diff --git "a/data/dm_maths/full_data_1/10729_11255.jsonl" "b/data/dm_maths/full_data_1/10729_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10729_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort -144, 4, -2, 2.\nAnswer: -144, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**1*n))*n\/(n*(n**(2\/23)*n)\/n))\/(n**(-6)\/n*(n\/(((n*n\/n**1)\/n)\/n))\/n)*n*n**(2\/5)*n**(-3\/4)*((n*n\/(n*n**(-3)))\/n)\/n**(5\/6) assuming n is positive.\nAnswer: n**(14807\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -38, 13, 2 in descending order.\nAnswer: 13, 2, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 5 (c) 0.5 (d) 0.3 (e) -0.2 (f) 396\/125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) + -1 - sqrt(68) - sqrt(68)))**2 + -1 + 4 - (1*sqrt(68)*-1 + sqrt(68) + (sqrt(68) + (sqrt(68) - -1*sqrt(68)))*3)**2.\nAnswer: -4884 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f + 9*f + 7*f - 866*f**2.\nAnswer: -866*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 910\/(-62790) + (-5379)\/207.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:24 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232865381.\nAnswer: 7, 83, 487, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 9*u**2 + 8*u. Let m be b(-8). Suppose m = -4*q + 5*q. Solve -3*a + 8*a = q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-2) - (-1073)\/185.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -107, -138, -169, -200, -231, -262?\n\"Answer: -31*x - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 788 - 540. Let m = i + -247. Let u be (2\/42)\/((-1)\/(-9)). Put m, -3, u, -2\/3 in increasing order.\nAnswer: -3, -2\/3, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -445, -665, -881, -1093?\nAnswer: -1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1423.001195 + -1423. Round c to 5 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53831176 divided by 4\nAnswer: 13457794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + -2)*-4)**2 + 0 + (sqrt(1584)*-3 - sqrt(1584)).\nAnswer: -816*sqrt(11) + 25408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 176579 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h + 3*h**3 - 3*h**2 + 3*h**2 + 10*h - h**2 to c*h**2 + s*h + v*h**3 + t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2327*h + 18597. Determine d(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/555 + 17\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 44 = 45 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - c + 0*c)*(-9 + 23 + 43)*(0 + 0 + c)*(-4 + 0 - 4) + (4*c - 5*c + 2*c)*(-2*c - 2*c + 6*c) to h*c**2 + j*c + n and give h.\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 + 15*u - 18. Let a(q) = -3*q**2 + 15*q - 18. Let f(m) = -3*a(m) + 4*g(m). Determine k, given that f(k) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507*n**2 - 660*n**2 + 154*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*h - 138, 301 = 5*j - j - h. Suppose 3*w = 2*w + j. List the prime factors of w.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0.45. Let q = 0.2 + -0.45. Let x = o - q. Which is the closest to -1\/2? (a) x (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5079, -5081, -5085, -5091?\nAnswer: -5099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*f = 50*f + 225 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5154421 - -632?\nAnswer: 5155353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnhhhhhhnnh. Give prob of sequence nhn.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-32)*-20*4\/(-60)*6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 615 - 11071\/18. Which is smaller: v or 27?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/3, -64374, -0.03, 2\/7?\nAnswer: -64374","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.34 + -0.34. Let l = 12.9 - d. Let q = 2\/589 - -577\/3534. Which is the second biggest value? (a) -4 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9079*d**4 + 11*d**2 - 19*d - 3. Let f(n) = 2270*n**4 - 3*n**2 + 5*n + 1. Let h(x) = 11*f(x) + 3*q(x). What is the second derivative of h(w) wrt w?\nAnswer: -27204*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/3 - 170*o**2\/3 + 52*o + 336 = 0. Calculate o.\nAnswer: -2, 3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*j = 2 + 1, 2*f - 9 = j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.78 + 80.78. Let s = -62 + u. Let d = 0.17 - 0.07. Which is the closest to s? (a) -4\/5 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 34933*p - 103. Let j be v(23). Let f = -1583356 + j. Round f to the nearest ten thousand.\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 127426*c**5 + 18928*c**4 - 440856*c**3 - 315360*c**2 + 141696*c + 124416 = 0. What is c?\nAnswer: -12\/13, 18\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -4 - ((1 - -2) + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 56 = -20. Let m = -12 - -17. Let v(p) = -p**2 + 6*p. Calculate the lowest common multiple of j and v(m).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33778, 7, 0, 925 in descending order.\nAnswer: 925, 7, 0, -33778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21207*i - 4231?\nAnswer: 21207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjry when four letters picked without replacement from {c: 6, j: 3, r: 2, y: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.4 (c) 22\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 + -83. Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9198*b + 1. Let p(o) = 155*o. Determine p(i(w)).\nAnswer: -1425690*w + 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*-3)\/(sqrt(2) - sqrt(100)\/sqrt(2))*-1 + 1 + 2.\nAnswer: -3*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**4)\/m*m)\/m)\/(m**(-2\/3)*m)*(m\/(m\/((m\/m**8)\/m)))\/m*m*m**(-8) assuming m is positive.\nAnswer: m**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z = -92. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35057 rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103010201120 - -1?\nAnswer: 1103010201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*45\/18*24*16\/120.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692449.2 microseconds in minutes?\nAnswer: 0.01154082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t**3 + 4*t**3 + 2*t**3)*(243*t - 87*t - 67*t - 2821 - 87*t) as n*t + l + d*t**4 + i*t**2 + f*t**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 198094265 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l. Let h(m) = -4*m - 12. Determine h(b(a)).\nAnswer: 20*a - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22243128169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 43 = 3*k + 4*t, 3*k = -3*t + 87. Let z be ((0 - 0) + -6)*-1. Calculate the remainder when k is divided by (42\/(-9))\/((-2)\/z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285162537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cywggwyyyycgygyxwcy. What is prob of sequence ywx?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 4*r**2 + 0*r**2 + 8*r**2 - 11*r**2 - 31*r**2 + (0*r + 0*r - 2*r)*(4*r - 3*r + 0*r) as u*r + z*r**2 + b and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 830 divide 11876207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 4:37 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjijjjii. What is prob of picking 1 i and 2 j?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 501, 432, 363, 300, 249, 216, 207?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*x = d - 16, -6 = 3*x + 3*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/242 and 35\/32.\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/7 - 322098*m - 2254683\/7.\nAnswer: -3*(m + 1)*(m + 751561)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (0 - (-5 - (-3 - -2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*j + 4*j. Let i(v) be the first derivative of -2*v**3\/3 - v**2 + v - 203. Give i(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902781 bigger than 902781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-10))\/(1\/(-10)). Suppose -7*m + 2*d + 70 = -4*m, -u*m + 4*d + 114 = 0. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -10\/7 (c) 28 (d) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1144 divided by 52.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -13. Suppose 0 = -u - 3*c + 7, 4*c = w. Suppose 0 = u*f + 2*n - 60, 7*n = 2*n - 10. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.46 + 21.460246. What is m rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-57)*106\/24115*-420.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1137 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*s - 9 + s**3 + 9 to i*s**3 + c*s**2 + d*s + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d (base 14) to base 16.\nAnswer: -6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*0\/((-25)\/(-5)))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 25*z**2 - 62*z + 22. Determine r(-22).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 74746, 149491, 224236, 298981, 373726?\n\"Answer: 74745*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 806452799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 317*m**6\/60 + m**5\/15 + 49*m**3\/3 - 53*m**2 - 2*m. Find the third derivative of g(u) wrt u.\nAnswer: 3804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, 3\/8, -1.12, -0.5, -2\/5 in descending order.\nAnswer: 3\/8, -2\/5, -0.5, -1.12, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38583 take away 14.53?\nAnswer: -14.91583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062558.\nAnswer: 2, 1031279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 8. Let q = -13 - -13. Determine k(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 18. Suppose 20 = s - u*t, 4*t + 22 + 26 = 2*s. Calculate the greatest common factor of 160 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**5 + 487*y**4 - 9 - 486*y**4 + 13*y**5 + (2 - y**4 - 2)*(-1 - 2*y + 1) - y**5 + 4*y**5 - 2*y**5.\nAnswer: 13*y**5 + y**4 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1386914275 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 7:28 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, t: 2, c: 3}. Give prob of sequence tci.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74069 by -2.\nAnswer: 74069\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**2\/2 + 28*j + 683. Give v(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(4 - 7)*1. Suppose -c*f + s + 0*s + 127 = 0, 2*f = 3*s + 94. Suppose -f = -n - 21. Solve k = -4*k + n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -89\/2558564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 350 = 5*c - 2*m, -4*c - 5*m = -280. Let i = -603 + -847. Calculate the remainder when c is divided by i\/(-40) - 2\/(-2 - -10).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1017158834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 234 - 249.7. Let q = d + 15.384. Let y = -0.3317 - q. What is y rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, w: 1, o: 3, t: 4, q: 2, n: 1}. Give prob of picking 2 o and 1 q.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let k be (1\/2)\/(4\/p). Let f(q) = -q**2 + 2*q + 1. Let c be f(2). Which is bigger: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 314.789 * 20\nAnswer: 6295.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -53*r - 253. What is the remainder when 92 is divided by q(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247 and 991097?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: e38f (base 16) to base 15\nAnswer: 123da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 35*t**2 - 1047*t - 1. What is the units digit of d(56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -108.44. Let v = r - -0.44. Let w = -0.4 + 0. Which is the closest to v? (a) w (b) -0.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -4, 1176, -1\/6, -2\/9, -2\/81?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2, 26 = -2*r - 0*r - 5*d. Let s = r + 24. Suppose 41 = a - 4. What is the remainder when a is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.623 and -0.28.\nAnswer: -7.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*c + 5 = 3*c, 3*c = 5*m + 5. Solve -8 = -m*o - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20123 (base 4) in base 11?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 599.378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*d + 21. Suppose 5*u + 0*u = -5. Is 15 a factor of d\/(u\/63) - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 431874, 431870, 431866, 431862, 431858?\n\"Answer: -4*j + 431878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 2*n + 105 - 32, 6 = 5*n - o + 26 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g + 70 = 44*g. Let h = g + 36. Let n be -1 + -6*3\/(-2). Calculate the greatest common factor of h and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*d + 1598 = 113*d. Solve 0 = -d*j + 5*j - 126 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - o**2 + 4*o + 3. Let y be p(-2). Let q be (4\/8)\/(y\/(-70)). What is the remainder when 72 is divided by (-3 - 0 - -5) + q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 - -90. Let z(i) = 69715 - 69670 - 4*i - 32*i. Let t(f) = f - 1. Determine p*z(a) - 45*t(a).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1144206 = -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (16\/168)\/((27\/162)\/((-1)\/(-2)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.863855717 rounded to 3 dps?\nAnswer: -0.864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 22175 = -22112 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207472.\nAnswer: 2, 200467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -3*j**2\/2 - 4*j + 6. Let r = 35 - 32. Let a be (-20)\/(-12)*r - 0. Let l(c) = 4*c + 5. Determine a*l(m) + 6*z(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-972)\/729)\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 307 = 2263. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2223a0 (base 14) to base 10.\nAnswer: 1158696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, 5, -1, -4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6856*p**3*s**3 - 60*p**3*s - 116*p**2*s + p*s**3 wrt s.\nAnswer: 41136*p**3*s + 6*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 332\/15 in 5, -0.3, 1, -0.01, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-4) + 2)\/((-2)\/(-72)). Let f be (-1 - -4)*(210\/u)\/(-7). Which is the second biggest value? (a) -15\/7 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66717*f**2*x**4 + 4*f**2 - 17100*f + 37*x - 5 wrt x.\nAnswer: -266868*f**2*x**3 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -17*t**3 + 5*t**2 - 5*t - 5. Let n(b) be the second derivative of -9*b**5\/20 + b**4\/6 - b**3\/3 - b**2 - 3086*b - 1. Calculate -6*g(u) + 15*n(u).\nAnswer: -33*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 + 296.9847.\nAnswer: 298.5847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p = 2. Solve -3 - p = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*h - 4, -51 = -3*t + h - 0*h. Let y be 6\/(-4) - (-4)\/t. Let o = 0 - 3. Put o, 0, y in decreasing order.\nAnswer: 0, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + a + 5)*(-5*a + 0*a - 5*a) + 2*a**2 - a**2 - 3*a**2.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 19. Suppose -d = -2*s, 0 = 3*b - 0*s + s - 10. List the prime factors of (b - 2)\/(2\/104).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - n**2 - n. Let w be h(0). Does 8 divide -4 - (-1 + w - 28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((2*sqrt(88) - sqrt(88))*1 - sqrt(88)*2*-1))\/((sqrt(600)*5)\/((sqrt(30)*-1)\/sqrt(10))).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 - 440*c**4 + 14040*c**3 - 189280*c**2 + 878800*c.\nAnswer: 5*c*(c - 26)**3*(c - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 27 = -p, -119*r + 5*p = -122*r - 159 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**6\/720 - w**5\/240 + w**4\/24 - 2*w**3\/3 + 4*w. Let c(q) be the second derivative of i(q). Factor c(o).\nAnswer: -(o - 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3 - 139*p**2 - 31560*p wrt p.\nAnswer: -6*p - 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 + -2) - 2 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 274*w = -279*w - 45, -2*w - 13 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 7. Suppose 5*u + j*f = -395, -12 = 2*f + f. Let p = -49 - u. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 218*t + 492. What is h(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -39345 divided by -37\nAnswer: 39345\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39525325 - -0.18.\nAnswer: -39525324.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 366, 561, 756, 951, 1146?\nAnswer: 1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-12 + 28 + -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3451899.\nAnswer: 3, 11, 29, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11776 divided by 736\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42447, 42446, 42443, 42438, 42431, 42422?\nAnswer: 42411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -36222 (base 7) to base 5\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -21*n. Let s(u) = 71*u**2 - 289*u**2 - 77*u**2 + 59 - 59. Give s(y(j)).\nAnswer: -130095*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 + 25*y**2 + 11*y + 19. Give g(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3518657 is divided by 4101?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1418*x + 9*x**3 - x**3 - 1277*x + 2695*x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 473.8093 milliseconds?\nAnswer: 0.4738093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363280869 take away 4.6?\nAnswer: 2363280864.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016266739706 to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 170536, 170535, 170532, 170527, 170520, 170511?\n\"Answer: -f**2 + 2*f + 170535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 37186?\nAnswer: 37186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013043 (base 5) in base 13?\nAnswer: 118c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 43. What is the units digit of (m - (-1 - 1))\/4*-262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -161 - -52512142?\nAnswer: 52511651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 12*s - 35 = -5*j, -4*s = -j + 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18754, -75053, -168914, -300343, -469346?\nAnswer: -675929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 136*n**2 + 2*n + 1. Give j(-1).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*y + 5492 = 0, -4445 = -4*q - y + 17439. Suppose 3*v + 4*i - q = i, -2*v + 3642 = 5*i. Let h = 2163 + v. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112946 times 468?\nAnswer: -52858728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Suppose 5*g - 18 = -5*v + 22, -5*v + 42 = 4*g. Is (v - c)\/(2\/254) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 249 - 224. Suppose 2*w = -5*j - 3*w + t, -18 = -3*j - 4*w. Let 2\/11*p**j - 28\/11*p + 98\/11 = 0. What is p?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -551*l. Let j(n) = 1101*n + 1. Let d(z) = 3*j(z) + 7*o(z). Is d(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136853 is divided by 565.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u - 3*u)*(3 + 1 + 3).\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -1.2. Let p = 4 + -3. Let s = q + p. Which is the third biggest value? (a) 0.1 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 717024598 to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30758*p**4 + 2*p - 4921006?\nAnswer: -123032*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = -5*x + 24, 5*x - 20 = -2*c. Solve -5*m - 2*s + 14 = c, 0 = -m - s + 2*s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f**3 - 3\/2*f**4 + 0 + 243*f + 189\/2*f**2.\nAnswer: -3*f*(f - 9)*(f + 3)*(f + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -498*w**2 - 6 + 434*w**2 + 0 + 23*w + 3 - 19*w. What is m(1)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8638 - -4?\nAnswer: -8634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34868 and 798553?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*m - u, u + 2*u - 96 = 5*m. Let p be ((-5)\/(-15))\/((-2)\/m). Let h = -6 - -5.8. What is the nearest to 3\/5 in -1\/4, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1575356 = 104*c - 700268. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257 a factor of 25147483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -337150.06 rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -235, -495, -859, -1327, -1899, -2575?\nAnswer: -3355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5 + 1352*d**4 + 8158*d**3 + 17708*d**2 + 16360*d + 5456 = 0.\nAnswer: -2, -1, 682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 = -u - r - 191, 4 = 3*u + 5*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(5\/(-10)*1))\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71484753 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10)*2790\/2232)\/(6\/56).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*z**3 - 171*z wrt z?\nAnswer: 576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 > -1\/341227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1809*k**2 - 576*k + 1702703 wrt k?\nAnswer: 3618*k - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 8, h + 2*s = -s + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9*n*(n*n\/(n\/(n**16*n)))\/n)**37 assuming n is positive.\nAnswer: n**999","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17306, -34621, -51948, -69287, -86638, -104001, -121376?\nAnswer: -138763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -158, 4, -22019 in increasing order.\nAnswer: -22019, -158, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7708, -15636, -23792, -32176, -40788, -49628, -58696?\nAnswer: -67992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(13) + 0)*-6 - sqrt(13)) + -3 + sqrt(13) + 1 - (sqrt(208) + -2)*1) + 0)**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*a**2 - 200*a**2 - 149*a**2 - 108*a**2 to v*a**2 + u*a + b and give v.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*g + 476, -4*y = -4*g - 159 - 489. Suppose -3*w - 562 = -4*f + 328, -4*f - 4*w = -904. What is the highest common factor of f and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/7, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 + 7 = -5*p, -3*q = 5*p - 36. Solve -4 = 4*n + q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*w = 0, -4*v + 3*w = 140 - 122 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 y when three letters picked without replacement from {y: 16, b: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2676, -2, -24, 5 in ascending order.\nAnswer: -2676, -24, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1918 - -11471057.\nAnswer: 11469139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**5\/10 + h**4\/8 + 2*h**3\/3 - 33*h**2 + h. Let p be n(0). Solve 4*j - p*k + 8 = 0, k + 2*k = -9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*n + 24. Let w = n - -11. Let l be (3 + 0)\/(6\/64). Calculate the greatest common factor of l and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = -12*x + 35*x - 299 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31701635.433 less than -16?\nAnswer: 31701619.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15400 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -143, -234, -341, -470?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 1938?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 398, 400, 424, 482, 586?\n\"Answer: 2*g**3 - g**2 - 9*g + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-1413)\/117 - 9. Let 36\/13*o**2 - p*o**3 - 14\/13*o + 2\/13 + 16\/13*o**4 = 0. What is o?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.705, -1\/6, -3, -3\/7, -525, -6, -0.5?\nAnswer: -525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 12. Suppose -l = 4*g - 283, -4*g + 0*g - 2*l + 286 = n. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 5*t**2 + 5*t - 2. Let m be q(4). Find the third derivative of -14*o**5 - 59*o**m + 21*o**5 - 86*o**4 - 9*o**5 wrt o.\nAnswer: -120*o**2 - 2064*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (-3 - (1 + -2)). Let q(w) = w**3 - 25*w**2 + 50*w - 92. Let g be q(23). Sort m, 2, g, -4 in descending order.\nAnswer: m, 2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 + 50 - 70436*a + 56 + 48.\nAnswer: -70436*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 = 2*w - b, w - 3*b + 725 = -4*w. Suppose 0 = -n, 3*a + n + 564 = -a. Are a and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -19*i**6\/120 + i**5\/60 - 29*i**3\/6 + 48*i**2. What is the derivative of d(x) wrt x?