diff --git "a/data/dm_maths/full_data/1042_11255.jsonl" "b/data/dm_maths/full_data/1042_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1042_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a(m) = -8*m + 10. Let t be a(-5). Let r be ((-5)\/t)\/(4\/30). Which is greater: -2\/13 or r?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/9 - (-50)\/30. Find o such that w + 0*o - 1\/4*o**2 - 3\/4*o**4 - o**3 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175*f**3*u**3 - 19*f**3*u**2 + 54*f**3 - 825*f**2*u + f**2 + 24*f*u**3 + u**3 wrt f.\nAnswer: -1050*u**3 - 114*u**2 + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -523760 and 233?\nAnswer: -122036080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42206*l - 42224*l = -162. Suppose 4 = 3*o + 1. Suppose o = -5*a + 16. What is the least common multiple of a and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, -4, -5, -85760 in increasing order.\nAnswer: -85760, -5, -4, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*i**5 + 15*i**2 - 2*i**5 + 6*i**2 - 7*i**2 wrt i.\nAnswer: -1020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 18 - (12 + (-5 - -2)) - (1 + 2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -222.1, -94\/69, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2616.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8*f**2 - 585*f - 13874. Determine o(92).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 745 = 13*j. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 + (-72)\/7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.099 + 46.901. Let b = v - 46.99999885. What is b rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -43. Suppose -y*c = -4872 + 13136. Let k = 171 - c. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*j**3*p**3 + j**3*p + j*p**3 + 3*j*p + p**3 wrt p.\nAnswer: -66*j**3*p + 6*j*p + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from aaaaaaaaaaaataaaata.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 4*b - b)*(-1 + 1 + 2) + 0 + 0 - 2*b - 2 + 2*b + 2 - 34473 - 15162*b - 34479 + 68952 + 25872*b + 32923*b.\nAnswer: 43629*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**2 - 8*o - 4. Let y(j) = -6*j**2 - 9*j - 5. Let t = 57 - 38. Let n = t - 25. Suppose 11 = 7*a - 38. Give a*x(v) + n*y(v).\nAnswer: v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Let o be t - (-2 - (0 - -2)). Suppose g + 12 - 8 = 0. Sort -5, o, g in increasing order.\nAnswer: -5, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*f - 28*f + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 44 and 41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -911 (base 12) to base 2\nAnswer: -10100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. What is the least common multiple of 51\/119 + (-159)\/(-21) and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 37*s - 278. What is the units digit of t(31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291099 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2\/39 (c) 123568 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2219800 and 4950?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvtw when four letters picked without replacement from {t: 2, b: 4, v: 12, w: 2}.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 8*o**2 - 6*o. Let s = -62 + 54. Let p be z(s). Factor p + 22*w + 47*w - 45*w + 3*w**2.\nAnswer: 3*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-3 + -1)*4. Sort -9, m, 2 in decreasing order.\nAnswer: 2, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1287\/44 + (-3)\/12. Let k(p) = -p**2 + 2. Let l be k(0). Solve 5*i + l*x = -b, i = 5*i - 2*x + 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 3, p: 1}. What is prob of sequence pf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33010 is divided by 32998.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.0623?\nAnswer: 0.1869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 16*a**2 - 7*a - 110. Calculate g(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 20deed?\nAnswer: -20e005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 439 and 1?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1647787405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10775287.7 take away 2910?\nAnswer: -10778197.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000136 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 126*y**2 - 654*y**2 - 951*y**2 + (0*y - y + 3*y)*(-y - 2*y + 5*y) + y**2 + y**2 - y**2.\nAnswer: -1474*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**2 - 4 - f - 1\/2*f**4 - f**3. Let u be 0 - -1 - (-1 - -4). Give x(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-2) - -2)\/(36\/(-24))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - -43) + 14\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 413*i*r**2 + r**2 - 401*r wrt i.\nAnswer: 413*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*n = 13, 0*f + 3*f - 5*n = -1. Let w be 1 - -1*(f - -20). Suppose w*o = 8*o + 1650. Is 29 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86045 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 1414433?\nAnswer: 1414443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(1 - -3))\/((-3)\/9). Find the common denominator of 81\/342*25\/y and 87\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = 5*p - 13, 5*y - 3*p - 20 = 0. Suppose 159 - 115 = y*u. Solve -5 + u = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - n**2. Let f be x(2). Suppose f*o = 20, 4*o - 10 = 5*p - 0*p. Solve 1 + 3 = p*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 - 21*v - 2. Let j be a(8). Let q = j + -22. Solve 5*m + q = 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*(sqrt(170) - 3*-2*sqrt(170)))\/((sqrt(640) - (sqrt(640) + -2*sqrt(640)))*5).\nAnswer: -21*sqrt(17)\/40 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924827?\nAnswer: 924827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9575877721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63935 is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2808 and -35\/1728.\nAnswer: 22464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbtbbbbbtbbb. Give prob of picking 2 t.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31195027 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * -11208.5.\nAnswer: 425923","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 + 162. Suppose -10*m + 180 = c. Is 11 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(637)*1 + sqrt(78)\/(sqrt(18)\/sqrt(3))*-5)**2 + 1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 2*r**2 - r. Suppose 3*v + 0 = 6. Let p be v - ((6 - 4) + -1). Calculate x(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0 - 9*a**2 + 0*a - 1\/2*a**3 + 1\/60*a**5 + 0*a**4. Calculate the remainder when b(4) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 + g + 1. Let t = -31 - -76. Let c = 60 - t. Suppose -7*y = c - 8. Calculate k(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (57\/4)\/(12\/64). Suppose 3*v = 44 + d. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11715 is divided by 650.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 1. Suppose -2*k = -5*k - 9. Let z(m) = 1. Let n(j) = -2. Let h(y) = n(y) + z(y). Calculate k*h(l) - a(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyua when four letters picked without replacement from yauzuyuzyy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -67*4\/8*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2) + (0 - (0 + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 899622 divided by 2173?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y - 3. Let k be a(-2). Suppose 0 = -2*u + u - 4*n - 15, n + k = 2*u. Let j(q) = 2*q**3 + 4 + 0*q**3 + q - u. Calculate j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.86, -4, -0.3, -2, -0.2 in descending order.\nAnswer: 0.86, -0.2, -0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 2*z + 6, -12159*o + 5*z - 4 = -12156*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 443.000046 + -443. What is l rounded to 6 decimal places?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 + 19*x - 17. Let k be d(-9). Let v = k - 204. What is the remainder when 127 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v - 16. Let q be d(-4). Suppose -2*y = 4*m - 93 + 15, q = -2*m + 5*y + 21. Which is smaller: 50\/3 or m?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {q: 4, c: 9, p: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137*t - 156 + 156)*(13 - 4 + 2).\nAnswer: -1507*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 2*n - 20. Let i be v(-6). Let h = 58 + i. Suppose -h + 274 = 4*g. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*q**2 + 2*b*q + 7395*b + 31*q wrt q.\nAnswer: -2*b*q + 2*b + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -24. Which is the closest to 4? (a) q (b) -2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -3, -0.2, 6\/13 in decreasing order.\nAnswer: 6\/13, 1\/5, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.038, -2, -12, -0.2, 0.18 in descending order.\nAnswer: 8.038, 0.18, -0.2, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 22*d**3 + 17*d**2 + 3*d + 1. Is m(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9547.926 to the nearest ten.\nAnswer: 9550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + (1 - 3))*-13. Let i = -83 + 86. Suppose i*l = 32 + f. Calculate the remainder when 28 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*m**4 + 10*m**3 - 69*m**2 + 19*m + 1.\nAnswer: -432*m + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v**3\/5 - 581922*v**2 + 103932644*v\/5 + 5986512 = 0. What is v?\nAnswer: -207865, -2\/7, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -69. What is the lowest common multiple of l and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 341, 554, 807, 1112?\nAnswer: 1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(-4)\/24*-8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -591 + 590.6. What is the second biggest value in 1\/5, -0.1, 3, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 14*c + 2. Let h(n) = 4*n**2. Give p(h(i)).\nAnswer: 56*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + 33 + 3 + -15 - 30.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 5*v - 70 = 0. Let f = v + 38. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4298, 5 in decreasing order.\nAnswer: 4298, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -352 + a6?\nAnswer: -2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 242\/117 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3\/3 + 1520*v**2\/3 - 145478*v\/3 + 772520 = 0.\nAnswer: 20, 89, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1891 is divided by 1879?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 2*y**3 + (-2*y**3 + 0*y**2 + 0*y**2)*(2 - 2 + 2) + 0 + 0 - y**3 in the form u*y**2 + r + p*y + j*y**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**7\/399 - 127*y**6\/95 + 17857*y**5\/95 + 18304*y**4\/19 + 24576*y**3\/19 - 69*y + 9. Find f, given that p(f) = 0.\nAnswer: -2, -1, 0, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/(3\/(-2)). Let p = 0.9 + -0.7. Which is the biggest value? (a) 4 (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39\/12 - (4\/16 + 0). Suppose -3*o = 2*n, n = k*o - 2*n. Let m be (0 - o)*21\/63. Solve 4*a - 3 + 19 = m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 99 = -2*b. Let d = 34 - 23. What is the greatest common factor of d and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - n**2 + 0*n**2. Let w(i) = -i**2 + 3*i - 3. Let q(m) = -3*m**2 + 8*m - 8. Let s(l) = 3*q(l) - 8*w(l). Give u(s(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26961714 is divided by 43.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 9*h - 207 = -4*k, -3*h + 15 = 0. Let z be k\/8 - 4\/16. Find the second derivative of -x**4 + 27*x**3 + z*x - 27*x**3 wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5*m + 2)*(-3*m + 3*m + m**3 + (3*m**2 - 3*m**2 - 2*m**2)*(m + m - 3*m) + 5*m**3 - 2*m**3 - m**3).\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3231896 + 2077.9\nAnswer: 2078.2231896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104 + 11?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**2 + x**2 + 4*x**2 + (2 - 2 - x)*(4*x - 4*x + x) - x**2 + 2*x**2 + 4*x**2)*((0 + 4 - 6)*(3*x + 1 - 1) - x + 4 - 4).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 32 - 80. Solve -a - r = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + -12 + 96 + -66.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 684*r**3 - 13*r**2 + 15*r - 9. Determine j(1).\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 1.3083.\nAnswer: 1.0083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 15 = -2*t, 5*a - 3*a + 39 = 5*t. Let k be (3 - 3\/t) + (-3)\/(-9). Let w(i) = i + 6. Let n be w(-3). Calculate the highest common divisor of n and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32313 (base 4) in base 5?\nAnswer: 12301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/3 (b) 153 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21472*y + 21417*y = -1100 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606457892 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 17, i: 3}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3231017677?\nAnswer: 1061, 3045257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 28*q + 14. Give w(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*r = 7*r - 8, -c + 5 = 2*r. Let s = c + 1. Does 18 divide (1 - s)\/(1\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/65740734 and -91\/35478?\nAnswer: 65740734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563815 - 0.4.\nAnswer: -563815.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2461 + 2543. Let v = -47 - -128. Let f = v - j. Let d(u) = -u**2. Let t(k) = 2*k**3 + k**2. Give f*t(m) - 3*d(m).\nAnswer: -2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 10 = -u, -4*a = 5*u - u + 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cf (base 16) in base 8?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(3) - (sqrt(24)\/sqrt(8) - sqrt(3))) + 5 - (3 + -4*sqrt(3))**2 - (-1*2*sqrt(12))\/sqrt(4)*-5).\nAnswer: -53 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -844 - -1764. List the prime factors of i.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-8))\/(5\/8))\/(8\/(-124))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 861 + -21531\/25. Let n = 43 + -73. Let w = 30.2 + n. Which is the third smallest value? (a) j (b) -2\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1736 is divided by 222.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -121?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72881 + 3?\nAnswer: 72884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1440269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48107 and 0.2.\nAnswer: -9621.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*x + 148, x - 4*x - v + 206 = 0. Let z be 0 - ((-3 - -4) + -41). Calculate the greatest common factor of z and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -100*y - 202, 1035*y - 4*m = 1038*y - 0*m + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f**3 - 4*f**2 + 4*f + 4. Let r(i) = -8*i**3 - 5*i**2 + 5*i + 5. Give -4*r(p) + 5*v(p).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 39*w**2 + 127*w - 279. Let a be u(-35). What is the highest common factor of a and 14696?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4393.\nAnswer: 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2297 + 6615 = 3*m - 5*c, 0 = 3*m + 2*c - 8926. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0138924 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579 + 93 = 84*c. What is the greatest common divisor of 1008 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1) + 2 + (8 - 11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.021 times -11\nAnswer: -0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 j, and 1 q when three letters picked without replacement from jlqgjqgglqgghhlg?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2246*44\/(-76) - -2. Let b = f + 1298. Let o = 18\/19 + -87\/152. What is the second smallest value in -0.1, b, o, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1110)\/(-1998))\/((-5)\/(-318)))\/(-1 - 7\/(-21))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*k - k = -6, -4*o = -3*k - 16. Let z(u) = -14*u**2 + 7*u. Let f(d) = -9*d**2 + 5*d. Determine o*f(s) - 5*z(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y + 12. Let a be (21\/(-4))\/7*4. Let b be o(a). Find the common denominator of 43\/20 and 219\/b + -6 + -2 + 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*h**2 + h - 186*h**2 + 106*h**2 + 1063 in the form k + s*h**2 + i*h and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382931 is divided by 3985.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 220, 191, 150, 97, 32, -45?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341, -1118, -2413, -4226, -6557, -9406, -12773?\nAnswer: -16658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -456?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 = 1. Let u be (3\/(-10))\/((-6)\/8). What is the nearest to s in u, 4\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 77*z**2 - 73*z + 230. Let u be x(-76). Solve -3 = y + 5*f, u*y = 4*f - 3*f + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = b - 5, 0 = 4*b + m - 16. Suppose 0 = 6*q - q + b*l - 1185, -2*l + 1200 = 5*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 4:53 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3863205*r**3\/4 - 2335503*r**2\/4 + 2642*r - 3.\nAnswer: (5*r - 3)*(879*r - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/2)\/(12\/32). Suppose -2*w + 3*f + 55 = -w, -57 = -w + 4*f. Let d = w + a. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 77*s - 3 + 5*s**2 + 4*s**2 - 76*s. What are the prime factors of w(-7)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3*v + 1. Let y(g) = v + 2 + 2*g**3 - 6*g**2 + g - 2. Let k be y(3). Solve k*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r = 46*r - 5*j - 34, -3*r + 33 = -3*j for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -434, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 1652*l**2 - 3*l + l**3 + 4 + 2*l - 1616*l**2 to w + q*l**2 + m*l**3 + g*l and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 5 = 4*y. Let g be 1\/(10\/(-44))*y. What is the greatest common factor of 198 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 10. Let l = 1106921 - 1106928.0000064. Let x = l + m. What is x rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.13 + 3.13. Let m be -2 + 1 - 30\/(-26). Sort 2\/3, y, m.\nAnswer: m, 2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0 - 168. Suppose y = -2*y + w. Let x = 5 + 10. Calculate the remainder when y is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17719 and 606535?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6246*p + 137412. Let n be x(22). Let k = -7 + 19. Which is the closest to n? (a) k (b) -4\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 8085?\nAnswer: -3234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17143, -27 in ascending order.\nAnswer: -17143, -27, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 51, 100, 149, 198?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {u: 1, q: 1, z: 1, b: 1, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 1:37 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -9*t + 255*t + 29761 - 3*t**2 - 29761 = 0.\nAnswer: 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -219 + -339 + 544 - (-77 - -1 - -1).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2697378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 135.274. Let t = c - 0.226. Let m = 8 - 3. Put 0.4, -4\/7, m, t in decreasing order.\nAnswer: m, 0.4, t, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.76 (b) 3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is the third root of 33060 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*1 - (-4 + 3). Let j(p) = 5*p - h - 5*p**2 - 2*p**3 - 1 + p**3. Let v be j(-6). What is the closest to 0 in -0.5, v, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 49 - 7744*o + 3870*o + 2 + 3870*o to the form i + a*o and give i.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78.77 + 78. Let d = -2 + 1.75. Let f = d - v. What is f rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 8 + 1 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 7*r**2 - 8*r + 7. Let v be h(-5). Let c be (v - 10\/(-4))*(-8 + 0). Suppose 0 = -c*b + 2 + 6. Solve b*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421477839.\nAnswer: 3, 193, 242647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) -5 (c) 164 (d) -2\/7 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3711 + 5127?\nAnswer: 11040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 + 7*x**4 + x**4 - 2*x**3 + 2*x**2 + 4*x**4 to a*x**2 + n*x**3 + m*x**4 + u*x + f and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181462846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*m - 4*m**4 + 7*m**4 - 2*m**2 + 194 + 10*m + 15*m**4 with respect to m.\nAnswer: 72*m**3 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 23 = -b. Suppose b*x + 95 = 4*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/14 + (-14)\/(-49). Suppose -z*d + 869 = -d. Let v = -612 + d. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2 = 4*j - 0, 4*j + 2 = 3*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 1 (c) 0.2 (d) -9 (e) -4 (f) -0.3 (g) -0.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(2 + -1) + -4. Suppose -3*v = 5*b - 13, -3 = -b - 2*v + q. Suppose b*m + 2*g = 2036, 3*g = -0*m + m - 1018. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 510*a**2 - 140*a + 1083. Is b(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 195697.443 to the nearest 1000.\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(-4*(sqrt(4) + sqrt(16)\/sqrt(4) + sqrt(4))) + (sqrt(18) + -1 + 0 + sqrt(2)*-2)**2)*6.\nAnswer: -25*sqrt(2)\/2 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9388 divided by 22406.\nAnswer: -4694\/11203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 104 = -116 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 19*x**3 - 104*x**2 + 176*x.\nAnswer: -x*(x - 11)*(x - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 49220.86167 to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 + 114.2. Put 1\/4, -1\/2, -60\/13, c in increasing order.\nAnswer: -60\/13, -1\/2, c, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9d + 117?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 67. Let s be (1 - (-6)\/z)\/(20\/(-50)). Solve 0*t - 17 = s*t + 2*r, -t - 25 = -5*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/65, -1\/3, 3, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2092 + 2095. What is the second smallest value in 4, 15, t, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213324*i**4 + 2*i**3 + 24250*i**2 - 436*i.\nAnswer: -5119776*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/(-680) + (-108)\/288 and -41\/595.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 1.8.\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(432)*-1 + sqrt(432) - sqrt(15)\/((sqrt(720) - sqrt(45))\/sqrt(9)))**2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 z, and 1 j when three letters picked without replacement from koazaokozjkd?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(5) - (sqrt(5) - (sqrt(5) - (sqrt(125) - (sqrt(125)*-2 + sqrt(125))))))**2.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 286 (base 12) to base 4.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -96. Calculate the remainder when -6 + h + (5 - 4) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x = 11*x - 7*o + 21, 5*x = 5*o - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.58 + 0.58. What is the biggest value in n, -17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 36. Let r be f(19). Let q be -6*(-4)\/6 - r. Solve -i = 5*k + 1, -6*k + q*k = -2*i + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1512 + 1532. Suppose -2*a - 5 - 7 = 0. Calculate the lowest common multiple of a\/(-30) - (-39)\/5 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)*y*y*y**(2\/23)*y**(2\/7)\/y**(-1\/4) assuming y is positive.\nAnswer: y**(401\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -243 (base 11) to base 15\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2186*z. Let i(x) = 240*x**2. Determine i(y(o)).\nAnswer: 1146863040*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.479 * -20.137\nAnswer: -29.782623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449 + 3*p - 11*p + 227 + 222.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2 + 2*q - 2 + 4*q. Let v(b) be the third derivative of 0 + 0*b**3 + 1\/30*b**5 + 0*b + 0*b**4 - b**2. Calculate w(v(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 9. Solve c - n = u, 0 = 3*u - 5*c + 3*c - 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 981200 = -130*o + 135*o, 2*o - 392501 = j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.60343 litres to millilitres.\nAnswer: 83603.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123565979 to the power of 1\/2, to the nearest integer?\nAnswer: 33520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3104570983, 3104570982, 3104570981, 3104570980?\nAnswer: 3104570979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 549 divided by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11*f - 10. Let h(t) = t - 1. Let n(b) = 6*h(b) + m(b). What is the lowest common multiple of n(-8) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**1*m*m)\/m)\/m)**(-1\/3)*m**1*m**2 assuming m is positive.\nAnswer: m**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 l when three letters picked without replacement from {q: 5, l: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-111)\/(-3) + 3 + 0 + 1. Suppose 0 = g*c - 45*c + 24. Calculate the remainder when 8 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 589*h**2 + 5*h**4 + 14*h**3 - 583*h**2 + 5*h**4 + 2*h**5.\nAnswer: 2*h**2*(h + 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4030, 3887, 3726, 3541, 3326, 3075?\nAnswer: 2782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/2, 3, -1\/9, 0, 0.06, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205132 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/17 - 74*c\/17 + 72\/17.\nAnswer: 2*(c - 36)*(c - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 1 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1561*y - 7124. What is u(4)?\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -322307 (base 8) to base 15\nAnswer: -21db4","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - l**2 + l + 20. Let k(q) = -q**2 - 5*q + 9. Let a be k(-7). Let g be 2\/a + 4\/10. What is the remainder when y(g) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 13*y + 13. Let d be t(-12). What is the highest common factor of 11 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 22 = -2*x - 0, -64 = -5*x - 4*h. Let z(b) = -3*b - b**2 - x*b + 15*b. Let i(m) = -7*m. Determine z(i(k)).\nAnswer: -49*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -225, -232?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.1 (c) 27\/8 (d) 0.366 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**2 - 47425*g - 804780 = 0 for g.\nAnswer: -9468, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + l**3 + 2*l**3)*((l - l - 4*l)*(2 - 4 + 0) - 3*l - 5 + 5).\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 0.03 (b) -825 (c) -2 (d) 51 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 10:54 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -2. Let k(w) = 2*w + 2. Let t be k(0). Suppose 2*u = 3*m + 13, 2*u - 14 = -0*u + t*m. Calculate the least common multiple of u and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from puuuppp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -14 + 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2069329854 to the nearest integer?\nAnswer: 45490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 66 = -9*m. Suppose -743 - 61 = -m*t. Let h = 130 - t. Sort 2, 5, h, -1 in decreasing order.\nAnswer: 5, 2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 0) + 0\/(-2). Let p = 2 - i. Suppose -4*t - 3 = -p*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m\/m**9)\/m)))**(3\/2)\/(m\/m**(-13))**10)**(-1\/12) assuming m is positive.\nAnswer: m**(307\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*r**4 + 43*r**4 + 1870*r**2 + 425*r**3 - 626*r**3 wrt r.\nAnswer: 24*r - 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13504, -16213, -18924, -21637, -24352, -27069?\nAnswer: -29788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 9 + 0)*(2*w**4 - 2*w**4 + 2*w**4).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, d: 6, x: 4}. What is prob of picking 2 y?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1402*p**2 - 2736*p**2 + 551*p**2)*(-p + p + 4*p).\nAnswer: -3132*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 10. Suppose 2*d = 7*d - v. Let k be (-1)\/((-13)\/5 + d). Which is the third smallest value? (a) -0.2 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 2. Let z(r) = 21*r + 100. Let m(a) = -2*v(a) + z(a). Let u be m(-4). Solve -4*o + 20 = -k, 3*o + 4 = u*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w*z**3 - 3*w*z + 172*w - 10*z**3 + 313*z**2 - z + 10 wrt z.\nAnswer: 6*w*z - 60*z + 626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080\/((-920)\/(-46)) - 61?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 9 = 3*p. Solve 3*a - 10 = t, p*a - 4*a + 7 = -4*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255793779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s**2 + 56*s - 10. Let i be h(6). Solve -3*k = i*p + 19, -2*k + 20*p - 22*p = 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -849 and -39591?\nAnswer: 33612759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.3 (c) -30 (d) -0.75417 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*w**3*x**2 + 917*w**3*x + w*x**2 - 3*x**2 + 591*x wrt w.\nAnswer: -72*w*x**2 + 5502*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -21. Suppose 3*j + b = y, -3*j + 0*j - 4 = y. Is j at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4373*l - 104304 = 33942 + 87117 + 58882 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4994482 is divided by 3083?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, 32 in descending order.\nAnswer: 32, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a - 29. What is the least common multiple of x(5) and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 5:05 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 63.35?\nAnswer: -63.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -c - 2 + 1, 0 = -4*c + 5*r - 8. Let i = 2 + c. Suppose -i*w + 269 = a, -3*w - a = -5*a - 166. Calculate the highest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4575*j + 4545*j + 2250 = 0 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*d + 36 + 219 = -1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13870 and 8030.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 187 = 133 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 7*r - 11. Calculate d(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (184\/(-20))\/(1 - 62\/60). Suppose 486 + m = 6*s. What is the remainder when s is divided by ((-8)\/10)\/(1\/(-40))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 0.031 (c) -5 (d) 1\/31 (e) -11 (f) 4 (g) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/175 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0183651159 to six dps.\nAnswer: -0.018365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3*a - 11 = -22, -5*w + a + 467 - 460 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23291610618.0081 - -23293591508. Let c = j + -1980803. Let s = c - 87. Round s to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + m**3 + 0*m**3 - m**2 + 0*m**2. Let f be y(3). Suppose f*j + 10800 = -3*j. What is j rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-15)*(-7)\/((-1610)\/(-23)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 1 + 6*b - 5*b)*(-1 - b**2 + 1).\nAnswer: -b**3 + 19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -19*v**2 - 2*v - 1. Suppose -9*k + 38 = -34. Suppose k*i + 10 = 2. Determine c(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 10*b + b + (2 + 1 - 1)*(-2*b + 0 + 0) - 2*b - b + 2*b)*(1 - 2 + 3).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 354917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*y - 99*y - 164*y)*(-2 - 1 + 1)*(3 - 2 + 0).\nAnswer: 374*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a centimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37235.54 nanograms?\nAnswer: 0.00000003723554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514410, 514408, 514406, 514404?\nAnswer: 514402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - ((-15)\/6 + 2))*484. What is the greatest common factor of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:17 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/9 (b) 1\/4 (c) 2\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -244?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.029 - -46. Let w = -0.129 - p. Which is smaller: w or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -679\/88 + 78\/11. Let s be (30\/(-1275))\/((-2)\/(-330)) - -4. Which is the biggest value? (a) 2 (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j**3 - 6*j**3 - 6 + 3*j**3 + 1. Let q(m) = 4*m**3 - 3. Determine -3*l(n) + 5*q(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(183 - 105 + 137)*(-2 + 398*h - 398*h + 4*h**4 - 3*h**2) to the form u*h**3 + d*h**4 + l + a*h**2 + i*h and give d.\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608226348?\nAnswer: 2, 3, 50685529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -32. Solve 2*s + 3 = -s, -4*v - s + q = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l + 8*l + 319 = 0 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 7. Let h(d) = -d - 2. Let l be h(7). Let r be y(l). Solve -r*m = 3*o - 1, -m + 3 = -2*m + 2*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2 + 11*i - 10*i - 2 + 1. Suppose 0 = 2*x - 4*f - 26, 0*f + 8 = 4*x + 3*f. Suppose -5*l - 2*w = -4*w + 50, 0 = -x*l + 3*w - 55. Calculate k(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79863326.\nAnswer: 2, 41, 101, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4319542.\nAnswer: 2, 2159771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, 37 in increasing order.\nAnswer: 5, 10, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-243)\/(-45))\/(-9))\/(4\/(-460))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b**(-7))\/(((b\/b**(6\/11))\/b)\/(b**(-3)*b)) assuming b is positive.\nAnswer: b**(-170\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 3. Let r be z(3). Let h be ((-110)\/99)\/(-1 + (-1)\/(-3)). Let u = h + -2. What is the third smallest value in u, r, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4 - 93188*x**3 + 838626*x**2 - 1397692*x + 652253 = 0.\nAnswer: 1, 7, 93179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + (-11 - -8) - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 + 335203116751?\nAnswer: 335203116651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3 - 92810*w**2 + 1020688*w - 927880 = 0.\nAnswer: 1, 10, 46394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9 = -k. Suppose 2*s - 5*g - k - 22 = 0, -2*g = 3*s - 18. What is the smallest common multiple of s and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 15*x - 16. Suppose -5*m + 6 = a - 7, -4*a - x*m = -20. Suppose j - u - 10 = 0, 2*u + 30 = a*j - 2*u. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, j: 4, w: 1, l: 4, s: 2, m: 2}. What is prob of sequence rs?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -13648.\nAnswer: 7\/13648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1749 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (26\/(-8))\/(2\/8). Let w = n + 11. Let v(h) = -h**3 + h. Determine v(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 114, 61, 8, -45?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {g: 4, u: 5, d: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2316 rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2\/7, -0.099, -10, -4, 2, 31?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 129*y + 11. Let v(o) = -43*o - 4. Suppose -2662 = -97*n - 94*n - 51*n. Calculate n*v(b) + 4*u(b).\nAnswer: 43*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*(-16)\/3. Let d be -4*(-2)\/w*13. Let x(z) = z**2 + 3*z - 2. Let j be x(-9). What is the greatest common divisor of d and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:30 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 4*w + 1764. Calculate the remainder when w is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + (-4*(sqrt(175)\/sqrt(45) + sqrt(35)))\/(5*sqrt(63)\/sqrt(36))))**2.\nAnswer: 256*sqrt(5)\/5 + 5716\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**3 + 31*a**3 - 19*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17519 - 10?\nAnswer: 17509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102212 (base 3) to base 11.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-64)\/(-36) - 2). Suppose 0 = 4*x - p*x + 60. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wdwmr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 - 10)*(-4*i + 4*i + 2*i**2)*(-3*i**2 - 5*i**2 + 4*i**2) to the form a*i**4 + p*i + x*i**3 + s + r*i**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - p + 4, 3*k + 0 = -p + 4. Suppose 4*w - q = -k*q - 128, -4*q = -w - 32. Let n = w + 34. Solve 4*u - n*u - 2 = 0, -b = 2*u - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 0*i**6 + 0*i**2 + 1\/2*i**3 + 0 + 0*i**5 + 0*i**4 + 1\/14*i**7 + 2*i. Find the second derivative of q(n) wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3185057 and -42.\nAnswer: -41.6814943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*x**3 + x**2 - 8*x + 15 wrt x.\nAnswer: -792*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324792?\nAnswer: 2, 3, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 29*u**2 - 9*u - 200. Is p(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 268624 - -187009. Let y = p + -455633.1000085. Let v = y + 0.1. What is v rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*f + 655 + 1082 + 1331 = -145 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 4*a**2 - 7. Let z be f(-3). Suppose -1035 = -5*r + g, r - 621 = -z*r - g. Which is smaller: r or 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 221*i**2 - 115*i + 449. Calculate the least common multiple of l(111) and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045 is divided by 176.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -5779462\/21 = -275213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 217, 431, 645, 859, 1073?\n\"Answer: 214*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 4*p**2 - 13*p + 4. Let w be b(6). Let k be (-1)\/(w\/(-76) - 0)*-2. Suppose 11*s = k + 111. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.9, 2.1, 5 in ascending order.\nAnswer: -2, 0.9, 2.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n - n)*(118 - 165 + 161).\nAnswer: 114*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 7973 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - -0.042009.\nAnswer: -77.957991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -58*t - 7417. What is u(-133)?\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: 1696\/(-62328)*6\/(-16)\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - 1.26. Let w = -8133090 + 8133089.83999948. Let n = w - x. Round n to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33444927*v + 620144402.\nAnswer: 33444927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 2*d + 22, -120*d + 4*m - 16 - 7 = -121*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 7*r - 6. Suppose 51*b + 392 = -5*b. Calculate q(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134906030?\nAnswer: 2, 5, 7, 109, 17681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 4*m**2 - 5*m - 3. Let v be d(-3). What is the second derivative of 4*k**3 + 9*k**v + 9*k - 6*k**3 wrt k?\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -244.878 - -16.898. Let r = k + 228. Let y = -23\/42 + 3\/14. Which is the nearest to y? (a) -0.1 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -3169*r**4\/12 - 1286*r**2 - 3*r - 242. Find the first derivative of y(l) wrt l.\nAnswer: -6338*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 24. Suppose -4*k - k = -4*s - f, -5*k + s + 22 = 0. Suppose -3 = -k*h + 1. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + -6*sqrt(84)*-2)\/(sqrt(12) + sqrt(24)\/sqrt(2)*-2) + 6*(3 + -4 + (sqrt(567) - (sqrt(567) + 1))).\nAnswer: -13*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20643)\/5898*(-3)\/(21\/(-170))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(1 - 1\/2). Let l be ((-1)\/k + 1)\/(-1). Let d be 2\/(-18) - (0 - 0). What is the nearest to -2\/5 in l, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 23*p**6\/10 - p**3\/3 + p**2\/2 + 7*p. What is the second derivative of u(w) wrt w?\nAnswer: 828*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75901.94 millilitres to litres.\nAnswer: 75.90194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2633 + -4?\nAnswer: -2637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.073 - 1376.927. Let m = -1377.773 - x. What is m rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6443863.\nAnswer: 6443863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76703*g**3 - 6968*g**2?\nAnswer: 460218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 1 - (4 - 6). Suppose -4*y + 9*y = 3*i - 33, -4*y + z*i = 27. Let j(l) = l - 10. Let o be j(y). Round o to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-20)\/12*24354\/990.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j - 7. What is x(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 2:35 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 133797*h - 7766948. Determine o(-58).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-53)\/((-3975)\/(-125)))\/(15\/207)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -a5b (base 14) to base 2\nAnswer: -11111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3 - 8\/3*i + 1\/6*i**3 + 1\/6*i**2.\nAnswer: (i - 4)*(i + 1)*(i + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1296337037698679896 - 1296337026238126375.99999907. Let f = b + -11460553441. Let m = 79 - f. Round m to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1477*k**3 + 1476*k**3 - 8 - 19 to u*k**2 + f*k + n*k**3 + b and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3343, -6697, -10053, -13411, -16771, -20133, -23497?\nAnswer: -26863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 2*h + h)*(3 - 12958*h + 53*h**2 + 12960*h - 5*h**3 + 2*h**3) in the form t*h**4 + m*h + i*h**3 + v*h**2 + j and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 9*y - 300. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438277 and 19635.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouo. What is prob of sequence ouou?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*x - 16*x - 22*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-335106)\/(-167554) + -2)*-1. Let t = n + -8126501\/11058564. What is the common denominator of 3*(962\/(-360) + 114\/95) and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + 2*sqrt(209)*-4 - sqrt(209))*3)\/((sqrt(110)*4)\/sqrt(10)*-3).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*y**2 + 0*y**4 - 17*y**2 + 9216 - 7*y**4 - 9218 in the form o*y + v + n*y**4 + g*y**2 + r*y**3 and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30549*w**4 + 46338 wrt w?\nAnswer: -122196*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 832 = -3*n, -2*u + 830 = -44*n + 47*n. Let b(h) = h**3 - 20*h**2 - 70*h + 33. Calculate the lowest common multiple of b(23) and n.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*g - 124*g + 1836 = -142*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22743*u**2 - 27665.\nAnswer: -45486*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9200 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + o**2 + 44. Does 22 divide q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7664 and 183890974?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 584.\nAnswer: 9928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12526 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 3*u = 42, -2*y - 28 = 4*u. Let l be -2 - -11 - (y - -22). Solve 18 = l*a + 2*t, 17 = 3*a - t - 4*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200 + 1?\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61*w + 147*w**2 - 35 + 86*w + 59*w**3 + 52 - 4*w**4 - 46*w.\nAnswer: -(w - 17)*(w + 1)**2*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbsj when four letters picked without replacement from {p: 1, s: 2, j: 1, i: 1, b: 2, l: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 348*d**2 + 6*d*x**3 + 28*d*x + 28394355*x**3 with respect to d.\nAnswer: 696*d + 6*x**3 + 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3*v - 20*g**3 - 14*g**2 + 2*g - 1900*v with respect to v.\nAnswer: -g**3 - 1900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*w = -u - 234, -5*w = 5*u + 560. Let y = 227 + u. Let h be 118\/(-210) - (-16)\/y. Is -3\/4 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.4 times 11.24\nAnswer: 49.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -616.\nAnswer: 3\/616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*z**3 + 1087802*z**2 + 39740151*z.\nAnswer: -30*z + 2175604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7676 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-185)\/(-35) + -1 + (-30)\/(-42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**5\/20 - c**3\/3 + c**2\/2 - 3*c. Let j be l(1). Let m = -3227\/13 - -248. Which is bigger: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5 + 7 = -k, 4*k + 5*l - 9 = 0. Let u = 3 - 5. Which is the fourth biggest value? (a) 0.3 (b) -5\/2 (c) k (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12437654?\nAnswer: 2, 6218827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + 88 - (116 - 29).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 36578.05\nAnswer: 36567.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 2. Let k be w(-3). Let y be (200\/(-2))\/((-34)\/104). Let z = 306 - y. Which is the second smallest value? (a) k (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/13 (b) -2\/7 (c) -2\/9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*r - 10*r - 9 + 42*r in the form w*r + q and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*l = 168, 144 = -4*w + l - 29. Is 21 a factor of -4 - 9\/(-3) - w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 6, 1\/3, -27, 3, 1, 195?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -186, -340, -494, -648, -802?\n\"Answer: -154*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490333836.\nAnswer: 2, 3, 19, 97, 22171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 1284. Let a be v(0). Let b = -10295\/8 + a. What is the common denominator of 5\/22 and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362220923 + 3685853077 = 3*g - 156*g. Round g to the nearest 100000.\nAnswer: -26500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*p**2 - p*r + p - 369*r - 3 wrt p.\nAnswer: 8*p - r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 3. Let f be c(5). Suppose p = -v - 1, -4*v + 2 = -f*p - 3*v. Let y = 0 + 3. Put p, y, 2 in ascending order.\nAnswer: p, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -144964*z. Let c(u) = u. Give c(f(s)).\nAnswer: -144964*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.89019l to millilitres.\nAnswer: 3890.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/(910\/(-496)) - (-2)\/10 and -63\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 6*i**2 - 6*i - 3. Let b(f) = 4*f**2 + 2*f - 1. Let s be b(1). Suppose n - 20 = s*n. Let t be v(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: b\"What is the dth term of -2095, -2206, -2497, -3058, -3979?\n\"Answer: -15*d**3 - 6*d - 2074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 111100011 (base 2) to base 15\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3.4, -0.2, 2, 1\/4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 2\/7 (c) -1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 - 122 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 93. Let p(n) = 2*n**2 + 311. Calculate p(l(s)).\nAnswer: 2*s**2 + 372*s + 17609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 + 4*l - 3. Let d(j) = -7*j**2 + 8*j - 7. Calculate -3*d(y) + 5*g(y).\nAnswer: y**2 - 4*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**4 - 2*b**2 + b. Let s(k) = 36*k**2 - 18*k - 108. Let u(f) = 18*a(f) + s(f). What is the first derivative of u(r) wrt r?\nAnswer: 72*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*p**3 - 683*p**3 + 224*p**3 + 230*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*m + 805*m**2 + 0*m - 1 - 735*m**2 - 42 wrt m?\nAnswer: 140*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -33. Suppose 5*o - r = 12. Let l(f) = 2*f - 1. Calculate the lowest common multiple of o and l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-105) + 321\/(-63). Let l = -2291 + 2288. What is the closest to 1\/4 in c, -1\/8, l?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10556106, 21112209, 31668312?\nAnswer: 42224415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 7*g**2 - 7*g + 5. Suppose 0 = 5*m - 3*m - 10. Let a be b(m). Solve x = -4*x + a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 20*v - 108. Give b(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107200 - 10716 = 2156*g - 17784 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqn when three letters picked without replacement from nqnnnnnnnnnnnnnnnnnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -21695*r. Let z(v) = -6481*v. Calculate a(z(y)).\nAnswer: 140605295*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:51 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16113\/7 + 35142467\/15267. Let z = q - -141749\/17448. Calculate the common denominator of -31\/9 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(2 + 5\/(-2)). Suppose 11 - w = 2*b. Suppose 189 + 11 = 100*q. Solve 7 = -q*z - c, -2*z - 5 = -b*c - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 216 = 17*w. Calculate the greatest common divisor of 32 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42417 + -42414. Solve -3*v + j*t = 12, 0 = -2*v + 64*t - 60*t - 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1723, 1719, 1715, 1711, 1707, 1703?\n\"Answer: -4*x + 1727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/16, -2\/5, -1\/20, 8, -2\/3 in decreasing order.\nAnswer: 8, 1\/16, -1\/20, -2\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-6) + (-1 - -18). Let k = m + -13. Solve -3*o - 3*c - 4 - 5 = 0, -c - k = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51580?\nAnswer: 2, 5, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1308.9974768 + -1309. What is p rounded to five dps?\nAnswer: -0.00252","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1005406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-96)\/30)\/((-4)\/10). Solve -n - j = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -7 + 10 + 2 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(68) + sqrt(119)\/(sqrt(21)\/sqrt(3)))*3.\nAnswer: -3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*s - 67 = 0, g - 21 = 2*s + 13. Is 32 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84*-1.624.\nAnswer: 136.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -15*y + 211. Let k be x(14). Is k < 1\/1166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -86 in ascending order.\nAnswer: -86, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from lxllxlll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 124066 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 2\/9, -1\/8, -0.2, 0.2 in decreasing order.\nAnswer: 2\/9, 0.2, -1\/8, -0.2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 80, 1 in decreasing order.\nAnswer: 80, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**2*p**2*r + 314*h**2*r**2 + 2*h**2*r - 2*h*p*r + 3*h*r**2 + 2*p**3*r**2 - 2*p**3*r - 5*p**2*r wrt r.\nAnswer: 628*h**2 + 6*h + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(1\/(-3)*-3). Let l = q + -10. Factor -8*g**4 - 3*g**4 + 19*g**3 - g**3 - 12*g**l + 2*g + 3*g**4.\nAnswer: -2*g*(g - 1)**2*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhlhl. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nineteen quarters of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*s + 332 - 248. Solve -s*x + v + 11 = 5, 2*v = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -6) + (6 - (-5 + 16) - 1) + 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - -1) + 322 + -359.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*d - 148 = 281, g - 112 = 4*d. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 6 + 0 + (-3 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -452*z**2 + z - 269 wrt z?\nAnswer: -904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 + -7 + 1)\/(-1). Let n be (-6)\/(-9) - (-23)\/(-3). Put n, -2, z in descending order.\nAnswer: -2, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**4\/12 + 2*g**3 + g**2 - 7*g. Let p be d(10). Suppose -3*t = -74 - p. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-26))\/(-2)*(-10)\/5\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2679 + 15572. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104798.3696 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905 = -78*y + 117*y - 47 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*q - 6, 5*q + 9 = -2*n + 2. Let u(y) = 461*y + 482*y - 938*y + 4 + 74*y**2. What is the tens digit of u(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -66. Let j = q - -45. What is the greatest common factor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 10 = -24*w. Which is the closest to 0.1? (a) w (b) 0.1 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/28 and 137\/32640.\nAnswer: 228480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mocd when four letters picked without replacement from {d: 1, z: 2, c: 3, q: 6, m: 2, o: 1}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -278*y**2 + 169*y + 1 wrt y.\nAnswer: -556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 10*x - 9. Let g be -3*((-64)\/12 - -4). Let r(d) = 3 + 1 - d + 0 - 3. What is g*c(z) + 36*r(z)?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/11 - 402499472*g\/11 - 20250728120034848\/11.\nAnswer: -2*(g + 100624868)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 245\/(-3276)*1 + 3\/36. Is -0.1 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22185065507537 and -13.\nAnswer: 22185065507524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 3*v - v)*(1 - 8 + 0)*(2 - 1 + 0) to the form i*v + p and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7572, 39, -2 in ascending order.\nAnswer: -2, 39, 7572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2*w = -56, 4*w + 240 = 4*u + 184 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117 (base 12) in base 5?\nAnswer: 132342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3457\/16 - -216. Let n(k) = -k**2 + k - 1. Let x(i) = i**3 + 8*i**2 - 2*i + 2. Let j(p) = 4*n(p) + x(p). Let a be j(-3). Is a < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 9*b - 40. Let q be b\/(-4) - (-6)\/3. Solve 0 = -0*n + n + q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 35. Suppose 4*w - 347 + 127 = j. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*z + 24 = 0, 0 = -25*u + 23*u + z - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93693*m - 93*m**3 + 706*m**3 + 2*m**2 - 93693*m - 25 wrt m.\nAnswer: 3678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (25 + 26 + -52 - (-1 + 122 + -2))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1148 + 85.05.\nAnswer: -1062.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0920869ml?\nAnswer: 0.0000920869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2045453*o + 1666303*o + 2918612*o.\nAnswer: 6630368*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d + d**2 - 3*d + (0*d + d + d)*(2*d + 4 - 4) - 1 + 6*d**2 + 1.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f + 7802 = 8006 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9 (b) 0.1 (c) 2\/187 (d) -0.1289 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**2 - 58*c + 265. Calculate o(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + q**2 + 66*q - 772. What is a(0)?\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 966 + -955. Let u(p) = -7*p + 171. Let c be u(24). Solve 4*i - c*o = -w, 3*i = -i - o + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 49*d + 464. What is k(-37)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/7 - 443127*s\/7 - 2658870\/7.\nAnswer: 3*(s - 147715)*(s + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -ba9?\nAnswer: ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29875 smaller than 268865\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2) + (-19 - -4 - (-19 - 5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/5 + 44\/10. Suppose 10 = -w*d - 0, l + 4*d + 6 = 0. Suppose -5*h + 270 = -2*u - 3*u, -l*u - 273 = -5*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 + x - 6*x + 2*x**2 in the form b*x**2 + t + l*x and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 270*g**3 + 2 - 149*g**3 - 277*g**3 in the form h*g**3 + a*g + w + y*g**2 and give h.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1928\/3 - -643. Which is the nearest to x? (a) -2\/3 (b) -2\/15 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 5, -0.16, -2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - u**3 - 3 + (3*u - 4*u + 3*u)*(u + 2*u**2 - u) + (0 + 2 + 0)*(u**3 - 6*u**3 + 2*u**3) + (-5*u + 4*u + 2*u)*(0*u + 0*u - 2*u**2).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*w + 501*w = -25668 for w.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 63. Suppose g*c - 2*y - 8 = 0, -4*c - 3*y - 1 = 4. Is c at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3600 and 7272?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3873911580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 5*c - 4. Calculate l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -3 + 1\/2*l**2 + 0*l. Let s(g) be the third derivative of g**4\/12 + g**2. Determine s(q(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*q - 5*q + 25 = 0, 2*q = w + 10. Let a(m) = -m. Let y(c) = -2*c - 5. Let d(k) = 3*a(k) - y(k). What is d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -28552b?\nAnswer: -285527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54191*l**3 + 3*l + 449027.\nAnswer: -162573*l**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -2523874.\nAnswer: 252387.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6270768 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -7. Let o be (-9)\/2*(-2)\/12. Which is the closest to -0.2? (a) o (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1388 + 1388. Put 1, t, -1, -3 in decreasing order.\nAnswer: 1, t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1098 and 30?\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 bigger than 24267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.8112 rounded to 1 decimal place?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 721.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 4*f + 32. Let j = -3 - f. What is the highest common factor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 2*h**2 + h + 1. Let d be t(2). Suppose 52 = 2*p + 5*n, 77 = 3*p - 3*n - 43. Find the common denominator of (-2)\/p*(d - 2) and 59\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l + 4*n + 72, -516 = l - 4*n - 538 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 870065?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 2*d - 4*d)*(7 - 2 - 2).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 25 = 5*f, 2*f + 4*a = -0*a - 12. Suppose -4*l - 14 = 5*m, 0*m + 3*l = -2*m. Let y be -2 + 3\/m*-76. Calculate the greatest common divisor of f and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3839, 3833, 3829, 3827?\n\"Answer: p**2 - 9*p + 3847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2*x + 1 + x**2)*(0 + 0 - x).\nAnswer: -x**3 + 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115203.999976 + -115202. Let v = -2.18 + 0.18. Let q = g + v. What is q rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 185*r**2 + 4*r + 37. What are the prime factors of q(3)?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-16) + 1 - 0\/1093?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x**5 + 324*x**4 + 65925*x**3 + 1532366*x**2 + 1042332*x - 424440 = 0.\nAnswer: -54, -30, -1, 2\/7, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(1872) - (sqrt(13) - (-2*sqrt(13) + -4)))**2 + (6*(-1*sqrt(325) - 1*(sqrt(13) + -2)))**2.\nAnswer: -624*sqrt(13) + 22874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y - 1060. Let h(a) = 18*a - 2126. Determine 5*h(r) - 11*x(r).\nAnswer: 2*r + 1030","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31304 or 62605\/2?\nAnswer: 31304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/120)\/(142\/639)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 205507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15554 and 308.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 3*m. Let u be v(5). Suppose z = 5*z - u. Suppose -3*l + 7 = -j, -5 = -3*l - 3*j + z. What is the smallest common multiple of 5 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 9144\/234 - 12 - ((-164)\/(-104) - -1).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -2\/11 (b) -3 (c) -0.5 (d) 263869 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110755 + -4298.\nAnswer: -115053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 15*i**2 + 2*i - 19. Let m be v(-8). Suppose 2*g + 6 + 9 = -3*n, 0 = 3*n - 5*g - 6. Let w = m + n. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -33, -5, -15, 0, 3 in decreasing order.\nAnswer: 3, 0, -4, -5, -15, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 8\/3*-3. Let r be (3\/(15\/(-80)))\/(-1). Suppose b*a - 6*a = r. Solve -2*w + j = -4, 5*j = 2*w - 0*j - a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 6*q**2 - 15*q + 9. Let y(h) = -h**3 - h**2 + 6*h + 9. Let p be y(0). What is the tens digit of t(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u = -74*u - 870 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106301.\nAnswer: 13, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b**2*i*y**3 + 714459*b**2*i - 365373*b**2*y**3 + 5*b**2*y**2 wrt i?\nAnswer: 4*b**2*y**3 + 714459*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8, 3, 418, 0.574?\nAnswer: 0.574","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -21*h - 14910. Let a(w) = 6*w + 4260. Let b(o) = 18*a(o) + 5*m(o). Let n be b(0). Round n to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 - 2 - (215 + -262 - -33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 620 + -626. Let o(q) = 4*q - 7. Let y = 13 - 3. Let f(c) = -y - 11 + 7*c + 8. Calculate l*f(s) + 11*o(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1312419?\nAnswer: 3, 437473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**2 - p**2 - 3*p**2 + 4*p**2 + 0*p**2 - p**2 + (1 + 0 + 0)*(-3*p**2 + 0*p**2 + 4*p**2) - p + p + p**2 + 0*p**2 - 2*p**2 + 4*p**2 + 2 - 2 - 2*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1324 + 1321. Suppose 5*x = -51 + 11. Let o(u) = -17*u + 3. Let g(t) = 6*t - 1. Determine p*o(l) + x*g(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -178 - -1244. What are the prime factors of m?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40268 at least as big as 1852353\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 + 1.2. Let v = -0.08 + 84.08. Let y = v - 93. Which is the third smallest value? (a) -2 (b) y (c) n (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 9. Find the common denominator of (-24)\/(-60) + d + (-99)\/(-390) and 55\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 97. Let i(f) = 5*f**2 + 5*f - 5. Let r(s) = -10 + 14*s - 7*s**2 - 4 + 21*s**2. Give o*i(q) + 4*r(q).\nAnswer: q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5398179317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**5 - 37*f**4 + 101*f**3 - 83*f**2 + 15*f = 0.\nAnswer: 0, 1\/4, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 429937820376\nAnswer: -429937820367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*g**2 - 5*d**3*g*k**3 + 11*d**2*g - 11*d**2 + 2*d*k**3 + 17539*g**2*k**3 wrt g?\nAnswer: 2*d**3 + 35078*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = -9. Suppose -5*r + 7*r - y = 0. Suppose r*m - 84 = -m + o, 3*m - 63 = -5*o. Is m bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106969897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -175 divided by -5\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*g + 11 = -11, -s = 5*g + 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 162 = 2*h + h, 0 = 4*h - 5*k - 216. Suppose 5*r = 4*p + h - 143, -4*r = 3*p - 90. What is the remainder when p is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1224*g**3 - 34 - 8 + 1222*g**3 as s*g + k*g**2 + x*g**3 + l and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 61. Let h = -6 + 4. Put f, h, -1\/8 in increasing order.\nAnswer: h, -1\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.30101 + 3.3. Round m to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c + 9. Let v be x(2). Suppose 26*g - v*g = 246. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**2 - 4*k + 4*k)*(-3 + 4*k + 3)*(2236*k - 729*k - 921*k) to the form c*k**4 + u*k + w + n*k**3 + x*k**2 and give c.\nAnswer: -4688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17381 - -1?\nAnswer: -17380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9159 + 146597\/16. Find the common denominator of 67\/22 and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21180 - 63.9\nAnswer: 21116.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(300) + -1)**2 - (sqrt(75)*-1 + 3)**2) + 1.\nAnswer: 70*sqrt(3) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a - 221*a**4 - 3 + 1 + 84*a**4 + 95*a**4 - 2*a**2 + 98*a**4 to the form j*a**3 + y*a + q*a**4 + u*a**2 + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 3*i**2 - 8*i + 11. Let z be v(6). Let a = -125 + z. Let r = a + 596\/11. Put -2\/13, r, 3 in ascending order.\nAnswer: -2\/13, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -270 equal to -268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9481792, -9481787, -9481780, -9481771, -9481760, -9481747?\n\"Answer: n**2 + 2*n - 9481795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5677\/4 or 1420?\nAnswer: 5677\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*p - 7*p + 5*p**4 + 6*p**4 + 5*p**4 + 4*p**4 + (-p - p + 3*p)*(-3*p**3 + 4*p**3 + p**3) - p**4 - 3*p**4 - p**4.\nAnswer: 17*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(539) - (sqrt(539) + (1 + sqrt(539) + -1 - sqrt(539)) + sqrt(539) - sqrt(539)))*-3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.00475 + 40. Round g to four dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/4)\/((3045\/280)\/(-29))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*x)*(16*x - 53 + 53).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14519904 by -238.\nAnswer: 61008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(-2)*(-80)\/60. Solve -4*x - 2*h + 0*h = t, 4*x + h = -15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 3*t - 9 + 19 to g*t + d and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s**3 - 3840*s**6 - 4299*s**6 + 7669*s**6 + 5*s**2 + 150 wrt s.\nAnswer: -56400*s**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4254906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 32 - 8. Solve -p*f = -2*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110 or -114?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/15)*q*q*q)**(-10)*(q**(-28)\/q)\/(q**(-28)\/q) assuming q is positive.\nAnswer: q**(-116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9438 and 1123980?\nAnswer: 12363780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 3*i**3 - 3*i**3 + (-59*i**3 + 1682*i - 1682*i)*(0 - 1 + 0) as y*i + m + b*i**2 + d*i**3 and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(15\/(-6)) + -5. Let b(k) = -k**3 + 3*k - 3. Calculate b(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*v + 504 = -129*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*j + 245 = 618*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000128036 to 7 dps.\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/84 and -41\/180642.\nAnswer: 361284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by 4.\nAnswer: 157\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**3\/3 - f**2\/2 - 2*f - 4. Let b be 1036\/(-481) + (-4)\/(-26). Give o(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.2. Let o = h - 0.2. Let i = -47 + 47.5. What is the biggest value in 5, i, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - (-32 + -148 + 63).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -478*l - 1. Let r(c) = 58015 - 4*c - 58015. Determine r(j(h)).\nAnswer: 1912*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -10, 3, 14?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/2 (b) -25 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -14*v**2 - 104*v - 1083. Calculate p(-9).\nAnswer: -1281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.53 + -0.05. Let q = k + 28.52. Let v = 22 - q. What is the second smallest value in v, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 450425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 0.2 (c) 5 (d) -2\/203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/(y*y**8*y))**(-47)\/((y**1\/y)**13\/(y\/(y*(y*y**0*y)\/y)*y*y**6\/y)) assuming y is positive.\nAnswer: y**(1472\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 5*i**2 - 2*i + 6. Let h be o(6). Let x be (1\/(-10))\/(7\/h). Factor 3\/5*c**4 - 3\/5*c + 3\/5*c**3 + 0 - x*c**2.\nAnswer: 3*c*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -362*v**2*z**3 - 2*v**2*z**2 - 2*z**3 + 277*z wrt v?\nAnswer: -724*v*z**3 - 4*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 4*o + 3. Let h be i(4). Let p = -5 - -8. Find the third derivative of -8*q**p + 8*q**h - q**4 - q**2 + 0*q**4 wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5583, -5339, -4931, -4359, -3623, -2723?\nAnswer: -1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 192\/66 - (-11)\/121. Solve 69*u + c = 70*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/16*9 + 2. Let i = -7 - -12. Suppose -i*o = 7 + 8. What is the closest to 0.1 in d, o, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u - 467 = 193 + 1322 - 38 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-2)\/(-5) - ((-203486976)\/155)\/32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 2*t**3\/3 + 11*t. Let d(o) = 0*o - 4*o + 2*o. Let z(x) = 6*x**3 + 1. Let b be z(-1). What is b*d(a) - 2*w(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6755, 13475, 20195, 26915, 33635?\nAnswer: 40355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -223.03 rounded to the nearest integer?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50002*s + 50002*s + 27*s**3.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.659137nm in kilometers?\nAnswer: 0.000000000004659137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -14 + (24 - 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 272, 289, 324, 383?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20561161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.032 - 156.032. Let u = 156 + m. What is the nearest to u in 0, -3, 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -2 - 1*sqrt(1872))**2 + (sqrt(65)\/(2*sqrt(5)) - (2 + sqrt(13) + 5)) + 2.\nAnswer: 15*sqrt(13)\/2 + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(3\/7)))**(2\/89)*a**(-1\/2)\/(a\/(a\/(a\/(a*a\/a**(-4))*a))) assuming a is positive.\nAnswer: a**(4373\/1246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -496 or -505?\nAnswer: -505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/4070040 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/15)\/(u**(-4\/7)\/u) assuming u is positive.\nAnswer: u**(158\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46 or -50465\/1131?\nAnswer: -50465\/1131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136 - -280. Calculate the remainder when d is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 350969692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 194?\nAnswer: 3880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = -2*w + 12*l - 3, -12 = w + 5*l. Factor 14*o - 3*o - 5*o**2 + 5*o**w - 21*o.\nAnswer: 5*o*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + 28*r**2 + 5*r - 47. Calculate f(9).\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + a + 38 = 0, 8 = 2*w - 5*a + 7. Let g(n) be the first derivative of -1 - 10*n - 3\/2*n**2. Determine g(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l + 61. Let f be u(5). Suppose 0 = p - 2*p + 3. Solve s = f - p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 2, -3, 7, -57 in decreasing order.\nAnswer: 7, 2, -2, -3, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121674538 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 63 = -r + 6, 5 = 5*r. What is the remainder when 46 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*d**3 - 50*d**2 - 20*d + 50*d**2 wrt d.\nAnswer: -108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m - 72 = -28*m. Is 6\/m*-8079 - (10 - 13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 2*r**2 - 36*r - 11. Calculate d(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -1199, -3986, -9401, -18320, -31619, -50174, -74861?\nAnswer: -106556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(136)\/((sqrt(32)\/sqrt(4) + sqrt(8) - sqrt(8))*-2)*-1 + 0).\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*a - 22, -96*i - 106*i - 11 = -201*i - a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2\/3 + 2638*v\/3 + 595340\/3 = 0.\nAnswer: -1030, -289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 14. Let m be -2 + -3 + 2 + b. Put 2, 1\/4, m in descending order.\nAnswer: 2, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15013307119095.2 and 0.5.\nAnswer: 15013307119095.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 5*d**2 + 4*d**2)*(-2 + 0 + 1)*(-1 + 3 + 1)*(-1 + 7*d + 1).\nAnswer: -21*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 + i**4 + i**3 - 127*i + 112*i - 3*i**3 as f*i**4 + v*i + s*i**3 + n*i**2 + m and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/23)\/w**(-5\/8) assuming w is positive.\nAnswer: w**(83\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 413 and 92453?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1186*b - 6*b**3 - 1186*b.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.18595943 to 0 dps.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a minute?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 44*i - 32*i + 22*i.\nAnswer: -54*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20454 and 48?\nAnswer: 163632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-2) - (-6)\/4. Suppose -2*l + 5*y + 988 = 0, 2*l + 992 = 4*l - s*y. Suppose -2*b + l = 4*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169464450.\nAnswer: 2, 5, 7, 11, 89, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + 54.1. Let q = 3.5 + k. What is the nearest to 1 in q, -1\/17, 3?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*h**2 + 29*h**2 + 30*h**2 + h**3.\nAnswer: h**3 + 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6996 + 20?\nAnswer: 7016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 17*a - 83. Give p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 27521 (base 14) to base 5\nAnswer: 11101144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 15. Calculate the smallest common multiple of 52 and f.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -23*g**2 + 5 - 14*g**6 + 0 + 0*g**2. Let c(y) = 15*y**6 + 23*y**2 - 4. Let a(f) = -5*c(f) - 4*q(f). Find the third derivative of a(z) wrt z.\nAnswer: -2280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/9 - 104191234*j\/9 + 2713953310610689\/9 = 0 for j.\nAnswer: 52095617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 55.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41684*y - 3*l = 41687*y, -5*l - 20 = -5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6*x - 4*x + x)*(2*x + 0*x + x) + (-5*x + 4*x + 0*x)*(-1 - 2*x + 1))*(2*x - 2*x - 64*x) to s + w*x**2 + a*x + j*x**3 and give j.\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 164075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/4 of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30988?\nAnswer: 2, 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48699 + 48701. Let u = 1.2 + -0.2. Which is the closest to h? (a) u (b) 1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9336*n**3*p**3*v**2 + 10*n**3*p**2*v**2 + 2*n**2*p**3*v**2 + 62*n**2*p**2*v - 7*n*p**2*v**2 + n*p*v**2 + 3*p**3*v wrt n.\nAnswer: 56016*p**3*v**2 + 60*p**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - p + 1 = 0, -2*y + 3*p = -9 + 1. Let d be -2 + -1 - (1 - y). Is 2 - 1*12*d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l = 84*l + 112920000. Round l to the nearest 10000.\nAnswer: -1880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 107 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -86*z + 84*z - 93, 98 = 5*t + 3*z. Solve 0 = t*a - 20*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-1*(-2 - 0). Is (-7625)\/(-10) - p\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37313161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 times -1703?\nAnswer: -481949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 39991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 724 a factor of 3860980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4*n**2)*(-3*n - 2 + 2)*(-4 + 4 - 2).\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-695)\/278)\/(-2 - 62\/(-36)). Solve -l + 3*a - 17 = 0, -21 = 5*l + 10*a - r*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 13.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45.43 - 46. Let r = 3.57 + h. Which is the closest to r? (a) -7 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 111845*p**3 - 11*p**2 - 56*p - 752026431?\nAnswer: 335535*p**2 - 22*p - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -y + 21, -3*o + 7 + 98 = 5*y. Let f be y\/4 - 1\/4. Put f, -0.2, -2\/7 in decreasing order.\nAnswer: f, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-40)\/6)\/((-2)\/(-27)). Is 2 a factor of ((g\/12)\/5)\/(6\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2672*f**4 + 8*f**3 + f + 1636510 wrt f?\nAnswer: 10688*f**3 + 24*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*(j*j\/j**23*j)\/j*((j*j\/j**0)\/j)**(-4\/13))**12 assuming j is positive.\nAnswer: j**(-3012\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + 3 + -2)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/6 - (-6)\/(-9). Suppose -3 = a*c + i, -4*c + 7*i = 5*i - 14. Suppose 0 = -d + 2*d + 5. Put -1, d, c in ascending order.\nAnswer: d, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, -3, 5, -0.4, 3 in decreasing order.\nAnswer: 5, 3, -0.4, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-1))\/(1*-3). Let m(j) = -3*j - 2. Let u(l) = 30*l + 21. Calculate v*u(o) + 21*m(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48997946 to the nearest integer?\nAnswer: 7000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-396)\/(-48)*(-16)\/(-24))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 247 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19996770 by 3999354.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*u - 2*s, -16*s = u - 12*s - 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8015908 and 34.\nAnswer: 8015908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4 - 5*d - 4 + 4*d. Let z(u) = -6*u**2 - 10*u + 10. Let f(l) = -2*l**2 - 3*l + 3. Let r(c) = -10*f(c) + 3*z(c). Give r(b(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/180 and ((-19519)\/(-3930))\/(252\/10)?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170844 is divided by 534.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005178032 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m*q*u**2 - 350*m*q*u + 100*m*q + 1047*m*u**2 - m + 82*q*u**2 + 2*q - 4*u**2 + 67*u wrt u?\nAnswer: 2*m*q + 2094*m + 164*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t + 0*t - 10 + 7*t - 2. What is the remainder when i(11) is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-488)\/(-2928)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)\/(a*a\/a**0*a*a))\/(a**(-6)\/a*a*a*a**(-8)\/a) assuming a is positive.\nAnswer: a**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14329 and 2225.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**4\/12 + 19*j**3\/6 + 21*j**2 + 1002*j. Factor h(o).\nAnswer: -(o - 21)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 1331, 5, 2, 3 in descending order.\nAnswer: 1331, 5, 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**4 + 4*m**4 + 0*m**4 + (2*m**2 + 0*m**2 - 4*m**2)*(-17 + 17 - 2*m**2) to i*m**4 + p*m**2 + n + x*m**3 + v*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**5\/4 - v**3 - 3*v**2 + 4*v. Let d(c) = -4*c**3 + 5*c + 5. Determine -6*d(l) - 5*m(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.34 - 0.64. Let c = 3 - b. What is the nearest to 0.2 in 4, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 1. Let j be w(-5). Let u(q) = -7 + 2 + q**2 - 2*q + 2*q. Is u(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 5*b**2 + 0*b**3 - 2 + b + b**3. Let i be m(4). Let c be (-10)\/4 - 2\/4. Sort c, i, -1 in descending order.\nAnswer: -1, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-360)\/(-192)*(-8)\/(-18).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z + 7. Suppose -3*v = -3*s + 15, 3*s = -3*v - 5 + 2. Let t = 12 + v. Let b be h(t). Round b to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 432881\/560 - 773. Let y(z) be the third derivative of 0*z**3 + 0 + 0*z - 1\/40*z**5 + i*z**7 + z**2 - 1\/16*z**4 + 1\/320*z**6. Let y(q) = 0. Calculate q.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**3 + h**2 - h - 1. Let i be y(-1). Let m = i - -3. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10d917 (base 14) to base 16\nAnswer: 8c731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o*w**2*x + 11*o*w**2 - 1095*o - 701596*w**2*x + 3*w**2 + 2456*w*x wrt w?\nAnswer: -4*o*x + 22*o - 1403192*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -73919\/2899 and -24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 1, w: 1, u: 6, s: 8}. Give prob of sequence ixs.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -27. Let b(k) = -80*k + 738. Let j be b(8). What is the greatest common factor of j and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6 > -13554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 6*v - 3. Let d(n) = -n**3 - 5*n**2 + 5. Let j be d(-5). Find the first derivative of -1 + j - l**3 - 4*l**3 + 0*l**v wrt l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1015 divide 4425144544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 20, -3 in decreasing order.\nAnswer: 20, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Let j = 0.4 - -1.6. Suppose 117 = -5*f + 107. Which is the closest to f? (a) -1 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1062+29\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Suppose m*j = 4 - 0. Let u be j\/(-3) - (-354)\/9. Calculate the greatest common factor of u and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1)\/(3888\/(-256) + 15).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/138060 and -173\/1540500.\nAnswer: 272668500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -12*x - 112. Suppose 5*y - 2*n = 154, 0*y + n - x = -y. Let m be y\/24*(-8)\/20. Is -1.6 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/17)\/o)\/(o\/(o\/(o**(2\/17)*o)))*(o\/((o**(1\/2)\/o)\/o))**(-4\/17)*((o**(-1\/2))**(-2\/37))**22 assuming o is positive.\nAnswer: o**(-773\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/4 or 1115?\nAnswer: 1115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-3))\/(-8))\/((-3)\/(-12)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156447274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 3)*1 - 17. Let i be ((-11)\/(-22))\/((-1)\/s). What is the greatest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682, 681, 680, 679, 678?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 2*b - 159. Calculate the greatest common factor of b and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 45 - 577126*r**2.\nAnswer: -577126*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 48\/28*(-40432)\/912\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:24 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 9) + (-10 + 10 - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -628 greater than or equal to 1.83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 h, 1 n, and 1 u when four letters picked without replacement from chnnucuccu.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:24 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 16*b + 19*b**3 - 2*b**4 - 2*b**2 + 15*b - 10*b**3 + 3 in the form q*b**3 + a*b**4 + p*b + s*b**2 + n and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2411*b**3*n - 4008*b**3 - 2*b**2*n - 68*b**2 - 181*b*n - 2*b + n wrt b?\nAnswer: 14466*n - 24048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -13*m. Let r(n) be the second derivative of -4 + 0*n**2 + 0*n**3 + 1\/3*n**4 + n. Give r(o(y)).\nAnswer: 676*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-568.\nAnswer: -227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (-1212)\/16)\/((-53)\/(-22)). Let i = c + 34\/53. Calculate the common denominator of i and (7\/(-24))\/((-2)\/78).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -553, 0, 0.3?\nAnswer: -553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -266.9885 - 0.0115. Let q = 157 + y. Let u = q - -109.999999866. What is u rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14570, 14569, 14568?\nAnswer: 14567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.34382ml?\nAnswer: 0.00034382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2643 + -1a?\nAnswer: 2628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 336021739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186417 + 350.73.\nAnswer: -186066.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 3*s - 6*s**2 - s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/(h**(-4)*h))\/((h\/(h\/(h\/h**(2\/15)*h*h))*h)\/h*h**(-5)*h) assuming h is positive.\nAnswer: h**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16214?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 84*j - 553. Give c(60).\nAnswer: 887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002530913 rounded to 5 decimal places?\nAnswer: -0.00253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 i when three letters picked without replacement from ijyypippp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6155 - 2661?\nAnswer: 3274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2678299256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*w + 6*w. Let d(l) be the second derivative of 0*l**4 + 0*l**3 + 1\/10*l**5 + w - 3\/2*l**2 + l. Differentiate d(i) wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*f + 7, -2*u + 6 - 2 = -f. Suppose -k + 22 = f. Calculate the remainder when 39 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 9*v + 10. Let l be b(-7). Let x(i) = -i**2 + 2*i + 3. Let k be ((-6)\/15 + 0)*5. Let q be x(k). Put 1, q, l in descending order.\nAnswer: 1, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125*b**3*s + 357919*b**3 - b**2*s + 6*b**2 - 338*b*s + 6*s - 11 with respect to s.\nAnswer: 125*b**3 - b**2 - 338*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 1\/80*k**5 + 0 - 1\/2*k**2 - 1\/24*k**3 - 8*k + 1\/12*k**4. Solve h(n) = 0 for n.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -821.97 + 893. Let i = 0.97 + s. Let b = -71.26 + i. What is b rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167835*m + 167835*m + 6*m**2 - 37 - 2*m**3 to r*m + q*m**3 + y + o*m**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 28. Let g be s(8). Let x be (-2)\/g - ((-15)\/5)\/18. Suppose 6*m - m - 990 = x. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*((sqrt(17) - (-6*sqrt(85)\/sqrt(5) + sqrt(17))) + sqrt(17) + 4 + -4))**2.\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6057, -6188, -6537, -7212, -8321, -9972, -12273?\nAnswer: -15332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/73, 1\/214, -3\/2 in decreasing order.\nAnswer: 2\/73, 1\/214, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 613 and 15742453.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -34*t**7\/105 + t**6\/60 + 4*t**5 + 174*t**2. Find the third derivative of c(k) wrt k.\nAnswer: -1632*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**4\/3 + 9692*f**3\/3 - 143324*f**2 + 4592180*f\/3 + 5031848\/3 = 0.\nAnswer: -1, 23, 2378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*k = -194*k - 8. Suppose 0 = k*m + 2*h + 8, -3*m = -h - 0*h - 4. Solve 4*r = -8 - m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + m - 7. Let c(j) = -2*j**3 - 6. Let x = 155 + -15. Let g = x + -142. Determine g*t(v) + 3*c(v).\nAnswer: -2*v**3 - 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11528.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 10. Let u be k(0). Suppose -2*h = -0*h - u. Suppose 0 = -4*m - 8 + 16. Sort m, h, -5 in ascending order.\nAnswer: -5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170 by 35.\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 4*c**2 - c - 4. Let w(o) = -6*o**2 - o + 671 + 0*o - 672 + 7*o**2. Give -b(s) + 4*w(s).\nAnswer: s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 plus 403171?\nAnswer: 403170.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8349\/5445 + (-3)\/(-15)*-1)\/(14\/(-1281))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -239468*m**4 + 19299*m**2 - 5.\nAnswer: -5747232*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -123?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*k + 5 = -1, -2*s + 3*k + 11 = 0. Solve 3 = -b + 2*d + 9, s*b + 21 = -d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 48 + 42. Calculate the highest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -2405?\nAnswer: -2406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.04316 - -4.04299. Let v = i - -24. What is v rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 90*v - 54. Let r be d(3). Let q = 59 - 35. Calculate the greatest common factor of r and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229636919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2183047 and 904?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-363)\/(-6))\/(9\/774 - 0)?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -10. Suppose 21 = -3*d - 3*z, -3*d + 4*z + 0*z - 56 = 0. Let m = -5 - d. Solve -4*t = m + c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 204 = 4*x, 0 = -3*x - x - 5*f + 202. Let g = 176 - x. What is the third derivative of 9*h**2 + g*h**4 - 118*h**4 - 30*h**2 wrt h?\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11570732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-577)\/(-24234)*(37 - 2).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/12)\/(-4)*0. Suppose -5*g + 69 + 91 = l. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6299598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/2 + -13)\/((-1)\/35). Suppose -12*z = -t - 659. What is the remainder when z is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 + -72. Let a = j + -27. Suppose -3*n = 5*k - 46, -2*n - a = -4*k - 3*n. What is the highest common factor of k and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1832\/(-390))\/(20\/30). Let x be (6\/10)\/((-1)\/12). Let b = x - r. What is the smallest value in 3, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24313, 20502, 10147, -10028, -43299, -92942, -162233?\n\"Answer: -546*y**3 + 4*y**2 - y + 24856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356, -1655, -3840, -6929, -10940, -15891?\nAnswer: -21800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + l = -2, -2*y + 2*l - 2593 + 2585 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p - 4 + 2*p**2 - 1 + 7*p**3 + 3 + 0*p**2. Let k(m) = -13*m**3 - 4*m**2 + 13*m + 4. Let f(d) = -6*k(d) - 11*q(d). Factor f(t).\nAnswer: (t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkfffkkffff. What is prob of sequence kkk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 7*j**2 - 8*j + 10. What is n(7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**5\/13 - 410*n**4\/13 + 2518*n**3\/13 - 2966*n**2\/13 - 2516*n\/13 + 3376\/13 = 0?\nAnswer: -211, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2, 1.212?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -298a?\nAnswer: 2991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2. Suppose 0*k = 2*k - 10. Let t(c) = c. Let r(d) = -2*d. Let j(v) = k*r(v) + 6*t(v). Calculate s(j(a)).\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 93\/34 (b) 5 (c) -0.1 (d) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t + 2*a = 114, 0 = 5*t - a - 190. Calculate the remainder when t is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376516470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-608)\/114*4\/24*9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 5*z**2 - 8*z - 6*z**2)*(-2*z + 4*z - 5*z).\nAnswer: 3*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 298 and 85526.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 5, m: 1, k: 2}. What is prob of picking 1 k and 1 f?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -5 (c) -110271 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 5*j - 5*j + (4*j + 0*j - 2*j)*(1 + 1 - 1))*(114 - 161 + 633)*(-6 + 1 - 3) + 2*j - 2*j - 3*j.\nAnswer: -14067*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-5))\/((-3)\/(-6)). Let s = 129\/4 - 389\/12. Which is the third smallest value? (a) -3 (b) s (c) 0.2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 15 + 0*b - 3*b.\nAnswer: -3*b - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 26 - y - 18 + 14.\nAnswer: 4*y - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 10934\/(-18))*(-33)\/(-55). Let g = b + 364. Factor 0*w + g*w**3 - 2\/15*w**5 + 0 + 0*w**2 + 0*w**4.\nAnswer: -2*w**3*(w - 1)*(w + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*n**5 - 63*n**4 - 387*n**3 - 26639895*n**2 wrt n?\nAnswer: 2220*n**2 - 1512*n - 2322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**6\/60 - 11*h**5\/60 - 13*h**2. Find the third derivative of j(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100000 (base 3) to base 12\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7*j + 7)*(1 + 1 + 0)*(-3*j + 2*j**2 + 3*j + (-2*j**2 + 4*j**2 + 0*j**2)*(-4 + 5 - 3) - j**2 + 5 - 5 - 4*j - 2*j**2 + 4*j).\nAnswer: -70*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 = -5*f - 3*t, -4*t - 884 = -22*f + 16*f. Solve -4*z = 124 - f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14 - 15\/21\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + r - 59, -3*u + 3*r + 25 + 23 = 0. Let h be (-18)\/(-27) - 2\/3. Let f(v) = v**2 + v + 6. What is the remainder when u is divided by f(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**2 + 438*y - 4439. Calculate o(-82).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14954768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - -80456063.\nAnswer: 80456063.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from koksasaq. Give prob of picking 1 o, 1 s, and 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 13 = 6*v. Let t(a) = 5 - v*a - 3*a + 13*a. What is t(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**2 + 3054*n + 9144 = 0.\nAnswer: -1524, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/9)\/(5640\/(-144) - -39)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 14, -8, 1123 in decreasing order.\nAnswer: 1123, 14, 6, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*m - m. Let f = -17 + m. Is (6\/f)\/((-24)\/4768) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + a**3 - 13*a - 141*a**2 + 146*a**2 + 4. What are the prime factors of g(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 48*z**2 - 13*z - 10. Let x be c(-3). Let t = 562 - x. What is the remainder when 398 is divided by t?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884025447 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -0.6. Let i = 1 - h. Let u(s) = s**2 + 3*s - 5. Let o be u(-5). Do o and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 8:25 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:20 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -988*o = 29069 + 8475 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.433595 - 0.033595. Let s = -1.99 + 2. Which is the nearest to 1? (a) y (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3210 is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6350 (base 11) to base 15.\nAnswer: 30d0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Add together 23531 and 141270.\nAnswer: 164801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52011387 divided by 22.\nAnswer: 52011387\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-4\/3)\/c))\/((c*c\/(c**(-2\/79)*c*c))\/c))\/(c*c**(-1\/25)*c*c*c**(1\/4)\/c*c*c*c) assuming c is positive.\nAnswer: c**(-45077\/23700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 3 + 287*j**2 + 78*j**2 - 28*j**2.\nAnswer: 337*j**2 + 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (33 - (-130)\/(-4))\/(2\/118660)?\nAnswer: 5, 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 38, 1.33, -1\/4, -4\/7, 3, -6 in descending order.\nAnswer: 38, 3, 1.33, 0, -1\/4, -4\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c**2 - 24*c + 16. Let p(m) = 3*m**2 + 25*m - 15. Let q(y) = -7*p(y) - 6*s(y). What is the second derivative of q(g) wrt g?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320, 665, 1020, 1391, 1784, 2205, 2660?\nAnswer: 3155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50241 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z. Let q(f) = 2 - 3*f + 7*f - 2*f - 8*f**2 + 0*f. Let l(v) = 9*v**2 - 3*v - 3. Let i(g) = 2*l(g) + 3*q(g). Give i(a(c)).\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = 0. Suppose s - 5 = -t. Solve -g + t = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 8. Calculate the greatest common divisor of 6 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2. Let z(v) be the third derivative of -2*v**2 - 1\/24*v**4 + 0*v**3 + 0*v + 0. Calculate i(z(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.681 and -0.041?\nAnswer: 0.068921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a - 41. What is v(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 1}. What is prob of picking 2 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/3045 and 11\/3741?\nAnswer: 130935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*((-50)\/(-27) - 2). Let b = 4272 + -269090\/63. Let f = k + b. What is the closest to f in -3, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 4*m - 3. Let g be r(5). Suppose 0 = 4*j - 12, -3*t - g*j + 6 = -4*j. Suppose 0 = 4*b, 3*s = t*b + 56 + 61. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14043101 (base 5) to base 11\nAnswer: -98919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 14*g**2 - 8*g - 77. Let t be f(13). Let u(z) = -2*z - 24. Determine u(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2937545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19327 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-28) + 2\/(-7). Suppose 13 - 23 = -5*g. Let 1\/4*z**g + f*z + 0 = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 0.17 (c) 3\/4 (d) -2\/7 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**3 + 2*y**2 + 5. Let m be o(3). Suppose -4*q + m = q. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -12*r - 5 + 2 + 5*r. Let v(k) = k. Determine v(w(g)).\nAnswer: -7*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283956681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-692)\/(-76) + (-6)\/57. Suppose 3*f + 10*j - 3654 = d*j, 0 = -f + 3*j + 1208. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2696.8 and 26588.\nAnswer: 23891.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, o: 6}. Give prob of sequence or.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10720 and 49580.\nAnswer: 396640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14117846 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -144904 times -233\nAnswer: 33762632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 655177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22396, 44828, 67300, 89812, 112364, 134956?\n\"Answer: 20*v**2 + 22372*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 1211737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0501998 rounded to 3 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 + 5*i**2 - 5*i**2 + (0 + 2*i + 0)*(0*i + 2*i + 0*i) + (-i**2 + 2*i**2 + 0*i**2)*(7 - 3 - 3) + 0*i + 0*i + 2*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 3)*-2*4.\nAnswer: -96*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1759 and 6.\nAnswer: -1753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**5 + 11*k**4 + 62*k**2 - 86*k**2 - 21*k**4 + 10*k**4 - 125*k wrt k.\nAnswer: -40*k**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 458\/12 - (-889)\/(-762)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*l + 312023 = 315998 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20664 and 84376278.\nAnswer: 337505112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(0 - -1) - 2. What is the nearest to 1\/2 in r, -0.3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.8643.\nAnswer: -0.8643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 7*r = 12. Calculate the lowest common multiple of 28 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32321*y**2 - 41502.\nAnswer: 64642*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-15 + 10 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-558)\/(-126) - 2\/(-28)*-6. What is the second derivative of 2*k**t - 13*k**4 + 26*k - 3*k**4 wrt k?\nAnswer: -168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -3 (c) 1\/4 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**3 + 7*u**2 - 5*u - 25. Let a be k(-8). Suppose 4*n - a = 13. What are the prime factors of n?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1076.3 + 1134. Round l to 0 decimal places.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59.079 + -0.079. Let s = i - 48. Which is the biggest value? (a) s (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 + t**3 + 1 - 128*t**2 - 3 + 121*t**2 to i*t + r*t**2 + k*t**3 + b + f*t**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*m - 39 = 0, -3*m + 24 = -15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 7560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21\/4? (a) 2\/3 (b) -63269\/9 (c) 2\/13 (d) 1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/3 + 53*j\/3 - 210 = 0. Calculate j.\nAnswer: -63, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5860, -11600, -17340?\n\"Answer: -5740*g - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o + 32. Let r be p(8). Suppose r*t - 7*t + t = 0. Which is the closest to t? (a) 0.1 (b) 2\/11 (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 1 - 2*l**2 + 1\/4*l**4 - 5\/3*l**3 + 8*l. Calculate the smallest common multiple of h(6) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 e when three letters picked without replacement from kuuhuhqhkuddkkeeqhu.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -2*j - j. Let r = 459 + -432. Suppose 32*x - 4*l = r*x - 79, l - 61 = 4*x. Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/7 + 18*l**2\/7 + 104*l\/7 = 0 for l.\nAnswer: -4, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3. Let g be 35 + -268 - (-1 + 4\/2). Let n(m) = -42*m**3. What is g*h(s) - 6*n(s)?\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, 29, 44, 65, 92?\n\"Answer: 3*c**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4033.243 - 4031. What is i rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 - 83. What is the remainder when 17 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 267163b?\nAnswer: 2671643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 7. Let r be y(9). Let g(x) = x - r + 6 + 6*x**2 - 5 + 2*x**2. Let d be g(1). What is the greatest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/9 - 363529*f**2\/9 - 11013201925*f\/3 - 25695491983.\nAnswer: -(f + 7)*(f + 181761)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7)*2*-4)**2 - sqrt(7)) + 2*sqrt(112) - (-4 + -2*sqrt(7) + -5)) + sqrt(28) + 0 + 2 + 5 + -1*sqrt(252).\nAnswer: 5*sqrt(7) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**5\/3 - 5*q**2. Let u(a) = 1 - 4 + 3 - a**2. Calculate u(c(s)).\nAnswer: -400*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 379*u**3 - 5*u**2 + 71. Let q(d) = 190*d**3 - 3*d**2 + 41. Calculate 3*c(w) - 5*q(w).\nAnswer: 187*w**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3701, -3675, -3649, -3623, -3597?\nAnswer: -3571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, -1, -87, -251, -517, -909?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4081642994 and 0.1269.\nAnswer: 4081642994.1269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5054, -6731, -8368, -9959, -11498, -12979?\nAnswer: -14396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 2*v**3 - 5*v + 2*v**3 + (3*v + 0 + 0)*(-6*v**2 + 17*v**2 + 23*v**2).\nAnswer: 105*v**3 - 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 f, 1 y, and 1 c when four letters picked without replacement from myfmmsctssmfffs?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785496214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54326904 to the nearest integer?\nAnswer: 7371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**4 + 440*z**3 + 2*z + 1800 wrt z.\nAnswer: -24*z**2 + 2640*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 + 2. Calculate g(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503134935?\nAnswer: 3, 5, 967, 34687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24667703?\nAnswer: 24667703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-4)*13\/3. Let q(f) = -4*f + l*f**2 + 7 + 3*f - 3 - f**3 + 8. Let v be q(13). Which is bigger: v or -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 681886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -829719, -1659443, -2489179, -3318933, -4148711, -4978519?\nAnswer: -5808363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, -3\/10, -0.4 in descending order.\nAnswer: 1, -3\/10, -0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/93564676 and 87\/1957420.\nAnswer: 467823380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6663446 - -313?\nAnswer: -6663133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.46 + 0.46. Let m = 43 + -75. Let r = -33 - m. What is the nearest to r in o, 0.5, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7146659 to the nearest integer?\nAnswer: 2673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -13, -2, 2, 7.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1165 = 5*p, 5*p + 2 - 7 = 0. What is the remainder when m is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*y - 1, -y + 59716*x + 14 = 59712*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-18 - -24)) + (-3 - 2) + 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (118404\/330)\/(-69)*45\/(-6)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - x + 94, 2*t + x = -61 + 5. Let s be (-2)\/(-5) - 48\/t. Suppose -15 = s*j - 55. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**2 + w + 2. Let r = 471 - 471. Let h be z(r). Let q = -6 + 10. Which is the closest to 2\/5? (a) 3\/2 (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-s**2 - 2*s**2 + s**2)*(-8*s**2 - 12*s**2 - 4*s**2).\nAnswer: -96*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 8*q**2 - 224*q - 832. What is a(13)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*q - 5533 = 34893 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-100))\/9*(-115)\/(-92).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m**(1\/5))**38 assuming m is positive.\nAnswer: m**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + (7 + -1 - (32 - (-5 - -23))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -241\/14 - -606\/35. Let h(l) be the second derivative of 3\/20*l**5 - 1\/4*l**4 + 0 + l + p*l**6 + 0*l**2 + 0*l**3 - 1\/14*l**7. Solve h(n) = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 768285744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + 0.42. Let p = o - 0.46. What is the nearest to 1 in p, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 0*v + 2*v + (0*v + 0*v + 2*v)*(-4 + 6 + 0) + 20*v - 47*v + 26*v - 28 + 18*v - 7*v - 10*v + 117 in the form x + i*v and give x.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -15*h**2 + 137*h - 144. Determine d(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 83*g = -50*g + 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1 = -4*l. Let o = -447 + 447.04. Which is the closest to l? (a) 0.2 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -481 + 721. Calculate the greatest common factor of 320 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 + 13*g**2 - 4*g + 13. Let h(t) = -t**3 + 7*t**2 - 2*t + 7. Let d(u) = -7*h(u) + 4*s(u). Let m be d(2). Solve 0 = -5*b + 13 - m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59.14 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -213, -816, -1813, -3198, -4965, -7108, -9621?\n\"Answer: t**3 - 203*t**2 - t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*q**3 + 2 - 5 + 3 + 3*q**2 wrt q?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.90000068 - 0.9. What is j rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 6*g**2 - 29 + 55 + 221*g**2 as b*g**2 + q*g + f and give b.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.28 - 0. Let o = a + -0.293. What is o rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2030 (base 4) to base 7.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20129 = 2*m + h, 335*m = 340*m - 3*h - 50317. List the prime factors of m.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -10*m + 5. Let p be (60\/14)\/((-468)\/189). Let y = p - -997\/546. Do y and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*c + 103*c + 3405 = 0 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56267, 56264, 56259, 56252, 56243, 56232, 56219?\nAnswer: 56204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 4:12 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 233*s + 274. Give n(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.792 rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*u = 3*u - 67, -4*u = -3*h + 112. Suppose h = 5*n - 3*n. Suppose 24 - 4 = 5*i. Solve 5 = -4*s + j, -2*s - s - i*j = n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 - 60. Let o = -52 + u. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 22. Solve 0 = -n - g*i + 5, -2*i + 25 = 5*n - 7*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-8) - (-6 + 2). Suppose 2*c = 7*c - 30. Factor -c + 1 + 0 + 3 - d*m**2 - 9*m.\nAnswer: -(m + 2)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2531 - -2532. What is the nearest to d in -11.7, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/4 + 10*b**3 + 149*b**2\/4 + 91*b\/2 + 18.\nAnswer: (b + 1)**2*(b + 2)*(b + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 r, and 1 y when three letters picked without replacement from {y: 3, f: 2, r: 1, t: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3393 (base 14) to base 5.\nAnswer: 241244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-three fifths of a meter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from {r: 2, b: 2, f: 1, g: 8}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 14) in base 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349 - 173 = -6*v + 15*v. Which is the nearest to 0.6? (a) -2 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i + 17*i + 21*i - 2*i**2.\nAnswer: -2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -40, 497 in ascending order.\nAnswer: -40, -5, 0, 497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6480*f**3 + 20399*f**3 - 6828*f**3 - 6741*f**3.\nAnswer: 350*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -22*j - 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -10*w + 1267. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 864 + -861. Let v be (-2)\/26*2*(0 + -1). Which is the second biggest value? (a) p (b) v (c) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3778 + 5778. Let i be (6193 + -3)\/((-2)\/y). Round i to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5 + 9. Suppose -p - 9 = -j*p. Let x be p\/24 - 87\/(-8). Solve -3 = 2*d - x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6 - 0) + 8\/12. Suppose -5*v + l = -0. Let 4\/3*u - 6*u**3 - 10\/3*u**2 + 14\/3*u**5 + 10\/3*u**4 + v = 0. What is u?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19507448?\nAnswer: 2, 277, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6070.3803 rounded to the nearest ten?\nAnswer: 6070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230433384 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + -2*sqrt(180) + 0 + (sqrt(180) - (-2 + 1*sqrt(180))).\nAnswer: -12*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640) - (sqrt(640) + (sqrt(640) - 1*sqrt(640))*-3))\/(-4*sqrt(35)\/sqrt(448)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32192 - 16095 + 3*m**2 - 16097.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(243) - -1*sqrt(243))*-5)\/(-5*(1*4*sqrt(200) + sqrt(200))).\nAnswer: sqrt(7)\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 - 87. Suppose c = -2*t + 78, -3*c + 5 = 5*t - 230. Suppose 3*d - c = n. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*d**2\/7 - 646*d\/7 - 480\/7.\nAnswer: -2*(d + 80)*(4*d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 6556*o**5\/5 - 871*o + 5172. What is the first derivative of j(n) wrt n?\nAnswer: 26224*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 209820002 = -3*p. Suppose 0 = b - 4*n + 5599996, 5*b + p = -2*n + 1974284. What is b rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p + 13. Let z be d(3). Let k be (-2 + z\/((-60)\/16))*-87. Suppose v = -3*g + k, -3*v - 5 = 10. Calculate the remainder when 39 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, 3, 2, 14 in increasing order.\nAnswer: -277, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/4 + 49971*r\/2 + 49968.\nAnswer: 3*(r + 2)*(r + 33312)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 36*k**5 - 118*k**4 - 2142*k**3 + 7832*k**2 - 7848*k + 2240 = 0.\nAnswer: -8, 1\/2, 1, 2, 70\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -4, 8 in ascending order.\nAnswer: -4, 8, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289183 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 11*b - 5 - 17*b - 3*b. Let f be j(-8). Differentiate -22*r**2 - 5*r**2 + 85 - f*r**2 - 112 wrt r.\nAnswer: -60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.3 - 37. Let g be (-3)\/6 - (-2 + (-20)\/(-8)). What is the third biggest value in t, -0.3, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -46.\nAnswer: -46, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*k + 3*n - 33 = 275*k, 0 = 2*k + 5*n + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 12*p**3 - p**2 + p - 1. Let v(d) = -d + 7. Let l be v(6). List the prime factors of x(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 37*c - 178. Determine q(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**3\/3 + l**2\/2 + 8*l - 3. Let q be o(3). Factor -4\/3*j**q + 1 + 11\/3*j.\nAnswer: -(j - 3)*(4*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*y + 1 = -0*x, -8 = -2*y. Suppose -12 = -7*d + x*d. Suppose 5*q - 10 = 3*q. Solve -c + 4*r - 8 = -1, -d*r + 1 = -q*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z + 2. Let f = 43 - 46. Give y(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*i = -4, -5*g + 3*i + 17 = 4. Suppose 7004 = 2*f - 2*o, -g*f + 5*f - 2*o - 10510 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b1b + 197?\nAnswer: 20b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -236.94 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 149 and -8?\nAnswer: -1192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q - 3 - 861*q**3 - q + 110*q**2 + 441*q**3 + 2*q wrt q.\nAnswer: -2520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*h - 4, 2 = -0*h + 2*h - 2*v. Let j be 3\/(h*14)*4. Let t = 146 + -151. Put 3\/2, t, j in increasing order.\nAnswer: t, j, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3885 divided by 1\nAnswer: 3885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + ((-5*(sqrt(17) + 1) + -1)**2 - ((sqrt(68))**2*-2 + 1)))*4.\nAnswer: 240*sqrt(17) + 2391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -804 - -1540. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 3, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 543, -880, -2303, -3726, -5149?\nAnswer: -6572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.38 plus -1.3?\nAnswer: 11.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 404\/6*21 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1769 in 2\/3, 1\/5, 2\/17, 1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 7:06 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -998\/9 + 111. Let r = -90623 + 362483\/4. Which is the second biggest value? (a) -2 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 1516 + -1498. Solve -9*b + j*b = 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)**(-41))**(-29)*(y\/y**7*y*y**2)\/(y**(1\/3))**(-3) assuming y is positive.\nAnswer: y**2376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 656908, 656905, 656902, 656899, 656896?\nAnswer: 656893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325818 is divided by 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:13 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 3*n**2 + 2*n - 3. Let f be o(3). Let i = -83 + 83.1. Let t be (-2)\/(-9) + 94\/(-18). What is the nearest to 2 in i, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -188 + b**2 + 188. Let g(k) = -46*k**2. Give g(y(a)).\nAnswer: -46*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j - j + 0*j. Let a = 34 - 29. Let d(g) = 12*g**2 + a*g**2 - 8*g**2. What is d(m(k))?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -5, -0.8, 1331?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -282 or -283?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a factor of 99931939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/736372 and -11\/8092.\nAnswer: 736372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4243, 5, 19, -116 in descending order.\nAnswer: 4243, 19, 5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 880 * -5.\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (-70 + 41 - -19)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 835*l - 24 = 832*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = k + 5*v, 0 = 2*k + k + 2*v. Let l be 1 + -1 - (-4 - k). Is 18 a factor of 179 + l + 4\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -789.8873937 rounded to the nearest 10?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 68, 67, 62, 53, 40, 23?\n\"Answer: -2*n**2 + 5*n + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*l + 12, -2*l - 4*r = -r - 6. Solve 4*m = -i + 5, -l*m + 2*m = 4*i - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/50831742 and 31\/22?\nAnswer: 559149162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**7)**48\/(a**3*((a*a*(a*a**(-3\/13)*a)\/a*a*a*a)\/a)\/a) assuming a is positive.\nAnswer: a**(-3832\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-8)\/r*r*r**7)**(2\/17))**(-42) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 186? (a) -2\/5 (b) 1\/7 (c) 3 (d) 5 (e) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 18 = 2*f. Solve 27*y - 6*y**2 - 66*y**3 - 81 + 63*y**3 + 15*y**f = 0 for y.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 45\/4 - 5*w**3 + 165\/4*w**2 = 0. What is w?\nAnswer: -1, 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -339710?\nAnswer: 339713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, 57, 1\/4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1. Let q be 3 - 1*(v + -1). Find the first derivative of -1 + 3*r**2 - 5*r + q*r - 2 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1784176821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*v - 6, 4*v + 11 = 3*b. Let t be 1\/5 - (12 - 590\/50). Solve 3*l + 6 = t, 3*c = -4*l + 3 + b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/18, 4, 1.3?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 346 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02675 or -2589?\nAnswer: -2589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b**2 + 0*b**2 + 5*b**2 + 2*b**2 to q + u*b**2 + s*b and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 103*c**2 + 45*c - 5673. Calculate j(-102).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - 3*-2*sqrt(200))**2 + 5*(sqrt(200) + 3) + 2 + 2*((sqrt(200) - (-3 + -3 + sqrt(200))) + sqrt(200)).\nAnswer: 70*sqrt(2) + 9829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 23716667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/14)\/(-1)*1\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2980 = -2*x + 5*m + 2967, 5*m = 25. Solve 3*i = 5*r - 12, x*r = 3*r + i + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 15148.\nAnswer: -1\/3787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 3e7a?\nAnswer: 3e7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11703480 - -0.2?\nAnswer: 11703480.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 12*u + 3*u + 3*u + 7*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5850.226ml in litres?\nAnswer: 5.850226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1469\/192 + 33\/64. What is the common denominator of -97\/36 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 19 - -1 - -31.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 93396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 126?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 134 - 136. Let a be (-3)\/(6\/(-10)) - 1. Find the second derivative of -5*g - 6*g**2 + a*g**2 + 3*g**z - 4*g**2 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 2*z + 2. Let q be c(-5). Let x = q + -34. Suppose -x*h = -3*d + 405, 3*d + 0*h - 2*h = 407. List the prime factors of d.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123205022 (base 6) in base 8?\nAnswer: -11107706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i + 1. Let c(d) = -2 + 17*d - 3 + 4 + 5. Let h(w) = 3*c(w) - 8*j(w). Let p(r) = -2*r - 3. What is -3*h(z) - 4*p(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s*s\/(s\/(s*s**(-3)))*s*s*s)\/s)\/(s\/(s*s**(-10)*s)))**24*((s**(1\/3))**(12\/11))**(-3) assuming s is positive.\nAnswer: s**(-1596\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885825.\nAnswer: 3, 5, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20030322 (base 6) to base 8.\nAnswer: -2115252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 (base 15) in base 7?\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 20 = 2*w. Solve h - 13 = -4*t - 2*h, 5*t - w*h - 22 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-40)\/(-140))\/(8\/(-21)). Which is the third smallest value? (a) n (b) -0.076 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -51. Let v(t) be the first derivative of -t**2 - 2*t + 3. Let n(a) = 3*a + 3. Determine r*v(p) - 4*n(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 9 = -0*n - 2*c, 21 = -5*n + 4*c. Let l = n + 3. Suppose 0 = 3*j - 13 - l. Solve 4*y = -7 - j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 1\/15, 5, -109 in decreasing order.\nAnswer: 5, 4, 1\/15, -3, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15846 - -15928. Solve y*r + 88 = 38*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0 (c) -1 (d) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 6 = k. Let z = -6 + k. Suppose 2*f - 5 + 1 = z. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 548, 1102, 1656, 2210, 2764, 3318?\nAnswer: 3872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, x: 3, c: 3, w: 2}. Give prob of sequence pw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from pzppeptwwejtwwwtee?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/3 - 48960*y**2 - 16757548*y\/3 + 11367536 = 0. What is y?\nAnswer: -116, 2, 146994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 76979.\nAnswer: 5\/76979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111012 (base 3) in base 2?