\nAnswer: -57*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 2:34 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/4956 and -125\/55932?\nAnswer: 391524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*c**3 + 3870*c**2 - 3876*c**2 - 2*c + 2*c to the form d + o*c + t*c**2 + z*c**3 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-65 + -86)*-6649*2. Suppose l = 2*r - 2*f, -4*f = -5*r + 4891817 + 128179. What is r rounded to the nearest ten thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*u. Suppose z + 2 = u. Let d(h) = h**3 + h. Let a(v) be the first derivative of v**4 + 5*v**2\/2 - 1. Calculate z*a(o) + 5*d(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0 + 0)*(4 + 4 - 7).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-36))\/(2\/10).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 105*g**2 - 34*g**2 + 57*g**2 + 2.\nAnswer: 124*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -141 - -6. Let w = j + 55. Let t = -80.1 - w. What is the third biggest value in -12, 1\/10, t?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195750\/(-74250))\/((-1)\/11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -112708 and -3.722?\nAnswer: 112704.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2012718 by 1006359.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 17829*m - 89143. Give y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*o - 180 = -94*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*o + 20 = -4*k - 63*o, 0 = k - 4*o + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 1. Let v(a) = 4*a - 5. Let m(k) = -3*s(k) - v(k). Suppose -107 = b - f, -5*b - 2*f - 116 = -4*b. Let w = 113 + b. Determine m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:44 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/5)\/z)\/z)\/(z*z**(5\/7)*z))\/(z**1)**(2\/79) assuming z is positive.\nAnswer: z**(-11999\/2765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/10 and (1\/1 - 54)*2\/(-40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/33, -1\/22, 29578, 2\/9?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60.1334 + -60. Let o = p - 0.102. What is o rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -658, -2\/7, -1, 0, -0.2 in descending order.\nAnswer: 0, -0.2, -2\/7, -1, -658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:01 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 2924?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 - 3*d**2 + d**5 + (-1186 + 1186 - 27*d - 2*d**2)*(0*d**3 + 3*d**3 + d**3).\nAnswer: -7*d**5 - 108*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -1197?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -29, -0.1, 1\/46, -8, 5 in descending order.\nAnswer: 5, 1\/46, -0.1, -0.2, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 816895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u + 2*f = 28, 0 = 5*f + 15. Let i be (168\/10)\/((-75)\/(-250)). Let q = i - u. Calculate the least common multiple of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4301.5 from -0.4.\nAnswer: 4301.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4834201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 2496.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1046 and 548627?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 11*u**2 - 30*u - 18. Calculate k(-3).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/16)\/((-3)\/(-36)). Suppose -10*o + o - h = 0. Which is greater: o or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3113803 and 32373?\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.284 and 1.\nAnswer: 11.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + 1021120112012212?\nAnswer: 1021120112012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and 713.\nAnswer: 712.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -313101, -626137, -939173, -1252209?\n\"Answer: -313036*w - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23\/4, 29 in ascending order.\nAnswer: -23\/4, -3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*a + 79515 = -87*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 5) in base 6?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16012 + 16194. Calculate the remainder when 1280 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*c + 919, -2*r + 3*c + 2284 = 3*r. Let o = 499 - r. Calculate the smallest common multiple of 96 and o.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 5*y - 15, 0*k - 3*y = k + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16 + -20)*(-1)\/4. Let y = -55 - g. What is the common denominator of ((-20)\/(-3))\/(y\/(-60)) and -73\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2402312893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 375\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.08 and -1100 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -2161249 and 19393.\nAnswer: -2141856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 2, -36, -96, -184?\n\"Answer: -o**3 - 2*o**2 - 9*o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3 - 816*q**2 + 55488*q - 1257728 = 0.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70603 (base 13) to base 2.\nAnswer: 110001000011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9868 + 0.0132. Which is the nearest to i? (a) -0.25 (b) -4\/9 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -387184 - -660650. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -10*y + 4 + 10. Which is the second biggest value? (a) 0.2 (b) -1\/68 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i + i - 2*i)*(i - 2*i - i) in the form n*i**2 + o*i + y and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 + -238 - (-667 + (2 + 0)\/2) is divided by 131.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, 2\/7, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -101*c - 1. Let u(z) = -285*z - 7. Let d(t) = -3*a(t) + u(t). Let w(b) = -9*b + 2. Calculate 3*d(m) + 7*w(m).\nAnswer: -9*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -52. Let f(x) = x**2. Let k(h) = 4*h**2. Let t(p) = g*f(p) - 4*k(p). Let s(w) = 2*w. What is t(s(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 365*d. Let f(m) = 4659*m**2. Calculate f(v(p)).\nAnswer: 620695275*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 533991 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:08 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.2756 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64*-2*2250\/(-8). Let p = 16 - 11. Suppose 5*f = 2*l - 45000, -f + l + v = -p*f. What is f rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l + 79. Let d be a(-25). Solve -d*m + m = 2*n + 4, 5*n = -3*m + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 253522 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1265, 1261, 1257?\nAnswer: 1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 45*n**2\/2 - 6*n + 133. Does 21 divide m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206709 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18e644 + -2?\nAnswer: 18e642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 + (0 - 2) + 0. Suppose -4*s - 3*w = -32, -f = -3*s - 2*s + 4*w. Suppose -s*z + 3 = -7. Solve 0 = -z*q - i + 5 + 3, -i + 14 = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 3*a**2 + 10*a. Let b be q(-5). Suppose -5*r + 30 - 10 = b. Solve 3*i - r*i - 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1 + 34 = 0. Suppose -b*k + 63 = -2*k. What is the units digit of 6*k\/((-84)\/(-32))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*1*-2 - -2*1*sqrt(91))\/(sqrt(28)\/sqrt(4)*-2 + (sqrt(7) - (2*sqrt(175) - sqrt(175) - sqrt(7)) - sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**3\/2 - 27*g**2\/2 - 3*g + 72 = 0.\nAnswer: -8, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n + 463 + 235 = 126 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 136136394 a multiple of 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6cca - 13997?\nAnswer: -999a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o + 8*o - 5947 + 5065 = 0 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9741300)\/(-44) + (8 - (-180)\/(-22)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 15 = -6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 - 6*n**4 + 91*n**3.\nAnswer: -n**3*(n - 7)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 16*w**2 + 4. Let k(s) = s**2 + 1. Let i = -1062 + 1063. What is i*t(b) - 5*k(b)?\nAnswer: 11*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 12 = -7*h. Let w be (-20)\/(-4) + 0 + -2. Sort w, h, -1 in ascending order.\nAnswer: h, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j, 0 = -3*s + 2*s + 4*j + 3. Let o be (s - (1 + -1)) + 101. Let g = 786 - 773. Calculate the greatest common factor of g and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose 0 = 5*q + 5*m, 3*m + 12 = q - i*q. Let z be (-6)\/(-14) - (-128)\/28. Solve z*j - 2 = q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b + 558 = 36*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**4\/12 - 11*d**3\/6 + d**2 + 42. Determine g(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60951.2*1.55.\nAnswer: 94474.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + 2.03. Let k = w + -2.02. Let s = k - -1.02. Which is greater: s or 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 + 1 + (-4 - -7 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, v: 2, p: 1, c: 1, i: 3, z: 8}. Give prob of picking 1 v and 2 i.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/10)\/(4\/(-10)). Let o(y) = y**2 - 2*y - 1. Give o(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/2688240 and 68\/345.\nAnswer: 2688240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7629 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117*w**3 - 40 with respect to w.\nAnswer: -351*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -308, -8, -1, 2 in decreasing order.\nAnswer: 2, -1, -8, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -164*l + 11. Let v(b) = -83*b + 6. What is -4*c(q) + 7*v(q)?\nAnswer: 75*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c = -30. Let k(l) = l - 1 - l - l**2 - 4*l**3. Let a(o) = -o**2 - 3*o**3 - 40 + 39 + 0*o**2. What is c*a(t) + 5*k(t)?\nAnswer: -2*t**3 + t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*p**4 + 32*p**3 - 19*p**2\/2 - 8*p + 7\/2 = 0. What is p?\nAnswer: -1\/2, 1\/2, 7\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*u - 15*u - 4*u**3 + u**3 + (u**2 + u - u)*(-4*u - 16*u - u) + (-1 + 2 + 2)*(2*u - 2*u - 2*u**3).\nAnswer: -30*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 36*c**3 - 9*c**2 + 13*c - 14. Let w(a) = 36*a**3 - 8*a**2 + 11*a - 12. What is -6*j(s) + 7*w(s)?\nAnswer: 36*s**3 - 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*b - 2894, 390 + 1042 = -2*b + 4*z. Let t = b + 1065. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggvogovggvgggvtso. Give prob of picking 1 v, 1 t, and 1 o.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 6:19 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and (-50)\/7*(-11 - -9)*14.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3360 and 87.\nAnswer: 292320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 24362241 to the nearest one hundred thousand.\nAnswer: 24400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 0*i**2 + 0*i**3 + 2*i**4 + 1 + 1\/5*i**5 + 0*i. Determine u so that l(u) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/2 and 67\/4320?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -254 + 254 + 5*o + 0*o. Let j(n) = 230 - 111 - 119 - 10*n**2. Calculate j(s(x)).\nAnswer: -250*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h - 7370 = -l, 0 = 4*l + 4*h - 29480. Let n = -307 + l. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:54 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3))**(3\/29))**(-50)*((f*f*f**(-4)\/f)\/(f**(-1)\/f))**(-22\/5) assuming f is positive.\nAnswer: f**(1138\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {z: 2, v: 2, p: 1, s: 5, b: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 783240.1 + -1.4?\nAnswer: 783238.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u - 4. Let i be m(3). Let b(y) = -y + i*y**2 - 4 - 15*y**2 - 8*y - 4*y. What are the prime factors of b(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 186 (b) -0.2471 (c) -5 (d) -1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 10 + 2. Suppose u*d = d + 4*n + 23, 5*d = -3*n + 19. Let g(t) = t**3 - 5*t**2 - 3*t + 7. What is g(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9052 = 148*l + 16452 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, -0.06, 2\/9, -1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264180 - -616180. What is a rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t**3 + 37*t**2 - 6*t + 55. Let x(q) = 5*q**3 + 19*q**2 - 3*q + 28. Let c(s) = -4*o(s) + 7*x(s). What is the units digit of c(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1011.\nAnswer: -404.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t - 68. Let j be b(-10). Are j and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4311499 + -112204?\nAnswer: -112203.5688501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25648 and 0.84.\nAnswer: 25648.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6189*h - 6238*h + 196 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -679, 44\/9, 121 in decreasing order.\nAnswer: 121, 44\/9, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 17 + 0*l - 14)*(-2 - 4 + 4).\nAnswer: 6*l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 7*k - 7. Let c be t(5). Suppose 3*w - 8*w - 25 = -5*h, -c*h = 2*w. Let v = w - -3. Solve 4*f - 18 = -2*g, v = 6*f - 2*f + 4*g - 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from dhhhdhhh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 1267984\/(-42389) + 4\/(-46)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**4 + 22*i**4 - i + 39*i**2 - 416*i**3 - 107*i**2 + 419*i**3 wrt i?\nAnswer: 408*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/7 - 115*t\/7 + 354\/7.\nAnswer: -(t - 3)*(t + 118)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 - 2*d - 2. Let p be k(3). What is the common denominator of 97\/12 and 120\/108*(-96)\/p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1575, -3976, -10421, -22908, -43435, -74000?\nAnswer: -116601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 21*h**2 + 23*h - 285.\nAnswer: (h - 3)*(h + 5)*(h + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 + 1 + -2 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488.216t in nanograms?\nAnswer: 1488216000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*x - 20, -2*h - 19 = -9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-17 + 4)*16. Is d at most 209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 98 = 4*u. Suppose -u*s + 14*s = 1316. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65 (base 7) to base 6.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.8615 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*h - 1219 - 685, -4*a = h - 7490. Is 1874 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 11\/541621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/((m*m**7)\/m))\/(m**(3\/5)\/m**(-4)))**5 assuming m is positive.\nAnswer: m**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 2*v - 12.\nAnswer: 2*(v - 3)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 952 and 141944?\nAnswer: 16891336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 14900876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-19) + 10\/8\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2021 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i + 435 - 9*i**2 + 450 - 885. Let x(w) = 6*w. What is y(x(j))?\nAnswer: -324*j**2 + 36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**4\/24 - 3*m**2. Let a(t) = -4*t**2. Let r(f) = -3*f**2. Let q(k) = 6*a(k) - 7*r(k). Give q(c(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q = 26*q. Suppose q*m + 97 = m. What is the remainder when m is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14493281461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3384 - -3388. Solve 2*l = -r, -19*l - 19 = 5*k - 22*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.936603 * 12\nAnswer: 11.239236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18\/30*(-12)\/54\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 340491292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -96808*q + 774462. Calculate v(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32*(1932\/112 - 18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12656333 to the nearest integer?\nAnswer: 3558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -198903 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**5 - 75*v**4 + 588*v**3 - 672*v**2 - 9984*v + 30720 = 0?\nAnswer: -4, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - a3?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2483 rounded to three dps?\nAnswer: 0.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/42)\/(234\/(-819))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + j + 1\/4*j**5 + 13\/4*j**3 + 3\/2*j**4 + 0.\nAnswer: j*(j + 1)**2*(j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 10) in base 16?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-56) + (-148)\/(-14). Let k = 7 + -5. Suppose -k*p + i = -p. Calculate the remainder when 19 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:14 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*x = 122, h - 68 = x + 70. Suppose -3*w + 0*w + h = 2*a, -a + w + 72 = 0. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -101? (a) -0.2 (b) 2.8 (c) -30 (d) 5 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/5)*h**(-8\/9)*(h\/(h**(2\/61)*h))\/(h\/h**20) assuming h is positive.\nAnswer: h**(51272\/2745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i**(1\/8)*i)*i))\/i)\/(i**(-21)*i))**(-1\/12) assuming i is positive.\nAnswer: i**(-51\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**45\/(t*t*((((t**(-48)\/t)\/t)\/t)\/t)\/t))**(1\/19))**31)**(-2\/39) assuming t is positive.\nAnswer: t**(-1984\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/35 + 1\/(-5). Let h = 25 - 24.8. Put i, h, -9 in descending order.\nAnswer: h, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2299*r + 43456. Determine q(-19).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2026342620 - 463.6?\nAnswer: -2026343083.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*o**2 - 51*o**2 + 10*o**2 + (-11*o - o - 6*o)*(0*o + 2*o - 4*o) + 11 - o**2 - 11.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/21 - (-1320)\/56. Let o = -17 + b. Differentiate -7 - 5 - o*t**4 + t**4 wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -0.1 (b) 96 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4966798.94 to the nearest one hundred.\nAnswer: -4966800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 2 + -11)\/1. Let r be (12\/75)\/((-65)\/25 - -3). Suppose 2*a = -8 - 0. What is the smallest value in k, r, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d**3 + 11*d**3 + 20*d**3 + (91 + 8 - 8)*(0*d**3 - d**3 - d**3) as r + w*d**3 + i*d**2 + s*d and give w.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 + 232 - 728 - 6*p**2 - 6*p**2 + 244.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*q = 153*q - 623. Let w = 712 + q. List the prime factors of w.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47958543 divided by -5.\nAnswer: 47958543\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 16, 29 = 8*h + 3*f + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r - 43. What is o(11)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 - (-5)\/15. Let p be 0\/(d - (-1 + 2)). Suppose p*l = 5*l + v + 29496, -4*l - 23612 = -3*v. Round l to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4045 - -62572?\nAnswer: 66637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 521*x**5 + 2*x**2 - 154*x?\nAnswer: 10420*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (7 - (1 + -5 - (-28 - -17)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1767 + -4?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**2 - 124*z - 293. Determine k(-36).\nAnswer: -1013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 56\/13, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24599, -49190, -73687, -98042, -122207?\n\"Answer: 8*z**3 - z**2 - 24644*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 2*g - 3. Let h be u(2). Let x(d) = 4*d + 3. Let s(l) = -l**2 + l - 1. Let k(p) = -3*s(p) - x(p). Let n be k(h). Round n to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i + 5. Let w(s) = -28*s - 22. Give 26*a(j) + 6*w(j).\nAnswer: 14*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9230 divided by 5.\nAnswer: 1846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 87\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -47, 3 in descending order.\nAnswer: 4, 3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ellqeellellell. Give prob of sequence eel.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 11*j - 60*j. Solve -5*y + 2*t = 54 - 48, 2*y = -j*t + 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.305222 rounded to 1 decimal place?\nAnswer: -189.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-7 + -1 + (47 - 50) - -12) + 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.3505*-8649.\nAnswer: 89521.4745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -1\/27, 2\/7, -8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**6\/24 - 3*u**5\/10 + 13*u**4\/8 - u**3 - 25*u**2\/8 + 9*u\/2 + 323. Suppose y(l) = 0. What is l?\nAnswer: -9, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25\/4 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 28. Suppose -h - 38 = 2*x + 2*b, -51 = 2*x + b. List the prime factors of (-287)\/x*(-1 - -5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = 5*a - 150. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -117*j**5\/20 + j**3\/3 + 63*j**2\/2 + 296*j. Find the second derivative of t(n) wrt n.\nAnswer: -702*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppypppppyppp. What is prob of sequence pp?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3767923194760 - 0.59.\nAnswer: -3767923194760.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 501*w\/4 + 7416.\nAnswer: (w + 96)*(2*w + 309)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-3)*(3 + -8). Suppose 0 = -0*x + 3*x + 4*c + 10, 0 = -g*x - 3*c - 2. Suppose x*r = -r + 30. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 103*g + 81. Let s be b(3). Round s to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o**(-18)\/o))))\/((o*o**(-1\/10))\/o*o)*o**(5\/3)\/o*o*o**12)**(3\/32) assuming o is positive.\nAnswer: o**(983\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 29*l**3 + l - 118. Let i(m) = 58*m**3 + m**2 + 3*m - 234. Let x(w) = -2*i(w) + 5*r(w). What is the second derivative of x(z) wrt z?\nAnswer: 174*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from {c: 9, q: 3, g: 1, a: 3, f: 1, r: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -624 divided by 2?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 3, -7, 3822, 0 in decreasing order.\nAnswer: 3822, 3, 2, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d = 30*d - 30. Let h(i) = 8*i**2 + 8*i + 50. What are the prime factors of h(d)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 - 28*a - 30. Let y(i) = 4*i**2 - 28*i - 29. Let u(t) = -3*s(t) + 4*y(t). Suppose u(n) = 0. Calculate n.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1149, -1147, -1145?\n\"Answer: 2*q - 1151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7, -1\/5, -3\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/564 and 125\/234.\nAnswer: 21996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/20921? (a) -0.1 (b) 4 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10110?\nAnswer: 2, 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**5\/5 - 336*m**4\/5 + 2768*m**3\/5 - 8384*m**2\/5 + 11232*m\/5 - 5632\/5 = 0.\nAnswer: -176, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.369 - 0.631. Let d = -2 - -2. Which is the closest to 1? (a) l (b) d (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*r + r. Calculate the remainder when 87 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 13) to base 16.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, d: 1, y: 5, q: 3}. Give prob of picking 1 y, 1 d, and 2 q.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/31)\/((-2)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 4 = 0, -2*i - 5*m + 80 = 0. What is the greatest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = p, -2*l + 0 = -5*p - 9. Let w be 0*l\/(-18)*3. Solve 0 = 4*o + 8 - w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 60.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4\/4 + 19665*t**3\/2 + 7366650*t**2 + 1926140120*t + 169919064480.\nAnswer: 5*(t + 268)**3*(t + 7062)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/(-30))*(-1)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and -2998.\nAnswer: 74950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 704 and -8.\nAnswer: -5632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.015 and -0.05?\nAnswer: 8.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x = 2794 - 2605 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2197*h - 70278. Determine f(32).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 - 0.5?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.9 (b) 90 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 1 + 7. Let a be (2 - (1 + r))*5. Let g(z) = z**2 - 111*z - 1 + 53*z + 61*z. Determine g(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 3. Let k(r) = 76*r + r**2 - 260*r + 2 + 97*r + 84*r. What is k(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 483*u**2 - u - 96 wrt u?\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1401131423 + 11?\nAnswer: 1401131434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 9, 4, 0.1, -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4326.42 - 4370. Let s = x + 44. Round s to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6678 divided by -2.\nAnswer: -3339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 3*i**2\/2 - 7. Let g(s) = -s. What is y(g(x))?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7772 + -54408\/7. Let p = -27.1 - -26. Let k be (-2)\/3 + (-10)\/(-12). Sort p, k, m.\nAnswer: p, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4725\/(-63)*3\/15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-234)\/40 + 186\/1860)*(-5 + 1)*1. Let g be 1\/(-2) - (-22)\/4. Solve 7*a + g = -k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 222\/(-148)*(1 - 13\/3). Let k(g) = 2*g**3 - 7*g**2 + 2*g - 2. List the prime factors of k(x).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:33 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2517544 = -2*n - 11*n + 5*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2 - 283*b - 40248 = 0.\nAnswer: -104, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 44. Let t = -532.7 - -512. Let y = t + l. Which is the closest to -1? (a) 2\/5 (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84192, 83804, 83146, 82212, 80996, 79492, 77694?\n\"Answer: -x**3 - 129*x**2 + 6*x + 84316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/20*4 - -3*1. Let u(p) = p**3 + 5*p**2 + 2. Let b be u(-5). What is the remainder when 30 is divided by 9 + (m - b - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 4*b + 932 - 954 + 59*b**2 to z + n*b**2 + o*b and give n.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/12019 and 87\/4.\nAnswer: 48076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8193508 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -32. Let v be d\/(-14) + (-15)\/6. Let c be 70\/98 - v\/7. Solve 3*k + 2 = -2*t, -c = 2*k - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2103284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 821374*x**3 - 3*x**2 + 88462*x**3 - 318621*x**3.\nAnswer: -1051533*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -61319*p + 30722*p + 30751*p. Let l(h) = -9*h**2. Calculate s(l(t)).\nAnswer: -1386*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6967 (base 13) to base 12.\nAnswer: 8684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f**4 - 4314*f**3 + 1728*f**2.\nAnswer: -3*f**2*(f + 288)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 0 - 4\/7*b**3 - 24\/7*b**2 - 32\/7*b = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/36288 and -29\/26832960.\nAnswer: 241496640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.92 - -0.08. Put -5, 2\/5, p in ascending order.\nAnswer: -5, 2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*p - 3*p + 27, 3*p - 3*h = -45. Let w = -33 - p. Let b = w + 42. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k + 894 = -4*n, -463 = -k - 2*n. What is the highest common factor of 35 and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from uhushuhuuhhhuhh?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -233103 (base 4) to base 3\nAnswer: -11011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/2)\/g*(g*g**(2\/27)*g)\/g)\/((g*g*(g**(1\/3)*g*g*g)\/g*g)\/g)**(1\/27) assuming g is positive.\nAnswer: g**(-581\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -14*r**2. Let u(m) = 19780*m. Give o(u(s)).\nAnswer: -5477477600*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*g**4 - 8*g**3 - 2*g**2 - 28*g + 17?\nAnswer: -864*g**2 - 48*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 48, 204, 468, 846, 1344, 1968, 2724, 3618?\n\"Answer: n**3 + 48*n**2 + 5*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 89.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.57 - -0.39. Let j = q - -0.04. Which is the third smallest value? (a) 0.4 (b) 0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 1 - 2\/(-2). Let h = 23 - x. Suppose -3*l + h = -l. What is the remainder when 37 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**6\/180 - 11*o**3\/3 + 5. Let i(s) be the third derivative of d(s). Let u(h) = 9*h. Calculate u(i(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 2)*(-820*i + 11 - 2 - 11).\nAnswer: -4100*i - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 47 = -5*q, 0 = -5*y + 125569*q - 125566*q + 41 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12030 + 15992. What is the highest common divisor of d and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 10461?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 404467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -11. Let j be 9 - 6\/9*n. Solve -j*p + o = -p + 16, -3*o = 3*p + 27 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(-140*d + 69*d + 84*d) + 70*d + 1876 - 1876 + (2 - 2 - 2)*(-4*d + 0*d + 3*d) + 4*d - 3*d + 0*d to x*d + y and give x.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(-4*sqrt(16)) + -6*(sqrt(187)*-3)\/sqrt(11).\nAnswer: 143*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101\/290 + 3\/58. Let q(r) = -r**3 - 5*r**2 - 5*r - 1. Let p be q(-4). Suppose 0 = -b + 3*c + 6, p*b + 0*c = -2*c - 15. Is x greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 266\/171 + 3761\/(-2412). Which is smaller: x or 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 75*d**2 - d. Let g(i) = 6*i. What is q(g(c))?\nAnswer: 2700*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pccp when four letters picked without replacement from {c: 18, p: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*j - 106 - 2, -2*g + 50 = -3*j. Let y = g + -30. Let r(l) = 2*l**3 + 10*l**2 + 18*l + 32. Let d be r(-4). Is d at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 23 = 3. Let m(s) = -s**3 - 9*s**2 - 8*s - 1. Let f be m(-8). Let y be f\/4 + -42*3\/(-24). Put l, y, 3 in descending order.\nAnswer: y, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0538 - 159.9462. Let x = 249.235206832 + -409.23520628. Let a = x - z. Round a to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n - 0. Let c be (-1)\/(-2) - (-3)\/n. Let d = 17 + -1. Solve c*x + d = 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**2 + 116810*v - 682228805 = 0.\nAnswer: 11681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5786924200 to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 c when three letters picked without replacement from oolsolcfsgfl.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(42) - sqrt(168)\/sqrt(4)))\/sqrt(6)*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2580, -2597, -2624, -2661?\n\"Answer: -5*u**2 - 2*u - 2573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 2:00 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 62*l - 23. What are the prime factors of w(4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -240334?\nAnswer: 240326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24024942701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3557 (base 9) to base 4\nAnswer: 221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -154, -3\/5, -0.1, -2?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77772 rounded to 3 decimal places?\nAnswer: 0.778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/n**0)\/n)**(2\/95))**30)**45)**(-32) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:36 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*17\/459*-56\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t - 3. Let l(z) = -5*z - 4. Let x(s) = -4*b(s) + 3*l(s). Let w be 407\/22 - (1\/2)\/(-1). Let m(o) = -19*o - 2*o**2 + 0*o**2 + w*o. What is x(m(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 10*j - 9. Let r be f(6). Suppose 5*h + 5*y = 100, 4*h - y - 95 + r = 0. What is the lowest common multiple of h and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*t**2 - t**2 - 11*t**2 to d + f*t**2 + w*t and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 82\/6 + (-12)\/18. Suppose 65 + w = 2*g. Find the third derivative of 74*p**5 - 6*p**2 - g*p**5 - 15*p**2 - 49*p**5 wrt p.\nAnswer: -840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22211200102201 - -12?\nAnswer: 22211200102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29969 - 0.3. What is t rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 * -0.04.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 + 90*g**4 + 165*g**3 + 80*g**2.\nAnswer: 5*g**2*(g + 1)**2*(g + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5201 - 104133?\nAnswer: -54532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/15)\/((-1)\/(-10)). What is the least common multiple of (-3)\/(-1 - 2)*t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -934, -1, -0.1, -4, 4\/7.\nAnswer: -934, -4, -1, -0.1, 0.1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwjw when four letters picked without replacement from jjjjjjjjwjjjjjww.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypyyyynpynnnyny. What is prob of picking 1 n and 1 y?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**8\/14 + f**4\/6 + 3*f. What is the third derivative of g(t) wrt t?\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -154 (b) 0.5 (c) 1\/5 (d) -19 (e) 50 (f) -1\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*j - 477*j - 128*j - 660 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4045426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 629698, 629696, 629694, 629692, 629690?\n\"Answer: -2*f + 629700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*i - a, 17*a - 18*a - 78 = -5*i. Suppose -4*m + 5*l - 82 = -41, 5*m + i = -l. Sort -2, 4, m.\nAnswer: m, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5134830 or -5134822?\nAnswer: -5134822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-20 - -4)) + -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 395.2 - 355. What is r rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j - 3*j + j)*(-3 + 2 + 3 + (3 + 1 - 2)*(7 + 3 - 2)) in the form r*j + f and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 2, 1, -3.\nAnswer: -9, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vil when three letters picked without replacement from {v: 2, z: 2, i: 4, p: 2, l: 2, o: 2}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1310 + 10?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 14*v**2 + 4*v - 2. Calculate the lowest common multiple of 7 and z(-2).\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1667, 1665, 1673, 1697, 1743?\nAnswer: 1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1991\/17 + 117. Let y = 5222999\/204 + -25603. Let k = y + 5\/34. What is the second smallest value in -1, k, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 3. Let i(p) = -p**3 + 6*p**2 - 5*p + 5. Let f be i(6). Let v = 21 + f. Sort w, v, -2 in decreasing order.\nAnswer: w, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 320, 84, 2, 0.2, -3.\nAnswer: -3, 0.2, 2, 84, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 30)*(109\/3 - (12 + 24)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3334 - 6824. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 94595*s**3 + 40129 wrt s.\nAnswer: 283785*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*z - 1075*z = 354*z - 37656 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87990 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8378, 16748, 25118, 33488, 41858, 50228?\nAnswer: 58598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 180974531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 10. What is the tens digit of r\/4*(-12 - 16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1063, -1245, -1427, -1609, -1791, -1973?\n\"Answer: -182*n - 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2104?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - ((-11 - -14) + 5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*x - 48, 80 = -2*n + 7*n - 2*x. Let o = 1271 - 1267. Solve 0 = -4*q + 3*j + n, -4*q = o*j + j + 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5\/8 - 3*d**4\/2 + 3*d**3 + 24*d**2 + 42*d + 24.\nAnswer: -3*(d - 4)*(d + 2)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/9 - 35595342*b**2 - 4276220809220266*b\/3 - 12828662107302722\/9 = 0?\nAnswer: -80089519, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430 - 146 = -4*n. Suppose 0 = -11*c + 3*c + n. What is the highest common factor of 144 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69579 or 69600?\nAnswer: 69579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from {u: 3, j: 1, z: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135339*i**3 - 761*i**2 + 24 wrt i?\nAnswer: 812034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**(-1\/5)*o*o)\/o**(-2\/35) assuming o is positive.\nAnswer: o**(184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 3)*1 + (sqrt(112)*-2 - sqrt(7)) + -1 + (6*(sqrt(175) - (2 + sqrt(175))) - sqrt(175)).\nAnswer: -13*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 162948915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2201\/4 + (-1)\/4. Round t to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 1. Suppose -20 = -2*l - 2*l. Let b(t) = -4*t + 10. Let y(h) = l*g(h) + b(h). Let r be y(-11). Let c(i) = -4*i + 1. Give c(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346044.56 hours in weeks?\nAnswer: 8012.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 890543 greater than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -802\/6943, 1.\nAnswer: -0.2, -802\/6943, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7335.\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 2075496.\nAnswer: 2075496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -16*b - 5. Let y be v(-1). Suppose 0 = -5*n + y + 9. What is the common denominator of -40\/7 and 700\/110 - n\/1?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1054829, 1054764, 1054699?\nAnswer: 1054634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*a + 643*a - 90 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 13*i**6\/6 - 44*i**5\/5 - 2*i**3\/3 - 77*i + 631. What is the third derivative of z(s) wrt s?\nAnswer: 780*s**2 - 1056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - f + 1. Let n(l) = 6*l**2 - 9*l + 9. Let y(t) = -9*c(t) + n(t). Let j = 11 + -9. Let h(a) = 2*a + j - 2 + 0. What is y(h(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i + 103 = 46 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0783 from 63.\nAnswer: 62.9217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73754 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 7\/4 (c) 3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9668, 9680, 9690, 9698, 9704, 9708?\n\"Answer: -l**2 + 15*l + 9654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 918, 0.04, -0.2, 0.5, 3 in decreasing order.\nAnswer: 918, 3, 0.5, 0.04, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(1*sqrt(65) - sqrt(65)))\/(sqrt(180) + sqrt(180) + (sqrt(180) - 3*sqrt(180)) + sqrt(180))*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/(-44)*-24*6\/42.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 464 - 459. Sort p, 58, 2, 3 in descending order.\nAnswer: 58, p, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1 - 2) + 577 + -582 + 7 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 26*y - 22. Let m = -2 + 9. Calculate the lowest common multiple of m and v(-14).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(0 + sqrt(1872)) + sqrt(1872) - (sqrt(1872) + -4*(1 + sqrt(1872))))**2 - ((0 + sqrt(1872))**2*1 + 3*sqrt(1872)*-2))*3*-1*-6.\nAnswer: -2160*sqrt(13) + 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/((-6)\/171). Let n be 3 - (9 - (5 + -2)). Let b be (76\/18*n)\/(4\/(-6)). Calculate the highest common factor of s and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 * -0.27.\nAnswer: 11.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26936011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 2 = 4*q. Let l be 12\/q*(-120)\/(-36). Suppose -4*c - 4*k + 24 = k, -2*c + l*k - 14 = 0. Which is greater: c or 3\/104?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205454 is divided by 1370.\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 1, 0, 0.1, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {f: 5, g: 4, k: 1, z: 5, e: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -9. Suppose -3 - 11 = g + 5*h, d*h + 15 = 0. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-112)\/24)\/(4\/(-174))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 2634531416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 33*p - 15 + 193*p.\nAnswer: 226*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let i be (-12)\/(-9)*(2 - y). Suppose 4*x - 20 = -0*x. Solve x*u - 1 = i*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, x: 3, l: 2, u: 1, i: 4, k: 1}. Give prob of sequence xlli.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**8\/336 + k**7\/210 + k**6\/40 - k**5\/60 - k**4\/12 + 92*k**2 + 2*k. Suppose q(i) = 0. Calculate i.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 >= 210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 7:48 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1652585 divided by 5\nAnswer: -330517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0.06, 1\/6 in descending order.\nAnswer: 1\/6, 0.06, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 245 - 215. Calculate the greatest common divisor of 210 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12*((-4)\/(-2) + -3). What is the units digit of (-3)\/w - 540\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/14 + (25056\/(-203))\/9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -54c + 2824?\nAnswer: 22a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(38 - 224312\/5896)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 24 = 3*h. Let q = h - 6. Which is greater: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r\/(r**37*r))\/r)\/r)**(12\/11) assuming r is positive.\nAnswer: r**(-444\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 196 + -191. Is -0.3 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -25 + (-16 + 4 - (-77 - -66))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*1 - (232 - (8 + -4)). Let u = -222 - l. Solve -u*d = -d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2340 - -2340. Solve -5*c = z + 14, b = 3*c + 4*z + 6 - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00392131478 to 5 dps.\nAnswer: -0.00392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -84, -248, -556, -1056?\n\"Answer: -8*c**3 - 12*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24971 is divided by 8305?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10054*t**2 + 9633 wrt t.\nAnswer: -20108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -951.45 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-4)*(-16)\/4)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0*w**3 + 0*w**2 - 5\/12*w**4 + 0 - 1\/5*w**5 - 2*w. What is the third derivative of j(a) wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*k + 11 = -1, 4*k - 15 = 5*o. Which is the closest to 2\/7? (a) -2 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 978.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 8*u = -3. Which is the nearest to -3? (a) u (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.16 from 566.291539598.\nAnswer: 566.451539598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639978779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdcpcpdfcccdf. Give prob of picking 1 f and 2 d.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 95 (c) 4 (d) 2\/9 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.4, 5, 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.3 + 0.032.\nAnswer: -6.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6046\/7 - -864. Which is the third biggest value? (a) -4 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.1 (b) -2 (c) 0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 91*t**2 + 3*t - 11. Let x(u) = 3*u**2 + 24*u + 4. Let v be x(-8). Is 47 a factor of h(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxd when three letters picked without replacement from wxrdd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128.96 + -3.04. Let v = -131.999918 - l. Round v to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 8:00 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5 - 4*i**4 + 156*i**3 - 124*i**2 - 280*i = 0. Calculate i.\nAnswer: -7, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -0.5. Let i = n + 0.2. Let o be (0 - 1)\/(475\/(-285)). Which is the biggest value? (a) o (b) 2\/27 (c) i (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.3, 4.52, 3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*i**2 - 60*i - 154*i - 269*i**2 + 34*i - 519*i**2 - 2.\nAnswer: -559*i**2 - 180*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 4*a + 4, -4*j - 2*a + 28 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooooooooeooeeo. What is prob of sequence ooeo?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1*(-5 + 10 - 1170). Let v = -807 + l. What is the remainder when v is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(-1*(-3)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/6 - (-2)\/(-4). Suppose 0 = -f*x + 24 - 4. Suppose -2*t - 5*r = -r - 30, -3*r = -x*t + 38. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*m = -116*m - 125*m + 48. Suppose -68 = -2*v + 16. Calculate the highest common divisor of v and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40334 + -26386. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 29844.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 20 = -2*g. Let v = g - -22. Let c = v + -20. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*z + 15 = -124*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnccnnnnh. Give prob of sequence hcc.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 9*r + 12 - 9)*(2*r**2 - 5*r**2 + r**2) to h*r**2 + n*r + w*r**3 + d and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -401, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) 14\/51 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/4, -2\/11, -7.\nAnswer: -7, -1, -1\/4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1158421.2 and -1.\nAnswer: 1158421.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (252\/30 - (5 - 15\/(-5)))*80. Solve -1226*x + 1230*x = -c for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 67, -157*y + 177*y + 154 = -2*g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -48 + (1187 - 1137). Let g be 5*(4\/(-10) - -2). What is the second smallest value in -0.3, s, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 30 = 10*a, 5*a - 7*y + 12*y = -15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3013010 + -3?\nAnswer: -3013013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 51, 140, 267, 432, 635, 876?\nAnswer: 1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 7) + -28 + 7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -v + 20, -4*b = -25*v + 21*v. Solve -2*l + 5*l + 6 = -2*i, 2*l + b*i + 20 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8824.26+0.4\nAnswer: -8823.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let y = 6.9 - 7.1. Sort d, 0.2, y in descending order.