\nAnswer: 10000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 9*u = -6. Let h(a) = 3*a - 4. Let s(t) = -t - 3. Let j be s(-6). Let f be h(j). Solve -z = -u*z - f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 7*k + 9. Let y be l(4). Let c(w) be the second derivative of w**4\/12 + w**2\/2 + 3*w. Determine c(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.871 + -0.871. What is the biggest value in -3\/107, c, -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/3*u**2 + 0 + 0*u + 9*u**4 + 193\/3*u**3.\nAnswer: u**2*(u + 7)*(27*u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -2 + 5*v**4 + 6 - 4*v**4 + 16*v. Let l(b) = b**3 + 5. What is -16*l(x) + 5*o(x)?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6022014 + 13?\nAnswer: -6022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((82203\/(-106))\/47)\/(4\/(16\/(-6)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f**2 - 2*f + 1. Let o be w(1). Let l = o + 10. Solve -a = -l*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 5\/12*j**3 + 25\/4*j - 14 - 15\/4*j**2. What is m in v(m) = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(2\/3 + -1). Suppose 3*j + 16 = -2*s, s = 2*s - h*j - 1. Let y(o) = o + 7. Let p be y(s). What is the greatest common factor of 8 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -36\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21574365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 8 + 10*m + 3. Let c be i(4). Let x = c - -10. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8 + 4.5. What is the smallest value in 0.3, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + 20?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w - 1827 = -1763 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 4*g**2 - g + 2. Let w be b(-2). Suppose -w*l - 3*a = a - 484, -3*a = l - 131. Suppose -34*p + 30*p = -l. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 4*d + 3*d)*(-4*d - 6*d - 7*d)*(-3*d + 3*d - 2*d**2).\nAnswer: -68*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*c - 19 + 125, -2*c - 176 = -4*d. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let p be w(0). Let s = p + 25. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13*m - 1. Let w be g(-1). Let k be -4 + (2 + 2 - -23). Let d = k - w. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -667*f**3 - 1088*f**3 - 66 + 6 + 534*f**2 - 534*f**2 + 3*f wrt f?\nAnswer: -10530*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543205985 is divided by 526.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -228024686 take away 5092.3?\nAnswer: -228029778.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 21390*k**3 - 46*k**2 + 92. Let y(q) = 3290*q**3 - 7*q**2 + 14. What is -7*o(p) + 46*y(p)?\nAnswer: 1610*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20790 and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -805613.16 to the nearest 100.\nAnswer: -805600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 9*z**2 - 6*z - 7. Let m be b(8). Let d(h) = -m*h + 6*h - 2*h. Let o(a) = 2*a**2. What is d(o(l))?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*v = -249, 59*b - 249 = 56*b - 3*v. Calculate the remainder when 494 is divided by b.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(176) - (sqrt(176) + (sqrt(176) - (sqrt(176) + (sqrt(176) + -1)*-6))))**2 - (((sqrt(110) - sqrt(110)*2)\/sqrt(10) - sqrt(11)*3*6) + 3).\nAnswer: -621*sqrt(11) + 11361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 7:36 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-50) - (-8)\/5. Let s be f + 3\/((-6)\/(-4)). Let w(n) = -2*n - 14*n**2 + 3 + 6*n**2 - s. Determine w(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108 - 2*d - 14*d**2 + 15*d**2 - 67 to the form t*d**2 + f + z*d and give f.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32 - 1 - (-11 + 7). Let n be 3\/(-3*(-65)\/a). Let c = -527\/1027 + n. Is c smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*t - 27 = 0, 0 = 2*b + 2*t + t + 1. What is the smallest common multiple of b and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211118 to the power of 1\/2, to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 8.8 and -249265 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - z + (-2 - 2 + 3)*(-2*z + 0*z + 4*z) + (3 - 1 + 9)*(1 + 3*z - 1).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s + 1. Let j be 5 + -3 + 6\/3. Suppose z - 5*z = -4*n - 12, 0 = j*z - n - 9. Is w(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8296002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*f - 31 - 44*f + 49 + 19 + 52.\nAnswer: -2*f + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -2 (b) 0.59 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 10*s - 2*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20112.52 rounded to the nearest 100?\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - 30\/(3 + -5). Let b(u) = 16*u - 39*u + j*u + 11*u. Let m(a) = 51*a**2. Calculate m(b(g)).\nAnswer: 204*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**1))\/o)**(-2\/11)\/(o**(2\/81)*(o*o**(-13\/5))\/o) assuming o is positive.\nAnswer: o**(1043\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (66\/(-495))\/(25\/(-20)*(-8)\/6). What is the third smallest value in 0, u, 11\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 37*y + 557. Let j be t(13). Calculate the greatest common divisor of 12 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 65*y + 8861 = 68*y, -4*m = 4*y - 35476. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31\/2 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5774704 * -4\nAnswer: 2.3098816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 98. Let l be m(0). Let y be (21\/l)\/(3\/(-4)). Which is the biggest value? (a) 0.3 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2) - (1*sqrt(2))**2)*5 + (-2*sqrt(24))\/sqrt(12) + ((sqrt(2) + 1 + sqrt(2))*-3 - (1*sqrt(20))\/sqrt(10)).\nAnswer: -9 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) - 104612\/(-504). Let f = h + -1430\/7. What is the common denominator of ((-3)\/44)\/(21\/(-518)) and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-11))\/((-2)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10 + 136*z**3 + 141*z**4 + 50*z**4 + 23*z**4 - 134*z**3 - 12*z wrt z.\nAnswer: 2568*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0, 36, -1.3, 0.1, 25\/2 in ascending order.\nAnswer: -1.3, 0, 0.1, 1\/2, 25\/2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1923587*c**4 + 7061890 wrt c?\nAnswer: -7694348*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 19 = -b, 2*c + 0*c + b = 9. Let w = 3.09 + -0.09. What is the third biggest value in w, 4, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -6*2\/(-4). Find the third derivative of -2*n**2 + n**p + 149*n - 149*n wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950712?\nAnswer: 2, 3, 7, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 148673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**4\/8 + 43*y**3\/6 + 12*y**2. Let h(m) = m**2. Give h(u(z)).\nAnswer: 9*z**2 - 258*z + 1849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2622*h - 2583*h + 3143*h. Let s(k) = 2*k**2. Determine x(s(l)).\nAnswer: -4124*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 32323105.59 rounded to the nearest 10000?\nAnswer: 32320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 865*p**2 + 1030*p + 1484. Differentiate m(c) wrt c.\nAnswer: 1730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 0*r - 45*r**2 - 99*r**2.\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1078) + sqrt(1078) + -2*sqrt(1078) + sqrt(1078))\/(sqrt(4)\/sqrt(2)*-6))**2 - -6*(1 + sqrt(1331) + 0).\nAnswer: 755\/36 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009909159 rounded to five dps?\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 5, m: 3}. What is prob of sequence gg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*y = -75*y - 2*m - 6, 0 = -3*y - 3*m - 21 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3 - (-70)\/(-6) - 452670\/(-37920)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -745*c*h**2 - 5217*h**2 wrt c.\nAnswer: -745*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -66. Let d = j - 30. Suppose u - 5 - 12 = -c, 5*c + d = 0. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/4 + 88729*q\/4 - 399321\/2 = 0. What is q?\nAnswer: -88738, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsisdzzezzdbeizzid. Give prob of sequence ddi.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192 - 180. Suppose -j + 0*j + 108 = 0. Calculate the greatest common factor of i and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*p**3 + 21*p**2 - 351566*p - 208715336 wrt p?\nAnswer: -87*p**2 + 42*p - 351566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/11, -51\/2, 2\/11, 0.3 in decreasing order.\nAnswer: 0.3, 2\/11, -15\/11, -51\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 21*g. Let v(u) = -2*u. Let z(o) = -2*j(o) - 22*v(o). Let f(c) = 46*c**2. Give f(z(n)).\nAnswer: 184*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -37, -3873, 0.5, 62?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p - 2*p + 1 - 1 - 2*p - 3*p + 3*p - p + (p + 2 - 2)*(-1 + 4 - 1) + 3*p - 4*p - 5 - 3*p + (1 + 0 - 3)*(-3*p + 6*p + 0*p))*(-4*p + 8*p - 6*p).\nAnswer: 24*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 338 and 0.06235997.\nAnswer: 338.06235997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18873540251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 94 = 24. Calculate the remainder when 83 is divided by (7 - -2)\/(6\/l).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 2*s + 70 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.4 + -18. Let b = u - -3. Let o = -909.2 + 909. What is the third biggest value in b, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 6*g + 4*g - 134514, -5*r = 4*g - 336276. Round r to the nearest 100.\nAnswer: 67300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t**3 - t)*(0*t**2 - 3*t**2 + t**2) - 152*t**5 + 57*t + 64*t + 155*t**5.\nAnswer: 5*t**5 + 121*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3379*b**4 - b**3 - 8*b + 15397058 wrt b.\nAnswer: -13516*b**3 - 3*b**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3\/4*k**2 - 3 - 3*k = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1444.\nAnswer: 288.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25295 + 37480. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9948 or 992?\nAnswer: 9948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12422 - -12423. Let s be (-1)\/((-2)\/(-4)*-2). Calculate the highest common factor of s and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/7 + 1695760*r**2\/7 - 20348904*r\/7 + 8720928 = 0.\nAnswer: 6, 847868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**8\/s**5*(((s**(-5\/2)\/s)\/s)\/s)\/(s\/(s\/s**0*s)) assuming s is positive.\nAnswer: s**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/3 + 48\/(9504\/(-858))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 12 + 0*k + 1\/18*k**3 - 1\/12*k**2. Factor z(h).\nAnswer: h*(h - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 + 12*z - 4. Let o be s(-8). What is the highest common divisor of o and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -14. Let x = -4 + u. Solve x*v = 2*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -11. Let h(r) = r**2 - 7*r - 13. Let v(a) = a**2 - 6*a - 12. Let c(z) = -5*h(z) + 6*v(z). Is c(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**4 - 8*t**3 - 162137*t**2 - 6433669*t?\nAnswer: -24*t**2 - 48*t - 324274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 233323.8l in millilitres?\nAnswer: 233323800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 4*u - 3. Let o be l(3). Let y(g) = 1 + o*g + 4 + g. What is the units digit of y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 5. Let k be d(-5). Let g(h) = -4*h**2 - 54*h - 121. Let j be g(-3). Solve 0*f + j = -k*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 3*y. Let o be d(-2). Let f = -11 - -13. Let x(c) = c**2 - 5*c - 9. Let p be x(7). Sort f, p, -1, o in descending order.\nAnswer: o, p, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 7)*2\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27.3 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 1. Let x = -5.4 + 3. Let i = -2.8 - x. Put i, 3, r in ascending order.\nAnswer: r, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 141.019.\nAnswer: 140.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 20, 2*v - 5 + 19 = -3*s. Sort 7, s, 2 in descending order.\nAnswer: 7, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*t - 2, 5*t - 3 = 2*h + 11. Suppose -15 = 3*x, -5*x - 35 = 3*p + 2. What is the remainder when 80 is divided by 26 + (5\/(-10))\/(t\/p)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 108\/(-15) - (-2)\/10. Let w = 5 - 3. Let v = w - q. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43466, 87081, 130986, 175325, 220242?\nAnswer: 265881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cabtscbcseb. What is prob of picking 1 b, 1 t, 1 s, and 1 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/97 in -2, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5 + 15447*g**4 - 418971*g**3 + 1474953*g**2 - 1071432*g = 0. Calculate g.\nAnswer: -5176, 0, 1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99) + -4 + sqrt(99))**2 + 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -202 - -640. Let f = h + -434. What is the closest to 0 in f, -3\/7, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 2. Let o(j) = 14*j - 4. Let d be o(2). Suppose -6*g + 6 = d. Sort q, g, 7 in descending order.\nAnswer: 7, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13 + 13)\/(2\/(-2)). Let x(l) be the second derivative of -2*l - 3\/20*l**5 + 0*l**3 + l**2 + 0 + v*l**4. What is the derivative of x(s) wrt s?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(102)*-2*-5)\/(sqrt(594)\/sqrt(275)))**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {w: 1, l: 3, y: 8, e: 5, q: 3}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -4. Suppose i - 5*s = 5, 2*i + 2*s + 2 = i. Let a be i\/1 - (p + 2). Solve a*r = 5*r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/6)\/(-1) + (-214)\/(-321)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634060068 + 634060068 + 14*d.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2593, -5189, -7789, -10393?\n\"Answer: -2*q**2 - 2590*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -29*o**2 + 28*o + 477. Let r(h) = 9*h**2 - 9*h - 159. Let p(y) = 4*l(y) + 13*r(y). What is the first derivative of p(q) wrt q?\nAnswer: 2*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + sqrt(80) + -3 + 0)**2.\nAnswer: -48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 3*r + 2. Let a be s(-3). Let i = a - 0. Let z(n) = -n**3 + n**2 + 3*n - 1. Calculate the lowest common multiple of z(2) and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1304 and 136.5.\nAnswer: 1440.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 4) to base 3.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1041*o**3 + 176*o**2 - 48*o**2 - 79*o**2 - 49*o**2 + 1207*o**3.\nAnswer: 2248*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.5688281um?\nAnswer: 0.0000000005688281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27774*a**3 - 27784*a**3 + 55569*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*r - 4*h - 6, -r + 5*h = 10. Suppose -v - v = 5*u + 340, v = -r*u - 160. Let q = -74 - v. Calculate the greatest common factor of q and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001341 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**6\/2 - 2*n**4 - 17*n**3 - 71. Find the third derivative of m(w) wrt w.\nAnswer: 180*w**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 526 = -3*w. Let d(x) = x**3 - 14*x**2 + 22*x - 4. Let j be d(10). Let q = w - j. Round q to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6314 and 176?\nAnswer: 50512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -61*a**2. Let y(r) = 5*r**2. Calculate y(f(m)).\nAnswer: 18605*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*5*108\/45. Let f be ((-15)\/9)\/((-4)\/s). Let y be 0 + 0 + (-20)\/(-1). What is the greatest common divisor of f and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 23*t**2 + 50*t + 29. Let w be j(-25). Calculate the greatest common divisor of w and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d**2 - 4*d - 1. Let q(w) = 5*w**2 - 2*w - 1. Determine -4*k(m) + 7*q(m).\nAnswer: -m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -604.8 + 605. Let r = 26\/11 + -149\/77. Which is the nearest to t? (a) r (b) 0.1 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moyf when four letters picked without replacement from ymomkkfymfmmkmymkk?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by -4\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 160 + -156. Find s, given that -15*s**3 + 2*s**4 + 12*s**t - 12*s**2 - 17*s**4 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/54 and 61\/18456.\nAnswer: 166104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 9:19 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 + 6058139*l**4 + 27419*l**2 + 20*l wrt l?\nAnswer: -120*l**2 + 145395336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 777326 + 105080 = 0. Let v = 74488 + p. What is v rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83.1 - 83. Let h = -13.7 + -29.3. Which is greater: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 283*d**2 + 3*d - 116. Let v(n) = 566*n**2 + 5*n - 213. Let u(s) = -4*v(s) + 7*w(s). Find the first derivative of u(k) wrt k.\nAnswer: -566*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -75007*n - 74969. Determine d(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-8))\/(1830\/(-5025)*5\/8). Is j smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5\/9 + 5368*f**4\/9 - 77804*f**3\/3 + 3023056*f**2\/9 - 10670590*f\/9 + 875064 = 0.\nAnswer: -2727, 1, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 11, 8 in descending order.\nAnswer: 11, 8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(1539))**2.\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 11 = -39. Let k(m) = -2*m + 2*m + 8*m**2 - w*m**2. Let u(c) = -4*c**2. Give k(u(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - v**3 + (-2*v + 3 - 3)*(0*v**2 + 4*v**2 - 5*v**2) + (-5*v - v + 2*v)*(-3*v**2 + 0*v**2 + 2*v**2) - 2*v**3 - v**3 + 2*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -21 (c) 1376 (d) 1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 - 15)*10\/(-25). Let m(s) = -13*s**2 + 28*s**2 - 14*s**k. Let a(u) = 9*u. Let q(v) = -v. Let d(l) = a(l) - 2*q(l). Calculate d(m(o)).\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z + 1. Let i(r) = -1. Let m(j) = c(j) + 2*i(j). Let s(k) = k - 2. Let d be s(3). Suppose -2*n = 1 + d. Determine m(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 5. Let p = u - -23.4. Let k = p + -19.2. Which is the nearest to -3? (a) 0 (b) k (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b + 3*b - b. Let p(s) be the second derivative of -s**4\/6 - s. What is p(k(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -67*u - 1552. Determine v(-23).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -39*d**5\/20 + 31*d**4\/12 - 7*d + 2. Find the third derivative of l(b) wrt b.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 10*t**2\/21 + 11098*t\/21 - 740\/7 = 0.\nAnswer: -1110, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5085641401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 - -521. Let y = k - 633.0754. Round y to three dps.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s**2 - 6 + 6*s**2 - 3*s**2)*(6*s - 4*s - 3*s) as b + d*s**2 + q*s**3 + g*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1910533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2175\/14 + 8609\/56. What is the common denominator of t and 5\/767?\nAnswer: 6136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-5)\/(-10)) + 1. Suppose 5*r = q*r. Solve r = 3*f + 4 + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/13, -3, -264, 1 in ascending order.\nAnswer: -264, -3, 2\/13, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5460772 divided by 4\nAnswer: 1365193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1016*d + 3708*d + 6691*d + 3816*d)*(2*d**3 - 5 + 3 - 3*d**3) in the form j*d**4 + x*d**2 + k + s*d**3 + n*d and give n.\nAnswer: -26398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 1 = 2*g, -5 = -3*g - 13*v + 12*v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 74?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1314997*-0.13\nAnswer: 170949.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1673*a - 7089. Calculate x(4).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 - 309 = -4*n + 5*g, 2*g = 3*n - 363. List the prime factors of n.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/105)\/((-28)\/20).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101038 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s - 5. Let u(p) = 4*p + 6. Determine -6*u(a) - 7*y(a).\nAnswer: 11*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**2\/2 + d - 1. What is the units digit of g(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -185 + 310 - 191 - 11*l. Let w be k(-6). Solve w = 3*o + o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-324)\/(-7))\/4 + 3. Let j = -809\/56 + o. Sort j, -0.1, -1 in decreasing order.\nAnswer: j, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-1)\/(-1))\/3)\/(-1). Let q = 19\/6 - 23\/6. Let x = 2.5 - 2. What is the nearest to q in p, x, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.14 - 19.86. Let i = u + 24. Is 0.02 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1303*d = 1300*d - 5*z - 27, -13*d - 49 = -z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**6 + 142*z**5 + 2*z**4 - 7344*z**2 wrt z.\nAnswer: 360*z**3 + 8520*z**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5916 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 76.98?\nAnswer: 7.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2 + 70*x - 85. Calculate m(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 40\/12)*1. Let o = -34.09 - -0.09. Let y = o - -39. Sort 0.3, n, y in decreasing order.\nAnswer: y, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31685 - (7 - 42 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-72)*(13 + -4). Let w(o) be the second derivative of -21*o - 1\/42*o**4 - 4\/7*o**3 + 0 - 36\/7*o**d. Factor w(y).\nAnswer: -2*(y + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - i = 10, 4*i - 3*i = o - 2. Suppose -1 = -o*z - 65. Let u = z + 35. What is the remainder when u is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 71. Let x be 1\/f + (-57)\/(-110). Let q = -133\/1265 + x. Which is the smallest value? (a) -2\/3 (b) 3\/19 (c) 0.2 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a. Let z(h) = -h**3 - 6*h**2 - 5*h - 3. Let b be z(-5). Let p(s) = -11*s. Let v = -214 + 239. Suppose 0 = 3*d - 8*d - v. Give b*p(c) + d*r(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -91, -1 in ascending order.\nAnswer: -91, -84, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2653 + 1322 + 1285)*(-2*u + 2*u + 3*u)*(1 - 2 + 0).\nAnswer: 138*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*x - 5*c, 0*x + 3*c + 5 = 2*x. Let v(g) be the third derivative of -1\/6*g**3 + 0 - 1\/4*g**4 + 0*g - x*g**2. Calculate v(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 216 = -106*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2889135 is divided by 434.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 19 - ((-134 - -97) + 19)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w. Let t = 0 + w. Let j(d) = d**2 - d + 3. Let h be j(t). Solve 2*c = 3*m + 19, 3*m + h*c + 9 + 0 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/288 and 41\/15103434?\nAnswer: 724964832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t + 3. Let l(y) = y + 1. Give -c(p) + 4*l(p).\nAnswer: -7*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 141 + 20. Let y be (-3)\/1 + (q - (5 + 0)). Suppose -5*a + 79 + 45 = u, -y*a - 116 = -u. What are the prime factors of u?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677*a + 672*a + d + 58256 = 0, 5*a - 58232 = -3*d. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 245407\/26970 - -2\/2697. Find the common denominator of q and -133\/660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/70*(-21)\/(-18)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 9*u**2 - 9*u + 4. Let j be g(-8). Suppose -n = -0*n - j. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Let l(a) = 453885*a**2. Calculate q(l(c)).\nAnswer: -206011593225*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (19 - -52)*(-1 - 0). Let f = r - -42. Let x = 36 + f. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (40\/6)\/((-18)\/(-27)). Solve 4*y - 5*n = -c*n, -y - 2*n = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -833.\nAnswer: -833.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 - a + 4. Suppose 2*x = c - 3*c + 2, 2*c = -x. Let y be (-1)\/((-1)\/(c - -4)). Is v(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 2:15 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - a + 6 = 0, -3*x + a - 23 + 18 = 0. Sort -29, 1, x, 2.\nAnswer: -29, x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65\/144 + 113\/48. Find the common denominator of -41\/24 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8329 from -4.\nAnswer: -8333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6*r = -2*r + 24, 5*t + 5*r = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1373 = 2*g, 0*g - r - 3398 = -5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**5 - 76*d**4 + 68*d**3 + 76*d**2 - 72*d = 0.\nAnswer: -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0293, 1\/6, 1, -4, -5, 3 in decreasing order.\nAnswer: 3, 1, 1\/6, -0.0293, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -10117, 0, 3 in descending order.\nAnswer: 3, 0, -10117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 8576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:42 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r**2 - 431*r - 882. Calculate c(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 + -121. Suppose -2*g - 3*q = -l, 8*g - 15 = 5*g - 4*q. Which is the nearest to g? (a) -2\/9 (b) -0.03 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2aa37 (base 13) to base 16\nAnswer: 13bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -70*s - 13. Let u(y) = -38*y - 7. Let a(l) = 6*h(l) - 11*u(l). What is a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three fifths of a litre in millilitres?\nAnswer: 8600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 2*n - n. Suppose -14*b - 24 = -20*b. Suppose n = -z - w - 766, -b = 3*w + 2. Round z to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141 and 725727?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 254003751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -389.99801 - -390. Round j to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4348*s**2*u**2 - 2*s*u**2 + 2*s - 70*u**2 + 2 wrt s?\nAnswer: -8696*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-315)\/(-49) + -7 + (-67)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42824234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 36326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**4\/4 + k**3 + k**2 - 12. Let v be y(-2). Solve -2*l = 3*w + 16, v*l + 19 = -5*l + 3*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -259\/9 + 29. Let h(k) = k**3 + 15*k**2 + 20*k + 24. Let g be h(-12). Let m = g - 1083\/5. What is the closest to -0.1 in 0.06, x, m?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 11*v + 82. Let s be x(5). Let r(a) = 4*a - 18. Give r(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-168)*2\/((-56)\/882)*-1?\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -656635 - -137?\nAnswer: -656476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2563 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-29)*m**25 assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2 + 5*i + 10. Is g(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143\/428 or -8?\nAnswer: -143\/428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:51 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h + 14. Let p(y) = -3*y + 5. Let i(v) = -5*d(v) + 14*p(v). Let k(a) = 5*a**2. What is i(k(j))?\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1092386 * -34.\nAnswer: 37141124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 25 - (14 + 28 + -19 - -93).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2552 tonnes in milligrams?\nAnswer: 6255200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*s + 503*s - s**3 - 223*s.\nAnswer: -s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 258 divided by -6\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 - 0.9. Which is the closest to h? (a) -3 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/3840481?\nAnswer: -5\/3840481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43044090, -86088177, -129132264?\n\"Answer: -43044087*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 3\/12 - (-465)\/12.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -137. Let z = m - 24. Let i be 4\/22 - 6\/z. Solve -5*s + a - 30 = 2*a, i = -5*s + 3*a - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + j**2 - 9*j - 18. Let t be z(-2). Let c(v) = -v**2 - 6*v - 4. What is c(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1622 = 2*h, -15*h = -3*a - 16*h + 1621. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -46 - 36. Suppose -b + 0*b = 2*l - 7, -4*b + t = -5*l. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4460 + 1?\nAnswer: 4461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16511597?\nAnswer: 643, 25679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 347.49 and 1.8?\nAnswer: 625.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*a = 5*k - 71, -a - 125 = -5*k. Suppose 3*m + 0*m - k = 0. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480083293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 0*(-2)\/8 + 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 226b77 + -4?\nAnswer: 226b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 7) to base 10.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3704)\/16668 + 1 + 118\/(-117)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46733 - 17604.\nAnswer: 29129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 95*q - 1246681. Determine w(629).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3737485 is divided by 260?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4 + 7*t**3 + 14*t**2 + 3*t = 0.\nAnswer: -1, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 2:10 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 5*b - 7. Let y be 4\/(-8)*(-52)\/2. Let i = 7 - y. What is q(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202 + 205. Let t(x) be the first derivative of -9 + 0*x + 0*x**2 - 2\/3*x**i. Let v(l) = 4*l**2. Give t(v(a)).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.3 - 18.4. Let d = -21.83 - 0.17. Let h = k + d. What is h rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 614880.\nAnswer: 614880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 48 = j. Let h be 2 + -2 + j\/(-56). Which is the third biggest value? (a) -2 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6088402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32076 and 810?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 11404?\nAnswer: 5\/11404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6015769 and 314.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(2\/5)*l**0*l*l**(-5\/3)*l*l*l**(-5\/6)*l assuming l is positive.\nAnswer: l**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 - 6 = 0. Suppose -f = -2*h - 1. Let k be (-2)\/8 + 19\/12. What is the second smallest value in k, h, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 4*d**2 + d - 46. Calculate the remainder when 169 is divided by c(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuuuffufkuuukk. What is prob of sequence fu?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 9*g + 30. Let x be k(-11). Let l(v) = -v - 8. Calculate l(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 5)*(-2 + 2 + h)*(-40*h - 158*h + 56*h).\nAnswer: -710*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 16 - (2 - 1 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2001.85 - -150.82382\nAnswer: 2152.67382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439 divided by 995.\nAnswer: 439\/995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - 5*u)*(u - 2*u + 4*u) - u**2 - 4*u**2 + 2*u**2 - 3*u**2 + u + 4*u - 3*u.\nAnswer: -12*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 32 = -9*i. Solve -i = 5*r + 3*h, 0 = -4*r + h - 20 - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 10*b**2 - 8*b + 11. Let t be p(-9). Suppose w = -t*w + 429. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z - 9. Suppose z*u + 5*v - 5 = 0, -2*u = 2*v - 0 - 6. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4553 (base 8) in base 15?\nAnswer: aab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*o**3 + 468*o**2 - 57*o - 6 = 0.\nAnswer: -1\/15, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/360 + 4*d**3\/3 + 6*d**2. Let i(v) be the first derivative of a(v). Let j(s) = 3*s. Give j(i(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 179231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6402, 10861, 13380, 13959, 12598, 9297?\nAnswer: 4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2703 is divided by 289.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 8 = 4*k, l - 5*k - 9351 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11750180.78 less than 57079?\nAnswer: 11807259.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2 + 2*z - 13. Let w(x) = -7*x + 11 + 12*x**2 - 11 + 31 + 9. Let k(a) = 7*i(a) + 2*w(a). Differentiate k(h) wrt h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y + 1\/2*y**4 + 0*y**2 + 0*y**3 - 1. Differentiate z(k) wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*(sqrt(216)\/sqrt(9)*1)\/(-3*sqrt(12)*5)*4.\nAnswer: -16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-335)\/(-65) + -5)\/1 + 10170\/(-195)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 22*v**2 + 61*v. Let c(p) = 22*p. What is i(c(w))?\nAnswer: 10648*w**2 + 1342*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42847379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/11 + 38*s**2\/11 + 20*s + 400\/11 = 0.\nAnswer: -10, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136914 and 135774.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2031 + -1426. Calculate the remainder when s is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, z: 4, q: 6, k: 1}. Give prob of sequence kz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 110760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 53. Suppose -2*h + x + 3 = -p, 8 = -2*h - 2*p. Let g = -10 + 12. Solve s + g - 4 = h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.0411946 to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002225 rounded to six decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2054, 2054, 2058, 2066, 2078?\nAnswer: 2094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-605)\/(-30))\/11 + 2996\/(-168)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 - -162. Suppose 3*i + 33 = 5*d, d + 0*i - 3 = -3*i. Calculate the lowest common multiple of a and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 3:58 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1993000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 12345608.\nAnswer: -5\/12345608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -25*k**2 + 1. Let o(u) = 25*u**2 - 1. Let b be (4\/(-5))\/(6\/630*-14). Calculate b*m(s) + 5*o(s).\nAnswer: -25*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 2*o - 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2, -0.1, 1 in descending order.\nAnswer: 2, 1, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, j: 4, n: 1, l: 5}. What is prob of picking 1 l and 1 j?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.5186 milligrams to grams.\nAnswer: 0.0035186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4 + 0 + v - 4*v - 3. Determine u(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15414594 to the nearest integer?\nAnswer: 3926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24156309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10342141 - -1?\nAnswer: 10342142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) -5 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1687493 divided by 719.\nAnswer: 2347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 453822 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5598 + -5605 + 0 + 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - o)*(-4 + 4 + 4)*(-o + 0 + 0)*(5*o**2 - 4*o**2 + o**2).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -320 - 2?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 6*y - 10. Let f(l) = l**3 + 4*l**2 - 8*l - 5. Let v be f(y). Solve -30 = -4*u - v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -13 + 18 + 0 + -4 + (-294894)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 1\/3, -44, -162, -0.6, 5 in decreasing order.\nAnswer: 5, 1\/3, -0.6, -4\/5, -44, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 - -4 - (8 + -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -302, -289, -260, -209, -130, -17, 136, 335?\n\"Answer: t**3 + 2*t**2 - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1045*y - y**3 + 1045*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 2, d: 2}. Give prob of picking 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5 - 2295*g**4 + 23021*g**3 - 66813*g**2 + 73748*g - 27660 = 0.\nAnswer: -2305, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Let m(w) = 13*w**2 - 14*w - w**3 - 8 + 17*w**2 + 20*w**2 - 34*w**2. Let x be m(15). Solve -2*b = l - 5*b - x, -i*l - 6 = 4*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.7784883 milliseconds?\nAnswer: 0.00000000901028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 9 = -41. Solve -n*b - r + 0*r = -4, -2*b + 4 = 3*r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0.3, 8\/15 in descending order.\nAnswer: 24, 8\/15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a - -36a?\nAnswer: 2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86.15652*-5.\nAnswer: 430.7826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 170 + 1594 = 0. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6539 or 6540?\nAnswer: 6540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5\/38 + 184\/171. Let i(j) = j - 12. Let r be i(0). Calculate the common denominator of ((-1)\/r)\/(4\/(-162)) and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjje when four letters picked without replacement from jgeeeeeweegeeggje?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7470\/105)\/(-83) + 166\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -60*z. Let d(g) be the third derivative of g**4\/24 + g**3\/2 + 189*g**2 - g. Let t(p) = -12*p - 54. Let h(s) = 18*d(s) + t(s). What is h(u(o))?\nAnswer: -360*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + ((sqrt(12)\/sqrt(6))**2*2 + sqrt(2) - sqrt(2))) + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3376 divided by 566.\nAnswer: -1688\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*g + 20, 0 = 4*g + 5*s - 18 - 0. Which is the third smallest value? (a) -0.01 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6))\/((-82)\/(-123))*-22. Suppose j*z - 8019 = 2937. Is z a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 23000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2)*(-28 + 26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668851?\nAnswer: 668851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-74)\/4*(3 - 1). Let r = n - -74. Solve -2*y + 7*j - 4*j = 19, -5*y + 4*j - r = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 11*c**2 - 47*c - 3. What is the remainder when v(15) is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -120331.3 and 20.\nAnswer: -120311.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 122580 divided by -5\nAnswer: -24516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0046063 or 4?\nAnswer: 0.0046063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4385\/3652, -3, -2, 3.\nAnswer: -3, -2, 4385\/3652, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 595 - 228*p**2 - 298 - 7*p.\nAnswer: -228*p**2 - 7*p - 893","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2964, 6084, 9190, 12276, 15336, 18364, 21354, 24300?\nAnswer: 27196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2028, 6, -3, 1 in ascending order.\nAnswer: -2028, -3, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let c(o) = -18 + 0 + 16 - 32*o**2. What is c(g(t))?\nAnswer: -32*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-49)\/35 + 3 - 166. Which is smaller: b or -164?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3484 and 576?\nAnswer: 501696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 3225*o + 3220.\nAnswer: 5*(o + 1)*(o + 644)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125121142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goio when four letters picked without replacement from {q: 3, a: 5, i: 4, f: 1, o: 4, g: 1}.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-18)\/12))\/2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -5\/2 (c) 34 (d) 3\/4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4215540 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -290, -19, 0.97 in descending order.\nAnswer: 0.97, -3, -19, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84415*l**2 + 4 + 1 - 18656*l**2 - 5.\nAnswer: -103071*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 4. Let v be 1 + 3 + 1\/(-1). Let b be 2*v + -10 + 7. Solve -5*f - l = -4*t + b*t, 3*t - 7 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 17*r + 9. Suppose 5*y + 55 = -35. Let z be p(y). Let a = 4453\/15 + z. What is the third smallest value in -2\/3, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 37\/(-3) - (-5)\/15. What are the prime factors of 2\/(-12) - 242\/t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j. Let m(y) be the second derivative of -y + j*y**3 - 1\/2*y**2 + 0*y**5 - 1\/15*y**6 + 0*y**4 + 0. Differentiate m(q) with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 - 8199*i**2\/2 + 16395*i\/2 - 8197\/2.\nAnswer: (i - 8197)*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*f + 29*f + 26. Suppose -2*k - 2*k = -5*p - 5, -2*k - p + f = 0. Suppose 3*a + k = u + 13, 3*a - 2*u = 13. Let o(q) = 8*q. Calculate o(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 - (9555\/63)\/(-5). Solve 129*p = 124*p - x for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -3*w + 56. Calculate the remainder when 3 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 237099, -28, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z. Let c(m) = -786*m + 1724 - 1724. Calculate c(d(i)).\nAnswer: 1572*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*h - 29*h. Suppose h = 8*o - 1 + 17. Let i(l) = 3 - 3 + l**2. Let v(b) = -6*b**2. Give o*v(c) - 11*i(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -375*r**3*t**3 - 28*r**3*t**2 - 2*r**3*t + 2*r**2 + 9*r*t - 26*r wrt t?\nAnswer: -2250*r**3*t - 56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224256643*r**3 - 50*r - 1338456?\nAnswer: -1345539858*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2. Let u(s) = -s + 8. Calculate -9*j(g) + 2*u(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11079490333 and -7108?\nAnswer: 11079497441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = -4, 3*v + 28 = 4*s. Let n(f) = -20*f**2 + 2*f + 1. Let p be n(v). What is the tens digit of p\/(-77) - 4\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*m + 11237 = 321*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3709, 6979, 10233, 13465, 16669?\nAnswer: 19839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 1634*z.\nAnswer: -z*(z + 4902)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772442 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**6 + 74*w**4 - 9*w**2?\nAnswer: -120*w**3 + 1776*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1003925*x = -1003003*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-130)\/70 - ((-36)\/(-7) - 5). Let i(k) = -2*k**3 - k - 1. Calculate i(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 5.1. Let r = p + -0.2. What is the smallest value in 3, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54290827 divided by -6659?\nAnswer: -8153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -4. Let r be (-2 + (-16)\/i)*3. What is the greatest common factor of r and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 19236284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-74692)\/177*(-9)\/(-6). Let g = f - -633. Let u = g - 125\/413. Is 1\/4 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2400 = -463276*n + 463308*n for n.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*t**2 + 39*t**2 - 61*t**2 + 20*t**2 - 106*t**2 in the form s*t + x*t**2 + z and give x.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4)*(-2 + 3). Suppose 2*z = z - 2. Let q = z - -1. Is k at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2. Suppose -2*c - 10 = -7*c. Let t be -1 - 1 - -8 - c. Let o(u) = -2*u + t*u + 2*u. Determine s(o(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-30))\/((-71430)\/2381)?\nAnswer: -2\/225","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 12 = 4*m, 5*a - 88536*m + 1 = -88530*m - 9 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, p: 2, n: 7, j: 3, c: 3}. What is prob of picking 2 s and 1 n?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 497, 5, 50, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1198694 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - s + s + (1 - 3 + 4)*(-2*s - 2 + 2) - 2*s + 3*s + s + 17*s - 305 + 305)*(-3 + 2 + 3 - 5 + 5 - 3 + (-4 + 3 - 1)*(2 + 4 - 5)) - s + 0*s + 0*s.\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372324314 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-13)*t*t)\/t*(t\/(t**(-9)*t))\/t*(t**5*t)**(1\/4) assuming t is positive.\nAnswer: t**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*z - 340, 3*z - 45 = -u + 23. Calculate the remainder when 125 is divided by u.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/4 - 135*q\/2 + 18225\/4 = 0. Calculate q.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 398471707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 61509.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 + 7*v**2 - 62*v - 102. What is the units digit of l(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/104 and -41\/5.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/210*(-75)\/45?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-4)\/56)\/1*48\/(-84)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let w be (3 + -5 + 2)\/u. Solve w = 3*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1079 + -4?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010001110010100011 + -100?\nAnswer: 111010001110010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 7:27 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*j - 5*c - 0, 3*j - 3*c = 33 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 1\/21, 0.08, -31, -6\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1084847 and 1075?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 362800892, 362800891, 362800890, 362800889, 362800888?\nAnswer: 362800887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 457264264 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (415\/249)\/((-4)\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518.1149mg to nanograms.\nAnswer: 518114900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -440*r - 11*r**3 + 141*r**2 + 400 + 1\/4*r**4 = 0. What is r?\nAnswer: 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**4\/6 - 33*a**2. Let i(x) = 10*x**2. Give n(i(v)).\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + h**2 + 0)*(1008*h - 1368*h + 1244*h) in the form z*h**3 + c*h + r + q*h**2 and give z.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(931)*2*3 + sqrt(931) + 2 + (sqrt(931) + 0)**2)*-4*-6.\nAnswer: -89568 - 4704*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 q when three letters picked without replacement from uqouoouuuooquqoqo?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 11*m - 19. Let n be d(3). Solve -10 = -3*o + n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 65*p - 40*p. Solve -4*o + 24 = -5*q, -5*q - 16 = -p*o + 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*k**4 + 192*k**3 + 1124*k**2 - 24*k = 0.\nAnswer: -2, 0, 1\/47, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*n**3 - 9784587*n**2 - 299303479*n.\nAnswer: 66*n - 19569174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*z**2 + 7*z**2 - 12*z**2)*(107*z - 135*z + 183*z) as n*z**2 + u + t*z + x*z**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -219\/5 - -44. Let f be 118\/(-6) + (-1880)\/(-84 + -10). Are a and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - z**4 + 0 + (-z**3 - 3*z**3 + 7*z**3)*(0 + 0 - 3*z).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1525 and 6265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 4. Find the second derivative of 0*m + m**4 - 7*m**4 - m**4 - f*m wrt m.\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-664)\/8 - (-1881607)\/22678\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*l + 112*l + 440 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -140) + 79 + -23 + -98.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000100694 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 6 = 3*m + 4*t, 3*t - 9 = 0. Suppose 2*q = 5*a + 35, q - m*q + 17 = a. Calculate the remainder when 58 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvgggaggvvgvvvvv. Give prob of picking 4 g.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - 9*g**2 - g**2 + (4*g + 4*g - 5*g)*(0 + 0 - g) - 3*g + 3*g + 2*g**2.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3841981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 1004728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 1. Let r(z) = 2*z**2 - 8*z + 13. Let m(a) = 11 + 39 - 51. Let x(d) = 6*m(d) + r(d). Determine 6*g(y) - x(y).\nAnswer: -2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108435?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439103343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -6 - (-160)\/50?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*n + 156*n**3 + 157*n**3 - 3 - 311*n**3 to the form s*n**3 + r + m*n**2 + k*n and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**2)\/u**5*(u**(1\/6)\/u)\/(u\/(u*u\/u**(3\/8)*u)) assuming u is positive.\nAnswer: u**(-29\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blbl when four letters picked without replacement from {b: 4, l: 2, i: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from ggghdpgggpd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 441.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40237?\nAnswer: 40237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188448 and 3738?\nAnswer: 117403104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 19 + 4. Suppose y*z = 8*z - 245. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -2*m + 103. What is the remainder when 69 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -17\nAnswer: -31\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8089 is divided by 540.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 1, l: 1, z: 2, f: 12, b: 2}. Give prob of picking 1 f and 1 l.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -8*q + 21*q - 14*q - 14, -530 = 106*q for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**3 - 1255*v**2 - 984*v + 1?\nAnswer: 6*v - 2510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 f when three letters picked without replacement from npnfmpn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s**5\/13 + 662*s**4\/13 - 2096*s**3\/13 - 19620*s**2\/13 + 59900*s\/13 + 76750\/13 = 0 for s.\nAnswer: -5, -1, 5, 307\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-54)*39 - 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 6*j**2 + 3*j - 3. Let y = 87 - 33. Let v = -26 + y. Calculate the remainder when v is divided by n(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1164)\/(-2716))\/(3*3\/(-12))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17673534*k**3 + 14409997*k**2 wrt k.\nAnswer: -106041204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 312218186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1155 (base 6) to base 3\nAnswer: -101122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41913, -167680, -377305, -670782, -1048105, -1509268, -2054265?\n\"Answer: w**3 - 41935*w**2 + 31*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 28*y + 15*y.\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415754 is divided by 51961.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-9))*g)\/g)**(2\/51)\/(g*(g**(2\/33)\/g)\/g*g\/(g*g**11)) assuming g is positive.\nAnswer: g**(6896\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -24, -18.1, -3\/7, -6\/7 in decreasing order.\nAnswer: 5, 4, -3\/7, -6\/7, -18.1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4944261 by 7.\nAnswer: 706323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31533?\nAnswer: 3, 23, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2608553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54100810 is divided by 190?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*t**3 + 0 + 4\/5*t + 6\/5*t**2 = 0 for t.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*a = 6. Suppose 3*u = -2*q + 72 + 423, 3*q - 738 = -a*u. What is the highest common divisor of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.041 or 9745\/3?\nAnswer: 9745\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574, 2094, 4680, 8332, 13050?\nAnswer: 18834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -411?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 39632380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/24)\/(1\/18). Calculate the greatest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u. Let v(l) = 13*l. Let a(x) = 5*f(x) + 4*v(x). Let p(m) = -81*m. Determine a(p(y)).\nAnswer: -162*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.113, 283, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h + 4*h - 8*h)*(-3*h + 6*h - h) + 27*h**2 + 16*h**2 - 20*h**2.\nAnswer: 39*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 36635, 37400, 38165, 38930?\n\"Answer: 765*p + 35870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -712*r - 139*r**4 - 304*r**4 - 795*r**4 - 2*r wrt r.\nAnswer: -14856*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -550 - -557. Let l be (3\/2)\/((-3)\/(-4)). Solve -5*y + v = -n - 8, 4 = -3*y - l*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 7*p**2 - 16*p + 5. Calculate i(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 22\/30 - (-116)\/(-87)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (577 - 577 + 80*u + 49*u)*(2*u + 3*u - 7*u)*(-u + u - 7*u).\nAnswer: 1806*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c + c - 2*c - 3*c. Let z(j) = j - 3. Let k(s) = 4. Let d(u) = -3*k(u) - 4*z(u). Give n(d(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-8 + 2)) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 2*t - 4*l - 286, 0 = 5*t - 3*l - 461. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -407 + 695. Let s(y) = 15*y + 902. Let t be s(-58). What is the greatest common divisor of a and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 r when three letters picked without replacement from yrmmkmmyk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -540 divided by 6\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 + -0.4. Let o = -0.3 - -0.1. Let q = -4.5 - -6.5. What is the second smallest value in o, y, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 2*s - 3. Let o(n) be the second derivative of n**4\/6 + n**3\/2 - 3*n**2\/2 + 2498*n. Give -4*d(c) + 3*o(c).\nAnswer: -6*c**2 + c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15943252.24 rounded to the nearest one hundred thousand?\nAnswer: -15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13386548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0209916 to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (126\/1260)\/((-7)\/10)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 495*j**2 + 4539*j + 1516. Determine b(-504).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1313, -1312, -1311?\n\"Answer: n - 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11438, 45769, 103000, 183137, 286186, 412153, 561044, 732865?\n\"Answer: n**3 + 11444*n**2 - 8*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1142, -1144, -1146?\n\"Answer: -2*v - 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 3. Let w be r(-4). Is 36\/1*w - 3 - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i. Let b(f) = -f - 1. Let p be (-6)\/15 + 96\/15. Let r(w) = w. Let o(y) = 2. Let k(j) = -o(j) - r(j). Let s(u) = p*b(u) - 3*k(u). Determine c(s(l)).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**3 + 3*d**2 - 3*d**2)*(-2 - 10 - 1)*(0 - 1 - 1) to the form r + j*d**3 + k*d**2 + v*d and give j.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2788 + -2757 - (76 + -2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 + 12b2?\nAnswer: 128c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -5. Suppose -5*i - 15 + 65 = 0. Suppose 2*t + i = 2*b - 0*t, -5*b + 5 = 5*t. Solve 3*z + b = -5*n + 16, 1 = -2*n + k*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132 - (0 + 21 - (-588 - -588))) + 5.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5\/4)\/((42525\/(-720))\/(-63))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2.8, 1\/5.\nAnswer: -2.8, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760*g - 765*g - k - 102 = -4*k, 3*g - 4*k + 70 = 0 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**3\/3 + 2*b**2 + 7*b + 1. Let z be 6\/4 - (-2)\/(-4). Let g be z\/(3\/(-45)*3). Calculate y(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 19*y - 4. Let -13\/4*c**2 + 3\/2*c**3 + 3*c - 1\/4*c**4 - y = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13403341 + 23410?\nAnswer: -13324431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftfjtjtj. What is prob of sequence ff?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19889 - 311.863294\nAnswer: -20200.863294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1880\/12051 + 2\/927. Let o = -515\/33 + 168\/11. Which is the nearest to o? (a) v (b) -2 (c) -5 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 52. Suppose -10 + 1 = -3*k. Suppose -2*s - 414 = -j*y + s, 2*s + 419 = k*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-273)*26*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53380507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 2:59 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127 and 508?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxn when three letters picked without replacement from xnnxnnxxnnnxn.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d + 1 - 4*d - 3*d + 9*d. Let s be t(1). Calculate the remainder when (-154)\/((s - 0)*2) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3, 4, 6\/427, -4\/7?\nAnswer: 6\/427","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -1\/7 (c) -4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4420013 (base 5) to base 3.\nAnswer: 10212121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**3 - 24*i**2 - 24. Let g(d) be the second derivative of d**4\/12 + d**2\/2 + 88*d. Calculate -24*g(t) - j(t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a - 3*a - 2*a to the form m + r*a and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/4 and -125\/1187034?\nAnswer: 2374068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 10*w - 148 = -13*w + 43*y, 4*w + w + 3*y = -27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118*g**2 - 2*g - 64?\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 29*d + 26*d - 12, 4 = -2*g - d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - (-4 - 6)) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + 46. Suppose -3*k = 2*k - 4*a - z, 2*k - 47 = -3*a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.0074, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.32 - -0.7. Round k to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45285*n**2*y**2 - 1039*n**2*y - n*y**2 + 99055*n + 6*y wrt n.\nAnswer: 90570*y**2 - 2078*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37361, -74724, -112087, -149450?\nAnswer: -186813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 11 = -3*y, -5*y - 1041*j + 31 = -1037*j. Calculate the lowest common multiple of y and 607.\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - q. Let l be 5 - (1\/(-1))\/((-13)\/26). Let k(h) = 11 - 5 - l*h**2 + 0*h - 5 + 3*h. What is -c(a) - k(a)?\nAnswer: 2*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2332 - -560?\nAnswer: -1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4307374*i**2*s**5 - 3*i**2*s + i*s + 3062*s - 7 wrt s.\nAnswer: -86147480*i**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/(-2254))\/((88\/2156)\/(1\/7)).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 6. Suppose -b*k + 6 = 0, 3*k - 692 = -3*j - k. Suppose 0 = 3*u + 57 - j. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1641781 + 2?\nAnswer: -1641779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*d**2 + 162*d**2 + 6*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5936 - -9565. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221 - -130113?\nAnswer: 131000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 5, 0 in ascending order.\nAnswer: -11, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -810*h**2 + 662 with respect to h.\nAnswer: -1620*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/7 - 18*d**3\/7 + 104*d**2\/7.\nAnswer: -2*d**2*(d - 4)*(d + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 4*h + 14. Suppose -284*s + 301*s + 187 = 0. Let i(t) = 6*t**2 + 11*t - 41. Give s*b(c) - 4*i(c).\nAnswer: -2*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 0*y + 12*y - 15*y**2 + 23*y - 34 + y**3 - 13*y. Let h be d(14). Calculate the highest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 4*q = 53810. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43192297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25648 is divided by 47.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-10))\/((-267)\/(-6230)). Solve 26 = -g + 36*a - 40*a, 0 = 4*a + j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -5*z**4\/12 + 7*z. Let u(r) = -r. Give u(m(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 27*a**2 - 8*a - 25. Let g be i(13). Is 11216\/g*(-5)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6279 divided by 2093\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100101111110 (base 2) to base 8.\nAnswer: -64576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - 2*(sqrt(304) + 4)) + 2.\nAnswer: -4*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by -2\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 - 209*c - 185 - 127*c + 95 as s + m*c and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2472, -2471, -2470, -2469, -2468?\n\"Answer: m - 2473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21888*a - 44882*a - 30620*a - 49681*a.\nAnswer: -103295*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -68) + -7 + -1 + (-9 - 15 - -16)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.9445 - -1.093006?\nAnswer: -139.851494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -683\/8 smaller than -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + 1 + -2 + 6 + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d*d\/(d\/(d\/d**(3\/14)))*d)\/d*d*d)\/(d**(1\/3)\/d) assuming d is positive.\nAnswer: d**(271\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52211870 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**26\/w*w**(-27)\/w*w)**(-18) assuming w is positive.\nAnswer: w**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5)*-4) - sqrt(14)\/sqrt(567).\nAnswer: -13*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 155605106 or 155605107?\nAnswer: 155605107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3073, -8\/5 in decreasing order.\nAnswer: 3, -8\/5, -3073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -1109, -4, -38, 5 in increasing order.\nAnswer: -1109, -38, -4, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.28 - 13.58. Let k be (-2)\/(-4) - (-7)\/(-10). Sort 0.3, k, u in increasing order.\nAnswer: u, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2123 + -1376. Suppose 2*b + 2*b - 2*o = 1482, -5*o = 2*b - x. What is the highest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 126171 and -1.03.\nAnswer: -129956.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/9 and 1\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 755*u**4 + 276840*u**3 - 6*u**2 + 319376*u + 28?\nAnswer: 18120*u + 1661040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -644 divided by -16421\nAnswer: 644\/16421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let f = 12 + -13. Let j = f - b. Sort j, -3\/4, -1 in decreasing order.\nAnswer: j, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (405\/108)\/(9\/6)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -32. Suppose -r - 4*d - 18 = -3*r, 4*r - t = 5*d. Suppose -5*i = -r*i + c + 58002, i + 4*c + 29008 = 0. What is i rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 312.8 - 313. What is the closest to v in 3, -9\/2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6689370 + -9921310. Let n = s - -3231956.00009. Let r = n - 16. What is r rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 9*v + 12. Let s be z(10). Let j = s + -2. Let u = -5.11 + 0.11. Which is the closest to 0.1? (a) -3 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 363, 743, 1257, 1899, 2663, 3543?\nAnswer: 4533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 6*j**2 + 6*j + 8. Let y be w(-5). Find the third derivative of o**3 + 0*o**3 + 0*o**3 - y*o**2 + 0*o**2 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153 + 151)*(-2)\/(-6)*(-9 + 51).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/640)\/((-84)\/32).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 3. Give y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 + 2*p**3 - 20*p**3 + p**3 - p**3 - p**3 - 2 + 2 - p**3 + (2*p**2 - 2*p**2 - 2*p**2)*(-2*p + 2*p + 2*p).\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 times -1.1427?\nAnswer: -177.1185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k + 5*k + 2*k + 4*k - 22*k. Let o(m) = -6473*m. What is o(j(n))?\nAnswer: 12946*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2186 - -2147) + 51 + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = 24*t - 70. Suppose 7 + 13 = 4*g, 0 = -4*v - 2*g + 110. What is the remainder when v is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((549\/6)\/(3\/4))\/2. Let z = -55 + x. Suppose -o - 225 = -z*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -177123827?\nAnswer: -177123827.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (63 + -3)\/(-1 - 0). Let u be 95\/p + (-1)\/(-4). Suppose -2*q + 10 = -6. What is the second biggest value in u, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*(-5)\/((-50)\/24)*(30\/4)\/(-3).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 6*n - 4. Let m be h(-5). What are the prime factors of -2*(m + 3\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*r**3 + 90*r**3 + 17*r**3 - 25*r**3 - 14*r**3.\nAnswer: 226*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*z + 36 = 0, 3*m + z = -10 - 26. Let x = 13 - m. Suppose -2030 = 218*g - 276*g. Calculate the remainder when g is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + 0 - ((-70 - -94) + -72).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0. Let z = t + 66. Let v(x) = -299*x**2 - 77440*x + 272. Let j be v(-259). What is the greatest common factor of z and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 8*a - 4. Suppose 0 = -3*h + 6 + 18. Let i = h - 13. Give t(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 2. Let d(u) be the first derivative of 2 + 1\/2*u**2 + 2*u. What is -6*d(y) - 7*h(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010101101001110010 - -1010?\nAnswer: 10011010101101001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*c - 5*f, -4*c - 4*f - 35 = -15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 38.6. Let w = 1.6 - j. Let i be 4\/10*19\/38. What is the fourth smallest value in 3, w, i, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 681*p - 9014. Give f(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 4*i**2 + i + 3. Let g be x(4). Let m(a) = -5*a - 3. Let d be m(-4). Suppose 5*b = 2*n + 19, d = 5*b - n - 0*n. Solve -2*c + b = -g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s**5 - 18*s**4 - 107*s**2?\nAnswer: 240*s**2 - 432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270251181.\nAnswer: 3, 2677, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 162233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 2*x - 5*x)*(x - 1 + 1) - 30*x**2 + 30 - 30 in the form t*x + n*x**2 + u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -335*c**3 - 7*c**2 + 40*c + 1468. Let s(b) = -336*b**3 - 6*b**2 + 35*b + 1467. Let j(f) = 8*s(f) - 7*w(f). Differentiate j(y) wrt y.\nAnswer: -1029*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 359009 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f - 37. Let z be o(11). Does z = 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 30 = 2*a, 6*a + 40 = a + 3*q. Let h(f) = -f**3 - 3*f**2 + 2*f + 6. What are the prime factors of h(a)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqn when three letters picked without replacement from {d: 7, q: 2, n: 4, a: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2675.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 - 143 + 299 - 164 + 7*t as g + z*t and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4477630 and 1316950?\nAnswer: 22388150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 184688904*w - 2842499271726768.\nAnswer: -3*(w + 30781484)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -8 + (-4 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-9)*-15*8\/320?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8130 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 9*b = -b. Suppose b = -15*h - 5206 - 7109. Round h to the nearest 10.\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13030300 (base 4) in base 16?\nAnswer: 7330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110100100111 (base 2) to base 9.\nAnswer: -23424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3430)\/(-9030) + (-6)\/129. Which is the smallest value? (a) 0.4 (b) 1\/6 (c) w (d) 0.172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14696*u - 26892*u + 13739*u.\nAnswer: 1543*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-484)\/(-24) - (-2)\/(-12). Suppose 4*q = -2*m + h, 3*m + q - 31 = -4*q. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 28*n + 4. Let x be a(-28). Solve -x*d + 11 = -v, 7*d = -v + 8*d - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f = 13*f + 2*q + 31, 3*f - 236*q = -229*q + 146 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 0*k**2 - 25*k**2.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*330\/(-3). List the prime factors of (2\/3)\/(10\/v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-12)*16)\/((-7)\/(147\/(-7)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 7:40 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(5\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 59, 127, 235, 395, 619?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 - 3 - 1842*a + 3767*a to i + p*a and give p.\nAnswer: 1925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9599.621t to nanograms.\nAnswer: 9599621000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 910\/455*(-3)\/(4*(-2)\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 4*u + 5. Let j be p(4). Suppose i**4 + i - 2*i**3 + 0*i**4 + 3*i**2 - 5*i**2 + 1 + i**j = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 27*l + 133. Determine v(-28).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1000001 (base 2) to base 16\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 2. Let x(f) = -50*f**2. Determine x(m(p)).\nAnswer: -800*p**2 + 800*p - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31701 (base 8) to base 9\nAnswer: -20151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - l - 9474 = -31162, 2*x = 3*l + 14466. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*s**2 + 0 + 19*s + 24*s**2 + 0*s**4 - 12 + 2*s**4 - 49*s**2 as a + v*s**4 + i*s**2 + d*s**3 + q*s and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-4)*y**(1\/4))**36)**(1\/53))**(-10\/13) assuming y is positive.\nAnswer: y**(1350\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {c: 2, h: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*t = 0, 3 = -5*b + 5*t + 8. Suppose -3 = j + 1, -z - 4 = 2*j. Let v(s) = -z*s**2 + 5*s**2 + 1 - 2 + 3*s. What is v(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -251\/5. Let g be (6\/(3 + -1))\/(59 + -62). Which is the second biggest value? (a) -2 (b) v (c) g (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = 13. Let f be ((-4)\/5)\/((-7)\/175). Suppose d*n - n - f = 0. Sort n, -3, 2.\nAnswer: -3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*c = 202*c + 23*c - 2569 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0708739*-0.1.\nAnswer: -0.00708739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 1:00 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (4 - -3) - -6) + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3 - 1965682*z**2 - 483012785728*z - 12074091123200 = 0.\nAnswer: -491408, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33329 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from {u: 1, p: 2, v: 2, x: 1, o: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 - (-10 - 116)\/14 and 128.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 3*o + 48, 344*o + 21 = -m + 341*o for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1534 is divided by 50.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-5)*q*q**(-2\/13)*q*q**(-31))\/(q**(3\/23)\/(q*q**4*q**(2\/3))) assuming q is positive.\nAnswer: q**(-15803\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 760, 1520, 2280, 3040, 3800, 4560?\n\"Answer: 760*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -104. Let k(v) = 2*v**2 + 8*v - 19. Let d be k(c). Let q = -89 + d. What is the highest common factor of 132 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 smaller than -410\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5364 divided by 5?\nAnswer: 5364\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/7)\/(((-15)\/900*-15)\/((-42)\/(-16)))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -518*s - 3104. Determine q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.5, 3, 2, -5655?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 171500*a**4\/3 - 786268700*a**3\/3 - 89863760*a**2 - 30810944*a\/3 - 1173760\/3 = 0?\nAnswer: -4\/35, 4585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by 655819.\nAnswer: -61\/655819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*g = -29, -2*q = -q + 4*g + 22. Let x = 4 + q. Factor -2*j**2 - 10*j + 2*j**3 - x*j**2 + 8*j**3 + 4.\nAnswer: 2*(j - 1)*(j + 1)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = -3*u, 2*u + 2*z = -z + 12. Suppose -14 = -4*q + u*r - r, 5*r = -5*q + 10. Suppose 72 = k - q*g, -k + g + 208 = 2*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/((18\/760)\/9). Let t be x\/(-420) + (-4)\/(-14). Let d be 8\/(-36) - (-415)\/45. Is d > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6709274, 6709276, 6709278?\nAnswer: 6709280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n - 11. What is the least common multiple of a(6) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 2*c + 24, -245*c + 240*c - 6 = 3*q - 4*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -174.\nAnswer: 1\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11992.42 days in microseconds?\nAnswer: 1036145088000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 573391756 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 13*l. Let v be k(-8). Solve -m = 2*z + 3*m - v, -2*m + 4 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29375, 117485, 264333, 469919, 734243, 1057305, 1439105?\n\"Answer: 29369*w**2 + 3*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1065944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011001 + 110100000111111?\nAnswer: 110011110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35160 and 128920?\nAnswer: 386760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -6005 at least -5989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 11:23 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -137, -155, -181, -215, -257, -307?\n\"Answer: -4*t**2 - 6*t - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/6)\/((-1)\/2). Let a = -47 + 66. Let u = 35 - a. Solve u = -4*w, -o*r - w + 7 = -2*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3237 + -35613\/11. Let m be 4\/(-10)*(-2)\/(-6). Put -2\/17, j, m, 0 in decreasing order.\nAnswer: 0, -2\/17, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 6 + 1)*(16*i - 5*i + 24*i)*(5*i + 3*i + 4*i) in the form c*i**2 + m*i + d and give c.\nAnswer: 2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6) + 1 + 25\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 389534824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p**3 - 3*p**2 - p - 5. Let f be v(5). What is f rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 2\/5 (c) -5 (d) 4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Let n = r - -0.5. Which is the closest to 2\/5? (a) -4 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 7 = -2*z - 3*q, 3*q - 11 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*w**5 + 2273336*w**4 - w**3 - 2660548*w + 14.\nAnswer: -60*w**3 + 27280032*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.165 - -68.165. Let m = 68.502 - t. What is m rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*u + 249*u + 4004 = 337*u for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*20\/540)\/(((-11)\/(-9))\/(-11))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 32 = 4*h. Let s be ((-12)\/9)\/(h\/(-12)). Suppose p + 365 = s*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*k**3 + 27*k**3 + 3*k**3 as y*k**3 + h*k + z + l*k**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 + 7 + -6) - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6053, 5, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**3 + 11*w**2 + 6*w + 2. Let g be o(-3). Suppose 3*p = -g*u + 90, 5*p + 184 = 4*u + 9*p. What is the highest common divisor of 156 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -955*i**3 + 4*i**2 + 5*i + 2. What is the least common multiple of z(-1) and 8?\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -204280 to the nearest 1000.\nAnswer: -204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 346 = -3*f, -5*f - 731 = 5*d + 134. Let y = d - -673. What is y rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 84, 0 in decreasing order.\nAnswer: 84, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 19 + 48 - 285*a**3 - 3*a**2 + 2*a**3 + 3*a**2 + (-4 + a + 4)*(2*a - 2*a - 3*a**2) to d*a + j + p*a**2 + w*a**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3250 + -254. List the prime factors of (-1)\/(-3)*m\/(-4).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -28*v**3 - 2*v**2 - 2*v - 1. Calculate m(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x\/(x\/(x\/(x\/(x*x\/(x\/((x**0\/x)\/x)*x)*x*x))))))\/x)*x*x*x)\/x**(-3)*(x*x**(-2\/17)\/x)\/(x*x**(5\/2)) assuming x is positive.\nAnswer: x**(115\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 43208?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-4)\/t*t))\/t)**17 assuming t is positive.\nAnswer: t**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 1\/2*r**3 - 4*r + 0 + 0*r**2 - 1\/2*r**4. Factor g(q).\nAnswer: -3*q*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-3))\/1)\/((-150)\/(-225))*45\/72\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 12*n**2 - 4*n - 67. What is f(-12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z - 6. Let i = -51 + 51.3. Which is the second biggest value? (a) z (b) i (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2624*n + 832 = 2742*n - 5262*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) - 9\/(-6). Suppose -5*o = s + 3 - 18, 3*s + 6 = 2*o. Suppose c*j + o*z = -z + 14, 0 = 3*j + 3*z - 6. Are -2 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -346 + 355. Solve u + 4 - w = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32584 + -33137. What is the second smallest value in -5, w, -0.5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -i - 0 + 1, -5 = -5*n - 5*i. Which is bigger: n or -1\/23?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -22?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + (7 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bapb when four letters picked without replacement from abzbapabpzllbazl?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bybibybtattabt.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 23*q**2 - 19*q + 55. Let c be h(22). Calculate the highest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*p + 2*p = 1198, 3*c + 4*p + 895 = 0. Suppose 4*x - 214 + 1050 = 0. Let b = x - c. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + b - 11 = -3*t, 0 = -4*b - 20. Suppose 2*o + t = -4*a - 58, -3*a = -o - 26. Is -31 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-1)\/6*3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 203 divided by -611\nAnswer: -203\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 808a647 (base 11) to base 16\nAnswer: da41d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1803*y - 4036. Let z(o) = 3598*o + 8068. Let b(q) = -5*r(q) - 2*z(q). Differentiate b(d) wrt d.\nAnswer: 1819","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0789*-137153\nAnswer: -10821.3717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194 and 5141.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*f = 5548 - 23062 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -14 in increasing order.\nAnswer: -14, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17632122 (base 8) to base 5\nAnswer: -2030022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 = 3*j - 9, j - 4*v + 3 = 0. Suppose -l = 3*z - 127 + 24, 0 = 2*l + 4. Solve z = -j*p + 3*y, p = -0*y - y + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7249 divided by 79975.\nAnswer: 7249\/79975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 233851376 divided by 420596\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 349*q - 407*q - 232 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4341523us in days?\nAnswer: 0.00000000006289528125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/(-7))\/(-10)*(-6)\/840?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -7. Let f be 0\/(t + 2 + -2). Put f, 2\/9, 1 in descending order.\nAnswer: 1, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/1565375 and 125\/6.\nAnswer: 9392250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 2. Let o be t(10). Suppose 2*b - 7*b - 65 = -5*a, -59 = -3*a - 2*b. Calculate the remainder when (-1 - o\/(-3))*30 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 6, 1025, 5 in descending order.\nAnswer: 1025, 6, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431007.\nAnswer: 1431007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 246 - 163. Let h = r + -83. Put 91, h, -4 in descending order.\nAnswer: 91, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4\/9 (b) -1\/3 (c) 0.4 (d) -2\/11 (e) -36\/11 (f) 182 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-15))\/(2\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m - 33. Let h(r) = 17*r**2. What is y(h(l))?\nAnswer: 119*l**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*v + 23, x + v - 2 = -5. Suppose -12 + 2 = 2*j. Let t = x + j. Let y(g) = -g + 3. Determine y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Suppose 5*l + 24 = 4*a - b, 5*a + 5*l = 0. What is the remainder when 5 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49879639*c*v**5 - 55*c*v - 10*c + 34*v - 6 wrt v?\nAnswer: -997592780*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**5\/130 - 2*l**4\/3 + 52*l**3\/3 + 1492*l. Factor f(t).\nAnswer: 2*t*(t - 26)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -44272 and -44271 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/10426 and 9\/18707?\nAnswer: 15003014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -167*a**2 + 2*a - 6. Let q(v) = 69639*v**2 - 835*v + 2505. Give -835*g(p) - 2*q(p).\nAnswer: 167*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 352 = 2*f, 5*b - 2*f + 608 = -4*f. Let u = -41 - b. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x - 226 = 0. Suppose -w + x = 49. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -406, 4, 5 in ascending order.\nAnswer: -406, -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 8515374*l.\nAnswer: 2*l*(l + 4257687)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27768684 divided by -3162.\nAnswer: -8782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**2 - 359*r. Let w(q) = -8363*q + 2. Determine w(u(d)).\nAnswer: 50178*d**2 + 3002317*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.806, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6030*f**3 - f**2 + 28133*f + 1?\nAnswer: 36180*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(20\/(-41)) + (8 - 12).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 23 - -22) + 18 + 35?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**4 - k**3 - k**2 - 1. Let z(w) = w**4 - 4*w**3 - 4*w**2 - 18. Let h(l) = -4*s(l) + z(l). What is the derivative of h(y) wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 15*c + 223. What is the smallest common multiple of l(-22) and 15?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) - sqrt(133)\/sqrt(112)) - (2 + 4*sqrt(19)))*-3.\nAnswer: 6 + 27*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1948531 divided by 13.\nAnswer: -149887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -21754786, -4, -5 in descending order.\nAnswer: -4, -5, -6, -21754786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/12)\/((-3)\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from tmmttuutu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1118988, 2237982, 3356986, 4476006, 5595048, 6714118?\n\"Answer: o**3 - o**2 + 1118990*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**3 + 22*q**2 - 2*q - 93. Let t(j) = 4*j**3 - 21*j**2 + 4*j + 92. Let n(b) = 5*t(b) + 4*w(b). List the prime factors of n(-7).\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28561691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12711*y. Let f(o) = -21*o**2. Give z(f(p)).\nAnswer: 266931*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 2*f + 9. Let s be z(0). Suppose 17 + 1 = s*x. Solve -x*n = -0*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 3*s**2 + 4*s)*(-2 - s + 2 - 11).\nAnswer: 3*s**3 + 33*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, 11, 12896, -1\/9, -2\/11, -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 0.3 (c) 3\/7 (d) 22.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -442, -445, -448, -451, -454?\n\"Answer: -3*k - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 4*m**3\/3 + 178*m**2 + 352*m + 181. Determine z so that t(z) = 0.\nAnswer: -88, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**3 - 4*t**2 - t + 5. Let n(k) = -11*k**3 - 11*k**2 - 3*k + 15. Let s(x) = 8*d(x) - 3*n(x). Let f be s(0). Let h(y) = y + 2. Calculate h(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2054402 - -114?\nAnswer: 2054520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((7104\/56)\/(-6))\/(4\/(-14)) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/10 and -29\/508.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 + 71*j**2 + 18*j + 73. Let n be t(-33). Suppose n = 33*q - 27812. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-2 + 3)*((-517)\/77 - -5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25817 - 932. What are the prime factors of b?\nAnswer: 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/((sqrt(108)\/sqrt(3))\/sqrt(4)) + 0 + sqrt(28) + -4 + sqrt(28).\nAnswer: -4 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 5*y + 3. Let m be q(-6). Let w be 6\/(m\/(6\/(-4))). What is the third derivative of -3*o**w - 2*o**2 + 0*o**3 + 0*o**2 wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 307.29 - 309.29. Put 2\/7, 0.2, 78, f, -1\/5 in decreasing order.\nAnswer: 78, 2\/7, 0.2, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkukuk. Give prob of picking 4 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 + 28*i**2 + i - 25. What is r(7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.260106 + -0.27?\nAnswer: -0.009894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 8*o + 5. Let y be j(9). Let n = -5 - y. Let v be (n - -1) + -1 + 1. Put v, 3, -3\/4 in descending order.\nAnswer: 3, v, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/sqrt(27) + (sqrt(45) - (-1*sqrt(180) + sqrt(180) - sqrt(180))))\/((sqrt(72)*-1*6)\/sqrt(2)))**2.\nAnswer: 125\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 24*c**2 + 11*c + 19. Let v be r(18). Suppose v = 6*d - 5513. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 3*h**2 - 2*h**2)*(44 + 16 + 2*h**3 - 88).\nAnswer: 4*h**5 - 56*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241607 is divided by 218?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 25\/2*c**3 + 35\/6*c**4 + 5\/12*c**5 + 0 + 16*c**2 + 5*c. Solve x(g) = 0.\nAnswer: -5, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 0 (b) 110 (c) -1\/30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -662*r + 663*r - 1258. Suppose 1118 = 18*p - r. What is the highest common factor of p and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 50. Let v = s + 10.99989. Round v to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25840320791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t**3 + 0*t**4 + 0 + 1\/420*t**6 + 17*t**2 + 1\/210*t**5 + 0*t. Solve d(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/2)*((y\/y**(-4))\/y*y)\/y)**(-41))**(1\/3))**(2\/149) assuming y is positive.\nAnswer: y**(-123\/149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 81 - 77 - (5 - -2 - 11)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 0*n + 0 + 3\/2*n**3 + 3*n**2 - 1\/24*n**4. Let g be v(6). Sort -2, g, 2 in ascending order.\nAnswer: -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.9, 5, -2\/174253 in decreasing order.\nAnswer: 5, 2.9, -2\/174253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4544 to 2 decimal places.\nAnswer: -3.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10*q - 26. Let y be i(3). Solve -p + 3*p - 4*x - 16 = 0, y*x + 16 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 221*m - 6204. Let w be j(188). Let v = -18 + -5. Is w != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 7*u**2 - 10*u - 7. Let t be g(-6). Let p = -3 + 7. Suppose -24*a = -23*a. Solve a = p*m - t + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 2*z + 2 - 1)*(3 + 4 - 5)*(-2 + 2 - 2)*(18 + 26 + 95)*(-2 + 5 - 1) as n + f*z and give n.\nAnswer: -1112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2057))**2*3.\nAnswer: 66*sqrt(17) + 6174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*n**3 - 1504 - 52*n**3 + 742 + 134*n**3 + 762 - 45*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p + 7. Let d be (-3*(-28)\/10)\/(38\/95). Suppose -4*m - 4*u + 26 = -u, -2*u - d = -5*m. Calculate x(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p - 121. Calculate y(15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -287?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 38*t - 68. What is k(36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 21577433.43 to the nearest one thousand.\nAnswer: 21577000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h. Let p(r) = 5*r + 6. Let z be -6 + (-9)\/(-3) + 4. Let t(a) = a + 1. Let j(b) = z*p(b) - 6*t(b). Give j(d(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0, 3, -59, -2, 6.\nAnswer: -59, -18, -2, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -25?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 2718*g**3 + 12*g + 2713*g**3 - 5437*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87287219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -48\/7, 1\/4, -96.8, -2, -0.3, -7, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15*x - 57. Suppose -51 = -5*j + 3*n, 2*j - 5*n - 21 = -j. Let p be o(j). What is the highest common divisor of 82 and p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -27\/11, 1\/5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155\/2 + -515\/6. Let k = 19\/28 + -473\/140. What is the common denominator of k and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1051680)\/(-3130)*((-10)\/60)\/((-1)\/(-2))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9995\/15 + (-2)\/(-15)*5.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -22, 37, 4, -3 in ascending order.\nAnswer: -22, -3, -1, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {a: 4, z: 5, l: 1, i: 3, d: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -23. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.112144238 to three dps.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(8\/(-40)) + 112\/(-22). Which is the fourth smallest value? (a) -3\/5 (b) m (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8932 (base 13) to base 6.\nAnswer: 224334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*g - 4*g + 12832. Let v = g + 3117. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-36)\/g*g)**(8\/13)*g*g**(-1\/17)*g*g**33\/g)**(1\/15) assuming g is positive.\nAnswer: g**(521\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 4*r - 4. Suppose 9*l = 7*l + 12. What is the units digit of f(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -24117019.\nAnswer: 4\/24117019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402.58 rounded to the nearest ten?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 8. Calculate the remainder when 15 + -1 + 4 + -6 is divided by g(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13142.1*-145.9\nAnswer: 1917432.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**3 - 9924*g**2 + 197280*g - 984400 = 0. What is g?\nAnswer: 10, 2461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, 16217, 43369, 81379?\nAnswer: 130247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = y. Let f = y + -3. Calculate the remainder when 13 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -11.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:55 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/131229 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2. Let s(d) = -4683*d. What is w(s(k))?\nAnswer: -65791467*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5533749 from 0.27.\nAnswer: -5533748.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 6*f + 15. Let k be o(-5). Solve -k = 2*w - 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*522968.\nAnswer: -15689.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2674)\/(-1146)*6\/(-14)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 29*d**8\/168 - 5*d**6\/24 + 2*d**4\/3 + 47*d**3\/3 - 4175*d**2. What is the second derivative of x(g) wrt g?\nAnswer: 1160*g**3 - 150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a**2 + 384*a**2 + 1634*a**2.\nAnswer: 2057*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4001?\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x + 27 = 0. Suppose 0 = x*f - 13*f. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.41 - -28595?\nAnswer: 28597.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 251364, 2 in increasing order.\nAnswer: -20, 2, 251364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 46 + 74 = 0. Suppose -6*n = -n + a. Let i(c) = 2*c**2 - 7*c - 9. Let q(w) = -3*w**2 + 7*w + 9. Let z(h) = 4*i(h) + 3*q(h). Calculate z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*o = -1717, v - 20*o = -19*o + 570. What is the remainder when v is divided by 63?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 2*q - 2 - 2*q)*(-2 + 1 + 7)*(0 - 1 + 2).\nAnswer: -6*q**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + (-510)\/(-84))\/(2\/8). Which is the third smallest value? (a) 0.02 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.51 + -0.01. Let m be 2 + -3 + 36\/42. Which is the third biggest value? (a) f (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 8:36 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 34100, 3, -1, 5 in descending order.\nAnswer: 34100, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2160342 divided by 1401\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16 - 24104321.\nAnswer: -24104321.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, n: 2, o: 7}. What is prob of sequence on?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {o: 1, e: 2, r: 11}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4105884590.\nAnswer: 2, 5, 31, 13244789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r + 47. Let k be y(-4). Let w = 66 + -99. Let f = k + w. Solve 4*v = f*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + (sqrt(500) + 3)**2 + 0.\nAnswer: 70*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10223003110 (base 4) to base 5.\nAnswer: -303144131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 6*m**2 - 3*m + 4. Suppose 2*c = -2*r + 22 - 4, c = -3*r + 15. Calculate n(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 3*c**2 + 4*c + 1. Let n be g(4). Suppose n = -3*d + 19. Suppose d*b - 107 = 181. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242968229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2484 divided by 828?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**23\/y)\/y**(-3\/22)*y**(-9)*y**(-22) assuming y is positive.\nAnswer: y**(-195\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0263 - 0.1?\nAnswer: -0.1263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-4)\/8*-4. Let z(s) = -s**2 - 3*s + 1. Let f be z(-3). What is the biggest value in x, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 20 + 10 = -9*c + 13*c, 6*r - 78*c - 100*c + 1436 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 7*s + 8. Let z be (-4)\/(-2*1\/4). Let y be u(z). Let r = 2 - 0. Solve y = -4*k - 4*v + 10 - r, 0 = 4*v + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (645 + 74*f - 645)*(-2 + 2 - 5 + (3 + 10 - 1)*(4 - 4 - 2)) to the form s + y*f and give y.\nAnswer: -2146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6637.8 + -6638. What is the fourth biggest value in -1\/3, r, -44, -4\/3?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/9 (b) 2\/167 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166427023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((-20466)\/(-12))\/(-9). Let l = -574 - k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 153 and -1746?\nAnswer: -267138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -291, 12, 496, -2 in descending order.\nAnswer: 496, 12, 0, -2, -4, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 8. Give n(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*z + 1 + z + 1 - 1 + (2 - 2 + 2)*(-2 + 2*z + 2) + 2*z - 3 + 3 + 2 + z - 2 + (-4*z + 3*z + 0*z)*(0 - 4 + 3) + (5*z + z - 2*z)*(2 + 0 - 1).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is da + -20?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 9 (c) 1\/7 (d) 5 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:43 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 5*u = 1328. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = -4*l + 15, 3*l - 2*t - 15 = 0. Suppose l*b + b = 1484. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -287 at most -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*j**3 - 47*j**3 + 27*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -2*y**4\/3 - 521*y. Let b(k) = 65*k. Give b(p(x)).\nAnswer: -520*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**3 - 3*l**2 - 3*l + 3. Let x be -7*5\/(-35) - -1*2. Let h(i) = -14*i**3 + 16*i**2 + 16*i - 16. Calculate x*h(v) + 16*s(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bewbfeee. What is prob of picking 1 w, 1 b, and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433 + 3062 = -108*m - 2555 for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q + 12 = 0, -5*q - 125 = -5*g. What is the remainder when ((-279)\/(-12))\/(9\/24) is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1, 14\/1499 in descending order.\nAnswer: 1, 14\/1499, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**5\/6 + 5*t**4\/3 + 67*t**3\/6 + 58*t**2\/3 + 10*t = 0.\nAnswer: -2, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 - 5*f + 5*f + (2*f**2 + 4 - 4)*(3*f**2 + 0*f**2 - 4*f**2) + (-3*f**3 + 3*f**3 + f**3)*(-4 - f + 4) + 26*f - 26*f - 2*f**4.\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-184.\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -12*h**5 - 3*h**4 - 11*h**2 - 3*h - 3. Let j(c) = c**5 + c**4 + c**2 + c + 1. Let y(m) = -3*j(m) - s(m). Find the third derivative of y(v) wrt v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1001 = -1207. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -7\/180 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*7*(-3)\/(-6). Let c = -22 - s. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**4\/4 - v**3\/3 + 4*v**2 + 5*v + 322. What is the remainder when n(-4) is divided by 1*2 + (15 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 13*p - 8*p - 2*x, 4*p - 3*x = 14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/30)\/(42\/(6426\/(-1139)))?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*u = 107*u - 4. Suppose 1032 = u*i - 1588. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252781337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -z - 2*z. Is ((-2)\/z)\/((-6)\/(-630)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 3*f**2 - f**2)*(0*f - f - f) - 2*f**3 + 5*f**3 - f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**3 + a**2 + 3*a - 2. Let m be z(-3). What is the units digit of (3\/6)\/(1\/m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 - 42*g**2 - 4*g + 86. Calculate t(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491925.\nAnswer: 5, 83, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -26. Let d be (13\/((-39)\/27))\/((-6)\/4). Suppose d = 57*s - 54*s. Solve -z + 4*z = b + j, s*b - 5*z = -25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -1) + -3 - -324. List the prime factors of (1\/(-3))\/((-9)\/q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b (base 14) to base 9\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - 94. Let y be (4\/3)\/((-52)\/r). Suppose p + 25 = 5*u, y*p = u + 2*u - 15. Solve -3*x - 27 = -3*v, u*v - 6 - 23 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-18)\/s**31 assuming s is positive.\nAnswer: s**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkh when three letters picked without replacement from hkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 24*u**2 - 1129*u - 1104.\nAnswer: (u - 48)*(u + 1)*(u + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*a - 45 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 1357?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2707 + -1719. What is the greatest common factor of 304 and o?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 0*c - 16*c + 16 + 7*c - 15 + 3*c. Let s(g) = -g + 1. Calculate -3*s(j) + x(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2169186, 2169269, 2169422, 2169657, 2169986?\n\"Answer: 2*c**3 + 23*c**2 + 2169161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-2)\/(-18))\/((-1)\/6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*((-15)\/9)\/5. Suppose -3*n - y + 4 = 0, 0 = s*y - 7*y - 10. Let t = -2 - -2. Solve t = -0*q - q + c + 5, -q - n*c = -2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwt when four letters picked without replacement from wdtd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a factor of 9665651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 1. Suppose 5*r - 28 + 8 = 0. Suppose -m + 2*a = 3, r*m - 7*a = -2*a. Let d(b) = 2*b**2 - 5*b - 5 - 5 - m*b + 0. What is -d(n) - 12*q(n)?\nAnswer: -2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r - 105 = 20*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 200*p**3 - 420*p**3 - 4*p**2 - 5*p + 5 + 221*p**3. Let c = 42 + -37. Give a(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, x: 8, p: 2, k: 2, i: 5}. What is prob of sequence ppix?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 2:38 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -383424 divided by -2?\nAnswer: 191712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6201 - 6152 - (-1 + (-2 - -10) - (-3 - -5)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13634336*-7.\nAnswer: -95440352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2372 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3661 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*v = 15, 24 = -2*r - 36*v + 31*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 759155398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/21 - 10\/(-35). Let b be (-3)\/j + 0\/9. Sort -5, 2, b.\nAnswer: -5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) -0.11 (c) -1174 (d) -1\/2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36789*h + 84 - 66161*h + 50852*h - 82 - 169513*h.\nAnswer: -221611*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -36*w - 36. Let k(m) = -4*m - 4. Let f(v) = 28*k(v) - 3*p(v). Let d be f(-1). Is (d\/(-6))\/4 + 5638\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1082531.88 to the nearest ten thousand.\nAnswer: 1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10.3. Let j = -0.3 - n. What is the closest to 0 in -2\/19, -2\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 29.69 (b) 4 (c) 0.5 (d) 2\/11 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -7*b**6\/6 - 16*b**5\/5 + 129*b**4\/4 - 158*b**3\/3 + 14*b**2 + 24*b - 1511. Let r(q) = 0. Calculate q.\nAnswer: -6, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/122 and -119\/20.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*k + 69*c - 64*c, 0 = 5*k + 3*c - 76. Calculate the remainder when 262 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 20\/3*t**2 + 2\/3*t**3 + 50\/3*t.\nAnswer: 2*t*(t + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1940 + 3470. Round h to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 52711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 4*j + 11. Let m be f(6). Let d = 67 - m. Let z be ((-8)\/36)\/(3\/9). Which is the third smallest value? (a) d (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2688)\/(-180) - 15)\/(177\/45 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 53*u**4\/4 + u**3\/3 - u - 22. Let h(b) = 2*b**2 + b. Let a be h(-1). Is s(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11310201 + -30?\nAnswer: 11310121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + -5.96. Let w = t + 5. Let l(x) = -x**2 - 8*x + 6. Let z be l(-9). Which is the third smallest value? (a) z (b) w (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 15*h**2 - 3*h. Suppose -g - 5 = -6*l + 8*l, 4*l - 4*g + 28 = 0. Does 42 divide r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455256453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -161, -157, -137, -89, -1, 139?\n\"Answer: 2*h**3 - 4*h**2 + 2*h - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038109731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**3 + 4*n + 3. Let m(t) = -2*t**3 - 7*t**2 - 6*t - 3. Let l be m(-2). Let w(u) = -7*u**3 - 4*u - 4. Give l*w(q) - 4*s(q).\nAnswer: -3*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**4*t**3 - 109*f**4 - 90*f**3*t**3 + 4*f**2*t**3 + 2*f**2*t**2 - 2763*f**2 wrt f?\nAnswer: 72*f*t**3 - 2616*f - 540*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4+1066485554660\nAnswer: 1066485554664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 8*q**2 + 2*q - 9. Suppose 0 = 4*y + 10*y - 112. Calculate o(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 15*m**2 - 35*m - 19. Let o be q(-17). Let x be 244 + (-6)\/(-4 - o). Suppose 0 = 6*d - 23 - x. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -11 + 31 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2 (c) -40\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:02 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26, -22\/2983, 1?\nAnswer: -22\/2983","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1985*g + 150846 = 448*g for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -227*y - 35*y - 524. Which is the closest to 0.1? (a) 0.5 (b) -5 (c) y (d) -11.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -81*r + 204. Let f be c(2). What is the greatest common divisor of 70 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -2, 77, 248, 541, 986, 1613, 2452?\n\"Answer: 5*n**3 + n**2 - 21*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 13*s**2 - s. Determine g(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**5\/60 - c**4\/6 - 5*c**2\/2 - 5. Let s(l) be the second derivative of w(l). Let q be s(5). Solve -k + 2*k = q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -64ded - 40?\nAnswer: -64e3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 + 132. Suppose -38\/3*u**2 + 12*u**4 + 8\/3 - 2*u**o + 0*u = 0. Calculate u.\nAnswer: -2\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.96 * -1221951\nAnswer: 17058435.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(((sqrt(48) + sqrt(144)\/sqrt(3) - sqrt(48)) + sqrt(48))\/sqrt(6)*5)\/(sqrt(36)\/(sqrt(9)*-1) - (sqrt(28)\/(2*sqrt(7)) - sqrt(4))).\nAnswer: -60*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(77) - -1*sqrt(77)) + sqrt(77)) + sqrt(77)*-2*-5)\/((sqrt(2800)*-2 + sqrt(28))\/(-1*sqrt(324))).\nAnswer: 225*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(49\/(-24) - -2). Let o = q - -113. Calculate the remainder when o is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167030, 334134, 501396, 668894, 836706, 1004910, 1173584, 1342806?\nAnswer: 1512654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 f when three letters picked without replacement from {k: 3, f: 12}?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8*p - 27. Let y be t(-4). Solve -2*n - 3 = -9, 2*v - 25 = -y*n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1315 - -1349. Let m = 7 + -5. Suppose -3*y = -m*s + 49, 2*s + y = -2*s + 63. What is the greatest common divisor of s and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*z + 5099466 = -o, -2*z + 8499098 = -5*o. Let h = -123722 + -176096. Let x = h - o. What is x rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(-2*sqrt(6)))**2 + sqrt(204)\/(sqrt(24)\/sqrt(2)).\nAnswer: sqrt(17) + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 6:50 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 882233281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/6179746 and 50\/3.\nAnswer: 18539238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*h = 0, 2*t + h - 42 = 13. Let r = 6 + -3. Let l = 2.96 - 1.96. What is the fourth biggest value in -4, r, t, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 5*m**4\/4 + 13*m. Let j(r) be the first derivative of -4*r**3\/3 + 13. Determine j(t(z)).\nAnswer: -900*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 46*z + 114. Let g be k(-17). Is -669 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 8. Let o(t) = -2 - y*t + 2*t - 2*t + 5*t. Calculate o(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 1.98, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 12*u**5 - 14*u**2 - 33*u**3 - 29*u**4 - u**2 - 2*u - 5*u**5 - 16*u**5 = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3442, 6933, 10424, 13915?\nAnswer: 17406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((0 - 2) + 11 + -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 9, -3, 5\/3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 7*x - 60. Does 14 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/95*15\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 590493*k.\nAnswer: -590493*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.177 less than -9549?\nAnswer: -9548.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7 = 2*x + 4, 0 = -x - 4*v + 6. What is the third biggest value in x, -127, -1?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3620*j - 1738 + 1738.\nAnswer: 3620*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 573*t + 36. What is the thousands digit of c(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttu when three letters picked without replacement from innutunutnitn.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 15555, 2\/13, 8, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*12*(-4)\/(-168).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = 35*r - 387 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from {c: 2, d: 8}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i. Let a = 126 - 126. Let c(y) be the second derivative of 0*y**3 + a*y**2 + 0 + 4*y - 1\/6*y**4. What is c(g(d))?\nAnswer: -98*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - ((sqrt(156)*1 + sqrt(156))*-5 - sqrt(156) - sqrt(156)) - sqrt(156) - 4*3*sqrt(156))\/((sqrt(300) - (5*-1*sqrt(300) + sqrt(300)))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 954124809 and 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (6 - 7) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 6*k - 3 - k**3 + 4*k.\nAnswer: -k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {h: 2, x: 4, i: 1, q: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1328*g*y**2 - 303034*g + 127*y**2 wrt y.\nAnswer: -2656*g*y + 254*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34400345 to the power of 1\/2, to the nearest integer?\nAnswer: 5865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 e when four letters picked without replacement from qeeyeqqqeeqqyqyeqyq?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720 and 682800?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1046268 + 154027 = -3*h - 46*h. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**3 + 64*a**3 - 1127699722*a + 1127699722*a - 2*a**3.\nAnswer: 49*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let k(d) be the first derivative of 2*d**3\/3 + 2. Give k(x(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 - 7*t\/3 + 2.\nAnswer: (t - 6)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*n - 3, 28*k + 21 = 5*n + 26*k. What is the highest common factor of n and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -257 + 280. What is the nearest to -1 in -4, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 7*b**4\/24 - b**2. Let g(f) = 6*f + 17 + 10 - 38 + 11 - 19*f. Determine g(y(x)).\nAnswer: -91*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/11 - 575320*t**2\/11 - 170426144*t\/11 - 12614776448\/11.\nAnswer: 2*(t - 287956)*(t + 148)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 7. Suppose -5*g + s = 5*c, 5*g - 38 = -2*c - 11. Find the common denominator of -19\/22 and c\/(-5) - 9\/60.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5 - 12 = -3*t, -5*t - z = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6\/179 - -18043\/1074. Let q = -15746 + 188801\/12. Calculate the common denominator of z and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4820642964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 3*q + 7. Let c be t(5). Let d = 16 - 17. Sort 5, d, c in increasing order.\nAnswer: c, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -533 + 534. Which is the third biggest value? (a) -5 (b) -2\/3 (c) n (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 10 = 11*x. Let u be 2\/1 + x\/1. List the prime factors of (u + -1)*(0 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 72 + 57 = 7*v. Solve k = -2, 0 = 3*p - v*k + 10 - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -725\/13, 1\/17, 0.2, 0.12, 1?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14842772 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 - 13*j**2 + 130*j + 1412. Let c be f(-10). Calculate the greatest common factor of 296 and c.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*l + 57 + 318. Calculate the remainder when 114 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 1)**2 + -1.\nAnswer: 14*sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.22, 0.17 in descending order.\nAnswer: 0.22, 0.17, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 11*j**2 - 1 + 2 - j**2 - 7*j**2. Let b be l(2). Let t = 24 - b. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 - 5*r**2 + 5*r**2 + (0*r - 5*r + 3*r)*(-2*r - 2 + 2) + 4*r**2 - 6*r**2 + 0*r**2 - r**2 + 0 + 0.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 5*h - 15, 21 = 3*s + 4*h. Let q(t) = -4*t - 9 + 2*t - t**3 + s*t. Let m(y) = -y - 6. Let w be m(-6). What is q(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7363281*m*x**2 - 4*m - 3386*x**2 + 51*x - 3 with respect to m.\nAnswer: 7363281*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 2*u**2 - 6 + 2*u + 2*u**2. Let y be ((-8)\/(-24))\/(-7 - (-186)\/27). Let g be c(y). Solve 0 = 2*t + 5*x - g - 0, -3*t + 3*x = 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, o: 8, h: 3}. Give prob of picking 2 a and 2 h.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 7631\nAnswer: -22893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(2\/3))**28*(h*h\/(h\/((h\/((h*h**(-15))\/h))\/h*h)))\/h*h**(6\/7)\/h assuming h is positive.\nAnswer: h**(1901\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5410*f + 5413*f. Solve -f*w = 36 - 36 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f + 6. Let w(a) = -4*a - 3 + 2 + 2*a + a. Let q(i) = -n(i) - 6*w(i). Let z(u) = 2*u**2. Calculate q(z(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -128.39 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -5*t**3 - 5*t**2\/2 + 11*t - 1471. Let l(o) = -4*o**2 - o + 3. Calculate -6*g(w) + 22*l(w).\nAnswer: 2*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 311176 and 1746?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 4107*j**2 + 8221*j + 12327.\nAnswer: -(j - 3)*(j + 1)*(j + 4109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18288 and 3741840.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 5*t**2 - 14*t - 38. Let k be v(-6). Solve 5*c + k = 0, -2 = -4*y - 3*c + 2*c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -4*h**5\/15 + 4*h**3 + h**2. What is the derivative of o(s) wrt s?\nAnswer: -32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -3 in descending order.\nAnswer: 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 7:30 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o. Let h be u(-2). Let w(t) = t**2 + 166*t - 74*t - 21 - 90*t. Let f be w(h). Solve 0*s = -f*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.2 (b) 4 (c) -3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 462874844*l**6 + 443551*l**2 - 54*l?\nAnswer: 55544981280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*y + 20, i + 3*y + 0 = 5. Solve 5*j + 0*j - i = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 4*w + w)*(-36*w**2 - 10*w**2 + 11*w**2) + 3*w**3 - w**3 - 12*w**3 in the form o*w + h*w**3 + b + m*w**2 and give h.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 2*p - 65 + 71, -4*z + 10 = -3*p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**3\/6 + 48*q**2 + 46*q. Let l be n(24). Calculate the greatest common factor of l and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/4243 and -24\/4243.\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84949, 339808, 764573, 1359244, 2123821?\nAnswer: 3058304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -36.\nAnswer: -36, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 187769137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/10 + (-3)\/(-2). Suppose -h*t - 5*g = -0*g - 240, -4*t + 198 = g. What is the greatest common factor of t and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3363952 and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhh when three letters picked without replacement from oaaohhoaooohoaouha?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**3\/3 + 12*f**2 + 2*f - 6022. What is t(21)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/16*-4 + -2. Let a be ((-42)\/196)\/(-6*p\/(-8)). Let d(x) = x**2 + 5*x - 3. Let m be d(-5). Is m at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**6\/3 + w**3 - 2. Find the third derivative of y(c) wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 13*k**2 + 13*k + 16. Let n be c(14). Solve 4*x + 5 = 5*b, x = n*b - 1 - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6101*d**3 - 1. Let c be (-3)\/1 + (3 - 1). Let u be n(c). What is u rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22\/29 (b) -224 (c) -0.0363\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 0.121?\nAnswer: 2.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*t = -46*t + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.058, 4, -0.3 in increasing order.\nAnswer: -0.3, -0.058, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 7*s = -10*s - 9, 0 = -3*k - 5*s + 1. Let m(a) = a + 1. Let l(b) = 4*b. Calculate k*m(g) + l(g).\nAnswer: 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25982 + 40724 = 1003*l + 1048*l - 38584 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaq when three letters picked without replacement from {k: 3, q: 6, z: 3, a: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 58*y**2 - 72*y - 2236. What is m(56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1617*u + 1609*u + 32 - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*f**3 + 11*f**2 - 1265 wrt f.\nAnswer: -21*f**2 + 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, 16, 71, 180, 361, 632, 1011, 1516?\n\"Answer: 3*x**3 - 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5*n + 40 = 0, 60 = -18*t + 22*t - 3*n for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/149448 and 97\/170524?\nAnswer: 13300872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -77*m**2\/2 + 2627*m - 5100 = 0. What is m?\nAnswer: 2, 5100\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w - 4. Suppose -x - 5*i - 197 = -10*i, 0 = -x + 2*i - 188. Calculate the smallest common multiple of (-4)\/(-14) - x\/49 and v(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(-6)\/36 + 2\/3. Let o be 0*(0 - 2 - c). Solve o = -3*l + l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(2\/31))*h*h)\/(h*h*h**(-23))*(h*h**(-6))**(-40))**(1\/50) assuming h is positive.\nAnswer: h**(1383\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbbb when four letters picked without replacement from {n: 12, b: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5536 + -5536. Let g(a) be the second derivative of -7\/6*a**3 + 0*a**2 + 0 + 7*a - 9\/20*a**5 + z*a**4. What is the second derivative of g(c) wrt c?\nAnswer: -54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 8*m + 61. Let b be s(-13). Let a(v) be the second derivative of v**4\/12 - 2*v**2 - v. Calculate the remainder when 45 is divided by a(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.19 + -0.99. What is the second smallest value in r, -62, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**5\/60 - 3*x**2\/2 + 3. Let h(j) be the second derivative of i(j). Let z(c) = -4*c. What is z(h(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/5)\/(-18)*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/2)\/h))**(1\/4)*(h**(2\/5))**(-30) assuming h is positive.\nAnswer: h**(-93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7998637 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2175, -5625, -9085, -12555, -16035?\nAnswer: -19525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/526 in 0.14, -1\/19, -0.4?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 523 (b) -24 (c) -0.1 (d) 21 (e) 1 (f) 5 (g) 5\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12457.268 - -122393976.732. Let t = 122406439.9999959 - r. Let w = t + -6. What is w rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 513 + 287a9?\nAnswer: 29211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25192931 and 32543.\nAnswer: 4649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 847 - 845. What is the second derivative of -4*p**5 - 33*p**3 + 51*p**3 + 18*p**o - 18*p**3 + 203*p wrt p?\nAnswer: -80*p**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 37.4. What is the second smallest value in -2\/9, 1, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*o**3 + 3*o**3 + 11*o**2 + 100*o**2 - 380*o + 60 + 4*o**2.\nAnswer: 5*(o - 2)*(o + 6)*(6*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 197 times 5?