\nAnswer: 0.2, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27909817271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-81)*9*10\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + t - 877 = 0, -701 + 2435 = 4*o - 2*t. Let z = o - -379. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 29*c - 42. Let d be t(-26). Let z(b) = -2*b**2 - 15*b + 4. Let s be z(-12). Let h = -56 - s. What is the highest common divisor of d and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 21*i**2 - 3*i - 43. Let a be f(-21). Solve 5 + a = 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = -o - 2, -8 = -4*o. Let r be (1 - 4\/2)*i. Put 6, 0, -1, r in decreasing order.\nAnswer: 6, r, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 274 - 265. Let b(j) = j + 19. Calculate the remainder when 108 is divided by b(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5485996269 a multiple of 2865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -31203001300?\nAnswer: 31203001231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5 + 2*y**4 + 118*y**3 + 124*y**2 - 240*y = 0. What is y?\nAnswer: -4, -5\/2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*x = -753*x + 157*x + 12408 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*n*z**3 + 2*n*z + 95*n + 395*z**3 - 68*z - 1 wrt z?\nAnswer: 72*n*z + 2370*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 8*g**2 - 7*g - 2. Let f be m(9). Solve -3*b + 18*v + 9 = 15*v, 0 = 3*b + 2*v + f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5503 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: Rearrange 2373*x**4 - 2*x**2 + 2 + 2*x - 2*x + 3*x**2 - 2*x**3 - 2376*x**4 to j*x**4 + y*x + q*x**3 + u*x**2 + i and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36471, -44768, -53065, -61362, -69659?\nAnswer: -77956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*6.4\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*a*d*n**2 + 23*a*n**3 + a*n**2 - 56*d*n**3 - 13*n wrt d?\nAnswer: 12*a*n**2 - 56*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1267888 and -25\/12995852?\nAnswer: 51983408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424608?\nAnswer: 2, 3, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/(-204))\/(10\/24) - (-116)\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 994583242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*o - 119*o**5 + 354*o**5 - 123*o**5 - 28*o**2 - 120*o**5 + 4 wrt o?\nAnswer: -160*o**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78856 or 78910?\nAnswer: 78910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 3*r - 10. Let i be j(5). Which is greater: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1863888 or -1863887?\nAnswer: -1863888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 25, 50, 81?\n\"Answer: 3*w**2 + 10*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 270368820751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*k + 14 - 17*k - 23*k**5 + 4578*k**3 - 72*k - 4610*k**3 wrt k?\nAnswer: -460*k**3 - 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(2300\/(-8)))\/((-1)\/36*-6*3)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 2. Let r(t) = t - 54. Determine r(v) - u(v).\nAnswer: 2*v - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + (-7)\/3)\/(154\/(-330)). Let a = 11\/14 + r. Let o(c) = c**2 + 4*c - 7. Let s be o(-6). Put a, 4, s, -2 in decreasing order.\nAnswer: s, 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + 0.1. Let l = 16 - 14. Let o be 3*(-2 + l + 1). Which is the biggest value? (a) o (b) 1\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**5\/5 - 5*p**4\/3 + 3*p**3 + 11*p**2 - 21*p. Let s be t(17). Round s to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52899\/(-83356))\/((-11)\/16).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 18*k - 6. What is the remainder when s(2) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 816545 + -816543. Let -6\/7*v + 6\/7*v**3 + 12\/7*v**u - 3\/7*v**4 - 9\/7 = 0. What is v?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 5*p)*(0 - p + 0) + (4*p + p - 3*p)*(1 - 4 + 7)*(-p + p - 2*p).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*l - 14 = 11*g - 6*g, l + 80 = -28*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1553*t**4 - 5*t**3 - 7*t**2 + 8*t + 20368514 wrt t.\nAnswer: 6212*t**3 - 15*t**2 - 14*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 2115399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11126*q - 211422. Calculate t(19).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -11*h**6\/30 - 17*h**3\/6 + 10*h. Find the second derivative of s(p) wrt p.\nAnswer: -132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 227 and -2055.54?\nAnswer: -466607.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**4\/8 + 5*x**3\/6 - 9*x**2 - 19. Calculate d(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(308\/8))\/1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132223, -267751, -403279, -538807?\nAnswer: -674335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 0 - 17*(-20)\/(-340). Sort j, 2, -3, 4.\nAnswer: -3, j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.83331 to 2 decimal places.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -1, 12, -19, 905 in decreasing order.\nAnswer: 905, 12, 5, 4, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 7:43 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*j + 35 = 2*g + 101 + 53, 2 + 21 = 2*j - 5*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heeheeee. What is prob of picking 2 e?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -289 + 702. Let w = -413.2 + s. Sort -10, 4, w in ascending order.\nAnswer: -10, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15303593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/(1*(-1 - (-15)\/10)). Suppose -2*n - 132 = -6*n. Is j < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 39. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*q - 2952 = 256*q. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2343325164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000304918 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -99, -1\/3, 3\/451?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 629 and 80682.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 245*a**3 - 23*a - 44. Determine j(-2).\nAnswer: -1958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3) + (11 - 0 - (3 - (40 + -64))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -h + 5537 + 4278, 4*p + 19650 = 2*h. What are the prime factors of h?\nAnswer: 7, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 6472.\nAnswer: 122968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttwwtttootwoto. What is prob of picking 1 o, 1 t, and 1 w?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 3.15.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Let b(j) = -j. Let k be b(q). Calculate the common denominator of -127\/6 and k\/18*139*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let l(m) = -65*m. Calculate u(l(n)).\nAnswer: 65*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 17 = j, 2*j + 28*u = 7*j + 87 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 2, z: 1, y: 1, f: 1, i: 2}. Give prob of sequence hfin.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2*2\/(-8)*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -944*i + 3. Let c(k) = -2831*k + 10. Let o(y) = 2*c(y) - 7*l(y). Is o(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 6*f - 21, -269*p + 136 = -255*p + 2*f for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s = 20. Suppose -2715 = -4*i - 5*n, -3363 = 5*i - 10*i + s*n. Is 45 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 0*k**3 - 11\/4*k**4 + 0*k**2 + 1\/10*k**5 - 1 - 9\/5*k**6 - 3*k. What is the third derivative of i(n) wrt n?\nAnswer: -1296*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.686302 + -0.98632. Let w = 5.2 + -4.5. Let s = a - w. Round s to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 75.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + q**3 - q**2 + 0*q - 3*q. Let p(f) = f - 5. Let n be p(6). Let x(d) = -2*d**3 + 5*d**2 + 4*d. Let u = -1 - -5. Calculate n*x(y) + u*v(y).\nAnswer: 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17.235*0.3\nAnswer: 5.1705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - n**2 - 3*n + 1. Suppose 0 = -5*x + 9 + 1. Let a be i(x). Solve -5*h = -8 - a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7579*v**2 + 32*v - 8. Let c(z) = 5052*z**2 + 20*z - 5. What is 5*b(o) - 8*c(o)?\nAnswer: -2521*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-3)*6*1. Suppose 0 = 4*x - 3*u - 61 + r, -34 = -x + 5*u. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055023 plus 182?\nAnswer: 181.944977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -5. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25887982 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 102*i**2 - 108*i + 517. Let k be h(103). Solve k*w = 98 - 98 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/616698450 and 1\/18?\nAnswer: 616698450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*s + 5*b, 10*s = 5*s + 4*b + 14. Let v(a) = a**2 + 3*a - 5. What is v(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/1564 and 73\/69?\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**2 - 10*z**2 + 2*z**2)*(1 + 2 + 0)*(18 - 22 - 26).\nAnswer: 1260*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-68)\/(-6) + (-8)\/(-12). Let r(l) = -l**2 + 8*l - 3. Let v be r(7). Suppose 0 = -v*n - 0*n + 8. Solve u + x = -n*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3972 is divided by 3953?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1255640175*j**3 + j**2 + 11340189*j - 2 wrt j.\nAnswer: -7533841050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1474580 divided by 21685\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 653182 (base 12) to base 16\nAnswer: 187232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s + 14*s = -9*s. Let j be ((-17)\/(-21) + -1)\/(-1). Which is greater: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(18) + sqrt(450))\/sqrt(6) + 3*(1 + 3*sqrt(3)).\nAnswer: -27*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(320))*-2 + -1 + sqrt(320) + 2)**2 + (((sqrt(320) + 0)*-3 - ((0 + sqrt(320))*-1 + sqrt(320)))*-1)**2.\nAnswer: -48*sqrt(5) + 3209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/13 in -2\/55, -1\/77, -2, 28, -3?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12 = -4*x - 0*x, 5*x - 13 = -2*h. Suppose 76 = h*j - 2*j. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/14 + ((-2)\/(-4) - (-946)\/231). Do j and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3264 bigger than -3267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 57636208.8 to the nearest 1000.\nAnswer: 57636000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22513735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 266209?\nAnswer: 266228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 14. Suppose 16*d + 10*d = 286. Give x(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*y - 17*y**2 + 121 - 2*y - 121 wrt y.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) 0.4 (c) 0.3 (d) 4 (e) -50\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2429 and -36?\nAnswer: 2429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + sqrt(500)*2)**2)*3 + 5.\nAnswer: -480*sqrt(5) + 6062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 15 = -4*r - 103, 4*q = 3*r + 3*r + 138 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: 2592 divided by 432\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(85) - 1*(sqrt(85) + sqrt(85) + (sqrt(85) - (sqrt(85) + sqrt(85) + -3*sqrt(85) + sqrt(85) + sqrt(85)))) - sqrt(85)))\/(sqrt(180)*3*3)*3)**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {v: 7, r: 2, x: 9}.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9593489601636 + -4\nAnswer: 9593489601632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -182a903 (base 11) in base 15?\nAnswer: -414903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.4 + -11. Let v = -1 - u. What is the second biggest value in 5\/4, -1\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-45)*(-1)\/2)\/(2540\/(-45720))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*t + 71165 + 44849. List the prime factors of t.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144a4 (base 14) in base 12?\nAnswer: -244440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = 11*z + 6, -z + 8 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.178 + -704.822. Let y = -705.8 - n. What is the closest to -2\/5 in -2, 3\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.054946 to 3 decimal places.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2925801 is divided by 97?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020197830968 to 7 dps.\nAnswer: -0.0020198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 512415681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*k = 0, -3*k + 8 = -4*j + 4. Let f(p) = -4*p - 4. Give f(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -2. Let r = -3.89 + -0.11. Let j = r - -5. What is the third biggest value in i, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/1584*10449\/(-258)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 487519 divided by 3?\nAnswer: 487519\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2769*m + 3 - 3*m**5 - 5522*m + 2767*m - 2*m**4 - 3*m**5 + 4*m**3 - 4*m**3 + (-m**4 - 2*m**3 + 2*m**3)*(0 + 2*m + 0).\nAnswer: -8*m**5 - 2*m**4 + 14*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -5*h**8\/7 - 5*h**4\/24 - h**2 + 141*h. What is the second derivative of a(w) wrt w?\nAnswer: -4800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**7)**(1\/19))**(-22) assuming v is positive.\nAnswer: v**(-176\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53)\/(10494\/(-4896)))\/(6\/33).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, 49, 29, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.39 (b) 4 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, i: 10}. What is prob of picking 4 w?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75b25a (base 16) to base 7.\nAnswer: 122363650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-22))**(-48)\/(z\/(z*z*z**14))**(1\/11) assuming z is positive.\nAnswer: z**(-12129\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 3:37 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 24. Let p be c\/(-3)*6\/(-4). Let i(a) = 0*a + a - 4*a + a**2. Determine i(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, 2, -4, 15.\nAnswer: -4, 1, 2, 11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -2 - -1)\/(2\/4). What is the tens digit of 303\/3*1 + i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(6875\/(-1450)) - (-4)\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 4. Suppose -x = 3*x - r. Let b(t) = -t**2 + 5*t + 6. Let n be b(5). Solve 3*d + x = n*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 75.98?\nAnswer: 7.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/18605 and 4\/49535.\nAnswer: 184319735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3597732205?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5040*k**2 + 1645*k wrt k?\nAnswer: -10080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 179119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by -6?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 15 - 12 = -g, 5*v = -g + 123. Suppose -d - 1 + 2 = -2*w, -3*w - 3*d = v. Let s = -0.84 - 0.16. Which is the nearest to -1\/3? (a) w (b) s (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b545 (base 12) to base 5\nAnswer: 1113111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/(-10) - 70\/(-100).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188257515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133*d**2*w**3 - 2*d*w**2 + 16*d - 2*w**3 wrt d.\nAnswer: -266*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -22*c - 10. Round c to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aha when three letters picked without replacement from akekzekahzhakkkae?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 7:37 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 1:43 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cglgpgpgggrggggggl. What is prob of sequence pcr?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 212, 214, 216, 218?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*o + 150*o + 2772 = 0 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r - 18. Let f = -2 + 6. Let v be (f - 4) + (7 - 1). What is the highest common factor of v and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3 - 9. Let l = -4 - n. What are the prime factors of (8\/10)\/(l\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*z**3 + 3*z**2 + 21923*z - 8791581 with respect to z.\nAnswer: 18*z**2 + 6*z + 21923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1323 = -201*b - 240*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 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 f(x) = 33*x. Let v(q) = -560*q. Let h(i) = 84*f(i) + 5*v(i). Let t(z) = 2*z. Calculate h(t(g)).\nAnswer: -56*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5, -423 = -2*m - 5*u + 4*u. What is the remainder when m is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 4. Let c(n) = 36666*n. Calculate c(w(i)).\nAnswer: -73332*i - 146664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 3:54 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1495 + -1500. Let y(p) = -5*p**3 - 31*p**2 + 46*p + 11. Let c(l) = l**3 + 6*l**2 - 9*l - 2. Let n(r) = 11*c(r) + 2*y(r). Determine n(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12138857*k**2 - k + 590622789 wrt k.\nAnswer: -24277714*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -5\/12*c**4 + 0 + 2*c**2 + 4\/3*c**3 + 3*c. Factor h(q).\nAnswer: -(q - 2)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 8*z + 3*z - 404, -h = 2*z - 397. What is the units digit of 3 + 63\/(-7) + h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 3.3. Which is the second smallest value? (a) 5 (b) -1\/3 (c) o (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -13 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n - 3. Let t(q) = 8*q**2. Give t(h(d)).\nAnswer: 288*d**2 - 288*d + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 + 2)*(-2)\/6. Suppose -2*n + 5*q = 15, -f*n = -0*n - 2*q + 18. Let w(r) = -r + 4. List the prime factors of w(n).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + -743854.\nAnswer: -743862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1259068 = -69*f - 1732. List the prime factors of f.\nAnswer: 3, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1624*z**3\/3 - 1612*z**2\/3 - 4*z.\nAnswer: 4*z*(z - 1)*(406*z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1907, 7660, 17321, 30938, 48559, 70232, 96005?\nAnswer: 125926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 14*l = 15*l + 6, -3*l - 10 = -4*p. Factor 17*v**2 - p*v**3 - 12*v**2 - 6*v + 5*v**3.\nAnswer: v*(v - 1)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1688 - 985. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/5557860 and 46\/81?\nAnswer: 50020740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(432) + sqrt(432)*1 + 1 + (sqrt(6)\/(sqrt(6)\/sqrt(3)))**2 + sqrt(3) + 0 + -4.\nAnswer: -4 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -142*i + 2440. Give u(17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(-1\/28))**(-26)*(((b\/(b*b*b\/b**(-2))*b*b)\/b)\/b)**(-1\/25)*b\/(b\/(b\/(b**0\/b)*b))*b*b**(-8)\/b assuming b is positive.\nAnswer: b**(-1369\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-21)*(-15)\/4320*-168*-556.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -8\/129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 379324.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 199359138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -50779, -50339, -49899, -49459?\n\"Answer: 440*b - 51219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*c + 10725 - 943413 = -29*c. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14716 = 945*t - 379*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1977750 and 7500?\nAnswer: 19777500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -36*u - 3. Let a be s(-2). Suppose -a = -3*j + 3*c, 5*j + 21 = 4*c + 134. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**4\/24 - 7*a**2 + 3. Let k(w) be the first derivative of 4 + 0*w**2 + 0*w - 8\/3*w**3. Give k(l(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Let c be 0 - 3\/(t\/(-1)). Which is bigger: 1\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.842 + 0.458. Let r = 28.2 - y. Round r to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 1810*j - 14 + 6*j**2 + 2*j**3 - 1807*j to the form v*j + g*j**3 + s*j**2 + q and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5645 - -0.0645. Let d = -3.7 + 4. What is the biggest value in t, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*6)\/3 - 8. Let n(s) = -s**2 + 8*s - 7. Let t be n(3). Let x(u) = -3*u + t*u - u**2 + 1 - 2 - 11*u. Determine x(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 224599188.\nAnswer: 1\/112299594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 + q + 12. Let h be n(0). Suppose -5*w + 3*w = 3*i - 17, 3*w + h = 3*i. Find the first derivative of -1 + i*d**2 - 9*d**2 - 4 wrt d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/22))**(-16)*(q**(-2\/17))**33 assuming q is positive.\nAnswer: q**(-3582\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15, 318, 1149, 2772, 5451, 9450?\n\"Answer: 44*u**3 - 5*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*n = -25*n + 250047000. What is n rounded to the nearest one hundred thousand?\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1399186 and -55.592267?\nAnswer: 1399130.407733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = 0, 7 = 3*p - 8*d + 12*d. Let y(o) = -18*o. Determine y(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 2*l - 4*l)*(700 + 703 - 1440) - 2*l + 0 + 0 + (1 - l - 1)*(0 - 1 + 2) + 0 + 0 + 2*l as g + i*l and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -225410.6407 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2873 is divided by 411.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:07 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 0*t**2 + 0*t**2 + (-6*t + 1 - 1)*(-4*t - 4*t**2 - 4*t**2 + 6*t**2) - t**3 - 4*t**2 - 2*t + 4*t**2 as z*t + y + m*t**3 + x*t**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222 + 13?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/824 and 35\/12085196.\nAnswer: 24170392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 3*j - 4. Let h be v(3). What is the fourth smallest value in 4, h, 2\/11, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*m + 17 = -b + 128*m, -2*b + 5*m + 4 = -7*b - 6 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(5 + 931\/(-182)). Calculate the highest common divisor of 169 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m**2 - m - 2 + 13*m**2 - 28*m**2)*(0 + 0 - m).\nAnswer: 2*m**3 + m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t + 3. Let c(y) = -35*y - 23. Let n(l) = -c(l) + 3*o(l). Let a(s) = -2*s**2 + 21*s + 21. Let w(z) = -8*a(z) + 5*n(z). Calculate w(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56663583 at most as big as -56663583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1167*u - 771420. Calculate f(-661).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.013 - 22.013. Let h = a - -58. Let w = -35.84 + h. Are -1 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 20810.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 6:16 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2302347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 1. Let n(s) = 10. Suppose 5*q + 16 = 21*q - 8*q. What is q*n(a) - 2*u(a)?\nAnswer: 2*a + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + i - 1 = 2, 5*i = -2*y + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 65.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10895679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19778031 - 0.1978. What is v rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from oxxdpdoxdxxs.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/18)\/(16 - 286\/18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -3*j + 59 - 87, -5*j - a = 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-17)*y**(-14)\/y assuming y is positive.\nAnswer: y**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 0*j**2 - 8*j + 1\/2*j**4 - 3 + 2*j**3. Suppose i(d) = 0. Calculate d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 228, 0 in ascending order.