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-5 + 0) + 8. Let z be 319\/348 - 3\/m. Which is the smallest value? (a) 3 (b) 2\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1707 rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 4. Let v(q) = -5*q - 2. Let i be (178\/445)\/((-4)\/10). Let w(o) = i*v(o) - 4*t(o). What is w(-19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/7)\/((1\/35)\/((-23)\/(-230)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n. Suppose 5*c - 4*c - 2 = 0. Let v(j) = j - j + 3*j - c*j. Determine v(o(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i - 1. Let b(m) = 5*m + 1. Calculate -5*b(r) - 6*o(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15669.13 + -15779. Let s = y - -112. Let x = s + -2.2. Is x <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 1. Let y(s) = 4*s + 117. Calculate 3*l(z) - y(z).\nAnswer: -z - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*d - 4*s, -5*d - 5*s + 52 = -8. Solve -d*j + 4 = -9*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153988 and 627616591.\nAnswer: 2510466364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.13 + -9.35. Let z = -16 + 16.72. Let y = x + z. Which is the biggest value? (a) 0.7 (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/61, 0.2, 7, 1\/15 in ascending order.\nAnswer: 1\/61, 1\/15, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2351 is divided by 861.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 28 and -4.5126 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 10. Let y(r) = r**3 + 4*r**2 + r - 4. Let d be 1 + -1 - 12\/4. Let j be y(d). Solve 0*h - w = -j*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 + 3*i**2 - 7*i**2 + 8*i**2 - 6*i + 2. What is l(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {t: 3, i: 5, w: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 1 - (336 - 309)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -873\/17 (b) -3 (c) -2\/13 (d) -0.09 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 6*h**2 + 8*h + 8. Let x be l(-7). What is the common denominator of ((-15)\/63)\/(1\/16) and 118*(-5 - -11)\/(-36)*x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 12:20 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 + 14*r**2 - 11*r - 6. Calculate n(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5577.9798 * -5.\nAnswer: -27889.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2 + 10*f + 24. Let a be c(-6). Let l = a - -232. Calculate the remainder when 61 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 64080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/((-7)\/1715*-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 421737571 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 941592475 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -2. Let u = -7 + g. Is -2 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -1\/9*d**2 + 7 + 1\/18*d**4 + 2\/27*d**3 + 0*d - 2\/45*d**5. What is a in p(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 - -35332?\nAnswer: 35443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*c + 3 + 0*c)*(0*c + 4*c - 3*c + (-3 + 3 - 2)*(-2*c + c + 5*c)).\nAnswer: -14*c**2 - 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, k: 1, i: 10}. What is prob of picking 1 k and 2 i?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 5)\/((-1)\/(-1)). What is the units digit of -1*x*-4 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/3)\/(((-1910)\/1528)\/(15\/4))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 21230133223012?\nAnswer: -21230133223011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 8 = 20. Let r(s) = 152 - 305 - s**2 + 151 + 3*s. Let p(x) = 2*x**2 - 7*x + 4. Let g(c) = -3*p(c) - 5*r(c). Give g(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090 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 t(u) = -3*u + 3. Let n(h) = h - 7. Let j(d) = -d. Let c(i) = -5*j(i) + n(i). Suppose 0 = -31*x + 61*x - 90. What is x*c(f) + 7*t(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (46 - (-17 - (29 + -14))) + -1\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from iiiiiipri.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqkp when four letters picked without replacement from qrkqkkpqqcqqcqpqrqq.\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 678.9815 nanometers in millimeters?\nAnswer: 0.0006789815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 169.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92420, -185000, -277726, -370598?\nAnswer: -463616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.30233 + -0.37\nAnswer: -0.06767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63.167 - 0.167. Let o = -62.9 + y. Let a be 1\/(-4)*5 - -1. What is the closest to o in -1, 4\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4214014 (base 6) in base 3?\nAnswer: 101101022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49001 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9069*q**2 + 3*q - 3196. Let m(g) = 9070*g**2 - 4*g + 3137. Let f(a) = 4*k(a) + 3*m(a). Differentiate f(t) wrt t.\nAnswer: -18132*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44320859 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukwwwuuuwkuggugkukug. Give prob of picking 2 g, 1 u, and 1 k.\nAnswer: 64\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/140)\/(2\/10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 12) to base 14.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -185 greater than -247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2214*p + 25689 + 18591 = 0 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -213168240 - -213168235.06828754. Let r = 0.93171216 + b. Let p = 4 + r. What is p rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222 - 221?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 381 - 376. Let a = -8 + 10. Calculate the highest common factor of a and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 3*o - 35, l - 44 + 98 = 10*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*z + 5*z + 22, 0 = -3*g + z + 12. Let l be 91\/28 + -3 - (-3)\/(-4). Put l, -1, g in decreasing order.\nAnswer: g, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 39, 96, 175, 276?\n\"Answer: 11*s**2 + 2*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100000100001101111 (base 2) to base 11\nAnswer: -9110a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u**2 - 411*u - 17351. Calculate q(67).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:30 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 13608 = 17*b + 30*b. Solve -b = 147*d - 120*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*c = -88, 102 = m - 4*c + 18. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 divided by -24?\nAnswer: -1147\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/2 of a millimeter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3026 = 503*r + 3010 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, v: 5, r: 3, z: 7}. What is prob of sequence zvzz?\nAnswer: 5\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142327*o**2 + 849*o?\nAnswer: 284654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -452785.\nAnswer: 452785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2810 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -40139.9 times -129?\nAnswer: 5178047.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -187\/122 - -2\/61. Let g(p) = p**3 - 7*p**2 + 7*p - 5. Let a be g(6). What is the third smallest value in a, -3, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1580523, -3161045, -4741567, -6322089, -7902611, -9483133?\n\"Answer: -1580522*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -234540 + 234540 - 11*a + 44*a**2 in the form c + o*a + i*a**2 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + k + 23. Let d be -4 + (1*-4)\/(-2). Let m be (-2 + 2)\/(4\/d). What is the remainder when f(m) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35953607765 - -35953607481.99999839. Let l = 283 + x. Round l to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 2*g**2 + 14*g + 19. Determine t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134805759 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*b = 510 - 502, 3*w = 4*b + 16. Solve -6*u = -5*u, w = 2*m + 4*u + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186006?\nAnswer: 2, 3, 29, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 = -6620622*a + 6620638*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 1 = -b, -2 = -4*b + 13 + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v - v)*(5*v**2 - 5*v**2 + 5*v**4) + 13*v**2 + 2*v**5 - 13*v**2 + 6*v**4 - 6*v**5 - 6*v**4.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -539380664581 + 13.\nAnswer: -539380664568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2 + 7 + -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131735 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3\/9 - 12388*s**2\/3 - 4062928*s\/9 + 5615488\/3 = 0.\nAnswer: -18472, -114, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**3 - p**3 - 2*p**3)*(6 - 1 + 3)*(-2 - 2 - 4)*(3 - 3 + 2) in the form f*p**3 + h*p**2 + u + r*p and give f.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.1 + 7. Let k = 1\/19 + 13\/114. Which is the closest to g? (a) k (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12 = -136. Let q = i + 71. Let k = 16 + q. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 4*b - 6*b)*(196*b + 157*b - 56*b + 26*b) to the form a*b + c*b**2 + d and give c.\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53030741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 5, -46, -120 in decreasing order.\nAnswer: 5, -46, -60, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4994*d + 105408 + 293229 - 66255 = -52156 for d.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 69, 185, 407, 771?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 2*x - 42. Determine h(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1635*m**2. Let p(b) = b**2. Determine p(g(o)).\nAnswer: 2673225*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02156 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/316359 or 1?\nAnswer: -5\/316359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -162\/5 + 2\/5*l**5 + 132\/5*l**3 - 26\/5*l**4 + 378\/5*l - 324\/5*l**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 6*j - 1. Let i be (-1)\/(-2)*(0 - 14). Let b be p(i). Let n = 14 + b. What is n rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 35 = -3*c, 4*c = -31*v + 32*v + 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(243)*-3 + -2 + -1*sqrt(243))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1\/2 (c) -24\/11 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7609 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, e: 1}. What is prob of sequence xe?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11224623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 34*k + 9. Give h(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuuuuuuuuuuuu. What is prob of picking 3 u?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s. Suppose p + 4 = -5. Calculate the least common multiple of 6 and f(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -14*n**2 + 20*n + 49. Let q(u) = 5*u**2 - 7*u - 16. Let m(r) = 6*k(r) + 17*q(r). Let z be (-10)\/45 + (-10)\/(-45). What is m(z)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.71 + -2.51. Let h = 1.9 + f. Sort -0.2, h, 4, 7 in ascending order.\nAnswer: -0.2, h, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 13680.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 5 (c) -1\/6 (d) -22890 (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7281 and -139?\nAnswer: 7142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-56)*42\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 23, 28, 17, -16?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(11)*3*4 + (-2 + -1 + sqrt(11))**2 - (((5 + sqrt(275)*-2)**2 - (3 + (sqrt(275)*1 - sqrt(275)))) + 5).\nAnswer: -1105 + 106*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**3 - 13*w**2 + 9*w + 9. What is o(5)?\nAnswer: -1271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/(j**(-15\/2)*j))\/j)\/j)\/(j*j**19*j)*((j\/(j*j**(-24)\/j))\/j)\/j*j**24*j)**(-7\/8) assuming j is positive.\nAnswer: j**(-469\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -193 times -27.9\nAnswer: 5384.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**3*t**2 - 9*q**3*t - 125*q**3 + 15*q**2*t + 3*t**2 + 6*t - 1 wrt q?\nAnswer: 12*t**2 - 54*t - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47294102 is divided by 23647044.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 3500?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -15*m + 3. Let r(x) = 7*x - 2. What is 3*l(p) + 5*r(p)?\nAnswer: -10*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -249770 - -3749770. Round q to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -360*s**4 + 358*s**4 - 8 + 0*s**3 - 3*s**3 to the form p*s**3 + v*s + z*s**4 + w*s**2 + u and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcp when three letters picked without replacement from {p: 1, c: 1, e: 4, z: 4}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22630227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d + 37. Suppose -21 = -7*t + 63. Suppose 4*v = -3*i - i + 48, v = 5*i + t. Let h be b(v). What is the highest common factor of h and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23103137479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 15*c**2 - 887*c + 7637. Calculate b(9).\nAnswer: 869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + 1. Let f = -0.05 + 0.39. Let c = f - -0.06. What is the closest to 0.1 in -1\/3, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 2*a**2 - 5*a**2 + (2*a - a - 3*a)*(-3*a + 7*a - 2*a))*(-5*a - 4*a - 18*a).\nAnswer: 162*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-9)*n*n**(-2\/29)\/n*n*n**(-6)*n\/((((n\/n**(-1))\/n)\/n)\/n*n*n) assuming n is positive.\nAnswer: n**(-379\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61*q**3 + 2*q - 4294?\nAnswer: -183*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9347 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -45*v**4 + 21*v**3 + 18*v + 153. Let r(l) = 11*l**4 - 5*l**3 - 4*l - 38. Let t(p) = -18*r(p) - 4*x(p). What is the derivative of t(m) wrt m?\nAnswer: -72*m**3 + 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppx when four letters picked without replacement from {p: 4, x: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37605383261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.8*2879.\nAnswer: -19577.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 - (-9 - -132) - ((0 - 8) + 2 + -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8892, 0.4, 2\/19, -41?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -316776?\nAnswer: -316776.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149.9 + -29.9. Let u = l + -120.8. Let d = u - -0.4. Which is greater: 6 or d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**4\/9 - 4*d**3\/9 - 2*d**2\/3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.8 - 100.05. Round m to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 1846 + 3066. Let r = f - -1944. What are the prime factors of r?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q - 9. Let p(t) = -6*t + 10. Determine 2*p(v) + 3*x(v).\nAnswer: 3*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1080830 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123\/2 - 5039\/82. Let d = c - 47\/123. What is the biggest value in 4, -2\/15, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(7 + -13 + 3). Suppose u*r = 6, 8*g - 548 = 6*g - 2*r. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32824*w = -65600*w + 32843*w - 6432 for w.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/9)*z*(z**(-2\/3)*z)\/z)\/((z**(-2\/9)*z)\/z)**(2\/39) assuming z is positive.\nAnswer: z**(82\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x*x\/((x\/(((((x\/(((x\/(x\/x**(-2)*x)*x)\/x)\/x*x)*x*x)\/x*x)\/x)\/x)\/x))\/x))\/x)**(1\/22)\/(x*(x\/(x*x**(-5))*x)\/x)**12)**(2\/57) assuming x is positive.\nAnswer: x**(-526\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5038072 and 1356404.\nAnswer: 35266504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 1 - (-22 - (-2 + -3 - -2)).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 46\/10)\/1. Factor 0 + m**2 + n*m.\nAnswer: m*(5*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125124530 to the power of 1\/2, to the nearest integer?\nAnswer: 11186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:57 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {a: 1, l: 1, b: 1, n: 1, e: 2, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (110664\/(-8586))\/(80\/(-90)*2\/(-8))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8433099 to 3 decimal places.\nAnswer: -2.843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1745 or -1776?\nAnswer: -1776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t + t**2 + 7*t)*(-7 + 4 - 9).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 22. Solve 0 = -4*m + d*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -8\/5 - 18\/5*y**3 - 14\/5*y**2 + 8*y = 0.\nAnswer: -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/6 - 17869*f\/2 + 26803\/3 = 0.\nAnswer: 1, 53606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1287)\/(-72) - (-2)\/16. Let n be 63\/(-2)*(-48)\/k. Suppose 2*v - 2*l - n = 0, -7 = 3*l + 5. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 1\/20*m**5 + 0 - 5\/6*m**4 + 29*m + 8*m**2 - 4\/3*m**3. Is 9 a factor of o(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3788 - 3785. Solve 4*t = d*j + 20, -13*t = -10*t - j - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (424\/1060)\/(3\/(-5)). Which is the smallest value? (a) -159 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 2 d when four letters picked without replacement from dsddkdkddkddfkdfkkkk?\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3744091 or -1?\nAnswer: -2\/3744091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1, -61, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*j + 16 = 0, -r = -4*r + 4*j - 10. Suppose -30 = -2*b - 2*f, 6*f + 30 = 2*b + r*f. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23300000301 (base 4) to base 13.\nAnswer: -83b038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205 + -37. Let o be ((-177)\/d)\/(5\/(-1210)). Let n = -255 + o. Is 1 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 852*r. Let p(h) = 2*h. Give p(a(g)).\nAnswer: 1704*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(84) + sqrt(84)*-2*5 - (sqrt(84) + (sqrt(84) - -3*(sqrt(84)*-1 - sqrt(84)))))\/(sqrt(48)\/(sqrt(4)*1) - (sqrt(144) - sqrt(144)*-1)\/sqrt(12)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 20*t - 48 = 0. Suppose 2*h = -t*k + 321 + 616, -5*k + 1595 = -5*h. Is 38 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79201653 to the power of 1\/2, to the nearest integer?\nAnswer: 8900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33500 and 1500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*j - 118 = 0, -4*j - 60 = 3*f - 257. What is the remainder when f is divided by 48?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9949, 9944, 9937, 9928, 9917, 9904, 9889?\n\"Answer: -v**2 - 2*v + 9952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a + 9. Suppose 15*x + 566 = 641. Solve x*b = 2*i + 11, b = 4*i - 2*i + a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzzv when four letters picked without replacement from {y: 1, v: 2, h: 3, r: 1, z: 6, l: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14955632.\nAnswer: 2, 571, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + s**3 + 0*s**3)*(-3 - 7 + 2 + (0 + 0 + 2)*(1 + 0 - 3)).\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.4 bigger than 263.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/3 - 1 - -4. Let m(r) = -9*r**d - r**3 + 4 + 8*r + 9 + 2. What is the units digit of m(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1080 - 360. Find the first derivative of 30*m**3 - g - 2*m + 3*m + 731 wrt m.\nAnswer: 90*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1114 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -5.\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = 37*x + 88 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzvvzzv. What is prob of sequence vvzv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l - 6*l - 1 + 3. What is the units digit of p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7272106900 rounded to the nearest one million?\nAnswer: -7272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 6*g + 102, -b + 3*g - 106 + 167 = 0. Find z, given that 4\/3 + 1\/3*z - 13\/6*z**2 - 1\/6*z**3 + 5\/6*z**b - 1\/6*z**5 = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 17, 119, 347, 749, 1373, 2267, 3479?\nAnswer: 5057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 - (24 + 46 + -99).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 6996 = -46*c. Calculate the remainder when 187 is divided by c.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 take away -146556623079?\nAnswer: 146556623078.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 74*a + 7. Let z(y) = 2*y**2. Calculate z(m(t)).\nAnswer: 10952*t**2 + 2072*t + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-99)*6\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24701795155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -959, -4058, -9225, -16460?\nAnswer: -25763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:10 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3905*r**2. Let s(l) = 2*l - 3. Give s(t(u)).\nAnswer: -7810*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-357))\/((124\/2480)\/((-6)\/(-8))).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3 = -6*d. Solve d*v = 8*v + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -293*w + 297*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3))**(29\/2)*(u**(-4\/5))**(-3\/2) assuming u is positive.\nAnswer: u**(-423\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61117364?\nAnswer: 2, 7, 11, 61, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6970 and 25912?\nAnswer: 2202520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/55876 and -10\/237473.\nAnswer: 949892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r + 16. Let i(v) = v**2 - 20*v - 14. Let f be i(21). Let b(d) = -d + 7. Let g(w) = f*b(w) - 3*u(w). Calculate g(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 1. Let d be r(-1). Let p be 4 - (d - -2)\/(-2). Suppose 58*y - 3 = 57*y. Solve 0 = -x + p*z + 13, y*x + 21 = -z - 4*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 307 = 8. Let s = c - 28. What is the greatest common divisor of 323 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*h - 1665 = -882 + 2979. Calculate the highest common divisor of 7389 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6052 + -293.2948. Let q = w + 294. Is -34 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368401427 to the power of 1\/3, to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 21*t - 47. Let v(u) = -2*u - 1. Let r(w) = p(w) + 5*v(w). Let z be r(5). Solve 2*y - 3*y = 4*n - 16, -z*n - 11 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3335?\nAnswer: 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 744 and 14?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58848 less than -197.21564?\nAnswer: -196.62716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 1300.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1500 divided by 250.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 36 + 3*q**2 - 3*q**2 + q**2 - 23*q + 4*q. Let v be t(17). Solve 0 = 3*d - v*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by -27\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 8*h - 7*h + 27*h - 15*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(((q\/((q\/(q*q\/(q*q**(-2)\/q)))\/q)*q*q)\/q)\/q))\/q)\/q**(1\/5)*((q*(q**(-1)*q)\/q)\/q)\/q**3)**(3\/4))**(-48) assuming q is positive.\nAnswer: q**(1656\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 6. Find the third derivative of 7*w**6 - 2*w**5 + 7*w**2 + 2*w**o - 16*w**2 wrt w.\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*r - 9*r + 6*r**2 - 2*r**2 + 6*r**2 - 2*r**2 + (-3 + 3*r + 3)*(r + 4 - 4) - r**2 - 5 + 5 in the form v*r + h*r**2 + d and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -8*r - 4*h + 13, 2*h = -3*r + 9. Let u(d) be the third derivative of -d**4\/12 + 4*d**3\/3 + 3*d**2. What is u(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -544354809+-1.3\nAnswer: -544354810.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 1 + 2. Let r(l) = l**2 + l. Let j(c) = c**2 + 3*c + 1. Let i(t) = z*j(t) - 3*r(t). What is the derivative of i(f) wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847373 - d**2 - 847951 - d**2 + 2*d.\nAnswer: -2*d**2 + 2*d - 578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**3 + 3*l**2 + 182*l - 1. Let y(t) = -17*t**3 + 13*t**2 + 729*t - 4. Determine 26*x(w) - 6*y(w).\nAnswer: -2*w**3 + 358*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23749\/5 - -4750. What is p in q*p**3 - 3\/5*p**2 + 0 + 2\/5*p = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 9 + -64 + 17 - (-13 + 6 - 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*k + 3 = -4*c, 3*c - 2*k - 9 = 0. Solve -c*f - 2*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - y + 201, 3*j + 294 = -0*j + 3*y. Let o = j + 171. Suppose -a + 5*a = 8, -3*z = a - o. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -430, -1730, -3890, -6904, -10766, -15470, -21010, -27380?\n\"Answer: o**3 - 436*o**2 + o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-2867501)\/(-65))\/7)\/(1\/5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 11 + (98 - 100)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 4*y**2 + 23*y**2 + (y - y - y)*(-4 - 1 + 3)*(-10 - 6*y + 10).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*d - 34*d + 51*d**2 + 4 - 28*d + 0*d**2.\nAnswer: 51*d**2 + 4*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-582)\/1261*13\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -2 (c) 5 (d) -5 (e) 4 (f) 13.6 (g) -164\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5007 divided by -1?\nAnswer: -5007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) 1 (c) -0.03 (d) -5 (e) -162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 44 = -14. What is the common denominator of (2\/(-1))\/(2508\/(-1539)) and 245\/(-4)*2\/l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, t: 5, j: 1, m: 1}. Give prob of picking 3 t.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 5*m - 27, 4*h = 183*m - 184*m + 23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(77)\/sqrt(44))**2.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukkuu. Give prob of sequence kku.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21164 is divided by 7054.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 448 and 952.\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - 553\/5. Which is the nearest to 5? (a) -0.2 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - j**2 - 2*j**4 + j**2 - 2 + j - j**3 + j in the form h*j**4 + a*j + g + i*j**2 + p*j**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2123 - -140404?\nAnswer: 136261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.8221 + 0.0379. Let g = u - -0.14. Which is the fourth biggest value? (a) 0.03 (b) g (c) 0.1 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 6*w**2 - 9\/2*w**3 + 0 + 203*w + 3\/2*w**4 - 3\/20*w**5. Factor j(k).\nAnswer: -3*(k - 4)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 15*a**4 + 1 + 18*a**4 + a**2 to the form c*a**2 + t + m*a**4 + l*a**3 + s*a and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t**2 - 11*t - 35. Let b be d(-18). Suppose 34*u - 5*u = b. What is the remainder when u is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/18)\/(24\/(-288)). Let n = 44\/105 - 3\/35. Which is the smallest value? (a) n (b) 3 (c) -2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1006 = 4*d, -69*d + 68*d + 241 = h. Let q(f) = 16*f**2 + 2*f + 1. Let z be q(-4). Is z greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuhhuuhuuuu. Give prob of sequence huh.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 1, h: 1}. Give prob of sequence dh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 0. Let v = 16.9 + k. Are v and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*z + 6109, 4066 = 2*n + z + 4*z. What are the prime factors of n?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93139852\/940572 + (-4)\/162\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0 + 0)*(-1 + 0 + 0) - 2*z - 4*z + z + 0*z + 2*z + z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44 (b) -5 (c) 1\/8 (d) 14.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3504*i**4 + 202*i - 2 wrt i.\nAnswer: -42048*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 87, 95, 107, 123, 143, 167, 195?\n\"Answer: 2*y**2 + 2*y + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3683674386 to the power of 1\/3, to the nearest integer?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 26 + 8. Suppose -v - l*k + 3*k - 25 = 0, -5*v - 57 = -2*k. Let c be (9*2)\/(v\/260). Round c to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2072, -4108, -6134, -8150?\nAnswer: -10156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 1124*l**2 - 308725*l - 1571850.\nAnswer: -(l - 630)*(l - 499)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9576 and 205864316?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 17, t: 1}. Give prob of picking 1 i and 1 t.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, g: 3, q: 3, v: 4, l: 6}. Give prob of sequence lb.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -76, -0.3, 6.2, -1, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 4*g**6\/45 - 21*g**5\/10 + 16*g**4 - 308*g**3\/9 - 32*g**2 - 12*g - 61. Solve s(m) = 0.\nAnswer: -1\/4, 2, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -121435*d**2*i + 42*d**2 - 635*d wrt i?\nAnswer: -121435*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + d - 1)*(2*d**3 - d**2 + d**2) + (-37 + 3 - 21*d**3 + 19*d**3)*(5 - d - 5).\nAnswer: 4*d**4 + 34*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5821898365818+-0.2\nAnswer: -5821898365818.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1746*q**2 - 1755*q**2 + 12*q - 34*q + 3531*q**2 + q**3 in the form n + b*q**3 + p*q + w*q**2 and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 179.47 or -7709?\nAnswer: 179.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*j + 74*j - 257*j + 76*j + 36*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + x**2 + 3*x**3 + 3*x**3 + 2*x**4 - 4*x**3 + 0*x**2 to j*x + w*x**4 + o + y*x**3 + p*x**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, -157, -6.2 in ascending order.\nAnswer: -157, -6.2, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-585)\/(-2990)*(-16)\/(-252))\/((-3)\/(-63))?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**6\/120 - 217*x**5\/8 + 1177225*x**4\/48 - 7231*x. What is p in q(p) = 0?\nAnswer: 0, 1085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145 (base 12) to base 2\nAnswer: -11000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1141 + 1140. Let h be (-3)\/(-9) - (-69)\/(-153). Is h less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 5*d - 12, 2*d = -0*d - 5*c - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 351 + -40792\nAnswer: -40441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 689 and 7473739?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 113*b**3*r**2 - 4*b**3 - 6*b*r**3 + 51*b wrt r?\nAnswer: 226*b**3*r - 18*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4\/11 + 8*i**3 - 650*i**2\/11 - 2536*i\/11 - 1800\/11 = 0 for i.\nAnswer: -50, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 5*f - 32 - 23, 5*w - f - 25 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -7, -0.2, -0.25 in descending order.\nAnswer: -0.2, -0.25, -0.6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2578705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*o - 403*o**3 + 5520*o - 2 + 404*o**3.\nAnswer: o**3 + 4923*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 z when three letters picked without replacement from {b: 1, h: 1, x: 1, d: 1, q: 1, z: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 16*g = 2. Let u(v) = -2. Let b(k) = k + 4. Calculate g*b(n) + 3*u(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3336*k**3 - 1142*k**2 wrt k.\nAnswer: -20016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 17*y - 12208. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -34 (b) -18\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45151724?\nAnswer: 2, 29, 109, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(95)\/(sqrt(60)\/(sqrt(12)*1)))**2 - ((-4 + sqrt(19))**2 + -4)*3)*-5.\nAnswer: -370 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 8*b - 13*b. Let v = 16 - 17. What is the units digit of (126\/(-54))\/(v\/b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 551575 = -52425. What is k rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348042 and 1278.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 7*q - 90. Determine v(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + w. Let h(r) = 22*r**2 + 8*r. Let a(s) = h(s) - 7*q(s). Suppose 5*x - 9 = -14. Give a(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60388, -241589, -543644, -966589, -1510460?\nAnswer: -2175293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*m - 161 = 0, -2*m + 292 + 178 = 3*n. Suppose 3*p - 5*j = 331 + n, 3*j + 324 = 2*p. Let v = 31 + 9. Calculate the remainder when p is divided by v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i - 21*i - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5 + 86*o**4 + 143*o**3 - 646*o**2 - 1308*o - 360 = 0.\nAnswer: -2, -1\/3, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6720, -26841, -60346, -107229, -167484, -241105, -328086?\n\"Answer: i**3 - 6698*i**2 - 34*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -6. Let y = -24.5 + 25. Let k be 5\/((-10)\/(-12)) + (-28 - -21) + -1. Which is the nearest to k? (a) -3\/4 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(99) - sqrt(99))*1 - (sqrt(99) - (4*sqrt(99) + 2)))*1)**2.\nAnswer: 36*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.009 in -0.4, 0.5, 31085, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312632 and 6604351.\nAnswer: 52834808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -205, -442, -839, -1450?\nAnswer: -2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = -5*g. Let v be ((-69)\/(-2))\/(g\/(-2)). Suppose -5 = -o - v. What is o rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + 442. What are the prime factors of s?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jijjiiijjijijiijjiji. Give prob of picking 3 j.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 308 = -1298. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 10*c - 2. What is the remainder when 298 is divided by q(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7996, -32049, -72108, -128149, -200148?\nAnswer: -288081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/(-48)*(2\/(40\/43) + -2). What is the nearest to -2 in a, -1, -0.4, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 3*v - 12*v - 967*v**2 + 967*v**2 + 43 in the form z + c*v**3 + r*v**2 + f*v and give z.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 4*l**3 + l**3)*(-3*l**2 - 2*l**2 + 6*l**2) - 6620*l**4 + 101*l**5 + 6620*l**4.\nAnswer: 100*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + sqrt(162) - sqrt(162)) - sqrt(162))**2.\nAnswer: 18*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18812, 37645, 56490, 75347, 94216, 113097, 131990?\n\"Answer: 6*o**2 + 18815*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**6)\/(s\/s**(1\/2)*s*s) assuming s is positive.\nAnswer: s**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -308 - -422. Suppose -4*n = x - 134. Let f be ((-2)\/1 - -8)\/2. Solve 4*l + 50 - 14 = 4*p, 35 = -f*l + n*p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.71564576 rounded to two decimal places?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -467 + 53*q + 292 + 199 + 0*q**3 + q**3 to s + t*q + o*q**2 + a*q**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -390?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*j + 2*j + 2*j**3 + 0*j**3 - 3*j**3 - 1 to p*j + f + o*j**3 + q*j**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87650 + 87646.1139. Let h = u - -3.9. What is h rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/2 - 1) + 4224 + -4236?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562*y**3 - 236*y**3 - 241*y**3 - 5*y**2 - 81*y**3 + 3*y**2 + 2*y**2.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-8))\/(798\/133)*-8*1\/69.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*o = -31, 2*s - o = 5 + 10. Let m(n) = -9 - 43*n**2 - 34*n**2 + 8*n + 76*n**2. Let c be m(s). Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 2340.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.0199 (c) -2\/15 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 605207*m.\nAnswer: m*(m - 605207)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 160544.443111?\nAnswer: 160548.443111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)\/v**8 assuming v is positive.\nAnswer: v**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -149 (c) -0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/20863 and 53\/31?\nAnswer: 20863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -130, -195, -260, -325?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 93*k**3 + 1505*k**2 - 7407*k + 5994.\nAnswer: (k - 74)*(k - 9)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 7 + 2*t - 27 - 12. Give y(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 753 - 522. List the prime factors of s.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, p: 7}. Give prob of picking 2 p.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36695778 is divided by 30302?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10500927 and -4.\nAnswer: 42003708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -5a0b576?\nAnswer: 5a0b57a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 24*v + 402. What is n(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(6\/(-4)))\/((-16)\/(-120))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 883910704 to the nearest integer?\nAnswer: 29731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 12*t**2 + 13*t + 5. Let q be n(-13). Suppose 2*g - 2*b + 7*b = -621, q*g + 1630 = 3*b. Let p = g - -1002. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 108 = 44. Suppose -3*z = 5*d + z + 45, 2*d - z = -18. Let i = y - d. Which is smaller: i or 30?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1208470*d**3 + 9783573*d**2?\nAnswer: 7250820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235 divided by -47.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 10. Let x be t(5). Let l be -6 + (0 - x) + 0. Is (-3882)\/(-9)*-3*l\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -87*w + 1176. Let v be s(13). Calculate the greatest common factor of v and 873.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -605345?\nAnswer: 2\/605345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-3)\/y*y))*y)**(8\/9)*(y**(-7))**9)**(-14\/9) assuming y is positive.\nAnswer: y**(8050\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404 = 38*w + 164*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -68712*w - 824279. What is l(-12)?\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 31 (c) -2104\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 6*t - 5. Let o be i(3). Which is the closest to -2\/5? (a) o (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**3 + 0*a + 1 - 3*a**2 + 3\/4*a**4. Factor n(c).\nAnswer: 3*c*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 5\/(-15) + (-26)\/40. Let k(t) be the second derivative of -2*t + 1\/12*t**4 - 2\/3*t**2 + j*t**5 + 0 + 0*t**3. Determine b, given that k(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -554 - -1330?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 76*o**4 - 992*o**3 + 3160*o**2 - 3648*o + 1404 = 0.\nAnswer: 1, 39\/19, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4007*w**3 - 4184*w**2 + 12*w + 6. Let k(h) = 8014*h**3 + 8365*h**2 - 20*h - 10. Let x(q) = 3*k(q) + 5*s(q). Find the third derivative of x(i) wrt i.\nAnswer: 24042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**4\/2 + 5*m**3\/9 + 13*m**2\/6 + 2*m\/3 - 49. Factor h(g).\nAnswer: -(g - 2)*(g + 1)*(6*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 4*v + 3. Let q be (-3)\/(-6)*(-1 + -3). Let y be l(q). Suppose -527*c - 484 - 570 = 0. Put -4, c, y in increasing order.\nAnswer: -4, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b - 2*n - 16 = 0, 0 = 3*n + 6. Let o be (1\/b)\/(12\/(-180)). Suppose 733 = o*g - 4517. What is g rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - s**3 + 0*s**2 + 2*s + 3*s**2. Let a be ((-3)\/(-4))\/(7\/28). Let c be y(a). Solve 20 = c*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**3 + 2*y**2 + 2*y + 1. Let x be f(-1). Let p be (-3 - (1 + x))*-3. Solve -p*l = 2*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s + 2*s + 0*s + 6*s. Let x(z) = -1317*z + 1317*z + 15*z**2. Determine x(p(a)).\nAnswer: 135*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1247406, -1247401, -1247388, -1247367?\n\"Answer: 4*d**2 - 7*d - 1247403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*q**3 - 3 - 284*q**3 + 3.\nAnswer: -33*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -767443512*i + 707003925 wrt i.\nAnswer: -767443512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhq when three letters picked without replacement from {q: 7, h: 5}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdt. Give prob of picking 2 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 40. Suppose 4*w = -q*z + 3*w - 1, -1 = -2*z + w. Let s = z + 6. Solve -u + 3 = 0, -p + 2*u - 11 = -s*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(304)*-3 - sqrt(304)) - (2 + sqrt(304) + (sqrt(304)*-1 - sqrt(304)) + sqrt(304)))**2 + 5*(sqrt(76) + 1)**2 + (sqrt(76) + 6*sqrt(76)*1)**2 + 1.\nAnswer: -44*sqrt(19) + 8978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -89949*k - 179893. Calculate w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*g**4 + 88620*g**3 - 28381068*g**2 + 1301366976*g - 16173251328.\nAnswer: -3*(g - 26)**2*(5*g - 2824)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = o - 11, 1 = 2*o + 11. Suppose -2*p - h - 7 = 0, 5*p - 5*h = -7*h - x. Let t(u) = 5 - 2*u - 4 + 1. Determine t(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19 greater than -9\/1594642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3812, -7629, -11446, -15263, -19080?\n\"Answer: -3817*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4134332 to the nearest integer?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 8) + 3 - (-12 + 16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5849, 0, -3, 1 in descending order.\nAnswer: 5849, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 - 273*y + 272. Let s be z(1). Let q = -0.14 - -0.09. What is the second biggest value in s, q, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13063620151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -10*c**4\/3 - 3212*c**3\/3 - 13214*c**2\/3 + 31652*c\/3 - 5072 = 0.\nAnswer: -317, -6, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 432217 at least 2161089\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - l - 165 = 4*l, 0 = -2*l + 6. Let o = 95 - f. Suppose -g + 4*m + 5 = -19, -33 = -4*g - o*m. What is the lowest common multiple of 33 and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5*x*x**(-4)*x*x*x**8*x*x**(2\/13))**(7\/11))**(-2\/41) assuming x is positive.\nAnswer: x**(-2394\/5863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-5))\/((-20)\/50). Solve -2*q + 4 = -t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 458*y - 10 - 435*y - 51*y**3 - y**3 + 7 wrt y?\nAnswer: -312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5 + 72*j**4 + 762*j**3 + 2540*j**2 + 1125*j - 4500 = 0.\nAnswer: -60, -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8211, -33124, -74763, -133134, -208243, -300096?\nAnswer: -408699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -33500081\nAnswer: 2\/33500081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1910208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -3963 in decreasing order.\nAnswer: 3, -4, -3963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - 4*s**2 + 4*s - 3. Let d be h(2). Suppose -d = -u + 3. What is the units digit of 82\/u - (-1)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1671746, -1671744, -1671730, -1671698, -1671642, -1671556?\nAnswer: -1671434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) -6.2 (b) 5 (c) 9 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -45822*q - 5452806. Determine i(-119).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4405*d + 180624. Determine b(41).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 71*u**2 - 15*u**2 - 55*u**2. Let l(o) = -10*o**2 + 6. Give -22*d(h) - 2*l(h).\nAnswer: -2*h**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -349 + 325 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + -42. Let x = i - 37.5. Let u = -2.7 - x. Round u to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-3)\/20*(-13)\/(-507)\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 281*j = 264*j + 51 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316890 divided by 90.\nAnswer: 3521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31706*m + 31703*m - 18 = -h, -3*h - 11 = 4*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-534)\/99 + -4. Let w = d + -8\/11. Factor 2\/3*c**3 - 2\/3*c**2 + 2\/3 - w*c.\nAnswer: 2*(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-14))\/2*36\/(-72).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 193.\nAnswer: -5\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/30*1*2\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.46555 tonnes to kilograms.\nAnswer: 79465.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37.26084ml?\nAnswer: 0.03726084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 65.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146*h**3*l*t + 2*h**3*t**3 - 2*h**2*l*t + 7*h*t**3 + l*t**3 wrt t?\nAnswer: 12*h**3*t + 42*h*t + 6*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(165)\/sqrt(3) + sqrt(6655)*1)\/(4*2*sqrt(275) + sqrt(275))*2.\nAnswer: 4*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**3 + 3*f**2 + 5*f - 5. Let t be p(3). Let r = -52 - -53. Let l be 2\/(2\/3) - (r - 41). Calculate the highest common factor of t and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3497335*g**4 - 9886127.\nAnswer: 13989340*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 4:39 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/240 + 7*n**5\/120 - n**4\/12 - n**2. Let q(u) be the second derivative of f(u). Give q(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 - 27*h**2 + 4*h - 215. What are the prime factors of z(21)?\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 + 3*w + 3. Let y be c(2). Let t be (720\/27)\/8 + (-2)\/y. Let o be -2 - 0 - -28 - 1. Solve o = -t*n + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 1:40 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4986542 = 2*h - 0*h, 0 = -3*w + 6. Let c = -3683274 + h. Round c to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 6) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 53. Let g be (-80)\/l*3\/(-27). Which is greater: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, d: 5}. What is prob of sequence bbbd?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24140335 (base 6) to base 11.\nAnswer: -479764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2244431383 to the nearest integer?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 + -0.11. Put j, -1\/5, -5 in descending order.\nAnswer: j, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b - 8 = -2*u, -3*b - 4*u + 24 = 0. Let k(p) = -3*p + 8. Determine k(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 86*k**2 - 94*k - 97. Is d(34) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-2)\/(-3))\/(9\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -791692 divided by -41668.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43.724 + 0.724. Let q = -42 - h. Let p = 1.12 + -0.22. What is the third biggest value in p, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*n - 81*n = 74*n - 13401 - 6633 for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2191 + -2185. What is the remainder when 580 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 a when three letters picked without replacement from {u: 3, a: 1, z: 2, y: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/28)\/3*154\/44?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Suppose -5*m - 8 = -i - m, -l*m + 52 = 3*i. Suppose 3*g - 5*k = 28, -2*g + 10 + i = 4*k. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19445505 is divided by 3889094?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r + 7. Let j(z) = 2 + 3 + 5*z - 9. Suppose -x + 3*p = -3*x + 24, -4*x + 40 = 4*p. Suppose 4*h = -34 + x. Calculate h*j(l) - 4*s(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 12*s**2 + 9*s**2 to the form a*s**2 + x + o*s and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/374 and 49\/7893236.\nAnswer: 86825596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 898560 a multiple of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 16*y + 208. Let m be (1\/(-2))\/((y\/8)\/1). Let f = -43 - -130\/3. What is the closest to f in 5, 3\/4, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2*q**5\/85 + 5*q**4\/34 + 16*q**3\/17 + 4*q**2\/17 - 64*q\/17 + 10741. Find r, given that l(r) = 0.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139 + 138.43. Let b = -0.5700077 - j. What is b rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -1 (c) -3\/7 (d) 0.27723\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24628660 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73465*n**3*o**3 - 2*n**3 + 2*n**2*o**2 + 142*n**2*o - 21*o**3 wrt n.\nAnswer: 440790*o**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*y**3 + 90*y**3 - 22*y**3 + 63*y**3.\nAnswer: 178*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 1967 = -175. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -b - 4*b + 15, b + k - 3 = 0. Suppose -3*g - b = -21. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2. Let j be (-7)\/(-5) + (-50)\/125. Let x(l) = 7*l**2. Determine j*x(v) + 4*s(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0077 - 1.9923. What is the nearest to n in 1\/7, -1, 1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 3*o + 1, -2*u + 841 = 2*o + 857 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2730 by 5.\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.011 + 4.989. Which is the second biggest value? (a) -3 (b) -0.3 (c) -4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9511 - -9544. Solve 0 = r*k - 20 - 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 9, 2*z - x - 10 + 3 = 0. Suppose -v + 5*p = -5, -z*v - 2*p = 2*p + 4. Factor 0 + 15\/4*m**2 + 3\/4*m**4 + v*m - 9\/2*m**3.\nAnswer: 3*m**2*(m - 5)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*m + 3*i - 51, 2*m = -3*i + 33. What is the remainder when 229 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 3. Let i(g) = -4. Let q = -24 - -30. Suppose 3*c + q = c. Let x(d) = c*i(d) - 4*w(d). Let f(u) = 9*u**2. Determine x(f(a)).\nAnswer: 324*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-84))\/((-6)\/((-864)\/(-8))).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -20*w**2 + 101*w - 37. Let s(i) = -21*i**2 + 99*i - 36. Let u(x) = -17*x + 107. Let t be u(6). Let l(v) = t*s(v) - 6*b(v). Factor l(o).\nAnswer: 3*(o - 7)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 82698, 82778, 82858, 82938, 83018, 83098?\n\"Answer: 80*j + 82618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*i + 63 - 8, 0 = -2*r - i + 65. Solve 3*b + 4*n - 31 = 0, -3*n = 4*b - r + 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3120\/(-560) - 4\/(-7). Is w smaller than 3\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*9\/(-30)*(-20)\/(-15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, 0, 3, -1.6128.\nAnswer: -5, -1.6128, 0, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*z = 55*z. Which is smaller: -2\/97 or z?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 53657049, 107314098, 160971147, 214628196, 268285245?\n\"Answer: 53657049*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 35. What is the tens digit of -7 + 1351\/14 + 6\/g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2890*p**4 + 55*p**3 - 2406*p**2 + 47*p**5 + 7862*p**3 + 4971*p**3 + 3*p**5 - 6530*p**2 + 1696*p = 0.\nAnswer: 0, 2\/5, 4, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j. Let k(p) = 3*p**2 + 1. Let u(h) = -145*h**2 - 1. Let l(v) = k(v) + u(v). Give q(l(a)).\nAnswer: 284*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k + 194806 = 195686 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 37*d**7\/210 + d**5\/2 + 12*d**2. What is the third derivative of n(p) wrt p?\nAnswer: 888*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*x - 21, x - 48 = 4*m - 0*x. Let f = m + 16. Suppose n = f*h + 12, n - 4*h - 21 = -2*n. Solve n*c - 6*c = -d + 17, -5*c = -3*d + 35 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 20*b - 10*b - 4*b with respect to b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -7\/2. Which is the second biggest value? (a) 1 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = 5*s + 13, 4*u - 8 = -0*s - 5*s - 10 - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10924.\nAnswer: 2, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36, 18, 158, 426, 864?\n\"Answer: 7*n**3 + n**2 + 2*n - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 19916 (b) 3\/2 (c) 0.1 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7861971 or 3?\nAnswer: 7861971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 120 = -5*m. Suppose m = 4*n - 2*n. What are the prime factors of 9\/((-45)\/n - -4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wllbldlwgd. Give prob of picking 1 l and 1 d.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 11436 = -r + 44553. What is the highest common factor of 57 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g + 1. Let c(o) = 1807*o - 139. Give -c(d) - 139*l(d).\nAnswer: -973*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54606 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2364 = 48*i - 6540. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:41 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100444?\nAnswer: 2, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1227 by -409.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32647916?\nAnswer: 2, 7, 166571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 1. Let t be (-2 + 1)\/(3\/51). Let x = -11 - t. Let u = -1 + x. Give z(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + q + 4*q + 2 = 0, 2*x + 3*q = 24. Suppose -4*i + x = -2*z, 2*i - z - 14 = -5*z. Suppose -i*w - 1 + 26 = 0. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.054974 weeks?\nAnswer: 14.384818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8359*k**3 - 2*k**2 + 14*k + 48. Suppose -p - 2*s - 6 = 0, 3*p - 2*s - 3*s + 29 = 0. Let q be l(p). Round q to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34787000 to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(450)\/(-2*sqrt(10) + sqrt(10)))\/(-1*sqrt(1089) - sqrt(1089) - sqrt(1089) - sqrt(1089)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -11, -0.0361, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 28 (b) -1.1 (c) -2 (d) 5 (e) 2 (f) 12 (g) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5205223 (base 6) to base 9\nAnswer: 420836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -215, 22, 3 in descending order.\nAnswer: 22, 4, 3, -2, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1588 - -10881. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**2 - 225*k = 0?\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038691.\nAnswer: 1038691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 45*w**2 - 37*w - 405. Is q(-42) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/42*-2)\/(9\/27).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = 22*v - 72. Suppose 0*k + 0 + 0*k**v - 2\/7*k**3 = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 14*f - 859 = -20*l, 5*l = 4*f - 249 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 - 5*l**3 + 3*l**3 + 0*l**3 - l**3 - l**3 + (-6 + 1 + 4)*(-l**3 - 4*l + 4*l) + l - l + l**3 - 42 + 42 - 3*l**2 - 2*l**3.\nAnswer: -4*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 7:47 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 2)*(j**2 + 0*j**2 - 3*j**2) + (7 + 12 - 9)*(0 + 2*j**2 + 0).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1133 = -3*l, 0 = -2*l + 6*x - 11*x + 787. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:35 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27.35657 millennia?\nAnswer: 328278.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-2)\/(-3))\/(118\/708)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 1 - 7)*(2 + 0 - 1)*(-u - 2*u + u).\nAnswer: -80*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49368.89001 rounded to the nearest ten?\nAnswer: 49370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64369.\nAnswer: 59, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 45. Let u be n(-21). Find x, given that 3\/4*x**2 + u*x + 9\/4 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10930*v**5 + 214*v?\nAnswer: -218600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -224 + 232. Solve -q*m = -4*m + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 58*l + 44*l - 91. Suppose -3*s + 6*s - 84 = 0. Sort s, 5, -2, l in ascending order.\nAnswer: -2, l, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -l + 4*g, -l + 2*g = -0*g + 10. Let n = l + 20. Solve -3*s + n = -4*k, 3*k - 1 + 6 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 116110.53 months?\nAnswer: 967.58775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-26)\/(-6) - 4\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9, 0.1, -501, -1\/9, -0.01?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -121206\nAnswer: -2\/60603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 530884, 1061778, 1592674, 2123572, 2654472, 3185374?\nAnswer: 3716278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 68*c**3 + 5. Let z(f) = 2729*f**3 - 5430*f**3 + 2724*f**3 + 2. What is 4*k(o) - 11*z(o)?\nAnswer: 19*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*1 + sqrt(425))*3 + sqrt(425) + sqrt(425) + sqrt(425) + -1 + 5)**2.\nAnswer: 360*sqrt(17) + 34441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(528) + 2*sqrt(528))\/(sqrt(3) - (sqrt(192) - sqrt(48))) + sqrt(44)\/(sqrt(4) + sqrt(16)*1 + sqrt(4)) + -3).\nAnswer: -15*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1580, -1591, -1604, -1619, -1636, -1655?\n\"Answer: -k**2 - 8*k - 1571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 0.04009, 0.18 in descending order.\nAnswer: 4, 3, 0.18, 0.04009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2 + 4 + -3. Let d(j) = b*j**2 - j**2 - 2*j**2. Let v(p) = -2*p**2. Give v(d(r)).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/18 - 77\/(-42). Suppose 2*m - 1674 = 2*v, i*m = -5*v + 171 + 1524. Suppose -13*d + m = -6*d. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1900) + (sqrt(1900) - (0 + sqrt(1900))) + -3 + (2*sqrt(114)*-2 + sqrt(114))\/(-2*sqrt(864)).\nAnswer: 2 + 81*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-99)\/81 - 4\/(-18). Let z be (-222)\/(-4)*(1 - h). Suppose -21 = 3*a - z. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2022\/3033 - ((-272)\/(-6))\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + 16 - 15) + 18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -9*v**2 - 148912*v - 595654. Calculate b(-4).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 154\/56 - (-3)\/(-4). Suppose j*h - 13 = w, -4*h - 3*w + 5 = 4. Solve -l + 10 = 3*n, -5*n + l = -18 + h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f. Let d be x(-3). What is the units digit of 4\/(d\/(-3))*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 + 2. Let n = 3 - 0. Let k = n + -3.1. What is the nearest to k in 0, -2, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22472, 44857, 67228, 89579, 111904?\n\"Answer: -j**3 - j**2 + 22395*j + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 174 = -9*u - 54. Calculate the remainder when 579 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2507 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/205023 and 14\/30021225.\nAnswer: 210148575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q + 1. Let s be h(7). Suppose -o + s = 2*o. Let l = 27 - o. What is the highest common factor of l and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + l**2 + l - 4. Let v(z) = -z**3 + z - 2. Let a(w) = -3*m(w) + 5*v(w). Let n be a(5). Let h = n + -24. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4552341 (base 6) to base 16.\nAnswer: 38c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -83. Suppose a - 164 = -4*g. Let x = g - 50. Find the common denominator of -43\/9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**6\/360 - d**5\/120 + 31*d**4\/24 + d**3\/6 + 2*d. Let s(p) be the second derivative of y(p). Is s(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a century in years?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/((-6)\/210*49)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 438662092 to the power of 1\/2, to the nearest integer?\nAnswer: 20944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 a factor of 206193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -3. Let t(d) = 4*d**2 + 3*d - 4. Let b be t(g). Suppose 4*h - 13 = b. What is the highest common divisor of 36 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w**2 + w**2 + w**3 - w**3 + 2. Let y be 24\/15*(-350)\/140. Determine s(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133.22 - 381.92. Which is smaller: 0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3\/17 + 1958*y**2\/17 - 3776*y + 517632\/17 = 0.\nAnswer: -1011, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k + k**3 + 2*k - 3*k + 4 + 6*k. Let x = -12 + 12. Let c be u(x). Solve -c*n - 6*t + t = 7, t = -3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (65*x**2 + x**3 - 65*x**2)*(-1 - 1 + 0)*(0 + 1 + 2) in the form o*x + r*x**3 + g*x**2 + t and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33726239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 104, 221, 346, 485, 644, 829?\n\"Answer: v**3 - 2*v**2 + 116*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100437247 is divided by 768?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4614173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -21*k + 51. Let g = -54 - -39. Let m be 1\/((g\/6 + 3)\/2). Solve -l - k = -m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752831.5855 rounded to the nearest ten?\nAnswer: 752830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25615*0.406.\nAnswer: 0.1039969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 2*j + 0*j)*(163 - 163 - 28*j**2) to m + r*j**3 + u*j + t*j**2 and give r.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -t + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 3:45 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113445 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.05, -1\/4, -21\/32?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 12:50 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3775880 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -92, -169, -240, -305?\n\"Answer: 3*k**2 - 86*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-48)*1968\/164)\/(7\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -6. Let w = 28 - 85\/3. What is the closest to 0 in w, -4, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-49)*p**41)**(-2\/179) assuming p is positive.\nAnswer: p**(14\/179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 11*h + 14. Suppose -2*t + 27 = t. Let g = 1 + t. Let s be y(g). Solve -3*x = -s - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*-2*(sqrt(432) + 3*sqrt(432)*2)*-3 + -4 + 2))**2.\nAnswer: 96768*sqrt(3) + 109734976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4644, 0 in ascending order.\nAnswer: -4644, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 30. Which is the third smallest value? (a) u (b) -0.4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/619 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*m - 362493 = 420339. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 23. Suppose j*w = 10*w - 9. Suppose -w*o - y + 9 = 0, -5*y = 5*o - 10*y + 5. Solve -17 = 3*n - o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -459 + 464.02. Let a = 0.02 - z. What is the third biggest value in -1\/8, -0.1, a, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 11) in base 9?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/14 - (-57)\/11 - 4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/19, -0.4, 18\/11, 0.1, 157?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1515 - 1.6515. What is the nearest to -30\/7 in 3, -0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + s - 3*s)*(127 - 13 + 229).\nAnswer: 343*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -9768, -0.3.\nAnswer: -9768, -0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*c = 98*c - 40. Let k(g) = -c + 21*g - 2*g - 21*g. Let n(v) = -v - 4. Calculate -3*k(r) + 4*n(r).\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5*(1 + 14))\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from xxmxmmmmxggm.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6604 = 4*a, 3*a - 3*u = 6*a + 4983. Are -3309\/2 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.04, 0.3, -208, -13, 0.9?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25349 = 30*r - 332971 - 12960. List the prime factors of r.\nAnswer: 2, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/(-14) + 1 + 2. Let p be 0 + (204\/(-1))\/(-3). Let m be p\/132 - 1\/3. What is the nearest to u in m, -0.3, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356010118691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6065003 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 347180 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d - 109*d - 130*d + 21*d - 7*d.\nAnswer: -248*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.9101452 + -2.91. What is b rounded to six decimal places?\nAnswer: 0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2696.2919076 + 2702.2919. Let a = -6 + o. What is a rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/22)*v**(9\/7))**(2\/7) assuming v is positive.\nAnswer: v**(359\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6170 + 6160.988. Let t = -20 - -11. Let o = t - p. Round o to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -54. Suppose -g = -2*w - 3*w. Let r be 3 + 0 - (0 + w). Solve 3*x + 16 = -3*j - 2*j, -3*x + r*j = 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/99*939\/29735\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-1\/6)*u\/((u**0*u)\/u))**(9\/10) assuming u is positive.\nAnswer: u**(57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5 = l, -4 = 5*a - 4*l + 6. Let q = -0.3 - 4.7. What is the second biggest value in -5\/3, a, q?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 b, and 1 l when four letters picked without replacement from rwwblbbrrwglrwrrr?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 1, 0.0854258?\nAnswer: 0.0854258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -249, -1, 1, -5, 7\/2, -1\/2 in descending order.\nAnswer: 7\/2, 1, -1\/2, -1, -5, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -11 (b) 4\/5 (c) -41361 (d) 0.9 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from uuujuuuuuujuuuj?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 29*s**2 - 15*s - 3859. What is y(33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 0 - (-294)\/(-146). Let n = t + 3287\/146. Let v = -1853\/22 - -84. Find the common denominator of v and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Let r = l - 1.1. Suppose 0 = -3*z + 2*y - 23, 4*z + 2*y - y + 16 = 0. Which is the nearest to r? (a) 0.1 (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*s - 594*s - 58674 = -324*s + 1058*s for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5 - 37*x**4 + 393*x**3 - 935*x**2 + 578*x = 0. What is x?\nAnswer: 0, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (68 - -12) - (-1 - (21 - 25))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-1 + 3 - sqrt(2448)*2)**2.\nAnswer: -150*sqrt(17) + 10634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -32482*a**3\/3 + 13317616*a**2\/3 + 53791832*a\/3 + 2208 = 0. Calculate a.\nAnswer: -4, -2\/16241, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 115 = 25*j - 28*j, g - 2*j - 25 = 0. Let q(r) = -r**2 - 12*r + 8. Let h be q(-10). Solve h*i = g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of -8*-5*(-693)\/140*95\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z. Let n(a) = 9150 - 4*a**2 + 0*a**2 - 9146 - 15*a**2 + 2*a**2. Give n(f(x)).\nAnswer: -612*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 6, 0*y - 4*y + 2*a + 28 = -0*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**4 + 2*u**3 + 14 + u - 4*u**3 + 4*u**3 - 4*u**3 as r*u**4 + b*u**2 + t + d*u + m*u**3 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 2. Let d be m(3). What is the second derivative of 17*g + 2*g**5 - g**d - 16*g**5 wrt g?\nAnswer: -300*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.2*0.3\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7430707552776 + 2362969411053757\/318. Let l = h - 13865648. Let q = l + 148\/53. Find the common denominator of q and 25\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**2*u**4 + 2*c**2*u + u**4*v + 15*u**3*v - 5*u**2 - 3*v wrt u?\nAnswer: -24*c**2*u + 24*u*v + 90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -73\/49 (b) 1\/4 (c) 20 (d) -2\/7 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - 1. Let q(b) = -b + 5. Let r = -3 + -2. Let a(c) = -c + 4. Let p(f) = r*a(f) + 4*q(f). Determine j(v) - 4*p(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2. Let o(a) = -2*a**2 - 72. Calculate -4*n(j) - o(j).\nAnswer: -2*j**2 + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 19 (b) -2\/5 (c) 0.07 (d) -0.2 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1219 and 1378.\nAnswer: 31694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**4 + 27*h**3 - 123*h**2 + 101*h + 6. Let f(b) = 8*b**4 + 188*b**3 - 860*b**2 + 708*b + 44. Let a(w) = 6*f(w) - 44*z(w). Solve a(r) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -s + 6*s. Let r(i) = 2*i - 15. Let z be r(10). Suppose -z*a - m + 43 = -5*m, -4*a - 3*m + 22 = 0. What is the highest common divisor of s and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/12134203 and -113\/14.\nAnswer: 169878842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16*1*5\/(-20) - (2 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 (base 13) in base 2?\nAnswer: 10011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 16 = 2*o + 2*g, -o - 5*g - 18 = 0. Suppose -26400 = o*l + 2*l. Round l to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2303 - -2308. Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9, 3\/5, -4, -11\/15?\nAnswer: -11\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7964 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237729189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**6 - 8047*b**4*x**2 + 174*b**2*x**2 - 27*b**2 wrt b?\nAnswer: -360*b**3 - 193128*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + b - 10 = 0, 3*w - 2*w - 6 = -b. Suppose 0*q = -2*q + 140. Let s = 70 - q. Solve w = t - s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**4\/8 + 5*p**2. Give m(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04672 - 0.00129. Let y = l - 0.045. Round y to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*u - 81*u - 120 = -93*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umussssz. What is prob of picking 1 z, 2 u, and 1 m?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-88)\/(-20) - 1 - (-2)\/(-5). Let k(l) be the second derivative of 0 + 3*l - 1\/14*l**7 + 0*l**2 - 2*l**y + 3\/5*l**6 - 39\/20*l**5 + 3*l**4. Factor k(w).\nAnswer: -3*w*(w - 2)**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -2348355\nAnswer: -164384.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -2)\/1*1. Suppose -2*d = -5*j + 9, 0 = d - z*d - 5*j + 17. What are the prime factors of -2*(-116)\/d - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + w**2 - 10*w + 12. Let r be t(2). Suppose -2*i + r*n + 30 = -4*i, n = 4*i + 87. Sort 0, 3, i in increasing order.\nAnswer: i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 3267.749\nAnswer: -653.5498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1341481299 to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10739061589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -46. Calculate the remainder when q is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.01, -1\/4, 1\/9, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29425197589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7482 by -1000.\nAnswer: 3741\/500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - p + p**4 + 0*p**2 + p**4 as i*p + u + o*p**2 + j*p**3 + x*p**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**5\/20 - 2*u**4\/3 - 4*u**3\/3 + 2*u**2 - 3*u. Let b be v(9). Suppose 2*r - b = 3. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 33*l - 3 = 0. Suppose 2*f = 3*v - 8 - l, -5*v = -f - 23. Suppose x = -4 + v. Solve d - 2*d = x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 4\/11 in decreasing order.\nAnswer: 1, 4\/11, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.865469 years in decades?\nAnswer: 0.7865469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2010142 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 49 + 114 = 0. Suppose -26 = -t*d + 13. Solve -d*y + 2 = -13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r + 3. Calculate c(10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.2 + 2.2. Let n = p - -5.2. Which is the third biggest value? (a) n (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -134948410*n**3 - 68726*n**2 + 171815*n + 34363. Let q(h) = 19636*h**3 + 10*h**2 - 25*h - 5. Determine -5*k(t) - 34363*q(t).\nAnswer: -9818*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3827*o + 78 = 3861*o, 2*s + 3*o - 16 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-12))\/((-84)\/82593). Calculate the greatest common divisor of 207 and g.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5360 is divided by 1777?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 42*w = -38*w - 40, 5*w = 3*q - 4 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49606385?\nAnswer: 5, 29, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 - 0\/1 - 192816\/(-7488). Factor 12*p - m*p**2 + 21\/4*p**3 + 9.\nAnswer: 3*(p - 2)**2*(7*p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -8, -1\/5, 13.3 in increasing order.\nAnswer: -8, -1\/5, 0.2, 13.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dth when three letters picked without replacement from dfdvffddhvtvhdd.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*a**3 + 347*a**3 + 2*a**2 - 113*a**3 - 52*a**3.\nAnswer: 83*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 5*r - 18 + 6, -3*r = -3*n - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496112.\nAnswer: 2, 101, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -14*i - 6*i**2 - 9 - 2*i**2 + 2*i**2 - i**2. Let m(a) = -6*a**2 - 13*a - 9. Let x(g) = -6*m(g) + 5*n(g). Let u be x(-7). Which is smaller: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -159 (b) 0.17 (c) -3\/2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94478533, 94478536, 94478539, 94478542?\nAnswer: 94478545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3\/5, 0.07, -7, 474, 37\/3.\nAnswer: -12, -7, -3\/5, 0.07, 37\/3, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1.1, 0.4, 3\/5, 1.28, -20\/9 in ascending order.\nAnswer: -20\/9, -1, 0.4, 3\/5, 1.1, 1.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4541 - 11025 - 2496 + p + 4129.\nAnswer: p - 13933","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 21013750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100001100101111 (base 2) to base 3\nAnswer: 212121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 - 21*d + 2 + 2 - 5 in the form a + z*d and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 3*m. Let f(k) = k**2 + 6*k - 2. Let l be f(-6). Give b(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.81 from 0.34.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.8 + 17. Suppose -m = 3, -3*w = -0*w + 4*m + 9. Let d = 94 + -193\/2. Which is the third smallest value? (a) f (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -3707891.\nAnswer: 3\/3707891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 474*v**2. Let j(o) = -6*o + 12*o - 6*o - 8*o - 8*o. Determine i(j(s)).\nAnswer: 121344*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14560? (a) -2\/3 (b) 0 (c) 0.03 (d) 2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 + 95. Differentiate 13*b - 32*b + 73 - 12*b - a*b with respect to b.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 85?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 35*s - 7. Let j be (10\/(-45))\/((-36)\/36*1\/9). Let n(c) = -18*c + 3. Give j*i(y) + 5*n(y).\nAnswer: -20*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 17 = -18*x + 20*x + 7, 38 = -3*q - 5*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41029 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*g - 2*r, 3*g + g - 2*r = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.85, -0.4, 1828 in decreasing order.\nAnswer: 1828, -0.4, -0.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((204\/(-17))\/(-12)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 5*p. Solve -6*k + 2*k = p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*z - 22 = 0, 7*l - 8*l + 30 = 4*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*q - 95 = 0, q - 43 = -2*w + 2*q. Solve 0 = 2*c + 3*c + w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 106 - 22. Let c = r + -12. Solve 0 = y - c + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13.8 (b) -10 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17697868?\nAnswer: 2, 4424467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 10:44 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3*-78\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0894 - -355?\nAnswer: 354.9106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49149633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -870.2013280693 plus -1?\nAnswer: -871.2013280693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(-l - 3 + 3) + (0*l + 2*l - l)*(-57 - 35 + 21).\nAnswer: -69*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 614 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**4 - 11*z**4 + 5*z**4)*(22 + 4*z - 22)*((3 - 4 + 2)*(0 - 1 + 3) - 1 + 1 - 1 + 1 + 14 - 9).\nAnswer: -364*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2513961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9896 - 9897. Which is the fourth smallest value? (a) 4 (b) 1\/2 (c) k (d) 0.037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 81032*c - 972960.\nAnswer: 4*(c - 20270)*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h. Let s(c) = -119*c. Let g(p) = -49*d(p) + 2*s(p). Suppose 2*z = 4, 6*z = m + 5*z + 1. What is g(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73.1 - 70.01. Let x = 171 - 172.71. Let q = x + r. What is q rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 7 + (-57)\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2454*h - 90779. What is r(-37)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 809, 14, -57 in decreasing order.\nAnswer: 809, 14, -23, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1300 = -64*y + 6*y - 324 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 437*h**5 + 1083*h**5 + 325*h**5 + (-1 + 0 + 2)*(-h**5 - 2*h**3 + 2*h**3).\nAnswer: 1844*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-540)\/450)\/((-56)\/30*-3)*-12.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(11\/4)\/g)\/g*g\/((g\/(g*(g\/(g\/g**(-14)))\/g))\/g)*(g*g**(8\/17))\/g**(-2\/3))**(-29) assuming g is positive.\nAnswer: g**(53911\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**3 + y - 1. Let h be w(1). Let r = 2 - h. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5043307.3 to the nearest one thousand.\nAnswer: -5043000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1448*c - 458*c + 217725 = -3390*c - 7225*c for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 5. Let k be z(-10). Suppose 0 = -4*a + k*v + 8, 2*a + v + 1 - 5 = 0. Solve -4*h + 10 = a, -2*w + h = -6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111.6 - 111.1. Which is the closest to -1\/13? (a) -1\/16 (b) 0.2 (c) m (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 + 290*a**2\/3 + 4200*a.\nAnswer: -2*a*(a - 180)*(a + 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48961803*v**4 + 22535977?\nAnswer: 195847212*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (111\/(-148))\/(2\/(-408)). Let i = l + -150. Solve 4*y = -i*y - 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1049686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211 + 210.8. Let x = 68.5 + -68.9. Which is the nearest to -2? (a) -0.3 (b) m (c) x (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -243*p**2 - 1005*p + 1051. Calculate n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 4*b**2 + b**2 - 7*b**2 - 72 + 72 + (3*b + b - 2*b)*(3*b + b - 3*b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-4))\/(8265\/(-456)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -20669, -17, -2 in decreasing order.\nAnswer: -2, -11, -17, -20669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 19*v**3\/6 - 30*v. Let z(a) = 3*a**2. Calculate z(h(k)).\nAnswer: 1083*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, l: 1, f: 2, n: 1, t: 5, q: 5}. Give prob of picking 2 q, 1 s, and 1 n.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - (2 + 2 + -6)) + 398 + -393\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 17 + (143 - 127) - (2 + -11)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 803459 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 27. What is the lowest common multiple of v and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467975 is divided by 312?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 4786*i + 14338. Calculate j(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*q - 19, -4*w + 7 = 5*q + 32. Let k = 4 - 9. Let z be k\/20*8\/w. Sort z, -1\/5, 2\/9 in descending order.\nAnswer: z, 2\/9, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 310 - -679. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*v + 12. Let q(f) = -f**3 + 7*f**2 - f + 10. Let r be q(v). Solve -k + 12 = r*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*k + 118*k**2 - 8*k**2 + 2*k**3 + 19*k + (5*k**2 - 2*k**2 + 2*k**2)*(-2*k + 3*k - 2*k).\nAnswer: -3*k**3 + 110*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 946 + 7750*n**2 - 3870*n**2 - 3882*n**2.\nAnswer: n**3 - 2*n**2 - 946","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.018 - -0.02. Let t = -2.698 - x. Let k = t - -2.69999072. What is k rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u**3 - 22*u**2. Let p(m) be the first derivative of -m**4\/4 + m**3 - 588. Give 6*o(c) + 44*p(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 47\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + j**3 - 6*j**3 + 0*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 2149.\nAnswer: 8596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144*b + 152*b - 3 - b**3 - 3*b**2 - b**2 - 295*b + 1 + 4*b**4 to the form a*b**2 + n + y*b**3 + j*b**4 + u*b and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 75. Let s = -11 + 18. Suppose -1 + s = 2*o. What is the closest to x in 4\/5, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163648193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(1700) + (-2 + sqrt(1700)*2)**2 - (-1 + 1 + ((sqrt(1700)*-2 - sqrt(1700))*5)**2))*4.\nAnswer: -1502784 - 1040*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*i**2 + 0 + 2*i = 0. Calculate i.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfdfloffodoodfdf. Give prob of sequence dfd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 588 = 4*g - 576, 0 = 2*d - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6644 + -23. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*a + 99, 0*z + 3*a = -5*z - 114. Calculate the common denominator of 37\/7 and z\/(-6) + 2\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 7. Let x = u + 9. Put -3, x, -2 in descending order.\nAnswer: x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 196\/1213057 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t + 8. Let u(p) = 8*p - 6. Let o(y) = -3*k(y) - 4*u(y). Let b(g) = -9 + 17 - 10 - 2*g. Calculate o(b(f)).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116 + 51 - 44)*(2*l**3 - l + l).\nAnswer: 246*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120 - 91*f + 112 - 233 + 33*f - f**2 + 3*f**3 to the form l*f**2 + h*f + k + r*f**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -47 - 37. Let j = d + -1. Factor -3*x**2 - 2 + 3*x - 6*x + 10*x**3 - j*x**3 + 1.\nAnswer: -(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2. Let x(n) = 6*n + 1. Let k(t) = 89*t - 2. Let z(c) = -k(c) - 5*x(c). Calculate b(z(v)).\nAnswer: -28322*v**2 - 1428*v - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 2*v**5\/5 - v**4 - 2*v**3\/3 + 2*v**2 - 1. Determine n, given that q(n) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19 + (8\/6)\/(6\/(-9)). Suppose 9*f + 19 = -n. Which is the smallest value? (a) f (b) 2 (c) -0.5 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 8. Let b be 1*(0 - (-1)\/(-1)*-11). Suppose 0 = -6*i + b - o. Let t(w) = w**3 + 2*w**2 - 3*w + 3. Calculate t(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (-8)\/((-3)\/((-27)\/(-6))).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 180306504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - 2. Let r = -0.9 - x. Let i = -44\/5 - -171\/20. Which is the nearest to 1\/2? (a) r (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n. Suppose -4*o + 6 = 5*a, a - 1216*o - 6 = -1218*o. Let d(z) = -z. Give a*k(g) - 4*d(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 5, o: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -y + 1158, -2*y = 9*t - 14*t - 2319. Is 1153 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2282858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -1\/60*x**5 + 0 + 3*x**2 + 0*x**4 + 1\/6*x**3 + 0*x. Factor y(m).\nAnswer: -(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-900)\/(-24) + 3\/(-2). Let s be (-284)\/18 + (-8)\/o. Let i = -1 - s. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, -3\/4, -5.9, -51\/5, -17, 2, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 7:32 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242471 and 132583.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -3*a**4\/2 - 4*a**3\/3 - a**2 + a + 1. Suppose -4*g = -0*g + 8. What is the tens digit of u(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 39. Calculate m(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 26*q**2. Let c(x) = -40*x**2. Calculate c(l(n)).\nAnswer: -27040*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1239360 and 3346272?\nAnswer: 33462720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -987, -1882, -2777, -3684, -4615, -5582?\n\"Answer: -2*r**3 + 12*r**2 - 917*r - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**2\/4 + 111*q + 447\/4 = 0.\nAnswer: -1, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4981658 and 10758.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(17)*-5)**2 - sqrt(17))*6.\nAnswer: -6*sqrt(17) + 2550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - b - 1. Let l be a(-1). Let v be -2 + l + 51\/3. Let j = v - 1. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.064 - -0.164. Which is the second smallest value? (a) r (b) 0.7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**5 + 10*k**2 - 8*k. Let y(f) = -f**5 + 40*f**2 - 41*f**2 + 0*f**5 + f. Let b(z) = 4*m(z) + 40*y(z). What is the second derivative of b(j) wrt j?\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v - 3. Let q(o) = 15*o - 3. Determine q(c(d)).\nAnswer: 120*d - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 11*u - 1. Give t(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-12)*21\/(-2). Suppose 0*y - 16 = 4*y. What is the units digit of y\/d - (-116)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -29\/2, 0.3, -5 in descending order.\nAnswer: 4, 0.3, -5, -29\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqgqiiqstigqiqqqgqgq. What is prob of picking 1 g, 1 q, 1 i, and 1 t?\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0.3, -21, -1, 0, 84, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y + 8*y + 9*y = -144 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from eemeieeeqemmeieeqq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.62923 + 0.04783. Let w = -0.39 + -0.19. Let s = w - x. Round s to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-1) - 2 - (-403)\/65.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1161831*p**3 - 3 + 3*p + 0 - 1161848*p**3.\nAnswer: -17*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -19*x + 131. Determine n(9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3757379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 536813169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 4*o**2 + 5*o - 2. Suppose b + 184 = 690. Suppose -j - 4*y = 25 + 93, -4*j + y - b = 0. Let r be ((-2)\/(-9) + (-35)\/j)*-10. Determine k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -47*i**3 + 2*i**2 - 2*i + 2. Give f(-2).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b - 20. Let z(j) = -22*j**2 + 855*j + 107. Let m be z(39). What is k(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y, -2*y + 24334 + 15123 = 3*z. List the prime factors of z.\nAnswer: 7, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 19, -29, -113, -245, -437, -701, -1049?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3640 is divided by 281.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 496822 divided by 5777?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 + 156*i**2 - 264*i - 56. List the prime factors of y(-50).\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a - 2. Let l(k) = -2*k + 1. Let s(g) = 3*g**2 - 3*g - 7. Let f be s(-3). Let o = -22 + f. Give o*l(r) + 2*n(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 36*s**3 + 88*s**2 - 128.\nAnswer: 4*(s - 1)*(s + 2)*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*(3 + sqrt(153)) - sqrt(153)) + ((2 + sqrt(153))*4 - (sqrt(153) + (sqrt(153) - (-1 + sqrt(153)))*3)) + 5 + 0)**2.\nAnswer: 720*sqrt(17) + 5908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 128 - 75 + 203.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*4\/4 - -13. Calculate the common denominator of 11\/2 and (-4)\/s*(-79)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18\/11)\/(l*(l**(12\/7)\/l)\/l)*(l\/l**33)**(5\/8))**27 assuming l is positive.\nAnswer: l**(-46467\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j + 4. Suppose -c - 2*c = -114. What is the remainder when c is divided by v(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4640490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -166 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 50306.935619 and 7001.\nAnswer: 57307.935619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*i - 190339627 = -274*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*n, -c + 4 + 7 = -2*n. Let v be (-4)\/6 + 15\/c. Let l be v*(-1)\/2*-16. What is the greatest common factor of l and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.99. Let k = -83 + 162. Let l = -79.1 + k. Which is greater: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4884+-0.2\nAnswer: 4883.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -29. What is the second smallest value in b, -0.4, 2\/9, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/118943 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 8*p**2 + 13*p - 137. Determine d(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 9951151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -2 - 14) + 31 - (-25 - -28).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 55. Let w = d - -25. Let f = 0.07 - 0.47. Which is the nearest to 0.1? (a) 5 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/2 + (-2)\/1. Let f(u) = -u**2 + 6*u - 3. Let l be f(5). Suppose -6*i = -2*i + l*t - 36, -3*i = -b*t - 34. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/20)\/((-6)\/(-8)) - 53. Let c be ((-11)\/(-3) + -2)*3. Is (-6125)\/(-3) + n\/9 + c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34419.\nAnswer: 3, 7, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, -1, 23, -2\/13, -17\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 8*v**2 - 6*v - 7. Let k be y(7). Let r be (1 - -9)*(-29)\/58. Sort k, r, 2, 7.\nAnswer: r, k, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 2*r - 2. Let s = 3 - 3. Let q(h) = s - 3 + h + h + h. Determine 3*i(v) - 2*q(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(192) + -3 + (1 + sqrt(192) + sqrt(192))*-1)*-6 + 2.\nAnswer: 25 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1423802, 1423798, 1423792, 1423784, 1423774?\n\"Answer: -v**2 - v + 1423804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -4, 354, -823, -1 in increasing order.\nAnswer: -823, -4, -1, 2, 4, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1516, 1270, 854, 262, -512, -1474, -2630, -3986?\n\"Answer: -d**3 - 79*d**2 - 2*d + 1598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221002 (base 3) to base 2.\nAnswer: 1010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 444890*w**3 + 9896800485*w**2 - 19792266320*w + 9895910720.\nAnswer: 5*(w - 44488)**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6390312 - -6390310.7986268. Let u = c - 0.3986333. Let n = u - -1.6. Round n to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 701\/7 + -100. Let n = 16.85 - 17. Let l = -0.25 + n. What is the nearest to 1 in r, l, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305226208.\nAnswer: 2, 7, 139, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Let w = x + 0. Suppose -34 + 2 = -w*m. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123459 (base 12) in base 4?\nAnswer: 1020103011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -20*q**2 - 4*q - 3. Let h be t(-1). Let l = h - -13. Find the common denominator of -101\/6 and l\/27 - (-1300)\/72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105\/23 + 3\/46. Let f(i) = 4*i**2 + i - 1. Let k be f(1). Let u = a + k. Sort -3\/2, 1\/4, u in ascending order.\nAnswer: -3\/2, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5890622 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 196 - 1914. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8799 is divided by 8763.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from sxssixwwwxwxwwhw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -225, -192, -157, -120, -81?\n\"Answer: t**2 + 30*t - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 238 + -223. Solve 0 = 5*f + 3*d - i, 2*d - 8 - 2 = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 7*c + 3. Let a(q) = 6*q**2 + 22*q - 10. What is 2*a(w) + 7*y(w)?\nAnswer: -2*w**2 - 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10 = -8*h + 7*h, 0 = -3*h - 5*s + 2. Let x = -24 + 26. Suppose n = -x + 4. Solve 0 = n*k - h - 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11531 and 4?\nAnswer: 46124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 18) + (15\/(-2) - -3)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o**2 - 211*o + 209. Let i be n(1). Solve -7 = i*p + p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f)\/(f\/f**(-5))*(f*f\/(f**(-2)*f))\/(f\/(f**(2\/7)\/f))*(f\/(f\/(f*f**(-4\/7))*f)*f*f**(-7))**(-3\/37) assuming f is positive.\nAnswer: f**(-2213\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3577)\/365 + 1 + 9. Which is the biggest value? (a) -0.3 (b) 0 (c) f (d) 8 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 802 = 244. Let s be (10\/(-25))\/((-2)\/20). Suppose 5*v - 2*v - 269 = -2*f, s*f + 3*v - d = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:01 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.006 - 80.994. Let v = -18116 + 18117. What is the smallest value in g, v, 2\/23?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 12:09 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 117573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 2 + 2)*(6*m - 3*m - 2*m) + 4*m**2 - 15*m**2 - 4*m**2 to the form y*m**2 + r*m + f and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 49 = 137. Suppose -7*q = -10*q + f. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2791048 times 9?\nAnswer: -25119432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1908*h - 17085. Give z(-9).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/171 or 0?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-3)\/(-9) - 671\/(-366).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 10*i**2 - 10*i. Let w be a(-9). Let o be w\/12 + 9\/4. Suppose -o*q - 114 = -495. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Suppose 2*q - 3 - 5 = j. Suppose 4*k + 3*h = 3 - 2, -5*h = -2*k + 33. Solve 4*a = 5*g + k, -q*a - 3*g = 32 - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - d - 2. Let r be o(3). Suppose -3*a + 67 = -r*t, -4*a - 53 = 2*t + a. What is the common denominator of 10\/9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3663 = -4*l, 0 = 2*z - 5*l - 658 - 814. Calculate the highest common factor of z and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k**2 + k - k.\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0*n - 7\/24*n**4 - n**2 + 1\/6*n**3 + 0. Differentiate o(w) with respect to w.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/5 - 1. Let o(f) = -f**3 - 5*f**2 + 5*f - 6. Let x be o(-6). Let d be (-56)\/(-12) - (-4)\/(-6). What is the closest to i in d, -1\/4, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 5262525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 48 = -5*k. Let t be (-144)\/(-15) + 4\/k. List the prime factors of (1 - 4)*t\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*p + 2*p - 8*p)*(p**2 + 3*p**2 + p**3 - 5*p**2) to z*p + o*p**3 + m*p**2 + v + i*p**4 and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 2*h**3 - h**3)*(4 + 2 - 4) - 4*h**3 + 12 + 5*h**3 - 11.\nAnswer: -h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t + 150 + 460. Let w = -89 - t. Let y be 3 - ((-184)\/w + -4). Which is smaller: -3 or y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8347982 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 133041 (base 7) to base 16\nAnswer: 61ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/((-3)\/9). Suppose 2 = 3*i - 2*i. Suppose i*x - 1 - 5 = 0. Solve -x - 5 = -d*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3\/6 - q**2 + q. Let r be m(8). What is the highest common divisor of r and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10881 is divided by 2174?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11731, -23958, -36685, -49912, -63639, -77866?\nAnswer: -92593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 56, 46, 26, -10, -68?\n\"Answer: -n**3 + n**2 - 6*n + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 2*u**2 + 2*u + 4. Let p be a(-3). Let w be (-2)\/p + 74\/14. Calculate the highest common factor of 45 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in -142, -0.4, 2, -1\/6, 1, -2.37?\nAnswer: -2.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -55 + 591. List the prime factors of z.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 763?\nAnswer: 3052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**5\/10 - g**4\/2 + 3*g**3 + 71*g**2\/2 - 19*g. Is 27 a factor of c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 927 and 792173?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14558\/7 + 2080. Factor 2\/7 - j*r**4 + 4\/7*r**3 - 4\/7*r + 0*r**2.\nAnswer: -2*(r - 1)**3*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 781, 1574, 2373, 3184, 4013, 4866, 5749, 6668?\n\"Answer: z**3 - 3*z**2 + 795*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 6*j**2 - 7*j + 5. Let h be f(7). Solve 5*k = -5*g + h, -3*k = 3*g + g - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((1 - (45 + 6)) + 20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-3)\/1*(-3)\/(-1). Let u = 30 + -9. Solve 2*f = -2*s, 4*f - 2*s + u = m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/28)\/((-17)\/(-17))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/7 + 53\/7*w - 1\/7*w**3 + 25\/7*w**2.\nAnswer: -(w - 27)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - ((-35)\/21)\/(10\/(-15)). What is the smallest value in -6, -1, 0.9, n?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - y = -12, -3*y = -3*h - 4 - 2. Let o = -61 - -104. Suppose -2*p - 3 = 4*i - o, -h*p + 4*i = -80. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 - 4 + 5 - 2*s**2 - 4*s**3 + 0 as r*s + f*s**2 + q + d*s**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 45 = -t. Let f(w) = w**3 - 5*w**2 - 6*w + 1. Let l be f(5). Let n = l - t. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*f**2 - 2374*f + 425437?\nAnswer: -34*f - 2374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 100 - 116645?\nAnswer: -116545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/6*57\/(-19). Suppose -i*h - 5*q + 499 = 0, -h + 6*h - 2*q = 665. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -0*z - z. Suppose 119 = -3*v + 4*q - 3*q, 0 = 2*q + 2. Let c be 10*5\/(v\/z). Calculate the greatest common divisor of 26 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j - 15 = -37*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.9\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*a = -d - 177*a - 73, a + 19 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 5\/24*j**4 + 0*j**3 - 2 - 27*j**2 + 0*j. Let z(c) = 7*c - 2. Give z(d(q)).\nAnswer: 35*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13259\/16 + 829. Calculate the common denominator of -9\/22 and u.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*0.048.\nAnswer: -0.00384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:06 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -26825, 111 in increasing order.\nAnswer: -26825, -4, -3, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*f - 11338, 68*f + 22666 = 72*f - 5*l. What are the prime factors of f?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -190 - -190. Suppose -a - 1456 = -t*m - 4*m, 4*m = -3*a + 1440. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 36.1.\nAnswer: -180.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3))**33*v**4*v\/(v*(v\/(v**5\/v))\/v*v*v*v))\/(v\/v**(2\/3)*v\/(v*v**(-3\/2)))**(-5\/3) assuming v is positive.\nAnswer: v**(-53\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4545398, 4545399, 4545400, 4545401?\nAnswer: 4545402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrrnnnnrnntnntnrrrnr. What is prob of picking 1 r and 1 n?\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftppprrrttytppoytotp. What is prob of sequence fr?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*z - 72*z + 50*z - 52624 = 245*z for z.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 1 - 2 + u + 4*u. Let b be s(1). Solve 2*w = -b*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {a: 1, j: 1, l: 1, v: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 2*o + q - 151, 47*o - 6*q + 9*q - 24 = 48*o for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 876995\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/17, -0.3, 0.2, 1531307?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o + 17*o - 15*o.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-161)\/3 - (-2)\/3. Let t = -34 - s. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 31 = 5*x - 0, 19 = 4*d + 3*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3262*t**3 + 13*t**2 + 3*t - 28. Let b be a(-9). What is b rounded to the nearest 10000?\nAnswer: -2380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 4. Let g be n(-2). Suppose 0 = 2*u - 3*k - 251, -g*u - 5*k + 221 = -6. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4 - 74*u**3 - 4020*u**2 + 12672*u = 0. Calculate u.\nAnswer: -32, 0, 3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*g - 44 + 44 + (2 + 3 - 6)*(3*g - 2*g + g) + g + 0 + 0 + 6*g - g - 3*g + 0*g + 3*g - g in the form n + z*g and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 - 116 = 2*q + 5*l, q + 2*l + 125 = 0. Suppose 29*p - 636 = 26*p. Let o = p + q. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**10)\/(m\/m**2)*m**(-10)\/((m\/(m*m**(-4\/11)))\/m))**41 assuming m is positive.\nAnswer: m**(1189\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**6\/5 + 8*x**5\/25 + 4*x**4\/5 - 4*x**3\/5 - x**2 + 4*x\/5 + 5. Find j, given that t(j) = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12046 + -132500\/11. Let r = -0.4 - -0.43. Which is the fourth biggest value? (a) -5 (b) -0.3 (c) r (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 2*p, 4*g + 3*p = 6*p + 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 464336580 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(22)\/(sqrt(4)\/sqrt(2)) + -5.\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45.48 + 579.\nAnswer: 624.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 35015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46145*d**3 + 2 - 3*d**4 + 5*d**2 + 58*d - 6*d**2 + 46141*d**3 to j*d**4 + q*d**3 + x*d**2 + n*d + i and give n.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4)**(7\/5)\/((j*(j*j*j**5\/j*j*j)\/j)\/j**19) assuming j is positive.\nAnswer: j**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/63)\/((-40)\/96)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*f - 12 = 0, -2*q - 2*f + 7 = -5. Solve -3*d = 2*o + 14, -d = -q*o - 4*d - 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025501 to four decimal places.\nAnswer: -0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(((-9)\/(-6))\/(-3)). Suppose 9 = -2*u + 17. Solve u = -0*d + r*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*i - v + 4, 5*i - v - 40 = 0. What is the smallest common multiple of i and 31?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6949*h**2 + 708792*h - 610. Determine t(-102).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 + 9*b + 35. Let q(u) = -2*u**2 - 5*u - 18. What is -6*h(f) - 11*q(f)?\nAnswer: -2*f**2 + f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-448)\/128*4*(78\/(-77) + 1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 1211?\nAnswer: 8477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*b*h + 47*a**3*b + 1983*a**3*h**3 + 106*a**2*b*h**2 - a**2 + 1729*a*b*h**3 + 3*a*h**2 - 2*b*h**2 wrt h.\nAnswer: 11898*a**3 + 10374*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43597 = f + 43617, -2*f - 45 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*((-24)\/(-15) - 2). Let g = 0 - z. Does 7 divide (-2 - -1) + 17 - g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-1)\/2)\/(32\/(-14720)*-20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46971854 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.8, 3, 1\/2, -52260?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/399)\/(148\/1036)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180217, 360471, 540727, 720985, 901245, 1081507?\nAnswer: 1261771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-3516)\/15)\/(13\/(130\/(-4))) and 9?\nAnswer: 5274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-10)\/4225)\/(6\/((-54)\/9)).\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*y = -56. Let m = 39 + y. Let g = -5 + m. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.802*-166.\nAnswer: -2291.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k + 83. Determine s(-18).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2272 (b) 22 (c) -0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -66*l**2 + 2*l. Let u be r(-1). Let h = u - -169. What are the prime factors of h?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1535280 and 19920?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -26*i**2 - 5*i - 5. Let f(s) = -273*s**2 - 52*s - 52. Calculate -5*f(k) + 52*o(k).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2 + 37 = g + 2*g, g - 971*y - 1951 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29690*5138\nAnswer: -152547220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -81. Let o = 42 + x. Suppose 0 = o*t - 3*w - 177, -3*t - 227 = -7*t + w. Calculate the greatest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -16. Solve -2*r - l*r = -2*o + 7, 2 = 2*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:36 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2761\/4 + -690. Which is the fourth smallest value? (a) -0.4 (b) 0.4 (c) k (d) -2\/9 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (11 - (-3 + 6)) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3726656 and -8.\nAnswer: 29813248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 3*d + 79, -5*d + 2*w + 368 = -3*d + 226 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167.4 + -167.38. What is the biggest value in u, -8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r - 4*r + 12 - 3 + r - r - 6*r - 4*r + 2*r + 4*r - 2*r - 2 + 2 + (2 + 1 - 4)*(2*r - 2 + 2) - 2*r - 1 + 1 + 2*r - r - 3*r + 4*r - 5*r + 0*r.\nAnswer: -11*r + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42343 + 211718\/5. Let s(a) be the second derivative of 16*a**2 + i*a**5 - 4*a**3 + 0 - 11\/3*a**4 - 41*a. What is h in s(h) = 0?\nAnswer: -1, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 54.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*q - 2*q - 8, -5*q - 23 = -2*d. Solve 5*l + 7 = -3*w, w - 4 = 3*w + d*l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402122585?\nAnswer: 5, 107, 751631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + -0.02. Let c = -0.46 - 0.04. Sort c, -0.2, q in decreasing order.\nAnswer: q, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*c - c - 22, -r + 41 = -4*c. What is the units digit of ((-78)\/(-4))\/(c\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 42 - 37. Calculate the greatest common divisor of 32 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16014051 and 46937.\nAnswer: 4267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x. Let b(v) = v**2 - v**2 + v**2. Give b(d(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59145361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -14 (c) -76942\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*-2*sqrt(76) + sqrt(76))*-6)\/(-5*1*sqrt(16)))**2.\nAnswer: 1539\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/10 + (-954)\/(-15). Suppose 4*m - y = 21. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 49*d**3 - 169*d**2 + 489*d - 270.\nAnswer: -(d - 1)**2*(d + 6)*(d + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*g**2 + 4 - 37*g**2 - 4)*(-4*g + 2*g + 0*g).\nAnswer: 158*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 3. Let p be w(-3). Let c be (-15)\/(-2) - (-2)\/(-4). Suppose 5*l + 32 = c, 9 = 2*g - l. Solve 2*b + 2 = -2*u - 2*u, -5*u - b + g = p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (226 + 72 - 99)*(2 - 2 + g) as z + m*g and give m.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20963323.\nAnswer: 1031, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, -2, -56, -132?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f. Let d(w) be the third derivative of -w**5\/30 + 9*w**2. Give x(d(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 + 97. Let r be (1 + 0)\/(15\/555). Let i = -17 + r. What is the least common multiple of a and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4234396 and 4234396 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from {i: 1, w: 1, t: 1, x: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 7:23 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 1. Let o be q(-1). Suppose 7*l = o*l + 2*u + 138, 0 = -l + u + 37. Let h(i) = l*i - 15*i - 19*i. Let s(n) = -17*n**2. What is s(h(t))?\nAnswer: -68*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 176476 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.3 - 9.3. Let r = 0.027 + -0.327. Let y = -4 - -3.8. Sort r, y, i in descending order.\nAnswer: i, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 21. Calculate the smallest common multiple of z and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*g - 581*g = -3432 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 27*t**2 + 115*t + 540. What is the remainder when d(-5) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40265, 80515, 120765, 161015, 201265, 241515?\n\"Answer: 40250*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 less than -22.857120719?\nAnswer: -23.187120719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*r + 66446, -84000 = -5*w - 2*r + 26733. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1307810.259 nanoseconds to weeks.\nAnswer: 0.0000000021623846875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-12 - (-7 - -3)) - 0) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*r + 3*o + 16, -r = 5*o - 9. Solve -h - 5 = r*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - 13.01. Let m = l - -12.9999999. Round m to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5540309.483 to the nearest 1000.\nAnswer: -5540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014772981 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 24*x = -117. Suppose -3*y - 52 = -7*y. What is the greatest common divisor of y and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 198098 + -11?\nAnswer: 198087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -613, -1168, -1729, -2314, -2941?\n\"Answer: -3*i**3 + 15*i**2 - 579*i - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 53 + 7. What is the units digit of 1889\/m + 3\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a meter in centimeters?\nAnswer: 3950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g - 4*s, 4 = 3*s - 5*s. Which is the closest to g? (a) 5 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(4050))**2 - ((-1*sqrt(1000) - sqrt(1000)) + sqrt(10))\/(sqrt(5) - (sqrt(5) - sqrt(220)\/sqrt(11))).\nAnswer: -81000 + 19*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4\/5 - 472*d**3\/15 + 2144*d**2\/5 - 4832*d\/5 + 6944\/15 = 0.\nAnswer: 2\/3, 2, 14, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 170941439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -17*y**6\/120 + 20*y**3\/3 + 42*y**2. Differentiate g(p) wrt p.\nAnswer: -51*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39380716*v**3 + 66809327*v**3 + 135955386*v**3.\nAnswer: 163383997*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-1 - -1) + 5) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2005, -1863, -1723, -1585, -1449, -1315?\n\"Answer: -x**2 + 145*x - 2149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = r, -2*o + 2*r = -o + 7. Let c(q) = 5*q**3 + q**2 - 2*q + 1. Is c(o) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 2*m + 17. Suppose 4*y - 5*y = 5. Let p be r(y). Solve -j = f, 5*j - p*f + 0*f = -35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-4 + -5)**2 + (sqrt(180) + 0 + sqrt(180) + 5)**2 + -5.\nAnswer: 360*sqrt(5) + 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3262 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -648 = -23*u - 10*u + 6*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(2\/15)))\/x**(-13))\/((x\/(x\/x**(1\/8)))\/(x**(-5)*x)) assuming x is positive.\nAnswer: x**(1081\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 1 + (-5 + 1*sqrt(304))*2)**2.\nAnswer: -5120 + 512*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(225) - sqrt(225))\/((sqrt(30)\/sqrt(3))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - -0.0806. Let t = 0.03 + y. Round t to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 125, 123, 117, 107, 93, 75, 53?\n\"Answer: -2*i**2 + 4*i + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000622048556 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94954004 or 94954012?\nAnswer: 94954012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*g + 18, 2*j + 117 = 3*g + 124. Suppose 16 = j*v + 3*q, 2*v - 10*q + 15*q - 14 = 0. Solve 3*i = v*z - 11 + 28, 5*z - 5*i = -30 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 9. Let v(d) = -d**2 - 2. Let h be v(0). Let x be 1\/5 - (-9)\/5. Let o = h + x. Give w(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451251 is divided by 225398?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8116, 8047, 7982, 7921?\nAnswer: 7864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 12:01 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589*f - 398 - 3780 - 29395 = 0 for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1865 or -1418?\nAnswer: -1418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -830 (base 15) to base 16\nAnswer: -735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/57 + -238\/285. Let y = -0.9 + -0.1. Let g = 1 + y. What is the third biggest value in q, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0118776349 to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 11:06 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -4*s + 29, 8 = -23*s - 12*s + 36*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + 1102142?\nAnswer: 1102302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-62)\/(-15) - ((-174)\/45 - -4). Find the second derivative of 11*p + u*p**4 - 13*p + 0 + 0 wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10640 and 73853570?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 4. Let b(s) = -2*s - 4. Determine b(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2379516 and 376?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -36*2.6\nAnswer: -93.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2. Let x(z) = 4494*z**2 + 856*z - 214. Let i(r) = -209*r**2 - 40*r + 10. Let o(v) = -107*i(v) - 5*x(v). Calculate o(n(k)).\nAnswer: -963*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -4. Let o be 3\/(3\/(-2)) - t. Let n(m) = m - 1. Calculate n(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = z + 1, -4*g + 2*z = 4*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*s + s + 2 - 2 + s**2.\nAnswer: s**2 + 50*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:52 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29748, -59561, -89372, -119181, -148988, -178793, -208596?\nAnswer: -238397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 658*v**2 + 122*v - 480. List the prime factors of b(4).\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkx. What is prob of sequence kx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/((-3)\/(-3)*12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.6 - -29. Let f = i - 5.4. What is the nearest to f in 3, 1\/6, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 8. Let x be c(11). Let m(s) = -119*s + 64*s + 54*s + s**3 - 7*s**2 + x. Calculate m(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 76632, -5, 7, -6 in descending order.\nAnswer: 76632, 7, 6, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-3))\/c)\/c**(-2))**5 assuming c is positive.\nAnswer: c**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 21\/2 (b) -2\/7 (c) -1 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268) + -1)*-2)**2.\nAnswer: -144*sqrt(7) + 9076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 181, 186, 191?\n\"Answer: 5*z + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*t**2 + 122*t - 122*t.\nAnswer: 277*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -222*d**2*j**2 - d**2 - 28542*d*j**2 - 52066200*j wrt j.\nAnswer: -444*d**2 - 57084*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242*a**2\/7 + 1429835*a\/7 + 64992\/7.\nAnswer: (11*a + 64992)*(22*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 102 = -3*f. Calculate the smallest common multiple of f and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 3:38 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skk when three letters picked without replacement from {s: 3, k: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011112201 + 102?\nAnswer: -1011112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1 - 5 - 533*k + 544*k. Let y(u) = 33*u - 17. Give 17*t(o) - 6*y(o).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -511240\nAnswer: 153372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87573170 + -8319532619\/95. Let w = b + 4241\/5. Let j = 1979\/266 + w. What is the common denominator of j and -13\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -13*u - 10. Let r be h(-3). Let q = 32 - r. Let w(j) = 25*j + 2. Let d be w(q). Calculate the greatest common factor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 29 = -0*f - 5*x, -f + 14 = -3*x. Let u = 0.5 + 3.5. Let y = -3 + u. Which is the nearest to y? (a) f (b) 0.1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {i: 5, g: 1, s: 1, h: 1, v: 1, k: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -8 + (124 - 192) + 117.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7c46a + -2ab?\nAnswer: -7c748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 0*d + 4 + 14*d - 2 + 2*d. Calculate the remainder when q(2) is divided by (0*(-3)\/(-6))\/(-2) + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 3*j**5\/4 + j**4\/3 + 2*j**2 - j + 155. Let i(r) = -r**3 + r**2 + 1. Determine c(u) - 4*i(u).\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - m = 2*u - 3, -3*m = -9. Suppose -2*j = 2*s - 6, -4*s + 4 = -u. Solve 0 = 4*g - 3*o - 16, -j*g + 4*o = -o - 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y. Let v(s) = -81*s. What is v(u(t))?\nAnswer: -162*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/4 + 21*s**2 + 2485*s\/4 - 642 = 0.\nAnswer: -24, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/3 + 82334104*o**2\/3 + 164668202*o\/3 + 27444700 = 0. What is o?\nAnswer: -41167050, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 210847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3585, 4654, 5715, 6768?\nAnswer: 7813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 81 + 169 = 5*r, 0 = -3*r - 12. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hthttt. What is prob of picking 2 t and 1 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p - 3445 - 468 = 0. What is the highest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 2132470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1541*m**2 + 14581839 + 2*m - 2078*m**2 - 14581841.\nAnswer: -3619*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -6*g + 9*g - 258, -2*g = -3*y - 172. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + -62. Solve m = l + 2*l - v + 5, 0 = l + 4*v - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 3322?\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1058752 and 25276.\nAnswer: 94228928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4125 and 21070445.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3938098 to the nearest integer?\nAnswer: 1984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30192 and 3672?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 10 + 8. Which is greater: 2\/811 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-2)\/sqrt(10) + sqrt(56)\/(sqrt(8) - sqrt(200)) - (4*(4 + sqrt(7) + sqrt(49)\/sqrt(7)))**2.\nAnswer: -704 - 1033*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -52.6.\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = -32. Let q be ((-42)\/15)\/((-4)\/10). Solve x + q*a - 3*a = -21, 4*x = 3*a - g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 26532*o - 132685.\nAnswer: (o - 26537)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 41250 divided by -50\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -5\/4 (c) 0.04 (d) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 3*i**4\/8 - i**3\/6 + 20*i**2 - 3. Let s be g(3). What is the greatest common divisor of s and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oott when four letters picked without replacement from ooottoototo.