\nAnswer: -39, 0, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.5. Sort -0.2, t, 5.\nAnswer: t, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 11:06 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/3 of a hour?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -61, -61, -73, -103, -157, -241, -361?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 29*f - 3771. What is the thousands digit of p(83)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.004391 or 0.06103?\nAnswer: 0.06103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 14 = z, 4*d - 10 = 5*z - 2*z. Suppose -651 = -z*b + o, 4*b + 3*o - 1099 = 198. Suppose a = -4*a + b. List the prime factors of a.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116*z**4 + 233*z.\nAnswer: 1392*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -4\/9, 188.6, -1.49, -1\/7, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 12*i**2 - i + 11. Let l be f(12). Let m be 2*3100*l\/2. Round m to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -12*u - 9. Let x(b) = 9*b + 5. What is 6*a(v) + 11*x(v)?\nAnswer: 27*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*j - 0*j - 396, 3*q = -6. Suppose -7 = -2*i - 3. Let s = 24 + i. What is the remainder when j is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7209 * 343.6.\nAnswer: 2477012.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 8*a + 18 = 4*z, -522*z + 515*z - 10*a = -18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x - x + 4*x + x - 5*x + 2*x - 4*x + 5*x - 2*x + (-1 + 0 + 3)*(-1 + 1 - x) + x - x + x)*(63*x + 15*x + 69*x) as g*x**2 + q + l*x and give g.\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 greater than 111\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12667, 50535, 113655, 202033, 315675, 454587?\n\"Answer: u**3 + 12620*u**2 + u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 1, b: 1, r: 1, g: 1, u: 2}. What is prob of picking 1 n and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2224932668?\nAnswer: 2, 7, 79461881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50107418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - 2) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 121, 500, 1137, 2038, 3209, 4656, 6385?\n\"Answer: m**3 + 123*m**2 + 3*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (12 - (10 + 0)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1318*v + 444*v - 2 + 2 + 17*v**2 - 1762*v.\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 20 = 0, -5*p = 2*d - 2*p - 561. Let b = -132 + d. What are the prime factors of b?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 (base 11) in base 2?\nAnswer: 10011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -423\/398 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 79*g + 96. What is the remainder when w(-79) is divided by 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, -0.045, -50\/11?\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1386066 take away -6678.3?\nAnswer: 6678.4386066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/5 + 26*d**2\/5 - 12*d\/5.\nAnswer: -2*d*(d - 6)*(2*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -5 (c) -805 (d) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 5*x + x - 3 + (0 - 1 + 3)*(-62*x - 42*x + 43*x) + 0 + 0 + 4*x to n + t*x and give t.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(-20) - 386\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 18*l**2 + 47*l + 34. Let i be y(-15). Which is the second biggest value? (a) 0.7 (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 6:34 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1431897594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 1549517?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1. Let y be (-12)\/(-9)*3\/(-2). Let g(r) = r**3 - 7. Let n be (-1)\/(0 + 1 + -2). Let f be 2 + -2 + (15 - n). Give f*a(u) + y*g(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(325) + 1 - (3 + (sqrt(13) + sqrt(208) + 4)**2)).\nAnswer: -2058 - 270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:49 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2454.8644 + 2432.864358. Let w = 336 + -358. Let y = w - t. What is y rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1. Let d(x) = -x - 2. Let v(y) = -d(y) - l(y). What is v(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133)*-1)\/sqrt(7) - sqrt(19) - sqrt(19)*1*-6)**2 - (sqrt(76)*2 + (sqrt(19) - (-2 + sqrt(19))*-3)**2))*3.\nAnswer: -108 + 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 - -133. Let f = n - 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*l + 420*l - 520*l - 672*l.\nAnswer: -1063*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7853691, 31414755, 70683195, 125659011, 196342203, 282732771, 384830715?\n\"Answer: 7853688*j**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 6*c - 2*c)*(c**2 + 0*c**2 - 2*c**2) - 2*c**3 + 0*c**3 + 0*c**3 + (-c**2 + 5*c**2 + c**2)*(3 - 3 + c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3486\/52 + (-3)\/6. Let h = v - 14685\/208. Find the common denominator of h and 143\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11357.523 months?\nAnswer: 94.646025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 685297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1308 and 5352829116?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -0.4 (c) 60\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/12 and -101\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 9*n - 3. Let d be v(11). Suppose 9 = 4*o - d. Suppose -o = -h - 4*p + 2, -4*h + 55 = -3*p. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 216916*r**3 + 897184*r**2 wrt r?\nAnswer: 1301496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + 3*p - p)*(3*p - 3*p - p) + 9309 - 9309 - 281*p**2 to u + t*p**2 + m*p and give t.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 111 = -x + 50, 0 = -5*u + 2*x + 158. Suppose 31*j - 15 = u*j. Which is smaller: -2\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, 34099, 9 in decreasing order.\nAnswer: 34099, 9, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1049 divided by 1.\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -23*d**2 + 324*d - 20. Determine j(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, 0.769, -1\/3, -5685?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4407, 2733, -1797, -10611, -25137, -46803, -77037, -117267?\nAnswer: -168921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 2*g + g + 2*g**3 - g**3 + 0*g to o*g**3 + q + b*g**2 + r*g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - 3. Let u be g(2). List the prime factors of 0\/u - (2 + -20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 8*y + 14. Let u be d(6). Let -o**u + 1\/2*o**3 + 1\/2*o + 0 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*q = 4, -4*q = -3*t - 0*q - 23. Suppose 2*x = -z - 3*x - 28, 0 = -4*z - 5*x - 37. What is the third smallest value in t, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1933 + -1922. Solve p*k + 64 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19817845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005393217112 to 7 decimal places.\nAnswer: 0.0053932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -642506*-0.1\nAnswer: 64250.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -621396?\nAnswer: -6835356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12614 and 86513?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, v: 1, y: 1}. What is prob of picking 2 c and 1 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.18615 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 170.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38645.\nAnswer: 5, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/17190 and 59\/2741805.\nAnswer: 5483610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1612911 = 24*o - 19785. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30 or 2291\/76?\nAnswer: 2291\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -54\nAnswer: -11\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 80 = -2*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -4. Let p(q) = -q**2 + 12*q - 15. Let s be p(j). Solve s*b + 5*t = 15, b + 1 = -2*t + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 12. Sort -4, -0.4, b in decreasing order.\nAnswer: b, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1)\/((-3)\/30). Let l(q) = -q**2 - 11*q + 2. Let h be l(y). Suppose 0 = 2*a - h. What is the remainder when 23 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*k - 9*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1264 + -634. Suppose -11*m = 3*m - i. Suppose -39 = -2*f + 5*a, -5*f + 10*f + 5*a - m = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -24. Suppose 0 = -2*t + 2*p + 70, -2*t + 50 = p - i. Is t a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128792 and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4253 = -2*b - t, -2*t - 8510 = -b - 3*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 5*i**4\/6 - 176*i**3\/3 + 131*i**2. What is the tens digit of q(40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-2656.\nAnswer: -29216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -761728.57 + 7.9566.\nAnswer: -761720.6134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*sqrt(44).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 155 = 8*b. Let q = b - -26. Let v(h) = -h**2 - 16*h - 20. Let l be v(-14). Sort q, -3, l in increasing order.\nAnswer: q, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728687.\nAnswer: 3, 239, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 3*i - 12, 4*i + 21116 = b. Round b to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, c: 2, s: 7}. Give prob of sequence scs.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - 6) + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-4 - (-3 - -1)). Suppose -5*l - 18 = -i, 8*i + s*l - 90 = 3*i. What are the prime factors of (-3)\/((3\/i)\/(-1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4*t*v + 136*a**3*v - 5*a**2*t*v + 2*a*t*v + 297*a*t - 28*t*v wrt a.\nAnswer: 24*a**2*t*v + 816*a*v - 10*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*v + 146*v + 278 = -228 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-183)\/(-1525)*10\/3. Factor p*f**3 - 2\/5*f**2 + 2\/5*f**4 + 0 + 0*f - 2\/5*f**5.\nAnswer: -2*f**2*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49794295.\nAnswer: 5, 41, 53, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 5*q - 2040 = 3*u, 3*u + 4*q - 1225 = 0. What is the highest common divisor of u and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 - 22522*l**2\/9 + 45038*l\/9 - 2502.\nAnswer: 2*(l - 11259)*(l - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4301341 + -120?\nAnswer: 4301221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -846.9367 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v + 267 - 52 = 0. Let o(m) be the first derivative of 7\/11*m**2 - 6\/11*m**3 + 5\/22*m**4 + 6 - 4\/11*m - 2\/55*m**v. Find t, given that o(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -40*g**2 - 28*g + 13. Determine v(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (36 + -53 + -29).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3741801.279896 - -3743206.6. Let s = t - 1405.4. Let i = s + 0.08. What is i rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/6, 1942.829, 0.4?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5564 is divided by 116?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 6*n**2 + 5*n - 3. Does 3 divide d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 78?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792*g - 13968 = -210*g for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -17*n - 54. Let q be r(-4). Let v(x) = -3*x. Let w(g) = g. Determine q*w(c) + 2*v(c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q + 0*q - 3*q + 7*q + 7 to the form h + s*q and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*x + 171, 3*i - 22 - 43 = x. Let c = 127 + x. Suppose -k + c = -38. Is 29 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68538685?\nAnswer: 5, 61, 224717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(102)*-1*-4 - ((sqrt(102) - 1*sqrt(102)*-3) + sqrt(102))))\/(sqrt(216) + -4*2*sqrt(216) - -2*(sqrt(216) - 1*sqrt(216) - sqrt(216))).\nAnswer: -sqrt(17)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*(sqrt(275)*-1 - sqrt(275)) + 3 + ((sqrt(275) - sqrt(275)*1) + 1 + 1*sqrt(275) + sqrt(275) + -2)**2.\nAnswer: -50*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-482*a - 61*a - 250*a)*(3 - 3 + a)*(2*a + 2*a - 3*a) to q + u*a + g*a**2 + y*a**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 33. Let p be -18 + o - (-1 + 2). Suppose -52 = -4*w - p*i + 20, 2*i = -4*w + 64. What is the greatest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 130*c + 131. Suppose -5*m - 3598 + 3918 = 0. Let j be g(m). Find r, given that 6\/5*r**2 + 0 + 3\/5*r + 3\/5*r**j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -82141, -0.28 in descending order.\nAnswer: 11, -0.28, -82141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1120 and 447568?\nAnswer: 31329760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 6. Let q be t(-3). Suppose q*c - 4 = 14. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/13 - 8*v**2\/13 - 2*v\/13 + 12\/13.\nAnswer: -2*(v - 1)*(v + 2)*(v + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**3 - i**2 + 8*i - 11. Let d(h) = 5*h**2. Let m be d(-1). Let n(v) = 5*v**3 - 9*v + 12. Let l(p) = m*n(p) + 6*j(p). Determine l(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17\/28 + -251\/252. Let b = 553\/36 - v. Is b less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 26, 56, 106, 182, 290?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 - 75.2. Which is the smallest value? (a) 24\/7 (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 375107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a year in months?\nAnswer: 213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028650448 rounded to six dps?\nAnswer: 0.000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -22*k**2 - 2. Let l be d(-2). Let b be (56\/84)\/(156\/81 - 2). Let z = b - l. What is the greatest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 279210139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 11:56 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 5*c**2 - 2*c - 5. Let y be h(-5). Solve -y*m + 4*q - 11 = 0, 0*m + 3*m = -2*q - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -451377 divided by 78.\nAnswer: -150459\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 466465046 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 5)*(-x + x - x)*(0 + 2 + 0) to c*x + r and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60629287\/300 + 202098. What is the common denominator of h and -87\/16?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r + 33. Let o(m) = 2*m + 16. Give -7*o(j) + 3*x(j).\nAnswer: j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 - -100. Let t = 38 + o. Let d(q) = -q**2 - 22*q - 2. Let x be d(t). Round x to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 2*g + 25. Let x be d(-4). Let n be (-8 + (11 - x))\/(1 - 0). Put -2, n, -4, 1 in ascending order.\nAnswer: -4, -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 13862.3?\nAnswer: 13859.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 1\/110*w**5 + 0*w**3 + 2 + 0*w**2 + 1\/66*w**4 + w. Let n(a) be the first derivative of s(a). Solve n(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 28 = 3*v - 3*s, 4*v - 4*s + 24 = 0. Which is the biggest value? (a) -1\/3 (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.136 - 68.0389211302\nAnswer: -68.1749211302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -23. Let x = 3 + o. Let l(u) = 9*u + 67. Let m be l(-6). Which is greater: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.14 or -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3 + -41 - (-29 + -9 - -33).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = 51*c + 63*c. Solve c = -14*j + 13 + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (57 - 56)\/((-2)\/(-24338)). Suppose -i = -8*w + 903. What are the prime factors of w?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + 0*w + 0*w + (-2*w + 2 - 2)*(-2 + 2 + w) - 2 + 2*w**2 - 6*w**2 + 6.\nAnswer: -7*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (2 + 2)) + (-30 - -30)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2 + 4*a + 1. Let d(v) = -3*v**2 - 3*v - 1. Let o = 253 + -248. Determine o*d(n) + 4*u(n).\nAnswer: n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.2 + -20.4. Let t = b + 24. Sort t, -0.2, -1\/4 in decreasing order.\nAnswer: t, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0126 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 21054*c**2 + 1033999*c - 1012944.\nAnswer: -(c - 48)*(c - 1)*(c + 21103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*n + 16 = -1224. Let g = 209 - 137. Calculate the remainder when g is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25758.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000266452663 to six decimal places.\nAnswer: 0.000266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 180769909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3466 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6805843 is divided by 6519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3 - (-32)\/(-10)). Let q = -20 - -18.04. Let i = 0.04 - q. Which is the third biggest value? (a) m (b) i (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-100)\/15*(-18)\/4. What is the tens digit of r\/(-3 + 1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4892*g - 4913. Determine r(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*h**2 - 274*h**2 - 115*h**2 - 4*h.\nAnswer: 4*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2079\/(-90))\/(-77))\/((-33)\/88)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**3 + 34*s**2 - 16*s - 24.\nAnswer: 2*(s - 1)*(s + 6)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 439.989227 - 440. What is f rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20960306671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1657 + -14?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594 - 2289 = -3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4899 + -1.1277. Round x to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-51 + (21 - (55 + -12 - 4))).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 - x + 0 - 2861*x**2 + 1 + 2*x**3 + 2860*x**2. Let q(a) = -a**3 + 3*a**2 + 2*a + 5. Let i be q(4). Let u = -2 - i. Determine t(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89238950 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -241*x + 4. Let s be h(8). Suppose 3*l + 9840 + 1317 = 3*z, 0 = -4*z + 2*l + 14876. Let m = z + s. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2548 + 132 = -16*q. Let d = 156 - q. Solve 4 + 1 = 3*c - j, -d = 2*c + j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-442.\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*((u\/u**(-5\/2))\/u)\/u)**(1\/20) assuming u is positive.\nAnswer: u**(7\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 26 - ((18 - 13) + -19 + 11)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 2 n when four letters picked without replacement from acfmnxcccnnc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u + u + 3*u)*(-3*u**2 - 9*u**2 + 2*u**2)*(-9*u + 17*u + 10*u) as g*u**4 + h + z*u + n*u**3 + m*u**2 and give g.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 1) + -8 - 5. Let o = i - -209. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 4. Let v be s(-4). Let h(p) = 39*p**3 - 13*p**2 + 7*p + 8. Let t be h(v). What is t rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -260*q + 267*q - 28. Let a(z) = z**2 + 3*z - 7. Let f be a(-5). Let h be 5*(-5)\/(-50)*18. Solve f*u = p + h, q*u + 7*p + 7 = 2*p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236 and 8555.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572500.2 + 44?\nAnswer: 572544.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 401289 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 489 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19208 is divided by 533.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/4*(31 - 33). Solve 0 = -a*y + y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7170426 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -886214, -886058, -885898, -885734, -885566, -885394?\n\"Answer: 2*t**2 + 150*t - 886366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 34*b + 1. Let n be q(1). Let o = n + -31. What is the highest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 48 = -0*l - 2*l, l - p - 33 = 0. Solve -5*a = l - 10, -28 = -4*z + 3*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**37\/(a**9\/a**(3\/2)) assuming a is positive.\nAnswer: a**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, l: 2, r: 4}. Give prob of picking 2 r and 2 h.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(78)*-3)\/(4*((sqrt(216) - (sqrt(216) + 1*sqrt(216) + sqrt(216) + sqrt(216))) + sqrt(216) + sqrt(216)) + sqrt(216)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*w - 2*d, 0 = -1696*w + 1698*w + 4*d - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1594)\/(-420) + (-114)\/20 + 6 + -4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - x**2 - 7*x + 9*x - 2*x**3)*(4*x - 4*x - x + (0*x + 5*x - 3*x)*(0 - 4 + 2)).\nAnswer: 10*x**4 + 5*x**3 - 45*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x + 6 = 0. Let j be x - (-5 + 2 - 28). Solve -2*b = 3*z + b + 3, 4*z - 4*b - j = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Suppose -4*l = -5*g + 11, 0*l = -3*l + w. Suppose -320000 = h + g*h. Round h to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**3\/7 - 78*u**2\/7 = 0?\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*d + 4 - 1, 3*d = 2*v - 3. Let m = d + 7. Suppose 0 = 5*f - 26 + m. Solve -h = f*h + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = 77 - 413. What is the derivative of -66*v - a + 19 - 28 wrt v?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {j: 2, m: 2, q: 6, s: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21022022 (base 3) to base 12.\nAnswer: 30bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.6, -206.9, 4, -210\/11, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1257, -2461, -3653, -4833, -6001, -7157, -8301?\nAnswer: -9433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -157205, -157268, -157331, -157394, -157457?\n\"Answer: -63*k - 157142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35989 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-8) + (-242)\/(-4). Let h(g) = -3*g + 0*g + k*g**2 - 62*g**2 - 1. What is h(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151439?\nAnswer: 199, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/c**(-6)*c)\/c))\/c)\/((c\/(c**(-3\/4)*c))\/c) assuming c is positive.\nAnswer: c**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.96 + 0.04. Let v = f + -0.8. Suppose -a = -3, -4*a = -4*w - 11 - 21. What is the biggest value in w, v, -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 h when three letters picked without replacement from {e: 8, r: 1, h: 8}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Suppose 8 = -2*v - m*v. What is the units digit of ((3*-6)\/3)\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 752 divided by 1120.\nAnswer: 47\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 3068*w**2 - 30512*w - 48768.\nAnswer: -2*(w + 2)*(w + 8)*(w + 1524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 105468.9 and -0.11221642.\nAnswer: 105468.78778358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/16 and 81\/36078710.\nAnswer: 288629680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20935 is divided by 654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m - 3. What is the smallest common multiple of 14 and g(3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 349, 2\/5, -0.0001?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9 = 6*r. Suppose 135*q - 108 = 99*q. Solve v = p - q, -2*p + 18 = r*v + v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 9, g: 6, e: 1}. What is prob of picking 1 q and 1 e?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 5:58 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 98 + 2. Solve -3*l + b - c = 3*b, -4*b = 2*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j. Suppose 0 = -k + 4*r + 57, 4*k - 2*r = -5*r + 323. Let s(o) = k*o + 71*o - 147*o. Calculate a(s(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905907*q + 905907*q + 24*q**3 + 0*q**2 + 0*q**2.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1)\/((-5*(-8)\/80400)\/((-4)\/5)) and 48?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.06 + 0.06. Let s = -5\/47 + 419\/846. Let i = s + 1\/90. What is the third smallest value in 1\/4, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwk when four letters picked without replacement from kwkwwkkkkkkkkk?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 14 - 640*y + 2.\nAnswer: -640*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34*(-2)\/(-16))\/((25\/20)\/5).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.48 + -0.67. Let z = -0.65 - x. What is the smallest value in 4, 5, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 - -64. Let d = -35.106 - i. What is d rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = -0*p + 2*p, -4*l + 12 = 4*p. Suppose -p*r - 4 = x - 5*x, 0 = 4*r - 8. Let w be ((x + -3)*-2)\/(-15). What is the nearest to -1 in w, 1\/6, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/40 + (-627)\/(-55)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2171356 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/20 + w**4\/12 + 5*w**3 - 39*w**2. Let k be x(0). Solve -k + 15 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1202.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1340 and 11792?\nAnswer: 58960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*871914\nAnswer: 87191.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-18)\/(-8)*-2. Let b = -6 - v. Sort b, 5, 0 in decreasing order.\nAnswer: 5, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnvvvgnnnnvnnnnnvnn. What is prob of sequence nnv?\nAnswer: 91\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -39251 = -39251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4329996.\nAnswer: 2, 3, 11, 32803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102592)\/(-1280) - 79)*4.\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-2*k + 6*k - 2*k) + (4*k + 0*k - 2*k)*(2 + 0 - 3) + 157*k + 154*k - 313*k + 330.\nAnswer: -8*k + 330","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/50 and -73\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 15\/9)\/((-20)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456007.7 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c + -176454?\nAnswer: -176418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-17)\/(-17))\/(1\/92). Let l = g - 44. What is the greatest common factor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.95 + -28.65. What is w rounded to zero decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g + 8. List the prime factors of a(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 349993486 divided by 174996743\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 126 = -5*g. Suppose -4*c - 24 = -9*c + d, 0 = -4*c + 3*d + g. Let y = 5 + 0. Solve -c*z - 25 = 5*j, 0*j = -4*z - j - y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 51337730*j + 131778126077645.\nAnswer: 5*(j + 5133773)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llldullllulgddg. What is prob of picking 1 l and 2 g?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 79349.14 millennia?\nAnswer: 793491.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*p + 3, -2*p - 3*p = -3*i + 9. Solve i*b - 32 = -5*m, 0*b + 4*b - m = 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 29.38.\nAnswer: -1.7628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -14775998.\nAnswer: 14775998.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 228.15 - 227.95. Let x(o) = o - 4. Let l be x(4). What is the second smallest value in -7, 1, l, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-35))\/(6\/15) - 9\/(-2). Solve -k - r*c = -21, 10*c - 20 = 5*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 116*n*r*s**2 + n*r*s - 43*n*r + 502*n*s**2 - n + 119*r wrt s?\nAnswer: 232*n*r*s + n*r + 1004*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6 - 2*h + 4*h**2 - h + 3 + h**3 - h. Let m be f(-5). Solve -3*n - m*l = -6, -l + 4*l - 2 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 864, 1804, 2754, 3720, 4708?\n\"Answer: f**3 - f**2 + 936*f - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1198 + -1198.5. Which is the biggest value? (a) -4 (b) 0 (c) v (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -29. Let d(y) = -2*y - 16. Let o be d(-3). Let q = b + o. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100010101000011000010110 + -101?\nAnswer: 1001100010101000011000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*b = 54*b + 59*b - 51 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11542 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-14)\/2016)\/(6\/24)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 13*s**8\/84 + 7*s**5\/30 - 5*s**2. Find the third derivative of o(c) wrt c.\nAnswer: 3120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79744*s**4 + 57*s**3 + s**2 + 55985118*s wrt s.\nAnswer: 956928*s**2 + 342*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*o - 9, o = -4*t - 0*t + 10. Solve -t*p - 3*m = 15, 6*m + 25 = p + m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 304 - -303. What are the prime factors of d?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 853204\nAnswer: -9385244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12186 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/4)\/8)\/(3\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dodocldooooood. What is prob of sequence dol?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 4872 - 1664. Suppose -291*t + l = -289*t. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by -14*3\/(-6) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 988756 by -247189.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1268 - 706. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.090926843 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9826148 a multiple of 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a + 4. Let f(h) = -9*h + 8. Let u = -3 - 0. Let y(g) = u*f(g) + 5*n(g). List the prime factors of y(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-60))\/((-3)\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6981708 * 1\nAnswer: 6981708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*w**3 - w**3 - 64*w**2 + 2*w**3 - 5*w**2 wrt w.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 157675260?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 18 - 4*o + 38*o)*(4*o**2 + 7*o**2 - 3*o**2).\nAnswer: 272*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlprppq. What is prob of sequence nrl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 29*k - 122*k - 71*k.\nAnswer: -161*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(44)\/(sqrt(24)\/sqrt(6)) - (3 + (sqrt(99) - sqrt(11))) - (-6*(sqrt(11) + 0) + sqrt(704) + -5 + sqrt(11))).\nAnswer: -4*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-34)\/((-20)\/(70\/14))).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2. Let o(v) = 1. Let a be (6\/9)\/(8\/(-12)). Let i(c) = c - 3. Let p(r) = a*i(r) - 3*o(r). What is z(p(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*y**3 + 2 + y**4 + 10*y**2 + y**3 - 8*y**2 to the form m*y**2 + p*y**3 + c*y + v*y**4 + j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 874 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 1 + a + 7\/2*a**2. What is the derivative of r(s) wrt s?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1046 = -4*h + i, 5*i + 1295 = 13*h - 18*h. Is h >= -260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 5*i + 1. Let f be d(5). Suppose l - f = -0. Is l greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - 3*w + 3*w)*(-16*w**3 + 10*w**3 + 3*w**3) as l*w + s*w**4 + j*w**2 + n + f*w**3 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from ttkkkfettttktft?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.5 and -1.\nAnswer: -15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 158811.\nAnswer: 3652653","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 3*u**2 - 8*u - 5. Let m be h(-5). Let y = 20 + m. Let b = -1 - -12. Sort y, -0.4, b.\nAnswer: -0.4, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-35)\/(-14))\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2994.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2\/264)\/((56\/48)\/(-7))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, 5, 5\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 2)\/(1 + 0 + -4). Let n be 2\/12*3 - 0. What is m in p - 2*m**4 + 0*m + 5\/2*m**3 - n*m**2 = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467154911?\nAnswer: 467154911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198683357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2030 and -157\/1050?\nAnswer: 30450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2059 - 2059.00001. What is w rounded to 7 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 622951 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/35)\/(-3 + (-20)\/(-8)). Find w such that -d*w + 0 - 2\/7*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 5:09 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o - 2. Is 1 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 12 - 8. Let y = f + -14. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8*g**2. Let k(r) = -5*r**2 - 39. Let w(s) = -2*s**2 - 13. Let y(o) = 3*k(o) - 8*w(o). Let z(n) be the first derivative of y(n). Calculate z(p(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 16*b - 162. Determine m(18).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15511, -15643, -15867, -16189, -16615?\n\"Answer: -s**3 - 40*s**2 - 5*s - 15465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -168.7, 0.4, -3\/5 in increasing order.\nAnswer: -168.7, -3\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*s = 196*s - 133 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1.5 (b) 1 (c) 2 (d) 4 (e) -1\/3 (f) 7 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (4 - 16) - 4 - (-7 - -12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(56)\/sqrt(4))\/(sqrt(72)*1 + sqrt(72)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/12)\/(1\/4). Let o(j) = -j - 15*j - r*j. Let l(k) be the third derivative of k**4\/8 - 12130*k**2. Give l(o(g)).\nAnswer: -63*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 - 20*c - 29. Let n be i(8). Let v(b) = -b**3 - 22*b**2 + 23*b. Let f be v(-23). Let m = 964\/7 - 138. What is the nearest to m in -5, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 49. What is the units digit of (-9 + w + 0\/1)*-107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.042 and 27182.\nAnswer: 1141.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1747 and 284037742.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22322021120 - -4?\nAnswer: 22322021124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/132 + (-108)\/198 - (-114)\/(-110).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 112020414, 448081664, 1008183748, 1792326666, 2800510418, 4032735004?\n\"Answer: 112020417*x**2 - x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*k + 3479552 - 4739944 = 4328464. What is the ten thousands digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**2 + 2*u + 2. What is f(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 1. Let a = 12 + -24. Let b(f) = -f**2 - 4*f + 4. Let d be -2*((-9)\/(-6))\/(-1). Determine a*j(z) + d*b(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3542*k + 1225530. Give y(346).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*(-1 + sqrt(832)) - sqrt(832))*-1)**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -14. Suppose 3*j = -p, -5*j + 6 = 5*u + 11. Let b(f) = f**3 - f**2 - 1. Let s be b(2). Solve 0 = -u*a + 1 + s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose -28 = -n*z - 2*z. Let w = -294.75 + 294.45. Which is the second smallest value? (a) 2 (b) w (c) z (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g - 259 = 228 - 395. Let n = 5 + -3. Determine j so that 0*j**n + 3\/5 - g*j**3 - 3\/5*j**4 + 2*j = 0.\nAnswer: -3, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1773636 - -3606\nAnswer: -1770030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-2\/19)*n)*n\/(n\/(((n*n*(n\/(n*n**(-12))*n)\/n)\/n)\/n))*n*(n*n**(-10))\/n*n**(-13) assuming n is positive.\nAnswer: n**(-188\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 12. Give v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -526*k**2. Let f(j) = 20*j. What is m(f(g))?\nAnswer: -210400*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1850 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, t: 6}. Give prob of picking 3 n.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = 5. Let t be 0\/s - (-2 - -1). Suppose c - t = 2. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14391367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.3, -254\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i + 3*i + 7 - 2*i. Let h be (0 - (5 + -2)) + -3. Let u(c) = -c. Let m(r) = h*u(r) + b(r). Give m(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5 - 4*b**4 - 5676*b**3 + 22410*b**2 + 286875*b + 506250 = 0.\nAnswer: -75, -3, 10, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/32*(-16)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 8, 4434?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 539940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13040115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 700 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 20 + (-17 + 1 - (7 + -18)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 4*t + 1. Let u be f(-2). Suppose 4*b = 2 + 6, -u*b = -v + 81. Factor -v + 50*m - 34 - 13*m**2 + 8*m**2.\nAnswer: -5*(m - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378)\/(-18)*(-6)\/(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:30 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*m - 21*m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 s when four letters picked without replacement from ssssslls.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 8*u - 1150. Suppose 0 = -2*l - 2*b + 7*b - 246, 2*l - b = -u. What is l rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 416 = h, h + 4*c + 1676 = 5*h. Is 28 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119 and 7.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 - 12*v**2 + 4*v - 8. Let m be k(6). Calculate the greatest common factor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-432)\/(-84) + (-2)\/14. Suppose -5*w + 2531 = -d*y + 7*y, 15 = 5*w. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1138 - -18221\/16. Find the common denominator of (6\/(-10))\/((-4)\/5) and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/22060390 and 157\/26284720.\nAnswer: 1235381840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*1\/5)\/(23*280\/(-193200))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*m - 1161 = 8*m, 299 = -n - 3*m. Let h = n - -309. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 13*v**2 + 4*v - 16. Suppose 34 = 4*n - 14. Let u be q(n). Let f = u - -29. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23502477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:07 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 23749, 0.5 in decreasing order.\nAnswer: 23749, 0.5, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.726 - -1.9. Let p = 0.026 + h. Put 0.4, p, 2\/13, -0.1 in decreasing order.\nAnswer: 0.4, p, 2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:54 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + x + 28. Is 7 a factor of t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 46, -3, -1, 1, -4 in increasing order.\nAnswer: -4, -3, -1, 0, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45241)\/(-91) - (-10)\/(-65). Let v = 189 + 308. Is y != v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47260 and 20420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/91 and -59\/455.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*2*48\/(-96). Suppose 3*v = -2*j + 3*j + 5, -3*j = 5*v - 27. Find the third derivative of x*k**5 - 9*k**2 + k**5 + j*k**2 wrt k.\nAnswer: 540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/(2\/63). Let x = -9 + u. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418315081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223198386.\nAnswer: 2, 3, 37199731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 800 divided by 5?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-83)\/(42579\/(-54)) - (-300)\/38.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 778 + 2786. Let m = -287 - g. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**3 - 13*x**2 - x - 15. Let r(w) = -2*w**3 - 7*w**2 - w - 9. What is -3*n(s) + 5*r(s)?\nAnswer: -s**3 + 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 1\/20*t**5 - 1\/6*t**4 + 0 + 1\/2*t**3 + 52*t**2 + 0*t. What is d(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5726*v**3 - 3905*v - 4. Let l(y) = -11452*y**3 + 7812*y + 9. Let f(j) = -4*l(j) - 9*t(j). Find the second derivative of f(b) wrt b.\nAnswer: -34356*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 19*m - 25. Let w be t(-14). Let j be ((w\/(-20))\/9)\/((-2)\/16). Let b = 24\/11 - 98\/55. What is the smallest value in b, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31628 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21251 - 9020. Is 81 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482010 is divided by 164607?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 2*p**2 - 4*p + 5. Let m be (-1 - 2)*(-8)\/6. Is h(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*g**3*x + 147*g**3 + 181*g**2*x + g*x - 38*x + 304 wrt x.\nAnswer: 8*g**3 + 181*g**2 + g - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -5*g + f, 4*g + f - 8 = 0. Suppose -g*u + 2 = -n, -2*n - 2*u + 1 = -1. What are the prime factors of 20 + n\/(6\/(-3))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.034 + 4.034. Let k = -4 - -4.3. Let g = -0.3 + 0.1. Which is the nearest to 2\/3? (a) k (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121 by -47.\nAnswer: 121\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqpzbdu. Give prob of picking 1 b, 1 z, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 451610 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 1)*(2 - 5 + 2)*(12*o - 1 + 3*o - 9*o) to q + b*o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 11 + 41 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 99*g - 136. Let i be n(-51). Solve l + 14 = i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 16*y**5 + 1350*y**4 - 2785*y**3 - 5185*y**2\/2 - 690*y - 1479. Solve i(q) = 0 for q.\nAnswer: -69, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a - 1. Suppose 3*u - h = h + 4, -5*h - 15 = -5*u. Let y be ((-6)\/(-3))\/(u - 7). Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23013 + 4?\nAnswer: -23004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4 - 14\/5*p + 2\/5*p**3 - 8\/5*p**2 = 0?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -958f?\nAnswer: 9592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 118*w + 0 + 0*w**3 + 0*w**5 - 3\/2*w**4 - 127\/2*w**2 - 1\/10*w**6. What is the first derivative of a(f) wrt f?\nAnswer: -12*f**3 - 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - (sqrt(9072)*-2 - sqrt(63)))\/(sqrt(9) - sqrt(144)*2).\nAnswer: -26*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -470021?\nAnswer: -7520336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8938?\nAnswer: 2, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 9*n + 20. Let z be q(-5). Suppose 17*h + h - 342 = z. Solve 17*j = h*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 634*h**4 + 637?\nAnswer: 2536*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.66 + 1.56. Which is the closest to 3\/5? (a) 1\/3 (b) 0.3 (c) -5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n*p - 36752*n*w**3 + 143*n*w**2 + 267*p*w**3 + 66*p*w**2 - 2*p wrt w?\nAnswer: -220512*n + 1602*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:13 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 1980?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 0*c + 2*c - 917*c + 335*c + 5637*c + (-2 + 2 + 2)*(-c + c + c) to t*c + q and give t.\nAnswer: 5059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2, -6.2, 0.1?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b**3 - 34 + 34 + 2*b - 12*b**2 - 29*b**3.\nAnswer: -62*b**3 - 12*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 2197 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 - 6*p - 3. Let h be c(-1). Suppose h = -3*d + 5*z + 19 + 48, z - 17 = -d. Let k(j) = -j**3 + 23*j**2 - 28*j - 33. Is k(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 713 - -277. Is 45 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 1, c: 9, f: 1}. Give prob of sequence cu.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/(-24) + (-2)\/(-3). Let m = 46.19 + -45.69. Which is the closest to h? (a) m (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*s + 10, s + 4*u + 8 = 9*u. Suppose 2*t - 4 = -s*t. Find the common denominator of -20\/3 and t*38*(-36)\/(-96).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 99800 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66292746 divided by -10907.\nAnswer: 6078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 10, -4, 1, -2, -155 in decreasing order.\nAnswer: 10, 3, 1, -2, -3, -4, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 16}. What is prob of sequence qq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*o**2 + 3*o + 336?\nAnswer: 80*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from ppjpbssjuppppppspub?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 = -c - 103. What are the prime factors of 10\/(-15) - c\/(-9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1137 = 10*c - 7*c. Let w = c + -249. What are the prime factors of w?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**3 - 6*h**2 - 4*h. Suppose 6*w - 20 = 2*w. Let v(p) = -6*p**3 - 5*p**2 - 3*p. What is w*a(n) - 6*v(n)?\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 4*d - 36, -5*d - 18 = 4*h. Let q = h - -7. Solve q*a - 20 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 25*v + 29*v - 46*v. Let o(t) be the third derivative of -t**4\/3 + 4*t**2 - 23*t. Calculate o(u(g)).\nAnswer: -64*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 694, 1252, 1960, 2830?\nAnswer: 3874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15978 - 1?\nAnswer: 15977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24877?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-88)\/33)\/((-4)\/42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71688881 = 2*t + 3*f - 7348869, 3*f - 96509988 = 3*t. What is t rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2706 + 11*i + 2706.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -27*z - 2. Let j(q) = -2 + 7*q + 5*q - 8*q - 30*q. What is 3*b(l) - 4*j(l)?\nAnswer: 23*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 105656 + 14.808\nAnswer: 105670.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16611*s - 16430*s - 7682 - 9513 for s.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 143732180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517843661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cooo when four letters picked without replacement from {o: 4, c: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -57 and -153518958.\nAnswer: -153519015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -72, -2\/3, 0, 20, 0.0416 in increasing order.\nAnswer: -72, -2\/3, 0, 0.0416, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 + -315.5956.\nAnswer: -315.5356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**2\/i))**(-1)*(i*i**(-1\/11))\/(i**3*i)*(i**(1\/5)\/i*i*i)\/(i\/(i*i*i\/(i*i**(-2\/15))*i))*((i\/(i*i\/i**2))\/i)**(-4) assuming i is positive.\nAnswer: i**(8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.03 * 3.\nAnswer: 111.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96*i**3 + 4*i**2 - 96*i - 4.\nAnswer: 4*(i - 1)*(i + 1)*(24*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1717, 6816, 15307, 27196, 42489?\n\"Answer: j**3 + 1690*j**2 + 22*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4389631944 - -0.1\nAnswer: 4389631944.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -167*(-2)\/((-2)\/(-19))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**13)\/(w*w**(-12)) assuming w is positive.\nAnswer: 1\/w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 410083928*z**2\/7 + 21021103500488648*z\/7.