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 11. Let r(w) = -5*w - 55. Let x(t) = 11*m(t) + 2*r(t). Let f be x(-5). Let q(j) = j - 7. Give q(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 0*p**3 - 2*p**3 + (4 - 4 + 3*p)*(-5*p**2 + 0*p**2 + 3*p**2).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 25*b + 90. Let u be h(9). Calculate the highest common divisor of 45 and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 10*c = 0. Suppose v - 2*v + 11 = c. Let j(i) = 12*i**3 - 2*i**2 - i + 2. Let r be j(2). What is the greatest common divisor of r and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 808046590*d - 699732454?\nAnswer: 808046590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, i: 6, p: 5}. What is prob of sequence aapp?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/18 - 17596\/(-3735)*(-15)\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20408604, 40817214, 61225824, 81634434, 102043044, 122451654?\n\"Answer: 20408610*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - d + 93 = 88, 2 = 3*s + 4*d. Let u(y) = 17*y - 20. Calculate the smallest common multiple of 212 and u(s).\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*c - 23257 - 7205 = -5282 + 1892 for c.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 2*o + 4 = 13*n, 3*o = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159.76 - 165. Let o = 0.24 + y. Put -0.03, o, -1\/6 in decreasing order.\nAnswer: -0.03, -1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k = 30*k + d + 95, 4*d + 156 = 5*k. What is the smallest common multiple of 16 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447555 is divided by 4855?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -355*u - 93*u - 40*u - 262*u - 2 as i*u + y and give i.\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 87\/9 + 2\/(-3). Suppose r + 6 + a = 0. What is the common denominator of -21\/2 and 12\/r*(-70)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, 2, 0.41, -0.1, -2\/7 in increasing order.\nAnswer: -4, -0.3, -2\/7, -0.1, 0.41, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -210734600 to the nearest one million.\nAnswer: -211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 11\/142, 10 in decreasing order.\nAnswer: 10, 11\/142, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 740 - -885. Calculate the smallest common multiple of 455 and z.\nAnswer: 11375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3193 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203 - 137. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13374 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33894 is divided by 15453?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1298 + 815 + 1212 - 314 - 636)*(2*l**3 + 0*l**3 + 0*l**3) as c + g*l**3 + w*l**2 + r*l and give g.\nAnswer: 4750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*y + 15, g = y + y + 1. Suppose -y*n = -3*d + 4191, 20*n = -5*d + 25*n + 6985. List the prime factors of d.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 = 0, 5*f = -7*u + 4*u - 4. Let z(x) = -3 + 3 - 136*x**2 - 72*x**u. Let p(d) = 2*d. Determine z(p(a)).\nAnswer: -832*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 2*d - 1. Let z(l) = -33*l**2 - 14*l - 7. What is -21*w(t) + 3*z(t)?\nAnswer: -78*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1774412\/7 and -253487 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 374*w**2 - 31248*w + 8. What is s(126)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 40. Let u(m) = 8 + 0*m**2 - 5 + m - m**l - 2. Suppose 3*y + 15 = -4*a, -2*y = -a + 2*a. Let s(g) = 5*g**2 - 6*g - 6. Give a*u(z) - s(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, l: 10, g: 1, t: 1, f: 1, u: 1}. Give prob of sequence lg.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42882 = -111*w + 51096 for w.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559032 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(119)*-3)\/(sqrt(448)*2).\nAnswer: -3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10458.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2093 is divided by 102?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.206 + -2.214. Let k = x - -13.52. Round k to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/2 - 107*c**2\/2 - 52*c + 106.\nAnswer: -(c - 1)*(c + 2)*(c + 106)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1755 divided by 18\nAnswer: 195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-6 - -16) + (-1 - -2). Solve 22 = 3*k - 5*s, -f*k - s = k + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 11. Let b(n) = -n + 2. Let u(q) = -4*q + 8. Let l(m) = -26*b(m) + 6*u(m). Let p(s) = -11*l(s) - 4*o(s). Let t(d) = -3*d**2. What is p(t(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -135, -271, -409, -549, -691, -835?\n\"Answer: -r**2 - 133*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**0)\/l*l)*l*l**19)\/(l\/((l\/(((l**(-12)\/l)\/l*l)\/l*l*l))\/l)*l\/(l**(-2)*l)) assuming l is positive.\nAnswer: l**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 7:25 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23210010 (base 4) to base 3.\nAnswer: 2101222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q**2 - 2*q**2 + 6*q**2 + 2*q**2 + 2*q**2. Let s(j) = -52*j - 6. Determine s(w(c)).\nAnswer: 104*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5982398587.\nAnswer: 11, 543854417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 255\/(-20)*4\/(-3). Let g = x - 11. Suppose 20*k = 15*k + 25. Is k smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsi when three letters picked without replacement from ivvsvssvszviv.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 - -114. Is 32 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/366651257 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/11)\/(b\/(b**3\/b*b*b)))\/(b**(-1\/4)*b**(4\/7))*(b**(2\/7)*b)**(-13)*b\/((b*b**4)\/b*b)*b**(-3)\/b assuming b is positive.\nAnswer: b**(-6955\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157 - -65. Let t(h) = -3*h - 17. Let n be t(-13). What is the units digit of n\/(-99) + w\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5195 and 820283227.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/11 + 8\/33. Let h = 3.27 - 6.27. What is the nearest to -1 in h, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/22 + -2 - 414\/99.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - p. Let b(l) = -4*l**2 - 4*l + 1. Let y be (0 + 9\/(-3))\/(-1). Let k be (-2)\/4*2*-7. Let u = k + y. Give u*z(x) - 2*b(x).\nAnswer: -2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, d: 5, b: 2, s: 1, t: 1}. Give prob of picking 2 d, 1 t, and 1 s.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:57 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2434476 by 4.\nAnswer: -608619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - -1.5. Let t = b - 0.9. What is the biggest value in t, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 6146328.\nAnswer: -5\/6146328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 153 - 174 = 0. Solve -5*x + z = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1122, -2233, -3328, -4407, -5470, -6517?\n\"Answer: 8*a**2 - 1135*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -986921 by 983.\nAnswer: -986921\/983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 288*y - 1687. Let s be i(6). Solve -s = 5*u + o - 2, -3*u = -2*o - 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/7)*f*f*(f*f*f*f**(-2\/7))\/f)\/(f\/f**4*f\/((f**(-2\/7)\/f)\/f)*f))**33)**(-5\/12) assuming f is positive.\nAnswer: f**(-1045\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 22. Let o = -1.999977 - b. What is o rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.2 and 4021388.\nAnswer: 8847053.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 divided by -19.\nAnswer: 177\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 2 - 2 + (-2*z + 3 - 3)*(7 - 2 - 3) - z + 4 - 4 + z + 2*z - 5*z)*(-19*z**2 - 16 + 14 + 4 - 2*z) as q + l*z**2 + a*z + u*z**3 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 9. Let w = 34 + i. Let p = 28.9978 - w. What is p rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-80)\/3)\/4)\/(-2)*114. Suppose -9*g + 4*g = -d. Let a = 6 - -20. Calculate the remainder when g is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 200?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 84*h + 425\/6*h**3 + 105*h**2 + 0 + 1\/4*h**5 + 55\/3*h**4. Determine g, given that o(g) = 0.\nAnswer: -42, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*q**3*s**3*x - 16*q**3*s + 6*q*s**3 + s**3*x wrt x?\nAnswer: 5*q**3*s**3 + s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -368.406 minus -0.5?\nAnswer: -367.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -10*o + 9 - o + 3*o. Let c(n) = 7*n - 9. Let a(k) = 4*c(k) + 3*q(k). Is a(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1267663706 and 194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51613914386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0.1, -23, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 39.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/60 - 13*y**4\/24 + 7*y**3\/2 - 2*y**2 + 190. What is p(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4*(-13)\/(-416))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 10\/1622431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 6*d**2 - 16*d + 62. Calculate r(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-1 - (-1 + 10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**4 - 21*h**2 + 165?\nAnswer: 12*h**3 - 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Let r be j(-2). Suppose 5*q + 470 = -4*n, -4*q + 5*n = 161 + 174. Let f = -812\/9 - q. Which is the biggest value? (a) -3 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1898310*v**3 + 24*v**2 + 29978*v?\nAnswer: 11389860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 185 = 6*p - 2*p + 94*z - 98*z, -73*p - z + 195 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**4 + 1375*u**3 - 152190*u**2 + 1939760*u + 10280800 = 0. Calculate u.\nAnswer: -362, -4, 20, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -256855.\nAnswer: 4\/256855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 151 - -5?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14106\/2826*3 + -15. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Suppose -x*n + 8 = 2. Find the third derivative of -i**n - 4*i**2 + 3*i**2 + 2*i**3 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23752238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - p)*(7 + 1 - 1)*((2 + 1 + 0)*(0 - 6 - 1)*(-4 + 7 - 4) + 0 - 3 + 0) to x + o*p and give o.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11163 a factor of 1556903610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148 - -273. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 15. What is g(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*a - 31 = 0, 16627*j - 24 = 16629*j - 4*a for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v. Let z(s) be the first derivative of 7*s**2\/2 - 8. Determine g(z(d)).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47792?\nAnswer: 2, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrdc when four letters picked without replacement from {c: 2, i: 7, z: 3, f: 2, d: 1, r: 5}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 3*i**2 - 6*i - 17. Let d be x(5). Let z be 1\/d*3*1. Is z at most as big as 22\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 1 - (19 + -7 - 15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5543384 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - 0.7. Let k = 2 - y. Let z = -0.1 - -1.1. What is the nearest to z in -0.5, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-124)\/186*(9859\/(-2) - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + 2 + sqrt(288)*-5 + -4 + sqrt(288))*4 + 3 + 5)**2.\nAnswer: -1920*sqrt(2) + 73753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824514 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3.09 times 0.2\nAnswer: 0.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**4 + 168*z**3 + 148*z**2 - 672*z - 656 = 0.\nAnswer: -41, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*l**2 + 1219676*b**2*l + 4*b**2 - 3*b*l**2 - 61*b - 130*l + 65 wrt b?\nAnswer: 2*l**2 + 2439352*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211112112021 - -2?\nAnswer: -1211112112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - 82*u + 109. Give w(22).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 1118.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4014, -15936, -35804, -63618?\nAnswer: -99378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*g - 731 + 198 - 647 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*n + 1)*((3 - 4 - 2)*(48 + 21 + 10) + 1 - 1 + 1) in the form m + b*n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 2:46 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g**5\/9 + 76*g**4\/9 - 8*g**3 - 52*g**2\/9 + 86*g\/9 - 8\/3 = 0.\nAnswer: -1, 3\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(35) - (-2*sqrt(3500) - sqrt(3500)) - sqrt(385)\/(-1*sqrt(11)))\/(-1*(2*sqrt(847) + sqrt(7))))**2.\nAnswer: 6707\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 605.8 * 12103.\nAnswer: 7331997.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -3\/7, 0.1, 126, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*68005\nAnswer: -40803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -335850.242 rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/3 + -85\/21. Let p = 0.18 - -0.12. Which is the closest to 2? (a) -3\/7 (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1311*i**2 + 152. Let o(p) = 43*p**2 - 5. Let z be (1142\/(-6) - 1\/(-3))*(-2756)\/3445. Determine z*o(m) + 5*h(m).\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d + 134*d + 212*d - 30*d.\nAnswer: 275*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 8) to base 2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = -5*s + 30, 3*q - 4*s = 9. Let r = -1 + 2. What is the remainder when q is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 74327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k - 8 = -2*c, 0 = -k + 5*c - 20. Let i(t) = -t + 14. Let p be i(14). Suppose 0 = -p*f + 3*f + 2*v + 4, -2*f - 8 = -4*v. Is f smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**3 - 12*x**2 + 3*x - 8. Let l(y) = 11*y**3 - 36*y**2 + 8*y - 28. Calculate -7*h(p) + 2*l(p).\nAnswer: -6*p**3 + 12*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 + 2 = 0. Let u(j) = -4*j - 4. Let m(y) = -y - 1. Determine r*m(i) - 2*u(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*d**4 - 5124*d**2 - 273402*d.\nAnswer: -108*d**2 - 10248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 532.3356 decades?\nAnswer: 5323.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1922 + 1937.13. Let x = -14 + g. Let l = x - 0.13. Which is the biggest value? (a) -3\/4 (b) 0.2 (c) l (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(91) - 2*sqrt(91)) + sqrt(91) - sqrt(91))*-6)\/((sqrt(7) - (sqrt(1008) - sqrt(1008)*-2)) + sqrt(1008)).\nAnswer: 6*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**6\/180 + 7*j**5\/120 + j**4\/8 + j**3\/6 + 3*j. Let t(y) be the second derivative of m(y). Does 12 divide t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-57)\/76*(-2)\/9)\/((-4)\/(-9)). Let t(k) be the first derivative of 1\/8*k**2 + s*k - 29 - 1\/24*k**3. Solve t(b) = 0 for b.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 3*n**2 + 5*n + 1. Let z be q(4). Suppose 6*j - j = z. Solve -3*o - 2*c - 2*c - j = 0, -5*c - 3 = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3280 is divided by 1086.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 861778266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 + 3. Let p(z) = 467785*z. Calculate l(p(y)).\nAnswer: -875291224900*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/65)\/((-6576)\/(-2740))?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -4*l - 50 + 3 - 9, 4*r + 176 = -12*l - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24949648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 19 + 11 = 0. Let y(f) = f**3 + f**2 + 6*f - 6. Let i(v) = 6*v**3 + 4*v**2 + 31*v - 31. Let q(k) = 2*i(k) - 11*y(k). Calculate q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101001100110 - 1011100?\nAnswer: 10001101000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11107 and 53.9.\nAnswer: 598667.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4390 - 35*c + 8738 - 17*c - 4406.\nAnswer: -52*c - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6328 = -368*r - 440. Which is greater: r or 335\/21?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 + 375*s + 246. Let k(p) = -2*p + 13. Give f(k(u)).\nAnswer: 12*u**2 - 906*u + 5628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(130))\/((sqrt(160) + sqrt(10))*2).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276535 by 5.\nAnswer: 55307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 e, and 1 s when three letters picked without replacement from sexxxqsqxeex?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22034 = 5*g + 5*f - 3*f, 0 = 5*f + 15. Let r be g\/20 - 2\/5. What is the highest common divisor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = 0. Suppose -2*c - 3*c + 15 = l. Solve 0 = c*d + 7 + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6866357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249 + 250. Let z(d) = 5*d - 3. Let f be z(o). Solve -2*v = -6*v - f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86461780 is divided by 328?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u**2 - 10*u - 12. Let p be n(6). Find the common denominator of (p\/165)\/(54\/40) and -22\/87.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 16*h**2 - 13*h + 9. Let g = 92 - 77. Let b be y(g). Suppose -41*a + 168 = -b*a. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-16))\/((-94)\/752))\/(8\/224)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -10*z**2 - 31*z - 4. Give u(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 25 - 25. Let v(k) = 3*k**2 - 5*k**2 - 5*k**2. Determine j(v(d)).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 2)\/(-1) + 2. Let m(i) be the third derivative of 0*i - 3*i**2 + 0 + 2\/3*i**3 + 1\/8*i**4. Determine m(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/2725 and -117\/98725660.\nAnswer: 493628300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17863974 is divided by 525.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, e: 5, n: 4}. Give prob of sequence vee.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 11\/(-7))\/(32\/(-112)). Suppose m*c - c = 24. Calculate the highest common divisor of c and 384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*i + 5 = 82*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 55. Solve -m = 5*g - 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c**2 - 5*c + 1. Suppose 2*l + 189*n = 187*n + 6, 4*n - 32 = 0. Let j(m) = -17*m**2 - 9*m + 1. Determine l*q(k) + 3*j(k).\nAnswer: -11*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 776, 1562, 2356, 3158, 3968, 4786, 5612?\n\"Answer: 4*f**2 + 774*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9379?\nAnswer: 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10956 - -1310. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236304508 to the nearest integer?\nAnswer: 15372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000847022 rounded to 6 dps?\nAnswer: -0.000847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -6ff5?\nAnswer: -6ff0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-10 + 5) - (-6 - (28 + -7)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1 + 26 = 0. Let x = c - -54. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 86\/(-2) - 4\/2. What is the common denominator of (-15)\/12*(-618)\/b and (-6)\/(-21) + (-454)\/(-126)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*c = 13, 0 = 3*a - 3*c - 25 - 8. Solve -3*n = -5*k, -5*n = -k + a*k - 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*n + 330 = 3*q, -2*q + 134 = -3*n. Suppose -6*h + q + 32 = 0. Let j = h + -11. Solve -j*b + b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 11*(-34 - -1). Let b = w - -363. What is the common denominator of b and -29\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s + 11*p = -3*p + 6*p + 174 + 2, 7*p = 4*s + 75 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151593.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 26*x. Let k(b) = -13*b. What is k(f(n))?\nAnswer: -13*n**2 + 338*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 83816335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 36 - 11*n**2)*((1 - 1 - 3)*(3 - 1 - 1) + (-1 + 3 + 1)*(2 - 1 - 3) + (-2 - 2 + 2)*(-4 + 1 + 5)).\nAnswer: 143*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 5*x - 4. Let r be j(-3). Suppose 32*u - 34*u - 10 = 0. Let q be (-1 + u\/(-3))\/((-44)\/(-264)). Solve -5*z - 15 = 0, d = -r*d + q*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 877 = 5*a + 882 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 12) to base 14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 496\/5 - 99. Sort -1\/2, -0.1, b, -5 in descending order.\nAnswer: b, -0.1, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3183, 6366, 9549, 12732, 15915?\n\"Answer: 3183*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -6\/319499, 0.11.\nAnswer: -6\/319499, 2\/21, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) 2\/7 (c) 0.0218 (d) -8 (e) 0 (f) -1\/52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-56)\/147 - ((-2)\/(-6) + -1). Suppose 0 = q - 0*q - 5. Suppose 2*w = -3*s - 2*w + q, 6 = -2*s + 2*w. What is the closest to s in -5, 3\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5082720 and 15488?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f**2 - 4*f - 3 + 2*f**2 + f**2. Let q be u(-2). Let c(g) = -3*g - 14. Calculate the lowest common multiple of c(q) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkdddkdddkdddddkkd. What is prob of picking 4 k?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 495616*x**3 - 402431744*x**2 - 6859740*x - 29232.\nAnswer: 4*(x - 812)*(352*x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -16*n. Let a(l) = -6*l**2 - 5*l + 5. Let z(y) = y**2 + y - 1. Let p(j) = -a(j) - 5*z(j). Determine t(p(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q = -15*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/296?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, m: 6, v: 4}. Give prob of picking 1 m and 2 v.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 6*u**2)*(u**2 - 3*u**2 + 3*u**2)*(92*u + 85*u + 362*u).\nAnswer: 3234*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 787206 to the power of 1\/2, to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570, 637, 3908, 10275, 20770?\nAnswer: 36425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4306*s + 4042*s - 29*s - 1177*s - 2)*(-2*s**4 + s**4 + 2*s**4).\nAnswer: 7142*s**5 - 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 11 = 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/72 and 23\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*(-27)\/6. Let o be (3 - 3)*(2 - m). Suppose -2*f + 8 = 2. Sort -3, o, f in decreasing order.\nAnswer: f, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 0.011.\nAnswer: -3.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 10*y**2 - 8*y + 6. Let s be l(9). Suppose 4*k = -k - s. What is the units digit of k - 0 - -2*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 19*v**6\/3 - 19*v**4\/2 - 71*v**3\/3 + 10*v**2 + 1319. What is the third derivative of m(a) wrt a?\nAnswer: 2280*a**2 - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhddhddhllhlllhl. Give prob of sequence ddl.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 16*w - 2394. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1103*s - 583 - 2062 = 1537 + 5745 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51431936 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 332 and 20916.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24684099, -49368197, -74052295, -98736393?\nAnswer: -123420491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a factor of 1719371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + -5. Let b = -7 - q. Let g = 388 - 364. What is the greatest common factor of g and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11354 (base 8) in base 15?\nAnswer: -167e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -25*i. Let o(f) be the second derivative of 5*f**3\/2 + 463*f. Determine o(p(h)).\nAnswer: -375*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 354603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p + 138. Let x = p + -43. Find the first derivative of -2*y + 6*y + x*y - 4 wrt y.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 37 - (12 + -16 + -12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 0*t**5 + 2\/3*t**3 + 0*t**6 + 0 + 0*t**2 - 5\/7*t**7 + 1\/4*t**4 + 73*t. Find the third derivative of n(j) wrt j.\nAnswer: -1800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p - 6 - 74. Let g be p - 5\/((-15)\/3) - -121. Calculate the highest common divisor of g and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2560309 is divided by 161.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160*o**6 + 218392*o**3 - 28*o**2 - 477689*o + 3?\nAnswer: -19200*o**3 + 1310352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 39 = -17. Suppose -2*s + 20 = 2*g, 0 = 5*g - m*s - 42 - 17. Let b be (g - -289)*(-6)\/5. Round b to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 2*i. Let f(t) = 870*t**2 - 1160*t. Let r(d) = -f(d) + 580*o(d). Let q(a) = a**2. Determine q(r(c)).\nAnswer: 84100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 2*z. What is the common denominator of (9\/(-10))\/((-54)\/324) and s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -0.14, 8, -0.7, -4.54?\nAnswer: -4.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 220 + 52 - 34 - 10 + 118.\nAnswer: -5*d + 346","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 + -166.5. Let z = y + 23.49999686. What is z rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 + 264*a**3 + 260*a**2.\nAnswer: 4*a**2*(a + 1)*(a + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.0668 - -0.0668. What is the second smallest value in -4, -293.7, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + w = -17, -3*p - 4*w - 20 + 3 = 0. Suppose 4*d - 5*g + 1 = -10, d + 1 = 3*g. Which is greater: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1716, 1707, 1698, 1689?\nAnswer: 1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-123)\/(-7) + 21\/49. Let o(c) = -s + 5 + 15 + 2*c. Calculate the remainder when 22 is divided by o(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*k**2 - 238*k**2 - 227*k**2 + 3*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131507.\nAnswer: 131507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.036 + 0.686. Round c to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 2*j**2 + 3*j**3 + (-4*j**2 + 6*j**2 - j**2)*(-j + 0 + 0) - 4*j**3 + 3*j**3 + 0*j**3 + 0*j**2 + 0*j**2 - 3*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94 + 98. Suppose -7*k - 11 + j = 0. Is 1\/6 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9245, 9186, 9095, 8978, 8841?\nAnswer: 8690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -925205479\/4944 - -187137. Find the common denominator of 5\/84 and o.\nAnswer: 34608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.81 times -5343?\nAnswer: 9670.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/6 of a day?\nAnswer: 5520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -69, -79, -103, -147, -217, -319, -459?\n\"Answer: -x**3 - x**2 - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1716, 1719, 1724, 1731, 1740, 1751?\n\"Answer: f**2 + 1715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5*n\/(n\/(n*n**(-3))))\/(n\/n**(-5\/3)*n**(2\/7)))\/(n**0*n\/n**4*(n**1)**(-22)) assuming n is positive.\nAnswer: n**(526\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**2 + 240*z**2 - 33*z**2 + 193*z**2 + 358*z**2.\nAnswer: 772*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -74655922?\nAnswer: 1\/37327961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, f: 3}. What is prob of picking 2 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, n: 6, y: 10}. Give prob of picking 2 p and 2 n.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 24*t**2 + 2*t. Let i(f) = 94*f**2 + 9*f. Let s(r) = -2*i(r) + 9*j(r). Let q(c) = -4*c. Determine s(q(v)).\nAnswer: 448*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*x = -12*x - 32*x - 9030 for x.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:59 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 2*m**3\/27 - 2*m\/9 - 16. Factor a(w).\nAnswer: 2*(w - 1)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) 6\/379 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8689, -69501, -234547, -555943, -1085805, -1876249?\n\"Answer: -8686*v**3 - v**2 - 7*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007438 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((-7 - -11) + 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -554*w**2 - 1. Let q(n) = -3567*n. Determine q(o(s)).\nAnswer: 1976118*s**2 + 3567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*t - 84*t = 275. What is the remainder when 117 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4 + 13*u**3 + 4 - 1 + 7*u. Let l(p) be the second derivative of -p**5\/5 - p**3\/3 - p**2 + 16*p + 138. Determine -6*b(s) - 21*l(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*y - 93, -y = -3*w - 0*y + 67. Let i be w\/(-4) + (-2)\/(-4). Let r = 6 + i. Sort 5, r, 3.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 8. Let n(d) = -1. Determine -22*n(h) - 2*x(h).\nAnswer: -2*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13104 divided by -3276.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-3) + 3 - (-5 + 2). Suppose d*n + 4*n = 44. Calculate the remainder when 14 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37 + 23*d**5 + 2*d**5 - 62*d**5 + 2*d - 12*d**5 - 55*d**5 wrt d.\nAnswer: -2080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (114 - 115 - 3*g**2 - 9*g**2)*(-6 + 1 + 2 + (-3 + 3 + 1)*(0 + 4 - 3)) as b*g + f*g**2 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 8 + 1. Let g(n) = 3*n**2 + 2*n - 55. Let w be g(4). What is the tens digit of (-11 - w)*(l - 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 3*t**2 - 5*t - 14. Give h(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 49\/4 of a second?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 c, and 1 s when four letters picked without replacement from sscjccqqc?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uur when three letters picked without replacement from {r: 9, u: 4, s: 6}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*q - 14*q = 309 + 328 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7. Let v = 2 - w. Differentiate -5 + 4 - 2 + v*h wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4060309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 84 = o. Let s be (-6*(-3)\/o)\/1. Let l be (-26)\/168 + 6\/(-63). What is the nearest to l in -0.4, -5, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 + i**3 + i**3)*(-3 + 0 + 4) + (4 - 4 - 1)*(-3*i**3 - i**3 + 5*i**3) - 2*i**2 + 2*i**2 + 2*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 2)*(-544 + 492)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 - 83*d + 1021. What is t(-52)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/23, -6, -0.7, -28, 9\/8?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1399*x**2. Let p(c) = 5*c**2. Give p(g(n)).\nAnswer: 9786005*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2. Let z(r) = r**2 + 10*r + 1. Let k(n) = -3*n**2 - 89*n - 6. Let p(o) = -k(o) - 6*z(o). Give l(p(c)).\nAnswer: 27*c**4 - 522*c**3 + 2523*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000023693 to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1506, 7748, 18156, 32730, 51470, 74376?\n\"Answer: 2083*p**2 - 7*p - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 31 + 1 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 467 = 2*i - 1026, -5*n + 5*i - 2495 = 0. Let c = -157 - n. What is the greatest common divisor of c and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 + -109. Let o(c) = 6*c**3 + 3*c**2 + 3*c - 4. What is the remainder when o(j) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*v - 33, 14 = 3*y - v - 5. Solve 3*a - 2*x + 4 = 0, y*a - 2*x - 3 + 7 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47234 and 12882?\nAnswer: 141702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14393.328 months in centuries?\nAnswer: 11.99444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 811649682 times 0.3?\nAnswer: 243494904.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3152, 18083, 42954, 77753, 122468, 177087, 241598, 315989?\nAnswer: 400248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002612 to six decimal places.\nAnswer: 0.000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9166, -26147, -54448, -94069?\nAnswer: -145010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20, -3\/2, 0.7, 16, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3 - 680*m**2 + 122012*m - 4010112 = 0. What is m?\nAnswer: -288, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/17 - -13\/34. Let z be (-6 - (-208)\/34) + 74\/(-51). Let l = 0.076 + 6.924. Which is the nearest to l? (a) w (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-12)\/(660\/77)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404609 is divided by 5780.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2738507 minutes?\nAnswer: 16.431042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1180, -0.08, 2, -5 in decreasing order.\nAnswer: 2, -0.08, -5, -1180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7240519.4 * 0.5.\nAnswer: -3620259.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*c - 84. Let j be 6\/8 - (-507)\/c. Let p = j + -38. Solve -6 = -p*a + 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -309.5 - -418. Let f = -108 + t. Let i = 0.13 + 4.87. What is the fourth smallest value in f, 2, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*c**3\/7 - 636*c**2\/7 - 152*c\/7 + 48\/7 = 0.\nAnswer: -2\/5, 2\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49705 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/4))**(-5)\/((t*t*(t\/(t**(-1\/9)*t))\/t*t)\/t*t**9) assuming t is positive.\nAnswer: t**(-679\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c**2 + 116*c + 263. Calculate v(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2. Let u(g) = -175*g**2 + 25*g - 50. Let l(p) = -29*p**2 + 4*p - 8. Suppose 5*k - 13 = 112. Let r(j) = k*l(j) - 4*u(j). Give m(r(y)).\nAnswer: -625*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**3 - 76*d + 869 wrt d?\nAnswer: 9*d**2 - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -48. Let a = 17.6 + 2.4. Let v = a + s. Put 2, -1\/6, v in increasing order.\nAnswer: v, -1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + 0 + 3 - sqrt(1584).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151 + -120. Factor -j**2 + 121 + 7*j**2 - 5*j**2 + o*j - 9*j.\nAnswer: (j + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -383540 or -383643?\nAnswer: -383643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 + 0*y**4 + 9*y**4 - 17 + (2*y**3 + 0*y**3 + 0*y**3)*(y - 2*y - 3*y).\nAnswer: y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -930037 by -6.\nAnswer: 930037\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -252 - -256. Let a(z) = -2*z**3 + 2*z**2 - 3*z. Let p = 6 + -3. Let s(u) = 0*u**2 - 2*u - 3*u**p - 2*u + u**2 + u**2. Determine v*s(h) - 5*a(h).\nAnswer: -2*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*c + 10329 = -r, -25890 = -5*r + c. Suppose -5*x - r = -68622. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, 0.5, -45, -0.15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 39, 56, 73, 90, 107?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -539, -554, -569?\n\"Answer: -15*h - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 11:45 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -36*l**2 + l - 1. What is r(1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + 7. Let y = -39.85 + r. Let i = y + 1.85. Which is smaller: 2\/3 or i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(30\/28))\/((-72)\/180)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.25088 * -0.132\nAnswer: -0.03311616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407135 + 408726 = -37*p for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbobrobborbb. What is prob of picking 1 r and 1 b?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.9 * 34.\nAnswer: 812.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1190 is divided by 309?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f**3 - 12*f**3 + 2 + 6 + (-1 + 1 + 7*f**2)*(f + 0*f + 3*f) + (3*f - 5*f + 0*f)*(-4*f - f**2 + 4*f) as c*f + a*f**2 + o*f**3 + k and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n + 20 = 0. Suppose 0 = -15*q - q - 12*q + 56. Put -4, q, -125, n in decreasing order.\nAnswer: n, q, -4, -125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + 8 + 2\/(-1) - -7. Let i be (y\/(-6))\/(-1*8\/60). Suppose 2*q + 3*w = 3*q - 1, 3 = q - i*w. Which is bigger: -8\/7 or q?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318 and 183220841.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -564919 divided by 34?\nAnswer: -564919\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*r + 1)*(-r - 2*r + 4*r) + 2*r**2 - r**2 + 11 - 7.\nAnswer: -r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 38 = 51 - 29 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 2*a**2 - 2*a**4 + 0*a + a**2 + a**3 + a as c*a**3 + b*a**2 + k*a**4 + l + p*a and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366238850 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(3\/18 - 0). Let h = 9 - k. Let r(o) = 4*o**3 - 3*o**2 - 2*o - 4. Is r(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 626 - 611 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.1 + -10. Let z = -0.100006 + i. What is z rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c0937 - 1?\nAnswer: -2c0938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + n + 17 = z, 4*n - 4 = -4*z. Suppose -z*d = -t + 171, -4*d + 9*d - 935 = -5*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Which is the third biggest value? (a) 3\/7 (b) o (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(6 - (-12)\/(-3)). Is ((-2395)\/10)\/(u\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.51 in 1\/21, 12, -1?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -435\/8, 2\/10661, 0.05 in decreasing order.\nAnswer: 0.05, 2\/10661, -435\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k**3 - 11*k - 9. Let l be s(-4). Suppose -5*p - 2*f + 810 = -145, 0 = -3*p + 4*f + l. What is the highest common divisor of p and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s - 1. Suppose -7 = -4*d - 11. Give w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -1.1. Let n = 8.25 - 6.25. Which is the closest to -2\/7? (a) n (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 + 2.2. Let x = 89 + -88.5. Which is the second smallest value? (a) 3 (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2380*v**3 + 4*v**2 + 36*v - 5186357?\nAnswer: 7140*v**2 + 8*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*f**2*m**3*w**2 - f**2*m**2*w + 15772450*f**2*m*w**2 - 4491*f**2 - 17733*f*m**3*w wrt w?\nAnswer: 36*f**2*m**3 + 31544900*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**7\/2520 + 137*m**5\/60 - 2*m**2 - 44*m. Let t(i) be the third derivative of a(i). Let b(c) = -194*c. Calculate t(b(y)).\nAnswer: -388*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111\/259*((-2 - 0) + 9)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 55292760\nAnswer: 1\/55292760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 0.05 (c) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 21. Let r be d(16). Suppose -30 = -16*t + r*t. Find the third derivative of -6*i**t + 0*i**6 + 12*i**2 - 12*i**6 wrt i.\nAnswer: -2160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 207*u**5\/4 + u**4\/12 - 5851*u**3\/6 + 2596*u + 1. Find the second derivative of i(f) wrt f.\nAnswer: 6210*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2 (b) 545 (c) 4 (d) -4 (e) -1.35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 g, and 1 j when four letters picked without replacement from {j: 7, g: 3, p: 6, m: 3}.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 1, w: 1, p: 4}. Give prob of picking 2 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/(3\/54). Differentiate 2*y**2 - 8 + 0*y**2 + y**2 - t*y**2 with respect to y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21, -30, -39, -48, -57, -66?\n\"Answer: -9*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*m = 7*m + 10, 0 = -2*r + 2*m + 24. Suppose 15 = 3*w, -a + 0*a + r = w. Let p be 1*17 - a\/(-4). Calculate the greatest common divisor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjuqmq. Give prob of sequence qq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, 1, 3 in descending order.\nAnswer: 21, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15692 greater than -16047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -12*b + 562. Suppose -2*a + 692 = -0*a. Suppose 3*g - g - a = 0. What is the remainder when g is divided by b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = 0, 3*c + 163 = 2*n - 107. What is the remainder when 284 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - x - 4. Suppose 7 = q - 0*h + 2*h, 26 = -2*q + 4*h. Let j be w(q). What is the least common multiple of 20 and j\/(5\/(-2) + 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 44 + 1265 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - 0. Let j = -0.34 + -0.06. Let f = -2.531 - -0.531. Which is the second biggest value? (a) j (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from gpusz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 3637369.\nAnswer: -10\/3637369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196 + -180. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479*m**2 + 2494*m**2 - 279*m**2.\nAnswer: 2694*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1826878 + -426878. Round w to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14205651*o + 14205651*o - 8*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3299 or 3302?\nAnswer: 3302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z + 3*z**4 + 2*z**4 - 2*z**4 - 2*z**4 + (-5*z + 4*z + 0*z)*(3*z**3 + 0*z**3 - 4*z**3).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1560*s + 130. Let v be k(4). What is v rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4.1. Let u = -122.45 - -123. Let o = u + -0.5. What is the closest to o in 1, q, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.81752 and -17.484.\nAnswer: -18.30152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1721193901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -6. Let o be (-2)\/h*1\/(-5). Suppose 0 = 3*x - 2*u + 3, -5*x - 5 = 4*u - 7*u. Which is smaller: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4793 - 6043962\/1261. What is the common denominator of l and 57\/52?\nAnswer: 5044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22033, 22113, 22247, 22435, 22677?\nAnswer: 22973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -4*x + 6, 12*i - 10*i - 8 = -4*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4074 - 4072. Solve -c*x + 47 = 33 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + s**2 - 23 + 5*s - s**3 + 23 as t*s + n + i*s**3 + z*s**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.85479 to two decimal places.\nAnswer: 4.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*3)\/sqrt(6) - sqrt(3744)*1)\/(-2*sqrt(2)*5 - (sqrt(2) + (sqrt(200) - 1*sqrt(200)))).\nAnswer: 9*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j*j\/(j\/((j**0\/j)\/j))*j*j*j*j))*j)**23)**(-48) assuming j is positive.\nAnswer: j**(-5520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:52 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 72143?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -347 - 46*r**2 + 700 - 353. Let j(n) = 2*n - 3. Let c(b) = -6*b + 10. Let d(q) = -3*c(q) - 10*j(q). Calculate i(d(k)).\nAnswer: -184*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -414*u - 409*u + 268*u + (u - 3*u + u)*(-1 - 5 + 5).\nAnswer: -554*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 9*d + 20. Let i be p(6). Let z(v) = v**3 - v**2 + 5*v - 5. Let k be z(i). Let w be (-3)\/(-4 - -13)*-1*k. Solve w = -4*h - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2030, 5973, 11812, 19547, 29178, 40705?\n\"Answer: 948*w**2 + 1099*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 43. Let z = l + 12. Calculate the smallest common multiple of z and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 2*w + 3. Let z be y(-2). Suppose 279 + 195 = z*b. Let g = b - 108. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -52433202?\nAnswer: -52433211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Factor -1419*q**3 - 36900*q**2 - 156*q.\nAnswer: -3*q*(q + 26)*(473*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -6008435?\nAnswer: -4\/1201687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 62*s**2 + 3*s - 12. Is m(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z. Let t(c) = -2*c**3 - 12*c**2 - 4*c - 18. Let o be t(-6). Let h(l) = -3*l - 3*l + 6*l**2 - l**3 + 3*l - 3*l. Calculate o*m(y) - h(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 35879.5 milliseconds?\nAnswer: 35879500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 4*d**2 - 5*d + 6. Let q be z(5). Suppose -4*i = -5*u + 327, -3*i = -i + q. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*n - a, 6*a - 5*a = 4*n - 45. Calculate the remainder when 257\/7 - (-2)\/7 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 14*m + 74 = 6 - 35, -4*m - 73 = 9*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 92.\nAnswer: 17\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -178 - -196. Sort r, 3, -4 in decreasing order.\nAnswer: r, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 491916448.64495?\nAnswer: 491916448.24495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2301005 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:09 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1010111001101010100011 (base 2) to base 5\nAnswer: -1212421020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1191*a - 3577. What is h(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**4 + z**3 - z**2 - 1. Let b(d) = 58*d**4 - 2*d**3 + 2*d**2 + 5*d - 1. Let n(r) = b(r) + 2*v(r). Find the second derivative of n(h) wrt h.\nAnswer: 672*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 239, 499, 809, 1193, 1675, 2279, 3029, 3949?\n\"Answer: 4*c**3 + c**2 + 229*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920) + -2*sqrt(1920)*-2 - -2*(2*sqrt(1920) - sqrt(1920)))\/((1*sqrt(192) + sqrt(192))\/(sqrt(2) + sqrt(250)\/sqrt(5))).\nAnswer: 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 >= -1.006224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -989073 by 989073.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 + j**2 + 2*j**2. Let q = 298 - 287. Let c(l) = -12*l + 0*l + q*l. Calculate b(c(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/12 + (-663)\/(-4). Let f be (2\/(-1))\/((-22)\/m). Suppose 5*c = -f, -2*k - 4*c + 2*c = 0. What is the closest to -1\/6 in -0.3, -1, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1848969309 to the nearest integer?\nAnswer: 43000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 848795.7m in centimeters?\nAnswer: 84879570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783765 is divided by 1021.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-580)\/8)\/((-2)\/4). Suppose 5*m - 5*z - w = -z, 3*z - 15 = 0. Suppose 0 = -2*v - v + m. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.35 plus -5926610?\nAnswer: -5926561.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 + 2 = 0. Let y(r) = -r - 1. Let w be y(-7). What is the highest common divisor of t and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.22 + 16.97. Round g to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 538 + -537 - (-20)\/6*((-42)\/15 + 0).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13299, 26599, 39899, 53199, 66499, 79799?\nAnswer: 93099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 26. Let t = -0.3 + 1.5. Let x = g - t. What is the biggest value in x, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7643151953.\nAnswer: 61, 1223, 102451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1215*c - 7. Let k(t) = 1061*t + 6. Let a(r) = -7*k(r) - 6*u(r). Let x(h) = 4*h**2. What is x(a(m))?\nAnswer: 75076*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157838.99982 + 157835. Let m = r - -4. What is m rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2850437516\/55 - 51802097. Let b = a + -24039. Calculate the common denominator of b and 181\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.38 + 0.42. Let o = 1.8 - x. Let y = 47 + -44. Sort y, o, 1\/4 in descending order.\nAnswer: y, o, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*28\/(-42).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-6)\/(-4) - -3. Let b(c) be the third derivative of 1\/4*c**5 + 0*c + 1\/6*c**3 + 7\/24*c**4 + r + 2*c**2 + 3\/40*c**6. Factor b(k).\nAnswer: (k + 1)*(3*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/8 + 12987*c\/2.\nAnswer: 3*c*(c + 17316)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 7. Let x be r(6). Suppose -4*c + 3*c = 2*m - 436, -x*m + 2*c = -1108. Is 11 a factor of m\/(-32) + 7 - 87\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 138857628 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 766.7707mm in nanometers?\nAnswer: 766770700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 669082207 - 22*p - 669082207.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1244565\/4 or 311142?\nAnswer: 311142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f = 4*w - 2, 0 = -3*f - 3*w + 12. Suppose f*d - 5 + 1 = 0. Let z be 21 - ((-20)\/5 + 7). Solve -2*i = -4*h + 14, -2*i - d*i - 2*h = z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 42, 83, 138, 207?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + a - 40*a)*(-2*a + 7*a**4 + 2*a).\nAnswer: -301*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21713480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = 0, 0 = z - 2*h + 3*h - 1. Suppose z*s = s + 1. Suppose -3*l + 8 = 4*y, 0*l + l = -2*y + 4. What is the least common multiple of s and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -b. Suppose 5*r = -4*s + 90, 0 = 4*r - b*s - 13 - 23. Let o(c) = -15*c**2 - 82*c - 102. Calculate the remainder when r is divided by o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2594299178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*i**2 - 722*i**2 - 1527*i**2 + 347*i**2 to r*i + y*i**2 + z and give y.\nAnswer: -1868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.443662002 rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*d = 147*d + 8322. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.4, -20, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53\/5 + -11. Let u = 17 + -18. Sort 1, a, u in descending order.\nAnswer: 1, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397354679?\nAnswer: 127, 673, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73303963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 57*q**2 - 11*q + 103. Is c(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 32.12 from 0.2.\nAnswer: -31.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14467257 is divided by 492.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23002110231101 - 11?\nAnswer: -23002110231112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -420 - -640. Let h = p + 298. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-38) + (-3 - 0)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*z - 5*z + 6*a - 104, 4*z + 7*a - 12*a - 40 = -3*a for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 + 5.14. Let f be (-15)\/(-6)*(-36)\/(-30). What is the nearest to -1\/3 in f, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and ((-42)\/105 + 76\/(-10))*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4144\/12*-2*(-15)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 7:27 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3598424 less than -8.986?\nAnswer: -3598432.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44894, 84715, 124536, 164357, 204178, 243999?\nAnswer: 283820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16103061 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6560967 + 0.5?\nAnswer: -6560966.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -0.2, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9 + f + 2*f**2 - 2*f - 17. Let g be y(-2). Solve -g = o + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*r - 3891 - 59145 = 12*r. What is the greatest common divisor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 67. Let z be d(-9). Let l = 58 + z. Suppose -2*y + 30 = -l*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1195 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 122*q. Let w(g) be the second derivative of g**3\/3 - 3*g - 182. Determine w(v(h)).\nAnswer: -2*h**2 - 244*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - x**2 + x - 1. Let c be h(1). Let q(v) = v**3 + 4*v**2 - v + 3. Let n be q(-4). Let d = c + n. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c - 7. Let v = 7 - c. Determine t so that -2*t**2 - v + t**2 + 3*t**3 - 5*t**2 + 9*t - 3*t**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3092 + 0.3092. Let k = -5.03 - -0.03. What is the smallest value in -2\/7, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -0.3, 0.1, 6 in increasing order.\nAnswer: -0.3, 0.1, 3\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8674696 to the nearest integer?\nAnswer: 2945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*l + 126013 = 126005, 25 = -5*l for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -c - c. What is the common denominator of ((-29)\/(-12))\/(1\/c) and (((-3)\/(-24))\/(9\/(-12)))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v + 4*v - 35*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 34038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3272, 3346, 3414, 3470, 3508, 3522, 3506?\nAnswer: 3454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g + 48*g - 30*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 43 - 2*d + 18)*(d - 4*d + 4*d).\nAnswer: -2*d**2 + 19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 110 and 113 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/12)\/(1\/(-48)). Let d = -38 + z. Let f = -2330 + 2351. What is the greatest common divisor of d and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42374399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -2034242?\nAnswer: 2034242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -2 - (7 - 13)) + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 + 1 = 0. Let s be (28\/(-6))\/(p\/(-6)). Let g be 6\/12*(-2)\/s. What is the smallest value in -1, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**5\/20 + l**4\/3 + l**3\/3 - l**2\/2 + 5*l. Let f be v(-3). What is the second derivative of -i + f*i + 4*i**4 - 4*i wrt i?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6306\/(-46244))\/((-4)\/66*9))\/((-226)\/16)?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534 (base 10) to base 9.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(1*-4). Let l = -2995 + 2990. Which is the third biggest value? (a) 2 (b) -4 (c) u (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238 - 1076*f**3 + 249 - 8.\nAnswer: -1076*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12559763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 901 + -19303?\nAnswer: -18502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11459.990869 - 11460. What is v rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvqv when four letters picked without replacement from {a: 2, q: 4, u: 2, v: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 138*c**3 - 2*c - 102*c**3 + c.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**5 + 30*f**2*w**3 + 3*f*w**3 + 4*f*w**2 wrt f.\nAnswer: -40*f**3 + 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 216 = 11*u. Suppose u*y = -19*y + 4403. What is the highest common factor of 35 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*z = 562 - 1489 - 1017 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 37737501 and -1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-24)*62 - (2\/5 - 693\/(-105))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-7)*(-2)\/(-4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132))\/(sqrt(44)\/(-1*sqrt(4))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 22*i - 2. Determine p(-11).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 65?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-2 - 0) + -36 + 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 12*k + 4. Let q(n) be the second derivative of n**3\/6 - 21*n. Let i(l) = 10*q(l) - w(l). Factor i(o).\nAnswer: 2*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**4\/2 - 7*a**3\/6 + a. Let r(n) = 9*n**2 - 11*n. Let b = -141 + 386. Let g = -240 + b. Calculate g*r(l) - 8*c(l).\nAnswer: -3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5\/13 + 184*k**4\/13 - 4208*k**3\/13 + 3844*k**2\/13 + 4210*k\/13 - 4028\/13 = 0.\nAnswer: -1, 1, 38, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**3\/3 - 2*r**2 + 7*r - 4. Let d be c(-5). Is (-189)\/(-18) - (-1)\/d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (207815 + 202*g**3 - 207815)*(3*g + g + 0*g).\nAnswer: 808*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26254 = 16*w - 25*h + 30*h, 2*w + 4*h - 3302 = 0. What is the highest common factor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -463 + 441. Let r(k) = -k**2 + 17*k + 2*k**2 + k**3 + 20 + 22*k**2. List the prime factors of r(n).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -73 (c) -1\/3 (d) -727\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from pprrrppppaptappptppp.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 230*l**3*q + l**3 + 133*l**2 - 2*l*q - l + 93*q - 6 wrt l?\nAnswer: 1380*l*q + 6*l + 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 5) to base 16\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 721008 to the power of 1\/2, to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (246\/287)\/(1\/(-5)) - -4. Sort 5, -3\/4, 0, p, -1 in descending order.\nAnswer: 5, 0, p, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/356580 and -107\/4065012?\nAnswer: 20325060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 132890 less than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.1 (b) -0.266 (c) 20366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 + 34*j**2 - 23*j + 39. Let x be y(15). Suppose c + 5*l - 136 = 458, c = 5*l + x. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1, 18 in decreasing order.\nAnswer: 18, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1394589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (13671602\/(-399))\/((-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a58e (base 15) in base 3?\nAnswer: -110001210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 1 - 4*u**3 + 16.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 90 = 6*o - 2*o, -3*y + 2*o = -240. Differentiate 11*a**2 + y*a - 11 - 78*a with respect to a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 8 = z - 2*s, 49 = -5*z - 2*s. Let v = 27 + z. Suppose h = -3*h + v. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (28 + -2 + -20 - (1 + -38))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -119*x**2 + 6*x + 7. Give s(-1).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c + 21 - 61 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23\/9 + -307\/36. What is the common denominator of r and 10\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 12*r + 19. Let j = -64 - -59. Let v(t) = -3*t**2 - 18*t + 29. Let a(m) = j*v(m) + 8*n(m). Factor a(h).\nAnswer: -(h - 1)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) -4 (c) -5\/2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (34 - (-1005)\/(-30))\/(7\/(-4) + -1). What is the fourth smallest value in 0.1, -1\/316, -0.3, q, -3\/2?\nAnswer: -1\/316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**5\/12 - 35*v**4\/3 + 1960*v**3\/3 + 7*v**2 + 10. Determine j so that g(j) = 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 + 0*m + 301*m**2 - 304*m**2 + 0*m as b*m**2 + w*m**3 + i + d*m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 249.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -50)*1\/4. Let a(g) = 15*g + 166. Let z be a(-11). Put z, -5, h in decreasing order.\nAnswer: h, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -67*y**3 + y**2 + 4*y - 2. Let m = -13 - -6. Let r be a(m). Round r to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 3*p. Let r(f) = f**2 + 5*f - 4. Let s be r(-5). Let u = s - -6. Let v be n(u). Put -4, v, -2 in descending order.\nAnswer: v, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -32. Let i be (-2)\/(2*o\/(-2)). What is the second biggest value in 1\/5, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7473 (base 11) to base 13.\nAnswer: -4661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 424052723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 + 6*y**2 + 4*y. Let n(c) = -6*c**3 - 11*c**2 - 7*c. Suppose 2*g - 33 = -g. Determine g*x(h) + 6*n(h).\nAnswer: -3*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:22 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 246.6 * 21.\nAnswer: 5178.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68166 is divided by 34022?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02415 + -0.22389. Let s = -0.2 - h. Round s to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -72, -43, -34, -51?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 584714135 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p + 48*p + 37*p - 148*p + 33*p + 5095.\nAnswer: 2*p + 5095","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 - 8*b**2 - 8*b - 5. Let d be h(-5). Suppose 3*n + 2*n = -d. Let v = -12 - n. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/3, 56295, 17\/5, 1\/3, -4.\nAnswer: -5, -4, -1\/3, 1\/3, 17\/5, 56295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from yitiqeyyye.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2337 - -2337.7. What is the closest to -15 in j, -1\/4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1712140, 1712141, 1712142, 1712143, 1712144?\nAnswer: 1712145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44480640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2165 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -56. Let w(s) = -s - 14. What is w(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.69, 0, -1 in descending order.\nAnswer: 0, -1, -1.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 8. Sort 3, 5, m, 32 in increasing order.\nAnswer: m, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 3. Determine f(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 7*f + 11. Let d be l(-8). Let h = 3 - d. Find the third derivative of 2*c**2 + 0 + 2*c**3 + c**2 + h wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1000.08 + 1001. Which is the second biggest value? (a) 0 (b) l (c) 2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 215192 and -187829.\nAnswer: 27363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 8*s**2 - 13*s + 2. Let z be o(-6). Suppose z*a - a = 238. What is the remainder when a is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 21*g**2 - 5*g + 14. Let x = -13 - -9. Let s(d) = 21*d**2 - 4*d + 14. Let p(y) = x*j(y) + 5*s(y). What is the first derivative of p(f) wrt f?\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2062*m - 2062*m - 21 - 24*m**3 wrt m?\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + m + 4. Suppose -2*f = m - 78. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1102*t + 802 + 44380 = 0 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 5*v = 7*a - 4 - 26, 15*a + 13*a = 33*a - 5*v - 30 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - m - 1 + (-m - 2*m + 5*m)*(123 - 5 + 0) + m - 3*m - m.\nAnswer: 232*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32356245113 and -1.\nAnswer: -32356245114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 5.8966?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + -1917be?\nAnswer: -1917aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41060 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d478 (base 14) in base 10?\nAnswer: 190226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**5\/20 - w**4\/2 + 3*w**2\/2 - 5*w. Suppose 3*b + 2*c + 3*c = 0, -b - 7 = 4*c. Let u be ((-18)\/15)\/((-1)\/b). What is y(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**3\/3 - 3*y**2\/2 - 2*y - 2. Is r(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 501.89887+35232\nAnswer: 35733.89887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 679624, 679620, 679616, 679612, 679608?\nAnswer: 679604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*c = 135, a + c + 27 = 2*a. Calculate the remainder when 198 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence reo when three letters picked without replacement from {d: 5, r: 2, o: 2, e: 9}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -15566 in increasing order.\nAnswer: -15566, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 21*w**2 - 40*w + 48. Let f be j(13). Solve 4*r = f - 868 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157912529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (70\/77 - 7\/(-77))*0. Suppose -5*s - 2 + 4 = -3*i, -3*i - s + 4 = 0. Put i, u, -2\/5, -1 in descending order.\nAnswer: i, u, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 + 0.03. Let o = 31087 - 31086.73962. Let w = o - p. Round w to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8564 = 881*i - 635 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = -10*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 4*s + c - 61, 0 = 2*s - 4*c - 98. Suppose 10 = -2*b, 3*k + k = b + s. What is the highest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/6)\/(0 - 1). Suppose -21 = -x*v + 29. Solve m + v = 6*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2*t + 4)*(3 + 3 - 4)*(-34 - 25 + 31) in the form j*t + r and give j.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28688, -28907, -29102, -29267, -29396, -29483?\nAnswer: -29522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 - 5*f**2 - 2*f + 2*f + (0*f + f - 3*f)*(2*f**3 - f**3 + 0*f**3) + 5*f**4 - 2*f**4 - 2*f**4.\nAnswer: -3*f**4 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4\/(-32)*-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22\/19 in -57, 11, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-6272)\/24)*(-70)\/245*28\/(-2)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 117 (b) 0.1 (c) -0.22 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5787645719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {y: 2, d: 12, c: 4, g: 2}?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126 - 126 + 80*f)*(0 + 0 + 2*f) + 2*f**2 - f**2 + 0*f**2 + (-f + 0*f + 0*f)*(-2*f - 2 + 2).\nAnswer: 163*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -6, 0, 5, 1.088?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -1137)*(-410)\/(-820). Calculate the highest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24167 is divided by 37.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddaa when four letters picked without replacement from {v: 3, a: 2, d: 4}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27047 = -445*c + 124*c - 410*c for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-196)\/(-20))\/(4\/20). Suppose 2*p - 28 = -v, 3*p = 3*v + 2*p - h. Calculate the highest common factor of 90 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 c when three letters picked without replacement from {g: 2, h: 1, y: 2, l: 1, d: 2, c: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45\/3*(-1)\/(-3)*560112\/140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-87)*(-840)\/440?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 0*v)*(-1076 - 70*v + 1076)*((2*v + 1 - 1)*(2*v**2 + v**2 - v**2) - 2 + 2*v**3 + 2 + 3 - 3 + v**3) - v**5 + 4 - 4.\nAnswer: 979*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 1231605?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/2 and 2\/((-18)\/(-75)*-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {d: 2, j: 2, r: 3, z: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7*o - 7 = 2*q, -23 = 5*q - 2*o. Which is the third biggest value? (a) q (b) -3 (c) 1\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 7*t**2 + t - 9. Let h be s(7). Let r be h\/(-4)*0*1. Suppose r = -5*l - 14 + 34. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259347, 259333, 259295, 259221, 259099, 258917, 258663?\nAnswer: 258325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/42 + (-18)\/(-27). Factor -v*r + 8\/7 + 2\/7*r**2.\nAnswer: 2*(r - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*t + 2 + 26*t - 51*t - 6 to the form i*t + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 + o**2 + o - 1. Let c be z(1). Find the second derivative of 5*f**c - 3*f**3 - 5*f + 14*f + 3*f**3 wrt f.\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/(-126)*(-2)\/((-80)\/6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 18. Let t = 46 + y. Solve t = -b - 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w = -2*n + 83, 26 = -n + 3*w - 16 + 22 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 344236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r\/((r**(-1\/7)\/r*r*r)\/r))\/r)\/r*r)\/r)**(-2\/27)*r**(-13)\/(r\/(r\/r**(-5))*r) assuming r is positive.\nAnswer: r**(-1703\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3556807.1419413 - 3557977.142. Let z = b - -1170. Round z to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10111 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1098, -1831, -2536, -3201, -3814, -4363, -4836, -5221?\n\"Answer: 2*z**3 + 2*z**2 - 753*z - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1*(72\/39 - (-24)\/156). Let r(k) = k. Let m(g) = -38. Calculate z*r(n) - m(n).\nAnswer: -2*n + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 69. What is the least common multiple of 88 and a?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -663, 1, 5.\nAnswer: -663, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16688925269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145918, -145880, -145812, -145714?\nAnswer: -145586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -67971959 - 0.03?\nAnswer: -67971959.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3 + 376*s**2 + 4224*s - 59904 = 0. Calculate s.\nAnswer: -78, -24, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -340, -578, -714, -634, -224, 630, 2042?\nAnswer: 4126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + y - 3, 6*q - 4*q = -5*y + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011 (base 7) in base 13?\nAnswer: -7a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52\/39 + ((-508)\/(-6) - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 81824741*v - 75541290?\nAnswer: 81824741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -5, 6, -4, 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012 (base 3) in base 10?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -672319.9 from -0.7.\nAnswer: 672319.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 80175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196 divided by 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*h + 59 = 4*m, 19*h = 12*m - 18*m + 277 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -12*q + 7. Let i(a) = 35*a - 20. Determine 8*f(o) + 3*i(o).\nAnswer: 9*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -110 - (248 + -394) - (0 - 3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -36*j**3 + 92*j**2 + 37*j. Let n(p) = 16*p**3 - 46*p**2 - 17*p. Give 13*n(w) + 6*z(w).\nAnswer: -8*w**3 - 46*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 52 = 4*s. Let w = 1643 + -1613. Is s greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3 = -3. List the prime factors of (-10)\/n*(-60)\/(-100).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -74.6. Let o = f + 11.3. Let z = -2.4 + 2. Which is the closest to 0? (a) o (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from nnnnrncmcnmchmnmmncn.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*n*t - 24050*g**3*n - 2*g**2*n + 1201*g**2*t + n wrt g?\nAnswer: 12*n*t - 144300*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409, 793, 1179, 1567?\nAnswer: 1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -882*y + 74077. Give n(84).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**5 - 268*k**4 + 208*k**4 + 6*k - 4*k + (-2*k**2 + 2*k**4 + 2*k**2)*(-5*k + 6*k + 3*k).\nAnswer: 4*k**5 - 60*k**4 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g**5 - 164*g**4 + 344*g**3 + 96*g**2 = 0 for g.\nAnswer: -12, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23982818 and 1802?\nAnswer: 1802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w**2 + 5*w + 7. Let x(l) = 15*l**2 - 4*l - 6. Give 5*p(q) + 6*x(q).\nAnswer: 15*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 78. Let u(j) = -3*j**3 + 11*j**2 - 6*j + 4. Let v be u(1). Calculate the highest common divisor of v and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 17225?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.2 (c) -0.481\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4362*l**3 - 4402*l**3 + 13137*l**3 - 4374*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3424279, 3424278, 3424277, 3424276, 3424275, 3424274?\n\"Answer: -s + 3424280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 2\/11 (b) 179 (c) -864 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11067 - 11067 + p**2 + 60660*p**3.\nAnswer: 60660*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579120 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 83*(3\/2)\/((-6)\/(-4)). Suppose p = 10*z - 77. Suppose -2*r - 240 = -6*r. Calculate the remainder when r is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 5, 0.6, 0.4, -8, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107027626 + 2?\nAnswer: -107027624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, -11, -6, 1?\n\"Answer: y**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*l = -0*r + 1, -3*r - l = -30. Find the common denominator of (-1)\/r*7*-7 and ((-46)\/30)\/((-4)\/(-6)) - 0.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2251092?\nAnswer: 2, 3, 149, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 147.505 (b) 0 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1093.765 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -15.5. Which is the closest to 0.3? (a) n (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-8)\/6)\/(2132\/(-1768) - (-16)\/408)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2743955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1350*d - 7650. What is y(5)?\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-17)\/(255\/(-36))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-18)\/4 - -2). Let b = 0.25 + -0.15. Sort b, -5, x in descending order.\nAnswer: b, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 2*t - 1. Give o(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 13*u + 3*u**2 - 22 as k + b*u + g*u**2 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 214 = 198 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:42 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18064430*y = 18064508*y - 858 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 + 2*p**4 - 6120*p**3 + 77*p**2 + 233*p + 2.\nAnswer: -60*p**2 + 48*p - 36720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 g when four letters picked without replacement from {g: 3, j: 11}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 5*(-2*sqrt(77) + sqrt(77)) + 1*(sqrt(77) - (sqrt(77)*-2 - sqrt(77))))*6)\/(sqrt(121)\/(sqrt(55)\/sqrt(5)*-2 + sqrt(11))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, -5, 15, -4, -106 in decreasing order.\nAnswer: 21, 15, 5, -4, -5, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from bsblvevvjsvssssssvbe.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.2389878 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*b = 300, -9*b - 12 = -6*b. Let n = 429 - d. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4159646 litres to millilitres.\nAnswer: 415.9646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.14.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/15)\/((-1)\/(-15)). Let h(g) = 16*g - 70. What is the remainder when h(x) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*o + 4*b + 6, 1 = 2*o - b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 11 = g, 4*s - 3 = -g + 16. Let l(w) = -1035 + 978 - 4*w - 2*w. Let r be l(-14). Calculate the greatest common divisor of g and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s**2 - 6*s - 5. Let x(r) = 23*r**2 - 17*r - 14. Give -17*u(i) + 6*x(i).\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 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: Convert -33010 (base 6) to base 9.\nAnswer: -6206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 5*m + 2 = -21*h, 5*h = -4*m - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 8*d**2 - 9*d + 13. Suppose -54 = -2*c - 4*c. Let f be l(c). Which is bigger: f or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 15935816?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11400, -11569, -11740, -11913, -12088, -12265?\nAnswer: -12444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -41078 divided by 38?\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:53 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f - 16*f + 6*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6*(7 - 5) + 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.05 rounded to 0 dps?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 735, 2974, 6701, 11910, 18595, 26750?\nAnswer: 36369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2479500452 to the power of 1\/2, to the nearest integer?\nAnswer: 49795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17478 - 8875. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -91*h + 34. Let k(v) = -39*v + 15. Let b(r) = 5*k(r) - 2*w(r). Let a(x) = -2 - 2 + 6*x - 2 + 2. Determine -7*a(q) - 4*b(q).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h + 37. What is q(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007705967 rounded to 5 dps?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -1. Suppose -2*p = 4*y - 18, 5*y - k - 15 = -p. Suppose -4*a = 5*s - 33, 3*a - 28 = -y*s - a. Put 4, -2, s in descending order.\nAnswer: s, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**8\/168 + z**7\/35 + z**6\/30 - 16*z**2. Determine m so that u(m) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9839?\nAnswer: 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 53*z**2 + 2*z. Let d(q) = -17*q. Let n(b) = -31*b. Let t(f) = 11*d(f) - 6*n(f). Give w(t(h)).\nAnswer: 53*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/816 and -121\/72.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33, -149, -345, -627, -1001, -1473, -2049?\n\"Answer: -j**3 - 34*j**2 - 7*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 166805 or 1\/2?\nAnswer: 166805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30070 - g**2 + 30070.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 516*c + 26. Determine y(1).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times 0.19?\nAnswer: -0.589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 524) + (-2 + -9 - -11). Which is smaller: -524 or g?\nAnswer: -524","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 847*j**2 + 878*j**2 - 1677*j**2 + 144 - 156*j - 3*j**3 = 0. Calculate j.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x + 33. Suppose -3*n = 3*w - 9, -2*w - 33 = -5*w + 5*n. Let o(y) = -8*y + 83. Calculate the remainder when o(w) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/11)\/j)\/j)**17 assuming j is positive.\nAnswer: j**(-425\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7232252 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15645820, -15645821, -15645822, -15645823, -15645824, -15645825?\nAnswer: -15645826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 21*k**2 - 784*k - 4714. Let a be m(-6). Solve -a*j - 23 = -743*j + 2*y, 17 = -j - 3*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7266, -3 in decreasing order.\nAnswer: 7266, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -361*u**3 - 117*u**3 + 167*u**3 - 395*u**3 - 3*u**3 + 0*u**3 + 4*u**3 + (-u + u - 2*u)*(-2*u + 2*u - 2*u**2).\nAnswer: -701*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 4*z - 3. Give d(7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55896 and 4828.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1)\/((-14)\/(-63)). Let t(o) = 6*o - 6. Does 19 divide t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, p: 7, m: 1, x: 1}. What is prob of picking 1 p and 1 y?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(o - o + 2*o) + 0*o - 3*o + o + 1 - 1 + o + o + 0*o + o - 99 - 3*o + 191 - 90 + (3*o - 4*o + 0*o)*(0 + 1 + 0) - 1 + 1 + 2*o.\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*q - 89*q - 30 = 0. Suppose -25\/8 - 1\/8*n**3 - 35\/8*n - 11\/8*n**q = 0. What is n?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 344 = -48*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -28 (c) 1 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100.7 + 106. Let d = g + -5. Let y = -137\/2 - -70. Sort y, d, -4 in increasing order.\nAnswer: -4, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84013528.64 rounded to the nearest one thousand?\nAnswer: 84014000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -z - 4*z, -4*p = 2*z - 70. Let n = 0 - 0. Suppose -5*a = -5*k - 85, -2*a + n*k - 2*k = -26. Solve -l = -4*q - a, -3*q + l + l = p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9077 and 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4\/x)**49*x*x\/x**(2\/3)*x**(-21))**(-1\/3) assuming x is positive.\nAnswer: x**(-382\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Suppose 3*h - 4*u = -u - 30, -3*u = -5*h - 40. Let o(v) be the first derivative of -v**2 - 34. Determine h*o(m) + 8*w(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 483, 3673, 12311, 29121, 56827?\n\"Answer: 454*v**3 + 12*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (36 - 44 - ((-36 - 4) + -3)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/27)\/(j\/j**(1\/23)) assuming j is positive.\nAnswer: j**(-502\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2079688, 2079695, 2079710, 2079733, 2079764, 2079803?\nAnswer: 2079850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 37*a = -862081 + 3363781. What is a rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16827 - -50483\/3. Let o(m) be the first derivative of -5 + y*m**3 + 1\/8*m**4 + m**2 + 0*m. Factor o(q).\nAnswer: q*(q + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from fffffnffffunz?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359418 is divided by 4334?\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1322 and 210703004.\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56\/9 - -274\/45. Suppose -2*t + 2*o + 6 = 0, -4*t + 10 + 2 = -3*o. What is the biggest value in p, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22951361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127676 - 69740 + 3*g**3 - 57936.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-2154 - (-2)\/(-1))\/((-312)\/468)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33690384368 - 2323303678894\/69. Let a = -19316941 + t. Let r = a + 383. Is r greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r + 10 = -2*n, -r + 4*n + 20 = 0. Let y be (4\/(4\/(-8)*2))\/(-12 + -9). Which is bigger: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y. Let l(c) be the first derivative of 46*c**3\/3 + 89. What is l(z(k))?\nAnswer: 184*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1105 and 128401?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5067*w + 1328 = 1198*w - 25755 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(0\/(-3) + -2). Let n = 2 - i. Find the first derivative of -1 + 2 - q**4 + 4 - n wrt q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (-3)\/(-2))*2. Suppose x*y + 27 = v - 1, 0 = -3*v + 9. What is the closest to 2\/3 in -0.2, y, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*o + 128 = 0, -3*p + 6*p - 192 = -5*o. Calculate the remainder when p is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7886783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077247 (base 8) in base 16?\nAnswer: -47ea7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 14. Let m = r - -2.01. Let o = -4.99 - m. What is the third smallest value in 2, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1782405)\/652)\/(-405)*(26\/(-3) - 2).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 861095*d**2 - 17*d - 4441550 with respect to d.\nAnswer: 1722190*d - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 1178?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78845593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -37 (b) 2 (c) 0.04 (d) 1\/7 (e) 1\/4 (f) 74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509273 = 34*d - 150*d + 500921 for d.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 782?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -579166?\nAnswer: -51\/579166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3*g + 37, -1897*g - 6 = -1896*g - 2*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0)*1089\/(-1331).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 37 (c) 367\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2652\/(-260))\/(-51)*(-8)\/12*(-135)\/12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 43 + 2*g + 11.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - x + 15 = 4*x, 3*t + x = 3. Suppose t = -16*k - 17 + 49. Solve 52*p**2 + 49*p**2 + 2 - 96*p**k + 10*p + p = 0 for p.\nAnswer: -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v*v)\/(v\/(v\/(v*v\/((v\/v**(-2\/3))\/v))))*v**(1\/8)\/(v*v**(-2\/7)) assuming v is positive.\nAnswer: v**(1021\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326 - 112 - 804 + 21 - 134)*(-t**4 + 2*t**3 - 2*t**3).\nAnswer: 1355*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 9*f**2 - f - 12. Let p be h(-9). Let z(u) = -u**2 + 5*u - 2. Let l be z(2). Let s be (-6)\/l*2\/3. What is the second smallest value in s, 1, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + q = 37, 0*q = -2*p - 3*q + 7. Let l(m) = -m**2 + 9*m + 2. Let v be l(p). Suppose -r = r - v. Solve 0 = -r*z - 5 - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 526856.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, v: 2, a: 5}. Give prob of picking 3 r.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119512927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1582 - 1076. Suppose 19*i = f + 2420. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -13*d - 43. Let c(m) = 19*m + 62. Let w(p) = -5*c(p) - 7*y(p). What is w(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -3e?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -4 (c) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*z - 12, z - 11 = -5*i + 15. Let x = 12 + 5. Let c be 6\/63*-15*-7. Solve -i*w - 11 = 4*y + x, -3*y - w - c = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 3) + (-1 - -6). Let w = 6 - 0. Solve -y = 3*v - 4*c, w = -2*v + 2*c - c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -17 - 30*u + 39*u - 20*u. Let r(k) = -2*k - 3. Calculate 34*r(h) - 6*t(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*h + 51. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -5*x - 26, 394256*x + 4*t + 16 = 394254*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 smaller than -394\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 161 = 79 + 62. Which is the fourth smallest value? (a) 4\/5 (b) 7 (c) 3 (d) -4 (e) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 24 = 4*d, -2*d - 3*a = -a - 10. What is the nearest to 1\/3 in 0, d, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*x**3 + 1\/5*x**4 - 16\/5*x + 0*x**2 - 16\/5.\nAnswer: (x - 2)*(x + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666\/(-6993)*(-14)\/12?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**2 - 123*o + 126 = 0.\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2992490 to the nearest 10000.\nAnswer: -2990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**5\/20 + t**4\/12 - t - 31. Let b(g) = 5*g**3 - 5*g**2 - 2. Suppose a + a + 12 = 0. What is a*h(q) - b(q)?\nAnswer: q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4955077 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*17\/(-476)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*g + 0 - 2 + 3 - 1 - 4 in the form r + u*g and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 5*o + 2*o)*(392*o - 127*o**2 - 392*o)*(-o**2 - 1 + 1) + (0*o**2 - 2*o**2 + 4*o**2)*(3*o**3 + 3*o**3 - 8*o**3) + 0*o**5 + 0 - 2*o**5 - 2.\nAnswer: -260*o**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2293*x. Let l(m) be the second derivative of -m**4\/12 - 6221*m. Calculate o(l(z)).\nAnswer: -2293*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 12*n**2 - 7*n**2 + (7*n - 4*n - n)*(0*n + 0*n + n))*(8*n**2 - n**2 + 0*n**2).\nAnswer: 56*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b**3*v + 48*b**2*v**2 - 1182*v**2 wrt b.\nAnswer: 15*b**2*v + 96*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**3 - 12 + u**2 - 2*u + 7*u**3 - 2*u**3 - 4*u**3. What are the prime factors of x(-3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**3\/4 + 6535*n**2\/2 - 2138575*n + 4264090 = 0.\nAnswer: 2, 1306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13838944447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 + (67 + -117 - -103)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9840.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573 = 4*u - 3*w, 3*u - 4*u - 2*w = -135. Suppose -u - 18 = -y. What is the remainder when y is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 48*x - 2. Let s be u(3). Suppose f = 5*k - 31, -f + 67*k - 22 = 71*k. Let t = s + f. What is the remainder when t is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -444 + -123a8?\nAnswer: -127ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**5\/20 + 2*h**4\/3 + h**3\/2 - 47*h**2\/2 - 1851*h. What is n(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-6)*45\/(-10). Let c = 0 + l. Suppose c*p - 3570 - 228 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/8 - (-6)\/(-24). Let x be (-3)\/((-6)\/21*12\/8). Does 19 divide -1 - -20 - (x + u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 16685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a factor of 213931570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -251047?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**5\/60 + m**4\/6 + m**3\/3 - 8*m**2. Let z be a(8). Let c = -17 - z. Calculate the greatest common factor of 52 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b6a4a (base 15) in base 3?\nAnswer: -10221121011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 21*n - 1. Let o(u) = 981*u - 337*u - 325*u - 329*u. Give -5*o(m) - 2*w(m).\nAnswer: 8*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + p - 15, -2 = 3*v - 5*p + 4. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 1.47804481.\nAnswer: -6.52195519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1974\/(-4371))\/(20\/(-1860)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -1.1. What is the third biggest value in 2, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*a - 15. Suppose 152 + 268 = -a*r. Let b be ((-2)\/4)\/(2*3\/r). Solve -2 = j - b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135\/8, -1\/3, 246\/23.\nAnswer: -1\/3, 246\/23, 135\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*k - 84*k + 41174 = 0. List the prime factors of k.\nAnswer: 2, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j. Suppose 2*c + 106 - 12 = j. Let w = 107 + c. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154 - -15. Let w = x + 150. Suppose 1564 = w*c - 1428. Is 34 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 14 = 2*d. Factor -2*j**2 + d*j - 9*j - 3*j**3.\nAnswer: -j**2*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 3. Let d be (10\/t)\/(2\/(-4)). Solve 13 = -d*a - 4*u - 17, 4*a - 2*u = 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 4*m + 2*m**4 + 3 + 2*m**2 - 3*m in the form x*m**3 + b + n*m**4 + o*m**2 + t*m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdrddsdrdddssd. What is prob of sequence drss?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 - 3 = 0. Solve -c*h = -h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 3 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/114565 and -19\/16?\nAnswer: 1833040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 7*d**2 - 7*d - 1. Let c be s(-6). Let k = c + 0. Suppose k*a + 1 + 12 = 2*q, 0 = 4*a + 4*q - 12. Which is smaller: a or -0.04?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*b = -5 + 21, -t - 6 = 5*b. Find the third derivative of -p**2 - p**2 + 2*p**4 + p**6 - 2*p**t wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 22*o**2. Let y(b) be the third derivative of -b**5\/30 + 18*b**2. Give k(y(p)).\nAnswer: 88*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -494, -1922, -4102, -6854, -9998?\nAnswer: -13354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 573274151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6122741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*k - 3 - 8, 19 = -b - k. Let n be 8\/b*(-21)\/6. Let y(g) = g**3 + 3*g**2 - n*g**3 + g**2 - 5*g**2 + g. Give y(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*h + 10*h - 280 = 35*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 86. Let r be x(22). Is 53 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 256 + -4862\/19. Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23871, 15, 2, -7 in decreasing order.\nAnswer: 23871, 15, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 6*x**2 + 7*x - 5. Let w be t(-4). Which is bigger: 2\/83 or w?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k - 1. Let z be l(2). Let c(q) = q + 2. Let m be c(0). Suppose m*t - 4 = -2*s, -z*s + s = 3*t - 3. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1601213?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 514*3 + (22 - 17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - -6. What is the remainder when q is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x + 5688 + 4982 - 7862*x**2 + 2*x**5 + 2582*x**2 - 9940 wrt x.\nAnswer: 40*x**3 - 10560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - l + 9440 = 0. Find the second derivative of -l*d + 1783*d + 17*d**4 - 893*d - 2 wrt d.\nAnswer: 204*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 59 = 4*u, -2*u = -1 - 1. Let b = m + -7. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4\/7 - 3762*o**3\/7 + 22620*o**2\/7 - 45272*o\/7 + 30192\/7 = 0 for o.\nAnswer: -1887, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (-4)\/(-8))*1336\/4. Let p = -92 + a. What is the highest common divisor of p and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -7*p - 55 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 0.2, -1 in ascending order.\nAnswer: -4, -1, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2112 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.87 and 75.1772438953.\nAnswer: 76.0472438953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 129\/(-12) - (-9)\/12. Let g be 2\/(-10) - (-8)\/s. Let a = 69 + -60. Sort 2, a, g in descending order.\nAnswer: a, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 462, 922, 1382, 1842, 2302, 2762?\n\"Answer: 460*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 39 = -3*z, -2*z - 3*b = -z - 23. Calculate the remainder when 7*-3*(5 + -6) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -70, -4 in increasing order.\nAnswer: -70, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12946052?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**7\/5040 - u**6\/288 + u**5\/60 - 2*u**4\/3 + 41*u. Let r(z) be the third derivative of q(z). Factor r(j).\nAnswer: (j - 4)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1486.712 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -150063, -150023, -149983?\n\"Answer: 40*b - 150103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 964277 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1 - 2) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122 - -147. Suppose 23 = -f + x. Solve 2 = -f*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 657352*l - 79450*l + 3*l**3 + 431873*l.\nAnswer: 3*l**3 + 1009775*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 155912471 to the power of 1\/3, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2522 - -3392. What is the greatest common factor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241551 + 108270 = -5176*u + 145710 - 230673 for u.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d00 - -23d?\nAnswer: 113d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*z + 20 = -643*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/9 - 80*a**4\/9 - 134*a**3\/3 + 1972*a**2\/9 - 344*a\/9 - 880\/3 = 0. Calculate a.\nAnswer: -33, -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 4*f - 272. Let t(v) = -5*v**2 + 16*v + 20. Let x be t(6). Let z = x + f. Put z, -3, 14 in ascending order.\nAnswer: -3, z, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 951364.4 years?\nAnswer: 95136.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 5. Suppose -4*m + 2*f = 18, -2*m = -59*f + 56*f + 23. Let c(d) = 1. Calculate m*l(v) - 3*c(v).\nAnswer: -v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4310600, 4310611, 4310622, 4310633?\nAnswer: 4310644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(1*6\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170 (base 13) to base 8.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 20. Let l(u) = 2*u + 27. Let j be l(t). Let x be (-4 - j)\/((-1)\/3). Solve -1 = q - x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 2 + 0 - 0. Let b be 4 + (q\/1)\/(-1). Suppose -b*g + 185 = g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 88440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7811.579 litres in millilitres?\nAnswer: 7811579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let s(f) = -16*f + 9. Determine s(j(l)).\nAnswer: -16*l + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20601211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 19643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 6*l - 6. Let u be y(4). Let z(c) = c - 1. Let j be z(8). Suppose -3 = -4*s - j. Let r(h) = h. Let w(i) = 4*i. Give s*w(b) + u*r(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18148481, -36296964, -54445447?\n\"Answer: -18148483*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45\/76 - 3237\/5852. Find the common denominator of i and -10\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*d**2 - 24*d**2 - 34*d**2 in the form w + v*d**2 + u*d and give v.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 153 + 71. Suppose -q = 3*u - d, 111 - 43 = 2*q + 5*u. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2766680 and -47\/1383340?\nAnswer: 2766680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 0*w + 2791*w**2 + 1027*w**2.\nAnswer: 3818*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -2, -2.5, 1\/10, 66, 3, 128.6?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36927 + 37347 = 15*n. What is the greatest common divisor of 273 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e08 (base 15) to base 14.\nAnswer: -2549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 196*(4 - 0 - 3). Suppose -v + 10 = 2*l - 55, 3*v + 5*l - k = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvvg when four letters picked without replacement from dttvgvtgvgtdvdttvv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*v + 47 = 0, 4*c + 417*v + 37 = 420*v for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 277.268 millennia?\nAnswer: 3327216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1590 (base 12) to base 14.\nAnswer: d08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -231 - -252. Calculate the remainder when 412 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 13968 - 13968.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*i + 55*i + 3*i**2 - 2*i**2 + 4*i**2 + 0*i**2 + (i**2 + 0*i + 0*i)*(4 - 1 + 0) to x*i + z + l*i**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2\/2 - 929391*g\/2 - 3717596 = 0.\nAnswer: -8, 929399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30410 - 70691 = -77*c. List the prime factors of c.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*w + 193*w + 3*w)*(-1 + 1 - 3*w).\nAnswer: -444*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6028 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-6))\/5 - 0. Is -2\/5 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = a + 16, -5*a = -5*l - a - 36. Let q = -5 + 5.06. Let w = q + -0.46. Put -2\/17, l, w in increasing order.\nAnswer: l, w, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 5*a**2 + 15*a + 9. Is 8 a factor of h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 110\/25 + (-2)\/5. Let y(m) = 11*m + 4*m - o*m. Let r(w) = -23 + 23 + w + w. Determine r(y(p)).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32373 from -584.\nAnswer: 31789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/8)\/(m*m*m\/(((m\/m**(-2))\/m)\/m)*m*m))**(-1\/6) assuming m is positive.\nAnswer: m**(31\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 100213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/10, 0.5, -1338?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2779 and 25564.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/77 and 48\/49.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s - 1 + 1)*(0 - 4 + 3) + 27 - 27 - 9*s)*(-3*s + 0*s + 8*s).\nAnswer: -35*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 1.62. Let c = b - 0.08. Sort c, 0.4, 0.5 in decreasing order.\nAnswer: 0.5, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*y - 1806. Suppose -y = -2*j + 426. Is j a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1246 + 1240. Let n = -0.38 + 0.08. Which is the third biggest value? (a) 4 (b) 1 (c) n (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 95 = -3*b. Suppose -3*g - b = -31. Suppose 5*p + g*d = d + 8, d = -2*p + 3. Which is smaller: p or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3836626, 7673251, 11509876, 15346501, 19183126?\nAnswer: 23019751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*y + 154 - 118*y - 155)*(7*y**2 - 3*y**2 + y**2).\nAnswer: -865*y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 226 and 102265?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (44 - (-102 + 66)) + (-16 - (0 - 6))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z - 3. Let t(o) = o - 1. Let b(i) = -k(i) + 4*t(i). Let h(f) = -11*f + 2. Give 4*b(q) + h(q).\nAnswer: -7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3461 + -3459. Which is greater: t or -454?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/(-153))\/(588\/756).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 13*x**3 + x**2 - x - 1. Suppose -2*b = n, 4*n + 6 = -4*b + 5*n. Give z(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2)*(-15)\/5. Let m(z) = -z + 4. Let b be m(a). Let w be 94\/18 - (-4)\/(-18). Solve -b = w*y + 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2664*w**3 + w - w - 14293*w**3.\nAnswer: -16957*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1085619 - -0.4.\nAnswer: -1085618.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 4*y**2 - 4*y - 10. Let l be h(-4). Solve -4*q + 2 = l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-2 - 5 + 3)*(-39 + 39 - 17*j**2).\nAnswer: 68*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3 - ((-30)\/(-6) + -1511)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -3. Let i(f) = -3*f - 10. Let z(c) = -5*c - 19. Let u(l) = -7*i(l) + 4*z(l). Let n(v) = v - 5. Calculate x*n(h) + 3*u(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 4*t**2 + t. Let l be y(4). Let s(z) = -z**3 + 2*z**2 + 6*z + 12. Is s(l) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 - 77 - (0 - -4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 20*i - 6*i. What is the derivative of 1 - 68*h - i*h + 34*h wrt h?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -44795270 in increasing order.\nAnswer: -44795270, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*l - 1712 - 1899 = -109*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 228858 = -3*a. Let v(b) = 5*b + a*b**2 + 448715*b**2 + 2 - 2*b + 0. Let x be v(-2). What is x rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -5\/48*u**5 + 0*u**3 + 1\/32*u**6 + 21*u**2 + 0*u + 0 + 5\/48*u**4. Factor m(h).\nAnswer: 5*h*(h - 1)*(3*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37244 and 37244?\nAnswer: 37244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 746934837079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37726 is divided by 262?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 18*c + 18. Let o(r) = r**2 + r + 1. Give 18*o(j) - q(j).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 27, -4, 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1669 + 4?\nAnswer: -1665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 5*n - 3*n)*(-4*n + 2*n + 4*n) + (1 - 2*n - 1)*(9*n - 11*n - 7*n).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.765645 to three dps.\nAnswer: 10.766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {s: 6, a: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 7. Suppose 0 = 17*f - p*f + 140. Let c = f - -31. Is c at least 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 11 = 11. Put -0.3, t, -2 in ascending order.\nAnswer: t, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(180) + -4)**2.\nAnswer: -96*sqrt(5) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**3\/3 - 6*z**2 + 8*z - 5. Let m be h(-12). Find the second derivative of -3*a**3 - m*a**3 + 10*a**3 + 3*a - 8*a**3 wrt a.\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102758.97 to the nearest one thousand.\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(104) - (sqrt(104)*2 + sqrt(104))) + sqrt(104))\/sqrt(8))**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 38. Let o = v + 10. Let d = 3.1 - 3. What is the nearest to d in -0.1, -0.2, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55448 - -9?\nAnswer: -5543b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27\/(-45) - (-6)\/10. Suppose d - 41 - 54 = b. Suppose -3*n + d = 2*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.93*0.85922.\nAnswer: 22.2795746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + (147 - 105) + 1 + -10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 + -55830923?\nAnswer: -55830958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddcc when four letters picked without replacement from {d: 4, c: 2, x: 5}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 13*r - 208*r - 95*r + 4 + 3. Let k be y(-1). What is the greatest common factor of k and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.675898 from 1159.\nAnswer: 1152.324102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66443323 is divided by 97?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/24)\/(2\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -156? (a) 2\/17 (b) -56 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.3921 + 0.3921. Let v = 1164407.99985 + -1164447. Let m = v - y. Round m to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 148*t**2 - 25. Let g(q) = -9*q**2. What is o(g(y))?\nAnswer: 11988*y**4 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4.1462*0.03\nAnswer: 0.124386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 65*q + 42*q + 11)*(2*q - 3*q - q).\nAnswer: -214*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110748156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30.1 - -29. Let c = w + 1.5. Let g = 2 - -2. Sort c, 0.2, g in descending order.\nAnswer: g, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*p = 2*y + 124*p + 55, 0 = -3*y - 4*p - 48. Sort y, -15, 5, -4, 0 in ascending order.\nAnswer: y, -15, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 72 = 7*f. Calculate the least common multiple of f and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450440.3mg to kilograms.\nAnswer: 0.4504403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 263472*t**2 - 4330*t - 17 wrt t.\nAnswer: 526944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/5 + 1556*q\/5 - 9912.\nAnswer: -4*(q - 354)*(q - 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 4*z - 4*z - 5*z. Let n(s) = 13*s - 31*s + 17*s. Calculate n(o(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q + 27*q = 55*q + 4*d + 50, -8*q + 65 = -3*q - 3*d for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 23*h - 18. Let p be c(22). Solve 0 = p*i + 3*o + 14, 16 - 2 = -2*i + 2*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*m - 12*m - 117169 = -1203793. Does 154 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. List the prime factors of ((-10)\/15)\/(i\/(-36)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 h when three letters picked without replacement from haaaaahwhhh?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**3\/6 + 9*y**2\/2 - 11*y. Let o be n(-3). Suppose -2*i - o = -8*i. Solve x + 2*m - i = 0, 4*x + 28 = -0*x + 4*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 2, a: 1, o: 6, t: 5}. Give prob of picking 2 x, 1 t, and 1 e.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(-1485)\/(-99)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(((-295)\/413)\/((-6)\/7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (119\/4)\/(4\/16). Calculate the greatest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -39. Let r = -2 - -24. What is the least common multiple of r and h?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**7\/42 - t**6\/45 + t**5\/20 + t**4\/18 + 5*t. Determine d so that u(d) = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0332 from 3.\nAnswer: 2.9668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 45*f**2 + 2*f - 97. Let c be m(45). Put 2, -8, 5, c in ascending order.\nAnswer: -8, c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from mtiio.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {m: 7, l: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173476 and 187953.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 100*t**2 + 33.\nAnswer: 100*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**3 - 486*m**2 + 1983*m - 1494 = 0?\nAnswer: -166, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 + 4 - (-1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n = -27*n - 150. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/59184 and -143\/26304.\nAnswer: 236736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 272869 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m + 2145 - 2190. What is the remainder when 5 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75649 rounded to 2 dps?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140935990 to the nearest integer?\nAnswer: 11872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 l when four letters picked without replacement from {l: 4, j: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a**3*v*y**4 - a**3*v*y**2 - a**3*y**2 - 2*a**3*y + 2*a*v*y**3 + 1 wrt y.\nAnswer: -312*a**3*v*y + 12*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 64. Let p(x) = 2*x**3 - 4*x**2 + 2*x + 2. Calculate p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 25 = 6*q. Solve -2*u + o = 0, q*o + 0 = 2*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 + 93. Let j(u) = 26 + 3*u - 9 - 5 - 8. Give j(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/14*4 + -2. Let a = 30 - 21. Suppose -4*o + 6 = 2*u, -4*u + a*u + o - 24 = 0. Sort 0.5, u, m.\nAnswer: m, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44175\/(-10)*(-2 - -5198). Let m = u - -9158373001\/399. Let f = m - -463\/38. Find the common denominator of f and -1\/20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/25 - 1934469\/(-120) - 123\/328 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -346 - -348. Which is the smallest value? (a) -0.2 (b) j (c) 2\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + v - 5*v + (-2*v + v + 2*v)*(4 + 0 - 3).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10392 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1397*t - 766*t - 675*t + 16. Let x(v) = 9*v - 3. What is 2*s(d) + 11*x(d)?\nAnswer: 11*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/(q*q*q*q\/(q*q*q*q\/q**(-1))))\/q)\/(q*q\/(q*q*q\/q**(1\/2)*q)*q))\/(q**4*q**(2\/7)))\/(q**(-6)\/(q*q**(2\/7))*(q**(1\/4))**(-5\/12)) assuming q is positive.\nAnswer: q**(269\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619.952676 rounded to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 19.9.\nAnswer: 9.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 118*d**2 - 9 - 6*d + 4*d**3 + 113*d**2 + 1 to the form a*d**2 + p*d + m*d**3 + c and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 128. Let i(j) = 128. Let r(q) = i(q) + l(q). Let c(w) = -w + 0*w - 118*w**2 - 46*w**2. Calculate r(c(b)).\nAnswer: 328*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -182 + 182.02. Which is smaller: -8 or j?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56\/2)\/4*(-13)\/156\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1428)\/15 - 3\/(-15). Let q = r + 79. Let s be 42\/8 + -2 - (-4)\/q. Solve -4*z + 4*b = z - 8, 5*z - s*b - 11 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.35, 4, -2\/9, -4.\nAnswer: -4, -2\/9, 0.35, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430 and 989.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 16063205 and 125278.\nAnswer: 16188483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 836 + 3?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 6*y = 24. Suppose 2*b - 302 = -y*m - 0*m, 4*m + 3*b - 297 = 0. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f**2. Let i(n) = -4*n - 6. Let z(y) = 11*y + 17. Let a(o) = -17*i(o) - 6*z(o). Calculate b(a(q)).\nAnswer: -52*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) - 145\/(-3). Let n(o) = -11*o - 3. Let v be n(-1). Suppose 2*l + z = 3*k + 5*l, 2*l - v = 0. What is the greatest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 0*h - 3*h + 3*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22028?\nAnswer: 2, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2195 + 0.6195. Let r(h) = h**3 - 7*h**2 + 6*h + 4. Let m be r(6). What is the nearest to -2 in 1, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**4 + 53*q**3 - 75*q**2 + 37*q + 14. Let c(r) = -r**4 - 2*r**3 - 2. Let x(v) = 28*c(v) + 4*s(v). Factor x(j).\nAnswer: -4*j*(j - 37)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7884709*5\nAnswer: -39423545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 9:58 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 m, and 2 r when four letters picked without replacement from vavdvrvmr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -222.5 - 2.55\nAnswer: -225.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41\/29 + -1036\/261. Find the common denominator of g and 2\/(54\/(-201))*33\/(-22).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1164 - 12?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/987839 and -62\/68919.\nAnswer: 2963517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c - 2*c - 4 - 50*c + 5 to the form h + v*c and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8048 and 501504?\nAnswer: 252256512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-77)*(-143)\/78.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2.3, -30 in ascending order.\nAnswer: -30, -2.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 882*j**2 + 11*j + 3 + 0*j - 874*j**2 + 16*j - 3*j + 3472*j**4 wrt j?\nAnswer: 83328*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 0.13, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*11 - (-47)\/((-235)\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {q: 1, h: 2, r: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/15990 and 121\/329394.\nAnswer: 1646970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(9\/4)*t*t*t**5*t*t**(-1\/16)*t**20)**(9\/10) assuming t is positive.\nAnswer: t**(3843\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 48039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/493 less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -74920457 rounded to the nearest one hundred thousand?\nAnswer: -74900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -92757*r + 1. Let q(c) = -67*c + 3. Give t(q(p)).\nAnswer: 6214719*p - 278270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9\/13, 36.559, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*-6*(sqrt(77) - sqrt(77)*-3))\/(sqrt(121)\/(sqrt(55)\/sqrt(5)) + sqrt(11) + -1*sqrt(99)).\nAnswer: 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**7\/840 - z**6\/360 + z**5\/10 - 4*z**2. Let w(p) be the third derivative of l(p). Suppose -3*i + 2*i - 2 = 0. Give w(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22143084127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:17 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*s - 2, -1 = 2*k - 5*s. Let y be 0\/((43\/(-129))\/(k\/(-6))). Solve 4*j + 2*f + 21 - 1 = y, 3*j + f = -15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 15, 2*c + 18 = 5*o - 1. Factor -319 + o*z**2 + 319 - 5*z.\nAnswer: 5*z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19 + -267 + (0 - 8). Let k = u - -264. Solve 2*x = -2 + k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83*f*h + f*q**2 - 29*h*q**2 + 111*q wrt f?\nAnswer: 83*h + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - -4*1\/2. Let v(p) = p**3 + 5*p**2 - 6*p. Let m be v(f). Which is the third smallest value? (a) m (b) -4 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*l + 3*l - 7*l)*(3*l**2 + 6*l - 69 + 69) in the form z*l**3 + i + t*l**2 + x*l and give t.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.4. Let v = -2 - -1.6. What is the nearest to l in -0.5, v, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5355, -10711, -16067, -21423, -26779, -32135?\nAnswer: -37491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**4 + 81516*h**3 - 814708*h**2 - 1059276*h + 1792472 = 0. What is h?\nAnswer: -2, 1, 11, 20369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4654598 and 70906?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3 - 26*y**2 + 1408*y + 38912 = 0.\nAnswer: -32, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l + 4. Suppose 10*a = 15*a - 220. Let b = 41 - a. What is n(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 142*z + 71. What is the thousands digit of v(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 2*k**4 - 3*k**2\/2 + 3. What is the second derivative of w(r) wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.10561m in micrometers?\nAnswer: 11105610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*j + j - 4*d, -3*d = -4*j + 42. Suppose 12 = c - j. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 5*d**2 + 15*d - 10. Let z be i(6). Calculate the highest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5489487901.\nAnswer: 17, 23, 71, 197741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7165, -14324, -21457, -28540, -35549, -42460, -49249?\nAnswer: -55892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 10 (c) 3 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - t**2 + 3. Let g be c(0). Factor -2*h**5 + 23*h**3 + 0*h - 19*h**g - 2*h.\nAnswer: -2*h*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.023 - -0.023. Let v = 0 + k. Let s = 3.00000055 + v. Round s to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*m + 1)*(-1 + 1 - m + (2 - 4 - 3)*(4*m - 4*m - 2*m) + 3*m - m - m + m + m + m).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 10\/23, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 14. Suppose -95 = k - 4*k - r*o, k + 2*o = 30. Let m be -2 + 1 - k\/(-56). Which is the closest to m? (a) -3 (b) -4\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5043, -10117, -15191, -20265?\nAnswer: -25339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 3*t**2 + 4*t + 1. Let z be k(4). Let q(n) = 2 + n**2 - 1 + 6*n + z. Determine q(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2319186009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i - 11 + 11 + (2*i - 2 + 2)*(70 + 14 - 12) + (-1 + i + 1)*(0 + 2 - 1) - 3*i + 1 - 1 + 2*i + 5 - 5 + (-1 - 2 + 1)*(-i + 3 - 3) - 2 + 2*i + 2.\nAnswer: 153*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 1. Let r be (-1)\/(-3) + (-2)\/6. Suppose 5*w - 4*w = r. What is f(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 413 - 390. Let k(u) = -v*u + 38*u - 18*u. Let f(b) = 4*b**2 - 5. Determine k(f(t)).\nAnswer: -12*t**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2111332 by -34612.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-510)\/(-20))\/((-6)\/(-4)). Let d(w) = -l*w**2 + 8*w**2 - 2*w**2. Let t(k) be the second derivative of k**4\/6 + 13*k. Give d(t(g)).\nAnswer: -44*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 31.82, -4, -1, -44, -7, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -83, 822 in descending order.\nAnswer: 822, -10, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 85\/34*(2*1)\/(-1). Let s be (2 - 11\/f)*(3 - -2). What is the highest common factor of 105 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/6)*x*x**(-3\/31))**(8\/5) assuming x is positive.\nAnswer: x**(308\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -7 - 15 - -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395 divided by 79.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = 3*i, -2*c = -7*c. Factor -20*b**2 - 20 - 84*b**2 - 464*b**3 + 80*b + 489*b**3 + 19*b**i.\nAnswer: 5*(b - 2)*(b - 1)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 13 + (-7)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 419793*b**4 - 6*b**3 + 474*b**2 + b + 4914?\nAnswer: 10075032*b - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/6 - 745054*u\/3 - 12417775\/2.\nAnswer: (u - 1490133)*(u + 25)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4. Let u(h) = -h + 1. Let r(t) = b(t) - 3*u(t). Let i be r(3). Let m be 225\/i*(-2)\/(-3). Solve n - 3*l - 16 = 6*n, 5*l = m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -11 + 3 + 19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1442076*g**3*q*w + 3011*g**3 + 50*g**2*q*w**3 - 39*g**2*w**2 + g*w**3 - g*w + 16*w**3 - w**2 wrt q?\nAnswer: 1442076*g**3*w + 50*g**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/5)\/((-48)\/80). Let m = -3.02 + 0.32. Let s = m - 0.3. Which is the biggest value? (a) -2 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 437 (b) 2\/7 (c) 6527\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.92 + -9.93. Which is the fourth biggest value? (a) -3 (b) 4 (c) 0.5 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*o = 1, -2*l - 4*o + 1 = -3. Let v = -5 - l. Differentiate -2 + 5*f**3 - 4*f**3 - 2*f**v wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -4. Calculate the remainder when a is divided by (1 + -7)\/(-3) + 3 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m**3 + 14*m**2 + 14*m + 14. Let z(t) = -2*t**3 + 3*t**2 + 3*t + 3. What is -3*u(r) + 14*z(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) 0.4 (c) -5 (d) -0.12 (e) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/18)\/((-1)\/198). Suppose -a - k = -4*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*m - 30*m + 26. Solve 2*j = m + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399387, -798818, -1198251, -1597686, -1997123, -2396562?\nAnswer: -2796003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*l + 4*s - 16, 2*l = -5*s + 25. Let y = l - 6. Suppose -2*q = q. Solve -2*x + q*f - 4 = -4*f, 20 = 2*x + y*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 9*c - 45. Suppose 5*l = 2*l - 18. Let h be c\/l - (-5)\/2. Solve 3 = 2*b + h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**8\/420 - 11*n**6\/360 - 2*n**3 + 19. Let r(l) be the third derivative of v(l). Find the third derivative of r(z) wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16941828+6\nAnswer: 16941834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*c**2 + c + 2*c + 6*c**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/(4\/6). Let h = 3.5 - 3. What is the closest to -0.4 in h, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 1. Let s be 1*-8*1\/2. Let h be s\/(-10) - 9\/(-15). Let n be 1*4\/1 - h. Determine u(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/35)\/((y*(y*y*(y**(1\/13)\/y)\/y)\/y*y)\/y)*(y*(y\/(y\/(y**(2\/5)\/y)))\/y)**(6\/5) assuming y is positive.