\nAnswer: 2*z*(z - 102520982)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22483656 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - m + 28 = -4*k, 3*k + 8*m = 15 + 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2549 - -6490. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = 0, r = 23*s - 24*s + 208. Calculate the greatest common divisor of 21 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 1. Differentiate -72*h**3 + 72*h**3 + 5*h**4 - q wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467.6053 decades to centuries.\nAnswer: 46.76053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -16. What is the least common multiple of 5 and 5\/(s*(-1)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476\/(-369)*(-36)\/(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -101.28, 1.6, -1?\nAnswer: -101.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 72*f**2 - 215*f + 428. What is the least common multiple of 620 and u(75)?\nAnswer: 11780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 1. Let y = 3 - 4. Let d(u) = u**3 - 12*u + 7. Let m be d(-4). Let x be 15\/60 + -2 + m\/(-12). Let p(n) = 5*n + 1. Give x*v(l) + y*p(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.4811 rounded to 0 decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-696)\/(-464)*88\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 445 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940821459.\nAnswer: 3, 37, 557, 15217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2362 from 773.\nAnswer: -1589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 3649 + 3649.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and -5967809.4774.\nAnswer: -5967802.4774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - 4*o + (-4*o + 13*o + 14*o)*(0 - 1 - 1))*(1 - 1 - 2) + (-2 - 3 + 7)*(-2*o + 0*o + 4*o).\nAnswer: 104*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499 - 431 = -10*w. Suppose 8*y - w = -23*y. Solve -2*v = 4*j + 16 - 0, -y*v = 5*j + 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16077 divided by -3?\nAnswer: -5359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1982 = 4*f - 3*g, -505 = -3*f + 2*f - 4*g. Let m = f - 308. Let q = m - 114. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + q + 112, -165 = -4*t + q + 55. Calculate the highest common divisor of t and 1719.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsjbpafpa. What is prob of sequence fba?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 10987443?\nAnswer: 153824202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-48)*-12*40\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.942154 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235 - 10 - (0 - -2 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 96.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (6 - -1) - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**4\/6 - 5*t. Let h(u) = -2*u**2. Calculate h(g(z)).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100.7 + 101. Let i be 6*-1*(-7)\/112*-8. What is the third biggest value in -446, l, i?\nAnswer: -446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 17.99999995. What is w rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 - 2*u**5 + u**5 - 4 + 4 - u**5 + (-5*u**2 + 2*u**2 + u**2)*(3*u**3 - 2*u**3 + 0*u**3) + (7*u**4 + 5 - 5)*(-u + 3 - 3).\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1169 less than 62433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -821 + 816.11. Let x = l + -0.11. Which is the closest to 2\/3? (a) 3 (b) -2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5358027 + 2?\nAnswer: -5358025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*u + 3*u, -3*u + 3 = 5*p. Suppose b - 3 = -3*l, -5*b + 9 = -2*b - p*l. Solve 2*r + 22 = -4*c, b*r - 3*c + 0 + 6 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 269*v - 2104. What is t(8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 124659676*a**2 - 132589872.\nAnswer: 249319352*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 8*y**2 - 5*y + 14. Let v be c(-8). Let b = 60 - v. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042200 rounded to the nearest ten thousand?\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/712288 and 55\/623252.\nAnswer: 4986016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 0.23, -0.4, -2, 14, 2\/11?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -4, -0.3, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3*(-3054)\/248392.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w - 5. Suppose w = 2*p - 24. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-110)*-23*36\/8280*-20?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 298415*v + 43867001. Give g(-147).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*i - 29. Let q(m) = m**2 + 3. Let t be q(-5). Let o = t - i. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 17 + (22 + -21 - -20).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 4:28 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7294466549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*h = -158*h - 113*h. Let i(w) be the second derivative of 0*w**2 + 1\/2*w**3 - 12*w + h. Let c(v) = -13*v**2. Give i(c(m)).\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -9*b + 116. Let m be a(12). Calculate the highest common factor of 344 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/3*(2\/(-30))\/((-24)\/20).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**3 - p**3 + p**3 + (3 - 3 - 2*p**3)*(-1 - 4 + 3) - 5*p**3 - 7*p**3 - p**3 + 5*p**3 - 2*p**3 - 2*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-350886)\/(-12) + (-9)\/(-24)*4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*p + 1 + 141*p**4 - 166*p**4 - 38*p - 13*p**3 + 86*p to v*p + i*p**3 + j*p**4 + r + z*p**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15506 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9300198247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.78*376.8.\nAnswer: -670.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/20*41\/((-1107)\/180)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q. Suppose 3*k - 5*m - 29 = q, 4*k = -3*m - m + 60. Calculate the remainder when 62 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 768 - 763. Solve -3*q + 24 = 5*t, 0 = -u*q - t + 5 + 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u + 5*o - 10*o, 5*o + 12 = 3*u. Find the third derivative of 40*v**4 - 41*v**4 + 15*v**3 - 203*v**2 - u*v**3 wrt v.\nAnswer: -24*v + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 + -139. Suppose -s + 3*s - 144 = 5*i, 5*i - 216 = -w*s. Calculate the greatest common divisor of 36 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51067 at least as big as 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**3 - 13413090*u**2 - 8995629645405*u - 107945624268540 = 0 for u.\nAnswer: -1341303, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 984140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**15\/(f*(((f*f\/(f\/(f**(-4)*f)))\/f)\/f)\/f)*f\/(f*f**(-12))*f*(f\/f**(-22))\/f*f assuming f is positive.\nAnswer: f**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 6. Let t be f(9). Let -40*m**2 - 17*m**3 + 3*m**5 - 45*m + 23*m**3 + 12*m**5 - 10 + 50*m**4 + 24*m**t = 0. Calculate m.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 - 6*f + 11. Let w(k) = -k**2 - 1. Let n(o) = -h(o) - 3*w(o). Let r be n(4). Factor r*j**3 + 1 - 5 - 8*j + 8*j**3 + 4*j**4.\nAnswer: 4*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {f: 1, b: 4, w: 5, n: 4, l: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -192087829?\nAnswer: 192087830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 1, x: 2, k: 1, u: 1, h: 1}. Give prob of picking 2 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -13 - 0 - (4 - 5)) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 4.6, 4, 28 in descending order.\nAnswer: 28, 4.6, 4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43425 and 1125.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-57348802)\/(-44) - 2) + -2. Let s = m - 1300670. Let h = s - 2710. Calculate the common denominator of -41\/22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - 6) + 9 + 7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29.755648 at least 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 414 = 2*b, -4*j - 2*b + 552 = -0*j. List the prime factors of j.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*y + 2*r + 3*r, 4*y - 17 = 3*r. Let v be (-48)\/36*4\/(176\/(-6)). Let u = 0.2 + 0.3. What is the nearest to 0.2 in u, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((126\/(-132))\/21)\/(-1)*-4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 284669271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-25))\/((-32)\/(-170)). Let l = -195\/88 - r. Let s = 12 - 11. Which is the nearest to s? (a) 2 (b) l (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 - -119. Suppose -14*z = -t*z - 24. Solve 0*n - z*n = 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40\/(-28))\/(4\/(-14)). Solve p = -z*q + 22, -q - 3*q - 5*p + 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 1234 = 1206. Let b(x) = x + 5. Give b(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -380.8954 and 3?\nAnswer: -1142.6862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from fcofqlo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -5*u - 4*w, -4*u - 3*w - 61 = 59. Let x be ((-36)\/u)\/(6\/(-20)). Put 2, 0, x in decreasing order.\nAnswer: 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-9)*p*p**(-1\/4)*p**7\/p*p*p*p*p\/((p*p**10)\/p) assuming p is positive.\nAnswer: p**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5799 - 44644.7912.\nAnswer: -44647.3711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2760*c**5 - 30365*c**4 + 41455*c**3 + 74445*c**2 - 135*c = 0?\nAnswer: -1, 0, 1\/552, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/9 - 138908*n**2\/9 - 138914*n\/9 + 277820\/9 = 0.\nAnswer: -2, 1, 69455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 3749.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -915754 > -916195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -524*f - 2111. What is v(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjajhahjvavjjaahhh. What is prob of sequence abj?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*p + 10 = 0, 2*c - 5*c + 4*p + 15 = 0. Suppose -c*f + 10 = -10. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -21 (c) -6 (d) -92\/9 (e) 12\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.5079 milligrams in nanograms?\nAnswer: 106507900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -551231115 - 1?\nAnswer: -551231120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 10. Calculate the smallest common multiple of (4 - 2) + (0 - -1) and -1 + (-6)\/(n + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 130 - -65588?\nAnswer: 65728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/4 + 24\/(-32). Let i(c) = c**2 + 5*c + 6. Let y be i(-4). Let t be (6\/(-9))\/(y\/j). Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 48 = 20. Solve -20 = -t*f - 2*b, b + 15 = 3*f - b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (37 - 41) + 5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -36) + (-2 - 17) + -4\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a**2 - 19*a**2 + 19*a**2 + 14*a**2. Let u be (-185)\/(-3) - 1\/(-3) - 3. Let z(v) = -u + 2*v**2 + 59. Determine z(t(n)).\nAnswer: 1682*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2018.3 - 2181. Let f = l + 163. Let s = -3.08 + 0.08. What is the nearest to 0 in f, 3\/5, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 66\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 1. Let w = -1 + n. Let o = w - -10. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*0.40758.\nAnswer: 2.44548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0. Let g be (2\/5)\/(y\/290). Suppose 2*z = 6*z - g. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 18*t**2 - 16*t + 30. Let n(q) = q**2 + 3*q - 27. Let g be n(-5). Let y be i(g). What is the greatest common divisor of y and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*g + 46, -3*t - t + 2*g + 184 = 0. Calculate the remainder when t is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3145 = -2*f - 5*h, 2*h = -f + 626. Calculate the remainder when f is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*z - 2. Let s(f) = 61*f**3 + 2*f**2 - 1. Let g be s(z). Round g to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -167.9.\nAnswer: 5.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(3 - 2) - 0\/1. Let m(p) = 37 - p + 4*p**o - 36 - 5*p**2. Give m(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -59 (c) 477 (d) -1\/6 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3*12\/(-10). Let w be (-34)\/((-2)\/(-2)*-4). Let p = 10 - w. What is the nearest to v in 1\/5, -2\/5, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1253324 (base 6) to base 16.\nAnswer: 10f54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 6:58 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1287)\/7371 + 2\/7. Sort 0.9, -0.6, -0.1, a.\nAnswer: -0.6, -0.1, a, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4.5. Let h = -1 - p. Let z = h + -0.3. Are 1\/4 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (9 - -22 - (-31 - -31))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254871 is divided by 121946.\nAnswer: 10979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z - 2 = -u, 4*u - 4*z - 32 = 0. Suppose 3*k = 3*h + 21, k - 32 = -3*k + u*h. Let d = 11 - k. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 3143.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 460931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.1 + 2.9. What is the closest to 0 in 0.4, -4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -728 * -0.268.\nAnswer: 195.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-30)*-9*2\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 18*q - 29. Is s(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**2 - 11*i + 11. Let y(p) be the second derivative of -p**4\/12 - p**3\/3 + p**2 - p. What is -4*f(b) + 22*y(b)?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 7\/4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -631 + 536. What is the common denominator of ((-415)\/20)\/(d\/(-10)) and 51\/20?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4297, 4312, 4327?\n\"Answer: 15*u + 4282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -15 + 5. Suppose z*w - 98 = -28. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318*x + 350 + 390 + 214 = 0. Solve -f + x*i - 2 = 7*i, -5*i - 1 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 526 + 229. Let n = t + -132. What is the greatest common factor of 513 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2598\/8 - -4) + (-1)\/(-4).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**7\/210 + o**6\/20 - 7*o**4\/2 - 4678*o**3\/3 - 3*o**2 + 4. Differentiate q(j) wrt j.\nAnswer: 4*j**3 + 18*j**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 159, 219, 309?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50366363*m**4 - 70954597?\nAnswer: -201465452*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 66*q**2 - 60*q - 128.\nAnswer: -2*(q - 32)*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/25 and 133\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 100 = 5*t, -2*t - 4514*y - 176 = -4521*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -72\/595 and -78\/75565.\nAnswer: 75565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, c: 2, f: 3}. What is prob of picking 2 c?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaaataaattat.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/170 and -39\/110.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**13\/s**(-1\/6))\/(s*s**(2\/27)*(s**(-2)*s)\/s) assuming s is positive.\nAnswer: s**(761\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a1483 (base 11) to base 4.\nAnswer: -1023201313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*d, 2*k = 3*d + 7 + 7. Suppose 5*t + 92 = -73. Let n = t - -41. Solve 0 = -k*m - 0*m + n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7585224 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a**3 + 2\/15*a**5 - 7 + 0*a**2 + 0*a - 1\/6*a**4. Factor k(c).\nAnswer: 2*c**3*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 105973808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*l + 16 = 200*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 8 = f, -f = -4*p + 30617. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 124 in increasing order.\nAnswer: -6, 1, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2113304*i*o**3 - i*o**2 + 24*i + 2*o**4 + 2*o**2 - 328*o + 174 wrt o?\nAnswer: -12679824*i + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47836054519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1613.7 - 1613. Which is the nearest to p? (a) 3 (b) 2\/21 (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14184 is divided by 982?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 1\/210*d**7 - 1\/36*d**4 + 0 - 1\/60*d**5 + 0*d**3 + 1\/360*d**6 - 27*d**2 + 0*d + 1\/1008*d**8. What is h in t(h) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -11 + 26 + (-4 - (6 - 9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -158*r + 7*r + 14*r - 95*r - 177. What is the hundreds digit of i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, w: 3}. Give prob of sequence aww.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l\/(l**11*l))\/l))*l)**25*(l*l**13)**49 assuming l is positive.\nAnswer: l**411","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 8*d**2 + 6*d - 10. Let n be g(-7). Let h(k) = -5*k - 4 + 3*k**2 - 5*k**2 + k**2. Is h(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -386833105146\nAnswer: 386833105138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0*m**2 + 1\/6*m**4 + 0 + 3*m + 0*m**3. Let f(w) be the third derivative of 7*w**4\/24 - w**2. Give f(k(d)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978407?\nAnswer: 211, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 7 - 1)*(2*a**3 - 6*a**2 + 6*a**2) - 157*a**3 + 7*a**2 - 8*a**2 + a**3.\nAnswer: -134*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 96*c**2 - c + 56. Let f be q(48). Let l be ((-156)\/(-1))\/(f\/(176\/33)). Sort 4, -4, -1, l.\nAnswer: -4, -1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.4. Let p = -0.46 - -0.26. Which is the closest to 1\/3? (a) p (b) 7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 34 - 42. Suppose 0 = -a - j - 0*j - 2, -4*a + j + 2 = 0. Suppose 2*z + m - 155 = a. Round z to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/132 and 47\/1176?\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {d: 2, c: 1, i: 2, k: 1, h: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 7:22 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1242 and 82782?\nAnswer: 1903986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -7. Let n(x) = -x**3 - 5*x**2 - 4*x + 1. Let r be n(-4). Let k = -0.4824 + 0.2824. What is the closest to -1\/3 in k, r, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 2*d + 34, -d + 16 = -u - 3*d. What is the tens digit of (-7)\/(21\/u)*(-83)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, g: 3, x: 9}. What is prob of picking 2 n and 1 x?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 45 = 7*o. Suppose -3*t + m + 3 = 0, -3*m - 4 = -4*t - 0. What is the lowest common multiple of o and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -2259998\nAnswer: 9039992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3)*(-12)\/8*3. Let p be (-4)\/(-4)*(-3 + a). Suppose 2*w - 4*h - 118 = p, -127 = -2*w + 2*h - h. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142200141 (base 7) to base 6.\nAnswer: -531533003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*sqrt(40)\/sqrt(4))\/(sqrt(2) + sqrt(20)\/sqrt(40)))**2 + sqrt(5) + 2*(sqrt(5) + 1) + sqrt(245)*-4.\nAnswer: -25*sqrt(5) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-4)*56\/(-35). Is 34 a factor of (13\/(-2))\/(y + 100\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -25.9. Which is the smallest value? (a) -3\/5 (b) 2\/9 (c) 3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -112420*n + 32714210. Determine i(291).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -114c (base 14) to base 8\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9 + 1 - (0 + -14)) + 51974. Round u to the nearest one thousand.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stsz when four letters picked without replacement from zdzzdsdtzzzzss?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 11) to base 8.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -40*c**5 - 76*c**4 + 48*c**3 + 76*c**2 - 8*c = 0.\nAnswer: -2, -1, 0, 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/508896 and -73\/1890.\nAnswer: 17811360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3935\/75 + (-4)\/6. Let k = 52 - q. Which is the third smallest value? (a) k (b) 4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -36 - 29) + (13 - -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 712\/1400 + (77\/(-25) - -3)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000279459562 rounded to five dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0 - 6. Is p + (-189)\/((-1)\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.27 plus -495?\nAnswer: -432.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 371, -2, 3, -3, 1 in descending order.\nAnswer: 371, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 24. Let v = 2 - i. Suppose -v - 2 = -y. What is the highest common divisor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60.88 times 2.07\nAnswer: 126.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 334.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23548*a**4 - 2*a**3 + 15*a**2 - 2758192 wrt a.\nAnswer: 94192*a**3 - 6*a**2 + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) - (-34)\/66. Let i = -2 + 2. Let a be 1*(0 - -1 - i). Is k equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x - 15. Suppose 4*q = 3*q - 5*a - 23, -2*q + a - 2 = 0. Let m be z(q). Does 11 divide (72\/(-24))\/(m\/229)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428700 to the power of 1\/2, to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 208 + 218 = 0. Does 27 divide d\/(1\/1)*(-66 - 189)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250074674?\nAnswer: 2, 125037337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaaa when four letters picked without replacement from {a: 3, z: 1, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -612*d**4 - 35*d**3 + 939*d - 86521402 with respect to d.\nAnswer: -2448*d**3 - 105*d**2 + 939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -83*b**3 - 3*b**2 + b + 3. Let o be l(-1). Suppose 61*t - o = 59*t. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13174\/12 + 10\/1500*25 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228000077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 44*f**2 + 94*f - 93. What is i(42)?\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-26)\/(-10))\/(-13))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (-1*1*sqrt(343) - sqrt(343)))**2*-4.\nAnswer: -12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.5869 hours in minutes?\nAnswer: 17015.214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o**5 - 1430*o**4 + 36840*o**3 + 85850*o**2 + 55585*o + 7980 = 0 for o.\nAnswer: -76, -1, -1\/5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/11 - 8*l**4 + 960*l**3\/11 - 3744*l**2\/11 + 4320*l\/11 = 0.\nAnswer: 0, 2, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*d + 52. Find the second derivative of 4*b**4 + 4*b**4 + d*b + 5*b wrt b.\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**4 + 587*l**3 - 9717*l**2 wrt l.\nAnswer: 24*l + 3522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0.5, -1\/4, -138?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(5\/8))**(19\/3)*g\/(g*g**(-23)*g*g)*g**(-22) assuming g is positive.\nAnswer: g**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68168b (base 12) to base 6.\nAnswer: 55340255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -339 - -2370\/7. Which is the second smallest value? (a) l (b) -2\/7 (c) -44\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 + -0.08. Let b = 2.04 - 0.04. Let v = 23 - 93\/4. What is the second biggest value in h, b, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.14 - -0.14. Let x = 27.2 - 27. Which is the third smallest value? (a) y (b) x (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4348 + -0.29. What is s rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 19. Let t be s(-24). Sort -4, -3, 13, t.