\nAnswer: y**(-1943\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -200000 (base 4) to base 13\nAnswer: -c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:05 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 - 6. Let z(o) = 3*o**2 - o + 6. Let r(f) = -4*h(f) - 5*z(f). Determine r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -711.9 - -800.849. Let j = q - 89. What is j rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412328.321224 - 18.\nAnswer: -412346.321224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 86585821421008 plus 2?\nAnswer: 86585821421010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -36 - 36. Let l be 1\/6 + y\/72. Solve 4 = -l*s + 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 813, 20, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 208419611563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.3 (c) -1\/3 (d) 3\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k\/(k**(-13)\/k)*k)\/k)\/k))\/k)\/(k**(1\/13)\/k) assuming k is positive.\nAnswer: k**(-170\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + (24\/(-2))\/4. Let r = g + -2. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 263 = 5*z. Let m = -1 + z. Suppose -113 = -5*l - m. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -744\/5 or -148?\nAnswer: -744\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48238?\nAnswer: 2, 89, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -3, 0, 4, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -1115*x**4\/12 - 357*x**3\/2 + 486*x - 2. What is the second derivative of b(r) wrt r?\nAnswer: -2230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 - 94. Calculate the lowest common multiple of b and 3\/((3\/14)\/1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + -5*sqrt(204))*3)\/(sqrt(72)\/(sqrt(6) - sqrt(6)*3) - sqrt(12))*-2.\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2387336?\nAnswer: 2, 7, 89, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114381526*g - 383525915?\nAnswer: -114381526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87372 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1320*m + 691*m + 468*m = 5313 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279162?\nAnswer: 2, 3, 13, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c - 5*y - 71 = 0, -c + 4*y - 16 = 0. Let h = 34 + c. Suppose 0 = -4*q - 2*q - h. Is -0.04 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4097.857 grams in nanograms?\nAnswer: 4097857000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/78)\/(37 - (9 - -30)).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 252*w - 112. Is 39 a factor of i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1009, 1008, 1007, 1006, 1005?\n\"Answer: -s + 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10973347 by 142511.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 985 divided by -512?\nAnswer: -985\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -5, -8086, 10 in decreasing order.\nAnswer: 10, -1, -2, -5, -8086","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 236310000 rounded to the nearest one million?\nAnswer: 236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 13*v + 1351. Let m be u(-91). Solve -m = -44*w + 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**3 + 1 - 4*g**3 + 2)*(-63 - 67 + 35) - 8*g**2 + 8*g**2 - g**3 as i*g**3 + l + a*g**2 + p*g and give l.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 266154 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*w + 134 = l, 4*l - 176 = 4*w. Let c be 12\/l + (-2)\/7. Suppose -7 = -4*y - 3. Is y >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -27*(-2 - 5\/(-3)). Suppose 4*l - k = 3. Solve 4*s = -3*c - 3, 0 = 5*c - l*s + 2 - 26 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, 0, 0.07, -6\/83 in decreasing order.\nAnswer: 2, 0.07, 0, -6\/83, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1546 or -51?\nAnswer: -1546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*i + 23, -44*i + 42*i - 2 = 2*h. Let j(x) = -x**3 - 3*x**2 + 2. Let s be j(-3). Let r(z) = 3*z - 3. Let y be r(s). Solve -6 = -y*q - i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/2 or 2?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 52*u**2 + 67*u**2 - 1.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*p + 5*t + 10, -t = 5. Suppose -q = 2*j + 8, -5*q + 3 = -4*j - 13. Suppose p = o - q - 2. Is 2 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341 and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 674 - 669. Solve m = p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 4) in base 7?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 675, 677, 681, 687?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -353 at least -1758\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5141514*d**3 - 199918*d**2 + 19*d?\nAnswer: 30849084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 13, c: 3, e: 2}. What is prob of picking 2 c and 2 r?\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c. Let y(m) = -4*m**2 - 4 + 13*m - 8*m - 1. Let u(w) = -w**2 + w - 1. Let z(f) = -5*u(f) + y(f). Calculate z(q(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 2*n - 10 + 37, -2*u = 4*n - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -47. What is the closest to f in -0.5, 2\/5, -1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + -78. Let n = -53 - h. Let o = n + -63. Do o and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = 8*y - 780. Calculate the lowest common multiple of y and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 12*z + 22. What is n(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o - 19. Suppose -7 = l - 3*p, -7*l + 3*p = -2*l - 13. Let f(i) = -9*i + 29. Give l*f(a) + 8*r(a).\nAnswer: 3*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Suppose 2*b - 7*c - c = -1902, 5*b + 4*c = -4755. Let s = b - -967. Solve s = r*q + 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, 58, -3, -24 in descending order.\nAnswer: 58, 4, -3, -11, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 478727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d - 2*d + 6*d + (2 - 1 + 0)*(-d + d - d) - d - d + 4*d - 6*d + d + 0*d)*(0*d + 0*d + 9*d) in the form t + l*d + a*d**2 and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/27 - (-2)\/6 - 0. Let a = 3.8 + 1.2. Let w = 0.25 + 0.05. What is the nearest to 3\/5 in w, a, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/5 - 16112*u**4\/5 + 32044162*u**3\/5 + 1633404932*u**2\/5 + 3762837624*u - 44418091536\/5 = 0. What is u?\nAnswer: -26, 2, 4053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 29 + 31 = 0. Suppose -4*o + 11 = -t, o - j = -2*o + 2*t. Suppose -5*a + q = -4*q, 0 = -3*a + o*q. Solve a = u - 5*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*a**2 - 2*a + 109*a**2 - 107*a**2.\nAnswer: -121*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.181 + -3.481. Sort 1\/4, 5, 2\/17, 14\/15, t in descending order.\nAnswer: 5, 14\/15, 1\/4, 2\/17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 746 - 660. Let g = 605\/7 - p. Sort 1\/2, g, -0.3, -1\/3.\nAnswer: -1\/3, -0.3, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w - 66. Determine x(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:57 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tytyydytyty?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/13045860 and 38\/567?\nAnswer: 91321020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**4\/2 - 53*g**3\/3 - 83*g**2 - 2*g + 143. Find the second derivative of r(x) wrt x.\nAnswer: 12*x - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -366 - -2215\/6. Find the common denominator of 40\/9 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (69\/5658)\/((-3)\/(-24))\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (2 - 3) - -8. What is the units digit of 44\/6 - (-6)\/x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.896 rounded to zero decimal places?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**6\/120 - r**5\/15 - r**4\/4 + r**2. Let g = -8 + 13. Calculate q(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 3. Let x be a(-11). Let g = -3 - x. Let m = 18 - g. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/3 and -1.64388 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35826176*s**4 + 2*s**2 - 20869702?\nAnswer: -859828224*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2723358 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33035?\nAnswer: 5, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*s + 840*s**4 + 192*s**4 + 59*s + 7 - 9 in the form t*s**2 + v + o*s**3 + j*s + d*s**4 and give d.\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7948, -16799, -25650?\n\"Answer: -8851*k + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(176)*-1)**2 + ((sqrt(44) + 0)*-3)**2.\nAnswer: -32*sqrt(11) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -15. Suppose 2*t + d*h - 167 = 0, -631 = -5*t + 5*h - 176. Suppose 0 = 4*b - 5*j - 802, -j = b - t - 117. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 9*z**2 - 8*z. Let w be x(-8). Let s(c) = -c**3 + 125. Let u be s(w). Suppose 0 = 2*n - 3*a - u, 4*a - 199 = -4*n + 81. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -511*c**4\/4 + 358*c**3 - 192. Find the third derivative of a(j) wrt j.\nAnswer: -3066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**2*n + 624797*i**2*t**2 - i**2 + 2*i*n*t**2 + 2*i*t**2 + 2*i*t + i - 59*n*t + 55 wrt t.\nAnswer: 1249594*i**2 + 4*i*n + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, q: 1, s: 2, f: 1, w: 1, p: 3}. What is prob of sequence fmmq?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17897*n**3 - n**2 - 7*n + 405 wrt n?\nAnswer: 107382*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in -0.4, -1\/12, 0, -6, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28015945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 + 29921356*j + 335732829329526.\nAnswer: 2*(j + 22441017)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**3 - 63*p**2 - 14*p + 11. Let w = -252 + 268. Is 3 a factor of t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2*(-253)\/(-46)*20\/55. What is the third smallest value in t, -186, 1\/2, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 35 - 13*z)*(2*z**3 + z**3 - z**3).\nAnswer: -26*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 981 and 26760?\nAnswer: 8750520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y + 2*y - y + (-2 + 2 + 2*y)*(5 - 6 + 0) - 2*y + 3*y + 3*y - 3*y + 0*y + 2*y + 0*y - y + 5*y as n*y + g and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let x(d) be the first derivative of -3 - 13 - 7 + 17*d**3 + 2. Give w(x(q)).\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-133)\/(-1435))\/(-1)*(-228)\/2166\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -636, -638, -642, -648?\n\"Answer: -p**2 + p - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61892794*g**2 + 7*g**3 - 61892794*g**2.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(12\/(-384)*-20)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)*3)\/(sqrt(729)*-1 + sqrt(9)).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -197*d**3 - 4*d**2 + 44. Let h(o) = -o**2. Let r(n) = -4*h(n) + t(n). Differentiate r(j) with respect to j.\nAnswer: -591*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-28 - 4)\/4 + 4. Let q = -83 - -78. Sort q, 0, i, -1.\nAnswer: i, q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.67 > 152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88)*-1 - sqrt(88))\/sqrt(4))\/(sqrt(11)*4*-1).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 34*n = 891. Calculate the remainder when 807 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 2\/9 (c) 5\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-117))\/((-2)\/2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - n**2 - 7*n - 29. Let s be o(7). Let q be s*-4*(-8)\/64. What is the highest common factor of q and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18170350019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6736 and 2472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35166?\nAnswer: 2, 3, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 8:14 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -458, -803, -1146, -1487, -1826?\n\"Answer: d**2 - 348*d - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 3*m**3\/2 - 21*m**2\/2 - 11*m. What is the lowest common multiple of 3 and g(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 22, 1\/6, -26\/159 in decreasing order.\nAnswer: 22, 1, 1\/6, -26\/159, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5*o**3 - 7 - 1 - 7*o**3 - 11.\nAnswer: -2*o**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36 or 2\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260398394?\nAnswer: 2, 131, 993887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 u, and 1 r when four letters picked without replacement from {u: 1, g: 5, r: 3}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.085 and 57?\nAnswer: 859.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 + n**2. Let u(z) = -4*z**3 - 2*z**2. Let h be 34\/(-17) + (-7)\/(-1). What is h*k(j) + 2*u(j)?\nAnswer: 2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 1:12 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 58?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(38)\/sqrt(2))**2 + (sqrt(19) + 0)*-4.\nAnswer: -4*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 14*x + 3. Let m be p(14). Suppose 3*z - m*c - 29 - 19 = 0, -4*z + 2*c + 60 = 0. What is the remainder when 35 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 + 11*k**2 - 13*k + 112. Give h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n**2 - 5*n - 3. Let a be x(2). Suppose 2 = 3*z + 2*m + a, z + 4 = m. What is the units digit of (z\/2 - 0)*(-428)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011759 is divided by 4251?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + 3 + sqrt(1573) + sqrt(1573)*1 + 3 + sqrt(1573) + -4.\nAnswer: 2 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + 1 + sqrt(108) + 2 + 5).\nAnswer: 24*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 2*w**2 + 0 - w + 0*w**3 + 7\/12*w**4. Find the first derivative of s(t) wrt t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 14*d**2 + 11*d + 2. Let p(c) = 41*c**2 + 32*c + 6. Let l(r) = 6*p(r) - 17*w(r). Let g be l(-3). Let z = 89 - g. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 200.37? (a) -8 (b) 0.01 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8\/43 (b) -0.08 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -3) + 28\/28. Solve 4*l - f*x = -28 + 11, -3*l = 2*x - 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*24\/(-144)*(-18)\/42\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 less than 95716\/183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 l, and 1 k when four letters picked without replacement from lvlvlnknl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (6 + -13 - -2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 627228 + 252939 = 0. List the prime factors of b.\nAnswer: 3, 41, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 5. What is the second derivative of -m*n + 15*n - 2*n**4 - 5*n**4 wrt n?\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685*n - 1082*n - 481*n + 3*n**3 + 132*n - 391*n.\nAnswer: 3*n**3 - 2507*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2720 and -16\/22865.\nAnswer: 731680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33121, -66230, -99331, -132424, -165509?\n\"Answer: 4*s**2 - 33121*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*((-3 + sqrt(448) + -5)*1 + (sqrt(448) + -3 + sqrt(448))*5 + 4).\nAnswer: -88*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -285681776567.000046 - -285680123594. Let q = -1652952 - m. Let b = q - 21. Round b to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 2*w. Let o be h(-3). Let x be (-19)\/((-114)\/(-612))*o\/8. Let j = x + -38. What is the third smallest value in -0.5, j, -1, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4673616 and 44.\nAnswer: 51409776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. Let q = 12 + -12. Let o = y - q. What is the biggest value in 3, 1, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/(-44) - ((-285)\/12)\/5. Let z(u) be the third derivative of -1\/150*u**5 + 0 - 1\/15*u**h - 1\/5*u**3 + 7*u**2 + 0*u. Factor z(n).\nAnswer: -2*(n + 1)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -9*f + 166. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 16436?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52475*n**3 - 4*n + 20015 wrt n?\nAnswer: -157425*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1550 and (20\/(-26))\/((-66)\/4290)?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -573, -1300, -2319, -3630, -5233?\nAnswer: -7128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(448) - sqrt(448)*2 - sqrt(448)) - ((1 + sqrt(448) - sqrt(448)) + 0)) + -1)**2*-6.\nAnswer: -10758 - 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2806*c + 150 + 2798*c - 2 as r + p*c and give r.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 23 (c) -1\/3 (d) -3 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 379461499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - -2 - (-41 + 50 + 13 + -12 + -2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkve when four letters picked without replacement from wxwkwkkwvwveewewwek?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7165 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5991 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 26537*t. Let y(u) = 2*u**2. What is y(k(j))?\nAnswer: 1408424738*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37552804 - 0.1?\nAnswer: 37552803.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 6*z**2 + 4*z - 21. Let b be x(6). Solve m - 20 = -b*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 1651 = 1669 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*t - 70 = 0, 282 = 5*v + t - 12. Let b = v + -231\/4. What is the second smallest value in -0.4, b, 1\/3, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -709*w**2 + 2 - 2 + 2003*w**2 + 2*w**3.\nAnswer: 2*w**3 + 1294*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 973\/14*(-1 + 3). Suppose i + b - 535 = 0. Suppose 7*r = 11*r - i. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5*(-2)\/(-4). Let w = -49.3 - -39. Let d = -10 - w. What is the nearest to 1 in -1\/4, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*n**3 + 0*n**2 + 0*n**2 - 17*n**3 + 3*n**2 as z + b*n + t*n**2 + o*n**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 24595.542us?\nAnswer: 0.0004099257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6.1. Let r = 419 - 419.1. Which is the nearest to r? (a) -5 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.02 - 0.02. Let d be 1 + (-1355)\/452 + 2. Let h = 923\/8588 - d. Which is the closest to -0.1? (a) -2\/3 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4525\/2 - 13585\/6. What is the third biggest value in -0.3, x, 2, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-552)\/(-598)*-13)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:39 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111010101101110001 (base 2) to base 16.\nAnswer: fab71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 l when three letters picked without replacement from {o: 4, w: 6, l: 1, j: 3, n: 1, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - (-11 + 18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78990 + 147235. List the prime factors of s.\nAnswer: 5, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.13, -2\/13, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31824 and 6.\nAnswer: 31824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u = -5*b - 7*u - 37, -4*u = -b - 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 20 = -5*g, 7*t = 4*t - 4*g - 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 1 (c) 0 (d) -1\/2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3424 - 3399. Solve -f*i + 28*i = 3*h - 3, 0 = -3*i + 2*h - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 0 = 4*g + 4, -1 = 5*w + g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 6*u + 4. Let k be -5 + (0 - (-1)\/(-1)). Let h be i(k). Suppose 3*o = 2*n + 1, -13 = 2*n - n - h*o. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -87?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 26, 1039, 4, 0 in descending order.\nAnswer: 1039, 26, 4, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + (6 - 9) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/327)\/((-3)\/18). Let b = -341\/763 + u. Let q = -2 - -3. Is q >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.597 - -1.097. Suppose -3*m + 2*m = -3. Suppose 2*t = -5*q - 3*t + 5, 2*q = -t - 3. Sort m, s, q, -1 in descending order.\nAnswer: m, s, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/11)*d)\/((d*d\/(d*d*d**20)*d)\/d) assuming d is positive.\nAnswer: d**(233\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 2 - (4 - -3 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -17*q + 4. Let y(m) = 49*m - 14. Let a(n) = -7*d(n) - 2*y(n). Let g(u) = -2*u. Calculate g(a(l)).\nAnswer: -42*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60181 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = 66 - 16, -3*k = 2*a - 1421. Calculate the lowest common multiple of 1749 and k.\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**2*l**2*o + h**2*l + 12*h**2*o + 22*h*l**2*o + 5*h with respect to l.\nAnswer: 8*h**2*l*o + h**2 + 44*h*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 1. Let o(v) = 7*v + 31. Calculate -5*j(u) + o(u).\nAnswer: 2*u + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -2\/7 (c) -0.3 (d) -6 (e) -5\/4 (f) -5\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -17, 39, 0 in decreasing order.\nAnswer: 39, 0, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/6*(-12)\/30. Let v = -187 + 1311\/7. Which is the nearest to v? (a) 0.2 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 - 172*a**2\/3 - 2261*a\/3 - 7742\/3.\nAnswer: -(a + 7)**2*(a + 158)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2168 - -2171. Solve n*m + 35*i - 34*i = -12, i + 17 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22073*m + 44147*m = 22120*m + 2162 for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**5 - 28*j**4 + 250*j**3 - 656*j**2 + 648*j + 8. Let m(s) = -s**4 - 2*s**3 + s**2 - 1. Let a(f) = 8*m(f) + q(f). Find d such that a(d) = 0.\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6784\/(-4240)*(-13)\/(-8)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let p be c(1). What is the units digit of 1\/p*(0 - -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 39, 40, 41, 48?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 1. Let n be h(6). Let i be (-27)\/21 - (-2)\/n. Let r(m) = -m**2 - 2*m + 2. Let w(u) = 2*u**2 + 5*u - 5. Let c(b) = 5*r(b) + 2*w(b). Give c(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6305 and 2608645.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -101, 5, 3, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -77. What is the remainder when 614 is divided by f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/66)\/((-6)\/33).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172387, 172336, 172277, 172216, 172159, 172112, 172081, 172072?\nAnswer: 172091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*p - 10. What is the second derivative of p*c**2 - 3*c**2 + c - 6*c**4 + 2*c wrt c?\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25014439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, f: 7}. What is prob of sequence faaf?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 3836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 10, 3, -3 in increasing order.\nAnswer: -3, 1, 3, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(112) + 6*(sqrt(112) + 0) + sqrt(112))*5)**2.\nAnswer: -1600*sqrt(7) + 179225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108.9 * -7093.\nAnswer: 772427.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2087477*c**2 + 4175777*c**2 - 2088284*c**2.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y + 19*y**2 - 10*y - 6*y + 18*y + 1. List the prime factors of x(2).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -434*t**3 - t**2 - 11*t + 12. Give b(1).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Suppose 0 = j - v*j - 2*p - 5, 0 = -5*j + 2*p - 13. Calculate the common denominator of -11\/10 and (-2)\/(-4) - (-55)\/j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 + 4) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 2330?\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 60*x**2 - 44*x + 37. Let u be b(6). Do u and 1936 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = 5*q - 34, -2*q + 19 = -3*h. Solve 4*l + 4 = q*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-702450)\/(-441) - 2\/(-14). Suppose 2*d = d - 2*z + w, -4*z = d - 1595. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2\/33))\/j)\/j*j**(-24)\/j*(j**(3\/14))**(-5\/2))**(-17) assuming j is positive.\nAnswer: j**(415871\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -974 + 50*v - 10*v + 3*v**2 + 974 to a + y*v + r*v**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 8 + 0*f - 8*f**2 + 6*f**2 - 2*f in the form d + t*f + c*f**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4088?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114977 is divided by 28742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1699, 6794, 15285, 27172, 42455, 61134, 83209?\n\"Answer: 1698*o**2 + o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/150 and 61\/7509.\nAnswer: 375450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -236 and 0.04 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 20*o - o)*(13 - 6 - 5*o**2 - 8) + 0*o**3 + o**3 + 2*o**3.\nAnswer: -72*o**3 - 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 9*c + 2. Let l(k) = 5*k**2 + 19*k + 5. Let t(g) = 4*l(g) - 9*o(g). Determine t(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 34*i**2 + 40. Let z be g(34). Suppose 0 = 5*k + 5*l - 40, k + 2*k - 5*l = z. What is the lowest common multiple of k and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/7 - 4552*y**2\/7 + 736763*y + 52029610\/7.\nAnswer: (y - 2281)**2*(y + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.677 - 8.977. Suppose 0 = -4*k - 4*v - 16, 5*v + 11 = -3*k + v. Let x be 5 + -1 - (-1 - -3). What is the nearest to x in k, 2\/9, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*h + 153 = 0, 5*w - 699 = -4*h + 54. List the prime factors of w.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4\/c**(-31))\/(c**(-9))**(1\/14))**(11\/5) assuming c is positive.\nAnswer: c**(5489\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 17*a**2 - 8. Let v(z) = 987*z**2 - 462. Let d(f) = -231*q(f) + 4*v(f). Let r(k) = -2*k. Calculate d(r(g)).\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 49, 4, -129 in decreasing order.\nAnswer: 49, 4, -5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158 - -160. Solve 0*c - 8 = u*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:56 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 7*d**2 + 21*d - 6. Is q(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (666 - 20*v - 666)*(2*v**3 - 5*v**2 + 3*v**2 + 0*v**3) to u*v**2 + b*v**4 + l*v + w + a*v**3 and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2191416 and -87\/2556652.\nAnswer: 15339912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w = -i - 5, -5*i = -2*w + 1. Suppose 3*o - 4 = -1. Let r be (6\/243)\/(-1 - o). Which is smaller: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 0 (c) 0.49 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.01371 - -0.33371. What is the nearest to -0.1 in u, -0.5, 19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + (136\/2 - -2)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 3 = 5*w + j, 3*w - 16 = 5*j. Solve 3*i + w*i + 15 = 0, 0 = -5*v + 2*i + 31 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 8*w + 33. Let p(k) = 2*k**2 - 7*k + 32. Let y(d) = -2*p(d) + 3*u(d). Give y(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**4\/12 - k**3 - 3*k**2 - 9*k. Let t be j(-4). Solve -15 = m + t*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 58.160099\nAnswer: -29.0800495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1596421?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 22*y - 85. What is x(3)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19261, -76639, -172271, -306157, -478297, -688691, -937339?\nAnswer: -1224241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(((y**9*y)\/y)\/y)))\/(y*y\/((y*y\/(y**(-2\/37)*y*y*y*y))\/y))*y*y**(2\/11)*(y**7*y)\/y assuming y is positive.\nAnswer: y**(4573\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89834 is divided by 190.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + (8 - 244) + 11. Put 1\/3, f, -2 in increasing order.\nAnswer: f, -2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -435 + 435.3. Let s = -3.9 - 0.1. Sort 0.4, s, y in increasing order.\nAnswer: s, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34248 = -57*n + 32994 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -231?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*j**4 + 60*j**4 - j**4 + (j**2 - 5*j**2 + 3*j**2)*(-2*j + 2*j**2 + 2*j) + j**4 - 5 + 5)*(3 - 7 + 3).\nAnswer: -109*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -462 (base 12) in base 3?\nAnswer: -220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 27*h**2 - 214. Is 20 a factor of j(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyayya. Give prob of picking 2 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/489 and 8\/75.\nAnswer: 12225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6828479353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1326)\/136)\/((-2)\/8). Let f = 43 - u. Solve f*c - 2*w - 3*w = 5, c - 20 = -5*w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 373 + 280. Suppose 6*l = 1075 + i. List the prime factors of ((-1)\/1)\/(-2*3\/l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 0 + 2 - 4 - 1 - 5*o. Suppose -n = d, d - 9 = -2*d. What is the remainder when x(n) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-43)\/d)**(-15))**(10\/7))**(-2\/7) assuming d is positive.\nAnswer: d**(-13200\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 11782335040 to the nearest one million.\nAnswer: 11782000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(25 + -22) - 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159681 - 51681. What is y rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28248 and 4241688?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*c + 16 = 0, 4 = -6*l + 2*l - c. Solve l = 2*z - 3*x, 2*z + z + 2*x + 13 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*3)**2 + (sqrt(567) - 2*sqrt(567))**2 + 2 + (sqrt(7) + -5 + sqrt(21)\/sqrt(3))**2 + (sqrt(112))**2*6.\nAnswer: -20*sqrt(7) + 3562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkf when three letters picked without replacement from {k: 3, w: 9, t: 2, f: 1, y: 2, s: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l + 9 = 3*b, -l + 4*b = 4. Let d be l\/(-36)*1*3 - 44. Let u be (-4 - 456\/9)\/((-4)\/d). Round u to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose -c = g*c - 6. Solve -15 = -c*j - 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2009503, 2009534, 2009589, 2009674, 2009795, 2009958, 2010169, 2010434?\nAnswer: 2010759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -21*d. Let m(g) be the second derivative of 0 - 22*g + 0*g**2 + 0*g**3 - 1\/12*g**4. Give m(s(n)).\nAnswer: -441*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001626 to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from {a: 2, p: 1, e: 14}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22114447*u**2 - 3*u + 94253078 wrt u?\nAnswer: 44228894*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 348587\/6050 at most as big as 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = n - 5*w, -5*n - 2*w + 105 = 3*w. Solve 3*o = -o + n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-112)*7 + 21\/(-4). Put 3, f, 117 in increasing order.\nAnswer: f, 3, 117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 5:12 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 769650000 rounded to the nearest 1000000?\nAnswer: 770000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.79888786 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41 (b) 2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -n - 4*r, n - 2*r + 3 + 0 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 1, e: 2, l: 3, x: 1, p: 4}. Give prob of picking 1 p and 1 e.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2548\/(-36) + (-4)\/18. Let y = r - -427\/6. What is the second biggest value in y, 1, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, p: 1, e: 7, r: 2, i: 1}. What is prob of picking 2 r and 1 i?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156 - -163. Let q(b) = -5*b**2 + 17. Let v(g) = -2*g**2 + 8. Determine a*v(d) - 3*q(d).\nAnswer: d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 2:36 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007452474 to 6 dps.\nAnswer: -0.000745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4 + 44136*o**3 - 486686550*o**2 - 6865325000*o + 475122984375 = 0.\nAnswer: -39, 25, 22075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.6, 2\/3, -144\/11, 3\/7 in decreasing order.\nAnswer: 2, 2\/3, 0.6, 3\/7, -144\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -272, -982, -2134, -3728, -5764, -8242?\n\"Answer: -221*d**2 - 47*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 36000\/(-2500) - ((-6)\/(-5))\/(10\/(-75))\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0*k**7 + 0*k**6 + 0 - 4\/3*k**4 + 3\/14*k**8 + 0*k**2 - 11*k + 0*k**3 + 0*k**5. Find the third derivative of z(v) wrt v.\nAnswer: 1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (126*l**3 - 101*l - 116*l + 211*l)*(-4*l - 3*l - l) to m*l + c + o*l**3 + t*l**4 + y*l**2 and give t.\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5002681013?\nAnswer: 11, 3931, 115693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37258 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -19, 3, 5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*t = -3*i + 544, -4*i = -3*t - 764. What is the remainder when i is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 163?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.145 + 69.955. Let s = 70 - n. Let i = 13\/2 + -113\/18. Which is the closest to i? (a) s (b) -3\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 282 = 196. Is j 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 540771?\nAnswer: 3, 7, 11, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4*-1 + 30 + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(1088) + 1)*-1 - -6*(sqrt(1088) + 1)))**2*3.\nAnswer: 480*sqrt(17) + 81612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 597*k - 1 + 302*k + 296*k - 33*k**2 to j*k + u + s*k**2 and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.62525 + 0.27853. What is g rounded to two decimal places?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 620 - -1166664\nAnswer: 1167284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10489.944 + -0.4\nAnswer: -10490.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -223 - 353 + 1568 + 2*n**2 - 540*n**3 - 5*n**2 + 1058 wrt n.\nAnswer: -1620*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 5*k**2 - 4*k + 3. Let c be g(-4). Suppose -c*y - 7 = -25. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-733)\/6597)\/((-1)\/297)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 26*h - 156 = 0, -305598*k + 5*h = -305599*k - 30 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssswsss. Give prob of picking 3 s and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61648915.\nAnswer: 5, 2659, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 - 11526*b**2\/5 - 1191258*b\/5 - 6101946.\nAnswer: 2*(b - 5865)*(b + 51)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 1, b: 1, w: 1, e: 1}. What is prob of sequence ew?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3484*q - 3 + 2 + 10442*q - 3478*q - 3464*q.\nAnswer: 16*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 22*h**2 - 22*h + 36. Let w be q(-22). What is the highest common factor of 60 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 145059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. Let x(l) = l**2 + 11*l - 3. Let g(r) = -2*r**2 - 12*r + 3. Let w(n) = 2*g(n) + 3*x(n). Let f(a) = -4*s(a) + w(a). List the prime factors of f(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 8 = -5*u. Suppose 0 = -3*r - 0*q - 3*q, 0 = u*r - 2*q. Let a(i) = -4*i + r*i - 3 + i + 1. Give a(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -3) + -20 + 6 + -7 + 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 5)*(0*y - y + 3*y) - y - 3 + 3 - y - 2*y + y + 2*y - 3*y - y + 1 - y - 1 - 1680 - 90*y + 1680 + 0 + 0 - 2*y in the form z + c*y and give c.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11312 divided by 1616?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*b**3 - b - 44*b**3 - 2*b in the form y*b**2 + i*b**3 + s + j*b and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6302 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 3\/47 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = k + 2*n + n, 5*k + 5*n - 45 = 0. Calculate the smallest common multiple of 8 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -51*i**5\/4 + 60795*i**4\/2 - 14151*i**3\/4 - 91167*i**2 - 50067*i + 7152 = 0.\nAnswer: -1, 2\/17, 2, 2384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-60)\/(-8))\/15*(2 + 2). Determine l, given that h - l**2 - 2 + 110*l - 101*l = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17153*p + 17171*p - 450 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 28*r**2 + 134*r + 4. Let a be m(22). Let v be ((-24)\/32)\/((-9)\/a). Solve 2*c + 8 = v*i, 2*c - c + 4 = 4*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190498 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v + 13 - 22 - 2*v**2)*(-6 + 4 + 3)*(-2 + 7 - 4)*(-119 + 119 - 85*v).\nAnswer: 170*v**3 - 85*v**2 + 765*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*p - 77*p - 474 = 0. Differentiate p*k + 68 + 7*k + 24*k with respect to k.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1020.01529 + 0.42071. Let k = x - 1017. What is k rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1889 - 0.8111. Which is the closest to 2? (a) g (b) -11 (c) 2\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 53 - 267 = 0. Suppose 4*m = -q + 72. Solve -m*k + k = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (747*t**3 + 159*t**4 - 747*t**3)*(2*t - t + 0*t + (13 - 3*t - 13)*(-2 + 1 + 0)).\nAnswer: 636*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1144, -2285, -3424, -4567, -5720, -6889?\nAnswer: -8080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -2*l - 131. Suppose 0 = -l*f + 18*f, 10 = y - 2*f. Solve 5*n - 5*g - y = -0*g, -3*g = -n + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:28 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 64*i**2 + 122*i**3 + 53*i**4 + 8*i - 14*i + 18*i. Let c(z) = 54*z**4 + 121*z**3 + 65*z**2 + 13*z. Let h(t) = 4*c(t) - 5*x(t). Solve h(y) = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24412 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 13*c - 16. Let u be l(2). Let r(v) = -10*v**2 - 12*v**2 + 14*v - 5*v - u*v. Let y(g) = 2*g**2. Give r(y(s)).\nAnswer: -88*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6492201, 12984397, 19476593, 25968789, 32460985?\nAnswer: 38953181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**3\/2 - 4*j**2 + 31*j. Suppose -4*v - 6 = 3*g, 4*v = -0 + 12. Determine y(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 12*d - 128. Let x be z(11). What is the first derivative of -37*q**4 - q**4 - 3*q**4 + 115 - 70*q**x wrt q?\nAnswer: -444*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442969 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5 - 1, 4*t = -3*i + 18. Suppose -4*f - 5 = z - t, -8 = 4*f + 4*z. Solve 10 = g - 2*d, f*d - 28 = -4*g + 5*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -131*b + 13. Let f be i(-11). Suppose 0 = -3*c - g + 868, 0 = -9*c + 4*c + 2*g + f. Suppose 4*s = -w + 222, -4*s + 5*w = s - c. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2 + 81\/(-14) - (1871 - 1877)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15246571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**5 - c**4 + c**2 + c. Let z(o) = 5*o**4 - 5*o**2 + o. Let l(d) = 15*r(d) + 3*z(d). What is the second derivative of l(p) wrt p?\nAnswer: 300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5. Suppose g*u - 2*u = n - 18, 3*n - 5*u = 43. Calculate the lowest common multiple of n and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -216*b**3 + 426*b**3 - 209*b**3 - 6*b**2 - 6 + 7*b. What is t(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 52. Let w = h + 4. Suppose 0 = t - 7 + 3. Put -2, t, w in descending order.\nAnswer: t, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2454243 (base 7) to base 8\nAnswer: -1151200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*o - 90*o + 47 = 138 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-480)\/(-128) - ((-5)\/4)\/1. Suppose -9*h + 648 = -p*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let z(s) = -941271*s. Give m(z(v)).\nAnswer: 941271*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 591 = -i, -i + 6*i = 5*m - 720. What is the remainder when m is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -541*b - 60. Let z be f(-7). Let x = z + -1927. Round x to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-164)\/(-37310)*195*(-14)\/(-40)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y - 5 - 8*y**5 + 3 + 2 wrt y.\nAnswer: -160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*n - 3*n + 26*n)*(2*n + 3*n - n) + 14*n - 14*n + 2*n**2 + 2.\nAnswer: 46*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 6. Let l be w(2). Let b(d) be the first derivative of 8*d**2 - l*d**2 + 4 - 5 + 3. Calculate b(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4 - 6*d**3 - 9*d**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - ((-16)\/(-3) + -1))*(-629)\/3145. Let a(b) be the first derivative of 2\/9*b**2 - 25 + 2\/27*b**3 - p*b. Let a(o) = 0. What is o?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -40) + 812 + -828 - 64\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + q. Let h be p(1). Suppose -2*z = 4*s - 16, h*s + 12 = -3*z + 5*s. Suppose 0 = 3*f - 9, 1 + 6 = 5*b + 4*f. Is z != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103 - 33 - (16 - (15 + -7) - (2 + -9)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 278844 and 46474?\nAnswer: 278844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -67*t**2 + 405*t - 16. Let g be a(6). Solve g - 22 = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/4)\/3)\/(393\/1048)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26301508, -26301499, -26301484, -26301463?\nAnswer: -26301436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 97 - 97 + b**2. Let z(l) = -21*l. Calculate z(q(n)).\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.5. Let a be 3\/((7\/2)\/(329\/423)). Let r be -1 + (-1)\/(10\/(-8)). What is the closest to 1 in r, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/105 and 1\/2445.\nAnswer: 17115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jldj when four letters picked without replacement from {j: 4, d: 4, u: 2, l: 5}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -38126561 <= -38126559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5829, 9, 2, 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476943351?\nAnswer: 13, 109, 643, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2365240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38580 and 80?\nAnswer: 154320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*y - 23521 = 44*y + 2*d, -7837 = -y - d. What are the prime factors of y?\nAnswer: 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1532\/15 + 102. What is the biggest value in 1\/4, -1, r, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80*i**4 - 1179*i - 252*i**4 - 59*i**4 - 344*i**4 + 147*i**4 wrt i?\nAnswer: -7056*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5*(-1)\/1)\/(-1). Let l(w) = -f*w**2 + 3*w**2 + 0*w + 0*w. Let r(n) = -2*n**2. What is l(r(v))?\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5202468?\nAnswer: -1\/1300617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((3 - 7) + 2)*70\/4. Let t = u - -38. Find the second derivative of -2*i + 5*i**4 + t*i**4 - 8*i + 2*i**4 wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -26 + 1. Suppose z*g - 673 = -m + 2*g, 0 = 2*g. Suppose 3*d + 5*f - m = 0, -d = 3*d - 4*f - 876. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 13726*k**3 - 2*k**2 + 6*k - 3. What is the ten thousands digit of q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.023 in -0.06, 2\/3, -0.07, -2, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-87*o**2 - 39*o - 73*o + 116*o)*(0*o + 0*o - 3*o) to a*o + v*o**3 + z + i*o**2 and give v.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbb. What is prob of sequence gb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 37 - -39) + -24.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f + 3. Let x be n(-1). Solve -d - d = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.055 - -0.055. What is the closest to -2 in -1\/7, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.7 plus -0.582667969?\nAnswer: -40.282667969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 12979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Let o be ((-2)\/1)\/(c\/4). Let v(l) = -l**2 - 5*l - 2. Let r be v(o). Solve r*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) + 18\/(-12). Let z be 3 + 2 + c - 2. Let s(v) = -v**2 - 8*v + 8*v - v**z. Let a(h) = 2*h. Calculate s(a(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0 + 4\/105*q**7 + 0*q**5 + 0*q + 0*q**4 + 0*q**6 + 26*q**2 - 11\/3*q**3. What is the first derivative of d(x) wrt x?\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -967a15 + -7a?\nAnswer: -967a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -7, 617, -0.8, 1\/3, 2\/13, 2\/19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.36.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 686381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + f**2 + f + 28. Let q be d(0). Let v = 15 + 27. What is the greatest common divisor of v and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -87196?\nAnswer: -1\/87196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 + 39166*i\/9 + 15345808\/3.\nAnswer: 2*(i + 1256)*(i + 18327)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 45797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = -5*s - 2*f, 0 = f + 2. Sort s, 3, -3, -5.\nAnswer: -5, -3, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(225\/(-140)))\/(2\/5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12.8 and -2.\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 3:42 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -4*q**5\/5 - 7*q**4 + 4*q**3 + 46*q**2 + 56*q + 211. Find x such that h(x) = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6034 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000139683 rounded to seven dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338390 and 2810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:41 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Suppose -12 + 0 = -v*d. Suppose 4*o = -2*h - 16, -5*o = -d*h - 13 + 33. What is the biggest value in o, -1\/5, -0.26?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - -4. Is 9 a factor of (30\/(-8))\/((-9)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/6 + (-15)\/126 and 3\/60*188\/3.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637.8446 years in centuries?\nAnswer: 6.378446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-42))\/((4\/(-30))\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 11*c + 3. Calculate q(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/55)\/6*(-1)\/(-2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10\/3)*a*a\/(a**(2\/19)\/a))\/(a**(3\/2))**(-2\/119) assuming a is positive.\nAnswer: a**(-2804\/6783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -16*p**3 + 252*p**2 - 1699*p. Let u(x) = -7*x**3 + 127*x**2 - 849*x. Let f(j) = -5*c(j) + 11*u(j). What is the second derivative of f(t) wrt t?\nAnswer: 18*t + 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*w + 4738 - 1505 = -4387 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4617 and 89395?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 206345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*w**5 + 3445*w**3 - 3445*w**3 + (-2*w**2 + 2*w**2 - 3*w**4)*(2*w - 4*w + 0*w) + 0*w**5 - w**5 + 3*w**5.\nAnswer: -42*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 521090051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/512 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84270 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002661 rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -5*f + 3*f. Let b = -35 + f. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120243 and 12516?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 82 + 423 = -v, -5*i - 3*v = -809. Sort -4, 5, i, -6, 2 in decreasing order.\nAnswer: i, 5, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.029? (a) -1 (b) -0.558 (c) 698\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 52. Let x be z\/(1\/(3 - 81)). Suppose 0 = 5*b + 5*g - 70, 5*b - g = 2*g + x. Calculate the greatest common factor of b and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**4\/3 - 638*d - 1. Let g(u) = -49*u + 7. Calculate w(g(q)).\nAnswer: -9604*q**2 + 2744*q - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.12469712.\nAnswer: -0.012469712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) -1\/6 (c) 317 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + s. Let k be h(1). Let j be (k - (3 - -1)) + 1. Let x = -1 - j. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -629308 + -0.2?\nAnswer: -629308.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = a - 34, -3*a - 8*k + 3*k + 110 = 0. Calculate the smallest common multiple of 8 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**5 - 3405*j**4 + 30320*j**3 - 53580*j**2 - 121360*j + 268800 = 0.\nAnswer: -2, 2, 4, 5, 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -17*o - 822. Give x(-52).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -378*m**2 + 376*m**2 + 3524 - 5537 to the form v*m**2 + c + n*m and give c.\nAnswer: -2013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 34 = -0*n. Is n*((-27)\/6)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -22*a - 20. Let w be j(-1). Let h be w\/5 + (-9)\/((-270)\/1128). Are 402\/11 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 6*j - 1. Let t be y(6). Let r be t\/((1\/8)\/((-6)\/(-24))). Let p(q) = -9*q**3 + q**2 - 1. Is p(r) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/10)*d**(-3))**(-30) assuming d is positive.\nAnswer: d**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 57 = -61 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1))**(-21)*n**(-7)\/n**(1\/4) assuming n is positive.\nAnswer: n**(-197\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q = 8. Let d be 19\/q - 3\/(-12). Suppose 4*u + 81286 + 2118689 = d*j, 5*j + 25 = 0. What is u rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 433, 764, 1259, 1936, 2813, 3908, 5239?\nAnswer: 6824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -18058*a**2 - 28599. Let b(l) = -1807*l**2 - 2860. Let x(p) = -21*b(p) + 2*g(p). Differentiate x(q) wrt q.\nAnswer: 3662*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.083444 + -360.065556. Let w = b + 360. What is w rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13111 (base 5) to base 15\nAnswer: -48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 + y + 9. Let p(o) = -6*o**2 + 2*o + 14. Let w be (0 - 1)*11\/(-1). Let v = -8 + w. Let g = 8 - v. Calculate g*p(u) - 8*l(u).\nAnswer: 2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*w = -176*w + 189. Calculate the remainder when 257 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.32 in -0.1, -0.14, 0, 2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21980 is divided by 7326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 20*i - 193. Determine m(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 24 = -d, -3*d + 20*w - 21*w = 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 5*h**2 - 2*h. Let q be r(4). Let i = 4 - q. Is 19 + i*(-3)\/4 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*3)\/(6*sqrt(2)*-2).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6936 - 6747. What is the remainder when d is divided by 94?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2268)\/(-16254))\/(682\/10664)\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 13*v + 4. Let n(t) = t**2 - 7*t + 2. Let i be 97\/(-97) - -34*6\/(-2). Let u = 106 + i. Give u*s(l) - 5*n(l).\nAnswer: l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 5455\/19 - 287. Which is the nearest to -1? (a) -3 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) -3 (c) 1\/3 (d) -4 (e) 16\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5929*k + 2971*k + 44 = -2962*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -280 at most -280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151632607.\nAnswer: 7, 73, 42391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 17.8, -542045, -0.4, -5 in decreasing order.\nAnswer: 17.8, -0.4, -5, -542045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 11. Suppose 5*g - 55 = n - 5*n, -n + 26 = 3*g. Determine v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000757 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 490?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 + (3 - 0))*116\/(-8). Suppose t*f = 88*f - 59. Suppose 0 = -4*z - 4*i + 13 + f, 5*z - 84 = -3*i. Calculate the greatest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 2897?\nAnswer: 28a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5357 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 323, 404, 487?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -160361.7 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**4\/12 + j**2\/2 + 10*j. Factor g(c).\nAnswer: -(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 1. Let i(y) = 4*y**2 + 44*y - 44. Give -4*i(l) + 176*x(l).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8ac0 - 173a?\nAnswer: -a41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 8. Let a = n + 8. Put 1, a, -2 in descending order.\nAnswer: a, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06090343 * 2\nAnswer: 0.12180686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 1:45 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2584, 2472, 2360, 2248, 2136, 2024?\n\"Answer: -112*a + 2696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 156, 155, 154, 153?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z = 25, z - 225 = -5*y. Suppose -j = -2*k + y, j - 2*j = -5*k + 112. What is the derivative of -d**3 + 14 + k*d**3 + 7 - 20 wrt d?\nAnswer: 63*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 197\/(-12017) + (-130)\/(-488). Factor -c*y**4 + 11\/4*y**2 + 1\/2*y**3 - 3*y - 9.\nAnswer: -(y - 3)**2*(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 12:48 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a second in microseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15.5 and -126.\nAnswer: -110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 310\/7. What is the third biggest value in 4, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k = -64*k - 168 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/21)\/((-4)\/30). Let o(u) = -8 - u - w*u**2 - 5*u + u**3 + u. Calculate o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. Suppose h = r, 0*h = 4*k + 5*h - 43. Let u be ((-2)\/(-2))\/(k\/(-2)). Which is greater: u or -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by (-14)\/105 + 184\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27294, -17837, -8380, 1077?\nAnswer: 10534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -628357\/122 + 7196\/61. Let p = 181235\/36 + f. Calculate the common denominator of (-4)\/(-6) + 199\/(-6) and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**3 + z**2 + z + 1. Let b = 53 + -54. Give h(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*b + 3*t - 784, 2*t + 8 = 0. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47151 + 0.0404125.\nAnswer: -47150.9595875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -5) + 15 + -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, 424, 1683, 3424, 5635?\nAnswer: 8304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**3\/3 + 8*b**2 - 2*b. Let h be j(13). Let d be 0\/(-1) + 0\/h. Which is bigger: d or -3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33024981 divided by -33?\nAnswer: -1000757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/7)\/(((-15)\/2)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*i**2*s + 35*i**2 + 3*i*s**2 + 54013*s**2 - 4 wrt i?\nAnswer: -58*i*s + 70*i + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 20 = -2*u, 2*z - 9 = -0*u - u. Let m(l) = -l - 32. Let n be m(-34). Let g be n\/4 + (-69)\/(-2). Solve g - 15 = -u*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3863274.\nAnswer: 2, 3, 643879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/((-300)\/54))\/(3\/(-4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 2. Let a(f) = -f - 2. Suppose 0 = -2*s + s. Let v be a(s). Let h(c) = 1 - 4 + 7*c + 3 - 5. Determine v*h(p) + 5*q(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.3767 times -52\nAnswer: 71.5884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2 + -5*(sqrt(2057) + 1) + ((-1 + sqrt(2057) + sqrt(2057) - sqrt(2057)) + -2)*4)*5)**2*4.\nAnswer: 35200*sqrt(17) + 231300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.01 + 0.01. Let g = -2.6 - p. Let o = -3 + 4. What is the biggest value in o, g, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = 5. Let f(i) be the first derivative of -15*i**2\/2 + i - 1. What is the least common multiple of f(k) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p. Suppose 2*s + 0*s = 6. Let d(q) be the second derivative of 0*q**2 + 2*q + 0 - 1\/2*q**s. Calculate d(y(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + f - 1. Let g(t) = -4*t**3 + 24*t**2 - 24*t + 24. Let k be (488\/366)\/(1\/(-18)). Determine k*w(v) - g(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5188979 to the nearest integer?\nAnswer: 2278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - c. Let l(a) = a**3 - a - 1. Suppose -3*o + 3*p = 7*p + 15, 3*o = -p - 6. Let v(w) = o*l(w) + 5*z(w). What is v(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/19 - 56*i**3\/19 - 392*i**2\/19.\nAnswer: -2*i**2*(i + 14)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 631*l - 244. Is 48 a factor of w(66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*210\/(-225).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.28 + 13.28. Let x = v - 8. Let l(j) = 2*j**3 + 4*j**2 - 46*j - 4. Let w be l(4). Which is the biggest value? (a) x (b) -1\/8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8)*6*(-1 - -3). Suppose 0*b + o*b = 30. What is the remainder when 27 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 4 + 5 + (-4 - -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/76 and 103\/44?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -4 - (-7 + -14). Let o = 36 - j. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32761\/41 - 799. Put -1\/3, 2\/3, b in descending order.\nAnswer: 2\/3, b, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(1200) - sqrt(1200)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/380 and -3\/6308.\nAnswer: 31540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 5454.63766626?\nAnswer: -5456.63766626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 7791336753.96 and -6.\nAnswer: 7791336747.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/12 and -67\/592.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 46. Let p be (-4 + -1)*i\/15. Solve 0 = -g - p*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 23 = 5*m, 148*i - 18 = 145*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9398 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.848 - 1.2. Let o = 0.052 + s. What is the nearest to 1\/5 in 3, o, -4\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/9 - -1)*3. Let l(r) = r**k + 2*r**2 - r**2. Let i(x) = 7*x**2. Give l(i(u)).\nAnswer: 98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-1)))\/s)**(-1)*(s**(-1))**17*(s*s**(-2)*s)\/(s\/s**6*s*s)*s**(-4)*((s*s*(s*s*s**(2\/3))\/s*s)\/s)\/s assuming s is positive.\nAnswer: s**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15155865 > 15155940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 7*o**2 + 5*o + 5. Let f be x(8). Let j = f - -36. Calculate the highest common factor of 51 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3561828475 to the nearest integer?\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from nuuuuuuuuuuumuumumuu.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 4 = -11*g, -2*v + 3*g + 0*g + 102 - 103 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = -2*y. Let w = -12 + y. Which is the closest to 0? (a) w (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**34*(b\/(b**(-1\/3)\/b))**(1\/19) assuming b is positive.\nAnswer: b**(-3841\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.4 (c) 15 (d) 4 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, a: 8}. What is prob of sequence aada?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 - b**4 - 6*b**4 + b + 6*b**4 - b + (30 - 30 - 7*b**2)*(3*b + 0*b - 5*b)*(6*b - 58*b + 3*b).\nAnswer: -685*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 4:12 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2052, 0.3, 2.6, 4?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*1\/(8 - (13 - 588\/119)).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -12*s**5 - 1005*s**4 + 6636*s**3 - 10236*s**2 + 2160*s = 0.\nAnswer: -90, 0, 1\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4399 + 791. What are the prime factors of t?\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 2774?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = 10*p - 204 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 597757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -17.956. Let y = z + -29.956. Let o = y + 30.2. Which is the biggest value? (a) o (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52920 and 20402280.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -1510*l + 1504*l. Solve -l*c - 4*s = -6, 0 = -3*c - 10*s + 7*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999020.\nAnswer: 2, 5, 11, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 + 3*c**2 - 2*c - 2. Let k(a) = -13*a**2 + 11*a - 5*a**3 + 11 - 10*a**3 - 3*a**2. Determine 11*j(m) + 2*k(m).\nAnswer: 3*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by 30.\nAnswer: 79\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27538 + (-8 - 2 - -7). List the prime factors of (-27)\/(-45) - (g\/(-25) + 2).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/184 and -89\/248.\nAnswer: 5704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -5*s, -326*d + 164*d + 9*s - 7*s - 25 = -159*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128 + 132. Sort 2, 3, q, 1 in descending order.\nAnswer: q, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 - (-10)\/(-15). List the prime factors of (s - -16)\/(19 - 17).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + a**2 - 3*a**2 - 4*a**2 + 7*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34157*n + 34183*n - 468 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29139 and -487.\nAnswer: -29626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34802 is divided by 177?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = b + 1, -3*k + 2*b = -k + 10. Let o(z) = -z**2 - 34*z + 435. Let n be o(-44). Sort -6, k, n, -3.\nAnswer: -6, n, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1604111, -1604118, -1604125, -1604132?\nAnswer: -1604139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 61 times 0.039\nAnswer: 2.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 8 + 10 - 4*s + 0. Let a(u) = 277*u + 12 + 278*u - 558*u. Let x(p) = -8*a(p) + 5*k(p). Let w(g) = 5*g - 7. Determine -5*w(o) + 6*x(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w - 3 = 0. Find the first derivative of 3 + 3 - 3*t**4 - 23*t**3 + 23*t**w wrt t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -104 + 4 - -132 - -54?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2210 + -1089. Let n = -506 + g. What are the prime factors of n?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7030809 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -14*o + 3. Let i(v) = -12*v + 3. Let t(m) = -3*b(m) + 4*i(m). What is t(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-4))\/(1\/2). Suppose b*c - 25 + 5 = 0. Solve l - c*l = 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-28))\/(3 - (-483)\/(-168)). Which is the fifth biggest value? (a) 1\/3 (b) t (c) 5 (d) -1\/2 (e) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463544740?\nAnswer: 2, 5, 23177237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -570 - -279. Let o = 37573529\/22 + -1708181. Let i = a - o. Calculate the common denominator of i and -83\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4 - 1 + 0 + 2*d + 5. Is 12 a factor of h(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -1\/20*x**5 + 0*x - 1\/2*x**3 + 0*x**4 + 4*x**2 + 0. Differentiate m(f) wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209586180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13794, 27587, 41380, 55173, 68966, 82759?\n\"Answer: 13793*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(7\/5)*c**25)**(7\/3) assuming c is positive.\nAnswer: c**(308\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 + 77*b + 33. Let p be w(-15). Solve 5*a - p = 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -5 - (-3 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3490673.\nAnswer: 3490673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*i + 2 - 92*i - 98*i - 95*i + 366*i.\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - z**3 - 3)*(-3 + 4 - 2)*(2313 - 108*z - 2313) in the form q*z + w*z**3 + i*z**2 + m*z**4 + v and give m.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/48)\/((-10)\/(-4)). Let n = -120 - -130.6. Let p = n - 6.6. What is the fourth biggest value in -3, q, p, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -10*j - 261. Suppose -k + 5*d - 3*d = 40, 0 = -4*k + 4*d - 148. Is 3 a factor of g(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.96, -0.3, 0.5, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29326242 is divided by 2953?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 57*7\/(-357) + 2\/17. Let w = 909 - 58175\/64. Which is smaller: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51328 and 4?\nAnswer: 51328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 12*o + 2. Let v be k(-11). Let i be (3\/v - -2)\/(-2). What is the closest to 0.1 in i, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s**3 + 13*s**2 + 38*s - 3. Let w be z(-3). What is the greatest common factor of 324 and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by ((-3025)\/(-363))\/((-1)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ooj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605.872mg to tonnes.\nAnswer: 0.000000605872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63 - (20 + -72)) + -8 + 0 + 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 3*f - 3*f)*(-24*f - 25 - 25 + 61).\nAnswer: 24*f**3 - 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6710*l + 5099*l - 135674 = 4685*l - 2567*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104b7 (base 13) in base 15?\nAnswer: 8a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 39.0042. Let o = 210.0042 - m. Let j = o + -210.00000111. What is j rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Determine x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24801 + -9652. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: aa229 (base 12) to base 10\nAnswer: 224961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3740*n**2 + 3737*n**2 - 4*n**3 - 11214*n**2 + 3737*n**2.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1022878*x**4 + 2*x**3 - 61345327*x**2 wrt x?\nAnswer: 24549072*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:03 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 + -299. What is the nearest to 1 in y, 0, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*n + 12. Let o = 34 - 14. Suppose 5*p - 4*q = -n, q = -3*p - 3*q - o. Put p, 1, -3 in decreasing order.\nAnswer: 1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 259*r**4\/24 + 149*r**3\/2 - 558*r**2. Differentiate z(b) wrt b.\nAnswer: 259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2378 = 21*y + 2336. Factor 7\/3*b + 0*b**2 - y - 1\/3*b**3.\nAnswer: -(b - 2)*(b - 1)*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + u - 1. Let f(k) = -18*k**3 - 2*k**2 + 3*k. Let z(p) = f(p) - r(p). What is the remainder when 30 is divided by z(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 37 + 32. Let x(n) = -n**2 - 22*n + 17. Let l be x(o). Let s(p) = -p**3 - 6*p**2 + 5. Give s(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -42*m + 3. Is j(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 1 + 1)*(-4 + 2 + 1) + 3 - j - 3 - 4*j + j + 0*j + (-j + 3*j + 4*j)*(-53 + 16 + 2) to the form h + z*j and give z.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -15)*73\/219\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2660*r + 2660*r - 219420*r**2 - 8937*r**2.\nAnswer: -228357*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-20) - (-18)\/10. Let p(c) be the second derivative of -z*c + 1\/70*c**5 + 0*c**3 + 0*c**6 + 0*c**4 - 1\/147*c**7 + 0 + 0*c**2. Factor p(h).\nAnswer: -2*h**3*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 46, -0.1, 5, -0.4, 3\/10, -5?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -296.2015 to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -83*v**5\/20 + v**4\/6 - 55*v**2\/2 - 49*v. Differentiate s(a) wrt a.\nAnswer: -249*a**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14055959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 + 4. Let f = k - 0.4. Let h = 0.2 - f. Round h to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 6 + (13 - 2) + (-10 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**2 + 15*f**4 - 3*f**2 - 7*f**2 - f**2 wrt f.\nAnswer: 360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82502187137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 22 = -5*y, -41 = q - y - 35 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172146830 to the power of 1\/3, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408)*1*-2 - (1*(sqrt(1408) + sqrt(1408)*1) - sqrt(1408)))\/((sqrt(275) + 1*sqrt(275))*3*5).\nAnswer: -4*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.003 in -942, -0.03, -1, -0.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:05 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1) + 2 + -1. Suppose 0 = 4*v - 19 - 41. Suppose -v*s + 18*s = 15. Solve 4*h = 2*d + 4, 1 + 1 = -s*d + b*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 85.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2759 take away -0.7?\nAnswer: 2759.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) 0.4 (c) -7 (d) 38843\/5 (e) -5 (f) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1759 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 2 - 6*v**2 + 3*v - 6*v**2 + 17*v**2. Suppose -33 = -5*c - 3*f + 5*f, c = -4*f - 11. What is the remainder when m(c) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(36)\/sqrt(3)*4) + -1.\nAnswer: -1 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -424051 and 647?\nAnswer: 424698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 3}. What is prob of picking 1 s and 1 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 5054?\nAnswer: -5054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 892229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-7)\/j))\/j**(3\/10))**45 assuming j is positive.\nAnswer: j**(783\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5807.9917 + 5857.991918. Let x = 50 - l. Round x to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 644 - 599. Suppose -76 = -g + 5*i, -5*g + 49*i + 401 = h*i. Calculate the highest common divisor of g and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 30*g**2 + 29*g**2 - 64*g**2. Let p(h) be the second derivative of h**3\/3 + h. Give p(n(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3102 + -12349\/4. Let u = -122007 - -10249111\/84. Let q = 91\/12 - u. Find the common denominator of h and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, v: 5, o: 3, n: 1, m: 1}. What is prob of sequence zonv?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - f + 1. Let g(i) = -7*i**3 - 4*i + 2. Suppose -28*u - 1263 - 2349 = 0. Let m = u + 133. Calculate m*k(q) - g(q).\nAnswer: 3*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 756924*q**4 + 56*q**2 - 14?\nAnswer: 18166176*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(1\/2))\/(i*i\/i**10*i)*((i*i**(-25))\/i)\/i**0)**16 assuming i is positive.\nAnswer: i**(-248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266700 is divided by 467?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1134 and 594.\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Let t be ((-1)\/3)\/(-1 - 5\/15). Let l = -17.4 - -17.8. Which is the smallest value? (a) l (b) 1 (c) t (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 15 = -5*j, -3*j + 5*j + 11 = 3*v. Suppose 0 = 5*y - 2*o - 22, 14 - 1 = 2*y - v*o. Solve -y*b + 4 = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00800986906 to 7 dps.\nAnswer: -0.0080099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1510\/13 - -116. Let r = -3\/34 + -19\/170. Which is the nearest to 0.1? (a) r (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - z + 1. Let o = 128 - 78. Let a(n) = -15*n**2 + 10*n - 10. Let l(w) = o*b(w) + 5*a(w). Let g(f) = -2*f**2. Determine g(l(t)).\nAnswer: -1250*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 + 1602*p**2 = 0.\nAnswer: -534, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlxlxxlxxlxlx. Give prob of sequence lx.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104131 and 154631.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52125996 + 52125996 - 28*v**3.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 77*g - 78*g, g + 15 = 17*h - 21*h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**4 + 5*q**3 - 4*q**2 + 4*q - 4. Let b(i) = 0 - 2*i**4 - 4*i**3 - 7*i**3 + 2 + 9*i**2 - 9*i + 7. Let r(z) = 4*b(z) + 9*x(z). Factor r(o).\nAnswer: o**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/37)\/y)\/y**2)\/(y**10*y*(y*y**(-13)\/y)\/y) assuming y is positive.\nAnswer: y**(-1\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 393 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02617401755 to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, 1 t, and 1 n when four letters picked without replacement from {c: 1, t: 2, j: 1, n: 1, e: 1, f: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 - 28*n - 108. Calculate the remainder when p(-7) is divided by 381.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4 - 4 - 3*v + 2. Let a be j(-6). What are the prime factors of 100\/a - 4\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**3 + 7*x**3 - 12*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/134320 and 51\/671600.\nAnswer: 671600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/1 + 14\/8. Sort v, 10, 0.3.\nAnswer: v, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and ((-8)\/(-3))\/4*99225\/350?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b027 (base 13) to base 7\nAnswer: -1263616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 0.08 (c) 0.3 (d) -0.5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/4 + v**4\/4 + 313*v**3\/2 + 156*v**2 = 0.\nAnswer: -24, -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -185\/6. Calculate the common denominator of m and -63\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 + u. Let t be x(-1). Suppose b = 4*b + 15. Suppose 3623*p + 148 = 3660*p. Sort b, -1, t, p in descending order.\nAnswer: p, t, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -11049 and -11040 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4071*s - 108802. Calculate y(26).\nAnswer: -2956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -4 - -2) + -1. Let o(d) = d + 38. Is 11 a factor of o(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from nnnnsnnnnsnnnnsnsnnn?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 1, 5, 0.3, 3084, -0.4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2, -31693, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 7. Let s be g(4). Suppose -10 - 14 = -s*o. Suppose 3*w + 3*r = 2*r + 6, 0 = 3*w - 4*r - 6. Solve -w*t = -o + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 143.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -119583.05 times -19?\nAnswer: 2272077.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/12 - 4*d**3\/3 + d**2\/2 - d. Let n be z(8). Let a(f) = 3*f**2 - 2*f + 1. Calculate a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -780415380 divided by -6\nAnswer: 130069230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*c + 195*c = 320. Sort 6, c, -3, -47 in descending order.\nAnswer: 6, c, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -166, 0, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**7\/105 + 31*m**5\/30 - 5*m**4\/2 - 2*m**2 - 370*m. Let o(b) = 0. Calculate b.\nAnswer: -6, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/2 + 90\/(-20))*-12. Find the third derivative of 272*n**5 - 132*n**5 + 0*n**6 + n**i - 113*n**5 + 39*n**2 wrt n.\nAnswer: 120*n**3 + 1620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen eighths of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcg when three letters picked without replacement from cgccgggccgcccccc.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 6) in base 3?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 10*x**2 - 3 + x + 12*x**2. Suppose -10 = d + 4*d, 5 = -m - d. Let p be i(m). Solve 5*k - 27 = -4*b - p, 14 = 5*k + 2*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfffriifrirfirff. Give prob of sequence ri.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22864 = u + 3*u. Suppose 884 = 3*a - u. Suppose d = -d - a. What is d rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 9*w - 9. Let q(t) = t**3 + 6*t**2 - 4. Let g be q(-6). Determine m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 51.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757165.\nAnswer: 5, 151433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 818284430 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: What is -11000000110011111111111 (base 2) in base 16?\nAnswer: -6067ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 288866 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2635 is divided by 1247?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 - 3*a + 7*a**3 + a**3 + 3*a**2 - 7*a**3 + 7*a as z*a + h*a**4 + j*a**2 + b*a**3 + r and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 551248 and 18576.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16557 = 519*b + 36772 - 17723 + 15775 for b.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 110404425 (base 7) to base 12\nAnswer: 2290633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2, 0.31, 693, -12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h**2 - 25*h**2 - 3*h**3 - 1 + 41*h**2 + 6*h as b*h + q*h**2 + o + x*h**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2034219 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/3 - 30238*v\/3 = 0. What is v?\nAnswer: 0, 15119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + 1 - (-1313 - 3)?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 8*l + 15 = 4*k, -k + 3*l - 6 = 0. Suppose 3*m - 6860 = -5*a - 0*a, -k*m = 0. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13110213 - 1003?\nAnswer: -13111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h - 2*g - 34, -3*g + 239 = 2*h + 240 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 11. Let k(s) = 15 - 35*s - s**3 - 4*s**2 + 62*s - 30*s - 2. Is k(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 - 131.1. What is the closest to 0 in j, 0.2, 4, -41\/26?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14521.4 + -14493.40006. Let d = -4126 + 4154. Let z = f - d. Round z to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -312.9 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120021110 - 4?\nAnswer: -120021114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5932.4 + 6965. Let x = -1033 + q. Let s = -1 + 2. What is the closest to 0 in s, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aauayffgua. Give prob of sequence fua.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 57\/18 - (-4)\/(-24). What is the second biggest value in -4, j, 10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33558340 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q - 11545 = -35*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19199 is divided by 115?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 7\/73951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2791\/10 + -279. Which is the nearest to 0.1? (a) -0.3 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(17) - (sqrt(17) + sqrt(51)\/(sqrt(3)*-2))**2)*-5 + (3*-1*sqrt(204))\/(sqrt(12) - (-2*sqrt(12)*-2 - sqrt(12))).\nAnswer: 85\/4 + 53*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2497 - 7?\nAnswer: 2490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*l**4 - 50*b*l**3 - 17*b*l**2 + 147*b*l - 3*l**5 wrt l?\nAnswer: 24*b*l - 300*b - 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5\/3)\/((-2)\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 8) to base 3\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3124 - -4?\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -181, -8, 1 in descending order.\nAnswer: 1, -8, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2387.2+20\nAnswer: -2367.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77519*i**3 + 283*i**5 - 2042*i - 77519*i**3 - i**2 wrt i.\nAnswer: 5660*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Let q(m) = m - 4. Let c be q(6). Let f = 4 - c. Solve v + t = -3*t - 22, 0 = y*v - f*t - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -10 - (7 + -16 - -9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31922 divided by 368\nAnswer: 15961\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5423 divided by -135\nAnswer: 5423\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 58*p**2 - 15*p - 6. Determine y(-3).\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812596 is divided by 1382.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 - 41*y - 25. Let n be v(-13). Let x = -61 + 81. Let o be 42\/(0 + n - x\/80). What is the highest common divisor of o and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42994)\/(-73815) + (-120)\/380.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -19 - (-23 + (21 - 21)). Let i = 4 + -1. Solve o - b*c = 14 - i, o + 25 = -5*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2. Let p(x) = -11*x**2 + 30. What is n(p(h))?\nAnswer: 242*h**4 - 1320*h**2 + 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 133545 to the power of 1\/2, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**7\/840 - i**6\/120 - i**5\/60 - 10*i**3\/3 + 4. Let w(f) be the third derivative of c(f). Suppose w(t) = 0. Calculate t.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175561*g**2 - 542946066*g - 419783480649 = 0. Calculate g.\nAnswer: -647907\/419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + 6. What is the least common multiple of n and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-1425)*1)\/((-15)\/150)\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*w - 17, -113*q + 117*q - 14 = -2*w. Which is the nearest to 1? (a) 4 (b) 4\/5 (c) -0.4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 - 16*h**3 - 5*h**3.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2069 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(-2*m + 7*m + 0*m) + 2*m + 8*m - 9*m in the form y*m + h and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m = -5*l - 25*m + 250, -2*l = -3*m - 102. Let x = -197 + 212. What is the remainder when l is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*1\/10*-2*1. List the prime factors of 0 + q*1 + -14 + 30.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95544 is divided by 15914?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 2:20 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 22*y**2 + 50*y - 55. What is the tens digit of s(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = 0, -3*p = -4*z - 10 - 12. Let t(w) = w**2 + 3*w - 38. Let g be t(-7). Let v = z - g. Are 20\/7 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4*l + 184 + 180, 0 = -5*f - 2*l + 462. Let c = -65 + f. Solve 8 - c = 4*g - j, 0 = 3*g - 4*j + 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2 - 7*n + 24. Suppose 252*o = 33 + 975. Determine t(o).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 105?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i - 1. Let q be (2 - 1)\/(2\/2). Let l be (-5)\/10 - q\/2. What is the units digit of t(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035588?\nAnswer: 2, 3, 211, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1 (b) 418 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 c, and 1 n when four letters picked without replacement from mmnmmllcclnlmmmm.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -33205?\nAnswer: -9961.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3314010 and 315.\nAnswer: 9942030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r**2*s**3 - 2*r**2 + 3326*r*s**2 - 5543*r with respect to s.\nAnswer: -12*r**2*s**2 + 6652*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3889048 millilitres in litres?\nAnswer: 0.0003889048","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2364180 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 124384, 248767, 373150, 497533, 621916, 746299?\n\"Answer: 124383*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 20*z - 2522. What is t(126)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5432476 = 4*l, 4*l - 3211072 - 2221404 = -p. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 16*m - 170. Give k(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581550 is divided by 591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 122773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 11*g - 6. Let c be a(10). Let v(i) = -26*i + 2*i**2 - 6 + c + 54*i - 3*i**2. List the prime factors of v(10).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.14, 2\/25, -2\/13?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let s(h) be the second derivative of -h**3 + 5*h**2\/2 + 2*h. Let i(p) = 15*p - 12. Let l(f) = 5*i(f) + 12*s(f). Calculate l(w(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s + 3. Let n(g) = 5*g**2 - 3*g**2 + g**3 - 5 - 3*g**2. Calculate the remainder when n(4) is divided by y(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.546401 + -0.205329. Let c = 0.00936 - w. Let d = c + -1.76. What is d rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 816529?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/1)\/(1*7\/28*-4). Let i(s) be the second derivative of -s**2 + m - 1\/12*s**4 + 1\/6*s**3 + 16*s. Give i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318, -322, -326, -330?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10385*k + 84491. Give g(-8).\nAnswer: 1411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16760, -16757, -16754, -16751, -16748, -16745?\n\"Answer: 3*g - 16763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75 + -1232c?\nAnswer: -123a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 5*r - 3*r + 2*r + 3*r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 4*y**2 + 6*y + 5. Let u be i(-2). Is (0\/(-3) + u)*(9 - 6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32681519 - 0.035.\nAnswer: 32681518.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. Let o = 5.2 - s. Let f = 7358 + -7353. Which is the second smallest value? (a) 0.4 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 6*c - 7. What is m(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303248, -303255, -303262?\nAnswer: -303269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/120 + 7*l**5\/30 + l**4\/12 - 17*l**3\/3 - 9*l**2 - 36*l. Give j(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -286c?\nAnswer: -286c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.97723 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 2*a)*((a + 2*a - 2*a)*(13*a**2 - 19*a**2 - 20*a**2) + (a + 0*a - 3*a)*(8*a**2 + 6*a - 6*a) - 4*a**3 + 4*a**3 - 2*a**3).\nAnswer: -88*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w = 18. Let a = w - 5. List the prime factors of ((-10 - 2)*a)\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3810551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*2)\/sqrt(9) + 4 + ((5 + (sqrt(2)*-1 - sqrt(2)))*-4)**2.\nAnswer: -318*sqrt(2) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -165310?\nAnswer: -165306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -13. Suppose 20 = -4*f, x*y = 2*f - 4*f - 5. Factor 24*u**2 + u + 2*u + 6*u + y + 16*u**3.\nAnswer: (u + 1)*(4*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1559*o**2*q**2 + o**2*q + o*q**2 + 2*o*q + 14*q**2 + 13*q + 33 wrt q?\nAnswer: 3118*o**2 + 2*o + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 72\/5 of a meter?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -i, -315*o + 314*o = 28*i - 85 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 7*h**2 + 9*h - 10. Let s = -20 + 28. Let p be y(s). Do -4 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 126\/18 + 2 + 1 + -7. Solve -q*m + 5*x = 19, 2*m - x + 12 = 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -145*w**2 + 10*w + 4. Let h(u) = -50*u**2 + 3*u + 1. Determine -2*a(l) + 7*h(l).\nAnswer: -60*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10 - l + 2*l - 6*l + 15. Let p(h) = -1. Let i(o) = 2*p(o) + r(o). Let k be i(-12). Calculate the highest common factor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -912329, -1824639, -2736945, -3649247?\n\"Answer: 2*w**2 - 912316*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2078*o + 72751. Give d(35).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 120? (a) 5\/2 (b) 1 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95.5 - -96. Put 0.3, 4, -0.5, q in ascending order.\nAnswer: -0.5, 0.3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -2*t + 1\/6*t**3 + 0 - 7\/2*t**2. Let l(b) = -b + 4. Suppose 117*p = p - 4*p - 480. What is p*u(o) - 7*l(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-140)\/(-160) - (-2)\/16. Is 189\/(-6)*(g + (-10)\/6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2417 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -80650986 divided by -2\nAnswer: 40325493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0.06, 15, 129 in ascending order.\nAnswer: -2\/13, 0.06, 15, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -11*h**4\/4 + 2*h**3\/3 - 3*h**2\/2 + h - 27. Give q(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 101. Suppose -4*s = -z*p + 84, 4*p - 2*s - 18 = 58. Calculate the greatest common factor of p and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 + -8 - 3) - (-1 + -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Let v be 4\/(-8)*(12 - 6). Let n be (v\/3)\/(4\/(-20)). What is the greatest common divisor of n and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 3. Suppose -6 - 10 = -4*v. Let z(i) be the third derivative of 3*i**4\/8 - 5*i**3\/6 - 9*i**2. What is v*z(b) - 7*g(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 748, 1511, 2288, 3085, 3908?\n\"Answer: v**3 + v**2 + 753*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1504, 1\/3, 0.02?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from {u: 3, b: 1, k: 1, p: 4, d: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -2.9. Let a = 3 - f. Sort -0.1, a, -0.3 in increasing order.\nAnswer: -0.3, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 173 = -12. Solve z*w + 57 = 78 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 250 + -71. Suppose -7*p + 2*p + h = 3*j, 3*p = 5*j + 121. Let c = -28 + p. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17228 is divided by 1322.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 15*m = -4*m - 89820. List the prime factors of m.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2866, -5723, -8580, -11437, -14294, -17151?\n\"Answer: -2857*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 - -2.14. Put 6, -0.5, d in descending order.\nAnswer: 6, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.154 minus 38335.2?\nAnswer: -38334.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**3\/6 - b**2\/2 - 3*b. Let l be c(4). Suppose -4*o = l*h - 2017, -2*h + 0*o + 1348 = 2*o. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319855?\nAnswer: 5, 17, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2577368 is divided by 847?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791 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: Multiply 1.9 and 34488.\nAnswer: 65527.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76094693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 16. What is the third derivative of 6*t**3 - 18*t**3 + 12*t**u + 4*t**3 wrt t?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/15 + (-1283279)\/1370685.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 2) + 1 + 2 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -48. Suppose 8 = t + s. Let m(z) = z**3 + 3*z**2 - 2*z + 2. Determine m(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 1.3, -0.19, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 34*m - 3 = 36*m, 3*x - 3*m = -6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 1)*(-d + 0*d + 2*d)*(4 - 5 + 2).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 183801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000021492 rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 11 = -1. Let s(n) = 6. Let h(d) = d - 102. Let b(f) = j*h(f) - 102*s(f). Let l(x) = -30 + 15*x + 38 - 11*x - 6*x - 8. Calculate l(b(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-1)\/(-21)*-4*(-7)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3429 + -1992. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1900550990 - 1529917024 = 129*y - 2973046034. What is y rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/(11\/(-11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.63 * -27280.\nAnswer: 17186.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 16474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1928 + 1.183. What is l rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwsststovswtvsvxvv. What is prob of sequence ov?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121 + 111101?\nAnswer: 21210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 718*h + 149356. Give k(-208).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 210126*a**2 - 11037603564*a - 66233186136.\nAnswer: -(a - 105066)**2*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 1. Let z(h) be the third derivative of -h**4\/24 + 5*h**3\/6 + 8*h**2. Let c be z(5). Let v(d) = -5*d + 0 + c + 1. What is 5*v(q) + 6*w(q)?\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 81876.37 + -25.78085\nAnswer: 81850.58915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -924162747, -924162746, -924162745, -924162744, -924162743?\nAnswer: -924162742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15428666.00018 + -15428802. Let a = 136 + s. Round a to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(216)*-1)\/sqrt(6))\/(sqrt(108)\/(sqrt(9) - 1*sqrt(900)))*1.\nAnswer: 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - 28e?\nAnswer: -27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-33)\/255 - (-4)\/34\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*(5 + 3). Let q be 3\/6*z - -15. List the prime factors of (-12)\/((-16)\/(-4)) + q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 52*n**3 - 7*n**2 - 8*n - 8. Let j(k) = -17*k**3 + 2*k**2 + 3*k + 3. Determine -8*j(d) - 3*s(d).\nAnswer: -20*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -933*f*q**3*t**3 - 3*f*q**3 - 4*f*q**2*t + q**3 - 15*q**2*t**2 wrt t.\nAnswer: -5598*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/((-18)\/42)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, 2, 182835?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 = 4*p, 0 = 6*p - 11*p - 5. Solve 0*a - f = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -309 greater than -0.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 - k)*(-6 + 1 + 4) + (1 - 5 + 2)*(0*k + 2*k - k) - 2 - 2*k + 2.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 - 7571*x\/4.\nAnswer: -x*(x + 7571)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4942355?\nAnswer: 5, 11, 23, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h - 79*h + 142 = -16 - 490 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1008 + -0.0508. Suppose -2*h + 4*j = 3*h + 1, -3*h + 2*j - 1 = 0. Which is the third smallest value? (a) g (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/12)\/(231\/28)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 651 and 788613.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, 1533, 3163?\nAnswer: 4793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(2*sqrt(11) - sqrt(11))*4.\nAnswer: -4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/(x*x*(x**(-7\/5)*x)\/x))\/(x**(-2))**16 assuming x is positive.\nAnswer: x**(309\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 i, and 1 p when three letters picked without replacement from {p: 1, e: 4, w: 5, i: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4843 or -0.15?\nAnswer: -4843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 10*d + 10. Let o be c(12). Let f(r) = -r**3 - 15*r**2 - 14*r + 3. Let t be f(o). Put 7, 4, t, -5 in ascending order.\nAnswer: -5, t, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214337*v = -214182*v + 1705 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**5)\/j**(2\/7))**(-34\/3)\/((j**(-6)\/j)\/(j\/(((j**(-5)\/j)\/j)\/j))*(((j\/j**(-4))\/j)\/j)\/(j*j**4*j)) assuming j is positive.\nAnswer: j**(473\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15241142 (base 7) in base 5?\nAnswer: -333033203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 114*m + 24. Let d be n(4). Suppose -d = -11*o + o. Let j be (431250\/(-4))\/(o\/(-1024)). What is j rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20044757?\nAnswer: 233, 86029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 6*q**2 + 21. Let m be y(0). Let o be 3\/(m\/(-14) + 3). Suppose -3*u + 7 = -5. Solve -o*c + u*c + 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -495071, -990146, -1485221, -1980296, -2475371, -2970446?\n\"Answer: -495075*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -13, -11, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -3*u - 2 - 6, -u = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/((1\/(-3))\/((-45)\/6345))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -1)*(-6 + (-91)\/(-21)). Suppose -3*i - 4*r + 97 = 0, -12*r + 185 = f*i - 10*r. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4. Is h < 5\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 5*s**2 - 5*s + 8. Let f be b(6). Let g be 24\/14 - (-4)\/f. What are the prime factors of (28\/8)\/(g\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 209, 473, 853, 1355, 1985, 2749, 3653?\nAnswer: 4703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*z = -23486, 111*u - 117478 = 106*u + 2*z. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*u + 4 = -j, 0 = u + 2*j - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*d**2 + 3046 + 3053 - 6099.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10\/3)*d\/(d\/(d\/((d**26\/d*d)\/d))))\/(d**(-9\/2)\/d**(2\/71)) assuming d is positive.\nAnswer: d**(-9715\/426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1305 is divided by 210.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20493, -40984, -61475, -81966, -102457, -122948?\n\"Answer: -20491*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 5*808\/(-440)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3508479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -234, -478, -744, -1044, -1390, -1794?\n\"Answer: -2*m**3 + m**2 - 233*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2804000 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 116359860.\nAnswer: 1047238740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13522, -27538, -41556, -55576, -69598, -83622?\nAnswer: -97648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 2 + 0 - (-21 + 25). Let s = 3.8 + 0.4. Let o = s - -0.8. Which is the closest to 0.1? (a) o (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-58)\/(-18) + 6\/(-27). Suppose -y + 3 = -k, -2*y + l = -5*k - 0. What are the prime factors of (13 - 3)\/(k + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d + 58547 - 121180 = 207067. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 13. Solve d - 6*d - o = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7698*q**2. Let g(t) = t. Give g(s(l)).\nAnswer: 7698*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**8\/168 - 13*o**7\/105 + o**4\/12 + 2*o**3\/3 + 11*o**2 + 2. Find the second derivative of z(q) wrt q.\nAnswer: -40*q**3 - 312*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3671285 by 3.\nAnswer: -3671285\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/391 and 54\/31742281.\nAnswer: 730072463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3570 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100100010010 - 101011010001011?\nAnswer: -110101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o = -2*o - 161. Solve -r + 0*q - o = q, 4*q + 13 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 5*s + 5. Let j = 3 + s. Let r = 13 + j. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -15*l + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 t, and 1 b when three letters picked without replacement from {b: 1, d: 5, g: 2, t: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-2)*3\/(-2). Suppose 0 = -2*t + 7 - 3. Let h(y) = g*y**2 - 3*y**2 - y**t. Let a(s) = -s. Calculate h(a(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -394, -889, -1548, -2377, -3382?\n\"Answer: -c**3 - 76*c**2 - 260*c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/32)\/(((-270)\/(-4))\/(-15)))\/((-363)\/198).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 13*x - 18*x - 7, 13 = -3*x - v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/3 - 36*w**2 - 1186*w\/3 - 880 = 0. Calculate w.\nAnswer: -40, -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-1 - -24 - (-264 + 251)) - -2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1701 greater than 12.999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9553?\nAnswer: 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11506?\nAnswer: 2, 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 110952113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-8)\/(-40)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + (-1 + sqrt(208))**2)*6.\nAnswer: -24*sqrt(13) + 1254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 747 + 1557. Suppose 0 = -2*h - s + p, -h + 4*s = 3*h - 4596. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 800*-7\nAnswer: -5600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -943318*b**5 - 302749*b wrt b.\nAnswer: -18866360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1560310 and 41\/4.\nAnswer: 3120620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2633 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6116 is divided by 62?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, e: 2, b: 2}. Give prob of sequence eb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -b + 25, -m + 11 = 4*b - 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -213 + 217. Let t be (18\/48)\/(3\/4)*6. Solve -m + 4*s + 7 = c*m, -t*m = -s - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 1*sqrt(68)*2)\/(sqrt(4) - -2*sqrt(100)))**2.\nAnswer: 153\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = 15*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 3*w - 2*w - 5*w + 3*w - 221 = -0*w, 0 = p + w - 29 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a - 6*a - 6*a - 2*a - 5*a. Let u(g) = -59*g. Give u(f(r)).\nAnswer: 1475*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 4*o**2 - 2*o + 5. Let m(t) = 5*t**2 + 8*t - 16. Let i be m(2). Suppose 10*c - 6*c = i. What is n(c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5334634819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2853000 rounded to the nearest 10000?\nAnswer: 2850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.575 * 0.1.\nAnswer: -0.6575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 27*s - 2. Determine w(-29).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 42*d**2 - 9*d + 8. Let j be h(6). Let f be ((-26081)\/18 - 28\/126) + 5. Let u = j + f. What is the common denominator of u and 53\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {a: 2, e: 1, m: 1, j: 4, v: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(18) - sqrt(18))**2 + 2 - (sqrt(18) + -2 + sqrt(18))*5) + 4.\nAnswer: -30*sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.1 from -0.077.\nAnswer: -1.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 1, -1, 26 in ascending order.\nAnswer: -3, -1, 1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5746038618?\nAnswer: 2, 3, 23, 41637961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*g - 191*g = -5090 + 388 - 4570 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9841 + 118105\/12. Let x(y) be the second derivative of -9\/10*y**5 + 0*y**3 + 3*y - k*y**4 + 0 + 0*y**2. What is the third derivative of x(m) wrt m?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + 5 + -17 + -2?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 (base 12) in base 7?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/21*(-28)\/49*-7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {w: 2, f: 5, t: 3, x: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3370*f*m**3 + 2*f*m**2 + 1723*f*m*x - 2*f*x**3 - 11*m**3*x**3 - 17*m**2*x**3 + m*x wrt m.\nAnswer: 20220*f - 66*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 0*m - 1\/2*m**2 + 2. Let p(t) be the second derivative of -t**3\/2 + t. What is p(b(w))?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**3 - f**2 + 4*f + 10. Let b(y) = -6*y**3 - 4*y - 9. Let c(h) = -6*b(h) - 5*g(h). Let t be c(-4). Is (-57)\/t*16\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*j**2 - 25*j**2 - 32*j**2)*(5*j**2 - j**2 - 3*j**2).\nAnswer: -34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*m = -1620, 4*h = 7*h - 5*m - 974. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10 + (2\/(-9) - 38611320\/(-1080))?\nAnswer: 11, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**3 - c**3 + c**3)*(3 - 15 - 5) + (-3 + c**3 + 3)*(-1 + 2 - 2) to the form a*c + o*c**2 + j + l*c**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 10*m - 62 + 6*m**2 - 1\/3*m**3. Determine i(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156083 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11289545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13465 a factor of 2845525620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210*b**3*r + 2*b**2*r + 2*b**2 - 82*r wrt b.\nAnswer: -1260*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 30*c + 73. Calculate x(28).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9\/4)*x\/(x\/(x*x**22)))**(-41) assuming x is positive.\nAnswer: x**(-3403\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -15.3, -6\/7, 2\/25, -4?\nAnswer: -15.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 6:48 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 569.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 749232 a multiple of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/((p*p**11*p)\/p)))*p)\/p**0 assuming p is positive.\nAnswer: p**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*n + 18 = -17, 3*q + n = 10. Let a(l) = -2 - q*l**2 + 5*l**3 + l - 6*l**3 + 3. Let d = 23 + -28. Calculate a(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uaaffufauufu. Give prob of picking 3 u and 1 a.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 173 + -141. Let v = z + -31.72. Let b = 1 - 0. Is v >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 13*o + 26. Let x be s(-11). Solve 9*p + 20 = x*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 0. Let m be (-3)\/g + (-1)\/(-2). Solve -1\/4*y**4 + m - 1\/4*y**5 + 0*y + 1\/4*y**3 + 1\/4*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -3*d**4\/16 + 279*d**3\/4 - 57105*d**2\/8 - 178929*d\/4 + 8026. Factor a(y).\nAnswer: -3*(y - 141)**2*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 6:29 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -362*f**4*g + 3*f**3*g**2 - 184*g**2 - 25 with respect to f.\nAnswer: -1448*f**3*g + 9*f**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24527 - 19730. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + g + 18, -2*d + d + g = -6. Suppose 0 = -u + 3*u. Let x = d + u. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -256, 3.13, -0.2 in descending order.\nAnswer: 3.13, -0.2, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1573) + -3)**2 + 4.\nAnswer: -66*sqrt(13) + 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 3*q - 20. What is the smallest common multiple of (-4)\/(-10) - (4\/10 + q) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 27 = -4*l + 15 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 5*t**8\/48 + 61*t**5\/60 - 124*t**2. Find the third derivative of r(l) wrt l.\nAnswer: 2100*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 58 = 20. Suppose 31 = -a + l. What is the nearest to -1 in 2, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 - 7*l**2 - 3*l + 6. Let z be v(-4). Calculate the greatest common divisor of z and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62376755.\nAnswer: 5, 7, 47, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3527*i**3 - 1 - 5*i**4 - 49*i**2 - 3529*i**3 + 3*i**4 + 6*i**2 as r*i**3 + p*i**2 + o + h*i + b*i**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 3. Let x be v(-3). Solve -5*u - 15 = -x*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8336967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + 30 - -3) + (3 - 13 - (-2 - 0))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 134d1b7?\nAnswer: 134d1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axxaxxxxxxxxxxxxaax. Give prob of picking 1 a and 3 x.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 42 = -4*t, 3*t + 4*m + 16 = t. Suppose -557 - 1738 = -45*n. Let v be n\/t + (-5)\/(-20). Which is bigger: v or -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4551077 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 781264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus -13?\nAnswer: 13.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30160807 > 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118259398 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 - 27*g to o + f*g and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 3*v + 39*f - 41*f, v = -f + 13 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/120 + 4*h**5\/15 + 17*h**4\/24 + 5*h**3\/6 - 5*h**2. Let r be b(17). Sort r, 1, -3 in descending order.\nAnswer: r, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34437829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83121749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1092\/16)\/21 + (-3)\/1. Let z be 4\/6*(-12)\/8. What is the nearest to z in m, -3, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 3:23 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 14*x**2 + 30*x - 29. Let p be g(-16). Solve -5*s + 2*o = -5, 8 = -o + p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2852*z - 100568 - 56897 = 807*z for z.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 17 - 17 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 7 = -u - 2, 20 = 5*m + 4*u. Put 5, -4, m, 3 in decreasing order.\nAnswer: 5, 3, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -2*t**2 + 3 + t**2 + 19. Let p(w) = w. What is p(s(o))?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 9\/11*v**3 - 196\/11*v + 31 - 84\/11*v**2 - 1\/44*v**4. Let k(h) = 0. Calculate h.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 76 = 44. Which is the biggest value? (a) -6 (b) 2\/9 (c) k (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151138?\nAnswer: 2, 13, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 407534*i**2*u - 4616041*i**2 - 5*u**2 with respect to u.\nAnswer: 407534*i**2 - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from kkppkcpkppp?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 2. Let o be (-4)\/(-5)*r*-5. Let b(f) = f + 8. Let m be b(-5). Solve 0 = 5*w - 3*c - 8, o*w = 3*w + m*c - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (44\/198)\/(4*(-44)\/(-256)) and -23\/75?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*d - 4 - 55 - 7 + 15 wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(0*f + 5*f - 3*f) + 0 + 0 - 2*f - f + f + 2*f - 2*f - 4*f + 4*f + (-1 - 1 + 0)*(2 - f - 2) + f + 1 - 1.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 72?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 7*s**2 - s - 23. Let u be w(10). Let q = u + -263. Solve 3*r = -4*d + 7, 4*r = -2*d - 0 - q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 6:25 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 56\/1032 + 19)\/((-76)\/(-24) + -2)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*b**2 - 22*b**2 + 30*b**2.\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = -11*r, -53*s + 57*s + 1 = 3*r. Put -865, 5, s in decreasing order.\nAnswer: 5, s, -865","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 3*m + 12. Solve -16 + m = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/13 - 4\/13*c**2 - 2\/13*c**3 + 8\/13*c.\nAnswer: -2*(c - 2)*(c + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2) + 1)*-1)**2*1.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1922, 1935, 1912, 1835, 1686?\nAnswer: 1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 309906991 to the power of 1\/3, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1052)\/(-7) + (-16)\/56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 - 193*v - 8. Let f(g) = -3*g**2 - 189*g - 10. What is 5*f(n) - 6*k(n)?\nAnswer: 3*n**2 + 213*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0663 + 13894.820235?\nAnswer: 13894.753935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 37845394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(325) + (sqrt(156) + sqrt(156) + (sqrt(156) - 1*sqrt(156)) + sqrt(156))\/sqrt(12) + sqrt(130)\/sqrt(90) + 5 + sqrt(104)\/sqrt(8))*6.\nAnswer: 30 + 86*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 382885 and 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7146973882 to the nearest integer?\nAnswer: 1926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = 0, 3*k - 13 = -4*f + 13. Let b be (6\/(-4))\/(f\/64). Calculate the remainder when 36 is divided by 46\/4 + b\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99184?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3500255 (base 7) to base 11\nAnswer: -279462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 4:24 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 2*f - 1, -3*p + f = 4*f - 0*f + 15 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + 190\/114 + -2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, 623.98, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14759273 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5018906, 10037768, 15056630, 20075492?\nAnswer: 25094354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/52*-1 - (-138)\/117. Let 4\/3*j**4 + 2\/3*j**5 - 2\/3*j + 0*j**3 - c*j**2 + 0 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14830 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 41. What is the least common multiple of b and (-69)\/(-6) - 2\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 1069*y**5\/60 + 3*y**4\/8 + 107*y**3\/6 + 1520*y**2. Find the second derivative of x(a) wrt a.\nAnswer: 2138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*j - 122*j = 5*k - 21, -4*j + 28 = 11*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -1\/6 (b) 90 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/320 and -117\/99040.\nAnswer: 198080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in -93, 9, 0, 6?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012 > 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (217\/(16492\/152))\/((-7)\/(-364))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -5042.\nAnswer: -5041.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 22*x + 2. Give y(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*g + 178, -2*g + 3*g + 35 = -a. Let r = -32 - a. Suppose -r*x + x - 4*l = -144, x = -4*l + 32. Calculate the highest common factor of x and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3810055.421 to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t - 1. Let x be g(-2). Let w(y) = 1. Let h(q) = -3*q - 5. Let r(d) = -h(d) - 6*w(d). Let f be r(1). Solve s + x = f*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 955389, -1\/4 in decreasing order.\nAnswer: 955389, 5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 3. Let n = y + -1.1. Let r = 220 - 1546\/7. Is r less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8283618)\/(-64260) + -129 - -2*2\/68?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1076 + -3?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.1 (c) -3\/2 (d) -9.605\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 1. Let h(w) = -2*w**3 + 5*w**2 - 5. Suppose -6*l + l = -25. What is l*i(n) + h(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*q = 69*q + 3. What is the units digit of 107*(6 - 5 - q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2737 = 5*x - 3*z, -18*z = -2*x - 16*z + 1098. Let o = 545 - x. Solve 5*i - 21 = 4, o = -5*b + i + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - -2120113202112?\nAnswer: 2120113202203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6 - -5) + (9 - (-9 + 17)) + 24?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 507b77?\nAnswer: -507b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 divided by 32?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7617 + 588?\nAnswer: -7018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*((-1848)\/(-637))\/(-22)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1767ff - -8b?\nAnswer: -176774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*x**5 - 240*x**5 + 399*x - 1593*x**5 wrt x.\nAnswer: -36260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24 + -26)\/(4\/24))\/(-38).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*t - 280 = -165*t. Let n be 2\/(1\/(7\/t)). Let s = 2\/33 + 20\/33. What is the second biggest value in s, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -22. Let s = 43 - b. Let k = -6 + s. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*m + j + 2*j, 0 = -3*m + 2*j + 19. Suppose 1200 = 5*y + 5*u, 2*y - 2*u = -0*u + 500. Suppose m*z + 5*k = 153, -k + 6*k - y = -5*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -122*l**3 - 10*l**2 - 7*l - 3209. Let y(v) = -182*v**3 - 16*v**2 - 11*v - 4813. Let q(t) = -8*g(t) + 5*y(t). Differentiate q(h) with respect to h.\nAnswer: 198*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 4*x - 4*p + 22, x = -3*p + 14. Let o be 1\/(1*(-6)\/(42\/7)). Put 41, x, 2, o in ascending order.\nAnswer: o, 2, x, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1809 times -3254?\nAnswer: 5886486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0)\/(1\/(-5)). Let l = 10 - t. Suppose -l*k = -70 - 0. Calculate the remainder when 40 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/21353860 and -68\/5338465?\nAnswer: 21353860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = h - v - 40, -4*h + 125 = 5*v. Calculate the highest common divisor of 70 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o - 5*o + 279 = -6*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6 = -18*t + 15*t, 2*t = 2*z - 4. Let i(n) = 3*n + 9. Let r be i(t). Sort r, 1, -2.\nAnswer: -2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 3) + (-1)\/1*-1. Sort -1, h, 13 in descending order.\nAnswer: 13, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3) + -4)**2 - 2*sqrt(68).\nAnswer: -12*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/((-115)\/(-23)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6745 is divided by 806.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, p: 6, l: 1, j: 7}. Give prob of picking 2 q, 1 p, and 1 j.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*g + 2546 + 10990 = -1502*g - 705*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-20))\/((-2)\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 20*j**2 + 19*j - 18. Let x = -502 - -488. Is 22 a factor of b(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0. Let g = -120.5 + 120.9. Sort -18\/5, p, g in ascending order.\nAnswer: -18\/5, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4082355 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, v: 6, d: 1, u: 2, n: 4}. Give prob of sequence vuvu.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -59680188 divided by -19893396\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.12228 times -395\nAnswer: -48.3006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.198 - -7.3. Let t = v + 6.798. Let z = -7 + t. Which is greater: -16 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2023 (base 4) to base 12.\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3 + 3)\/(-4))\/(-2). Suppose x = -4*r + 3 + 5. Let q(k) = 8*k**3 - 2*k**2 - k. Let b be q(r). Calculate the greatest common divisor of 36 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -102 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 10:43 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1))**46)**(-4\/7)*(j*j\/(j\/(j\/(j\/(j*j\/(j**(-1\/16)*j)))))*j\/(j*j*(j**(-1\/7)*j*j)\/j*j))**(-2\/131) assuming j is positive.\nAnswer: j**(-385575\/7336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 618129, 6, 4 in decreasing order.\nAnswer: 618129, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 440.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 + 18*a**3 - 36*a**3 - 2*a**3.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-10))*v)**(-1\/15) assuming v is positive.\nAnswer: v**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -8. Suppose -b*i - 205 = -m, -3*i - 10 = -4*m + 805. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15317831.9363 and -2?\nAnswer: 15317833.9363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 10*r**5 + 1152*r**4 + 138818*r**3\/5 + 23868*r**2\/5 - 87208*r\/5 + 22032\/5 = 0.\nAnswer: -81, -34, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 10 = -8*z + 7*z, -2*z + 12 = -2*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/484344 and 43\/7162.\nAnswer: 1734435864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45380 divided by 11?\nAnswer: 45380\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.166612 years?\nAnswer: 0.08166612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12301, 24480, 36659, 48838, 61017, 73196?\nAnswer: 85375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*d**3 + 168*d**3 + 154*d**3 + 163*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, s: 2, f: 1, e: 1, m: 2}. Give prob of sequence fse.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 36. Suppose -38 = -10*p + n. Let i(s) = 214*s - 3. Is i(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1359042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 y, 1 q, and 1 s when four letters picked without replacement from swwsyiquq?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 5*f. Let m be l(-3). Let n = m - -7. Let d = 5 - 3. Solve 0 = 4*x - d*c - 3 + n, 0 = c - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3275258517 rounded to the nearest one hundred thousand?\nAnswer: 3275300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.8 + -10. Let d = -7897.5 - -7897. Sort d, x, 1\/6.\nAnswer: x, d, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 28*z - 60. Let m be p(-30). Suppose -449*t + 456*t - 7126 = m. List the prime factors of t.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-6) - (-5)\/15. Let f(n) = 4*n**2 - n - 7. Let q(b) = 2*b**2 - b - 4. Determine z*q(k) + 3*f(k).\nAnswer: 2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -170978713 * 2.\nAnswer: -341957426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w**2 + 2*w - 3. Let x be r(2). Let b = x + 109. What is the units digit of ((-6)\/(-18))\/(2\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 1 + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2252 divided by -16.\nAnswer: -563\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 3 - (-274)\/2. List the prime factors of (x\/14)\/(12\/42).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w + 5. Let c be j(5). Let n = 32 + c. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/7 + 48*m\/7 - 46\/7 = 0. What is m?\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*k = 141*k - 27085 - 2777 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3251 by -15670.\nAnswer: 3251\/15670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 453378 or 453456?\nAnswer: 453378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**5 + 8165*q**4 + 1391*q**3 + 27517438*q**2?\nAnswer: -60*q**2 + 195960*q + 8346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -5. Calculate the common denominator of (2\/3)\/((-80)\/(-186)) and (-2)\/(-2) + 98\/q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) - 35\/21. Let l be 2\/((-2)\/(-6)*-2). Which is the closest to z? (a) 4 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201101 - 0?\nAnswer: -201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581911811.\nAnswer: 3, 175767979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -197, -443, -645, -683, -437, 213, 1387?\n\"Answer: 20*h**3 - 98*h**2 - 92*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 16*c**2 - 108*c - 41. What is the smallest common multiple of b(-21) and 74?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*s - 5*s**3 - 449*s + 894*s.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v. Let w(d) = -5*d**2 + 138*d + 11. Give c(w(p)).\nAnswer: -20*p**2 + 552*p + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281984?\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10309123 to the nearest integer?\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -149*s + 1. Is g(-1) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-7)*o**(-1\/6))\/((o*o**(-1\/4))\/o**(-4)) assuming o is positive.\nAnswer: o**(-131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6340 divide 120941840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 8*k**2 + 6*k + 6. Let l(x) be the first derivative of 47 + 1\/3*x**3 + x + 1\/2*x**2. Give b(z) - 6*l(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*d**2 - 42 + 42.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36037564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/7)*(b*b*b**(2\/39))\/b*(b*b**(-12))**(-1\/63) assuming b is positive.\nAnswer: b**(110\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(847) + -5 - sqrt(847))*-3)**2 + 1.\nAnswer: -1980*sqrt(7) + 30718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 260. Let u(o) = 32*o**2 - 45*o - 27. Let t(p) = 7*p**2 - 10*p - 6. Let r(s) = 9*t(s) - 2*u(s). Give r(q(k)).\nAnswer: -k**4 + 520*k**2 - 67600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -187, -166?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -134230030200?\nAnswer: 134230030201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q**1*q*q)\/((q\/(q\/(q\/(q*q*q\/q**(3\/4)))))\/q*q*q*q**(2\/15)*q*q) assuming q is positive.\nAnswer: q**(7\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1317312 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-42) + 74\/(-84))\/(298\/(-1043))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.76518 centuries in decades?\nAnswer: 407.6518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + r**2 - 1 + 5*r + 0 - r**2 + 57*r**3 to h + w*r**2 + i*r**3 + d*r and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/(-3))\/((-1)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2016483092.936 - 2?\nAnswer: -2016483094.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -3*g + 3*l, -366*g - 4*l + 50 = -356*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -7*t**5\/30 + t**2. Let w(l) = -2*l. Calculate u(w(f)).\nAnswer: -56*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 7*z**2 + 17*z - 306. Let v be r(9). Solve 3*b + v*b = -96 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/2)\/(8\/(-400)). Calculate the common denominator of -91\/20 and (19\/(-2))\/(1*y).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -178128, -178121, -178110, -178095, -178076, -178053, -178026?\n\"Answer: 2*j**2 + j - 178131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28000000 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57861 by 2143.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.07, 5\/14, -4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -920*d**2 + 284330*d - 15444. Give z(309).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2583*h - 2585*h = 8, -2*i = -7*h - 23 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 2544*i**2 - 5082*i**2 + 2538*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13431 (base 7) to base 11\nAnswer: -2817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 6) in base 12?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1180*w + 346*w - 221*w + 502*w.\nAnswer: 1807*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2700776?\nAnswer: 2, 13, 25969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w**2 + 21*w + 64. Let m be l(-10). Let d = m - -1063. Let h = 109 - 41. What is the highest common divisor of d and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/18 and -19\/2300.\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 + 3 + 0 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00692 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:19 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 42*v**5\/5 - 587*v**3\/6 - 42*v**2 - 3. Differentiate n(l) with respect to l.\nAnswer: 1008*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i, -v - 4*i + 7 = 1. Suppose 0*z - v*z + 20 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.56 and -1866255135.\nAnswer: -1866255127.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 1 - 1)*(-3*p**2 + 0*p**2 - p**2) - p**3 - 5*p**3 + p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95271.57 litres to millilitres.\nAnswer: 95271570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-33)*(-20)\/((-80)\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 30 = -p. Let c(u) = -4*u - 2. Let t(y) = 12*y + 6. Let a(x) = 11*c(x) + 4*t(x). Does 10 divide a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 39*b**2.\nAnswer: 39*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273033 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142 a factor of 46595884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*h - 2*h. Suppose -u + h - 1 = 0. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136941 is divided by 229.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -38*p + 12*p - 57 - 49*p - 3*p. Does 17 divide y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30026 = -4*y + 4*m + 27650, 0 = 4*y - 5*m - 57678. List the prime factors of y.\nAnswer: 13, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3. Let o = -3 - -4. Let h = o + w. What is the third smallest value in 0.4, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -264*h**3 - 576*h - 2*h**2 - 1877*h - 1 - 271*h**3 - 261*h**3 + 795*h**3 to i*h + m + s*h**3 + y*h**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -3, 5, 1 in increasing order.\nAnswer: -3, 1, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(-22) + (-16)\/88. Factor -2\/7 - 6\/7*n**3 - v*n**2 - 10\/7*n.\nAnswer: -2*(n + 1)**2*(3*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1876 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 350.18+0\nAnswer: 350.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 95866225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*s = 11, -2*o + 0*s = 5*s + 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 39) + (1148 - 1109 - (29 + 0)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63241.76l to millilitres.\nAnswer: 63241760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d**2 - 2*d - 34. Let j be h(0). Let g = 18 + j. Let x be (g\/(-24))\/(1\/3). Solve 0 = x*k - 3*z + 5*z + 4, k = 4*z + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 690225089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**3 - 5 - 15*k**3 + 5.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65*u - 482 + 482)*(2*u - 2*u + u) to z + b*u + a*u**2 and give a.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/6)\/4 + -3. Let i(c) = 71*c**2 - 10*c - 29. What is the hundreds digit of i(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(3\/10)*n*n)\/n*n\/(n\/n**(-3\/11)*n))\/((n\/(n**29\/n))\/(n**(-14\/5)\/n)) assuming n is positive.\nAnswer: n**(555\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49.2 in -0.3, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*j - 23738 = -74*j. Is j a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/3 - 13*f**3\/3 + 50*f**2\/3 - 32*f\/3 - 32 = 0. What is f?\nAnswer: -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (87 - 76) + (-1)\/(-2)*6. Calculate the highest common divisor of 1232 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Suppose -3*p - u*b = -2*b - 29, -4*p + 5*b = -64. Let i = 20 - p. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -228 (b) 0.4 (c) -2\/11 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 384894 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*k = -37*k - 103236. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 661?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2765169 is divided by 9405?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 5*i**2 + 3*i + 1. Calculate l(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8218440 by -2739480.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2 + 329548*x - 13575235538 = 0?\nAnswer: 82387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89368*n**2 - 229 - 89369*n**2 + 229.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -148.3315 to zero dps.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2038254, 4076508, 6114750, 8152974, 10191174, 12229344?\nAnswer: 14267478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-16)*-2 - (-85)\/136?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53*w - 57*w - 17*w - 14*w - 28*w)*(-5 - 6*w + 5) to f*w + u + q*w**2 and give q.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18644 divided by -4661?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874 = 107*w - 326 + 415 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1749206539.\nAnswer: 571, 3063409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 767.674.\nAnswer: 19191.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 = 5*h - 1, 2*m - 2 = -4*h. Let t be 0*(m + 0)\/(-2). Suppose 0 = -4*d - 4*f + 24, -1 = -3*d + f + 1. Solve t*b = d*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217.24 plus -3?\nAnswer: 214.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**2 + i + 3. Let f be g(4). Let m be ((-51)\/f)\/(4\/14). Let w = -1.9 - 0.1. Is w bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262681143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*w - 4232 - 7368 = 0 for w.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -74\/27?\nAnswer: -74\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 789*w - 12364. What is v(14)?\nAnswer: -1318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 112.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11*s**2 - 41. Let b(g) = 19*g**2. Give b(l(f)).\nAnswer: 2299*f**4 + 17138*f**2 + 31939","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18102*b**2 - 19 - 19428*b**2 - 19 + 10 - 4*b wrt b.\nAnswer: -2652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 893 + -407. Let r = 530 - n. What is the highest common divisor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-7)\/(-42))\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7293405, -29173633, -65640681, -116694549, -182335237?\n\"Answer: -7293410*r**2 + 2*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 11 + 5. Let a = 13.7 + -14. Sort a, -1\/7, l.\nAnswer: a, -1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67645 < 67648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 435443 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/11*(-506)\/(-322)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*z + 116, 0 = 20*z - 19*z - 3. Solve -i = -21*g - 34 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248\/(-30)*15\/10*85\/170.\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -136467 + 0?\nAnswer: -136467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*r + 36. Let o(q) = q - 3. Suppose -4*c + 5 + 23 = 0. Let f be o(c). Solve r = -l - f*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2195 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -52155\nAnswer: -1\/52155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 8 + 3)*((0 + 2 - 3)*(0 + 0 - m**2) + 17*m**2 - 899 + m + 899).\nAnswer: -216*m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2 - 298321320*b + 11124451245817800 = 0.\nAnswer: 74580330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 25 = 4*x, 3*x - 144*c + 143*c - 24 = 0. Solve -j - x*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1409\/8 + 359\/2. What is the common denominator of (236\/(-48))\/(3\/(-12)) and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**2 + 13*x - 4. Let u(y) = 14*y**2 - 38*y + 12. Let o(c) = -11*j(c) - 4*u(c). Let n be o(4). What is the greatest common divisor of 128 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/130 - (-6)\/30) + (-42)\/(-273).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, -1, -3\/7, 9\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6218541 divided by 441?\nAnswer: 14101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**3 + 75*d**2 + 159*d + 81 = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 595013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.019 and -475456.7438196.\nAnswer: -475456.7628196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + -38 + 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6978, -6992, -7016, -7050, -7094?\n\"Answer: -5*i**2 + i - 6974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5105826 a multiple of 1177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1375427, -2750951, -4126475, -5501999, -6877523, -8253047?\nAnswer: -9628571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 15377?\nAnswer: 15376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/9)\/(-10)*2\/4*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**45*v**(-16\/5) assuming v is positive.\nAnswer: v**(209\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**2 - 97 + 97.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4*j = 2*o + 6, -o + 5*j = 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 6*w + 110. Let d be z(8). What are the prime factors of (-34923)\/(-42) + (1 - (-5)\/d)?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2864?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - -0.05. Let h = p - 1.06. Which is the second biggest value? (a) 3 (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001110 - 0?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8120 - -11763. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.5 + 26.415. Is w at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3869, -3876, -3883?\nAnswer: -3890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -bb07630?\nAnswer: -bb0762b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -40, -77, -138, -229, -356?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72*a**3 + 239*a + 41*a**3 - 22*a**3 - 7*a**3 + 71*a**3 wrt a?\nAnswer: 930*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34427, -34420, -34413?\n\"Answer: 7*p - 34434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 12:14 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -317964\/19 + 16735. Which is the second biggest value? (a) -212 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i + 6278828 = 4*s, 3*s + 3139399 = -2*i. Let a = 10296 - i. What is a rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1802015.75000059 + 1802014.27. Let a = g + 1.48. Round a to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8079.8771 to the nearest 100.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1957 + 7705*c**2 + 86*c**2 + c - 1957.\nAnswer: 7791*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(133600\/(-66844) + 2). Let i = -1523 + q. What is the common denominator of i and (-3 + 13)\/((-24)\/10)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**7\/168 - q**5\/120 - q**4\/24 + 8*q**3\/3 - 9. Let y(j) be the third derivative of k(j). Give y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1248 divided by -4.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2. Let t(p) = 3*p + 173. Give t(d(q)).\nAnswer: 3*q**2 + 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1084*q**4 + 37*q**2 - 4 wrt q?\nAnswer: 26016*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*sqrt(128)*-3)**2)*3.\nAnswer: 3462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**5\/2 + 423*p**4\/2 + 10285*p**3 - 654970*p**2 - 3048780*p - 1114064 = 0. What is p?\nAnswer: -58, -4, -2\/5, 49, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 5:12 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 + -2 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/25 and 29\/16?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 220.0360393 to 0 decimal places.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-35))\/(12\/20)*-8\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 191353 - -2?\nAnswer: 191355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.43129 decades?\nAnswer: 14.3129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -917 divided by -56400?\nAnswer: 917\/56400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1.8. Let u(n) = n**3 + 8*n**2 + 10*n - 3. Let g be u(-7). Let z be ((-2)\/(-3))\/(56\/g). Which is the biggest value? (a) z (b) -3\/8 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 728630 and 490?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 250398437?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from {e: 2, b: 5, f: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n - 20. Determine j(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33.65 + -3.65. Round x to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -u - p, -3*u - 7*p = -3*p + 28 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976727.\nAnswer: 976727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4264*s**2 + 7798*s**2 - 4415*s**2 - s + 1 + (1 + 2*s - 1)*(2 + 4*s + 0*s + s) in the form r*s + c*s**2 + f and give c.\nAnswer: -871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l + 1 + 61*l + 13*l**2 - 22*l**2 as n*l**2 + w*l + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 147*z = -100*z - 2439 - 4611 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37168205, 74336408, 111504611, 148672814?\n\"Answer: 37168203*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*-8*1624\/112.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14340466.\nAnswer: 2, 7, 1024319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*r = -2, -2*k + 2*r = -4*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6)*(-3 + 6). Let n be 0\/(-4) + (-1)\/l. Suppose -x + 5 = -n. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p - 3*p**2 + 3 + 2 - p**2 + 3*p**2. Let y be c(-5). Solve -5*z + y*l - 10 = -50, z + 4*l + 17 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*a**3*v**2*z**2 - 26*a**2*v**2*z + 3*v**2*z**2 - 2*v**2 - v*z**2 wrt a.\nAnswer: -156*v**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 6*t - 72 = 0, 5*m + 5*t + 101 = 161. Suppose 2*x - 11 - 1 = 0. Put x, -1, 2, m in descending order.\nAnswer: x, 2, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.5 (b) 0.2 (c) -0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7\/q*q*q\/q**3*(q\/((q**(-1)*q)\/q))**(-11\/7)*(q\/q**2)**(-17)*(q\/(q*q*q**2))**(9\/8) assuming q is positive.\nAnswer: q**(867\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4509082 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 - 4 = 0. Let r(m) = -4*m**2 + 3*m - 2. Let p(b) = 2*b + 5 - 4*b - 4 + 2*b**2. Let t = -52 + 49. Calculate n*p(w) + t*r(w).\nAnswer: 2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010111011110110111 - 0?\nAnswer: -10010010111011110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 6. Let f(x) = -23 - 210*x - 172*x + 454*x. What is the units digit of f(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53557 = -3*p - 2*v - 0*v, 2*p - 4*v = 35710. What are the prime factors of p?\nAnswer: 3, 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.024 (b) 0.109 (c) 0.164 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-6)\/(-8)*1). Suppose -y = z*w + 12, -3*y - 5*w + w - 20 = 0. Let t = 6 + y. What is the highest common divisor of 14 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*2862\/15. Calculate the common denominator of -53\/168 and -4 + 2 - (4 + l\/(-66)).\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -811140, -3244724, -7300698, -12979062, -20279816, -29202960?\nAnswer: -39748494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 54?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 - -0.084. What is x rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*u = -18797, -16*b + 94003 = -11*b + 3*u. What is b rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/3)*b*b*b*b*b**(-1\/3)*(b\/b**(1\/3))\/(b\/((b*b**(-3))\/b*b)*b))**(-2\/19) assuming b is positive.\nAnswer: b**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1486935*d - 889807.\nAnswer: 1486935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 14 + 2. Suppose 2*q - 60 = 2*s, 4*q - 112 + 8 = -l*s. Calculate the remainder when q is divided by (54\/(-81))\/(32\/(-30) - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*u - 28*u - 2*f - 5, -5*f - 27 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 6*q - 3*q = -7*q - 14595, 5*q = 0. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5700 and 22890250?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 10:02 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -5*b**6\/36 + 23*b**5\/30 + 5*b**4\/24 - 107*b**3\/18 + 4*b**2 + 6*b + 844. Let u(n) = 0. What is n?\nAnswer: -2, -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.86 - 2.36. What is the smallest value in k, -0.1, -39\/7?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 3*n**2 + 2*n**2 + (8*n + n - 3*n)*(3*n + n - 3*n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -447213.3 to the nearest 1000.\nAnswer: -447000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.259027665 + 7.259. Round f to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164624 divided by 16?\nAnswer: 10289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*j + 14, -2997*u - j + 60 = -3000*u + 13 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-6)*(-10)\/3. Let b(r) be the third derivative of -r**5\/60 + 5*r**4\/24 - r**3\/2 + 26*r**2. Calculate b(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22234602381 + -22233413631.9977. Let h = w - 1188803. Let s = -54 - h. Round s to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3669921, 7339841, 11009761, 14679681, 18349601, 22019521?\n\"Answer: 3669920*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2732, -10702, -23562, -40970, -62584, -88062, -117062?\n\"Answer: 57*q**3 - 2787*q**2 - 8*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 6*g**4 - 58*g**3 - 1940*g**2 + 11504*g + 49920 = 0.\nAnswer: -16, -3, 26\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 789678 divided by 20781?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -495a8 (base 14) to base 10\nAnswer: -179488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 12*y**2 + 44*y - 7. Give u(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0276 + -0.3276. Which is the second biggest value? (a) 1 (b) x (c) 0.1 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.763 + 0.037. Let l = w + 36.2. Let d = l + -44.7. What is the third biggest value in -5, -0.4, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30a + -57?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.022 or 7998511?\nAnswer: 7998511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -800992267*m**3 + 485143120*m wrt m.\nAnswer: -4805953602*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/2 + 231*a**2 + 3939*a\/2 + 1740.\nAnswer: 3*(a + 1)*(a + 8)*(a + 145)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551 = c + 5*q, 0 = -2*c - 0*q - 3*q + 1137. Let d be c\/(-15) - (-3)\/(-5). Let h = d - -87. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 63176*t + 25.\nAnswer: -63176*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*l**3 + 11525720*l**2 - 738018744905*l + 820006598450.\nAnswer: -5*(l - 128063)**2*(9*l - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 198 + -198.000099. Round l to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (1 - (0 - 4)) + -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - t - 2*t - 91 = 0, -3*h - 5*t - 285 = 0. Calculate the remainder when 196 is divided by (-12*15\/h)\/((-2)\/(-20)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5480490 and 3408?\nAnswer: 43843920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -176.1112 + -6.7818. Let f = 183 + b. Round f to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j - 22043 - 17*j + 13*j + 22041.\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -15*t + 27. Give l(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 + 80. Let p = -199 + s. What is the highest common factor of 160 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 333 and 594?\nAnswer: 21978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 12 = -6*i. Suppose 0 = -i*p - 2*g, -5*p - 4*g = -0*g. Suppose -a + 191 = -x - 396, p = a + 2*x - 587. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14 + 0.14. What is the second smallest value in -1\/5, q, 2\/17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4448865 is divided by 556096.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 4*p**2 - p. Let l(x) = x**2 - 7*x - 94. Let z be l(-7). Calculate n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283528812 divided by -70882203.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1093, -1, 4, -5, -395, -4.\nAnswer: -395, -5, -4, -1, 4, 1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560*v**3 - 10 + 1 - 280*v**3 - 15 - 276*v**3.\nAnswer: 4*v**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 724, 728, 732, 736?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-3\/11)\/q))\/(q\/((q**(-3\/4)*q)\/q)*q))\/(q**7*q**5) assuming q is positive.\nAnswer: q**(-549\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*(-85)\/68.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -186 - 4e?\nAnswer: -1d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1042 - 20787\/20. Calculate the common denominator of t and -121\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -402*h + 553*h - 334*h in the form q*h + b and give q.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7539, -15078, -22617, -30156, -37695?\n\"Answer: -7539*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001462 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/4 - 2439*r**2\/2 - 660969*r - 119415066.\nAnswer: -3*(r + 542)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/9, 0.5, -303, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(78)\/sqrt(6)*-4 + -1*sqrt(13)*-2 + -4)**2.\nAnswer: 36*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 11321*i**3 + 6*i**2 + 168*i - 943. Is l(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-24866.\nAnswer: 4973.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30997, -31433, -32623, -34945, -38777, -44497?\nAnswer: -52483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*a - 1)*(2589 + 14066 + 4371 + 4478).\nAnswer: -51008*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35074848097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 572265 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(348\/(-120))\/29.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.066820794 to 4 dps.\nAnswer: -0.0668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 944 = -3056. Suppose 0 = 44*d - 50*d + q. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46529383\/9 + 5174998. Let j = -10383 + 15444. Let u = j - o. Calculate the common denominator of -44\/9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 7*f - 6. Let d be q(9). Solve -3*o + d - 27 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -3)*0 - -10. Suppose w*n - 1158 = 4*n. Suppose -3*s - 19 = -n. What is the remainder when s is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/2 + 86*w**3\/3 - 467*w**2 + 850*w + 8467. Determine g, given that m(g) = 0.\nAnswer: 1, 17, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2341, 710, -2009, -5816, -10711, -16694?\nAnswer: -23765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -174354*k**3 + 6*k**2 - 5977289 wrt k?\nAnswer: -523062*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -14.3. Let t = o - 1.6. Which is the closest to t? (a) 0.5 (b) 3\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from pppwpiipxpapxpw.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -557900 + 978087. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -204042*g**3*i - 41533*g**3 with respect to i.\nAnswer: -204042*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*3 - sqrt(3))*6.\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 837715019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 5, -2, -1 in descending order.\nAnswer: 25, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -42*t + 3316. Calculate x(81).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.05 - -17.95. Let u = -30 + 27. Which is the second biggest value? (a) -0.5 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 3*b + 1)*(-4313 - 2431 + 4507).\nAnswer: -4474*b - 2237","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j + 168 = 0. Suppose -8 = -2*z + 22. Let t = -11 + z. What is the smallest common multiple of t and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 842 + -825. Solve 0 = 5*s - 12 + c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*l = -5*h + 117*l + 45, 10 = -2*l. Solve 2*f + 11 = -h*n, 9 = -2*f - f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2. Let b(z) = 272028*z. Give x(b(t)).\nAnswer: -221997698352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -11578662?\nAnswer: 11578656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -3\/5 (c) 3\/2 (d) 259 (e) -0.11 (f) -0.4 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32297 - -32298. Sort t, -7, -0.086, -2\/9.\nAnswer: -7, -2\/9, -0.086, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18.1, -13206, 2\/15, -0.3, -1 in descending order.\nAnswer: 18.1, 2\/15, -0.3, -1, -13206","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {k: 13, o: 5}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 481784076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/3))**(-1\/2))**(-29))**(3\/7) assuming j is positive.\nAnswer: j**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9461*i + 9424*i + 259 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 21292920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 192298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + -3*(sqrt(33)\/sqrt(3))**2)*-5*1.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/12*(5 + -2). Let m = d + 2. Let o(s) = s**2 + 3*s - 2. Give o(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1 + 0 - 3*d**2 + 0 + d**3 - 4*d + 3. Let c be k(4). Suppose -c*f = -19 - 21. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00048829804 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f + 2. Let u be a(0). Let l(q) = 7 - 2*q**u - 5*q + 0*q**2 - 2*q**2 + 3*q**2. Let x be l(-6). Solve 6 = -2*i - 2*w, x = -3*w + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, w: 7}. What is prob of sequence qww?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) -0.27373 (c) 2\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 4*s - 6. Let l be c(3). Suppose 0 = 4*u + 25 - 9. Sort -2, l, u.\nAnswer: u, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17355416 by 26.\nAnswer: 667516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 29 (b) 90\/7 (c) 1\/3 (d) -268\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116 - 116 - 6*n)*(3 - 3 + 4).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201 + -211. Let t = 620 + -622. Which is the closest to 2? (a) 3 (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.074 in -0.5, 0.4, 9, 4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 13. Suppose -3*k - k = 0. Suppose 4 = -2*u, k = -2*i - i - 5*u + 5. Solve 2*f = d, 0 = 5*f + i*d - m - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/14 and 21\/1126?\nAnswer: 7882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s + s)*(-2*s**2 - 3*s**2 + 4*s**2) + (-5*s**2 - s**2 + 4*s**2)*(-7*s - 441 + 441) + (10 - 1 - 1)*(-3*s**3 + 0*s**3 + 0*s**3).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 86\/(-11) - -8 - (-468)\/(-33)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (33 + (0 - 44) - (-22 - -1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -0.43. Let i = -3.03 - w. Suppose 5*y - 7 = y + 5*g, g + 11 = -4*y. What is the biggest value in i, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1548 = 3*t, 2576 = -3*c + 8*c - t. Is c a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -182 + 180.872. Let q = j + 1.0193. Round q to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -38, -116, -276, -548?\nAnswer: -962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-11)\/((-22)\/2364))\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55260849?\nAnswer: 3, 7, 2631469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 10 - 5 - 7)*((-4 + 4 + w)*(4*w - 4*w + w) + 0 - w**2 + 0 - w**2 + 2*w**2 + 0*w**2 + (1 + 0 + 1)*(3*w**2 - 4*w**2 + 0*w**2)).\nAnswer: -w**3 + 22*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041821 to the power of 1\/2, to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -14*g + 117. Let v be i(8). Let d = -8 + 5. Suppose q = 4*k + 21, -3*q = -2*q - 1. Which is the nearest to 6? (a) d (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -26, 2\/37, -24, 0, -2\/15?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x - 21*x**3 + 5*x - 16*x**4 - 22*x**4 + 19*x**3 to u*x**4 + d*x**2 + q*x**3 + o*x + w and give u.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -52.9214857.\nAnswer: 47.9214857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) -5\/16 (c) -28 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 8:29 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 8. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/5))**(-8))**(8\/5) assuming d is positive.\nAnswer: d**(-192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/12 and 332\/24*(-18)\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*a = -6, -19 = -z - 5*a + 2*a. Sort 1, z, 0, -136 in decreasing order.\nAnswer: z, 1, 0, -136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/3))**26*((y**(-2\/3)\/y)\/y)**(-1\/38) assuming y is positive.\nAnswer: y**(-822\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 - 0.23. Let m = 0.08 + 4.92. Let w = -8.2 - -12.2. Which is the closest to v? (a) m (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12*m - 6. Suppose -i + 0*q = -3*q + 17, -15 = -i - 5*q. Calculate f(i).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssysyysysysyyssyys. What is prob of picking 1 s and 2 y?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -0.1 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5*g\/g**6*g*g\/(g\/g**(3\/2))*g*g\/(g\/g**(-2))*g*(g*g\/(g*g\/(g**(-2\/3)*g)*g)*g*g*(g**(1\/4)*g)\/g)**(-26) assuming g is positive.\nAnswer: g**(-116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/a*a**0)\/(a**(-5\/2)\/a**(-8))*(a**(-2\/7))**(-10)\/(a**(-1\/2)*a**2) assuming a is positive.\nAnswer: a**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 0)**2*-1 - (sqrt(3) + (sqrt(3)*-1 + -2)**2 + sqrt(3) + sqrt(3) - 3*1*sqrt(3)).\nAnswer: -439 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -13, -33, -55, -79?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/5, 22, -1\/6, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -31, -34, -45, -70, -115?\n\"Answer: -m**3 + 5*m**2 - 9*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2256 and 5\/816.\nAnswer: 38352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2056075 divided by -5.\nAnswer: 411215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 12*i - 10. List the prime factors of a(-7).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3871247 is divided by 7982.\nAnswer: 7959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 332*m**2 + 13243*m - 197. Give x(-36).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/2 (b) 0.111 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*-0.082\nAnswer: 0.01066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156617.\nAnswer: 19, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848034 to the power of 1\/2, to the nearest integer?\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97*j**2 - 63*j**2 - 405 + 310*j**2 - 4*j**3 - 51*j**2 wrt j.\nAnswer: -12*j**2 + 198*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 - 11*y**2 - 92*y + 30. Let v(a) = -a**3 - 3*a**2 - 23*a + 8. Determine -4*f(z) + 15*v(z).\nAnswer: -3*z**3 - z**2 + 23*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 + 2 + -7 + -2 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32123 is divided by 1528?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + u + 3, 25*q - 11 = 21*q - u. Suppose -3*x + 10 = 2*x + 2*h, x - 2 = 5*h. Suppose 0 = -x*t + 3 - 1. Sort -3, q, t.\nAnswer: -3, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*q - 4*q = 3529, 3*q = -3*o + 10596. List the prime factors of o.\nAnswer: 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 48 + 45*p + 14*p.\nAnswer: 59*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26765947183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 + 3*z**3 + 11*z**3 + (2 + z - 2)*(-2*z**2 + 3*z**2 + z**2).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.97 + -9. Let b = 0.848 + 0.102. Let f = b - 1.05. What is the closest to 1 in i, 4, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81874?\nAnswer: 2, 13, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 925264.6cm?\nAnswer: 9252646000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -5\/54*m**4 + 0 - 49*m - 14\/9*m**3 - 16\/9*m**2. Let r(g) = 0. Calculate g.\nAnswer: -8, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 12. Calculate the highest common divisor of f and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d - 25 = 23*d + 75 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(125) + sqrt(125))**2 - sqrt(125) - sqrt(50)\/sqrt(10)*6 - (5 + (sqrt(125) + -5*-2*sqrt(125))**2).\nAnswer: -14626 + 29*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + r**2 + r + 2. Let a be l(0). Suppose 3*u - a*u - 1 = 0. Suppose 2*x + u = 5. Solve -d - x = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 less than -6446.1?\nAnswer: -6447.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203666, 406005, 608344?\nAnswer: 810683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -284, -53, -25 in increasing order.\nAnswer: -284, -53, -25, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.11 (b) -0.3 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49051464 by 44.\nAnswer: -1114806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 178\/635353?\nAnswer: 178\/635353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 42 - 7. Let b = u - 31. Solve 2*d - b = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 at least as big as -15708\/433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 529 - 443. Let m = -15 - -20. Suppose 4*h + m*h = 207. Calculate the remainder when l is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169830*z**3 - 698045*z wrt z?\nAnswer: 1018980*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/611 bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1716271*k - 6116 = -1716132*k for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + m**2 + 2*m**2 + (m - 4*m + 4*m)*(m - 4*m + 2*m) - 5*m + 11*m - 2*m - 3*m**2 + 931*m**2 + 813*m**2 - 1635*m**2.\nAnswer: 107*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 11 - 7*n - 8 + 154*n**2.\nAnswer: 154*n**2 - 7*n - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 1\/4*a**4 + 3\/14*a**7 + 0*a**6 + 0*a**5 - 3*a + 0*a**3 + 0*a**2 + 0. What is the third derivative of z(m) wrt m?\nAnswer: 540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (1 + (-5 - -5) - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -5, 10.\nAnswer: -29, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 7.3. Suppose -4*v + g - 3*g = 26, -v - 4*g - 17 = 0. What is the closest to 1 in v, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3\/4 + 227805*y**2\/4 - 455601*y\/4 + 227799\/4 = 0.\nAnswer: 1, 75933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -161\/587 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (324\/2079)\/((-36)\/(-198))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22857463 is divided by 9165?\nAnswer: 9118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 953493 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*124418.\nAnswer: -497672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/(-18) - 10\/(-45). Suppose 0*g = g - q. Let p = g - 1. Solve 8*a - 4*a = -2*l + 18, -p*l = 2*a - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 5*n**2 - 9*n + 8. Let b be l(-7). Let v be (b\/2)\/((-4)\/(-72)). Let a = 451\/2 + v. Calculate the common denominator of a and 33.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 211\/476 - 1\/68. Suppose 4*m + q - 6*q = 19, 5*m - 3*q = 27. Let r be (-4)\/(-3) - 2\/m. Sort 4, j, r in ascending order.\nAnswer: j, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86 - 11 - 139*f**3 + 14 with respect to f.\nAnswer: -417*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {k: 1, x: 1, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a153 (base 14) in base 2?\nAnswer: 10111000111101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59.77 - -60. Let o = 1.77 + q. Let t = -0.6 - -5.6. Put -1\/3, o, t in ascending order.\nAnswer: -1\/3, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39276924?\nAnswer: 2, 3, 61, 53657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3685*l**4 + 2581 wrt l?\nAnswer: -14740*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1854)\/(-3969) + 4\/(-18) and 1\/11.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -27*k**3 + k**2 - 1. Let v be p(-1). Let z = v + -10. Solve -4*j + z = 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21 and -21 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*w - 2*m - 2*m, w = -5*m + 10. Solve 15 = -0*j + w*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*b = -74*b + 40. Differentiate -156 + 3*w**2 - b*w**2 - 2*w + 42 with respect to w.\nAnswer: -4*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z - 0. Let m be -3 + (z*-1 - -2). Let j be 2 - (-1 + 1 - m). Let p(i) = -i**3 + i**2 - 1. Let n(b) = -5*b**3 + 3*b**2 - 3. What is j*p(c) + n(c)?\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 12*x**2 + 97*x + 1305. Give m(-13).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6*j = 5*y + 40, -2*j = -5*y - 49. Sort -13, y, 3, 4 in increasing order.\nAnswer: -13, y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 587 = -5*c, -7*h + 3*h - 5*c = -781. What are the prime factors of h?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -12*q**2 - 5*q - 7. Let w(k) = -k**2 + k - 1. Let j(o) = v(o) + 5*w(o). What is the derivative of j(n) wrt n?\nAnswer: -34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -475026 or -475025?\nAnswer: -475025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4900)\/(-875) + 1024\/(-190).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -10*o**3\/3 - 55*o**2\/3 - 20*o = 0?\nAnswer: -4, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -1108270?\nAnswer: 1108277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**19*i*i**(18\/5) assuming i is positive.\nAnswer: i**(118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0493 + 4.9507. Which is the second biggest value? (a) k (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1125 - 3*f**3 + f**3 + 1212.\nAnswer: -2*f**3 + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1\/3, 0.07, -0.2.\nAnswer: -1\/3, -0.2, 0.07, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 322 in -0.2, 5, 0.4, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/4 + 2*s**4 - 15*s**3\/2 + 8*s**2 - 11*s\/4.\nAnswer: s*(s - 1)**3*(s + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/80, -4\/3, 0?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (5 - 7) - (9 - -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680205 is divided by 56597?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 10 = -4*f, -4 = -217*f + 214*f - 2*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/3*25\/(-50)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1406 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15372 is divided by 205.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*o**3 - 3*o**2 + 42*o - 27.\nAnswer: -3*(o - 1)**2*(4*o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 6*m**2 - 4*m - 1. Let i be y(5). Suppose 5*k = -25, -i*k = -v - 3*v + 124. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2118, -4229, -6350, -8481, -10622, -12773, -14934?\nAnswer: -17105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -5225955.3?\nAnswer: 2090382.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 0)*(-v + 2*v - 3*v) - 4*v + 0*v + 6*v)*(-48*v**4 - 272*v + 272*v).\nAnswer: -192*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141205\/408 + -2775\/8. Let g = 2\/17 + f. Which is the closest to g? (a) 0 (b) 4\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 401484 and 15?\nAnswer: 2007420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10*b + 14. Let n be f(6). Let a = 232\/5 + n. Calculate the common denominator of a and -67\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 703838606\/885395 + -5\/25297. Let z = 795 - q. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7516, -15042, -22588, -30160, -37764, -45406, -53092?\nAnswer: -60828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:14 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52*n**4 + 271 - 271)*(3 - 2 + 0) in the form v*n**4 + i + o*n**2 + m*n**3 + h*n and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-160)*-4*34\/153*27.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*1.8\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5238260727?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1122062*q**3*u**3 - 5257*q**2*u**2 + 25*q**2 + 2*q*u**3 wrt q.\nAnswer: 6732372*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -59 (c) -2\/11 (d) -1\/15 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(2*sqrt(2304) - sqrt(2304)))\/((-3*sqrt(88))\/sqrt(11) + sqrt(40)\/(sqrt(55)\/sqrt(11))).\nAnswer: -108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1610 = 2*w + 942. Is w greater than or equal to 335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - ((50 - 81) + 34).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.67881 and 125872802.\nAnswer: 125872793.32119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/93520 and 51\/154.\nAnswer: 1028720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -128 and 5.\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + sqrt(288))*-1 + sqrt(288) + -2*sqrt(288) + sqrt(288) + -4)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*h + 541*h + 24359 = -662*h + 4276 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - 2*r + 6*r)*(0*r**2 - r**2 + 2*r**2 + (0 + 3 - 2)*(78 - 78 + r)*(-2*r - 2*r + 5*r)) as j*r + f*r**2 + m + d*r**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1111 + -1106. What is the second smallest value in -1\/4, 7, -5, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/3*(-1764)\/(-1029). Solve -2*n - 18 = -d*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/24)\/(-2 - 1). Suppose w = 29*d - 28*d. Let h be (-3 - 8\/(-3))*-15. Solve 0 = -d*z + z + h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -22 + 11. What is the units digit of 606 + f + (0\/(-4))\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4351?\nAnswer: 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - u = -4*j + 20, 4*j + 3*u = 36. Let x be (3 - 1) + (-8)\/j. Which is the closest to 1? (a) 0.3 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19211967 by -19211967.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4548334.\nAnswer: 2, 7, 19, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let y(g) be the third derivative of -g**5\/20 - g**3 + 3*g**2. Let a(t) be the first derivative of y(t). Give a(i(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.171287 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1617, -6614, -14979, -26706, -41789, -60222, -81999?\n\"Answer: h**3 - 1690*h**2 + 66*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -1 + 4. Let w(x) = x**2 - 8*x + 9. Let a be w(4). Let b = u - a. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*x + x**4 + 38*x - 5*x**4)*(248 - 627 - 1320) in the form o + p*x**2 + h*x**4 + q*x + c*x**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 + 3. Let q(o) = -4539*o**2 - 3578*o + 21. Let i(b) = 7*p(b) - q(b). What is the second derivative of i(d) wrt d?\nAnswer: 9022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5337 + -5227. What is the lowest common multiple of 11 and j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 3375*a**2 - a + 3374*a**2 + 42. Let f be r(-8). Solve 7*n = 9*n + f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*y + 118, -11*y + 8*y = t - 21. Let o be (t\/(-36) - 218\/40) + 6. Which is the closest to 1? (a) o (b) 9\/2 (c) -1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*z - 4*z**2 - 5*z**3 - 67 + 32 + 35 + 7*z**3 as y + w*z**2 + p*z**3 + m*z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -64, -128, -216, -328, -464?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-14))\/((-5)\/35). Let y be 14\/(-8) - 1\/(-8)*2. Put s, -0.2, 5, y in ascending order.\nAnswer: y, -0.2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18885.137568 rounded to the nearest ten?\nAnswer: 18890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Suppose -10 = -3*y - 2*y. Let p(t) = -6*t. Let h(o) = y*g(o) + 2*p(o). Does 10 divide h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 8*p = -153. Let v(j) = 16*j + 33. Let n(f) = -47*f - 100. Let m(c) = p*v(c) + 6*n(c). Differentiate m(o) wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.1 - 6.2. Let u = -3.7 - q. Which is smaller: 1\/7 or u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1498544*p**2 - 130*p + 296705484 wrt p.\nAnswer: 2997088*p - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -1\/20*a**5 - 35*a + 0 + 18*a**2 - 11\/12*a**4 - 4*a**3. Suppose n(b) = 0. What is b?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223333021 - -1002?\nAnswer: -223332013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(486) - sqrt(486)*-4)*-6 - sqrt(486))\/(5*(sqrt(72) + (sqrt(72) - 1*sqrt(72)) + sqrt(72))).\nAnswer: -93*sqrt(3)\/20 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-18)*-3 - 52\/24. Let a be ((-6)\/(-12))\/(-3 - v)*-6. Let m be 4 - -15*(-1)\/a. Is 1\/27 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*((-3)\/6 - 0). Suppose -55 = -9*k + 53. Solve s*x + 0*x = -k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84290086.63999969 + 84290008.64. Let p = -78 - h. What is p rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 8. Let g = 21 + -18. Let v be (-1 - 0)*(2 - g). Sort d, v, 3 in decreasing order.\nAnswer: 3, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**3\/4 - 4395*q**2\/4 + 6579*q\/2 = 0.\nAnswer: 0, 3, 1462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*m - 10136*m**4 + 3*m**5 + 4 - 2*m**5 + 10135*m**4 + (-m**2 - m**2 - 2*m**2)*(2*m - 2*m - 3*m**3).\nAnswer: 13*m**5 - m**4 - 15*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2828, 0.122, -0.3, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 289.556 + -289. Let z = 0.55600357 - x. Round z to seven decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 10872*y + 129888.\nAnswer: 4*(y + 12)*(y + 2706)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1548642 + 1035*i**2 - 1548642)*(0 - 3*i**2 + 0).\nAnswer: -3105*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {n: 3, g: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**5\/60 - h**4\/4 - 11*h**3\/6 + 2*h**2. Let j be l(8). Suppose -32 = -5*y + 33. Solve d = 2*g, -2*g - g - j*d = -y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100418294 divided by -6\nAnswer: -50209147\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 o when three letters picked without replacement from {e: 2, l: 1, w: 1, x: 1, z: 1, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 1:55 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.7 - -30. What is the biggest value in 6, 1\/8, m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 659\/2328 or -1?\nAnswer: 659\/2328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 41. What is the common denominator of -2 + 3 - (-81)\/4 and 3*4\/y - (-5)\/10?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67)\/1072 - 1\/(240\/17).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 53*i. Let l(t) = 8*t**2. What is l(x(a))?\nAnswer: 22472*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + -3 + (-3 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0) + (13 - (7 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 379971712 a multiple of 1984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5171 or 5173?\nAnswer: 5173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720817883?\nAnswer: 79, 9124277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -68*o**3 + 5*o - 6. Determine y(1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 149 = 185. Suppose 5*g = 4*m - m - p, 2*m + 2*g - 8 = 0. Put -73, 2, m in increasing order.\nAnswer: -73, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*q + 10*q**2 - 4 - 162*q + 78*q to d*q**2 + j + l*q and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c - 17. Let d be o(-4). Let i be -7 + 2 - (d - 4). Let k be -3 + i + (-4)\/(4\/(-7)). Solve -13 = -k*h + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -848.5 + 848. Suppose 0 = -2*x + x. Suppose x*w - 4*v + 22 = 2*w, 4*v - 24 = -4*w. Which is the biggest value? (a) 2 (b) -4 (c) t (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.5 + -3.4. Let w = t + 23.8. Which is the nearest to -0.1? (a) w (b) -0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2873648 to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -435840325, -435840324, -435840323, -435840322, -435840321?\n\"Answer: d - 435840326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/8673 + -19993\/1058106. What is the common denominator of 97\/18 and w?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + w + 5 = 0, -930*b = -927*b + 2*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 10. Let o be r(8). Let g be o + (-7)\/(-4) + 1. Suppose 123 = 40*b - 37. Sort b, 1, g in decreasing order.\nAnswer: b, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 35008.\nAnswer: 1\/17504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66692 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let i be (-28)\/8 + 6\/4. Let w = -5.13 + 0.13. Which is the closest to u? (a) i (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*a + 10 = -2*a, -2*r = -4*a - 14. Let o(h) = h**2 + 6*h. Let g be o(-6). Let i be (5\/1)\/1 - 1. Solve i*y + y - r = g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1873 + 165359540487.\nAnswer: 165359540486.8127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 b, and 1 f when four letters picked without replacement from fxhhhbxfbhxfbbhir.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 5*r**2 + 5*r - 6. Let w be t(6). Let u(x) = -37*x + 1. Let o be u(1). Let j = w - o. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**2 - m + 2. Let o = -4 - -8. Let i be f(o). What are the prime factors of i\/(-18) + 2\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 6:11 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 82. Let d = 432 + -406. What is the remainder when f is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 13*v + 3.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*q, -4*q - 122 = 4*w - 106 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let w(c) = 7 + 0 - 1 - 7. Let j(h) = -5*h + 2. Let y(q) = j(q) + 3*w(q). What is 3*s(k) + y(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-5 - 0) - -3. Suppose 4070 = 5*b - 5*d, -5*b + v*d - 7*d + 4078 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + v + 2, -6*o - 34 = -3*o - 4*v. What are the prime factors of -1 + o - 26052\/(-26)?\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 932326380 to the nearest integer?\nAnswer: 30534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -101, -57, -13, 31, 75?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6748 and 57941702.\nAnswer: 115883404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-6)\/(-48)*8. Sort c, -2, 6, 0 in descending order.\nAnswer: 6, 0, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1374*c + 208840. Determine f(152).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1056*q**5 - 85*q**4 - 120669*q + 1.\nAnswer: -21120*q**3 - 1020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 2\/13, -5, -1, 234\/11 in increasing order.\nAnswer: -35, -5, -1, 2\/13, 234\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) + 20\/12. Let h(f) = f**2 + 9*f + 11. Let q be h(-8). Solve q = g + y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1800)*-1)\/((sqrt(100) + 1*sqrt(100)*-4)\/sqrt(10)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15.3 (b) -1\/4 (c) 23\/3 (d) 11 (e) 0 (f) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7655*(-24)\/(-280) + (-1)\/7.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-208)\/630)\/2 - 214\/(-1605). Is f smaller than 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2. Let a be l(4). What is the closest to -0.1 in -3, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/35*(-60)\/24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d - d + d**3 + 427*d**2 + 14*d - 451*d**2.\nAnswer: d**3 - 24*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -14*c - 36. Let a be o(-6). Let j = a - 44. What is the smallest common multiple of j and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 15. Let f be o(14). Let d be -32 - (f - -3)*(2 - 3). List the prime factors of (-6)\/10 + 36*(-18)\/d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89844\/2 + -29 + 13.\nAnswer: 2, 22453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, -189, -123, -9, 165, 411?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 32 + 92 = 24. Suppose 6*k - k - 375 = 0. Calculate the remainder when k is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 210 = 3*q, 88832*w - 88829*w = -q - 65 for q.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2\/3*l**5 + 10*l**4 + 0*l + 250\/3*l**2 - 50*l**3 + 0 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i. Let h(x) = -2*x + 1. Let b(a) = -3*h(a) - q(a). Let y(g) = 6*g - 7. Give 7*b(t) - 3*y(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 783211 - 2768021. Let f = -1984818.09951 - o. Let y = -8.1 - f. Round y to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 160\/12*6\/5. Let f be s\/56 + 26\/7. Suppose 0*b = -f*b + 192. What is b rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - -9 - 23) + 2 + (-1 - -13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/2)\/2*(-43)\/(5031\/13).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g + 90 - 2*g - 7 + 4.\nAnswer: 13*g + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11628598.\nAnswer: 2, 2129, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 5 (c) 45 (d) 2\/7 (e) 7 (f) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-672)\/480*2\/(-42)*580\/(-2784).\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26348628 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 1 - 1)*((-115 + 235 - 140)*(0 - 3 - 2)*(-2 + 1 - 1) - 1 + 1 + 2 + (-1 - 2 + 1)*(3 + 3 - 4)) to the form i + u*v and give u.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 80.\nAnswer: 79.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-21))\/(p\/p**(2\/5))*(p\/p**(-5\/4))\/p**(-6) assuming p is positive.\nAnswer: p**(593\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqhh when four letters picked without replacement from hqvoqnhx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*(v**(-2\/21)\/v)\/v)**(-3\/32) assuming v is positive.\nAnswer: v**(1\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45865386 is divided by 3715?\nAnswer: 3711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yntttspppttttpppypt. What is prob of sequence ptpn?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7168 + 10*p + 6*p + 3561 + 3553)*(0*p + 3*p - 5*p) to the form s*p + u + b*p**2 and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28291022 and 6812.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 - 59. Let a(x) = -165*x. Let r(o) = -2639*o. Let j(z) = s*a(z) - 4*r(z). Is j(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 146?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - -2. Let o = -0.8 - -1. What is the nearest to 2 in 2\/5, o, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 4:33 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 7*m + 0*m**2 + 4 - 13*m + 3*m. Let c be q(-3). Solve r = -r + c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1300) + sqrt(1300))*3 + (sqrt(1300) + (1 + sqrt(1300) - sqrt(1300))*-6)**2 + 2.\nAnswer: -60*sqrt(13) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 58, 2 in descending order.\nAnswer: 58, 8, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6697754 divided by -1?\nAnswer: 6697754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 43. Which is the second biggest value? (a) 2 (b) 5 (c) h (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 11:05 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z + 5*b - 45, 10 = 2*b. What is the third derivative of -u**2 + 0*u**z - 3*u**2 + 3*u**5 wrt u?\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*c + a**2 - 5*a*c**2 + 103*c**2 + c wrt a.\nAnswer: -4*a*c + 2*a - 5*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55275*u**5 + 213*u**2 + 67910*u - 5 wrt u?\nAnswer: -1105500*u**3 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.26, -28.639?\nAnswer: -28.639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 2\/1001349819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 7 - -16 - -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6) - 21\/(-2). Is u + 5\/(5\/3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + 0*z**2 - 2*z**2)*(-1 + 2 - 2)*(-60*z + 31*z + 11*z).\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 3. Let o(k) = 2*k - 4. Let p be o(4). Suppose 36 = -0*j + p*j. List the prime factors of c(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10577600*u**2. Let f(j) = 2*j**2. Calculate f(g(c)).\nAnswer: 223771243520000*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (93 - 93 + 6*x)*(-10*x**3 + 2*x**3 - 40*x**3) as j + u*x**3 + w*x**4 + c*x**2 + g*x and give w.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 489 - 159. Let w = -258 + g. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyd when three letters picked without replacement from dxlhhhydxxhxxy?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m - 9287 = -136*m - 144*m for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.3, -7\/3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 78*u - 26*u)*(34 - 20 - 37) - 2 + u + 0 + 4 + (3*u - 3*u - u)*(-1 + 1 - 2).\nAnswer: 2418*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*-4 - 2\/(-4). Let m = -31 - w. Let v = -0.1 + 0.1. Which is the nearest to m? (a) 0.3 (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -9, -0.229, 5?\nAnswer: -0.229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 30*q**2 + 13*q - 17. Does 13 divide p(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + v - 3*v = 371, -3*b - 385 = -5*v. Let i = -123 - b. Solve 4 = -0*n + i*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 10872*d + 5 = 10881*d, 0 = -5*y - 170*d + 160 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, 382 in increasing order.\nAnswer: -4, 16, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 183054 and 1?\nAnswer: 183054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017161826.\nAnswer: 2, 3, 197, 860543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2953961903?\nAnswer: 2953961903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/15*0)\/1. Suppose 12 = 3*g, -4*u + g + 0*g - 4 = m. Suppose 5*s + 3*f - 88 = u, 0*s + 21 = s + 4*f. Calculate the remainder when 49 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**5\/11 + 26876*m**4\/11 - 751396*m**3\/11 + 5847280*m**2\/11 - 6972186*m\/11 - 13597740\/11 = 0.\nAnswer: -1, 3, 13, 13410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3147836115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 2. Let u be q(1). Suppose -2*i = -3 - 3. Suppose 4 = i*m + 5*g, 0 = u*m - 4*m + 2*g + 8. Sort m, 2, -3 in decreasing order.\nAnswer: m, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37832695*a**2*p**4 - 211*a**2*p + 3040*a**2 - 2*a*p wrt p?\nAnswer: 453992340*a**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12550, -12300, -11870, -11254, -10446, -9440?\n\"Answer: s**3 + 84*s**2 - 9*s - 12626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -51. Let o = 22.36 - 0.36. Let d = j - o. Which is the closest to 2\/7? (a) -1.1 (b) d (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2361 rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412877 is divided by 520.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*n + 201, -2*x + 3*n + 2*n + 69 = 0. Let c(o) = -o**3 + 11*o**2 - 16*o - 6. Calculate the lowest common multiple of c(9) and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 648*d**3*m*p + 2*d**3*p - d**3 - m*p**2 - 51*p**2 wrt m.\nAnswer: 648*d**3*p - p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.025 and -961.6567.\nAnswer: 24.0414175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-50)\/6 - (-260)\/195. Suppose 3*q - 3*f = -0*f - 3, 0 = 2*f - 6. Suppose 0*x - 3 = x + b, -2*x = 4*b - q. Is v < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 4:38 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (0 - 3) - (23 - (-30 + 43)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 131000 (b) 0.2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**6\/720 - i**5\/30 - i**4\/4 - 2*i. Let b(j) be the third derivative of o(j). Determine b(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + (-1947)\/(-165) + -26)*2?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 4. Let f be s(0). Suppose -8 - 4 = -f*d. Find c, given that c + d + c**3 - 6*c**3 - 3*c**4 - c**2 - 3 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11976\/11 not equal to -1089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 588 and 7.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*b + 57 - 41. Solve -4*a - 4*p = -28, 2*a = b*p + p + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + -5 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -7*q - 13. Let p = -31\/4 + q. Let h = -2.5 - -2. Put h, -2\/7, p in descending order.\nAnswer: p, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 25*y + 3. Let r be q(0). Let d be 4\/(-6)*r*(-7 - -11). Let o(s) = s**3 + 7*s**2 - 11*s - 11. Give o(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u - 204 + 482 - 265 + 4*u**2. Let y be (6\/4)\/(2\/(-4)). Let n(v) = -5*v**2 - 8*v - 12. Let q(r) = y*n(r) - 4*l(r). Solve q(m) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 100*i + 187. Is k(-62) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - q**2 - q + 1. Let z(s) = -6*s**3 - 3*s + 8. Let t(b) = -3*f(b) + z(b). Let w(m) = 2*m**3 - 2*m**2 - 3. What is -4*t(d) - 7*w(d)?\nAnswer: -2*d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 2*w - 89. Let t be b(-12). Solve -5*i + 2*j = -t, -2*j + 9 = 2*i + i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -v - 0*k, 27 = -3*v + 3*k. Let m be (-3)\/v*2*(-12)\/(-4). Solve 4*p + m = 23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937323597.\nAnswer: 3, 7, 6376351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9084222*u**4 + 6*u + 2239602 wrt u.\nAnswer: 109010664*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 10*o**3 - 4*o**2 - 10*o + 7. Suppose 1 = -2*k + 3. Let f be k + -2 - (9 - 3). Let u(w) = 3*w**3 - w**2 - 3*w + 2. Determine f*u(s) + 2*b(s).\nAnswer: -s**3 - s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w**2 + 25*w**2 - 60*w**2 - 12*w + 16*w - 9*w.\nAnswer: -9*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m - 12*m**2 - 39*m + m**2 + 6*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 16140?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -71*l + 14. Let z be k(-1). Suppose z*m - 83*m = 424. What are the prime factors of m?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**12\/(c**(-2\/5)*c*c*c)*c\/(c*c**4*c)*c**(-9) assuming c is positive.\nAnswer: c**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g**3 + 15*g**4 - 3*g**5 - 21*g**4 + 15*g**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244101 (base 7) in base 8?\nAnswer: -127140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.03, -737, -0.49 in increasing order.\nAnswer: -737, -0.49, -0.2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 5*z**2 + 4*z**2 - 5*z**2 + 5*z**2 + 2*z**2 + (2*z - 5*z + z)*(-2*z + z + 3*z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 2*x + 11 - 3*x + 7. Give g(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 0*g - 5\/2*g**5 - 3*g**4 + 9\/2*g**3 + 0 + g**2 = 0.\nAnswer: -2, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -13, -2\/9, -2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -adb06 (base 14) in base 10?\nAnswer: -421994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0)*2\/(-2). Let v be 5 + 6\/(w + -4). Suppose v*k - 9 + 3 = 0, -5*k + 5 = -5*a. Do a and 2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -4*i - 14. Let p = i + -28. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259047.8l to millilitres.\nAnswer: 259047800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/63)\/((-7)\/(-3)). Let v = 67\/42 + g. What is the nearest to -1 in 0.1, v, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1441309 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**2\/2 + 6*h + 15. Let b be w(-6). Is (-1)\/(b + (-2)\/2122) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 = -5*k + 2*d, 3*d = -5*k + 12. Let w = 4 + -3.89. Which is the closest to k? (a) -1\/7 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15, 4, -4, -907, 6 in increasing order.\nAnswer: -907, -15, -4, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -8*m + 3*m + 30, 0 = -13*m + 21*m + 6*c - 46 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 96 = -5*k. Let j be 2\/16 + 3\/k. Suppose 0 = -4*x - 2*z + 548, 2*z + 2*z - 8 = j. Does 30 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h**3 + 4*h**3 - h**3)*(-100*h**2 - 28*h**2 + 5*h**2).\nAnswer: 1107*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2\/7 - 27\/7 = 0. Calculate m.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 680 - 750 = 4*f, 2*f + 28 = -3*l for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2770, -3, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 - -501. Let b = a - 205. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z**3 + 14*z**2 - 5*z - 8. Let o(r) = r**2 + 4*r**2 + 0 - 3 + 4*r**3 - 2*r + 0*r**3. Suppose 0 = -10*t + 9*t + 3. Determine t*w(g) - 8*o(g).\nAnswer: g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21004697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = -15. Let k be (2\/m)\/(2\/(-5)). Which is bigger: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 46*m**2 + 51*m - 272. What is o(45)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13\/5 (b) 27 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -120, -233, -360, -501?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -35405?\nAnswer: -35411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o = -3342*o - 3665*o - 174450 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 124*j**3 - 5*j**2 + 9*j - 5. Let f(t) = 125*t**3 - 4*t**2 + 7*t - 4. Determine 4*c(z) - 5*f(z).\nAnswer: -129*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7996933 is divided by 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 + 59*y**2 - 24*y**3 + 2 + 63*y**2 - 4*y - 121*y**2 as d*y**2 + m*y + w*y**3 + k and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/16)\/((-94)\/32 - -3). Is -12 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, u: 8}. Give prob of sequence uhuu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -0. Which is the nearest to 1\/3? (a) h (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 166, -0.0849, -2 in decreasing order.\nAnswer: 166, -0.0849, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Differentiate f*k**2 - 4 + 3 - 4*k**2 - 2*k**4 with respect to k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = -q + 2, 5*w = -5*q + 30. Suppose q*j = -0*j + 445. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(117) - (sqrt(117) + 0)) - sqrt(117) - (2*sqrt(117)*2 + sqrt(117))**2)*-5.\nAnswer: 15*sqrt(13) + 14625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 41*p + 20 - 8)*(0 - 1 + 2)*(4*p**2 - 2*p**2 + 0*p**2).\nAnswer: -82*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26576486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fpfffffffpfpfffffffp?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*n + 5. What is the closest to 2 in 0.5, 1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 1452*j**2 - 2*j + 1452.\nAnswer: 2*(j - 726)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 19. Let v be g(-14). Suppose i + v*q = 110, 0*q - 185 = -2*i - 3*q. Let u = -40 - -57. What is the highest common factor of i and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.8019 and -5.\nAnswer: 84.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 63. Suppose -c = -3*s - 12. Calculate the common denominator of (50\/6)\/((-4)\/s) and -16\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 292612 (b) 2\/9 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2808\/(-972))\/(30\/(-3645)*9)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*m**4 - 3905*m**3 - 85015*m**2 + 2871950*m + 723240 = 0. Calculate m.\nAnswer: -164, -49, -1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10662*n**3*r - 7153*n**3 wrt r?\nAnswer: -10662*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213 - -88. Let t = h - -261. Let k be t\/108 - 12\/9. Which is the second smallest value? (a) k (b) 0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62640289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503769 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -8*g**2 + 0*g - 1\/24*g**4 + 0 + 5\/6*g**3. What is the units digit of t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 18. Suppose 30 = k - f*x, -x - 1 = -0*x. Suppose 3*z = -2*n + 26, -2*z + 2*n + k = -2*n. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p - 0*p. Suppose -2*h + 4 = 0, -3*h + 26 = p*g - 28. Calculate the remainder when 31 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 15040.63.\nAnswer: -15038.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -3, -1\/14, -4 in decreasing order.\nAnswer: 1\/11, -1\/14, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4289 a factor of 45763630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-2)\/(-16))\/((-195)\/(-130)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*r - 70*r - 21. Suppose r = -x - 5*g, 13 = 2*x - 2*g + g. Let z be 27\/x*2*(-120)\/(-9). What is the greatest common factor of 30 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1598 divide 10613916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 13. Suppose -3*p + 108 = 5*c, 2*c + 53 = h*p - 55. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41760124?\nAnswer: 2, 7, 37, 173, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 36*u**3 + 53*u**2 - 1920*u + 4. Let t(x) = -38*x**3 - 54*x**2 + 1923*x - 5. Let c(d) = 5*q(d) + 4*t(d). Find the second derivative of c(b) wrt b.\nAnswer: 168*b + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -19. Let p(x) = -x**3 + x**2 + x - 2. Let b be p(g). List the prime factors of (15\/6)\/(-5)*b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2392 and 24?\nAnswer: 7176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2 (c) -2\/3 (d) -0.4 (e) 65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.9 - 174.9. Which is the third biggest value? (a) -2\/13 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 1. Let o be a(1). Let d be 5\/2 - 3\/6. Suppose 0 = -d*u - o*u. Solve 3*s - 6 + u = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50881 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3051*x - 6102*x = -3050*x + 5*y + 44, -x + 10 = -y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.54 - -22. Let i = m + -0.5. Let u = i + 0.039996. What is u rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w. Let t = 53 - 49. Let n be (6\/t)\/(3\/176) - 2. Let f(r) = 46*r**2 - n*r**2 + 44*r**2. Calculate j(f(q)).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 66, 55, 34, 3, -38?\n\"Answer: -5*j**2 + 4*j + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17902, -19209, -20516, -21823, -23130?\nAnswer: -24437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - g**2 + 0*g)*(-g + 3*g - 4*g) + (5*g - g - 2*g)*(g - g - 3*g**2) + 2*g**3 - 3*g**3 + 2*g**3 as r*g**3 + d*g**2 + m + h*g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 54, -54538, 5 in increasing order.\nAnswer: -54538, 5, 6, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2763 in 1\/8, -7, 3, 8\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -167, -251, -335?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 681167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 146*z - 150*z - 3, -6 = -2*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7631628?\nAnswer: 2, 3, 635969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*f + 56*f - 105*f - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 3*x + 2. Let d be j(3). Let m = d - -8. Is m smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-55)\/10)\/11)\/((-1)\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) - 21\/(-14). Let m(s) = 8*s - 6 - s**2 + 16 + a*s**2. What is the units digit of m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8087, -15974, -23861, -31748?\n\"Answer: -7887*h - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2167488*c**3 - 48466*c**2 + 2 wrt c.\nAnswer: -13004928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {k: 4, j: 1, t: 1, y: 1, z: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(8 - (3 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 5*v + 6, 0 = 3*x - v + 3*v - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -204630 - -1301?\nAnswer: -203326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b5759 (base 14) to base 16.\nAnswer: -402013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b + 180 = 772. Solve 0 = -9*v + b*v - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/205 and 22\/87179325.\nAnswer: 87179325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 466267 divided by 1\nAnswer: 466267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -12*h + 3. Let f be n(3). Let m be (-128)\/22 + 6\/f. What are the prime factors of 1*17 + (-5 - m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5183, -4, 22, 25 in ascending order.\nAnswer: -4, -1.5183, 22, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 846524, 846878, 847232, 847586?\nAnswer: 847940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-270))\/(1\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304815 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 1.66?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1100 and 2200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, g: 1, o: 3, c: 7, e: 1, x: 2}. Give prob of picking 2 a and 2 o.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -258*g + 258*g + 2*g**2 + 0*g**2. Let j(z) = -25*z**2. Give j(d(u)).\nAnswer: -100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42496.2 + -33678. Round z to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 3, g: 4, v: 4, u: 1, c: 1}. Give prob of picking 1 j and 2 z.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 0. Let z(a) = a**3 - 5*a**2 + a + 2. Calculate the smallest common multiple of v and z(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upumfprppprpfum. Give prob of sequence umfu.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oulolll. Give prob of picking 1 o and 1 l.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8\/42*22\/(11220\/357)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11788 divided by -11788.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1070, 5, 3 in increasing order.\nAnswer: -4, -3, 3, 5, 1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32528953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*o*v**3 + 12853*o*v**2 - 2*o + 2*v**3 + 4*v**2 - 33277*v wrt o.\nAnswer: 16*v**3 + 12853*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -391 + 741. Suppose 0 = b - 5*w - 104, 2*w = -5*b + b + k. What are the prime factors of b?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.6 + -10.1. What is the nearest to 2 in -0.7, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12 = 0, -w - 24 = -0*z - 2*z. Let t(r) = -136*r - 17 - 9*r**2 + 46*r + r**3 + 40*r + 41*r. Give t(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -4*p - 18. Let s be ((-1)\/5)\/(p\/76). Let m = s - -5\/13. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 15. Solve -d + x = -5*r, -d + 2*r = -r - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 31*v**4\/4 - v. Let m(a) be the second derivative of a**4\/12 - 156*a. Give m(j(h)).\nAnswer: 8649*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13263 + -9399. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 27*l - 50. Let b be a(29). What is the tens digit of -286*(28\/b - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 188.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/107985 or -1?\nAnswer: 2\/107985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (sqrt(1331)*1 + -4))*2 + ((sqrt(176)*4 - sqrt(44))\/sqrt(4)*6)**2.\nAnswer: 19412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2046421, -4, -1 in decreasing order.\nAnswer: 2046421, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(102) + 4*sqrt(102)*-2 + sqrt(102))\/(sqrt(12)\/sqrt(2)*2).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + -2*(sqrt(2448)*-1 + 0 + sqrt(2448))) + -2)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sddq when four letters picked without replacement from rddqssrsrsrrssrds?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743375732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*c**5*z**3 - 605*c**5 + c**2*z**3 - 2*c**2*z**2 - 537*c**2 - 3*c*z**2 wrt c.\nAnswer: 3840*c**2*z**3 - 36300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*p**2 + 93*p - 93*p + 2*p**3 + 172 - 118*p**2 - 94*p**2.\nAnswer: 2*p**3 + 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n. Let w = 3649.6 - 3650. Which is the second smallest value? (a) w (b) -3 (c) n (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103635 and 1475847.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36395 and 200825.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -675*a**2. Let h(q) = q**2 - 68646. Give h(k(g)).\nAnswer: 455625*g**4 - 68646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Suppose 4*f = g*w, 6 = -f - f - 2*w. Let m = 4 + f. Solve 3*r = m + 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1522*v**4 + v*y**2 + 2*y**2 - 5*y + 209 wrt v?\nAnswer: 6088*v**3 + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-85)\/44 - -2. Which is bigger: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.2 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 + 4\/(-14). Suppose -5*u = -11 - 9, -4*j + 12 = -u. Suppose q - 4 = -x + 8, -2*q - 72 = -j*x. Solve s = -f - 3*f + x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-9)\/(q\/(q\/(q*q**(-2\/25))*q))*q**(10\/9)\/(q\/q**(-2\/13)*q*q) assuming q is positive.\nAnswer: q**(-32066\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*z - 160, -2*b = 5*z - 49 + 18. Let u be (b\/20)\/(5\/125). Suppose -3*d - 2*d = -u. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19840.1 > 977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -30717.5957 to 0 decimal places.\nAnswer: -30718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240510214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 4*y**3 - 2*y**3 + 495 + 3*y + y**3.\nAnswer: -y**3 + 3*y + 495","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*s**2 + 24692 - 24692.\nAnswer: -211*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 40*g + 399. Let f be b(22). Solve 0 = -x + u + f, 0 = 5*x - x + u - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 372*k**4 + 6604*k**3 + 29272*k**2 + 22864*k - 24480 = 0?\nAnswer: -34\/3, -5, -2, 18\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -40416674 (base 8) to base 6\nAnswer: -502434112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(-2 + 1 + 3) - 26 - 26 - 29 - 1 + 2 + 1)*(h**3 + 2*h**5 - 3*h**5 + 2*h**2 + 0*h**5).\nAnswer: 81*h**5 - 81*h**3 - 162*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 0, -4, -7669, 4 in increasing order.\nAnswer: -7669, -6, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*o + 520*o - 259*o.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 290083489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 13. Let r(t) = 0*t - 8*t + 3*t - 23 + 6*t. Let v = -25 - -42. Let k be r(v). Give u(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 72199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 0*x - 3*x + 6*x - 4. Let b be y(3). Suppose 0 = 3*g - 24 - 0. Solve -2*o = 4*s + g, b*o + 0*o = -4*s - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-25)\/10)\/(-5))\/((-3)\/(-21342)). Let w = p + -1758. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115030740 divided by -132?\nAnswer: -871445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 727909381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/4)\/(((-39)\/(-286))\/(((-3600)\/(-110))\/(-6))).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 117079720, 117079716, 117079710, 117079702, 117079692?\n\"Answer: -d**2 - d + 117079722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/9 - 2\/9 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2\/13 (b) -1\/4 (c) -2\/21 (d) 2\/161\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 - 100. Suppose -10*p - 2409 = -g*p. What are the prime factors of p?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, a: 2, z: 3, q: 4, p: 3}. Give prob of sequence zpp.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.5. Let h(n) = n**2 - 27*n + 164. Let r be h(18). Which is the second biggest value? (a) -2\/5 (b) 0.3 (c) s (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 2828 = -2892. Is b a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*((d\/d**1)\/d)\/d))\/d**(-3\/11))\/(d*d\/d**(-2\/3))**(-1\/20) assuming d is positive.\nAnswer: d**(397\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t - 4*l + 17, 0 = -l + 4. Put 4, -2, 5, t in ascending order.\nAnswer: -2, t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86 and 2666.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, k: 5, g: 2, y: 1, o: 1, h: 3}. What is prob of picking 1 h, 1 p, and 2 k?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 3*t + 24. Suppose 4*r = -2*b + 544, -r + 13*b = 8*b - 147. Suppose 65 - r = -q. Calculate the remainder when q is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + ((sqrt(153) + 0)*-2)**2 + sqrt(153).\nAnswer: 6*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 6*m - 6. Let y(u) = -u**2 - 4*u + 9. Let v be y(-5). Suppose v*s = 3 - 15, t = 4*s + 70. Calculate the remainder when t is divided by a(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 365 divided by 76?\nAnswer: 365\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/400 and -73\/800.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 123 + 563 = 3*n + n for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4409368785 to the power of 1\/2, to the nearest integer?\nAnswer: 66403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1. Let q(r) = 2*r - 7. Suppose 2*p = -0*p + 4. Let t = 6 + -1. Suppose g + 4*f - 14 = p*g, 5*f = t*g - 5. Determine g*l(k) + q(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/152 and -101\/190.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-7))\/(8\/28)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 5*y + 3. Let p be r(-2). Let g(j) = -7*j - 3. What is the least common multiple of g(p) and (-10)\/(-2)*(-6)\/(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-27)*o**14*((o*o\/o**(2\/45)*o)\/o)\/o**(3\/2) assuming o is positive.\nAnswer: o**(-1129\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 647 (b) -0.31 (c) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c + 4*c**2 + 0*c**2 - 3*c**2 + 0*c + 8. Let n be o(-7). Let m be 9\/(-6)*(1 + -3). Solve i = m*i + n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, -3\/11, 5, -1, 56?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -10, -2, 0, -237, 3, -3 in descending order.\nAnswer: 10, 3, 0, -2, -3, -10, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8625840 divided by 7?\nAnswer: -8625840\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -256.80615022 to 3 decimal places.\nAnswer: -256.806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -2361?\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 967 + -589. Let l = 4201\/11 - n. Find the common denominator of l and -35\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 424*o**2 - 10173*o - 67. Determine x(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 101065\/1394*(-2)\/(-5)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17185.89 less than 1.53?\nAnswer: 17187.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -7, 4\/7, 5, 5\/2, 1, 12\/13?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746513299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2654*y**5 - 7*y**4 - 12*y**3 - 11*y**2 - 47264*y?\nAnswer: 159240*y**2 - 168*y - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -40 + (3 - 0) + -3. What is the tens digit of (3*v)\/(-4) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 36. Suppose z - 1 = -i. Is z less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 5*d + 9, 0 = -2*n - 0*n + d + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*v + 1251, 0 = -3*v - 3*i - 559 - 689. Let n = 443 + v. Calculate the least common multiple of 85 and n.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63060 (base 9) to base 11.\nAnswer: 29295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3413, -6820, -10227, -13634, -17041?\nAnswer: -20448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -181.628, 17, -1\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 918315 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -19. Suppose c - 1 = 5*p. Suppose 3*v + 2*t - 8 = 0, -5*t - 5 + 20 = p*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -386 + 377. Which is smaller: f or -58\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 7*r**2 - r**2)*(-2*r**3 + 0*r + 0*r + (r**2 + 0*r**2 + r**2)*(-28*r + 35*r - 26*r)) - r**5 - 3 + 3.\nAnswer: -121*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 24*b = -2700. List the prime factors of b\/27*(-5022)\/(-15).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 o when three letters picked without replacement from obooafbyynb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7850*p = -7838*p - 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 17 + (2314\/104 - 38). Let -9\/8*m - 15\/4 + b*m**2 - 3\/8*m**3 = 0. Calculate m.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214059 (base 12) to base 16\nAnswer: 80445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -7. Suppose -5*u = o*p - 292, 2*u - 6*u + 2*p + 218 = 0. Calculate the greatest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5)*w**1\/w)\/((w\/(w**(-2\/11)*w))\/(w*w*w**(2\/15)*w)))\/((w\/w**(1\/2))\/(w\/((((w**(1\/5)*w*w)\/w)\/w)\/w))*w*w**(-2\/5)*w*w\/w**2) assuming w is positive.\nAnswer: w**(1073\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 2)*(-3 + 2). Suppose 2*t - q + 47 = 0. Let n = 54 + t. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ddcddddddcd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -246*q - 1. Let p(y) = -258*y - 1. What is 4*m(x) - 5*p(x)?\nAnswer: 306*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-6*sqrt(156)*1*-3)\/((-1*-2*sqrt(1200) - sqrt(1200)) + -5*-1*sqrt(1200)))**2.\nAnswer: 117\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((0 + sqrt(153))*-2*-1 + (sqrt(153)*-2*-6 - sqrt(153) - ((sqrt(153)*1 - sqrt(153))*5 - sqrt(153))) + 2)*-2)**2.\nAnswer: -359904 - 2016*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l + 4 - 2 + 1. Let d = 14725 - 14728. What is s(d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, h: 1, a: 6, m: 3, b: 1}. Give prob of sequence bma.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 16) in base 4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*y + 115, -3*m + 75 = -2*m - 3*y. Let g be (6\/m)\/((-2)\/6). What is the biggest value in 4\/5, -1, g?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51987950 rounded to the nearest 100000?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.247335 - 0.5?\nAnswer: -0.252665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*s)*(-41*s**3 - 44*s**3 + 93*s**3) as t*s**4 + w*s**3 + m + a*s + d*s**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8797181 or -8797173?\nAnswer: -8797173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8592a - -10b9?\nAnswer: -84831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.593336006 to two dps.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {b: 1, z: 1, o: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/21)\/((5\/(5\/2))\/2)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 37*v**2 - 2*v. Suppose -2*t - 4*l + 70 = 0, 3 - 9 = -2*l. Let r(x) = -t*x + 10 - 10 + 26*x. Calculate r(q(p)).\nAnswer: -111*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -101?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1098648083 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -44 and 54.365435?\nAnswer: 98.365435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*b + 4 = 0, -10 = -5*l + 534*b - 529*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(16975\/194)\/(-175)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*d - 94*d - 5086 = -100*d + 2138 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2127*v - 2144*v - 2134*v - 2132*v - 2130*v - 2138*v + 12812*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 2. Let q(j) = -j**2 - 6*j - 12. Let k(r) = -6*c(r) + q(r). Let v(t) = 10*t**2 + 2. Determine v(k(l)).\nAnswer: 10*l**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 + -7. Suppose 25 = -18*y + 385. What is the lowest common multiple of r and y?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*k**2 + k**3 + 4 + 16*k**2 - 4 - 3*k**4 - 2888*k - 2129*k wrt k.\nAnswer: -36*k**2 + 6*k + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 661 + -636. Solve -z*t - 24 = -33*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 771*i + 4603 + 8293 = -982 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45208, -45192, -45156, -45100, -45024, -44928, -44812?\n\"Answer: 10*y**2 - 14*y - 45204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3407732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 361723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p - 2*p**2 + 7*p**2 - p**2 + 15*p.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -12*u + 7*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 515616*g - 3093552.\nAnswer: -4*(g + 6)*(g + 128898)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*k + 139. Let g = -43 - k. What is the remainder when 85 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -7. Let y be 7\/(-10) - (-1)\/2. Let l = -46652 - -46650. Sort y, 2, i, l in ascending order.\nAnswer: l, y, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 559.12 + -559. Let o = 1 - 2. Let q be o\/(-6) + (-203)\/(-42). What is the second smallest value in 0.3, g, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -6 - 17) + -4 + 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 117523 = -3*m, -40 = 2*m - 34. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*v + 4*h, 2*h + 12 = -7*v + 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2377 = 23*q + 2239 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Let q(f) be the second derivative of 1\/12*f**4 + 11*f + 0 + 0*f**3 - 1\/2*f**2. Calculate q(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -135. Suppose 5*l + 11 + 4 = 0, 54 = -5*z - 3*l. What is the common denominator of 43\/40 and (-760)\/y - (6\/z - -1)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**3 + 36*o**2 + 112*o + 160. Let k(p) = -2*p**3 + 19*p**2 + 56*p + 80. Let g(r) = 5*k(r) - 3*s(r). Factor g(z).\nAnswer: -(z + 4)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 391590?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/429 and 131\/312.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 1465*a - 62 = 1464*a, -167 = 8*j - 3*a for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3849*n = -3842*n - 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1 + (1 + 2 - 1)*(-2 + 4 + 0) - 4 + 0 + 3 + 0 - 3 + 1 - 1 + 1 - 1 - 11 + 6 - 24)*(39 - 30*c**2 - 39).\nAnswer: 930*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15955\/14 - -1139. What is the common denominator of (2\/(24\/7))\/(2\/(-76)) and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**6\/240 + r**5\/120 + r**4\/4 + r. Let m(t) be the third derivative of q(t). Determine m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 30 = 168. Let u = -24 + f. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3437, 3351, 3211, 3017?\n\"Answer: -27*c**2 - 5*c + 3469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -3\/2 (c) -0.3 (d) 1\/5 (e) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u**2 - u + 149. Is h(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 + -29. Suppose -2*n + 51 - o = 0. What is w in 17*w**5 + 4*w**4 - 2*w**3 + 0*w**4 + n*w**5 - 20*w**5 - 4*w**2 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15870 - -810932456?\nAnswer: 810916586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1803, -1600, -1421, -1266, -1135, -1028?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -2*l + w + 1, -w - 46 + 17 = -9*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1164 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 749714184*v**2 + 749714205*v**2 - 1499428408*v**2.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 14*g - 196. What is w(22)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 6*b + 5. Let t = -19 - -14. Calculate y(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -314649\/7582 + -2\/3791. Calculate the common denominator of g and -67\/1012.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 174650 to the nearest one thousand.\nAnswer: 175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - 0.09. Let n = p - -1.03. Which is the closest to n? (a) -4 (b) -2\/5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-37830)\/24 - (-1)\/4. Let g = b - -3241. Suppose -4*f + 3*m = m - 1350, -2*m = 5*f - g. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2267908872.\nAnswer: 2, 3, 269, 351287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 5:52 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2470530, -2470564, -2470622, -2470704, -2470810, -2470940, -2471094?\nAnswer: -2471272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 6 (c) 0.3 (d) -46 (e) 4 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + -91. Suppose -5*s + x = -0. Solve s = -3*j - 0*j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273163365 a multiple of 3888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.051 + 120.949. Let m = g + -121.1476. Let w = m + 0.14760597. What is w rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 47*k + 492. What is q(-7)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3346, -0.4, -1\/5, -0.7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -9.96?\nAnswer: 8.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 32300*p**3 + p**2 - 3*p + 2. Let i = -34 + 35. Let l be q(i). Round l to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 4*m - 6. Let j = 28 + -31. Let c(o) = -o**3 - 4*o**2 - 5*o - 11. Calculate the least common multiple of p(j) and c(-5).\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 4)*(-3 + 3*m - 4*m + 2).\nAnswer: -7*m - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*i**3 + 260*i**3 - 453*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4*l + 116, 4*v + 16*l = 11*l + 121. What is the lowest common multiple of 48 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0483 + 137088.852699.\nAnswer: 137088.804399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.67 - 17. Let c = -0.07 + o. Round c to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 178622274 and 361730?\nAnswer: 893111370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1604500 and 139\/1444050.\nAnswer: 14440500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -262*w**6 + 2*w**2 + 10?\nAnswer: -31440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510179997 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 q, and 1 p when four letters picked without replacement from pqqqqtsqq.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02998477 to three dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 101*c - 2255. Suppose 2*m - p = -21 + 200, 3*m - 275 = -5*p. Calculate the remainder when m is divided by i(-34).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*z - 3*a, 0*z - 3 = -3*z + 3*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 v when four letters picked without replacement from {l: 7, v: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 107*d**2 + 54*d - 5. Calculate k(54).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r**(-1\/2)\/r))**(7\/3)*(r**(-1))**(-47) assuming r is positive.\nAnswer: r**(289\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/9 + 284406\/(-83727).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 2)*(788*b - 788*b + 32*b**2) - 2*b**2 + b**2 + 2*b**2.\nAnswer: 161*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**5\/60 - k**3 + k**2 - 4. Let u(h) be the second derivative of d(h). What is the first derivative of u(i) wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522, 1211, 1900, 2589, 3278, 3967?\nAnswer: 4656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 151297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47 and -27233.3.\nAnswer: 1279965.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-12))\/((-3)\/((-27)\/(-2))). Solve 5 = -c - f*x, 4*c + 20 = -3*x + 4*x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -678649432*k - 881820756 wrt k.\nAnswer: -678649432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 3, i: 7, h: 6}. What is prob of sequence fhh?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 636356204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13355, -26727, -40099, -53471, -66843, -80215?\nAnswer: -93587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -365233919 - -2.35?\nAnswer: -365233916.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 4. Let d = -5 + t. Solve -2*f - 4*l + 16 = 0, -d*f + l - 13 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -1\/545, 3 in decreasing order.\nAnswer: 3, 5\/2, -1\/545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(2) + sqrt(8)\/(sqrt(100) - sqrt(4)) + 3)**2.\nAnswer: 5*sqrt(2)\/2 + 33\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -0*b + 5*b - d, -4*b - 3*d = -16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 13*n = 0. Let w = 7 - 1. Let p = w + n. Is 16 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 540*z. Let i(w) = -5780*w. Determine i(v(a)).\nAnswer: -3121200*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33*14\/1540)\/(57\/(-5))?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3464*b**5 - 26439*b**3 + 20065868*b + 7?\nAnswer: 69280*b**3 - 158634*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 210\/40 + 2\/(-8). Suppose f*o + 30 - 120 = 0. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2. Let z(l) be the first derivative of 5 + 1\/120*l**5 + 0*l**4 + 0*l + l**3 + 0*l**2. Let t(c) be the third derivative of z(c). What is t(p(u))?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1542331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, 1, -5, 91, 45 in descending order.\nAnswer: 91, 45, 14, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 1\/30*c**6 + 3*c**2 + 0*c**5 + 0*c + 0 + 0*c**3 - 1\/4*c**4. Find the second derivative of f(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/4 - 187*c**2 + 1493*c\/4 - 373\/2 = 0. Calculate c.\nAnswer: 1, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 25. Let h be g(3). Let v = h - -25. Suppose v*d + k = -1981 + 10689, 3*d = -4*k + 8705. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -335 (base 11) to base 7.\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.02 - 0.18. Let r = q - 0.8. What is the biggest value in -3, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -532 + -131. Let p = -657 - v. Which is the nearest to 2? (a) -1\/5 (b) p (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:21 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 3*m + 5*m - 5*m + 2*m.\nAnswer: -m + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*c = 6, 0*m - 3*m + 4*c = 3. Let j(g) = 2*g**2 + 7*g - 11. Is j(m) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 4 - 5 + 82*x + (2 + 3 - 4)*(36*x - 66*x + 5*x) + 0 + 3*x + 0.\nAnswer: 60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - c**4 - 28 - 831*c - 41 + 833*c as q*c**2 + l*c + t*c**3 + n + x*c**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*x + 145, -x + 0*i + 60 = 5*i. Suppose -t + 6*t = x. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04673 * -1.4\nAnswer: 0.065422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-231)*(-7)\/(-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2266105 (base 9) to base 8\nAnswer: -4530146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = i + 6*i. Suppose -4*x + 40 = -i*q - 0*q, -5*q - 16 = -3*x. Suppose 5*s - x = s. Solve g + 2*k + 0*k = -s, -3*k - 7 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*g = 72, -5*g + g = 0. Let y = u + -3. Let p = y + -11. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = 9*c + 144. Suppose 4 - c = -3*h. Suppose -w + h*r - 17 + 99 = 0, r = -2*w + 128. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let c(z) = -857917*z**2. Calculate g(c(v)).\nAnswer: 857917*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2 + 3*q - 2*q + 0*q. Let x be h(2). Let k(m) = -m**2 + 38. Is k(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189\/378*11*2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2.6, -2\/9, 19, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 6*j - 3*j - 3*j - 101 to the form c*j + x and give x.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/255 and 1\/((-54)\/159) - -5?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(612))**2 + 4.\nAnswer: 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52, 122, 230, 370, 536, 722, 922, 1130?\n\"Answer: -o**3 + 25*o**2 + 2*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b = -4. Suppose 147 = b*d - 1. Suppose -4*v + 19 = 3*w, -4*w + 30 = 4*v + 6. Solve -w*a + 12 = d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2898 + -8413.6. Round u to the nearest 100.\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14511, 11424, 8337, 5250?\n\"Answer: -3087*m + 17598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 58 = 375*n - 376*n, 5*u = 95 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-11 - -6 - (-2 + -1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-31)\/(-153) - (48\/(-27) - -2). Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 0. Let q = 1 + n. What is the third smallest value in q, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + -13436?\nAnswer: -13451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 6*c = 22. List the prime factors of 629 + 162 - (-3)\/(3\/c).\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 - (48 - (15 - 71))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10644 and 7983?\nAnswer: 31932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (262 - 253) + ((-9729)\/352)\/3 and -13.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159872 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 6*s - 7. Let q be d(-5). Let r be 14\/(-4)*(q - 0). Let b(i) = 2*i - 5. Is b(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 870\nAnswer: -1\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.012961 and 0.1.\nAnswer: 0.0012961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -16*i. Let f(g) = -1672*g**2. Give f(r(m)).\nAnswer: -428032*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 713\/5 - 143. Let t be 15 + (-81)\/6 + 22\/(-4). Which is the closest to o? (a) 0.2 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31530*q**2 + 16766*q**2 + 14760*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 19 - -7 - (2 - -1) - -8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1081\nAnswer: 5\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/(-84))\/(4\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99.8399*-0.09.\nAnswer: 8.985591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 4*t - 27. Let q be b(4). What is the tens digit of 2112\/q - (184\/(-40) + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-312)\/60 - (-7)\/(7\/6). What is the biggest value in 0.1, 27, -3, j?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*d = -94*d + 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2654.5 + -2655. What is the second smallest value in x, -1.81, -5, -3\/4?\nAnswer: -1.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*q - 5*q + s, -s = -3*q + 6. Suppose q*f - 5*f = 0. Let v be ((-4)\/(-6))\/((-8)\/(-72)). Solve f = 3*r - v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 22 - 14. Suppose -12 = 3*j, c*u - j - 22 - 2 = 0. Let h(z) = z**2 - 5*z. Let d be h(5). Sort 2, u, d, 3 in increasing order.\nAnswer: d, 2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 17*p + 159 - 75.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -7 + 3\/((-161028)\/(-53715)). Let t = 9097913\/232596 + u. Let v = -4607\/156 + t. Calculate the common denominator of 82\/21 and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1009690 and 548?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/(6831\/792).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 16 = 5*r + 3*b, -5*r + 31 = -2*b. Suppose r*j - j - 4*i = 40, -3*j + 27 = -2*i. What is the greatest common factor of j and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182.5 - -182.4999995779. What is i rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((2 + -4)\/(-2))\/(8\/2256) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 + 38805*i - 427460 = 0. What is i?\nAnswer: -7772, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07222 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - q + 2*q)*(10*q**2 + 1 - 1).\nAnswer: -30*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f*h**2*o + 28*f*h*o**2 + 3*f*h - 3*h**2*o**2 + h**2*o + 4*h*o wrt o.\nAnswer: 56*f*h - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c44 - 111?\nAnswer: b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {p: 2, j: 1, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3414, -3395, -3376, -3357, -3338?\n\"Answer: 19*b - 3433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 5857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420128?\nAnswer: 2, 19, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 49*c + 209. Let l be v(-30). Suppose -537*s**3 + 150*s**2 - 98*s**3 - 326*s**3 + 5000*s**4 - l*s**3 - 5*s = 0. Calculate s.\nAnswer: 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:29 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-8*2)\/(-4). Suppose 0 = g*l - 3*c - 3, -5*c + 9 = -2*c. What is the least common multiple of l and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -164\/28411037?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 22. Let v(c) = c**3 + 7*c**2 - 9*c - 4. Let o be v(h). Suppose -y - 54 = -o*n - 2*y, 6 = -3*y. Calculate the highest common divisor of 154 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 57 = -0*w. Suppose w = 3*s - 141. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1152 and (-18236)\/(-21312) - (60\/(-370))\/3?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 4. Let z(n) = 2*n + 7. Let y(t) = -5*m(t) - 2*z(t). Suppose 4*p = p. What is the units digit of y(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 390?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1024 + 2040 = 4*f. What is the remainder when 779 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(85\/(-15) - -1). Let m(g) be the first derivative of -2\/35*g**5 + 0*g - 2\/7*g**3 + b*g**4 - 2 + 1\/7*g**2. Factor m(d).\nAnswer: -2*d*(d - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(48))*3.\nAnswer: 3 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 336697815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3874 - 5789*x - 42*x - 3875 to the form w + b*x and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-126)\/(-27)*(-6)\/(-7). Let l(n) be the first derivative of -2\/3*n**2 + 0*n + 1\/4*n**h - 1\/15*n**5 + 0*n**3 + 2. Determine w so that l(w) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*sqrt(1539))**2*5*1.\nAnswer: 277021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w - 5*w**2 + 3*w + 2*w**3 - w - w**3 - 7 - 3*w. Let j = -1 + 7. Let l be z(j). Let q(c) = -3*c + 5. Give q(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/781 (b) 18 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3835 - 3835.0003294. What is d rounded to 5 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-16)\/88 + ((-243720)\/66)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563.646 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7463.704mm?\nAnswer: 0.007463704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20585 or 8?\nAnswer: -20585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363100 and 23900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilu when three letters picked without replacement from {m: 1, u: 1, i: 7, e: 2, l: 2, y: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a. Solve -2*x - 26 = 5*s, a*x + 4*x + 3*s + 24 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -944b5ac - 1?\nAnswer: -944b5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 995 = -4*t - 2*q, 270 = t + 4*q. Does 85 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 0, -4 in decreasing order.\nAnswer: 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43*t**2 + 75*t**2 + 19*t - 36*t**2 + 45*t.\nAnswer: -4*t*(t - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - 0.3. Let z = 0.03 + 0.27. Let r = a - z. What is the third smallest value in 1\/8, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azaaaaazaazqbsaszaa. What is prob of picking 3 a?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**4 + 2*f**2 - 336 - 8*f**3 + 3*f + 336 in the form a*f**2 + w*f**3 + i*f**4 + p + l*f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/72)\/(25\/(-10))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42 - -1 - 99\/(18 - 27). Solve j + 52 - d = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**4\/4 + 2*n**3 - 3*n**2 + 6*n - 12. Let j = -10 - -3. Give b(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2860, 2886, 2914, 2944, 2976?\n\"Answer: q**2 + 23*q + 2836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2353*l**2 - 324 + 324 + 5556*l**2.\nAnswer: 3203*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*s - 266730 = 0, -s - 963 + 178788 = 2*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150.52 at least 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -605 divided by 193?\nAnswer: -605\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9271?\nAnswer: 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, 30, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 3*w + 138 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - u**2 + 2. Let b be 5\/(-2 + -1 - -2). Let n be j(b). Round n to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(sqrt(208) + -1) + -2 - (-1 + sqrt(26)\/(1*sqrt(50)) + 0).\nAnswer: -12 + 119*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -16088\/3 and -5362 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(4\/15))\/l)\/l**(-3\/2))**(-40) assuming l is positive.\nAnswer: l**(-212\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 54*x + 148. Let b(p) = p**2 - 55*p + 149. Let t(q) = -4*b(q) + 5*j(q). Let v be t(3). Solve -2*y = 3*c + 3, v*c - 3*y = -y - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80.609995895 + -80.61. Round l to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/24 and -65\/84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 42?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*x + 12, x - 14 = -7*v + 3*v. Let i(m) = -m**2 - 2*m + 1. Let w be i(-2). Differentiate -4*j - 3*j**v + 4*j - w wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -98798?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 38858*g**2 + 377174985*g - 6044751504.\nAnswer: (g - 16)*(g + 19437)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21.74909nm?\nAnswer: 0.02174909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67419 and 14864641.\nAnswer: 2497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -438 and -3.5.\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24685274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9125 (base 13) in base 7?\nAnswer: -2561116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:03 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(252) + -1 + -2)*2 + ((sqrt(252) - (sqrt(252) + 0)) + 5 - sqrt(252)*-1*-4)**2 + 5).\nAnswer: -16224 + 912*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*g + 12, -2*z - 3 = g - 3*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 72. Let x(u) = -u. Let n(m) = 14*m - 2. Let q(l) = 2*n(l) + 36*x(l). Calculate the remainder when q(-7) is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/3)\/(3\/40). Calculate the greatest common factor of m and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -m - v + 17, -2*m = -6*v - 2237 + 2187 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -439296 by -12.\nAnswer: 36608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 21, 5, -4 in increasing order.\nAnswer: -4, 1\/2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -147, -306, -521, -792, -1119, -1502?\nAnswer: -1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780 = 5*q - 2620. Suppose -2*l + 174 = 5*n, -4*l + q = -n + 6*n. What are the prime factors of l?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odhqton. Give prob of picking 3 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.07 - 0.07. Let z(l) = -l**3 + 6*l**2 + 2*l - 13. Let p be z(6). Let o be 100\/(-15)*(-2)\/40. Which is the nearest to 1? (a) p (b) v (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.036 + -0.035971. What is k rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-234)\/(-5))\/(-7*22\/(-1155)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 0 + 48\/11*p**3 + 1\/165*p**6 + 5\/22*p**5 + 28\/11*p**4 - 38*p + 0*p**2. Factor i(g).\nAnswer: 2*g*(g + 1)*(g + 12)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54601\/5410 + 4\/541. Let i = -467 - -9323\/20. Find the common denominator of p and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) 2\/5 (c) -4 (d) -9\/8 (e) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -897.4 - -897. What is the smallest value in i, -9, 3, -1\/32?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1259*z = -222533 + 141957 for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-1*-1 - sqrt(45))\/(sqrt(9) - 1*sqrt(729)) + ((sqrt(15)*1 - sqrt(15))*4 - sqrt(15))\/(sqrt(15)\/(sqrt(15)\/sqrt(3))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517 + 2*m + 2132 - 503.\nAnswer: 2*m + 2146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*m - 10 = -87*m. Let i be -1 + 15\/(-3) + m. Is i smaller than -1\/388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 3*w. Let g be f(2). Suppose -g = 2*x - 12. Let -5*a**3 - a**3 + 0*a**3 + x*a**3 = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**4 + 140*q**3 + 384*q**2 - 16*q - 512 = 0.\nAnswer: -32, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 - -219. Suppose 91*h + 12 = u*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73878138 divided by 6\nAnswer: 12313023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102286390.\nAnswer: 2, 5, 41, 317, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 162 = -5*t, -3*t + t + 54 = -5*v. Suppose -23*q - 4*w - 8 = -25*q, 4*w + t = 4*q. Solve -i = -5*h - 21, -i - i + q = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:15 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1438 divided by 719.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oocccccccooco. Give prob of sequence coo.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 7, a: 2, q: 7, t: 2}. What is prob of sequence add?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26 and 4.5?\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3, -2, -81, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 28*k - 77. What is the units digit of l(32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - -35. Calculate the highest common factor of 414 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2929 is divided by 976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -3*l**4\/2 - 4*l + 43. Let y(a) = -2*a**2. What is u(y(k))?\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4253205254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49.31 - 36.47. Let i = -9.18 - u. Let r = i + -76.029. Round r to 2 decimal places.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(272) + (sqrt(272) - (-2*sqrt(272) + sqrt(272) - sqrt(272)))*-3)**2 - ((1 + sqrt(272) + sqrt(272) - sqrt(272))**2 + -3 - sqrt(272))).\nAnswer: -4*sqrt(17) + 17137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = 2*w, -4*b + 75 = -w. Let h(q) = 20 - b - 3*q. Let o(s) = 2*s. Determine o(h(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - b)*((3 - 2 + 1)*(0 + 1 + 1) + 2 + 2 - 3).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9161*s + 24786. Let k(c) = 3054*c - 8268. Let x(b) = 7*k(b) + 2*l(b). Find the first derivative of x(p) wrt p.\nAnswer: 3056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 272130?\nAnswer: -1\/272130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -53399 bigger than -53400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(14)*3)\/sqrt(2) + -2 + (sqrt(77)\/(sqrt(44) - sqrt(11)) - (sqrt(7) + -4*sqrt(7) + 2))).\nAnswer: -2 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1210 + -1199. Suppose -v = -2*w + 32, -3*v - v + 93 = 5*w. Calculate the remainder when w is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*a + 18. Suppose -4*w - a - 29 = 0. Let u = 11 + w. Solve u = -4*x - 18 + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 624224*t + 2248*t**2 - 1129 - 624224*t wrt t.\nAnswer: 4496*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 - 17 = -u, 3*u + 5*s - 27 = 0. Let a(x) = u*x - x - 4 + x - 3*x. What is a(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (0 + -1)\/((-4)\/2404) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 428957175 and -0.059.\nAnswer: 428957174.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(36)\/(sqrt(24)\/sqrt(2)) - (sqrt(147) + 0 + sqrt(3))).\nAnswer: -7*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42672\/64008)\/(2\/(14*3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + 2*5*sqrt(77))\/(-4*sqrt(1008)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -14, 18, 90, 214, 402, 666, 1018?\nAnswer: 1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -369*z**2 + 6289*z wrt z.\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 475, -114, 63 in decreasing order.\nAnswer: 475, 63, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 398*u**3 + 4*u**2 + 3*u + 1. Let s be f(-1). Is s at least as big as -396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(128) - (sqrt(128) + 0) - sqrt(128))**2 - sqrt(128)) + sqrt(128) + sqrt(128) + 4 + -2 + sqrt(128))*-6*-2*-1.\nAnswer: -576*sqrt(2) + 4584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 3, 4487, 1, -5 in ascending order.\nAnswer: -5, -4, 0, 1, 3, 4487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51064 - 3?\nAnswer: 51061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5333718 and 1716.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00175271975 rounded to 5 decimal places?\nAnswer: 0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.04 less than -654.96779148?\nAnswer: -645.92779148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/14127 and -75\/578?\nAnswer: 480318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.542 - -1.542. What is the closest to 0 in -3, -0.4, m, 30?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, w: 8, z: 2}. What is prob of picking 1 b and 1 w?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*y**3 + 316*y**3 + 256*y**3 + 294*y**3 - 1081*y**3.\nAnswer: -64*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -174, -163, -138, -93?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86979*b - 81044*b - 224357*b - 140697*b.\nAnswer: -359119*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -728*p**5 + p**3 + 23*p - 4 wrt p?\nAnswer: -14560*p**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105858530 to the nearest integer?\nAnswer: 10289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/7)\/((h\/(h\/(h*h**(1\/8))))\/h))\/(((h*h**(-6\/7))\/h)\/h**(-8)))**16 assuming h is positive.\nAnswer: h**(-830\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - -2) + (-1 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -8. Let d = -5976 + 5971. What is the biggest value in 43, v, d?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 404191993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -389*i + 216*i + 174*i - 472. Let n(q) = -2*q**2. Give n(t(c)).\nAnswer: -2*c**2 + 1888*c - 445568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 125560?\nAnswer: 878920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Suppose a*f - 9 = -3*f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 111*u**6\/5 - 253*u**4\/12 + u - 206. What is the third derivative of n(m) wrt m?\nAnswer: 15984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -12 - 5 - 7*y + 19*y. What is the remainder when q(5) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/4 (b) -2\/3661 (c) -20 (d) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*w + 2, -5*w - 5*k - 6 = 4. Let p = w + 7. Calculate the highest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 8*u + 607788 - 607884, -5*a = 4*u - 88 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18377.\nAnswer: 17, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -12. Suppose -3*z = 3*y + t + 2, 2*y - 6 = 3*z. Let x = 2.7 - -2.3. Which is the closest to 1? (a) 0 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2640*s + 4041*s - 1291*s.\nAnswer: 5390*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.555068 months in years?\nAnswer: 1.629589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + c - c. Let j(i) = 4*i - 5. Let f(m) = -m - 4*m + 2*m + 3 + m. Let u(k) = -5*f(k) - 3*j(k). Give u(a(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/11 (b) 0.5 (c) 42 (d) -3\/7 (e) -4\/87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 72. Let p = 34 + j. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 60*c + 339. Determine j(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -17*n - 3. Suppose -4*l + 26 + 33 = 3*o, 6 = -2*o. What is the remainder when x(-2) is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12602658 is divided by 4836.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -2 + 6 + -24 + 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2813?\nAnswer: 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 505*d**4 - d**3 + 127*d**2 wrt d.\nAnswer: 12120*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.3. Let h = 107.51 + -107.41. Put k, 19, h, -3 in ascending order.\nAnswer: -3, k, h, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 2) + (-5 + -1 - 13) - -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 c when three letters picked without replacement from wcwcccccccwww.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-836)\/1254)\/((168\/(-27))\/14)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460409*i - 47400 = 461009*i for i.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 5:53 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15010 - 135086\/9. Put p, 1, 1.6, -0.12 in increasing order.\nAnswer: -0.12, p, 1, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = m. Suppose 2*o - 12 = -m*x, x - 1 = -4*o + 20. Sort 4, o, 3.\nAnswer: 3, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z + 89. Let j(p) = p - 3. Give j(h) + l(h).\nAnswer: -3*h + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0433867 and -2.15.\nAnswer: -0.093281405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -23, -67, -129, -209?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1396328932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*s**2 + 173*s - 173*s to the form h + w*s + m*s**2 and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990441 is divided by 1628?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*n - 3*t, -3*t + t + 2 = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 741 and 12.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 156, 267, 432, 657, 948, 1311?\nAnswer: 1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -529 (c) 1\/2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 280 + -272. Let g be 29*(-4)\/t*-2. Solve -2 = -3*q - 3*b - g, -3*b = q + 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10211209 to the power of 1\/2, to the nearest integer?\nAnswer: 3195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (1 - (2 - 6)) - 13) + 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 9) to base 8.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 11, i: 2}. Give prob of picking 2 m and 2 h.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*o**4\/4 + 1965*o**3\/4 - 5283*o**2\/4 + 4635*o\/4 - 663\/2 = 0. Calculate o.\nAnswer: -221, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 8. Let v = 566 - 561. Let s(a) = a. Let n(u) = -u. What is v*s(f) + y*n(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3\/2, -39, 0.2, 18?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**7\/5040 - o**6\/1440 + o**5\/120 - o**4\/24 + o**2. Let c(y) be the second derivative of d(y). Factor c(n).\nAnswer: -(n - 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6 = -a, 2*k - 4*a - 58 = 0. What is the third derivative of 6*l - 4*l + 25*l**4 + l**4 + 9*l**2 + k*l**4 wrt l?\nAnswer: 1224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -28*r**2 + 3007*r - 4168. Give y(106).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: cd4c (base 15) to base 5\nAnswer: 2342442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 195*u - 4124 + 419 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138491671?\nAnswer: 23, 261799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 57184850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -466db - -4?\nAnswer: -466d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -276*c**3 + 11499*c**2 - 142*c - 19114?\nAnswer: -1656*c + 22998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 10*g**2 + 12*g + 10. Let x be (-2*1)\/((-16)\/(-88)). Let s be m(x). Sort 9, 5, s in increasing order.\nAnswer: s, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 640 (base 7) to base 10\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 10:30 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1722568208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:47 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -180, -1.6, 4, 1\/206, -4 in increasing order.\nAnswer: -180, -4, -1.6, 1\/206, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 281, 385, 565, 821?\n\"Answer: 38*z**2 - 10*z + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1044.01795 - 1044. What is z rounded to four dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.58 - -2.58. Which is the smallest value? (a) 0.8 (b) x (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*u, 5*u - 870 + 879 = 2*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.97027858 - 2.005284. Let u = -0.035 - a. Round u to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - 4*t + t - 4*t - 4*t + 6*t + (-4 + 0 + 2)*(1 - 1 - 2*t) - 2*t + 0*t + 4*t + 4*t + 2*t - 4*t + 3*t - 6*t + 0*t + 7 - t - 7.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -26, -34, -44?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4909 divided by 2.\nAnswer: 4909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 59 (b) 4 (c) 4\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 4. Let h be 544\/(-144) - 4\/18. Let z be 480\/75 - h\/(-10). What is n(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**2 + 4*g - 9. Let j(v) = -11*v**2 + 8*v - 18. What is -3*j(y) + 7*t(y)?\nAnswer: -2*y**2 + 4*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003418007 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 2 (c) -5 (d) -1 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 2:45 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/((-12)\/(-11)) - 5. What is the closest to 2 in x, 2, -5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1098 - 58*o + 73*o - 1111)*(-3*o + 5*o - 4*o).\nAnswer: -30*o**2 + 26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 98*a**2 + 5*a + 3. Does 11 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 281003 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -211, -0.1, -47\/20?\nAnswer: -47\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 3*x**2 + 5*x. Let p = -11 - -16. Calculate the remainder when p is divided by l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 883610584?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 237, 359, 481?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8880*l**2 - 481*l + 481. Let g(f) = 37*f**2 + 2*f - 2. Let w(b) = -1443*g(b) - 6*t(b). Let u(z) = z. Give w(u(c)).\nAnswer: -111*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49214, 98676, 148144, 197618?\nAnswer: 247098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 3 - (93 - 94).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 69*w - 454. Give r(-63).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1285835 or -2\/3?\nAnswer: -1285835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 15*p + 0*p**2 + 6*p + 47*p**3.\nAnswer: 47*p**3 - 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*u + 12, 2*u = -2*y + 3*y - 3. Suppose -2*r + 14 = h, -5*h = 2*r - y*h - 10. Calculate the greatest common divisor of r and 1125.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 83, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 16, -0.2, 5.\nAnswer: -0.2, -0.1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*p + 0*p = 56, 2*z + 70 = -4*p. Let c = 55 + z. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -1)\/(4 - 3). Let b(g) = 4*g + 2. What are the prime factors of b(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/5 + 3\/5*j**3 - 3\/5*j + 6\/5*j**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (17 - 8)) + 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-1\/45))*((b\/(b\/(b\/((b**(3\/4)\/b)\/b)*b)))\/b)\/b)**(-43\/3) assuming b is positive.\nAnswer: b**(-9847\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3322769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1482 divide 51870520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/7*(-4)\/(96\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/210*-7*(-2)\/4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2.5 (c) 45\/392\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61871953 - 0.43.\nAnswer: 61871952.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 65 + 8 + 4*o.\nAnswer: 2*o - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**8\/2688 + 3*w**7\/560 + 9*w**6\/320 + 23*w**5\/480 - w**4\/8 - 3*w**3\/4 - 145*w**2. Suppose p(c) = 0. Calculate c.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 3:09 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6064305 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/((i*(i**(-27)\/i)\/i)\/i*i)))\/(i**(-24)\/i))**(-15) assuming i is positive.\nAnswer: i**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 32c (base 15) to base 5\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4160)\/(-364))\/(32\/56)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1156961 and 32539?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1113 = 517*w - 510*w. What is the remainder when w is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33409 at most -634785\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 27\/((-170)\/(113900\/(-402)))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = -30*f + 1038. Suppose 48*m + 9 = f*m. Which is greater: m or 15\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7723352 to the nearest integer?\nAnswer: 2779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28795273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5061808.\nAnswer: 2, 316363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 26, 2.\nAnswer: -13, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 7*l + 2 - 9*l)*(2 + 2 - 6).\nAnswer: -6*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.187384 decades to millennia.\nAnswer: 0.05187384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 3 - 3. Let k(j) = 2*j**2 - 5*j. What is k(h) - 5*v(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - 102. Solve 0*w = -k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 122 and 20.485?\nAnswer: 2499.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 8, -5*w + 2*w + 13 = 5*q. Suppose 286 = q*h + p - 248, -4 = -p. What is the units digit of (-2 - h\/(-10))\/((-5)\/(-25))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 388 = 4*c - 3*k, 4*k = -16. Suppose 4*t - m = -101, 4*t - 7*t = 5*m + c. Is 13 a factor of -2*-2*t\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18975\/1610)\/(33\/(-308)).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25844)\/156*3*(0 - -11)\/77?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**19*d)*d*d\/(d\/(d\/(d*(d\/d**(-22))\/d*d)))*(d\/(d*d**(-1\/3)*d))**24 assuming d is positive.\nAnswer: d**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at most 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40216 divided by 20108.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 11, r: 3}. What is prob of picking 4 h?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15328\/697424*14\/(-10)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -76.8 (b) 1.6 (c) -2\/761\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**2 + 2. Let z(w) = 4*w - 21. Let h(c) = 4*c - 22. Let x(y) = 6*h(y) - 7*z(y). Let u be x(4). Calculate the remainder when 13 is divided by f(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35777470169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 436*f + 434.\nAnswer: 2*(f + 1)*(f + 217)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 664*j**2 + 14*j**4 - 666*j**2 - 15*j**4 - 2 + 321*j**3 as f*j**4 + g*j**2 + p*j + o*j**3 + b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let d(x) = 7*x - 5. Let s(p) = d(p) - 2*w(p). Let j(a) = -13*a + 7. Let g(r) = 5*j(r) + 7*s(r). Let n(b) = -24*b. Determine g(n(q)).\nAnswer: 48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (-8 - 15) - -7 - (-16 - -1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r - 20*r + 171 + 37*r - 4. Is z(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1161 + 1060.1. What is b rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -5, -2.2, 1.2, 0.04, -63?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10567 and 602319.\nAnswer: 602319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -28*c**3\/3 + 9*c**2\/2 - 5*c + 14. Is n(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 31*a**2 - 87*a + 28. Let q be v(-33). Let r = 1208 - q. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 969969*-3\nAnswer: -2909907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-72)\/54)\/(2\/267). Let q = -573 - f. Find the common denominator of -49\/17 and q\/100 - ((-15)\/(-4))\/5.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-324)\/(-180)*(-70)\/(-3). Solve -40*c + v*c = 5*l + 16, 5*l + c = -22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/3, -2, -3, 121?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12942585 and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 11:32 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 426 and 71852.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -1 - 19. Find the second derivative of 6*p**2 - 4*p**2 - p**s + 3*p + 9*p**2 wrt p.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhqkvkqkkhrkqrhhkqhh. Give prob of sequence rkq.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -590, -624, -752, -1034, -1530, -2300?\nAnswer: -3404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 794074063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.098048 millimeters to centimeters.\nAnswer: 0.3098048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o + 142 = -89 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -15*m + 14*m**2 + 0 + 1\/2*m**3. Let v be t(-8). Solve v*a + 3 = -1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587973523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 22 - 22 + (q - 4*q + q)*(0 + 0 + 1) - 15*q - 29 + 29.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10392 = 5*z + 2*h - 51340, 0 = 2*z + 4*h - 24712. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 1101110101?\nAnswer: 1101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 61195.81 weeks?\nAnswer: 37011225888000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.4, -41\/5, -303, 3, 1?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6560540?\nAnswer: 2, 5, 7, 46861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41258028 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.3 less than 0.5?\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppqppppppppp. What is prob of sequence pqp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.294 and 0.3?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 10:23 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.37, -4, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3*n - 4*d + 3 = 0, -n - 2*d = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 14003 = 3*h, -4*y - 25677 + 2392 = -5*h. Let k = 74607\/16 - h. What is the common denominator of k and 73\/104?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 7*o + 18. Let q be j(-5). Suppose -3 = 11*c - q*c. Sort c, 1, 0 in decreasing order.\nAnswer: 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -702, -1369, -1858, -2079, -1942, -1357, -234, 1517?\n\"Answer: 15*w**3 - w**2 - 769*w + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 160 - 124 = 0. Solve 4*j - q - 19 = 0, 3*j - r*q + 6 - 30 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 4*x**2 + x - 2. Let n(k) = 4*k**3 + 66*k**2 + 2. Give 2*g(z) + n(z).\nAnswer: 2*z**3 + 74*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-114)\/(-12))\/(2\/20).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 123*t**2\/4 - 1311*t\/4 - 231\/2.\nAnswer: 3*(t - 11)*(41*t + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7012 and 314.\nAnswer: 1100884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 + 0*l + 5*l**4 - 9*l**4 + 2 - 3*l. Let k(d) = -9*d**4 + 5*d**3 - 5*d + 5. Let i(f) = 3*k(f) - 5*x(f). Find the first derivative of i(r) wrt r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2242*u - 1486*u - 1624*u to p + l*u and give l.\nAnswer: -868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -105, -79, -35, 27, 107, 205, 321?\n\"Answer: 9*k**2 - k - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207 + 24*x**2 + 108 - x + 102 + 6*x to l*x + o*x**2 + w and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3123, 12052, 26927, 47742, 74491?\n\"Answer: -f**3 + 2979*f**2 - f + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-209*o - 193*o - 200*o)*(11 - 8 - 119) to j + c*o and give c.\nAnswer: 69832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4260679, -4260619, -4260559, -4260499, -4260439?\nAnswer: -4260379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 1 - (-1904)\/(-946). Let j = 3876\/473 + m. Let i = 215\/33 - j. What is the closest to -1 in -5, 4\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -3, -1821, -5 in ascending order.\nAnswer: -1821, -5, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 127 and 96?\nAnswer: 12192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 1\/30*t**6 + 0 - 11*t - 3\/2*t**2 + 0*t**3 + 0*t**4 + 0*t**5. What is the first derivative of w(h) wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -25358 - t + t**3 + 12674 + t**2 + 12690. Let s be 3\/((-6)\/10) + 2. Let r be (3 - 1) + s + 1. What is v(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 3\/4, 0.03, -1\/3, -190?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156535?\nAnswer: 5, 31307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 193*r + 0*r**2 + 193*r - 366.\nAnswer: -r**2 - 366","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 343*a**2 + 8*a + 11. What is the tens digit of p(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0123*38125\nAnswer: -468.9375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 657 (base 9) to base 12\nAnswer: 38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 485112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -3 (b) -26 (c) 3\/4 (d) 9\/130\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 20161312.\nAnswer: -20161311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.259 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3)\/l)\/l**(-1\/5)*l**4*l*l\/(l\/(l\/((l**(4\/11)\/l)\/l))))**(-1) assuming l is positive.\nAnswer: l**(-1238\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 4.1?\nAnswer: 0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 12:12 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -132*z - 807, 48822 - 48853 = z - 5*o for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 50. Suppose -10*u = -w - 103. Suppose -4*x = h + u, x - 5*x - 10 = 3*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8 = -c - 11, -5*l = -5*c - 45. Let z = 14.5 + -15. What is the fourth smallest value in z, l, -6, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/9 + 20\/90. Which is the nearest to s? (a) 1\/2 (b) 0.2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9*z**2. Let r(t) = -2*t - 37. Let v(y) = 35*y - 222. Let q(p) = 6*r(p) - v(p). Determine q(g(i)).\nAnswer: -423*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8167 times -2\nAnswer: -16334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -2\/1011 (c) -3\/7 (d) 174\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44\/479 + -347\/1437. What is the second biggest value in -4, -2, s, 65, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2272 = 254*z - 3824 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3\/4, 2, 1.3, 21, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/11 - -23\/22. Suppose -2*p = 5*x, x + x = -8. Suppose p = 2*l + 2. What is the second biggest value in l, a, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/25, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.1331 to zero decimal places.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 9300*w - 9302*w + 54, -2*j = 2*j - 3*w + 51 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fueufff. What is prob of picking 1 e and 1 f?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29698 times 0.17?\nAnswer: 5048.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 95 - (4 - 3\/3). What is the highest common factor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 3*l**2 - 70*l + 10. Let h be q(12). Suppose -7*x + 47745 = h*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*y**2 - 150*y**2 - 43*y**3 - 34*y**3.\nAnswer: -77*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (486\/81)\/((-3)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -11*o - 1. Suppose 5*g - 220 = -o*q, 0*q - 37 = -g + q. What is the highest common divisor of g and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 2)*(-23*h**2 + 11*h**2 + 11*h**2) - h**2 + 0*h**2 + 3*h**2 - 3*h**2 + 3*h**2 + 19*h**2.\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1056979134939 and -0.11.\nAnswer: -1056979134939.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2905 = 22*r - 2419. Solve -r*x + 248*x - 18 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4.1 (b) 0.2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -60. Suppose -3*g - 6 = -3*x - x, -3*x + f = -2*g. Suppose -3 = x*d - 12. Solve 0 = 2*s - s + 3*w - 13, 14 = d*s + 4*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876841557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15223?\nAnswer: 13, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3205.712 rounded to 0 decimal places?\nAnswer: -3206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-249*2\/21)\/((-150)\/22575*43)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186455, 186507, 186593, 186713, 186867?\nAnswer: 187055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 8*c**2 + 4*c**2)*(0*c**2 + 0*c**2 - 5*c**2).\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2 - 9*a**4 + 2*a + 21*a**4 + 4*a - 2*a + 5*a**2 - 2*a**3 wrt a?\nAnswer: 288*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 20 - 12. Let g be 1\/4 + 2\/f. Let k be 129\/42 + -3 + g. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1390 and 330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**5 + 19348*a**4 - 23328748*a**3 - 164037236*a**2 - 258010816*a - 117321680 = 0. Calculate a.\nAnswer: -5, -1, 2422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31094539 is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5588 + 5*z + 5588.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n - 3. Let u(t) = -t + 1. Let h be (-30)\/7 + 4\/14. Let j(w) = w - 3*w - 1 - 3 + 7 + 2. Determine h*u(r) + n*j(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 80 (b) -3\/16 (c) -1051\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -6. Let g be (-1 + 1\/p)*15. Is 7 a factor of (-2)\/10 + (-72)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3158.\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344908502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613.518mg in tonnes?\nAnswer: 0.000001613518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 126 + (3 + -2)*-3. Find the common denominator of -25\/12 and (-3)\/(-12) - (4 + o\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 11*n + 7. Let q be f(11). What is the highest common divisor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -3. Let o(q) = q**3 + q**2 + q + 6. Let b be o(0). Suppose 2*w - 5*w = -b. Calculate the least common multiple of n and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 17443*w - 87247. Give s(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from fuffzukuffuffuuuffk?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352 (base 13) to base 7.\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -58*t**3 - 3*t**2 + 75. Let r(a) = 116*a**3 + 7*a**2 - 152. Let n(c) = 7*j(c) + 3*r(c). What is the derivative of n(f) wrt f?\nAnswer: -174*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*6*((-215326)\/372)\/(-151).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -2*l + 5*p, 0 = -3*p - 0 - 12. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 6. What is t(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (93 - 6861*u - 7*u**2 + 8*u**2 + 6863*u)*(2*u + 5*u + 3*u) as z + d*u**2 + j*u + g*u**3 and give j.\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*w - 4*d - 74, -3*w = -5*d - 68. Let f = 95 + -66. What is the remainder when f is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679389 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:28 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9}. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(27) + 0 + 1)*-5)**2.\nAnswer: -450*sqrt(3) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.438 times 1?\nAnswer: 5.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43361, 42893, 42101, 40985?\n\"Answer: -162*t**2 + 18*t + 43505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000060848 rounded to 6 decimal places?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*h, 0 = 3*o + h + h - 11. Calculate the least common multiple of o and 7 + 6\/(3 - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 - s - 28. Give l(5).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*u - 102. Let a = 50 + -28. Let o = u - a. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -3*u + 3*w - 0*w, 4*u - 5*w = 92. Suppose 0 = 2*y + 3 + u. Let t = -11 - y. Solve 3*p = -b - t*b + 15, -3*p - 5*b = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 5*c**2 - 3*c + 1. Let h be o(3). Let u be (0 + 3)\/(-3)*-5. Suppose -u*x = 4*g - 30, 3*g = 5*x + h - 5. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p - 142 = 0. What are the prime factors of p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33197211 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31840 and 63321800?\nAnswer: 253287200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 2869?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1482, 1454, 1426, 1398?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10844 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkbfhokkffrffko. What is prob of sequence kr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-540)*17\/(85\/(-20))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6 - 2*p**3 + 0 + 5. Let w(j) = -22*j**3 - j**2 - 1. Let k(d) = 2*a(d) - w(d). Calculate k(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Let d be (-35)\/10 + c\/(-2). Let y = d + 12. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 349 + -1 - (-4 - (-3 + -1)). Suppose -h = -q + 92, -3*q + h - t = -7*q. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6027.993 decades to centuries.\nAnswer: 602.7993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 + 13)*(0*q - 3*q + 5*q) + (-4 + 2 + 1)*(-2*q + 1 - 1) + 1 + 2*q - 1.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 95.8 bigger than 24\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 13863 - 9157. Round z to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*j**4 + 2*j**4 - 571*j**2 + 343*j**4 - 25*j**2 + 280*j**4 wrt j.\nAnswer: 17928*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 246 + 173. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -418 - 281. Let u = -402 - n. Suppose u + 63 = 5*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32909440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2786651685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 57*p**2. Let j(a) = 1241*a. Calculate j(w(c)).\nAnswer: 70737*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -37846 to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 263675890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -7400, 4, 1, 0.2, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - 48 - -12 - (-2 + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588.7135um in kilometers?\nAnswer: 0.0000005887135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*c - 2. Let m be (-5)\/(-2)*(0 - c). Let a be 1\/(-1) - (0 - 10). Solve -m*s = a + 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 2*l + l + (-1 + 0 + 3)*(1 - l - 1))*(-2 - 8 + 1)*(13 + 8*l - 13) to the form q*l**2 + o + n*l and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y - 2*y + y + 4*y - 3*y - 3*y + (3*y - 3*y - 2*y)*(-1 + 5 - 2) + 2*y - 1 + 1)*(1 - 1 + 9*y).\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 155082037 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000103912233 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -799 + 800. Put c, -4, -8, -1 in descending order.\nAnswer: c, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1067 + -992. What is the remainder when 12599 is divided by p?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 14*w**2 + 13*w + 43. Let u be h(14). Let v = u + 344. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2 - 6)*(3*h + 0*h - 5*h) + 5*h + 0 + 0)*(23 - 2*h - 23) + (h - 3*h + 5*h)*(h - 1 + 1) to t + b*h**2 + q*h and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)\/(3 + -4). Suppose -6 = 4*k - 22. Suppose 2*d - l + 5 = k*l, a = 2*d - 3*l - 1. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182964 and 82596.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -1309312?\nAnswer: -9\/1309312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 43*w**9\/126 - 41*w**5\/12 + 17*w**2 - 1. Find the third derivative of d(u) wrt u.\nAnswer: 20640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6101640 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-3\/7)*m)\/m*m*m**(-7\/3)\/m)\/(m*(m*m*(m**(1\/3)\/m)\/m*m*m*m)\/m)**(3\/7))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*u**2 + 18 + 10*u**2 + 15*u**2 + 3*u in the form n + t*u + x*u**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 5063*a**3\/3 + 3179*a + 589. What is the derivative of n(w) wrt w?\nAnswer: 10126*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 5*b - 17. What is x(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 113*u**3\/3 + 29*u + 234. What is the first derivative of o(f) wrt f?\nAnswer: 226*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104070075 to the nearest one hundred thousand.\nAnswer: 104100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/8 (b) 4 (c) 0.1 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367303, 734603, 1101903, 1469203?\nAnswer: 1836503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:23 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6234000 = -7*y + y. Round y to the nearest ten thousand.\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -177\/86? (a) -0.4 (b) 198 (c) 0.2 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -600650, -1201218, -1801786, -2402354?\n\"Answer: -600568*d - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*h - 20 = 0, 2*q - 30 + 10 = 5*h. Suppose q = 2*d - 8. Suppose a + 0 = -1. Put a, d, 3 in increasing order.\nAnswer: a, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, e: 1, i: 2}. What is prob of sequence tet?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 23 + 193. Solve -5*t + b = 3*d, 3*t = 4*d - d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 85*g - 82*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 38, 108, 236, 440?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 + -395 + (8 - 151)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 7*h + 36. Determine r(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -79, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 639 divided by 2\nAnswer: 639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7653.\nAnswer: 3, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 2. Let i(m) be the first derivative of -m**4\/4 + 5*m**3\/3 - 5*m**2\/2 + 3*m + 8. Calculate the lowest common multiple of i(3) and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 28 - 1 - 10*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-309)\/206*2\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1101000100010?\nAnswer: 1101000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18532 and 12382?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 + 1 = 0. Suppose 3*l - 10 = -o. Let u = 4 - 2. What is the remainder when l is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 = -0*z. Let x = -4 + z. Let l(u) = 4*u - 1. Let n(h) = 1. Let o(b) = x*l(b) + 2*n(b). What is o(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, g: 4, n: 3, h: 3, q: 7}. Give prob of picking 1 e, 2 q, and 1 n.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -69 - (40 + 76 + -146)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10704 - 6757. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 54*l**2 - 255*l + 1345. Give x(-48).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, r: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-1)\/42*(-21)\/57?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/2*6\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(1440\/723) + -2. Let a(j) be the third derivative of 1\/12*j**3 + 0*j + 1\/480*j**6 - 1\/96*j**4 - 3*j**2 - q*j**5 + 0. Factor a(s).\nAnswer: (s - 2)*(s - 1)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 4:31 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.5735*-0.06845\nAnswer: 0.107706075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1702*o + 13623. Calculate q(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a - 177 + 52 - 198 = -76 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(24 - 24 - 41*j - 2*j**3).\nAnswer: -2*j**3 - 41*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0008979 + 23851.4.\nAnswer: 23851.3991021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -12.6. Let q = -0.32 + l. Let a = q - 1.08. Which is greater: 0.02 or a?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10455*b + 10439*b + 64 = 0. Solve 2*n + 5*i = 7 - b, n = -5*i + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.4 - -27.4. Let l = -18 + g. Which is the second smallest value? (a) 1\/5 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -103. Let h = -138.31739 + 36.317503. Let w = h - n. What is w rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) - 985\/(-3). Suppose 0 = f + 232 - 36. Let d = m + f. Calculate the greatest common divisor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:47 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 107499684 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1200010211 (base 3) to base 11\nAnswer: 227a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.534.\nAnswer: 0.1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t - 5*t + 5 - t. Let u(f) = -f**3 + 6*f**2 - 6*f + 1. Let v be u(5). What are the prime factors of h(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -82*w**2 + 348*w - 9. Let j(s) = -199*s**2 + 870*s - 22. Determine 5*j(a) - 12*r(a).\nAnswer: -11*a**2 + 174*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 412*a**5 - a**2 - 37*a - 14.\nAnswer: 8240*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(-252)*-18 - 12\/3.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214154579073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 7, -1\/9, -39, 3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/(-36))\/(9\/(-24)))\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3, -3*v + 5*v - 3 = 3*j. Suppose 4*o = 2*m - 2410, o + 1184 = m + v*o. Let l be (m + 1)\/(15\/2000). Round l to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/601 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.763700675 minus -0.12?\nAnswer: -2.643700675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0 = 16. Suppose 24*p - 5*p = 0. Solve n*t + 20 = -p*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 672 and 4326?\nAnswer: 69216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 34. Let d be (33\/6 - 4)\/(o\/(-14)). Let i = d + 30. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {j: 1, d: 1, i: 1, k: 1, h: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*y, 2*i + 13*y = 12*y + 54. Solve 0 = -4*d - 2*p - i, -6*d - 22 + 1 = -3*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -6126.\nAnswer: 3\/2042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -521108 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.35 - -8.35. Let m = i + -10. Let q = 0.2999997 + m. What is q rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3 - 306*b**2 - 6435*b + 72600 = 0. Calculate b.\nAnswer: -55, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 26*g + 4. What is u(-17)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5064 a factor of 945489312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (14 - -16 - 17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136.43 + 136.03. Which is the second smallest value? (a) 0 (b) -1\/7 (c) y (d) -5 (e) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 22*x**2 - x**3 - 4*x - 6*x - 24 - 9*x. Let o be z(21). Let h(j) = 3*j**2 - 4*j + 4. Let f be h(3). Are f and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 3*z**2 - 6*z**2)*(2 - 7 + 23) + 2*z**2 + 8 + 5 - 6.\nAnswer: -34*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 - 372*d - 58826.\nAnswer: (d - 878)*(d + 134)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 692*11.\nAnswer: 7612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 4*w + 146, -3*y - 9*w = 3*y - y + 357 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 89019 divided by -7\nAnswer: -12717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1398, 1422, 1482, 1596, 1782, 2058, 2442?\n\"Answer: 3*k**3 + 3*k + 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l*n**2 + 3381*l + 99103733*n + 175661 wrt n?\nAnswer: 6*l*n + 99103733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 24*s**2 + s + 12. What is the remainder when 214 is divided by a(24)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 6:05 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*q**3 - 14*q**3 + 52*q**3 - q**2 + q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, 140, -9, -20, -3, -2 in decreasing order.\nAnswer: 140, 10, 5, -2, -3, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 314607240*b + 24744428865104400.\nAnswer: (b - 157303620)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2200222 (base 3) to base 15\nAnswer: -8b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 + 4 = 0. Let t = 37 + -39. Let h be -1 + (t\/(-6))\/((-8)\/96). Put k, h, -18 in decreasing order.\nAnswer: k, h, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2684 and 6588.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -61. Let k = w + -19.5. What is the nearest to 0.2 in 4, k, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 20 + -6 - (6 + (-8 - -4))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-2)\/(-8))\/((-107)\/(-1391))*5\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 100\/(-2 + (-14)\/(-8)). Let y be 9\/2 + (-6042)\/(-76). Calculate the common denominator of 3\/(7 + 2) + u\/y and -97\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46)\/(-207) - 1356004\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvd when four letters picked without replacement from {d: 6, v: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 5. Let n be c(-5). Let z(i) = i - 7*i**2 + 12 + 26*i**2 + 0*i**2 - 7*i**2 - 11*i**2. Let u be z(n). Solve y = -3, u = g - 4*y - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 29370*y - 88091. Give l(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29831\/104 + 2289\/8. Let b = -37727\/33374 + -9\/1517. Find the common denominator of y and b.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 120, 110, 100, 90?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiooiiioiioiooooii. What is prob of picking 2 i and 1 o?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318714019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 3*j + j)*(2 + 9 - 6 - 2 + 7 - 3 + 2 - 4 + 3 + (-4 + 7 + 5)*(5 - 5 - 2))*(-5*j - j + 4*j)*(22*j - 3*j + 9*j).\nAnswer: -896*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/411 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-11 + -339 + 334 - (-4 - 67)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561.21 months to years.\nAnswer: 46.7675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 32?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 111\/9 - 4\/12. Is d less than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29628403243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - z**3 + 2*z**3)*(64 - 5*z - 58 + 4*z) + 49*z**4 + 48*z**4 - 42*z**4.\nAnswer: 50*z**4 + 30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 11)*(-3*q**4 + 2*q - 2*q + 2*q**2 - 2*q**2 - q**4 + (2*q + 2*q - 6*q)*(-3*q**2 - q**3 + 3*q**2)).\nAnswer: 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 28*h + 469. Is s(0) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 - -122. Let b(m) = -3*m**3 - 6*m**2 - 4*m - 4. Let g(y) = 4*y**3 + 7*y**2 + 4*y + 5. Let f(k) = p*g(k) + 3*b(k). Determine f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45393384 <= -45393383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 9 = -2*o. Let g be ((-4)\/o)\/(2\/3). What is the least common multiple of 2 and ((-16)\/(-6))\/(g\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 70. Suppose -2*j + 2*k = -54, 5*j + 3*k - 105 = 2*k. What is the least common multiple of y(22) and j?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.89 + 3.9. Which is the closest to w? (a) -1 (b) -4\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:58 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153153 and 41559.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**2 + 34 - 1444*d + 1461*d + 5*d**2. What is v(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -43 + (-33 + 15 - 4)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 0*d + 20*h = 16*h, 0 = -4*d - 4*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = 8. Sort r, 3, -8.\nAnswer: -8, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 325 + -303. Suppose 23*g = a*g + 6. Solve g*u + 4 = 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 2. Suppose -2*i + 2*u = -58, -i = i + 2*u - 66. Is 2\/a*i*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1477 divide 5284582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4674767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -6 + 0 + 9. Suppose 2*v = -2*q - c, -q - 5*v = -5 - 0. Which is smaller: -2\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -2 - 2331\/5*n**5 + 0*n**2 + 7938\/5*n**6 + 3*n + 4410*n**7 + 121\/3*n**4 - 4\/3*n**3. Factor x(h).\nAnswer: 4*h*(5*h + 2)*(21*h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -79578770 from -346.\nAnswer: 79578424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/((-3 + 9)*-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 100*c**3 + 5*c**2 - 6*c**2.\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-102)\/(-48))\/(2\/16). Suppose -42*g + m*g = -24350. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t - 14*t + 9 = -96. Let x(c) = -c**3 + 4*c**2 - 4*c + 4. Let r be x(3). Sort 8, r, t in decreasing order.\nAnswer: 8, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-10) - -4*7\/70. Solve 93 = f*y + 87 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844.5365ml in litres?\nAnswer: 0.8445365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 205.9 or 0.9?\nAnswer: 205.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*q**4 + 3*q**3 + 607*q**2?\nAnswer: 168*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(399\/4)*(-9)\/(-72)*-4. Let q(s) = s**2 + 4*s - 6. Let n be q(-5). Do n and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9253 - 9256. Put 1, 0, q, -251 in decreasing order.\nAnswer: 1, 0, q, -251","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*s + 5*s - 8*s)*(3*s**4 - 3*s**4 + s**4) + 5*s**5 - 3*s**2 + 3*s**2.\nAnswer: 50*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9 (b) 1\/21 (c) 2 (d) -34 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4338 + 0.5138. What is the closest to 2 in -2, -0.5, q, 16?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3322 is divided by 805.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-13))\/(5 + -4). Suppose -g - 4*s + 240 = h, 2*g + 4*s - 480 = 8*s. Calculate the highest common factor of 96 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 6*i**2 + 2*i**2)*(1 - 6 + 2)*(2*i**2 + 2*i - 2*i**2 + i**2) to z + y*i**3 + a*i + g*i**4 + k*i**2 and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 20*q**6\/3 - 10*q**5 - 45*q**4\/4 + 80*q**3\/3 - 25*q**2\/2 + 8158. Suppose v(x) = 0. Calculate x.\nAnswer: -5\/4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.3 + 20.69. Let t = 2.61 + b. Sort t, 4\/3, -22 in increasing order.\nAnswer: -22, 4\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t. Let h(s) = -37241413*s + 1. Give h(k(a)).\nAnswer: 74482826*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85146*c**2 + 0*c - 255994*c**2 + 85326*c**2 + 0*c + 85222*c**2.\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7029356 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 42214 (base 5) to base 2\nAnswer: 101011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/(-110) - (-1)\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -27, 0.2, 4\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 0 + 6*n**3 - n**2 + n + 1 - 2*n + 14*n**3. Let p(l) = 15*l - 4. What is the remainder when p(4) is divided by m(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-72)\/72).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 - -71. Suppose -4*z + o*a + 168 = 0, -2*a - 122 - 71 = -5*z. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l - 8. Determine d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4380 by 3041.\nAnswer: 4380\/3041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 12. Suppose 5*o + 4*v + 22 = 0, -5*v - 16 = y*o - v. Let z(k) = -7*k + 3. Let x be z(o). What is the greatest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 32*d + 92. Let b be u(29). Put b, -4, -26, 0.5 in ascending order.\nAnswer: -26, -4, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71164*j = -71176*j. Let f be (-2)\/4 - 10\/(-4). Solve -f*o + j = -6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -y + 3*l, -2*l = -3*y + 4*y + 8. Suppose -2*v - 5*g - 14 = -y, -g = 4. Suppose 6*u - 25 = u. Solve -v = 2*s - u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64288 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1344099, -2688177, -4032255, -5376333, -6720411, -8064489?\nAnswer: -9408567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818934 is divided by 163782.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 108*j + 22. Let p(m) = 98*m + 24. Calculate -6*p(h) + 5*q(h).\nAnswer: -48*h - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1288 - 0.9.\nAnswer: -1288.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26 and -0.004?\nAnswer: 25.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 - 5 = 0. What is the lowest common multiple of 6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 8*f**2\/9 - 440734996*f\/9 - 220367504\/3 = 0.\nAnswer: -3\/2, 55091876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**4*k + 137143*j**3*k + 6*j + k - 32 wrt j.\nAnswer: 12*j**2*k + 822858*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*(-3510)\/1950?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**25*v)\/(v\/(v**(-1\/11)*v*v)))**48)**(-23))**18 assuming v is positive.\nAnswer: v**(-5882112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n - 82 + 59 = 211 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qieieoffffyefoefiqeo. Give prob of sequence fe.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38768315?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -114*j**3 + 207*j**2 + 10*j - 24. Let a(f) = 160*f**3 - 290*f**2 - 14*f + 34. What is -12*a(l) - 17*n(l)?\nAnswer: 18*l**3 - 39*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 1857 - 845 = 0. Let x = 193 - b. Solve -4*m = -x*m + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68868, -137740, -206610, -275478?\n\"Answer: b**2 - 68875*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -2, -0.1, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, d: 1, w: 2, q: 6, a: 2}. What is prob of sequence daw?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 2*t. Let i be r(3). What is the common denominator of 1635\/(-140)*2\/i and ((-6765)\/(-660))\/(3*2*(-8)\/12)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 47, 15, -15, -25, 3?\n\"Answer: 3*w**3 - 17*w**2 - 2*w + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6925256 and 1020.\nAnswer: 103878840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -129*a + 142*a - 11102. Is 61 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 32318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792*c + 3*w = 1585*c - 795*c - 30, 4*c - 2*w = 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*p + (2 - 6 + 2)*(0 + 0 + p))*(6*p**3 - 41*p**3 - 27*p**3) to l*p**4 + w*p + o + d*p**3 + a*p**2 and give l.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 6*n - 37 + 65 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1888 + 2.\nAnswer: 1890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1 - -1119791399970.\nAnswer: 1119791399971.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + m + 351 = 3*m, -3*w - 351 = -m. Let x = 290 + w. What are the prime factors of x?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8474 - 22.8474. Let i = 0 - -3. Suppose 0 = 2*p + 3 + 1. Which is the nearest to s? (a) 4 (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 246*u**2 - 216*u + 477. Calculate c(-124).\nAnswer: -3491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from haaassaasssaaas?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144.9 - 145. What is the fourth biggest value in -3\/8, 0, 12\/13, d?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 50.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/4 (b) 0.5 (c) 2\/19 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 21 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 40, 82, 112, 124, 112, 70?\n\"Answer: -d**3 + 49*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166860 and 432?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 1. Let v(u) = -u**2 + 4. Let y(s) = 4*g(s) - v(s). Let f(t) = -t**2. Determine 2*f(p) + 2*y(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1007 and 1425.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2013385*3.\nAnswer: 3.6040155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 2*v + 4. Let c be h(-4). Suppose -66 = 4*b - 102. Sort c, 0, b, 2 in descending order.\nAnswer: b, 2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*i + 3, 2*i + 1 = 3*o + 6. Let j = i - -14. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*z**2 - 2*z**3 + 11*z**3 - 9*z - 13*z**3 + 8*z as a*z**2 + l*z + x*z**3 + g and give a.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -23*d - 7. Let r be ((-30)\/4)\/((-30)\/(-40)). Is z(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - s + 1. Let o = 10 - 4. Let u(m) = -m**2 + 9*m - 6. Let i be u(o). Suppose v + 2*v = -i. Let w(q) = 3*q**2 + 4*q - 6. Calculate v*k(p) - w(p).\nAnswer: p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 5*g**2 - g - 5. Let s be h(-5). Let u be (2 - s) + (2 - 6). Let f be 14\/91 - 45\/39. Put -3, f, u in descending order.\nAnswer: f, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 2:45 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from oorrdrrro?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m + 14. Let s(k) = -7*k - 27. Let p(z) = 5*i(z) + 3*s(z). Let n be p(-10). Suppose f = r - 3, 12 - 3 = -2*f + 5*r. Which is bigger: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21395809837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.146 minus 34.04?\nAnswer: -34.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/27)\/((-1012)\/(-207))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*s**2 + 20*s**2 - 6*s**2 + 3*s**2 to h + k*s**2 + o*s and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(3 + -4 - -6) - -5. What is the greatest common factor of 430 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*w - 11, 3*f + 16 = 5*w - 6. Let q be (1\/3)\/((-2)\/6) - -6. Calculate the highest common divisor of w and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 6201?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.077035 to four decimal places.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21218 - 21214. Let m = 1.03 + -0.03. Let k be 0 + (-2)\/1 + -1. Which is the third smallest value? (a) k (b) x (c) -4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 1.4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6283 = 3*u + 5*r, -11*r = -8*r + 12. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 - 178*d**4 + 1430*d**3 + 127050*d**2.\nAnswer: 2*d**2*(d - 55)**2*(d + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 5 - (15 + (-10 - (-9 + 4))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5782.2 to the nearest ten.\nAnswer: -5780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*o - 4867 = 5565 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + r**2 + r - 4. Calculate n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 9795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7 + 2*l**4 - 7*l**4 + 4*l**4 wrt l?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153483 is divided by 6673.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**5\/4 + 15*n**4 - 1165*n**3\/6 - 675*n**2 + 7850*n. Solve q(b) = 0 for b.\nAnswer: -1, 10, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feffeeeeffeeefjeeje. Give prob of sequence eef.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2462\/5 + -503. What is the common denominator of 61\/5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -12. Suppose 2*w - 2 - 8 = 2*h, -b*h = 3*w - 9. Solve 0 = w*o - 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - t - 6. Let r = 11 - 20. Let g be c(r). Suppose 4*x + x = g. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005345402 to 5 decimal places.\nAnswer: -0.00535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*q**2 - 36706*q - 538560.\nAnswer: 2*(q - 1683)*(11*q + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 3387 (c) -2\/11 (d) 11 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(210) + -1*-2*sqrt(210))\/sqrt(6))\/(5*-2*sqrt(252) + sqrt(252) - sqrt(252) - sqrt(252))*-1.\nAnswer: -sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -800, 125, 1698, 3919, 6788?\n\"Answer: 324*k**2 - 47*k - 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 80.9, 5, 0, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 5*q**2 + 3. Let y be k(4). Let s = y + -515. Is 15 a factor of s\/(-21) + 4\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + n - n + (-6 + 4 + 0)*(-n**3 + 0*n**3 + 4*n**3) - 2*n**3 - 15*n**3 + 0*n**3 as p*n**2 + t*n**3 + y + r*n and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1668*71\nAnswer: -118428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9994 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -500 - 75. Suppose 4*d - s = -d. What is the remainder when ((-126)\/4 + 0)*128\/(-96) is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7 + -4)*-1 + 37 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d*p**3 - d*p**2 - 124*d*p + 8*d + 24345701*p**3 + p**2 - 20*p wrt p.\nAnswer: 24*d + 146074206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = -18*w - 19. Let c be ((-4)\/115)\/(w\/55). What is the second biggest value in c, 2\/9, 1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/9 - 4\/3. Let h be (2 - (0 - 0))\/x. Calculate the lowest common multiple of 6 and 3 - (-1)\/h*-34.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(468))**2*-4.\nAnswer: -22464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 849712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 1. Let x(c) = 4*c + 13. Let i be x(-6). Let w be z(i). Is 3 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2*l**2)*(16 - 13 - 72*l**2 + 108*l**2) as f*l + r*l**2 + k*l**3 + z + p*l**4 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 + b**2 - 5*b**2 - 6*b**2. Let d(l) = -342*l**2 - 298*l**2 + 629*l**2. What is d(g(j))?\nAnswer: -2156*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Let a = 3 + y. Let v = a + 0. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 4 + (-12)\/(-3). Suppose 5*p = 4*t + v*p - 4782, 0 = 5*t - 4*p - 5962. List the prime factors of t.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19795\/16 bigger than 1237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73700 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -3*y**7\/35 + 7*y**5\/30 - 12*y**2. What is the third derivative of v(x) wrt x?\nAnswer: -432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -254.4 (b) 4 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*w**3 + 445*w**3 - 839*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1374*l**3 + 1394*l**3 - 2804*l**3.\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 39*a + 960. Let w be h(-53). Solve w = 10*o + 248 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149 - 300 + 146 + 7*p**3 to the form i*p**2 + a*p + h + q*p**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/112576 and 123\/7669240.\nAnswer: 61353920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2170.004 + 2181. What is y rounded to 1 decimal place?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230.5 + 249.5. Is l at least as big as 8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 22*p**2 + 9*p - 12. Is w(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-3 - 2) - (30 - 41). Suppose 0 = 4*w - 4*h - 8, -t*w + 6 = -2*w - 3*h. Sort 1, 14, w, -5 in decreasing order.\nAnswer: 14, 1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 35*d + 40*d = -3*h + 11, -39 = 5*h - 9*d for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 17. Let v be y(-2). Let s be 4\/(24\/v)*(-6)\/1. Calculate the greatest common factor of 24 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 0*q = -4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**34\/(k**(14\/9)*k) assuming k is positive.\nAnswer: k**(283\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34.649782 + 34.61. Let k = a + 0.0407. Round k to five decimal places.\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 17*z - 12*z - 7, 3*z = 6*r + 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - -6*(sqrt(304))**2) + (sqrt(57)\/sqrt(3) + sqrt(19) - sqrt(19))**2 + 0.\nAnswer: sqrt(19) + 1843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, f: 3, m: 1, o: 4, i: 1}. Give prob of sequence mo.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7870.\nAnswer: 2, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/674 or -1?\nAnswer: 17\/674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000060513472 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*156\/(-9). Is 13 a factor of z - (1*-2)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66199 and 932190?\nAnswer: 45677310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9984, 10396, 11084, 12048, 13288, 14804?\n\"Answer: 138*i**2 - 2*i + 9848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 37 = 31. Suppose 4*u + 2*y = 0, 2*u - 5*y + 15 = -3*u. Is (b + u)\/((-1)\/(-103)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c**3 + 6*c**2 - c - 5. Calculate x(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 4*z - g - 14, -2*g - 18 = -z. Suppose -11*l + z*l - 525 = 0. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2110, -2108, -2104, -2098?\n\"Answer: f**2 - f - 2110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2916204618+-0.5\nAnswer: 2916204617.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 24, 51, 112, 219, 384, 619?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(-32)*36*(-7440)\/6696?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 22. Give u(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = 2*p + 9, 2*i + 3*p + 13 = 0. Let k = 380 + -535. Let g be (i + k)*(-250)\/(-5). Round g to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6750)\/1575)\/((-5)\/14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvtv when four letters picked without replacement from ludpvutvtttpt?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 105800898?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwckkckwwcwkkwkk. What is prob of picking 1 w and 2 c?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1283*q = 1090*q - 14238 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*o - 5*o + 3*o)*(2 + 0 - 1) + 5*o - 4*o - 2*o)*(-2 - 1 - 1)*(-58 - 10 + 2)*(2*o - 2*o**2 - 8*o + 0*o).\nAnswer: -528*o**3 - 1584*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 8:10 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 300 = 6*g. Calculate the highest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 1075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-40)\/(-5) + 52091 + -1 + -10 + -5.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-94)\/6*(-2 - 1). Suppose 2*w = 5*t + g, 0*t - 18 = 2*t - w. Let u = -1 - t. What is the remainder when 27 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 6*k - 2*k + (3 + 0 + 3)*(2*k - 1 + 1) + 27*k - 2 - 1 - 25*k in the form i*k + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*x + 8, 177*z - 172*z - 4*x = 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 = -5. Find the second derivative of -159*c**4 - g*c + 159*c**4 + 6*c**5 wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/60)\/((-3)\/8). Let d = -1101 + 1100. What is the closest to d in -0.1, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-17)*j)\/j**(-5))\/(j*j**(-1))**(-1\/21) assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/459 and -155\/528228?\nAnswer: 8979876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**5\/5 + 1776*v**4\/5 + 3524*v**3\/5 - 5304*v**2\/5 = 0.\nAnswer: -442, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345743170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1579*z + 23. Let x(h) = 1. Let s(u) = -f(u) - 3*x(u). Is s(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 182*y - 1 - 2*y**3 - 31*y + 30*y - 68*y as q*y**3 + h*y + b*y**2 + u and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 40*g + 1. Let d be v(-20). Is -1\/734 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/(sqrt(96) - sqrt(6)))**2 - sqrt(11) - -2*-2*sqrt(11)) + -2*sqrt(1100)*2.\nAnswer: -45*sqrt(11) + 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 19*l**3 - 2*l - 2. Let o(d) = d + 1. Let i(y) = 55*y + 1267. Let j be i(-23). Give j*o(a) + u(a).\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - -0.45. Let h = 0.2 + k. Let q = 0.60001 - h. Round q to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - l**2 + 4*l - 4. Let j(i) = -i**2 + i - 1. Let f = 997 + -998. What is f*n(p) + 4*j(p)?\nAnswer: -2*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0521 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 115, 161, 207, 253?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -31?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - (-1185)\/295)\/((-3)\/(-3)). Sort -2, 3\/5, h, -0.04 in increasing order.\nAnswer: -2, -0.04, h, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {g: 4, v: 6, o: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -i - 3*u, 2*i + 0*i + 3*u = -20. Let f be (20\/(-6))\/(3 - (-28)\/(-12)). Let w = i - f. Let z(s) = -7*s. Determine z(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49134312 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and -1.2?\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z + 78. Let l be d(-7). Suppose 0 = -0*i + 4*i. Suppose 5*r - 519 = 3*a, 4*r = -i*r - 4*a + 428. What is the greatest common factor of r and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 83 + 87. Let h = w - -7\/5. Which is smaller: 22\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*m = -2, -2*m - 2 = -5*a + 8. Suppose -14 = -a*w + 2*p, 6*w - p - 23 = w. Is w\/(-16) - (-81)\/4 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 380 - 379. What is the second smallest value in -2\/17, 10, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-14)\/(-32)*4 + -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3 = 8196*b - 8194*b, b - 2*y = 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8907*h**2. Let q(o) = -521*o**2. Calculate q(l(c)).\nAnswer: -41333352129*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 2. Which is the third smallest value? (a) i (b) 4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - -6. Suppose i - 6*k + 12 = -k, 3*i - k = x. What is the smallest common multiple of 18 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 25) + -18 + (5 + -4 - -22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfir when four letters picked without replacement from {r: 2, t: 1, f: 8, i: 4}.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -62470\/7 at most as big as -8924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 3:15 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 153675 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 - 0.41. Let h = -2.8 + 2. Let p = o - h. What is the third biggest value in 1, -1\/7, p?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -5, -0.1, 1, -2\/9, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/20 + 15\/4. Suppose h*j + 46 = 6*j. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 201?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 111.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 404*v - 5. What is d(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 6*m + 158. Let p be a(-15). Solve -4*h = o - p + 6, -2*o = 4*h - 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, v: 3, x: 1, q: 3}. Give prob of sequence vvx.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 407268 - 407264. Suppose 0*h - 4*h - 4 = 0, l + h = -3. Which is the nearest to 0? (a) -5 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (41 + -53 + 25)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.18, 0.06, -5 in increasing order.\nAnswer: -5.18, -5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, 0.037, 4.5803, -2 in ascending order.\nAnswer: -2, -0.1, 0, 0.037, 4.5803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.019195 and -0.07?\nAnswer: 0.050805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 - r**2 + 2*r - 9. Is 6 a factor of y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5012 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: Suppose -5*w = -2*l - 30, -3*l = -11*w + 10*w + 6. Solve -1 = a - w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59267 by -97.\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 22 = -j. Suppose -2 + 5 = -m, -m + 38 = x. Calculate the remainder when x is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110111110011110110001 + 1111?\nAnswer: -101110111110011110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 501 and 28547481.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 6. Let l be v(6). Let g = l + 5. Calculate the lowest common multiple of g and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -82 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 507\/(-91) + 6\/(-14). Let j(m) be the third derivative of -m**5\/60 - 3*m**4\/8 - 2*m**3\/3 - m**2. What are the prime factors of j(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 3:57 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/85)\/(45*20\/33000).\nAnswer: -88\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, x: 9}. What is prob of picking 2 c and 1 x?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 554 + -560. Sort -5, 1, 0, l in increasing order.\nAnswer: l, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15349*y**4 + 2*y**3 - 483426*y.\nAnswer: 184188*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2 - 15768*a - 27712944 = 0. Calculate a.\nAnswer: -1596, 17364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2425*t**2\/6 - 5*t\/6.\nAnswer: -5*t*(485*t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5232832 plus 4093022?\nAnswer: -1139810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*r = -1, -4*r = -32*m + 33*m - 14. Solve 3*v - 2*v = s + m, -3*v + 6 = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2299 divided by 121.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14300 or 14303?\nAnswer: 14303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2448)\/1026 - (-1)\/19 - (-3875)\/1581?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t + 547*t**2 + 8*t + 280*t**2 - 2*t as r + q*t**2 + v*t and give q.\nAnswer: 827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 20. Let n be g\/(-21) + 644\/49. Solve -4*l**4 + n*l**3 - 5*l**3 - 4*l - l**2 + 5*l**2 - 4*l**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2361*i + 52525. What is b(-22)?\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-75) + 18*6\/(-10). Let d = l - -161. Is d a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203322131 - 1301?\nAnswer: 203320230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2193 and 156?\nAnswer: 114036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, u: 1, s: 1, e: 1}. What is prob of sequence hs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.49203 to 3 decimal places.\nAnswer: -0.492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -41*a + 29 - 106. Let m(w) = -2*w**2 + 20*w + 7. Let r(o) = 2*o**2 - 19*o - 6. Calculate a*m(v) - 6*r(v).\nAnswer: -2*v**2 + 14*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 255*u**2 + 414 wrt u.\nAnswer: 510*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 5*y + 25, -4*y + 20 = -w - 0*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -424*z + 75*z - 11 + 9 + 3 + 3 to s*z + h and give s.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232000582.\nAnswer: 2, 11, 37, 257, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 402289?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 4:20 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/10 + -2 + -4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -12, 4, 0 in increasing order.\nAnswer: -12, -5, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150910 is divided by 3768?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19\/3 - -6. Which is the nearest to 0.1? (a) -2\/7 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**4\/3 + 5*j. Let v(d) = 374*d**2 - 78*d**2 - 77*d**2 - 77*d**2 - 62*d**2 - 61*d**2. Determine s(v(i)).\nAnswer: -1444*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38047*c + 114544*c - 38545*c - 4*c**2 - 37952*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -11. Let l be (-15)\/i*(1 + 1). Sort l, 0, 5 in ascending order.\nAnswer: l, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -332.76?\nAnswer: -332.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225 or -0.1?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 2\/11, -7\/2, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t. Let v(n) = n**3 + n**2 + n. Let y(k) = 5*k**3 + 2*k**2 + 10*k. Let w = 78 + -82. Let l(u) = w*v(u) + y(u). Calculate -6*h(i) + l(i).\nAnswer: i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1502987265 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 2. Solve d = n - 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300.142814 rounded to the nearest 10?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 10. Let s be r(6). Suppose -s*c + 2 = -16. Suppose x - 18 = -c. Solve -x*b + 12 = -6*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16555368.\nAnswer: 2, 3, 689807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 72, -5 in decreasing order.\nAnswer: 72, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 y when four letters picked without replacement from uyqumuyyuuumyqn?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**4 - 50 + 66*m**5 + m**2 - 2*m**4 + 50 - 54*m wrt m?\nAnswer: 3960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/4*(-6)\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -3. Suppose -5*k - 5*u = -20, -4*k - u + 12 = -4. Which is the third biggest value? (a) 3 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w - n - 408 = -41*w, -510 = -5*w - 2*n. Suppose 15*l + 27 - w = 0. Solve -o - l*k + 6 - 26 = 0, -12 = o + 3*k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4528.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3826357 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*y + 50, 2*q - 3*y + 12 - 7 = 0. Suppose -4*a - 2*x - 12 - 4 = 0, 0 = -5*a + x - 6. Sort 1, q, 3, a in descending order.\nAnswer: q, 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -3 (b) 1\/4 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -132559 divided by 754\nAnswer: -4571\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 19. Let q = n - -12. Suppose 4*s + 11 = -3*r - 1, 5*r + 5*s + 15 = 0. Which is the closest to r? (a) -2 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103478492 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Suppose o = 4*i - i - 99. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2464082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 3*r**2 - 4*r**2)*(-5 + 14 + 79).\nAnswer: -88*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.831674 rounded to two decimal places?\nAnswer: -137.83","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -4418 - -4431. Solve 15*n - b*n = 4*v - 8, -4*n = v - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 8:43 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*p + 3*p. Let w be p*-26*(-3)\/6. Calculate the greatest common factor of w and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:08 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288 divided by 7?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u**(5\/8)\/u*u)))\/(u**(-14)*u))**17)**(-2\/51) assuming u is positive.\nAnswer: u**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 16, 27, 54, 103, 180, 291?\n\"Answer: m**3 - m**2 - 3*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by 223?\nAnswer: 44\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/11940 and 13\/119997.\nAnswer: 2399940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 5*d**4\/12 + 85*d**3\/2 + 125*d**2 - 3*d - 39. Factor s(j).\nAnswer: 5*(j + 1)*(j + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.5, 0.46, -0.2?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o**2 - 2*o - 2. Let m(y) be the third derivative of -7*y**5\/20 + y**4\/8 + 2*y**3\/3 + 2*y**2. Let i(u) = -14*k(u) - 6*m(u). Factor i(c).\nAnswer: -2*(c - 1)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 - -2.23. Let h = -8.13 + l. What is the second smallest value in 0, -2\/7, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1352\/(-224) - -6)*-4. Let q = 138.831 + 0.169. Sort q, w, -1.\nAnswer: -1, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-3 - 1) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*m - 24 = 0, -2*m = -2*t + 4*t + 8. Let j be -2 + 2 - 4\/t. Which is bigger: -5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101656*f**3 + 43 - 71 + 28.\nAnswer: -101656*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 25, 27, 47, 91?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6720 and 8400?\nAnswer: 33600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128274 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3767278 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c + 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 divided by 35469?\nAnswer: -212\/35469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -329*h**3\/3 + h**2 - 5*h + 294. What is the second derivative of b(m) wrt m?\nAnswer: -658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 3863*k + 11592. Give v(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**4\/3 + 968143*t**3\/3 + 6777046*t**2\/3 + 3872612*t\/3 - 3872600 = 0?\nAnswer: -6, -2, 1, 968150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 434 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 95. Let h = -75 - t. Let b = -44 + 44. Sort -1, 3\/2, b, h in decreasing order.\nAnswer: h, 3\/2, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**2 - 18*w**2 + 64*w**2 - 25*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 151157 to the power of 1\/2, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6551915 divided by -1?\nAnswer: -6551915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (12 - (-30 - -27))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 90, -2.1, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -206926.19884 rounded to the nearest one thousand?\nAnswer: -207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 8:38 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -393475*i**3 - i + 85117 wrt i.\nAnswer: -2360850*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 366*z**2 + 27*z + 2. What is the thousands digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 8. Let g(h) = -h - 2. Let y(m) = a(m) + g(m). Let s = -8 - -13. Determine y(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 395*x + 394. Determine r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(2\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3, 0.2, 7\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from {q: 1, y: 1, t: 13}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 266.2 + -266.22834. Round c to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*1.17476\nAnswer: 0.469904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 88*r - 223 + 31*r - 126*r + 73*r + 223. Let w(n) = 0 + 0 + 4*n. Calculate w(s(t)).\nAnswer: 264*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 12:53 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(304) + (sqrt(304) + -2 + sqrt(304) - sqrt(304))) + 1*sqrt(304)*-2)**2*-3*6.\nAnswer: -1075104 + 24192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 30*m + 24. Give o(29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.034 - 0.546. Let l = -3.28 - m. Let o = l - -2.1. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*k - 10984705, -39*h + 40*h = 4*k + 2196917. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2339, 2322, 2297, 2258, 2199, 2114, 1997?\n\"Answer: -a**3 + 2*a**2 - 16*a + 2354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 2 + 0*n**2 + n + 0*n - 1. Let c be x(-3). Solve -17 = c*q - 5*t - 57, -5*q - 4*t + 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51351 divided by 2.\nAnswer: -51351\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 19 - 31. Suppose -5*j - 3*v + 157 = 0, 2*j - 4*v = y*j - 60. What is the smallest common multiple of j and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + a + 37 = 0, -g + 46 = -a - 52 + 97 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) - (-1133)\/(-309). Let l(y) = -y**3 + 5*y**2 + y - 6. Let f be l(5). Put f, r, 3 in ascending order.\nAnswer: r, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 22*k**3 - 19*k**3 - 2*k**2.\nAnswer: 3*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776902243.\nAnswer: 13, 239, 250049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 119, 402, 943, 1826, 3135, 4954?\nAnswer: 7367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -13*k - 69 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m - 2. Let f be s(3). Let z = -24 - f. Calculate the greatest common divisor of z and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/8)*j)\/j**(-37)*j**(1\/40)*j**10)**(-18) assuming j is positive.\nAnswer: j**(-8577\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 19. Let k be h(10). Which is the second smallest value? (a) 0 (b) k (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k**3*s*v + 791*k**3*s + 60468*k**2*s**2 - 96030450*k*s**2*v wrt v?\nAnswer: 3*k**3*s - 96030450*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11110122 + -21200202?\nAnswer: -110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10618?\nAnswer: 2, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -11568\nAnswer: -3\/3856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 316 - 184. What is the lowest common multiple of l and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 6927.\nAnswer: 48489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - x - 4. Let l(t) be the second derivative of -t**4\/4 + t**3\/2 + 15*t**2\/2 - 2*t. Let z(s) = 4*l(s) + 15*p(s). Solve z(q) = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -10 + 7 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sssxsssjjsssss?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 - 3*p**2 + 3*p**2 + (56*p + 14*p - 13*p)*(5*p**3 - 3*p**3 - p**3) to l*p**4 + o*p**3 + j*p**2 + i + g*p and give l.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**3 + 613*f**2 - 29889*f + 233. Calculate p(-245).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - -4*sqrt(104)*-3 - sqrt(104))*-5)\/(sqrt(40)\/(sqrt(20)\/sqrt(4)) + -1*sqrt(200))*-1.\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 253638*o**2 - 17 - 10 - 253642*o**2 + 0*o.\nAnswer: -4*o**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523774?\nAnswer: 2, 261887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -181 divided by -22980\nAnswer: 181\/22980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -40*l - 127. Let z(k) = -62*k - 193. Let q(h) = 11*b(h) - 7*z(h). Let f = -8 - 0. Let o be q(f). Solve 2*v + o = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 3:56 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 179.7 * -30.\nAnswer: -5391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y**4 - 2*y**3 + 14*y**4 + 22*y**4 - 49*y**4 - 1 in the form p*y**2 + d*y + g*y**3 + x*y**4 + h and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -29, 2\/13, 6 in descending order.\nAnswer: 6, 2\/13, -1\/3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 179, 806, 1859, 3344, 5267, 7634?\n\"Answer: s**3 + 207*s**2 - s - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10202707*f**5 + 2670160*f + 1.\nAnswer: 204054140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 88\/(-14) - (-2)\/7. Let i(a) = -a**2 - 8*a - 2. Let s be i(d). Solve -35 = -4*l - 0*t + 3*t, -s = -3*l - t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3*o + 2*d + 196 = 0, 3*o + 4*d = 220. Suppose 72 = 72*l - o*l. Let z = l + -8. Calculate the smallest common multiple of z and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115495691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3 - 4*b**2 + 4*b = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17075322 plus 123?\nAnswer: -17075199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 177315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75325573\/1353 + 55673. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101396284303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-6))\/(-1))\/((949\/195)\/(-73)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**2 + 0 - 31\/15*w**6 + 1\/42*w**7 + 0*w**5 - 17\/2*w**3 + 113*w + 0*w**4. What is the second derivative of x(a) wrt a?\nAnswer: 20*a**3 - 744*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 18. Solve 0 = 5*h - 6 - s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14697754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 13 = w, t = -5*w - 61 - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 - -9*(-2864)\/176?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -339, -32, 6 in decreasing order.\nAnswer: 6, -32, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 513*z - 8166148 + 8177434 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10060.721 - 0.039.\nAnswer: -10060.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 + 200*m\/7 - 202\/7.\nAnswer: 2*(m - 1)*(m + 101)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 7 = -2*b + 6*y, -2*y + 8 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 7 + 18. Suppose -f*b - 1531 - 699 = 0. Let u = b + 9368\/21. Is u at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28785 by -4123.\nAnswer: 1515\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 33*4\/(-6). Suppose 5*j + y = 5*q, j = -q + 4*q - 11. Suppose 105 = 3*r + 5*p, r - q*p = -10 + 59. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.2, -0.1, 18, 4, 1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4 + 9752*l**3 - 680042*l**2 + 11709760*l = 0.\nAnswer: -4945, 0, 32, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4302362 to the power of 1\/2, to the nearest integer?\nAnswer: 2074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168562 is divided by 6261?\nAnswer: 5776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -792 + 1711. Let s = b + -961.82. Let x = -43 - s. What is x rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 156\/6)\/((-2)\/(-635)). What is f rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.34*-3731852\nAnswer: 5000681.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 12*a**2 - 12*a - 11. Let z(d) = -d**2 - 4*d - 6. Let k be z(-5). Let o be r(k). Solve -8 = 4*j - o*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**4 + 15*h**3 + 6*h**2 - 24*h = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 + 42 = 0. Calculate the common denominator of (1\/6)\/((-24)\/(-477)) and -1 - (-1 - (-59)\/s).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18456 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 719858597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**4\/4 + a**3 + a**2\/2 - 5. Let w be z(3). Let m(k) = 0*k + 0 + k**2 - 4 - 3 + w*k. Give m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1428939, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 10*d. Give u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 0.03 (b) -25 (c) -1 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, -9, -10?\n\"Answer: -m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019205 times 4?\nAnswer: -0.07682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(294)\/sqrt(2) + 1.\nAnswer: 1 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -33. Suppose 9*i = v*i. Factor -1\/4*m**5 + i*m + 1\/4*m**2 - 3\/4*m**3 + 3\/4*m**4 + 0.\nAnswer: -m**2*(m - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -28*y + 6. Let n(w) = 561*w - 121. Determine 121*b(z) + 6*n(z).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -11, -5, -6 in descending order.\nAnswer: -1, -4, -5, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*u + 35*u + 2021*u**2.\nAnswer: 2021*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 - 4. Let z = -4.4 + -0.6. Which is the second biggest value? (a) v (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 12 = -5*c, 4*s - 319 = -c. What is the highest common factor of 54 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in 0.3, 0, 390.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**4\/3 - 30*d**3 - 175*d**2 - 1160*d\/3 - 240 = 0.\nAnswer: -9, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-2 - -5) + (-5 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 50e?\nAnswer: -50c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.289985 rounded to three decimal places?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*y + 202 = 2*h, -90 = -2*h + 3*y. Suppose 0 = 4*c + 16 - h. Solve 3*v - c = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 11*c + 11*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12384, 22773, 33150, 43509, 53844, 64149, 74418, 84645?\nAnswer: 94824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**4 + 14130*k**3 - 10053065*k**2 + 98968320*k + 109035520 = 0.\nAnswer: -1, 11, 1408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -2, 5, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from ccxxcxhcccccxc?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -192824*i**3*r**3 - i**3*r**2 + 1745*i**3*r + 33*i*r - 2*r - 2 wrt r.\nAnswer: -1156944*i**3*r - 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c be -162*2\/4*-3. Let x = -90 + 117. What is the highest common divisor of x and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220 divided by 4.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 9*h**2 + 10*h - 1. Calculate d(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 464 - 287. Let i = -103 + r. Suppose l - 52 = i. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 7*s**4\/8 - 4833*s**2. Let t(d) = -84*d. Determine 2*t(u) + 9*w(u).\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -28, -28, -38, -64, -112, -188?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3160109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7803, 32424, 73473, 130962, 204903, 295308?\n\"Answer: 2*f**3 + 8202*f**2 + f - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 92758 * -3\nAnswer: -278274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(360\/(-32)))\/(4\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6399 * -631\nAnswer: -4037769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*((-5)\/20)\/(-1). Let q(i) be the second derivative of 2\/3*i**4 + 0 + 0*i**3 + f*i**5 + 0*i**2 + i. What is the third derivative of q(x) wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110110011 (base 2) in base 3?\nAnswer: 2201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495944 to the power of 1\/2, to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-600*o + 110*o + 29*o)*(-o**4 + o**2 - o**2).\nAnswer: 461*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 17*i - 1. Let v be g(-1). Is v less than or equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1140, 1127, 1114, 1101?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -38*x - 175. Give b(-3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14848 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-7) + (-33)\/(-7). Let c = 13 + u. Let p = -15 - -68. What is the remainder when p is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 563, 2387, 5419, 9653, 15083, 21703, 29507, 38489?\n\"Answer: -d**3 + 610*d**2 + d - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/30*5 + 13\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 4*v - 3. Let f be h(-3). Suppose 3*a - m - 297527 = -24522, f = 3*a + 2*m - 272990. What is a rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2955*r**3 + 15 - 15 - 2952*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -385 - 14679*y**2 + 147*y**3 - 2288 + 7570*y + 4931*y.\nAnswer: 3*(y - 99)*(7*y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32.07 + 0.07. Let m = -18 - l. Let i = m + -14.02. What is i rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)*f*f\/f**(1\/5))**(-8\/21) assuming f is positive.\nAnswer: f**(-16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - -43 - (2415 + -2401)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-1)\/2)\/(27\/66)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36423 - 36422.999968251. What is n rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2, 4*s + 5*i - 228 = 406. Which is greater: s or 1394\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let y be (-6)\/((2 - 1)*1). Let t be v(y). Does 7 divide ((-44)\/t)\/(4\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 13. Do a and -24\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/30 + d**4\/8 - d**2. Let i be ((-4)\/12*-9)\/((-3)\/2). Calculate the remainder when 2 is divided by f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.976 + -28. Let c = m - 0.076. Sort -2, -3, 0.4, c in ascending order.\nAnswer: -3, -2, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/14)\/(2\/(-14)). Let p = -3 - c. Let f(z) = 4*z + 0*z**3 - 1 - 3*z**3 + 4*z**3 - 244*z**2 + 240*z**2. Determine f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*n**3\/4 + 231945*n**2\/4 - 463863*n\/4 + 231927\/4.\nAnswer: -3*(n - 1)**2*(3*n - 77309)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q, -2*d + 3500 = 3*q - 2*q. Let r = d - 17609\/10. What is the common denominator of (-8)\/(-11)*7\/(-2) and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1288635885 divided by 5?\nAnswer: -257727177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1095*s - 20. Let t(r) = 730*r + 14. Determine -5*f(h) - 7*t(h).\nAnswer: 365*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -792*i**5\/5 + 5*i**2\/2 - 6580*i - 9899. Find the first derivative of d(a) wrt a.\nAnswer: -3168*a**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1848)\/(-48) - 34)*(-2 + 470\/45)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*m = 50*m - 99*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7640 = 3*l - n, 6*l + 5*n = 3*l + 7664. List the prime factors of l.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 23 = q - 2*q, 5*v - 75 = -3*q. Suppose 5*j = 3*j + v. Factor -1 + 8*b**4 - 63*b**2 + 75*b**3 + 7 - 35*b**4 + j*b.\nAnswer: -3*(b - 1)**3*(9*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/21787, -1\/2, 0.2, 16, 1?\nAnswer: -1\/21787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, 21, 30, 43?\n\"Answer: 2*u**2 - u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-561))\/(5\/6).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.001 (c) -273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (10 - (20 + -16)) - -104?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7)*((t\/t**(8\/3))\/t*t)\/t assuming t is positive.\nAnswer: t**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-3)*((-2 - 24) + 3) and 51\/13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {j: 2, r: 10}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -8. Let u be 1\/(11\/9 - 8\/36). Calculate the remainder when u - -61 - (-3 - -5) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {b: 10, g: 1, w: 4, o: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*s - 252 = 0, -2*s - 124 = -u - u. Suppose 4*b + 5*v - u = 0, -4*b + v + 72 + 6 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1069*a - 26672. What is x(25)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 735391 and -4126.61477?\nAnswer: 739517.61477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -7\/2*p**2 - 1\/3*p**3 + 5*p - 4. Let j be b(-7). Solve -z = -6*z + j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/10 - (-4 + 9 + -4). What is the closest to y in -5, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q**2 + 22*q + 7. Let c be w(3). Put 1, 2\/3, 0, c, 0.3 in descending order.\nAnswer: 1, 2\/3, 0.3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + (1346 - 1326).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 5*j + 16. Suppose 2*m - 7 = 7. Let p be g(m). Suppose 3*w - 41 = 4*h, p*w - w - 3 = -4*h. Calculate the greatest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.56 and 63.\nAnswer: 57.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 2*k = -147 - 821, 4*p + 0*k - 12098 = 4*k - 12242 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269566451 to the nearest integer?\nAnswer: 16418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*q - 6 = 102*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 3*d + 595. Let x = d - 84. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 9932*p + 14427555. Determine a(-1767).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 84, 523, 1316, 2463, 3964, 5819, 8028?\n\"Answer: 177*s**2 - 92*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**6\/120 - f**5\/15 - f**4\/4 - f**3\/6 + 3*f**2\/2 + 2. Let p(v) be the second derivative of b(v). Calculate p(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9 plus 34617?\nAnswer: 34606.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 106\/(-10)*(-7 - -2). Let w = 148 - x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -865 times 676\nAnswer: -584740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 14*g**2 - 13*g.\nAnswer: -g*(g - 13)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.792955 to 2 decimal places.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-20))\/(14\/10 - 0). What is the nearest to a in -0.1, 2, -32\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -656 - -657. Let h be (-4)\/(-2) - (-6)\/(-3). Which is the third biggest value? (a) 3\/10 (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2033416.\nAnswer: 2, 7, 11, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = 3*c - 8, -4*i + 12 = 4*c. Let n be 0 + (-16)\/(6 - 2). Suppose 1 = 2*v - 3, 3*o - 4*v = -2. Sort o, c, n.\nAnswer: n, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-18)\/(-14))\/(28\/(-34)). Let x = -3713\/392 + t. Calculate the common denominator of -15\/4 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5010, 9993, 14956, 19899, 24822, 29725?\n\"Answer: -10*v**2 + 5013*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/2 and 71\/274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -10. Suppose -86 = -3*q - 4*n + 3*n, -3*n - 66 = -a*q. Calculate the remainder when q is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((128\/40)\/1)\/(((-924)\/(-70))\/3)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 4272.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/22*(-8)\/(-48)*-1. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0292116 to 3 decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -389 - -996. Suppose -5*i - m + 3471 + u = 0, 4*i - 5*m - 3274 = 0. Suppose -11*d + 163 + i = 0. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*s - 2*h - 12, -5*h = 5*s + 20. Suppose -7*m + 91 - 21 = s. Calculate the highest common factor of m and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70078\/1939 or 37?\nAnswer: 70078\/1939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 78277527 divided by -8697503?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43137 (base 13) to base 3.\nAnswer: 20011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3371558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 75, 142, 235, 354, 499, 670?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -2*n + 4*s, -4*n + 145*s - 150*s - 30 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-16)*(-6)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -13*r + 0*r**2 - 2 + 0*r**3 + 5\/6*r**4. Let s(w) be the third derivative of w**5\/30 - w**2. Give f(s(c)).\nAnswer: 40*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1897452328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/171 and 68\/327465.\nAnswer: 327465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11570\/33, -0.2, 346?\nAnswer: 11570\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 15 = 5*z + 2*b, 5*z + 5*b + 25 = 0. What is the units digit of 392\/(-2)*z\/16*16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by (-85)\/595 + (-1052)\/(-14)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 57. Let y = 52 + p. Suppose -109 - y = -5*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from kckccnnkccccckkc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/240*-10*(-2)\/(-4). Is v greater than -10\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1088, 1084, 1080?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5446028 rounded to the nearest 100000?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (12 - 26) + 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 1917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from {b: 1, v: 1, g: 1, o: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x + 0*x + 0 - 5 + 0. Does 5 divide b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 3*u - 2*u)*(-2 + 1 + 2).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/7 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:52 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1045, -566, -87?\n\"Answer: 479*n - 1524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.8 smaller than 38.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 204 = 123*u - 94*u, 5*h - 12 = u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 761*n - 5084*n + 3*n - 116968 - 60152 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 108*j - 6675. Determine r(-44).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 4*f**2 - 13 + 2*f + 3*f**2 + 2*f**4 - f**3 to y*f + w*f**3 + z + i*f**4 + v*f**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 6*p + 2*p)*(1 + 1 - 3)*(-3*p**3 + 36*p**4 - 22*p**4 + 3*p**4).\nAnswer: 51*p**5 - 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -532*d**2 + 0*d**3 + 264*d**2 + d**3 + 269*d**2 + 2 + d**4 - 6*d to the form g*d + y*d**2 + i + t*d**4 + m*d**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d. Let c(w) = -153*w + 67. Let q(a) = -c(a) + 3*u(a). What is the first derivative of q(t) wrt t?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/5*(-7 + 2). Suppose 0 = 4*g + q - 14. Find the second derivative of -2*r + 2 + 3*r**g - r - 2 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 3 - 2*j)*(j - j - j**2 + (2*j + 0*j - j)*(-j - 2*j + j) - 2*j**2 + j**2 + 2*j**2) + (4 + 0 - 1)*(-3*j + 6*j**3 + 3*j).\nAnswer: 22*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c. Suppose 0 = o + y - 13, 19 + 34 = 4*o + 5*y. Suppose c = f + 6 - o. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3810643 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.6842 + 0.3158. What is the nearest to -53 in -3, 1, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4)*(4 - 10 - 2)*(14*m + m + 0*m).\nAnswer: -480*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -21. Let l(b) = 2*b**2 - 18*b + 52. Let d be l(4). Let y(v) = -3*v + 44. Let j be y(d). Calculate the greatest common factor of j and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3 + 362914*i**2 - 32918657289*i - 1449123607404 = 0.\nAnswer: -44, 181479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -18 (b) -2 (c) 0.172 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 338722393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 7)\/(-1*6\/396). What is the units digit of b\/(-1) + (-1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*q + 2660594 - 611778 = -14*q. List the prime factors of q.\nAnswer: 2, 7, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2089947677 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -30*(2 - (-3 - -4)). Let n = q + 30. Suppose 0 = 5*g - 5*k + k - 13, n = -g + 4*k - 7. Solve 2*d = g*x + 15, 2 = 3*x - 0*x + d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 16*v**2 - 37*v - 10. Let o be l(-18). Suppose -k - o = -5*k. Find the second derivative of -8*s + 23*s**2 + 28*s**2 - 65*s**k wrt s.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(4\/15)\/(w**(-1\/2))**(-10\/7) assuming w is positive.\nAnswer: w**(-47\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 51 - 45. Let f be (1 + -3)*(-2)\/2. Solve 4*o = -5*d + 15, 0 = 4*d + f*o - 6*o + h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -238201665*n**5 + 74025194*n - 1.\nAnswer: -4764033300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhtt when four letters picked without replacement from xxexyttyyxhxyhxx?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0)*0\/(-5). Suppose -2*i - 3*t + 4 = 0, b = -2*i + i - 3*t + 2. Which is smaller: i or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 194581, 194376, 194023, 193516, 192849, 192016, 191011?\n\"Answer: -m**3 - 68*m**2 + 6*m + 194644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 8:46 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Let k(x) be the first derivative of x**3\/3 - x - 3. What is k(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -683 - 562. Let a = 1922 + i. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r - 335 = -43*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 277*c**5\/5 + c**2 - 17*c - 180. Find the second derivative of w(m) wrt m.\nAnswer: 3324*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246962228?\nAnswer: 2, 19, 137, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 77*f**3 + 431*f**2 - 355*f.\nAnswer: f*(f - 71)*(f - 5)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 157. What is the least common multiple of j and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*t - 11151 + 4158 = 0 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqpqiiqippqqqqipqqqp. What is prob of sequence qiqq?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 29*j - 7. Let x = -64 + 73. Suppose 16*s - 17 = 4*n + 17*s, 0 = 3*n + 3*s + 15. Let v(u) = 14*u - 3. Give n*h(y) + x*v(y).\nAnswer: 10*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 21 = -5*x + 3*h, 5*x - h = 5. What is the fourth biggest value in 24, -2, x, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 18*s**3 - 2*s**2 + 26*s - 9. What is the tens digit of f(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 145332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 - 71. Suppose 7*j - o = -19. Let d(y) = y**3 + y**2 + 2*y + 5. Let c be d(0). Solve t + j*x = -15, c*t - 30 = -2*x + 3*x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 56cc9?\nAnswer: -56cd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 9 + 3)*(2 - 2 + 1)*(5*p - 5*p - p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**4\/4 - 11*t**3\/3 - 5*t**2\/2 - 69*t + 3450. What is r(-11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.452452106 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j - 10. Let d be g(4). Let -d - 1\/2*c**3 + 3\/2*c**2 + 0*c = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 16 + 9. Let m be ((-27)\/(-45))\/((-1)\/r). Find the first derivative of 1 + 7 - 139*l**m - 4 + 145*l**3 wrt l.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -14.6 (c) 19 (d) -0.2 (e) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, 0.9, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t + 3. Let m(w) = w - 3. Let c(p) = 6*p - 16. Let x(s) = 2*c(s) - 11*m(s). Let i = -24 + 20. Let z be (1\/4)\/(i\/(-48)). What is z*x(q) - y(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 8:20 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from caccdadc. Give prob of picking 1 c, 2 d, and 1 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 2. Let f = 223 + -226. Let w(v) = 2*v - 2. Determine f*o(g) - 2*w(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29150, 30910, 33868, 38042, 43450, 50110?\nAnswer: 58040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) - 565\/(-20). Suppose z + 3*z - i = 5*d, -2*d - 4*z - 28 = 0. Let p be 6\/d*-2*2. Solve 23 - p = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-3 + 3 + a + (-1 - 1 + 0)*(-4*a + 0*a + 2*a))*(-84040 + 66*a**4 + 2*a**2 + 84040).\nAnswer: -660*a**5 - 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1, -158, 0, 0.5 in decreasing order.\nAnswer: 0.5, 0, -1\/3, -1, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -83. Calculate the least common multiple of v and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -77*d - 3988. Let c be f(-52). Solve k + 4*m + c = 0, k = -17*m + 20*m + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 1, e: 5, x: 5, o: 5, p: 2}. What is prob of picking 1 h and 1 x?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 - -88. Which is the nearest to 1\/2? (a) 22\/9 (b) 2\/17 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701*d + 626*d - 315*d + 225*d.\nAnswer: 1237*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o. Let w(v) = -1. Let z(f) = 3 - 111*f - f**2 + 111*f. Suppose s = -2*s + 3. Let i(t) = s*z(t) + 3*w(t). What is d(i(h))?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z + 1. Let g(p) = 5*p + 1. Suppose 4 = 4*j, 0*d + 2*j - 20 = 3*d. Suppose -10*l + 24 = -6*l. Suppose -l*m + 5*m = -7. Calculate d*x(w) + m*g(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + 1 + sqrt(2) + -4.\nAnswer: -10 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78990273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 2*i + 0*i + (-1 - 2 + 10)*(3*i - 4*i + 2*i) - 1 - i + 6*i - 4*i to k*i + c and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23811 and -0.4146.\nAnswer: 23810.5854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201393 is divided by 2798.\nAnswer: 2735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:14 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(7\/((-7)\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14430013 + -4?\nAnswer: -14430022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*w - 30. Let t(u) = 2*u**2 + u**2 - 4 - 2*u**2 + u**2 - w*u. What is t(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.065?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 3497, -2, 1.\nAnswer: -2, -1, 0, 1, 3497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170 - -175. Let i be 22\/121 - (-22558)\/(-22308). Let s = i + -2\/507. What is the biggest value in 2\/7, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, t: 4, m: 6}. Give prob of sequence mm.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/33*30\/4. Let p(h) = -6. Let g(i) = i + 10. Let k(t) = v*p(t) + 3*g(t). Calculate k(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-10) + 3 - 2\/6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from nxbjjbxbjibjbjjj.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 10:58 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2437*h + 15156 - 16906 = -72*h + 78538 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -12*h - 0*h + 29 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - q**2 - 7153*q**3 + 7150*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 221844?\nAnswer: -221844.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/23 (b) -5072 (c) 0 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.5746 months in decades?\nAnswer: 0.821455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-485*a + 376*a - 464*a).\nAnswer: -1146*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12, -4, 5, -10.\nAnswer: -12, -10, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -14*p**3 + 8*p**2 - 8. Let u(v) = -2*v**3 - 2*v - 1. Let f(c) = c**3 + 5*c**2 + 10*c. Let h(w) = -f(w) - 5*u(w). Determine 5*b(o) + 8*h(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - sqrt(240)*1)\/(sqrt(1200)*-2)*1 + 2 + -4*(sqrt(405) + (1*sqrt(405))**2 + -3).\nAnswer: -1606 - 719*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*y**4)*(1 + 0 + 0 - 1 - 1 + 3 + 3 - 2 + 0 + (0 + 0 + 1)*(-1 + 1 - 1) + 3 - 4 + 2 + 0 - 1 + 3) + 5*y**4 - 2*y**4 - y**4.\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1342 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04728 rounded to three dps?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - 4*n**2 + 3*n - 3. Calculate q(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/533 + -1036\/7995. Let z be (3\/2)\/((-117)\/(-17472)). Let n be (-5)\/(52\/14 + 64\/z). Which is the closest to -2\/5? (a) 1 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22288, -21853, -21090, -19999, -18580, -16833, -14758?\nAnswer: -12355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2085 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/21*((-3458)\/390)\/(-19).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 - -4) + (141 + -3 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*m**5\/5 + 16464*m**4 + 61668*m**3\/5 + 15411*m**2\/5 + 1284*m\/5 = 0 for m.\nAnswer: -428, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + (0 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 10:24 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((2\/2)\/((-9)\/45*5)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38301 = 1316*l + 2495 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - 3*f**3 - 3*f**4 + (-1 + 1 - 2*f)*(f**3 - 4 + 4).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-68)\/17 - -1) + 6530.\nAnswer: 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -7. Let j be (-4)\/(-10) + 17\/(-5). Let b be ((-2)\/3)\/(c\/j). Solve -b*a = -4 + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 9*y + 7*y + 63)*(1 + 1 + 2*y**3 - 4*y**3).\nAnswer: 2*y**4 - 126*y**3 - 2*y + 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, h: 3, p: 2, v: 1}. What is prob of sequence yh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3))**(3\/7)*q**0\/((q*q*q\/(q*(q*q**(4\/7)*q)\/q))\/q) assuming q is positive.\nAnswer: q**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 1. Let t = l + -4. Find the third derivative of 0*q**5 - 23*q**2 - 6*q**t + 28*q**2 wrt q.\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-99)\/88)\/(-9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/15)\/(3036\/275 + -11). Put 304, -0.2, 0.1, n in descending order.\nAnswer: 304, n, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b**3 - 24*b**2 + 96*b - 133. Let f(y) = 6*y**3 - 24*y**2 + 96*y - 132. Let c(k) = 5*f(k) - 4*g(k). Solve c(z) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -117328, -234747, -352166, -469585?\n\"Answer: -117419*z + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16985 + 985089\/58. Find the common denominator of -19\/4 and m.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/3*n + 10\/3*n**2 + 0 + 2\/3*n**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-86)\/(-16) - 33\/88. Let u(f) = -2 + 2 - 103*f - 1 + h. Let s be u(3). What is s rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259582 is divided by 23595.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36568 and 3416.\nAnswer: 2230648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24\/113 or -1?\nAnswer: -24\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.53, 0.4, 5, -10, -3.7, -3 in ascending order.\nAnswer: -10, -3.7, -3, -0.53, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 1050599350 + 1050599350 + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160113 divided by 3.\nAnswer: -53371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2205 and -17\/1260.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 7, r: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4872 is divided by 812.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/30*(-208)\/91?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 275 divided by 4\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3050.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((12 - (-228)\/(-12)) + (29 - 24))*258\/12\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113917.\nAnswer: 17, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -2 (c) 4 (d) 0.32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 - 120. Let o = 58 - 31. Calculate the remainder when o is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.573 + 9.869.\nAnswer: 5.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 156*b**2 - 461*b + 348. Give c(153).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12841 = -3256*o + 117399 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 14*i**2 - 32*i + 3. Let g be (-72)\/(-60)*120\/(-9). Let c be s(g). Solve v = -c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j + 118. What is y(-42)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1228 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25 + 22 - -3)\/(-1). Factor 1\/6*m**3 + w + 0*m - 1\/6*m**5 + 1\/6*m**4 - 1\/6*m**2.\nAnswer: -m**2*(m - 1)**2*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1679133, 1679159, 1679185, 1679211, 1679237?\n\"Answer: 26*g + 1679107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -13\/5, -2\/3, -0.1, -0.983, 2, 6.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1106*g*p**3 - 25*g*p + 27*g + 10*p**3 - 192606 wrt p?\nAnswer: -3318*g*p**2 - 25*g + 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/288435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56\/48*3 - (2 - -2). Let a = 507 + -484.1. Let i = -26 + a. Is i equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5\/3 + 26*r**4\/3 + 82*r**3\/3 + 94*r**2\/3 + 12*r = 0. Calculate r.\nAnswer: -9, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4521, 9041, 13561, 18081, 22601, 27121?\n\"Answer: 4520*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -473*7\/(-462)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306) - (sqrt(306)*-3*-6 - sqrt(306)))\/((sqrt(200)*2 + sqrt(200))*3)*-2.\nAnswer: 16*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3, -8, -0.3, -10.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.76261us in minutes?\nAnswer: 0.0000021960435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/242 and 133\/50292.\nAnswer: 553212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1. Suppose -v - 4*c = -4*v + 26, 7 = v - c. Let x(q) = q**2 + 2 + v - 2*q**2. What is -4*i(t) - x(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(38*u**2 - 69*u**2 + 50*u**2 + 2).\nAnswer: -38*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67987, -272035, -612121, -1088251, -1700431, -2448667, -3332965, -4353331?\n\"Answer: -o**3 - 68013*o**2 - 2*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14611 (base 9) to base 11\nAnswer: -7547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -51. What are the prime factors of (16\/v)\/(-5 + (-1196)\/(-240))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 134160*f - 268336.\nAnswer: 4*(f - 2)*(f + 33542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2459155 to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**18\/v*v**20\/v)\/(v\/(v\/(v*v**(-2\/37)*v*v))*v**(2\/13)\/v*v) assuming v is positive.\nAnswer: v**(15825\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -27. Let x be (18\/i + 2)\/1. Suppose -4 = -n + 2*c - 2, -n - 2*c + 2 = 0. Sort 1\/8, n, x.\nAnswer: 1\/8, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 5.8, -2, 2\/3, 4 in descending order.\nAnswer: 5.8, 4, 2\/3, 2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b - 3*b + 2*b + (-5 + 3 + 3)*(-5*b + b + 2*b) + 3*b - 3*b - 4*b + (1 + 0 - 3)*(3 - b - 3) to the form q + a*b and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1431*f + 1391*f - 881*f + 111*f - 1)*(-4 + 4 - 2*f) in the form z + q*f**2 + o*f and give q.\nAnswer: -4104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**2 + 13*h + 8324. List the prime factors of b(0).\nAnswer: 2, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 795 = -5*y, -3*y + 2*y - 2*a + 162 = 0. Calculate the least common multiple of 21 and y.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -213\/22 - -1469\/154. What is the nearest to -0.33 in m, 5, -5, 4\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -133*h**5\/20 + 137*h**2\/2 - 59*h + 127. Let a(f) be the first derivative of q(f). What is the derivative of a(g) wrt g?\nAnswer: -399*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aadduuhahrudddd. Give prob of sequence ruu.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16402100 rounded to the nearest 100000?\nAnswer: -16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - g**2 - g - 3. Let l be ((-18)\/(-3))\/(-2) - (-2 + -1). Let i be 6\/12*0*(-1 + l). What is c(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 6. Let t be c(5). Suppose -4*p = -2*p - t. What is the nearest to -4 in 5, -1\/5, p?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, -0.0984, 3, -0.4?\nAnswer: -0.0984","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*p + 4*p, -4*x = -4*p - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 5480.\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 5*d - 6. Let l be p(3). Suppose -3*k - 2*n = -56700002, 3*n = 3*k - l*n - 56699997. Round k to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 + j**2 + 2*j - 2. Let y be n(1). Let m = y + -18. Is -20 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 137, 202, 311, 464, 661, 902, 1187?\n\"Answer: 22*s**2 - s + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 59*i - 529. Calculate o(49).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {y: 3, h: 6, g: 1, r: 2, x: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 34. Let z be n\/(-6) - (-10)\/(-15). Suppose 0 = -4*m + j + 29, z = -2*j - 0*j. Calculate the least common multiple of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 767\/79 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90 or 4780?\nAnswer: 4780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -16*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -120*((-144)\/20)\/3. Suppose 5*c - 14*c = -g. Calculate the highest common divisor of 48 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23, -31, -39, -47, -55?\n\"Answer: -8*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -360411000 to the nearest 1000000.\nAnswer: -360000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2*x**2 + 5*x - 1. Suppose -2*n + 0*o - 25 = 3*o, -2*n - 4*o - 30 = 0. Let u(k) = 7*k - 9. Calculate n*v(b) - 3*u(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1813 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: Suppose -o = -0*u - 5*u + 246468, -o = -3*u + 147880. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29661690011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -0.5, -0.1434?\nAnswer: -0.1434","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 22439364*d**2 - 3*d - 22439357*d**2.\nAnswer: 7*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, 0.2, 0.5, 5 in decreasing order.\nAnswer: 5, 0.5, 0.2, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5238, 5236, 5232, 5226, 5218, 5208, 5196?\nAnswer: 5182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/7 + 2073*o\/7 + 2101.\nAnswer: -(o + 7)*(4*o - 2101)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146323615.\nAnswer: 5, 29264723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0228 - -0.183.\nAnswer: 0.1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 211 + -209. Let n be -2 + 55\/15 + -3 + 2. Let r = 2 + -1.5. What is the second smallest value in y, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*t + w, w = 3*t + 14 - 39. Solve -4*m = t + 12, -3*z + 2*m = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 3. Let g be r(3). Suppose 0*v - 90 = -3*o + 3*v, -v = -2*o + 55. Solve g*u = u - o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 q, and 2 j when four letters picked without replacement from {z: 1, j: 10, f: 3, h: 1, q: 1, n: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -54*c + 80. What are the prime factors of x(-5)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146702 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.43 + -0.57. What is the third smallest value in 0.5, b, -0.3, -1.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 68, -1.4, 5\/2, -0.5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -331 - -332. Solve 0 = 14*b - 13*b - i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 12004214?\nAnswer: -12004142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3967402 is divided by 991789.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.71 - -2.54. Let j = x + 0.17. Let n be 4\/(-22) + (-3)\/44. Which is the biggest value? (a) -1 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1122 + -566. Suppose 2*t = y - 10. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39917*q - 10146*q**3 + 39914*q - 79831*q.\nAnswer: -10146*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8967541087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/9 - 118*t**2 - 31680*t - 185856.\nAnswer: -(t + 6)*(t + 528)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -2*c + 5*h, -14*c - 111 = -18*c - 5*h. Suppose 5*o = 305 + 2325. Find the second derivative of o*v**2 + 38*v - c*v**5 - 526*v**2 wrt v.\nAnswer: -680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -11*a + 66. What is the least common multiple of 3802 and m(4)?\nAnswer: 41822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 4. Let c = 2 + -4. Let h be v(c). Let a = 16 + 2. Solve -20 = 4*w + q, h = 5*w - q + a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 12 + 13, 0 = -3*b + 2*m + 3421. Suppose b = 2*r + r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2009 divided by -41\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllmllml. What is prob of picking 2 l and 2 m?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 4412.\nAnswer: 17\/4412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 112, 3, 38 in increasing order.\nAnswer: -5, 3, 4, 38, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 138 + -27.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -59. What is the common denominator of 7\/6 and (-36)\/891*m\/(-6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-68)\/119)\/(3\/6 - 134\/252). Let k be (6\/(-4))\/((-3)\/32). Suppose -4 = i - k. Calculate the greatest common factor of z and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-1*1 - -4. Suppose -161*j = -39*j - 244. Sort -4, 0, r, j.\nAnswer: -4, 0, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11596951 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.3+-241804661.321\nAnswer: -241804660.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elu when three letters picked without replacement from eeeeedeeeeeeule?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (22638*o - 11509*o - 12111*o)*(-1 - 1 + 0)*(3*o - 3*o + o) in the form u*o**2 + w + t*o and give u.\nAnswer: 1964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 59756748783357?\nAnswer: 59756748783353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*d**2*i - 2*c*d*u - 50*c*i*u - d**2 + 2*d*i - 5*i*u - 2*i wrt c.\nAnswer: -d**2*i - 2*d*u - 50*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 7*p**2 + 2*p + 83. Is h(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 236*j**3 - 34*j**2 + 23*j + 15. Let p(s) = -79*s**3 + 12*s**2 - 8*s - 5. Give -17*p(o) - 6*x(o).\nAnswer: -73*o**3 - 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/28*(-64)\/(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25426 (base 7) in base 16?\nAnswer: -1a4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - (-19)\/21)*43505\/(-660) and -61\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1000110000101101001 (base 2) to base 12\nAnswer: -11a175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187449 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 6*l**2 + 79*l + 261. Determine f(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*w = 295, 0 = 3*q + w + 53 - 238. What are the prime factors of q?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176\/5 + 598\/15. Let o = -13421\/9 - -1499. What is the common denominator of y and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**5\/20 - 841*o**4\/4 + 707281*o**3\/2 + 1731*o**2. Let p(c) = 0. Calculate c.\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -4 (b) -7\/3 (c) 0.6 (d) 8 (e) -0.5 (f) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h**2. Let v(n) = -8*n - 4*n + 13*n + 13*n + 11*n. What is k(v(d))?\nAnswer: -5625*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2079.661247 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.88 + -0.12. Let w = m + 4.8. Round w to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 84 - -9b?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -1\/3, -2\/7, -492, -147, -2\/11, 15\/26?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40140 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -545, -2330, -5281, -9380, -14609, -20950, -28385?\n\"Answer: 3*m**3 - 601*m**2 - 3*m + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*31.\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*u**2 + 21*u**2 + 12*u**3 - 3*u**3 + 34*u**2 - 91*u**2 in the form z*u + s*u**2 + t + p*u**3 and give s.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8096 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7536\/(-64)*(-8)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 13*p + 2*d = 6, 3*p - 1 = -4*d. Let z(j) = j - 5. Let u be z(11). Let l be 3 + (u\/(-3) - 1). Which is greater: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - 15*u + 3. Let k(b) = 25*b**2 - 200*b + 40. Let y(r) = -40*a(r) + 3*k(r). Let m(d) = 92*d. Give y(m(c)).\nAnswer: -42320*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 62*u**3 + 79 - 107*u - 98*u**3 - u**2 + 68*u**3. What is the derivative of v(o) wrt o?\nAnswer: 192*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/12*6 + -12. Let y(a) = 2*a**2 - 16*a - 5. Let o(z) = -3*z**2 + 17*z + 6. Let n(s) = -4*o(s) - 5*y(s). List the prime factors of n(v).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - -4) + (92 - (-96 - -105))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023936 is divided by 98.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 + 5*d. Let n(s) = 1147*s. What is l(n(h))?\nAnswer: 6578045*h**2 + 5735*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 735.8 + -799.11. Let v = m + 63. What is v rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -0.04, 0, -5, -0.1, -291.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 78435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3 - 5.3. Let b = -1 + 3. Put q, -1, b in descending order.\nAnswer: b, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13261424.\nAnswer: 2, 11, 151, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 5*a + a)*(-4*a + 4*a + a) + (-2 + 1 - 1)*(-a + 2*a + 0*a)*(10*a + 2*a + 27*a + (3 + 0 - 2)*(a + a - a) - 3*a + 0*a + a + 2*a - a - 2*a).\nAnswer: -73*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3753 + -3737. What is the highest common divisor of 1000 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*v + 9 + 2, -25 = 5*v. Which is the nearest to 60? (a) 0.01 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -238*t - 11*t - 1747 + 7225 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.15 and 296.\nAnswer: 340.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 1:46 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*p + 1578*p - 21 + 21 - 527*p - 514*p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2040 is divided by 229?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 9:06 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.951*3.\nAnswer: -11.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzuuuzuzuzuuuuz. Give prob of picking 2 z.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5812 (base 14) to base 7\nAnswer: 62422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*p - 8, -p + 4*v - 8 = -0*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/646201?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 2, 33\/10, 1, -1\/2?\nAnswer: 33\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 - 6 - 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-560)\/(-48))\/(-35)*(-5)\/(35\/9)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + 503a8?\nAnswer: 5039c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -13*w - 3. Let v(h) = 26*h + 7. Let l be (4*(-15)\/(-50))\/((-8)\/20). Calculate l*v(z) - 7*d(z).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*p**3 + 106*p**3 + 78*p**3 + (3*p - p**2 - 3*p)*(-2*p + p + 0*p) + (0 + 0 + 2*p)*(0*p**2 + 0*p**2 - 2*p**2) - p**3 + 3 - 3.\nAnswer: 148*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 886*w = 884*w - 17, 6 = 2*q + 4*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + -68 + (8 - -45).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:23 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 7*s + 2. Let q be c(-4). Let x be 1\/(q\/16*2). Let a(u) = 3*u - 2 + 20*u**2 + 16*u**2 - 35*u**2. Give a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 779, 2.7, -2\/5, 0.4, -0.09 in decreasing order.\nAnswer: 779, 8, 2.7, 0.4, -0.09, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.07136.\nAnswer: -0.07136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11679\/28 - -2918\/7. Let v be 7\/(-3) - (-6)\/(-9). What is the second smallest value in b, -6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/35*15 + 6\/21 and 19\/253?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-225)\/(-135)*(-330)\/(-500)*-2?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 6*j - 4. Let n be s(-5). Let o = -64 - -322\/5. Put n, o, -5 in descending order.\nAnswer: n, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 40. Solve -a + 2 = 3*g - d*a, -2*g = 2*a + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 + 5461*h**3 - h**2 - 5455*h**3 + 9*h**2.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*q + 14*q = 236 + 184 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4874201*f**3 + 3*f**2 - 979464941*f wrt f.\nAnswer: 29245206*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/30)\/((-16)\/((-4800)\/(-6)))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4 - 136*p**3 - 1052*p**2 + 1480*p + 2400 = 0.\nAnswer: -20, -15, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-2*w - w + 2*w)*(-9*w**2 - 3 + 3).\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxxo when four letters picked without replacement from {l: 5, o: 3, j: 2, x: 3}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**3 - 1 + 1)*(170*y - 18 + 110*y - 356*y) in the form a + s*y**3 + d*y**4 + p*y**2 + l*y and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {y: 7, j: 12}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131126828831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116101331 + 1915.\nAnswer: 116103246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*(-3 + sqrt(396)) + -1)**2.\nAnswer: -20448*sqrt(11) + 233137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1750852 by -437713.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885471051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 243233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 113149 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*u - 34, -u + 3*u + 25 = 5*s. Suppose s*t - 65 = 19. What is the greatest common divisor of 24 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*s = -0*p + 12, -4*s = -8. Let q(f) = -2 + 7*f**2 + p - 6*f - f**3 - 2. Is 14 a factor of q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1456954706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/19*(-552)\/(-828).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + sqrt(2057) + 1 + sqrt(2057) - (sqrt(2057) - 4*-1*sqrt(2057) - (1 + 1 + sqrt(2057)))**2.\nAnswer: -32915 + 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 0.2. Let u = 3602.2 + -3606.2. Which is the closest to n? (a) -3\/4 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(-2 + sqrt(1053)) + sqrt(1053))*6.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -476802370 divided by 890\nAnswer: -535733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let y(b) = -20*b**2 - 34*b + 1. Let p(o) = 4*o + 1. Let c(w) = -9*p(w) - y(w). Calculate h(c(d)).\nAnswer: 20*d**2 - 2*d - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -131534374 rounded to the nearest 10000?\nAnswer: -131530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3905*u + 10. Let i be a(38). Round i to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12582034.29s?\nAnswer: 20.803628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgvgeevi. Give prob of picking 1 i and 2 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 2, i: 1, v: 9}. Give prob of sequence es.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, -1\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585351?\nAnswer: 3, 13, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -42, -0.5, 29?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 470\/369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 10*k**3\/7 - 2036*k**2\/21 - 1322*k\/3 + 2156 = 0.\nAnswer: -7, 3, 1078\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 4*q - 4*q)*(3*q - 2*q**3 - 3*q) + (-1 + 1 - 2*q)*(2*q**3 - 2*q**3 + 2*q**3) + 14*q**4 + 3*q**4 - 4*q**4.\nAnswer: 7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 9. Let l be f(-6). What is the remainder when 91 is divided by (l\/10)\/(3\/(-62))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 360*b**3 - 653. Let a(v) = -1084*v**3 + 1959. Let c(m) = -4*a(m) - 11*o(m). Differentiate c(h) with respect to h.\nAnswer: 1128*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40509 and 810?\nAnswer: 3645810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = r, -4*x + 41*r - 16 = 43*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67339586?\nAnswer: 2, 311, 108263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-55)\/(-30))*9\/6. What is the nearest to -2 in -0.2, 41, 0, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d + 68. Let c(p) be the first derivative of 7*p**2\/2 - 46*p + 24. Let j(s) = 7*c(s) + 5*t(s). Calculate j(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -69. Let v = -5 + 2. List the prime factors of 23 - a\/(v - -1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6516 = -3*y, 5*y - 10860 = 20*z - 19*z. What are the prime factors of y?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 7*q**2 + 3*q - 6. Let k be i(7). Suppose -5 = -5*p - k. Let a = 15 - p. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -451.\nAnswer: 2\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaaxtlttaj. What is prob of sequence al?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-9*q + 0*q - 21*q)*(11*q**2 - q**3 - 11*q**2).\nAnswer: 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**6\/220 + 12*s**5\/5 + 535*s**4\/44 - 798*s**3\/11 + 42*s**2 - 2*s + 1. Determine q so that g(q) = 0.\nAnswer: -3, 1, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.969. Let k = q + 5.831. What is the second smallest value in -1, -2\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 2125, -4, 22, -5 in descending order.\nAnswer: 2125, 22, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5547\/99 + (4576\/(-1452))\/104.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 243.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/78 - -761\/312. What is the common denominator of 79\/14 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -308, -382, -486, -620, -784, -978?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.5, 4, -9, 1\/217?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 8:51 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-23\/5)*o)**43\/(o**(-6\/11)\/o)**(-2\/11))**(-39) assuming o is positive.\nAnswer: o**(2644551\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -162303?\nAnswer: -162320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1502144901*d - 8738511 wrt d?\nAnswer: 1502144901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 530 and 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 528 - 533. Is 3 a factor of 113 + 0 + (-4 + o)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 26 + 1\/3*y**3 + 0*y**2 + 0*y. Let l(h) = -3*h. What is v(l(r))?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*l*v**3*w - l*v**2*w + 2*l*v**2 + 77*l*v*w + 64*v**3 wrt v?\nAnswer: -42*l*w + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74058339 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p + 13. Let j be c(2). Is 129 + ((-2)\/j)\/(4\/(-6)) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -91\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1\/3165 (c) 0.3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0 + 1\/10*j**6 + 7*j**2 + 1\/6*j**5 + 0*j + 11\/6*j**3 + 11\/24*j**4. Let w(k) = k**3 + k**2 + k + 1. What is -2*a(h) + 22*w(h)?\nAnswer: -2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1595, -5834, -12917, -22844, -35615, -51230, -69689?\n\"Answer: -1422*d**2 + 27*d - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4*(-2 + -2). Differentiate 0 + 3*p**2 + k + 0 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 + -11369?\nAnswer: -10781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 948 and 2133.\nAnswer: 8532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618701818.\nAnswer: 2, 7, 44192987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + 63. Let h be 1\/f*94*2\/(-4). Let y = 58 - h. Solve -2*r - 3*r + d = 2, 4*r - 5*d - y = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 992*v - 2972. Calculate a(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -31. Let f(y) = 9*y - 1. Let u(q) = -4*q + 1. Calculate i*u(m) - 3*f(m).\nAnswer: m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 - -181.7784313187?\nAnswer: 262.7784313187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 18*x - 40. Let g = 146 - 164. Let r be v(g). What is r rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 minutes before 1:57 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1088)*-1*-6)**2.\nAnswer: 156672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i + 1. Let f = 863 - 857. Let u be (-9)\/f*52\/78. Calculate o(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -3*l + c, -2*l + 255 = l + 3*c. Suppose 0 = -f + 5*t + 15, -4*f + 136 = -5*t + 31. Calculate the greatest common divisor of f and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17985874 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4179 is divided by 75?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 80, 196, 368, 602, 904, 1280?\nAnswer: 1736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 155\/3 (b) -2\/3 (c) 3 (d) 0 (e) 0.4 (f) -4 (g) 866\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*f*i**5 + f*i**2 - 6*f*i - 2963*i**6 + 7*i**2 - 13082 wrt i.\nAnswer: 4080*f*i**2 - 355560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412253 is divided by 4122.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(-7)\/i))**(1\/6)*(i**(-2\/3)*i)\/((i\/(i*i**(6\/17)*i*i*i))\/i))**(-44) assuming i is positive.\nAnswer: i**(-13882\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2 + 10*w**2 - 2*w**2 - w**2 + w. Let u(k) be the first derivative of k**4\/2 + k**3\/3 + k**2\/2 - 2. Determine -u(b) + y(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + -101010000100?\nAnswer: -101010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1768250 to the nearest integer?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + -1 + sqrt(32) + -5)**2.\nAnswer: -96*sqrt(2) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-11)\/165)\/((-2)\/(-12)). Which is the closest to 0? (a) -3 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o + o - 4*o + (-22*o - 14*o + 4*o)*(-1 + 0 - 1).\nAnswer: 67*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29 + -65c3?\nAnswer: -6599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1936222 by -4.\nAnswer: 968111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.249 + 20.351. Let t = 3276 - 3297. Let m = t + d. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 79 in decreasing order.\nAnswer: 79, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 1, -5 in decreasing order.\nAnswer: 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**8\/240 + 31*y**4\/24 - 16*y**3\/3 + 53. Let d(k) be the third derivative of w(k). Differentiate d(c) with respect to c.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1860549878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*t - 67*t + 54*t - 420 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -262 - -257. Let k(u) be the third derivative of 5\/24*u**4 + 0*u + 0 + 4*u**2 + 5\/6*u**3 + 1\/60*u**5. Determine k(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32001146 greater than -544019460\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -m + 22, 2*v + 0*v = 5*m - 2. Let n(y) = 0*y + m*y - 4 + 1 - 2. Let s be n(5). Solve -5*u - s*r = -10, -3*r - 2*r = -u - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4\/15 + 2006*b**3\/15 + 6068*b**2\/15 - 32216*b\/15 + 8048\/5 = 0.\nAnswer: -6, 1, 2, 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 103545.4596 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2190, -4959, -7728, -10497?\n\"Answer: -2769*a + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 336 = -1239. Let z be 0 + (-5)\/(m\/(-10)). Which is the nearest to -1? (a) z (b) -7\/6 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 13. Let v(x) = -2*x - 11. Let y be ((-4)\/6)\/(4\/66). What is the smallest common multiple of s and v(y)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-8)\/3 - -3). Let c be (b + 6)*(1 + 0). Let 2\/7*s**2 + 2\/7*s + c = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -9. What is the second smallest value in -2, 3\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7165447151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 724652 - 54.\nAnswer: 724598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 4 + (-1767)\/95.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -961653 + -9?\nAnswer: -961662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -217832 * -3\nAnswer: 653496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*c + 10 = 3, 3*c - 6 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 2*q**2 - 2*q + (1 - 1 + 1)*(-2*q**2 + 0*q**2 + 4*q**2) + q**2 + 1 - 1 - 1360*q**2 + 1199*q**2 - 2050*q**2 as g*q**2 + s + p*q and give g.\nAnswer: -2206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + g = 46, j + 3*j - 39 = -3*g. Let s be 2390424\/(-32) - j\/(-12). Round s to the nearest one thousand.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*(-9)\/(-6))\/(-1). Suppose y + t = 5. What is the closest to -2\/5 in -1, 1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 3*g**2 + g**2 - 3*g + 2*g**2 + 3*g + (g - 2*g - g)*(7*g - 10*g - 2*g).\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**5\/30 - w**4\/12 + 2*w**2. Let v(l) = -8*l + 15. Let t be v(11). Let g = -75 - t. What is z(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-4*6\/15840). Round f to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + r + 19. Let a be f(18). Let s = a + -329. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-1\/17)*h\/((h\/(h\/((h*h**(-6))\/h))*h)\/h) assuming h is positive.\nAnswer: h**(137\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155136 and 3939?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**4 + 132*m**3 + 627*m**2 - 1064*m - 6096 = 0.\nAnswer: -127, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43385 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*u**2 + 2251 - 147*u**2 - 2251 - 150*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3879 and 1023000912.\nAnswer: 3879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + ((-175)\/55 - (-6)\/33). Suppose n + u*n = -5, -2*t + 443205 = -n. Round t to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6)*(-171)\/3. What is the highest common factor of a and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 9*v - 5*v - 35*v + 48*v.\nAnswer: -v + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/834 and -27\/1529.\nAnswer: 9174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*t - 1 + t**3 + 2*t**2 - t**4 - 1\/2*t**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4097567, -8195123, -12292681, -16390241, -20487803, -24585367?\nAnswer: -28682933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 66800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/14)\/(18\/(-14))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 21*t**4 + 2\/3*t + 14\/3*t**2 + 13\/6*t**3 + 27\/2*t**5.\nAnswer: t*(t - 1)**2*(9*t + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b335 (base 13) in base 7?\nAnswer: 132031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 + 22?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2873 less than -19263833?\nAnswer: -19266706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijnjiijjjinijii. What is prob of picking 1 j, 2 n, and 1 i?\nAnswer: 7\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/(-12) + 3 + -1. Let s = 4\/13 - -40\/39. Which is the nearest to -1? (a) -2\/5 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5248 not equal to 5250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 54. Suppose -16*o + v*o + 5 = 0. Sort 1, o, -0.1 in increasing order.\nAnswer: o, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.7 (b) 4604 (c) -2\/5 (d) -3\/8 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1118282.86*-1.\nAnswer: 1118282.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 15452149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1736 = 5*f + 4*h, 2*h + 693 + 5 = 2*f. Let q = 40 - 12. Suppose -5*y - q = -f. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17871?\nAnswer: 3, 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -5.5. What is the second smallest value in 0, l, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1385 or 1387?\nAnswer: 1385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23)\/(-5) + (-15)\/25. Suppose -q*s + 16 = c, 2*s = -3*s - 4*c + 20. Let t = 8 - 4. Calculate the greatest common factor of t and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1360759978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*o - 159*o + 4*j = 8, 108 = 16*o - 2*j + 42 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -9304, 216 in decreasing order.\nAnswer: 216, 2, -2, -9304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2 - 2*g - 2*g + 2*g**2 - 3. Let z(y) = y**2 + 2*y + 7. Let w be z(0). Suppose -4*x + w = 15. What is b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.1 (b) -4\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 365\/(-35))\/(16\/(-14))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*u + 6*u + 243. Calculate the greatest common factor of u and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58116132 divided by -9686022.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10}. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 9*h**2 + 15*h - 8. Suppose -65*z + 20 = -67*z. Let a be y(z). Is a <= -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184626127?\nAnswer: 599, 1977673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2492015 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*u + 5*v - 3, 17 = 4*u - v. Solve -5*s - u*m = 12, 1 + 7 = 3*s - 2*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 18*p + 765 - 301 = 0 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904564?\nAnswer: 2, 226141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 8*r + 2. Let o be p(4). Let d = 3 - 0. Let c(x) = 3 - 3*x**d + x**2 + o*x - 3*x - 4. What is c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5) + (0 - -10) + 90 + -92 - 85\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1129505785.51+-0.9\nAnswer: -1129505786.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.54 - 0.14. Let g = c + 3.6. Put -4, g, 7\/3 in decreasing order.\nAnswer: g, 7\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 427 + -428. What is the nearest to g in 0.09, -3, -2\/5, 1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 7*o + 2. Let a be f(6). Suppose 3*x - 4 = a. Suppose -4*q - h = 2*h - 14, x*q - 4*h = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*t**4 + 2477*t**2 + 42*t - 2477*t**2 wrt t?\nAnswer: -288*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from {c: 5, o: 3, k: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2442 - -1?\nAnswer: -2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**5 + 559*g**4 + 6238*g**3 + 18212*g**2 + 15960*g = 0.\nAnswer: -7, -2, 0, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/5 - 2074*d**3\/5 - 213304*d**2\/5 + 362984*d - 552000 = 0. Calculate d.\nAnswer: -920, -125, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4052 + -4017. What is the remainder when 549 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 560 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -5*y + 4*z, -y - 54 = 5*z - 53 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 10 = -2*p - 2*v - 0*v, 0 = 6*p - 11*v - 109 + 45 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20132320120 (base 4) to base 16.\nAnswer: 21ee18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 10*a + 4. Calculate q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -99161 take away 4?\nAnswer: -99165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -29, -51, -93, -161, -261, -399?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 232 + -218. Let w(r) = 53*r**3 + r. Let a be w(1). Let d = 1 + a. What is the remainder when d is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let d(q) = 9057*q**2. What is o(d(l))?\nAnswer: -18114*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q - 457 = -541 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 786.0608ml?\nAnswer: 0.7860608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5\/8 - j**4\/8 - 5*j**3\/8 - 3*j**2\/8.\nAnswer: j**2*(j - 3)*(j + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 10 + -14 + -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 376442, 376451, 376474, 376517, 376586, 376687?\n\"Answer: x**3 + x**2 - x + 376441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -0.3 (c) -1\/8 (d) 0.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4258, 3078, 1898?\n\"Answer: -1180*z + 5438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:35 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)*3*6)\/((2*sqrt(66))\/sqrt(11)).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.63 and 47?\nAnswer: -781.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2. Let b(s) = 126*s**2 - 6*s - 30. Let w(h) = 5290*h**2 - 253*h - 1265. Let a(z) = 253*b(z) - 6*w(z). What is v(a(x))?\nAnswer: 114264*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.67 less than -0.412536118?\nAnswer: -20.082536118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 120, 365, 832, 1593, 2720, 4285?\nAnswer: 6360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 332010 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5754251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -221475\/22 + 10062. Let a = -1470723\/116 + 12679. Find the common denominator of a and y.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a64 (base 11) in base 15?\nAnswer: -5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/220*(15\/10 - 4). Suppose 2\/11*j + t - 2\/11*j**2 = 0. Calculate j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwnm when four letters picked without replacement from nwgnmngmmwwnn.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.114843 + -0.5062?\nAnswer: -0.391357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -120*249\nAnswer: -29880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -98*h + 59. Is s(-34) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 111591590, 223183179, 334774768?\n\"Answer: 111591589*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1179 + 3644. List the prime factors of o.\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-106 + 45*n - 88*n + 12 + 45*n)*(n**2 + n**2 + 2*n**2) to the form d + t*n**3 + x*n + b*n**2 and give b.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3217880\nAnswer: -1\/643576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 17) + 45 + (284 - 377).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24470, -24473, -24476, -24479, -24482?\n\"Answer: -3*s - 24467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12015 - -11958.41. Let o = -108 + 165. Let w = o + j. Round w to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30542, -30534, -30526, -30518, -30510, -30502?\n\"Answer: 8*b - 30550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5752*m - 16. Let v be d(8). Round v to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 13*a + 8. Let b be k(4). Let s(g) = g**2 - 5*g + 6. Let u be s(4). Sort -5, u, b, 1 in increasing order.\nAnswer: -5, b, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 + 452*b**3 + 9372*b**2 - 200340*b + 190512.\nAnswer: 4*(b - 12)*(b - 1)*(b + 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(1\/40))**(1\/4) assuming f is positive.\nAnswer: f**(1\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6*n - 27 + 11.\nAnswer: -6*n - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -2 + 1 + 48. Let u be (-2)\/(-5) - p\/70. Let y = -17260\/7 - -2466. What is the closest to -0.1 in u, -2, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878522 is divided by 292840.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2348*3776.6\nAnswer: -886.74568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**4\/2 + 8*n**3\/3 + n**2\/2 + n - 958. Let h(c) = c**2 - c - 1. Calculate -h(r) - m(r).\nAnswer: -2*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**3 + 7. Let v(g) = 4*g**2. Calculate v(r(m)).\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 125 = -93 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 29*i**2 + 55*i - 486. What is c(-26)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421*i + 416*i = -21435. Round i to the nearest 100.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*j + 29 = 10, 0 = -3*j - 12. Let v be (1056\/(-2970))\/((-1)\/(-10)). Which is the third smallest value? (a) x (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f**4 + 579*f**3 - 4102*f**2 + 7584*f + 800 = 0. What is f?\nAnswer: -1\/10, 4, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 212? (a) 0.3 (b) 5 (c) 36275 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 - -715\/8. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*t**3 - 30114*t**2 - 1837472*t + 8 wrt t.\nAnswer: 534*t - 60228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/153 and 73\/68.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1666 - -7e2a?\nAnswer: 67b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 3, m: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 12*a - 104. What is u(6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*u - 20 = 0, -4*u - 11 = -3*x - 2*u. Suppose 331 = x*r + 36. Let m = -19 + r. Calculate the greatest common factor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*x + 255 - 305. Which is the third biggest value? (a) 11 (b) x (c) -5\/9 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*d + 29, -18 + 1 = -2*d - 3*j. Suppose 30*g + 51 + 9 = 0. What is the hundreds digit of ((-2)\/g)\/(d\/110)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -439335 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6151617 kilograms in nanograms?\nAnswer: 615161700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -26?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1740 = -148*k + 160*k. What is the remainder when 153 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 303 + -306. Which is the smallest value? (a) w (b) 0.1 (c) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 30, 60, 112, 192, 306, 460, 660?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19523*x - 28304*x - 746385 = 0 for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*m + 12. Suppose 176 = 2*r + m*r. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + 4*h - 6*h + (-h + 2*h + 0*h)*(-2 + 1 - 1) + 2*h - 2*h + 2*h as q + d*h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -0.0587, -0.1, 1.6, -4, 3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l**2 - 5*l - 4. Let a(m) = m**2 - m + 1. Calculate -4*a(z) - h(z).\nAnswer: 4*z**2 + 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 90*f**2 - 8*f - 17. What are the prime factors of n(-4)?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 2*l + 3. Let s be (-10)\/(-45) + 20\/(-9). What is the remainder when 25 is divided by z(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 10. Suppose -v - 3 = -g. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*q = 0, 4*c + 9 - 1 = -5*q. Let b(g) = g + 8 - c + 1. Determine b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 473447 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 4. Let v(c) = 2*c - 8. Calculate the smallest common multiple of v(7) and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**3 - s + 1. Let z be o(1). Let d(w) = -6*w + 2*w**2 + 7*w**2 - 8*w**2 + 2. What is d(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 30. Let a be v(13). Let i(h) be the second derivative of h**4\/12 - h**3\/6 + 5*h**2\/2 + 8*h. What is the tens digit of i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 168*b - 4265. Give h(28).\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + -3 + (-4)\/1. Solve t = 3*c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 5*b**4\/24 - b**3\/2 + 2*b**2. Calculate the remainder when c(9) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 985831\/(-11935)*(-5)\/7.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.096.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3\/4 + 2161*p**2\/2 - 518368*p - 4542815744 = 0.\nAnswer: -3104, 1886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220102 + -121002001?\nAnswer: -121222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*v**4 + 0 + 8732*v - 5*v**2 - 8734*v - 1 + v**3 + 44*v**4 in the form j*v + g*v**4 + y*v**3 + c + t*v**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14751891331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 633 = 893 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 141487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -270.83 and -5.\nAnswer: 1354.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 + 37168*o**2 - 2180444*o + 13443248 = 0. Calculate o.\nAnswer: 7, 52, 9233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 1. Let j be 1 + (3\/(-2) - (-3)\/(-6)). Let z(b) = -b**3 + 3*b**3 + b - 2*b - 2. Give j*z(g) - 3*r(g).\nAnswer: -2*g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 3*i**3 + 0*i**3)*(0 - 4 + 3)*(4 + 0 - 2).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/23514 and -109\/84?\nAnswer: 329196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z + 11. Let n(g) = 7*g - 10. What is 6*b(f) + 5*n(f)?\nAnswer: -f + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8 - 22*g + 20*g - 1. What is the tens digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 2*o - 18. Calculate z(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - p - 15. Let y be t(0). Let k be 6\/y - 197\/(-5). What is the highest common divisor of k and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.3515ng in milligrams?\nAnswer: 0.0000743515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831 - 249 = 78*l - 588 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115466576 + -1966.61.\nAnswer: -115468542.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96854406, 96854408, 96854410?\nAnswer: 96854412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(60\/5))\/((-6)\/3492). Let x = m - -46. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26b63 + 150?\nAnswer: 270b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5412*y**3 - 811799*y**2 + 153*y + 456. Calculate i(-150).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 divided by 18?\nAnswer: 125\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5748339 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 - 2*b**4 + b**4 + ((2*b**3 - 2*b**3 - 2*b**3)*(-5 - 1 + 5) - 73*b**2 + 73*b**2 + 6*b**3)*(b - b - b) + 2*b**2 - 2*b**2 + 2*b**4.\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 177*s**2 + 2530*s - 11386. Calculate w(190).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/(-7))\/(12\/(-9)). Solve -m = 3*j + 5*i, 2*i = j + 3*i + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + -18 + 1 + 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - (-1 - -4 - (14 - -2185))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 2*s + 1. Let j be t(-1). Let n = j - -3. Factor 4*x + 12*x + 16*x**n + 8*x**2 - 15*x.\nAnswer: x*(4*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -17\/961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*a = 0. Suppose a + 4 = g. Let l = 0 + 5. Solve 2*k = l*d + 20 - 0, -d - g*k = 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 16) to base 15.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 17*w - 4*c + 17 = 0, 23 = -3*w + 4*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2346660 (base 7) to base 11.\nAnswer: 193752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11239, -44943, -101115, -179755, -280863?\nAnswer: -404439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w + 6. Let z(f) = 8*f + 19. Let r(k) = 11*v(k) - 4*z(k). What is r(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:40 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - ((sqrt(85) - 1*(sqrt(85)*-1 - sqrt(85))) + sqrt(85)))*3)\/(sqrt(30)\/(sqrt(6) + 1*sqrt(54) + sqrt(54))))**2.\nAnswer: 67473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12991662.6 rounded to the nearest ten thousand?\nAnswer: 12990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10439)\/(-1144) - 4 - (1 + 14\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from uzaexga?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (200 - 190 - 692\/70)\/((-4)\/10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2296 is divided by 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.04 - -0.04. Suppose 0 = 2*j - 0*j - 8. Suppose -4*f = -j*t + 2*t + 24, -t = 4*f + 18. What is the second biggest value in f, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7}. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157333?\nAnswer: 11, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 509644020 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 1 + (-13)\/(-13). Let g be (f + (-2199)\/(-15))\/(-3619). Let y = -1\/385 + g. Do y and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + -4 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -75, -164, -253, -342, -431?\n\"Answer: -89*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5 + 33406*w**4 + 1675410*w**3 - 1842430*w**2 - 6701608*w + 6835224 = 0. Calculate w.\nAnswer: -51, -2, 1, 2, 16753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c = -2433 - 415 - 659. Solve 7*x + 195 = c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.8 - 9.3. Let p = 3 + -2.9. Let r be -1 + 0 + 6\/3. Which is the closest to 0? (a) p (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1001101110100001?\nAnswer: 1001101110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -88 + 100. What are the prime factors of (3\/z)\/(1\/(-38))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*j**2 + 84*g**3*j - 3982*g**2*j**3 - 24*g*j wrt j.\nAnswer: 2*g**3 - 23892*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 277? (a) -1\/5 (b) 3\/4 (c) 14 (d) 5 (e) 0 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2203*h = 71211 - 7324 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 12 = -y - 2*n, 5*y - 5*n = 15. Let u be (-1)\/1 + (0 - -3). Is (u - y)*5\/2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00182625 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**2 + 0*v - 2\/3*v**3 - 3. Factor g(i).\nAnswer: -2*i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - sqrt(66)*1*-5)\/((sqrt(6) - -1*sqrt(6))*-1) + (sqrt(4400) - sqrt(4400)*-1)\/(sqrt(32)\/sqrt(200)).\nAnswer: 97*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2724, 10726, 24066, 42744?\n\"Answer: 2669*l**2 - 5*l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -2214?\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 483960.8 kilograms?\nAnswer: 483960800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5010 (base 6) in base 10?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.17044494 rounded to four decimal places?\nAnswer: 5.1704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-6))\/a*a**13)\/(a**(2\/7)\/a**8) assuming a is positive.\nAnswer: a**(187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4109 is divided by 2052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 112483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + sqrt(125) + (sqrt(125) + -2*sqrt(125) - sqrt(125)) + -1)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 41*c**2 - 152*c + 55. Determine r(37).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51835.52um in meters?\nAnswer: 0.05183552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 + 6*l**2 + 201*l + 375. Let k be r(-2). Suppose 3 = -v + 1. Let d be -35*(-1)\/(-2)*v. What is the greatest common divisor of k and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136*g**2*v**3 + 18*g**2*v**2 - 143*g**2*v - 7*g*v**3 - 2*g*v - v**3 wrt v.\nAnswer: 816*g**2 - 42*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o + 8*r - 37 = 9*r, -88 = 3*o - 2*r + 75 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/10695?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 107, -3\/13, 1, 0.8, -27.7, 0.5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 186946237 a multiple of 2131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 41 - 45 = 0. Let b be 1*(p\/3)\/((-8)\/(-12)). Let o = -32\/5 + 6. Sort 14, b, o.\nAnswer: o, b, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 993*m + 397*m - 51234 - 260126. Suppose 111 - 339 = -3*o. Calculate the remainder when m is divided by o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000110000000011111100 (base 2) to base 13.\nAnswer: -1462353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 = -14. Let f be 2 + (-12)\/(-8)*t. Let p(z) = -15*z + 13. What is the hundreds digit of p(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 4*w**2 - 4. Let a be -4 - (3 - 4)*1. Let r be u(a). Solve 0 = -2*c + r + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-4) - 20\/(-8). Suppose -7 = -f*o + 48. What is the remainder when 75 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132.9 + 40.1. Let n = t + -172.923. What is n rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 6, 522 = -0*t + t - 4*s. Calculate the highest common divisor of t and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*f**2 - 223*f**2 + 98*f**2.\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1179919 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -21069?\nAnswer: 21076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13, -18, -43, -94, -177?\n\"Answer: -z**3 - 4*z**2 + 14*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -8*z**5 - 6*z**4 + 58*z**3 - 6*z**2 - 50*z + 12 = 0.\nAnswer: -3, -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7937274*z + 58416. Let q(m) = -2446*m - 18. Let j(n) = 9736*q(n) + 3*v(n). Let p(g) = -2*g. Give j(p(c)).\nAnswer: 4868*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -17868437 - 10691563. Round v to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**4 - 15625*o**3 - 988295*o**2 + 1035145*o + 2007810 = 0.\nAnswer: -63, -1, 2, 3187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 4) to base 8\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4717*-0.0472.\nAnswer: -222.6424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 20, 6, -3, -1, -2 in descending order.\nAnswer: 20, 6, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 91 + 4*m**2 - 91. Let p(c) = -7*c**2. What is p(y(q))?\nAnswer: -175*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/10 of a minute?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -10 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-5)*6\/24.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, -62, -165, -246, -269, -198, 3, 370?\n\"Answer: 6*n**3 - 43*n**2 - 2*n + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12862497 bigger than 12862495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 67*g**2 + 59*g - 619. Let h be k(-68). Let j = -13 - 1. Are j and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 1168 = 2*k. Let q = -77 - -114. What is the remainder when k is divided by q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 28 - 4. Let h be ((-119)\/(-3))\/((-2)\/a). Is h\/(-9) - (-4)\/(-18) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 493*c + 63. Let s(b) = -985*b - 116. Give -6*s(w) - 11*v(w).\nAnswer: 487*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 2495850857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 25 = 0, -2*a + 6 = k - 3*k. Let u be a\/(-4) - (2 + 3051\/6). What is u rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**3\/3 - 3*b**2 - 4*b - 6. Let d be n(7). Solve -k**3 - 4 + 3*k**4 + 6*k**2 - 2*k**2 + d*k**2 - 6*k**4 + k**5 = 0 for k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 420137\/20 + -21001. Find the common denominator of d and -23\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w + 4*s - 228, -w - 5*s = -229. Let y = -212 + w. Calculate the remainder when 706 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9774.7um to nanometers.\nAnswer: 9774700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + -7 + (6 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6262991, 6262992, 6262993, 6262994?\nAnswer: 6262995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 16*u**2. Let d(l) = -134*l + 65*l - 87*l - 78*l. Calculate d(f(q)).\nAnswer: -3744*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1998.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4990000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcya when four letters picked without replacement from {o: 1, c: 4, w: 2, l: 1, a: 6, y: 4}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**2. Let u(t) = -4*t**2. Let k(y) = 3*h(y) - 4*u(y). Let p(d) = -14*d. What is k(p(q))?\nAnswer: 196*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*s + 33*s + 16 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -28) + 10 - ((3 - (-2 - -2)) + 7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**4\/12 + 2*q**3\/3 + 9*q**2\/2 + 9*q. Let l be c(6). Is -4 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f - 73 - 2*f**2 - 102 - 23*f + 49*f.\nAnswer: -2*f**2 - 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 976 - 975.95. Put 2\/7, 9\/2, -5, p in decreasing order.\nAnswer: 9\/2, 2\/7, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 214*g**2. Let w(f) = 18546*f - 1. Give w(x(y)).\nAnswer: 3968844*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -124.2539?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6320, 11723, 17126, 22529, 27932?\n\"Answer: 5403*l + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - 2*v**2 - 6*v. Let k(r) = 3*r**3 - r**2 - 3*r. Let m(f) = -6*f**3 + 2*f**2 + 5*f. Let q(y) = 5*k(y) + 2*m(y). Calculate -6*q(o) + 5*w(o).\nAnswer: -3*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 11. Let f = 10 - h. Let z = -2\/6733 - -13488\/74063. Which is the second smallest value? (a) z (b) 1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -14 - -10 - (-51 + 62)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (183 + -2)*(0\/(-4) + 2). Suppose 305 + t = 23*i. What is the remainder when 130 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((145\/30 - 4\/(-24)) + 4)\/((-111)\/(-74))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 - (60\/(-8) - -1). Let w(m) = -3*m + 6*m + 2*m - 1. Let f(v) = -6*v + 2. Let l(z) = x*w(z) + 6*f(z). Determine l(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903834643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006697 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-45)\/14)*(-378)\/2205*150\/18?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**4\/4 + g**3\/3 - 7*g**2\/2 + 6*g + 46. Let b be p(2). Let t(r) = r**3 - 5*r**2 - 4. What is t(b)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 7. Let y = 0 + 7. Give b(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 60 + 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 - 2. Let q(k) be the first derivative of k**5\/30 + 12*k**2 - 4. Let l(y) be the second derivative of q(y). Calculate s(l(f)).\nAnswer: -12*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*y = -337*y. Solve 0*g + 4*g - 8 = y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -2*l - 0*l + 20, 3*f = 4*l - 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5068168 divided by -103432\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 87924314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-15)*9\/2. Let b = -2 + f. Let c(d) = -6*d**3 + d**2 + d - 1. Let w be c(1). Sort 4, b, w in ascending order.\nAnswer: w, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Suppose 8 = u*f - 7. Let i(t) = -7*t**3 + 5*t**2 + 5. Let j(x) = -4*x**3 + 3*x**2 + 3. Determine f*j(r) - 3*i(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327089.\nAnswer: 7, 46727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-5)*x**(-2)\/x)**31)**39)**(1\/4) assuming x is positive.\nAnswer: x**(-2418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 3*d + 9. Suppose d*k + 2*y = -2*y + 18, y - 37 = -4*k. Suppose 2*o - 3*x - 100 = k, x = -5*o + 275. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4458 + -2 + (-2 - -6). Suppose 2*b - z = -18*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.896 - 4781\nAnswer: -4780.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-3690) - (-540)\/(-12150)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((2*sqrt(170) - sqrt(170))*-1)\/(-5*2*sqrt(10)) - (4*(1*sqrt(85) - sqrt(85)))\/(sqrt(5) - sqrt(15)\/(sqrt(3) - sqrt(48)))).\nAnswer: sqrt(17)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -188268009 take away -6855.4?\nAnswer: -188261153.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -38*d + 2*d**2 + d**3 - 37*d - 2 + 71*d. Let y be x(-2). Is 8 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/((-392)\/117453 + (-4)\/(-94))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*t + 10*t**2 - 56*t - 1)*(131 - 131 - 112*t).\nAnswer: -1120*t**3 + 112*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-1)*q*q))**(-40)\/(q\/(q*q*q\/((q*q**(-1\/2))\/q*q))*q)**21 assuming q is positive.\nAnswer: q**(261\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q + 174 = 0. Let y = 106 - q. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*g**4 - 27*g**4 - g + 43*g**4 + 26 - 19*g**2 - g to f*g + z*g**2 + r*g**3 + s*g**4 + u and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 1. Give p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -1\/2*c**2 - 1\/12*c**4 - 1\/3*c**3 + 0 + 8*c. Determine n, given that h(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -8d79?\nAnswer: -8d76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -27 (b) -11 (c) -0.008 (d) -0.2 (e) 0.2 (f) 518\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 23*l + 29. Let d be w(-23). Suppose -9*n - d = -8*n. Let j be (-2)\/(-12) + n\/(-6). Solve -j*f = 20, -3*f - 20 = 3*g + 2*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/510 - d**4\/34 - 5*d**3\/51 + 6*d**2. Suppose h(m) = 0. What is m?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 47*r + 337. Calculate the remainder when i(-11) is divided by ((-8)\/6)\/((-5)\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4080938843?\nAnswer: 4080938843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -5. Put -4, 2, -2\/9, a in decreasing order.\nAnswer: 2, a, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r. Let t(a) be the second derivative of -a**5\/60 - a**3\/6 - 4*a. Let m(x) be the second derivative of t(x). Give m(g(b)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -0.1, 0.5, -1 in increasing order.\nAnswer: -1, -0.1, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 253947409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 1\/11 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 n when three letters picked without replacement from snsnsssnsnsssssnns?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 555, 645, 737, 831, 927, 1025, 1125?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = -741 - 699. Are -0.2 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 1:30 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15595284 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6521*w = -3180*w + 9841*w - 725010 for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/19 - 14*j**4\/19 - 24*j**3\/19 + 32*j**2\/19 + 128*j\/19 + 96\/19 = 0. Calculate j.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2984427, 5968779, 8953139, 11937513, 14921907, 17906327?\nAnswer: 20890779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j - 5. Let a be o(-6). Solve 4*u + l = 2*l + a, -3*l - 17 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.454 (b) -5\/2 (c) -23\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/27)\/2)\/(31\/(-4650)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(175) - sqrt(63)\/((sqrt(9) - sqrt(9)*1) + sqrt(9)) - (sqrt(847)*-2 - (sqrt(28)*-1)\/sqrt(4)))**2.\nAnswer: 100*sqrt(7) + 4379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2714 to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-7 - -3))\/((-2)\/(-2988)). Let b = 7516\/5 - r. What is the common denominator of b and -40\/37?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1998 divide 5920957116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/12 - (-13)\/(-28). Suppose 2\/7*s**2 + 0*s - x = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2970 - 2971. Let i(g) = 23*g + 11. What is i(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88885 (base 9) to base 16\nAnswer: e6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 8*k + 11*k + 5*k - 6*k. Let m(g) = -3*g**2 + 6*g + 16. What is x(m(l))?\nAnswer: 3*l**2 - 6*l - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24656205, -49312416, -73968627, -98624838, -123281049, -147937260?\n\"Answer: -24656211*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200687 divided by -27?\nAnswer: -200687\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(102)\/sqrt(6) + -3)**2)*-1.\nAnswer: -26 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/381 - 346\/2667. Let c = -0.8 - 0.2. What is the nearest to c in -0.4, l, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2709 = 22*z - 12867. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, -4, -23, -62, -127, -224?\n\"Answer: -f**3 - f**2 + 5*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 7*c**2 + 33*c**2 - 9*c**2 - 8*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t. Let m(g) = g**2 - 2*g - 285169. Calculate m(h(k)).\nAnswer: 81*k**2 - 18*k - 285169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -24.0000058. Round m to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.61 * -244.\nAnswer: -148.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 284256230*p + 4040080214690645.\nAnswer: 5*(p - 28425623)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 5*r**4 - 10*r**3 + 4 + 11*r**3 + 4*r**4 to the form y*r**3 + w*r + z + d*r**2 + t*r**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:31 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25474 and -11?\nAnswer: -2.80214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwppiiipppiipppiipp. What is prob of sequence pwi?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 234\/(-15)*(-70)\/3. Suppose -a + 11364 = 2*i. Round i to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 93, 2.\nAnswer: -1\/2, 2, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 11:46 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3552\/167277)\/8*3\/((-12)\/(-22))?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10658 + 14894. Calculate the remainder when j is divided by 74.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-850)\/(-75)*5\/(-90)*1)\/(88\/(-792)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -184 - -211. Let o be 1 - (5 - 2) - -4. Suppose -2*u + 5 + c = 3*p, -4*p + 46 = o*u. Calculate the remainder when 36 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6589, -22721, -49613, -87271, -135701, -194909, -264901?\nAnswer: -345683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.74 + 125.26. Let j = -354 + h. Let v = -221.45 - j. Round v to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46978 is divided by 362?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - (sqrt(2448) + sqrt(2448)*-1 + sqrt(2448) + sqrt(2448)))*1 + sqrt(102)\/sqrt(216))**2.\nAnswer: 85697\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 8 = 6*n. Let c be 1746\/26 + n\/(-52). Let w = c + -61. Solve -25 = h - w*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.65 - 2.3. Let k = -0.15 + q. Which is smaller: 1\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2799193mm to centimeters.\nAnswer: 0.02799193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*k - 155 - 51 = 82 - 30 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35 + 82?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -14*l + 35. What is the highest common divisor of 28 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 6 - 30 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1100734, -5 in decreasing order.\nAnswer: 3, -5, -1100734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 24, -3\/7, 1\/46?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b*b\/b**(-5\/11)*b*b*b**(-3)\/b assuming b is positive.\nAnswer: b**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -14*b + 10. Let x(o) = 4*o + 2. What is h(u) - 4*x(u)?\nAnswer: -30*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135\/4 + -33. Let x = -7 - -12. Which is the closest to -2? (a) x (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 2 - 136*y**3 + y**2 + 2 - 21.\nAnswer: -136*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -3)*(-8)\/(-20). Find the third derivative of 7*y**5 + 0*y**2 + 4*y**c + y**5 - 3*y**5 wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.06 + 0.06. Let m = 2.1 + y. Let x be (-6)\/5*40\/(-12). What is the closest to 2\/3 in -2\/7, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -2. Let l = -8.3 + i. Suppose 4*s = 2*t + 2*s - 10, 5 = -5*t - s. What is the third smallest value in 0.4, t, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1845.927 and -0.0317?\nAnswer: -58.5158859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h - 4. Let j(y) = 3*y**2 + 2*y + 14. Let c(g) = 7*g**2 + 4*g + 27. Let p(r) = h*c(r) + 5*j(r). Is p(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3735, 14997, 33863, 60423, 94767, 136985, 187167?\nAnswer: 245403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 13*w + 10. Let i be f(6). Calculate the highest common factor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -8. Solve 0 = 2*f - m - 2, 0*f - f + 3*m - r = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 3*j**2 + 3*j**2 + (1 + 7*j - 1)*(87 - 87 - 16*j)*(-1 - 1 - 1) as i*j**2 + s + o*j and give i.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 3*i + 2*i)*(0*i - 4*i + 2*i) - 84*i**2 - 293*i**2 + 41*i**2 to a + f*i**2 + l*i and give f.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 5 = 5*s. Let v = -11 + 7. What are the prime factors of (v\/s)\/((-1)\/138)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17579 (base 12) in base 16?\nAnswer: 836d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3458 is divided by (1 - -17) + (569 - 567)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*s - 0. Let u be (-1)\/s*(3 - 3). Suppose 4*q - 150 - 10 = u. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 380*m**2*z**2 - 2*m**2 - 811*m*z - 3*z**5 wrt z.\nAnswer: 760*m**2 - 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -10*q**3 + 15*q**2 - 81*q + 110. Let x(n) = 7*n**3 - 16*n**2 + 83*n - 110. Let l(s) = 2*b(s) + 3*x(s). Let l(r) = 0. Calculate r.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 32 = -15. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (4 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 8, -2\/5, 0.4, 0.06811, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -272*j**3 + 486*j**3 + 1135*j**3 + 2039*j + 871*j wrt j?\nAnswer: 8094*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-6 + (-26 - -13) - 57).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 896 and 47572?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.055.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3\/8, 2\/7, -3, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let v = 23684 + -23684. Let z(m) be the third derivative of 0*m - 41*m**2 + 0 - 1\/12*m**5 + v*m**4 + 0*m**3. Calculate z(b(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(6\/1260 + (-18)\/252).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**(1\/7)\/(x**5*x*x*x*x**(-6)) assuming x is positive.\nAnswer: x**(-55\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - 1.56. Let y = r - 0.5. Let m = y - -1.7. Which is the nearest to 1\/4? (a) 1\/5 (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*d = 0, p - 3*p = -2*d. Let i = 1 - p. Is i\/(-3) + 30\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30160 or 30161?\nAnswer: 30160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/104 or -2\/1637?\nAnswer: -2\/1637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = 3*b + 1, b + 5*z - 12 = 0. Suppose -w = 4*w, -b*i - 2*w + 2 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3627 and 22095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1383, 2774, 4165?\nAnswer: 5556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2)*r)**(-24)*r**(-1\/7)\/r*r\/(r*r\/((r\/(r\/(r\/(r*r**5))))\/r)*r*r) assuming r is positive.\nAnswer: r**(-743\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 5 - 0)\/1. Suppose -203*w + 197*w + 6 = x. What is the remainder when 14 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 3*t**2 - 3*t + 18. Is z(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-12963.\nAnswer: 51852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 7*k. Let j(f) = 2*f - 4. Let w = -2 + 5. Let n be j(w). Solve k*l + l - n = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 60469 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**4\/24 + 2*p**2. Suppose -5*z + 9 = 3*s, -2*z = s - 2 - 1. Let j(r) = -s + 4*r**2 + 15 - 12. Give j(g(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13832873, 27665743, 41498615, 55331489?\nAnswer: 69164365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/10 and 41\/2508?\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4.54 (c) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 31*v - 33*v = 2, 0 = -2*v + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -85839, -86037, -86237, -86439, -86643?\n\"Answer: -g**2 - 195*g - 85643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.37, 3\/4, -1\/4, -5, -38, 51?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + -48. Suppose 6*y + i = 11*y. Suppose -5*d = l - 937, 3*d = -d + y*l + 740. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -109, -150, -171, -166?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 12*r**3 - 5*r**2\/2 - 5*r + 3130. Let c(l) = -37*l**2 + 6*l + 6. Determine -5*c(o) - 6*g(o).\nAnswer: -31*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/5)\/((z**(-1\/14)*z)\/z)*z**9*z*z**(-2\/23))**(-43))**(-14) assuming z is positive.\nAnswer: z**(635841\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 924 and 733404.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349749586.\nAnswer: 2, 174874793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 times 1108.3?\nAnswer: -156270.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 61*l - 113. Let z(p) = 189*p - 335. Let d(x) = -564*x + 1006. Let r(j) = 3*d(j) + 8*z(j). Let k(b) = 8*g(b) + 3*r(b). Differentiate k(f) wrt f.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (532\/6650)\/(2\/5)*-6\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 91*n**2 - 29*n - 216. What is the thousands digit of h(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d + 4*d + 5*d + 0*d - 4*d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 32 = 2*f, -208*f + 198*f - 5*r = 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*k - 47. Let u = k - -12. Which is the third biggest value? (a) -5 (b) -6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3 + 5*sqrt(12)\/sqrt(4) + -5 - (sqrt(72)\/sqrt(64) + sqrt(18))\/(2*sqrt(54)))*1)**2.\nAnswer: -25513\/96 + 460*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -213172311*u**4 + 219283424*u?\nAnswer: -2558067732*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143*0.549.\nAnswer: 78.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2\/4 + 1032*l + 12492 = 0. Calculate l.\nAnswer: -12, 1388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 - -178. Suppose b = l + 60. Let g(z) = -18*z + l*z + 8*z. Let q(a) = 5*a + 1. Determine 6*g(k) - q(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433, 473, 501, 511, 497, 453, 373, 251?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**7*k)\/(k\/k**(7\/5)))\/(k**(-8\/7)*k**5) assuming k is positive.\nAnswer: k**(159\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 153*i - 63. List the prime factors of o(7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 26. Let y(q) = q**2 - 2*q + 5. What is the remainder when y(4) is divided by b + (1 - 1 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**2 + 294*m - 557. Determine z(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -533*w - 3920. Determine f(-13).\nAnswer: 3009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.0765 (b) 0.3 (c) -0.2 (d) -99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 3)\/(9\/(-6)). Suppose 3*l + 2*l = -2*d + 2500002, 999999 = w*l - d. Round l to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 210807\/28 - 7525. Let a(c) = c. Let u be a(-3). What is the common denominator of d and u - (3 + 179\/(-18))?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.53 - -0.33. Let m = -4 - t. Let f = 25727 + -25730. Which is the nearest to m? (a) 3 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 565875 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 814966121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16238, -32592, -48944, -65294?\nAnswer: -81642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 37.7 (c) 5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 554b + 143?\nAnswer: 5692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 != 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -9. Let f be (3\/(-12))\/t*12. Suppose 5 = 2*d - f. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4848 divided by 1616\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 2 - (-13 + 1)) + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, -5, 4\/53, 2, -0.038?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddbssvbbbbdsddsb. Give prob of picking 2 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -499 - -501. Let b(h) = -h**3 - 10*h**2 - 10*h. Let n(d) = -2*d**2 + 7*d - 5. Let y be n(4). Calculate the smallest common multiple of b(y) and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 776496 by -2.\nAnswer: -388248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4681752341 to the power of 1\/2, to the nearest integer?\nAnswer: 68423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002244569 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -1, 0.\nAnswer: -38, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 43.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - y + 0*y)*(-5 + 3 - 6) + (-2 + 5 - 1)*(-2*y + 1 - 1) to x*y + a and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2 + 10. Suppose -s*n - n + o = -87, n - 24 = -2*o. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 - 74*b\/5 + 1369\/5.\nAnswer: (b - 37)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 562637407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/1)\/(9\/8271) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109*143\nAnswer: -15587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27 + 0)*18\/(-27). What is the highest common factor of 27 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16861\/139230 + 13\/(-182) and -79\/51.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -2, 3, -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 6*d**2 + d + 6. Let i be t(-6). Suppose 4*w + 5 - 13 = i. Which is the closest to -1\/4? (a) -1 (b) -3\/8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/5, 1\/14, -0.15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 3*t + 4. Let r be l(4). Let z = r - -1. Suppose 4*i + 6 = 5*j, 9 = 4*j - i + 2. Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 7:49 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34196 is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 61 = 17. Calculate the highest common divisor of k and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289970070 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -0.786.\nAnswer: 13.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 276. Let y = -225 + a. Solve y*c - 6 - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1495\/301 + -39\/7. What is the common denominator of -57\/4 and b?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quqarraaqqaruqa. What is prob of sequence qau?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 - (-51 + (10 - 77)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -8. Suppose 2*n - 4 = -3*y, -n = -y - p*y + 11. Let r(s) = 5*s**2 - 8*s + 7. Let q be r(1). Solve 8 = q*i + t, y*i = 2*t - 0 - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 145 = 3*r - n, -r = 5*n - 100. Suppose 5*c = 3*u + c - 215, -u + 2*c + r = 0. What are the prime factors of u?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.43 + -0.03. Let g = 0.3 - o. Suppose -469*c - 1044 = 1301. What is the closest to g in c, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 36 = -13*t. Is t\/((-48)\/6)*-5218 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42472 - 42472. Solve 2333*o - 2326*o - 14 = p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + -93 + (4 - (1 - -15)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b**2 - 1030*b - 38. Let l be n(-82). Round l to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -49, -115, -185, -259, -337, -419, -505?\n\"Answer: -2*s**2 - 60*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59003 is divided by 6555.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 + 101?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 512 + -458. Suppose -d*l + 51*l + 2949 = 0. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 1 + 4)*(3 + 2*s**2 - 3 + (3 - 3 - s)*(s + 2*s - 2*s) - 1099*s**2 - 519*s**2 + 384*s**2) as d*s**2 + l*s + c and give d.\nAnswer: 6165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20120967239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0 = -13. Suppose -k*f = -2*f - 3960. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3482728*n**6 + 87*n**2 + 1872*n wrt n.\nAnswer: 417927360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -457, -473, -501, -541?\n\"Answer: -6*h**2 + 2*h - 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/(15\/30). What is the fourth smallest value in 3, z, 0.1, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*v + 19 = 0, -3*o = -3*v + v + 4. Sort o, 0, -8, 5 in increasing order.\nAnswer: -8, 0, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - 18*j + 1. Let b be x(-9). Suppose i - 1644 = -0*i - 5*l, 0 = -l + b. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.499982 - -0.5. What is j rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 233. Let p(c) = 333. Let m(w) = -10*n(w) + 7*p(w). Let k(q) = -q**2 + q - 1. Determine k(o) + 2*m(o).\nAnswer: -o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 3\/2, -78790, -10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06697 - 11.93303. Let u = -0.4 + 0.2. Which is the closest to -1? (a) u (b) -1\/6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.25 + 0.27. Let h = c - 0.428. Let f = 0.14 - h. Round f to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 71, 1, 5, -74, -3 in increasing order.\nAnswer: -74, -3, 0, 1, 5, 6, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/((b\/(b*b*b**(-6)))\/b*b)*b)\/b*b)\/b**(-7))\/(b**(-8)*b*b**(-2\/11)))**29 assuming b is positive.\nAnswer: b**(3567\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 346 - 143. Let u(m) = h - 100 + m - 2*m**2 - 102. Let l(b) = -5*b**2 + 2*b + 3. Give -3*l(y) + 8*u(y).\nAnswer: -y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 0.3 (b) -3 (c) -4.1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = x + 15, 5*o = -5*x + 3 - 18. Solve 74*c = 71*c + x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.06, 0.052, -1\/2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -73b7c31 + 3?\nAnswer: -73b7c2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (12 + 38 + -4 + -12).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f + f)*(3*f - 4*f - f)*(-7*f**3 + 0*f + 0*f).\nAnswer: 28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -31?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102630801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56575 is divided by 17491?\nAnswer: 4102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -322*p - 389*p + 902*p in the form n*p + k and give n.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-25) + 3422\/10. Suppose 0 = 7*k - o - 4874. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 9*q + 1. Suppose o + o + 16 = 0. Let f be c(o). Is 1 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2562\/4*(-20)\/(-15). Suppose u - 854 + 3*o**4 - 6*o**3 - 9*o**2 = 0. What is o?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + -1 + 5 + (sqrt(147) - ((sqrt(147) - (2 + sqrt(147)))*-2)**2) + (-3*(0 + 3 + sqrt(147) + sqrt(147) - sqrt(147)))**2.\nAnswer: 392*sqrt(3) + 1392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 25.3, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148 and 456432.\nAnswer: 456432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -227503*q**3 + q**2 + 12751*q.\nAnswer: -1365018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeq when three letters picked without replacement from {q: 1, e: 7, u: 11}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -203.\nAnswer: -203, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n**5 + 32736*n**4 + 8588255*n**3 + 5877432*n**2 + 978948*n = 0. Calculate n.\nAnswer: -213, -2\/5, -2\/7, 0, 1149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 - 209581?\nAnswer: -208678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from {d: 4, i: 1, r: 8}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2577 + 2705. Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 794 = -4*r, 480 = 3*h + 5*r + 11. What is the remainder when h is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 1. Let a(d) = 7*d**2 + d - 4. Let r(f) = -a(f) - 4*x(f). Let p be r(2). Let t(b) = -b**3 - 6*b**2 - 2*b - 8. Determine t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*j**3 + 375*j**2 - 18*j - 10147178.\nAnswer: -135*j**2 + 750*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3385060 to the nearest integer?\nAnswer: 1840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21791090.\nAnswer: 2, 5, 41, 53149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(0 + (sqrt(243) - (-3*sqrt(243) + 3)))*-2)**2.\nAnswer: -21600*sqrt(3) + 389700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13 - (-259)\/21)\/((-4)\/30). Let l(z) be the third derivative of 0*z**4 + q*z**2 + 0 + 1\/120*z**6 + 0*z**3 + 0*z - 1\/15*z**5. Factor l(k).\nAnswer: k**2*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 - 7*j - 5. Let d(k) = 9*k**2 + 14*k + 10. Let v(c) = 4*d(c) + 7*n(c). Calculate v(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 196*u**3 - 4368*u**2 + 1236*u - 88 = 0. What is u?\nAnswer: 1\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 218*i + 3766. Calculate l(-16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -48043 < -48038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.07670954 = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a meter in millimeters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0199 + 93.7801. Round q to the nearest integer.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*x + 196*x = -34008. What are the prime factors of x?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/60756 and 5\/1992?\nAnswer: 121512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26728477 divided by -1\nAnswer: 26728477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33, 42, 63, 102, 165, 258, 387?\n\"Answer: h**3 + 2*h + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 - 80. Let f(x) = 24 + x**2 - x - q + 22. Suppose -3 = -3*h + 3*p, 3 + 16 = -2*h - 5*p. Let w(v) = 3*v**2 - 3*v. Give h*f(c) + w(c).\nAnswer: c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 21*m**2 + m + 1. Is z(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -31, -0.2, -7\/3, 3\/8 in descending order.\nAnswer: 3\/8, -0.1, -0.2, -7\/3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b + 2. Let x(r) = -r. Let d(h) = -j(h) + 2*x(h). Let z be d(-1). What are the prime factors of z + (-1 - -3) + 32?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 4*p**2 + 7*p - 4. Let s be k(2). Solve -5*i = -s*o + 2, o - i - 1 = -0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*t + 3*b, -b + 0 = -2*t + 3. Suppose 72 = -3*h - 3*d, 4*d - 47 = 5*h + 37. Let m be (-2 - 2)\/(4\/(-3)). Put t, h, m, 2 in descending order.\nAnswer: m, 2, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w**3 + w**3 - 9 + 7 + 2*w + 3*w**3 - 2*w + 2*w + (w**2 + 2*w**2 - w**2)*(w + 2*w - 4*w) as a*w + k + j*w**3 + i*w**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (8 + -8 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.039 in 2\/3, 1\/32, 3, -9\/5?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117*p*s**2*u - 12*p*s**2 - p*s - 30*p*u + s**2 with respect to u.\nAnswer: 117*p*s**2 - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f**3 - 9*f**2 - 9*f + 9. Let k(c) = -3*c**3 + 2*c**2 + 2*c - 2. Suppose -3*u = u - 36. Calculate u*k(n) + 2*h(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07553 + -0.075525119. What is t rounded to seven decimal places?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/355? (a) -3\/7 (b) 10 (c) -3\/10 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3301310 + -232?\nAnswer: 3301012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 205770889 a multiple of 2493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3378, -0.4, 54.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/9*(12\/15)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + d - 5 = 0, 20*b = 23*b + 5*d + 11. Let k(l) be the third derivative of l**5\/60 - l**3\/3 + l**2. Determine k(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 1217*x + 369433. Determine l(580).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*r**2 + 10 - 2*r + 4*r - 2*r - 2 in the form q + f*r + a*r**2 and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/10*2)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/546448 and -179\/9996.\nAnswer: 1639344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + 0.05. Which is the biggest value? (a) 1\/2 (b) i (c) 0.2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 4 + -8)*(-6)\/33. Which is the nearest to 1\/3? (a) 3 (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -124. Suppose -105*g = -n*g - 14. Let u(r) = -2*r**2 + r + 1. Calculate u(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 + p**2 - 2*p**2 + 129.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2*(1 + -1 + sqrt(272) + -5 + 3*(sqrt(272)*2 + sqrt(272)))*-5)*-5)**2.\nAnswer: -1040000*sqrt(17) + 68067600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6072986 is divided by 1066.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21471376 by -4.\nAnswer: 5367844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from jiijjoowwoiiooi.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 8*q**2 - 7*q + 2. Let n be g(-7). Let o(l) = 2*l - 31. Let t be o(16). Let p be 2 + -8 + 10\/t. Solve -12 = n*b - p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1248063*z**2 + 515494 with respect to z.\nAnswer: -2496126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5233 in 0, 19\/5, 2, 3?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -19*z**2\/2 + 5*z + 1. Let r be k(-5). Round r to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = 6*m + 20*m. Suppose m = -23*r - 2*r. Which is greater: r or -17\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11326 - -11326.1. Sort -2\/9, 240, t.\nAnswer: -2\/9, t, 240","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 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: Is 60544937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23690 divided by -329?\nAnswer: -23690\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -1. Suppose 2*z - 4 = 0, -z + 12 = 3*u + 2*u. Let i = 7 + -7.1. Which is the nearest to i? (a) 5 (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*s**5 - 79*s?\nAnswer: 1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)*(6 - 0\/2). Let p = 3 - -2. Find the third derivative of 2*z**2 + p*z**4 - z**4 - 4*z**4 - w*z**5 wrt z.\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 5*k**8 + k**4\/24 + 253*k**3\/3 + 23*k**2 - 5*k. What is the second derivative of s(w) wrt w?\nAnswer: 33600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -262*z. Let h(t) = 2*t. What is h(g(s))?\nAnswer: -524*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*q + 1 = 900*q - a, 0 = -4*q - 5*a - 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373 - 372.865. Let l = -3.135 + u. Which is the nearest to -0.2? (a) 0.1 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.069731 - -0.96036. Let y = q + -2.03. What is y rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 7) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -31.195. What is x rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 6210745.\nAnswer: 18632235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/21 (b) 20.5 (c) 49 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (115\/2)\/(2\/4). Suppose 3*u = 8*u - o. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 + 0.26. Is z less than -2.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21c - 45?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x + 7. Let l(y) = 16*y + 11. Determine -5*l(r) + 8*o(r).\nAnswer: 8*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 1808 - 1754 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 781.7868 centimeters?\nAnswer: 0.007817868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -205 + 290. What is the remainder when y is divided by ((165\/(-10))\/((-2)\/(-8) + -1))\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**2 - 153*f - 15. Let n(q) = -4*q**2 + 155*q + 12. Determine 3*b(x) + 4*n(x).\nAnswer: -x**2 + 161*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 449.7815 - -1.2185. Which is the third biggest value? (a) 0.1 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2. Let m(r) = -16*r**2 + r + 1. Let y(c) = -11*b(c) + 2*m(c). Let w(h) = -h**2 + 2*h + 1. Let s be w(3). What is y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 14) to base 7\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*r - 2*m, r - 42 = -5*m + 2. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 25428.\nAnswer: 203424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*q - 4*f, 107*f = -2*q + 105*f + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 + 1. Let c = u - 58. Let h = 181 + -82. What is the remainder when h is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 21. Let y be z(-17). Let t(v) be the second derivative of v**5\/20 - v**4\/6 + v**2 + v. Is t(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 411110775 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 637*k**3 + 108936*k**2 + 2340900*k.\nAnswer: k*(k + 25)*(k + 306)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 174 + 236 + 23*i**3.\nAnswer: 23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*s**3 + 379*s**3 + 397*s**3.\nAnswer: 989*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/858 and 151\/3615300?\nAnswer: 39768300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -49*a + 39*a. Let c(h) = 4*h**3 - 4*h**2 - 9. Let v(d) = 3*d**3 - 3*d**2 - 6. Let x(b) = a*c(b) - 3*v(b). Factor x(i).\nAnswer: -i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2125.331 - 972.\nAnswer: -3097.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/56)\/(3\/21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18804 is divided by 118?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1 + -3 + 2)*-1.\nAnswer: -10*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76072308 or -76072309?\nAnswer: -76072309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 times 0.5?\nAnswer: -97.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2379.2 and 1.2.\nAnswer: -2378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72 - 45 - 60) + (10 - (0 - 2)) + -12.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217522235 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -g + 5*g + 123, i - 4*g - 111 - 49 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099726393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t be ((2661015\/24)\/5)\/(-2). Let y(s) = 410*s**3 + 2*s**2 - s - 1. Let c be y(3). Let j = c + t. Find the common denominator of j and 53\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 15. Let a be ((-16)\/(-3))\/(2\/6). Calculate the remainder when 5 is divided by j(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9 - -1) + 48\/8)\/(0 + -12). Let d = -1054\/1305 - -2\/261. Put -0.5, d, 0.4, y in increasing order.\nAnswer: d, -0.5, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or 177?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6114*k**3\/13 - 2818558*k**2\/13 + 17129584*k\/13 + 11208\/13 = 0. Calculate k.\nAnswer: -467, -2\/3057, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/11 + 56*h\/11 - 150\/11 = 0. Calculate h.\nAnswer: 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10948073 divided by -2\nAnswer: 10948073\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15 + 0)\/((35\/2330)\/(-7)).\nAnswer: 2, 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670103961.2 + -6?\nAnswer: 2670103955.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 173797 + -101934. What are the prime factors of k?\nAnswer: 11, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 + 10 - -33) + 40 + -12?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2723 is divided by 1361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -200310 (base 4) to base 9\nAnswer: -2783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*c - 113*c - 275*c - 92*c.\nAnswer: -595*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 7*f - 7. What is z(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8784 and 114192.\nAnswer: 114192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 59953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(1 - -1) + (-30 - -314)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s**(1\/3)*s))**(-1\/6))**(-1\/53)\/((s\/(s\/(s\/s**6)))\/(s*s**2)*(s\/(((s**(-5)*s)\/s*s)\/s*s))\/s**(-3)) assuming s is positive.\nAnswer: s**(1\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1180\/(-6))\/(1\/(-3)). Suppose -l = -5*n - 2*d + 407, 0 = -4*n + 2*d + 794. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**4\/12 - 6*k**2. Let g(t) = -7*t. Determine u(g(c)).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u - 7*u + 24*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 3*x - 1\/2*x**4 - 7\/3*x**3 - 5\/2*x**2 - 5. Is 13 a factor of p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**3 + a**2 - 1. Let r = 18 + -11. Suppose r = 4*v + 3. Calculate k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/8856 and 119\/72.\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 + 4*p**4 - 6*p**4 + (-2*p**2 + 2*p**2 - p**2)*(-4*p**2 + p**2 + p**2) + 7*p**2 - p**4 - 6*p**2 + 0*p**4.\nAnswer: -5*p**4 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1752654.3 months to years.\nAnswer: 146054.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -13.5. Let y = -267.78 + 269. Let g = y + -0.92. What is the third biggest value in c, -5, g, 0.14?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 23. Suppose 8*q - 4*q - h = 0. Let z(g) = g**3 - 2*g**2 - 4*g + 2. Determine z(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.44 + 0.04. Let o = -0.009 - -26.009. Let j = o - 24. Which is the biggest value? (a) j (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88961, -177857, -266747, -355625, -444485?\nAnswer: -533321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 43*r**2 - 7*r + 6. Suppose 11 + 7 = 18*b. Calculate the remainder when 63 is divided by g(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -102 and -2789794600.9?\nAnswer: 2789794498.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**3 - 3*o**2. Suppose 4*p + 277 = -p + 2*g, 5*p + 3*g = -272. What is the remainder when (p\/5)\/((-1)\/2) is divided by j(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 7, m: 11}. What is prob of sequence cc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) 0.129 (b) -0.2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 124*r**2 - 248*r + 15249. Give s(123).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*t - 8 = 2*h + 51*t, 7 = 2*h + 3*t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1)\/((-210)\/(-84)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -17*w**4 - 351*w**3 + 1155*w**2 - 1189*w + 402 = 0.\nAnswer: -402\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 4*z - 3*z)*(1194*z**3 + 399*z**3 - 596*z**3).\nAnswer: 1994*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(3) + -2))**2 - sqrt(48)) + -3)*-4*2.\nAnswer: -1992 + 1184*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 2*t + 96. Let c be -1*2*(-14)\/(-4). Let x = c + t. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2887*i**3 + 2*i**2 + 4*i + 1. Let l be t(-1). What is the highest common factor of l and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 24*q**2 + 477*q + 1239. What is o(-17)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1857689, -3715378, -5573065, -7430750, -9288433, -11146114?\n\"Answer: b**2 - 1857692*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19)\/(-5) - (-6)\/(-90)*-3. Let a be ((3 - 6)\/3)\/t. Sort -4, a, 16\/7 in descending order.\nAnswer: 16\/7, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 495467409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10)*c*c*c**(2\/29)*c)**(-45) assuming c is positive.\nAnswer: c**(9045\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 33*c**2 - 16*c - 21. Calculate y(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 27 - 9. Suppose h + 2*l = 81, l + c = 2. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 10*l = -8*l, -14*a + 3*l = -2*l + 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*d + 39*d - 136. Suppose -z + 1 = 4*l + 17, -2*z + 8 = -d*l. Solve z = 6*k - 11 - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-13)\/(-3) + -8)\/(40\/(-30)))\/((-3)\/12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-504)\/(-12))\/(-168)*(48\/39)\/(-2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340598515932*n - 5*n**2 + 340598515932*n - 7*n**2.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(-1*sqrt(6)) - sqrt(24))\/(6*sqrt(48)\/sqrt(6)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**3 - 8*i + 8. Let z = 21 + -20. Let o = z + -9. Let m(l) be the first derivative of -l**4\/2 + 3*l**2\/2 - 3*l + 1. Give o*m(c) - 3*n(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4170 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 467.9 - 1152.8. What is g rounded to the nearest ten?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cctcctcctcccccttcc.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 17. Let o be 4\/3 + 6\/i. Suppose o*d - 6 = f - 3, 4*f = 5*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.18 + -0.44. Let r = 3.74 - p. Is 1\/2 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 178326.7839\nAnswer: -178333.7839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbj. What is prob of sequence bd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.20400056464 - -12.204. What is t rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1262 + 224. Is a equal to 1487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-52)\/10)\/((-6)\/30). Suppose -2*q = 5*c - c - 14, -c = -4*q - z. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-25))**(-3))**(2\/15))**45 assuming d is positive.\nAnswer: d**450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Let w be (g\/2)\/(5\/300). Calculate the greatest common divisor of 12 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-315)\/10)*2008\/251.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16da (base 16) to base 3.\nAnswer: -22000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (sqrt(125) + 5 + (sqrt(125) - (sqrt(125) + 1) - sqrt(125))))**2.\nAnswer: -40*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 45424?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g - 65 = 0. Calculate the remainder when g is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b + 8 - 7*b + 15*b. Let y(j) = -j + 9. Suppose 3*t + 5*a - 3 - 3 = 0, 5*t - 2*a = -21. Give t*y(r) + 4*c(r).\nAnswer: -r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -465, -972, -1665, -2544, -3609, -4860?\nAnswer: -6297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -90.3?\nAnswer: 27.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/7 + 225\/56. Is s < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -8, 21, 82, 175, 300?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, r: 4, g: 1, t: 2, z: 2, s: 2}. What is prob of sequence tr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(9\/10)\/n)*n\/(n*n*n**(-2\/13)) assuming n is positive.\nAnswer: n**(33\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5733 (base 8) to base 2.\nAnswer: -101111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 6*y - 28 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58802?\nAnswer: 2, 29401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 628. Let n(k) = 635. Calculate -4*a(w) - 3*n(w).\nAnswer: -4*w + 607","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + h - 1. Let s be 54\/14 + ((-198)\/(-63) - 3). Let a(d) = -s*d + 36 - 29 - 7*d**2 - 3*d. Calculate -a(x) - 5*y(x).\nAnswer: 2*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f + 43*f + 5*a - 115 = 0, f - 3*a - 35 = 0. Suppose -2*v = -6 - f. Solve -3*g = -4*k - 19, 8 + v = 5*g + k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -13*w + 562. Let n(s) = 7*s - 282. Calculate -4*g(i) - 7*n(i).\nAnswer: 3*i - 274","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n - 6 = 0. Let v = -6 - n. Let p(x) = -4*x**2 + 18*x - 7. Let y(u) = -5*u**2 + 26*u - 8. Let k(i) = 4*p(i) - 3*y(i). Calculate k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/126 - (-654)\/54.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42011, 42006, 41999, 41990, 41979, 41966?\nAnswer: 41951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/69 and 25\/12226887?\nAnswer: 281218401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 + 55*g**2 + 48*g + 41. Calculate the remainder when b(27) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 6*t + 4. Let v be (-4*t\/8)\/(-2). Let w = 7 - 11. Sort -1, w, v in increasing order.\nAnswer: w, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 28*m - 23*m + 16*m - 24*m. Let v(x) = -28 + 15 - 5*x + 13. Give v(n(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1799123739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335 - 7*y**2 - 335.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h. Let p(l) = 1069*l**2. Determine n(p(x)).\nAnswer: -3207*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -315 + -46. Let o = -360.6 - x. What is the nearest to 1\/4 in -0.4, o, -0.03?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19513 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1) + 27 + 4 - -5. Calculate the greatest common factor of j and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209\/(-76) - 3\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2))**(2\/37))**(-4\/19)*((a*a\/a**(-1)*a)**(3\/25))**50 assuming a is positive.\nAnswer: a**(16868\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-16 + 8)) + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/810)\/(2\/18)*-30.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppep when four letters picked without replacement from eeeeeeepeepepe?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4887224*d - 4887224*d + 37*d**2 + 2.\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3708*m + 3714*m - 7428*m. Let s(l) = -11*l. Determine -5*n(o) + 2*s(o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 3*h**2 + 0*h**2)*(148*h + 794 - 761 - 81*h).\nAnswer: 67*h**3 + 33*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -11\/24 (b) -4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7)*-3*14. Let r be ((-248)\/18)\/(4\/h). Let b = r - 41. Sort b, -1, 0.5 in descending order.\nAnswer: 0.5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 56. Let r be (-2 + 24\/20)*x\/(-2). Let a(t) = -20*t - 3. Let p(c) = -7*c - 1. Determine r*a(i) + 17*p(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 19*s + 21. Calculate a(-21).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**3 - 2*y**3 - 7*y**2 + 8*y**2 - y**3 wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/11 in -0.51, -1, 3?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2340319444.\nAnswer: 2, 103, 163, 34849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 543169\/3 - 1474\/3*f + 1\/3*f**2.\nAnswer: (f - 737)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -18. Calculate the lowest common multiple of 126 and c.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2646\/(-27) - -33 - -69.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 43. Suppose -15*f = -12*f - w. Calculate the smallest common multiple of f and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n**2 - 4*n**2 - n**2)*(-n + 5*n - 5*n) - 2*n**3 - 3 + 3 - 2*n**2 + 2*n**2 - 2*n**3 + 2*n**3 - 6*n**3 + n**3 as a + u*n + v*n**3 + m*n**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 5*p**2 + 3*p**2 + 9. Let s(u) = -6*u - 4. What is the remainder when s(-5) is divided by a(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o - 8. Let v(t) = 5*t - 4. Let m(g) = 11*v(g) - 6*w(g). Let f(z) = 6*z + 23. Determine -6*f(p) + 34*m(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1441 = 47*v + 77*v + 7*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 16*h - 81. Let b be z(5). What is the nearest to -0.1 in -0.1, b, 0.7, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 29 + 11. Let k = 22 - w. What is the remainder when (-279)\/(-12) - 2\/8 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -419*r**4 + 1276*r**2.\nAnswer: -10056*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1536929\/42 + 36591. Let c = -17\/6 - k. Let l be (-2)\/(-4) - 3\/4. What is the closest to c in l, 5, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 1655\/25 - 7\/35.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 10*v**2 + 11*v - 9. Let r be m(9). Suppose f = 4*f - r. Determine b, given that -4*b**5 - 41*b**4 - f*b**2 - 8*b**5 + 14*b**4 - 18*b**3 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 193.921 - 194. Let v = -14.079 - n. Let w = v + 14.3. Which is the nearest to -2\/3? (a) 2 (b) -2\/13 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/25 + -12\/25. Let m = n - -9\/10. Let -3\/2*q**4 + m*q**5 + q**3 + 1\/2 - 3\/2*q + q**2 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 99120031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2373901\/69 - -34405. Let u = i + 2\/69. Factor 1\/3*r**2 + u*r + 1\/3.\nAnswer: (r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/203, 10, 0.5, -0.5 in ascending order.\nAnswer: -0.5, -2\/203, 0.5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29686883 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7307 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*a + a**5 + 40*a**2 - 469*a**3 + 469*a**3 wrt a?\nAnswer: 20*a**3 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929476079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 318 = 147*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (295 + -280 - (0 + -2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-345)\/(-870)*58 - 2\/1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8693 and 0.03432.\nAnswer: 0.029834376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 630 = -6*w. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/4)*(p\/(p*p**(-22))*p)\/p assuming p is positive.\nAnswer: p**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116240 divided by -20.\nAnswer: -5812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 366?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1579, -331, -5275, -14693, -30025, -52711, -84191?\n\"Answer: -240*a**3 - 77*a**2 + a + 1895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -414563*z**2 - 317963*z wrt z?\nAnswer: -829126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1222130333 (base 4) to base 8\nAnswer: -1523477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -65*o. Let f(d) be the second derivative of 5*d**3\/3 + 134*d + 1. Give f(l(j)).\nAnswer: -650*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.01, 0.5, -255, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from reerrrrrerrr?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2328523 is divided by 421?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**8*m\/(m*m**(-2\/11)))\/((m**3*m)\/m**(2\/9)))**(18\/11))**7 assuming m is positive.\nAnswer: m**(6104\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 248\/(-8)*(2 + -3). Suppose 4*f = -v + 159. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -422*p**4 + 33 + 426*p**4 + p + 190*p**2 - 2*p**3 - 191*p**2 as q*p**2 + g*p**4 + t*p**3 + l*p + b and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 7*m**2 + m + 5. Let n be u(7). Suppose 25*a - n = 21*a. Solve a*l = -0*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 17*q**2 + 19*q + 16. Determine s(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6081 - 114241 = -4*w. Suppose 33*q - w = q. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 3\/10261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5 + 1432*q**4 - 116144*q**3 - 56017192*q**2 + 282401900*q - 226270000 = 0. What is q?\nAnswer: -275, 1, 4, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 0, -1, -21, 2 in ascending order.\nAnswer: -21, -6, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*k - 4 - 3 = 0, -2*o + 13 = -k. What is the units digit of (1 + 48)\/(4\/(-2 + o))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 114\/11, -4\/3, 2\/5 in increasing order.\nAnswer: -4\/3, 2\/5, 114\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*q, 0*q + 3*q + 13 = 2*w. Suppose w*r - 5*j + j = 14570, -7278 = -r - 5*j. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1485*u**4*v**2 + 2*u**4 + u*v**2 - 977*u*v + 2*v**2 wrt u?\nAnswer: 17820*u**2*v**2 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101000001101101010000 (base 2) in base 13?\nAnswer: 201acb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4491.07 litres?\nAnswer: 4491070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13730 is divided by 191.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -13\/7, 3, 0.4, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -5, -4, 69, 0 in ascending order.\nAnswer: -5, -4, 0, 49, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5 - 65*j**4 + 195*j**3 - 135*j**2 = 0.\nAnswer: 0, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r + r + 0*r. Let i(j) be the second derivative of j**4\/3 - 4*j. Determine i(t(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 20*g - 33041 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 (base 11) in base 7?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + 1.9. What is the second smallest value in i, -1\/9, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6743? (a) -4 (b) 4 (c) 1.88 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -61552.\nAnswer: 30776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 10*n + 22*n + 20*n - 46.\nAnswer: 32*n + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*3*3\/36. Let g = 9365\/2 - 4681. What is the nearest to w in -4, 0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3\/2 - 435*q**2\/2 + 4113*q\/2 - 8505\/2 = 0. Calculate q.\nAnswer: 3, 7, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 1164*b**3 + 36360*b**2 + 312928*b.\nAnswer: 4*b*(b - 254)*(b - 44)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**8\/14 + v**6\/10 + v**5 + 717*v**4\/4 - v**2 + 29*v - 41. What is the third derivative of u(i) wrt i?\nAnswer: 480*i**3 + 72*i + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 11*q - 14. Let b be (-2)\/((-3)\/((-21)\/(-2))). Let h(y) = -12 + b + y + 3*y. Determine 8*h(t) - 3*n(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -3, -10 in ascending order.\nAnswer: -10, -3, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 29, 1\/3, 134, -7, 3\/35 in decreasing order.\nAnswer: 134, 29, 1\/3, 2\/7, 3\/35, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*w - 2*l + 25, 6*w - 5*l - 11 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.4. Let k = 42.33 + -37.33. What is the closest to -2 in k, 2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -61 (b) 0.4 (c) -12.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**2 + 2 - 8*o**2 - 3 + 3. Let m(y) = y**2 - 1. Calculate g(r) + 3*m(r).\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 6*l + 8. Calculate r(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125767 is divided by 316.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**8\/6720 + x**7\/360 - x**4\/4 + 4*x. Let g(j) be the third derivative of d(j). Find the third derivative of g(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11133203 + -2?\nAnswer: 11133201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -1805, -4066, -7231, -11300, -16273?\nAnswer: -22150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -2\/11 (b) -44\/375 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 1969100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.45 in -0.3, -0.2, 3\/11, 3, -93\/2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w**2 - 4188*w. Let n(a) = -4*a - 6. Determine n(z(v)).\nAnswer: 28*v**2 + 16752*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*z - 10, 0 = z + z. Suppose 0*r - 10 = -3*u + d*r, 0 = -2*u - r + 16. Is 100\/u*9\/6 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021708902 to 6 dps.\nAnswer: 0.021709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -13, -48, -97, -160, -237?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -34200844 * 0.4\nAnswer: -13680337.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 131 - 123 = 0. Solve s*b + 6 = -0*b - 2*p, 0 = -3*b - 3*p - 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w - 1. Let v(s) be the third derivative of 13*s**5\/60 - 1770*s**2. Give r(v(m)).\nAnswer: -143*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123784 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 150727119 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 greater than or equal to -2461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -3*p**4\/4 + 53*p. Let m(d) = -10*d**2. Determine l(m(g)).\nAnswer: -900*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18737 or 21952?\nAnswer: 21952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7749 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2*(sqrt(700)*2 + -5) - ((5 + sqrt(700)*2)*-6 + 2)) + -4)**2.\nAnswer: 5600*sqrt(7) + 46025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/12)\/1*(-215)\/(-9460).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**3 - 3*g**2 - 4*g + 7. Let w(m) = -m**3 + m**2 + 1. Let n(f) = 3*w(f) - x(f). Calculate n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 53 = 31. Calculate the remainder when 3\/4*(z + 356) + -1 is divided by 130.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*d**2*l**2*u - 3*d**2*l**2 - 438*d*l**3 - d*l - 49*l**3*u + l**3 wrt u?\nAnswer: 72*d**2*l**2 - 49*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8795, 17593, 26393, 35195, 43999, 52805, 61613?\n\"Answer: x**2 + 8795*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -3, 5, -969, -12.\nAnswer: -969, -12, -6, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5)\/((b**4*b)\/b)*b**6*b**(-4\/5))**3)**(-25) assuming b is positive.\nAnswer: b**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-2))\/(1\/(-2)). Suppose 0 = -4*n + 30 - 10. What is the second derivative of c + c**5 + 0*c**l + 0*c**n wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8924045045*p**2 - 1689880*p + 80.\nAnswer: 5*(42247*p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = f - 0*r - 4*r, f + 2*r - 6 = 0. Let z be (-1 - -3) + 4\/8*f. Find the third derivative of -20*i**2 - 1052*i**z - 12*i**6 + 1052*i**3 wrt i.\nAnswer: -1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2484815209 and 36530?\nAnswer: 2484778679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. Suppose -7 = -5*s - 2*t, 25 = 3*s - 0*t - n*t. Solve -2*k + s*b - 15 = -0*b, -6 = 5*k + 3*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33258 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2487)\/12 - (-3)\/(-4). Let n = -205 - z. Solve -2*q + 6*q - 2*v - 2 = 0, n*q = 4*v - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-5))\/((-30)\/(-45)*(-90)\/20))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = h - 3 + 4, 0 = 4*h + 2*m - 6. Solve 5*r + h = 4*j + 6, r = -3*j + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*n - 2074099 + 2069698 = 0 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + 4*(sqrt(21) + sqrt(126)\/sqrt(6) + sqrt(21)) - sqrt(2100)*-2)\/(sqrt(847) - 6*(sqrt(847)*2 + sqrt(847)) - -5*(sqrt(847)*-2 - sqrt(847))).\nAnswer: -3*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 27 = -5*d - 3*b, -3*b = -d - 1 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10643, 12793, 16371, 21371, 27787?\nAnswer: 35613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = 3*q + 3*w - 4*w, 2*q - 356 = -3*w. Let s = q + -165. Solve 5*g = 3*x - s, -3*g = 2*g + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60789\/10 + -6073. Is y < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -1589 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 - -86.99817. What is s rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1044 + -1052. Let g(l) = -l**2 + 8*l + 15. Give g(b).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u - 2*o - 62406, -4*o + 155988 = -5*u. Round u to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/45 and 88\/75?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 4:09 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.11 - -0.6. Let g = o - 6.21. Which is the fourth biggest value? (a) -1\/3 (b) -8 (c) 2\/3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.05 - -0.05. Let b = -3.10039 + u. Round b to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3488 by 32.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 - 38 = -26*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. Let a(m) = m**3 - 4*m**2 + 3*m. Let z be a(x). Suppose -t + 5*f + 35 = z, -4*t + 124 + 141 = 5*f. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 12:56 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52679*m - 2*m**3 - 52679*m + 0*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 965071.1nm?\nAnswer: 0.0000009650711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and 28086?\nAnswer: 28085.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 8 = -2*o, 36*o + 11 = -5*v + 34*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18.3*-1.23444\nAnswer: -22.590252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4)*(-2 + 4). Let l(o) = -o + 5. Let a be l(3). Is a smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:40 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9a (base 11) to base 10\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a. Let y(h) = h. Let z = -2 - -5. Let r(o) = z*v(o) - 2*y(o). Let j(i) = -i. Let x(s) = s. Let t(g) = -3*j(g) - x(g). Determine t(r(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1861 = -9*o - 1780 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -32. Put -5, g, 0, 5 in increasing order.\nAnswer: -5, 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9509*b**2 + 14*b - 11. What is the thousands digit of t(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 15\/(-27) - 69\/27?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2388.57nm?\nAnswer: 0.00000000238857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-28) + (-1935)\/35. Let a = 79 + i. Solve 5*z - g + a = 0, 2*z + 20 = g + 2*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - -15?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2177, 4291, 6505, 8819, 11233, 13747?\n\"Answer: 50*j**2 + 1964*j + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 3*m**2 + 7*m - 7. Let o be z(4). Suppose -427 = -o*s + 4*i, -3*s = 5*i - 166 - 68. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**2 + 89*f - 1368. Give z(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -0.601.\nAnswer: -3.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -85*o - 10420. Let m be p(-123). Let i = 0.53 - 0.13. Sort i, m, 1\/6 in ascending order.\nAnswer: 1\/6, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -5*l**4\/12 + l**3\/6 + 17*l**2. Let v = -2 - -1. Does 5 divide n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p + 4*l + 4, 3*p - 3*l = 15. Suppose 2*m - 3 = m. Let q(w) = 2 - 2*w + 3 - m + 5*w. Determine q(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Find the third derivative of t*x**5 + 12*t*x**2 - 6*x**6 - x**4 + 3*x**2 wrt x.\nAnswer: 60*t*x**2 - 720*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + 5 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 355164.856817 - 355165. Let t = 0.1425 + m. Round t to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 4*f - 2 - 4*f. Suppose -2*n + 4*n + 5*t = -16, -3*n + 4*t = -22. Let v(p) = p**3 + 9*p + 9. Give n*v(d) + 9*o(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*u**3 - 42*u**3 + 268*u**3 - 67*u**3 - 39*u**3.\nAnswer: 45*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 5:24 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 317*f**5 - 47*f**4 - 10*f**3 - 536*f**2 - 2*f - 986?\nAnswer: 19020*f**2 - 1128*f - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/13160 and -97\/320.\nAnswer: 105280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 140635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8*(2\/(-5) - (-20)\/40)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(2) - (-5 + sqrt(10)\/sqrt(5)) - (-1*sqrt(242)*-2 + 2))**2.\nAnswer: -108*sqrt(2) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**4 - 42*v**3 + 173*v**2 - 196*v + 76. Let k(x) = -125*x**4 + 590*x**3 - 2420*x**2 + 2745*x - 1065. Let f(b) = -55*g(b) - 4*k(b). Factor f(w).\nAnswer: 5*(w - 4)**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 2*f - 19 - f)*((0 - 2 + 0)*(2*f - 2 + 2) + 2*f - f + 0*f) - 7 - 4*f**2 + 7.\nAnswer: -7*f**2 - 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 338 - 249. Suppose 8*y = 463 + i. Which is the biggest value? (a) 0.2 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62819.\nAnswer: 62819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5214 is divided by 193.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 6 = 6. Suppose o = j + l + 2, l = -l - 4. Solve 4*y - 9*y - 25 = j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5313*b - 143726 = -7753*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -1973?\nAnswer: 196a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w - 3*s - 15, 0 = -w + s + 7. Let o be 4 + 1 + -2 + 2. Suppose -o*g = 25, -l - 4*g + 518 = -w. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2370525800 rounded to the nearest 1000000?\nAnswer: -2371000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2100*h - 15444. Give f(7).\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 2*x + 0 + 9\/2*x**2 + 0*x**3 + 1\/5*x**5 + 0*x**4. Differentiate v(q) with respect to q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - 20. Suppose y + 3*a = 50, -y - s = -2*y + 3*a. Suppose 0 = -2*q - q + 21. What is the highest common divisor of q and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572479*l + 1727572*l - 572481*l - 582609*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1965128 and 129096?\nAnswer: 17686152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82203018871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111333221 (base 4) to base 14.\nAnswer: -24b8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o + 15. Let h be q(-10). What is the greatest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/70 and 47\/45.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/(k\/(k*k**(-7))))**49 assuming k is positive.\nAnswer: k**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(2\/7)\/d)\/d)**(1\/59)*d**(-2)\/(d\/(d**(-7)\/d)*d) assuming d is positive.\nAnswer: d**(-4961\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**5\/60 + 7*w**4\/24 + 5*w**3\/6 + 2*w**2. Let v be o(7). Let s = 7 - v. Solve -5*c + 8 + s = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4606018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1 + (4 + 0 + 0)*(3 - 5 + 0))*(1246*o**3 - 832*o**3 + 2111*o**3).\nAnswer: -17675*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 3*m - 483 + 543. Let c be (1\/1)\/((-2)\/(-14)). Is c bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agzhznghgbbb. Give prob of sequence nb.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 5. Let t be a*5 + 8\/8. Let k = t + 67. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.7648 - -9.78. Let k = 6 - v. Round k to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-30) + (-26)\/(-12). What is the units digit of ((-229)\/f)\/(8\/(80\/(-5)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 4*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.670424ml?\nAnswer: 0.004670424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 13) in base 10?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 12 = 9*s. Suppose -s*k + 4*h = -h - 439, 4*h - 135 = -k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + 1*305\/45. Let v be ((-18)\/(-75))\/((-4)\/(-10)). What is the closest to 0 in -6, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 29*t**2 - 36*t - 206. Let j be p(-28). Calculate the greatest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*y - 38*y - 42*y + 122*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10174*a - 11835*a - 61457 = 0 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uau when three letters picked without replacement from uuuaawccw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -11101020000?\nAnswer: -11101020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**5\/4 + 95*c**4\/4 - 485*c**3\/4 - 575*c**2\/4 = 0.\nAnswer: -23, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-51)*-30 + -6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 91852267 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}