\nAnswer: -4, -3, t, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 241 and 67721.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 2. Let p(d) = 1. Let n(l) = -2*p(l) - q(l). Let v be (2 - -1) + 6 + -3. Calculate the remainder when n(v) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*n - 5*n - 5 = 0, -4*i + 5*n = -25. Solve -28*g + 53*g + 50 = i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b - 6 + 2 + 3 + 6*b. Let j be (0*(-1)\/(-2))\/(-2). Suppose 0 = -x - j + 3. Determine u(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p - 134*p**2 + 745*p**3 + 16 - 12 - 595*p**3 - 379*p**3 wrt p.\nAnswer: -1374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049034477?\nAnswer: 3, 67, 5219077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 + 2 - 2*r**2 + 5*r - 19*r + 0 + 11*r as g*r**3 + c + j*r**2 + v*r and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 28 = -2*r. Let k(u) = u**3 + 5*u**2 - 10*u. Let h be k(r). Is (h\/(-6))\/(6\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = 0, -v + 3*j = -2*j - 11. Are v and 6\/37 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1524 divided by 2?\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 4*n. What is the least common multiple of i(6) and ((-124)\/10)\/((-4)\/10) - -1?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1, 28711, 29, -4 in descending order.\nAnswer: 28711, 29, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 431 + -164094383.\nAnswer: -164093952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 9 = -5*j + 3*m, 5*j + 5*m = -35. Let s = 5 + 9. Let b = -11 + s. Sort j, 2, b, 4 in descending order.\nAnswer: 4, b, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 699 + -191. Let z = s + -296. Suppose -8*g + z = -12*g. Round g to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24959380?\nAnswer: 2, 5, 1247969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -47 - (22 + (3 - 48)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -314092.6 and 0.0623.\nAnswer: -314092.5377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 4:13 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(7) - (sqrt(63) + sqrt(7))))**2*5*3.\nAnswer: 95\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 264 - 144. Calculate the common denominator of 1 + 2 + (-258)\/i and 75\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 7) to base 8\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*y**2 - 6150*j**3*y + 10*j**2*y**2 - j*y + 225*y**2 + 1 wrt y.\nAnswer: -4*j**3 + 20*j**2 + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.83 and -467976.\nAnswer: 2728300.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - 114?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 1658*j\/3 - 1108.\nAnswer: 2*(j - 831)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -4. Let z(f) = -3*f**2 + 5*f**3 - 3*f**a + 0*f**2 + 0*f - 2*f + 4. Let o(r) = r**3 - 4*r**2 - 3*r + 4. Let v(n) = -3*o(n) + 2*z(n). What is v(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 + 6.6. Let n = g + -3.1. What is the second smallest value in n, 0.5, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 - x**2 + x**2 - 5*x**2 - x**2 + 4*x**2 + (0*x + x + x)*(2*x - 2*x + 2*x) + x**2 - 4*x**2 + 2*x**2 - 34*x**2 - 66*x**2 + 133*x**2.\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.449 + 0.049. Let y = -113.6 + r. Is -2\/3 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/8)\/t)**(2\/15)*t*t*t*t**(-1\/3)*t**(-8) assuming t is positive.\nAnswer: t**(-331\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101 + -1?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/z**(-3\/13))*z)\/z)**(4\/13))**(-3\/2))**(-4) assuming z is positive.\nAnswer: z**(-72\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76440948 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 657 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-135)\/180 + 31618\/2388. Let z = 44\/597 - x. Calculate the common denominator of 53\/162 and z.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1356 - 1355.9. Let h = 5 - 3. Put 1, -1, f, h in increasing order.\nAnswer: -1, f, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83740543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*q, -l = l + q - 137. Let z = 73 - l. Solve 4*f + 2*h + 2*h = 0, 4*f - 5 = -z*h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/24)\/(3 + (-75)\/10).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 8*f - 10*f - 6, 5*b + 5*f = 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 666 - 146. Calculate the remainder when r is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 246110671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -17. Let z be (0 + 0)\/(y\/(-8)). Suppose 5*l - 3*d - 30 = 0, -3*d - 2*d - 25 = z. Solve v - 2 - l = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39146, 39147, 39148?\nAnswer: 39149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 52 = -234. Let v = i - -6. Solve 5*c + 4*h = 13, -c + 4*h + h = -v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -33*w**3 - 31*w**2 - 11*w + 18. Let b(k) = -10*k**3 - 10*k**2 - 4*k + 6. Let v(z) = 10*b(z) - 3*i(z). Determine v(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/5704 - -2837\/17112. Let r = 452\/15 + -30. Let y = 182\/15 - 54\/5. What is the closest to y in r, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 3. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 164 = 106. What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*k + 192. Let i = -140 - k. Let b be 14\/4*i\/(-77). Solve -3*m - 2*g + 6 = 0, 4*m + 4*g = 14 - b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 1. Suppose 28*l + 81 = 37*l. Let c(y) = y**2 + 8*y + 4. Suppose -33 = 4*b - 1. Let j be c(b). Let m(w) = -2*w - 2. Determine j*m(h) + l*n(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 976171041 to the nearest integer?\nAnswer: 31244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 25 = -4*j. Suppose 9*z - 29 = j. Let g(f) = 14*f + 13. What is the tens digit of g(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -313.81 or -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from {a: 1, g: 2, n: 2, s: 2, l: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 360590253981\/16 + -22515995057. Let r = z - 20911899. Let v = -16088 - r. Calculate the common denominator of v and -101\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703 minus 1872784?\nAnswer: -1871081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -1. Suppose 126*g - 135*g - 144 = 0. Let d = -0.092 - -0.592. What is the nearest to p in -1\/6, d, g?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53\/253 + -9\/23. Let j be (-3)\/((-252)\/4)*-52. Let n = j + 15\/7. Which is the closest to 3? (a) n (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98 * 60801.\nAnswer: -5958498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(81)*2)\/sqrt(3))\/((sqrt(270)\/sqrt(5))\/sqrt(6) + -2*sqrt(576)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4216, 4162, 4034, 3796, 3412, 2846?\nAnswer: 2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3853080 is divided by 6205.\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, 73, 98, 103, 82, 29, -62?\n\"Answer: -r**3 - r**2 + 49*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4 times -578?\nAnswer: 2543.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y + 14*y - 25*y.\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*d - 568, -u + 5*d + 0*d - 142 = 0. Let k = u + 200. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 57040.4\nAnswer: 57014.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2) + 2*2. Let w(h) = h - 4. Let d be w(i). Which is the nearest to d? (a) 4 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 2*d**3 + 3*d**3 + 439*d**2.\nAnswer: d**3 + 439*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 19473*m. Let j(f) = -275*f. What is y(j(o))?\nAnswer: -75625*o**2 - 5355075*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45.8 - -46. Let f = -1 - 4. Which is the closest to 1\/2? (a) 2 (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h. Let d(k) = 176 - 176 + 3*k - 8*k. What is g(d(u))?\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20220 divided by -1069.\nAnswer: -20220\/1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 0*n)*(-n + 2*n + 10*n).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -54, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -1, 15.\nAnswer: -4, -3, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29084669*z**3 + z - 28175352?\nAnswer: -174508014*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11 + 1 - 16*p**4 + 2 - 7 wrt p.\nAnswer: -64*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/(sqrt(44)\/sqrt(4)) - 2*sqrt(54)\/sqrt(2))\/(2*2*sqrt(576))*5.\nAnswer: -5*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132 (base 9) in base 2?\nAnswer: 11000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/40 and 111\/178660.\nAnswer: 357320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1004.5 + -1004. Let r = 20 + -59\/3. Which is the third biggest value? (a) -5 (b) r (c) -1\/4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*f - h, -94*f + 93*f = -3*h + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33635 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 + 0*q**2 + 2*q**2)*(-12 - 18 + 3) in the form v + h*q + p*q**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dbc3 (base 14) to base 8.\nAnswer: -112157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 506*c**3 - c**2 + 12*c - 11. Does 46 divide z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 3*v - 2. Suppose -3*w + 15 + 15 = 5*s, 2*w + 4*s = 22. Suppose -f = w*m + 9, 3*f + 4 = -m - 9. Give n(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-two fifths of a centimeter?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-1)\/33*(-111)\/185.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(42)\/(-3*sqrt(7)))\/sqrt(2).\nAnswer: -2 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -205, -336, -415, -436, -393, -280?\n\"Answer: h**3 + 20*h**2 - 198*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 10*c + 5. Let v be s(5). Let m be (-8)\/v*5\/6. Let f = -0.1024 - -0.1024. What is the third biggest value in f, -7, m?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 15*l - 7. Give w(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q - 46. Suppose -10*l - 201 = -11. Let i be d(l). Suppose i = -5*a + 2*a. Calculate the common denominator of a and 59\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.022 and -2755.57.\nAnswer: -60.62254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(2*(-3)\/9)\/((-40)\/(-60))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -132\/7 (b) 2 (c) -0.4 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q**2 - 17*q - 110. Let p be u(-5). What is the greatest common divisor of 45 and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -114365703.\nAnswer: -228731406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z, 2*a + 2*z = -10 + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 523 = 517 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 120401459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.957 - 5.557. What is the nearest to -2\/65 in c, 0, -0.16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 4*r + 2. Suppose -3*v = -3*b - 9, -5*b + 25 = -2*v + 7*v. What is the remainder when 10 is divided by q(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 11}. What is prob of picking 2 i?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 - 2.23. Let f = 0.03 + z. What is the third biggest value in -5, 1, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -56. Solve -f = o + 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87 less than 2.82?\nAnswer: 1.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + k + 60, 0 = -3*c - 2*k + k + 176. Suppose -35 = 2*d + c. Let p = -15 - d. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 24*h**3 + 32*h**2 - 70*h + 9. Calculate t(2).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 3. Let b be o(7). Suppose 0 = -52*i + 38*i. Solve r = -i + b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-114)\/12 - 13 - -22. Which is the smallest value? (a) g (b) 2 (c) -1\/254\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-3\/7)*r)\/r)\/r)\/(r**(3\/2)\/r) assuming r is positive.\nAnswer: r**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 7:38 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 3*a - 6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15730493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 15\/4 of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 2:59 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (3*sqrt(34)\/sqrt(2))**2*2).\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-3))\/((-1)\/(-3)). Let z be -4 + 58\/40*48\/6. Let u = z - x. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -930*a + 937*a - 70 = 0. What is the nearest to a in 0.03, 5, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 7*r**2 + 3*r + 1. Let x = -18 - -25. Let b be t(x). Suppose 0 = -2*f - 0*f + b. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 63889920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 4. Let t be u(-4). Solve n - j + 8 = j, -4*n - t = 2*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 34\/5 of a meter?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 73525.\nAnswer: 73524.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25389.\nAnswer: 3, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i*(i*i\/(i\/(i\/i**19)))\/i)\/i)\/i)\/i**24)\/(i**(2\/39)\/i**(-16)) assuming i is positive.\nAnswer: i**(-2264\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6048\/357)\/(-32)*(-4)\/(-18).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 + 1.47. Let q = h - 0.067. Round q to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208705?\nAnswer: 5, 103, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 1:21 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 16 = -2*q. Is (-471)\/9*(-12)\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 13. Let y be h(8). Calculate the greatest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from bxyyyxxxyykxwwy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-one quarters of a tonne?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2317, 4624, 6927, 9226, 11521?\n\"Answer: -2*x**2 + 2313*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -54*g + 1231. Give v(19).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*i - 209 = 0, i + 13 = -y + 66. Let n = 62 - y. Let l = 43 - 29. Calculate the lowest common multiple of l and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 0 - (41 + -44). Sort 6, p, -1, -4, -2 in ascending order.\nAnswer: -4, -2, -1, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/18 and 125\/3696.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2)\/16*28*2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 11 = 2*b. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyhyyy. What is prob of sequence hhy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -36*s - 2. What is r(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*g + 8 = 0, -14*k + 10*k + 11*g = 53 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 1\/7, -138, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2218117 - -2218171.99835. Let r = f + -55. What is r rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/67 (b) 3 (c) -1.455\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 14 + (4 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z - 2*v = 34*z - 5, v - 4 = 0. Solve -2*r - 9 = 3*o, -z*r - o = 3*o + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/(-6))\/((-1)\/20). Let r = 74 + l. Solve -t - 2*s = -11, 4*t + r*s - 28 = -0*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159 and 901.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/978 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/36 - (-1360)\/3528. Let b = i - 8\/49. Let v = -73\/2 + 38. Sort b, -3\/4, v.\nAnswer: -3\/4, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 3, 669, 0 in increasing order.\nAnswer: -2, -1, 0, 3, 669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 74\/117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**2 + 2*w**2 - 2*w**2)*(3*w**2 - 2*w**2 + w**2) + 7 - 3*w**4 + 3*w**4 + w**4 to m*w**2 + r + q*w**4 + o*w + h*w**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/702 and 53\/1872.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 13. Let t(f) be the first derivative of f**2\/2 + 11*f - 2. Let j be t(-9). Suppose -m - 16 = -j*l - 3*m, 3*l - 2*m - 14 = 0. What is q(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i + 2. Suppose 48*s - 8 = 46*s. Suppose s*c - 10*c = 30. Let g(b) = 4*b - 3. Let p(m) = c*t(m) - 4*g(m). Calculate p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 w, and 1 q when three letters picked without replacement from qwmqmkkybmmwbkwqq?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -147*o**3 + 189*o**2 - 81*o + 81\/7 = 0.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2. Let i(l) = -17*l - 6. Let c(p) = -3*b(p) - i(p). Let y(t) = 53*t. Let u(m) = 7*c(m) - 2*y(m). Give u(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0 - 2 - (6 - 11). Suppose 2*u + 5671 = -f, -6549 - 1959 = 3*u + s*f. Is (-2)\/8 - (u\/28 + 5) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -22*l**4 + 2*l**3 + 2*l + 1. Let v(m) = 44*m**4 - 5*m**3 - 5*m - 3. Let w(o) = 5*q(o) + 2*v(o). Differentiate w(n) wrt n.\nAnswer: -88*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 12, n: 3}. Give prob of sequence nxn.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363387809?\nAnswer: 363387809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g - g + 2*g + 0*g + 4*g - 2*g + (g + 3 - 3)*(-4 + 3 + 0) - 2*g + 2*g + g + 13 + 9*g - 13 + (g + g + 0*g)*(-2 + 0 + 4).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 211316560 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100200112212 (base 3) to base 14.\nAnswer: -4d6b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i. Suppose -2*l - l + 5*d = 16, 4*d - 6 = -l. Let n be (-5 + 1)*l\/4. Let v = 1 + n. Determine o(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89457797, -178915598, -268373399?\nAnswer: -357831200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 0. Let o be (-4)\/(-2) + (h - 1). Let v be o\/(-2)*6\/(-4). Solve -15 = -3*k - 3*j + 5*j, -9 = v*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 395296105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a day in seconds?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 46*y**2 - 713*y - 1028. What is v(-58)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 877, 1645, 2307, 2863, 3313, 3657?\nAnswer: 3895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 44. Let d be s(-20). Is (6 + d)*655\/10*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/3, 2, -3\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006032751 to five decimal places.\nAnswer: 0.00603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 229, 260, 271, 256, 209?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -485*r**8\/336 - r**6\/120 - r**5\/30 + 903*r**4\/4 - 4950*r**2. Find the second derivative of i(h) wrt h.\nAnswer: -9700*h**3 - 6*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-77 + 674 - 85)*(-13*j + 6*j + 6*j - 4) to the form s + h*j and give s.\nAnswer: -2048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*v - 1420 + 166 = 506 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 7*n - 4. Let j be x(5). Let p(h) = j*h - 5*h + h. Let b(r) = 5*r. Give b(p(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -12. What is the closest to -0.1 in 1, a, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 16, -13, -38, -59?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, -10, 0.1 in descending order.\nAnswer: 101, 0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 74. Solve 20 = i*g + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from fiffifff.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 704477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27241926 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 10. Let b be t(5). Is -2\/49 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -22*a**3 - 2*a - 1. Suppose q = -2*x - 0*q - 1, 3*x = 2*q + 2. Let b be x + (4\/1)\/(-4). What is the units digit of g(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -355 - -312. Let b = 42 + r. Let a = -74\/125 - 1\/125. What is the nearest to 0 in -5, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4806, 38627, 130430, 309207, 603950, 1043651?\n\"Answer: 4832*o**3 - o**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 413332*c*l**3 + 6*c - l**4 + 19527 wrt l.\nAnswer: 1239996*c*l**2 - 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -16 + 2 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 489567*t**3 + 539891*t**3.\nAnswer: 1029458*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 747538, 747527, 747516, 747505?\n\"Answer: -11*a + 747549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 111230 (base 5) to base 12\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -3*k + 12, 0*k + 12 = 5*a + 3*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.9 + -10.064. Let g = z + -2.836. Which is the nearest to -17\/5? (a) 4\/5 (b) 1\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.054083 and -5.\nAnswer: -95.270415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -4. Let n be 20\/3 + j\/(-6). Suppose 0*m + n = m. Calculate the highest common factor of 35 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/175992 and 109\/1495932.\nAnswer: 2991864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 462.29 - 460. Let p = z + -7.29. Which is the second biggest value? (a) p (b) -3\/5 (c) -4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -6 - (-14 + (-5 - (4 + -11)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnan when four letters picked without replacement from {h: 3, n: 3, a: 2}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5577, 5579, 5593, 5625, 5681, 5767?\n\"Answer: s**3 - 5*s + 5581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 5*h + 56, -5*h + 124 = -2*a + 162 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 3)*3\/2. Suppose 5*x = -9 + 39. What is the remainder when 2*(t - -2)*-8 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001010 (base 2) in base 4?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 4*r**3 - 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503881557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -23*n - 25. Calculate the least common multiple of l(-2) and 2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)\/(sqrt(11) + sqrt(33)\/sqrt(3) - sqrt(11)))\/(sqrt(63)*3).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580583612.\nAnswer: 2, 7, 547, 37907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.0881 + -27. Let b = g + -0.0081. Put 3\/4, b, 0.2 in ascending order.\nAnswer: b, 0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295 + 906. Let h = p - 569. Is -4 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10249*x**3 + 351*x - 3*x**2 + 60 - 78 + 21 wrt x.\nAnswer: 61494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/12 and -31\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*p**2 + 12*p**2 - 71*p**2)*(p**3 + p - 3*p**3 + p**3).\nAnswer: 74*p**5 - 74*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((-2*sqrt(1900) - sqrt(1900)) + -3 + sqrt(1900) - sqrt(1900) - sqrt(1900)) + 2 + 2*sqrt(1900) + -4))**2.\nAnswer: 800*sqrt(19) + 30500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.06999837 + -1.07. What is r rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13\/16 (b) 0.6 (c) -3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-12)\/(-15))\/(-20 - 2079\/(-105))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/10 - (-4)\/(-20). Suppose -3*v - 15 = 0, -3*y - 216 = 4*v - v. Let i = y - -333\/5. Which is the second smallest value? (a) q (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2747 + -2724. What is the highest common divisor of 5405 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 10 = -t, 2181*t - 2176*t + 4 = -2*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 31*o**2 + 30*o + 73. Let u be d(32). Suppose 0 = 5*c - u*c + 212. What is the remainder when c is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 9*z - 15. Let a be u(-4). Suppose 22 - 7 = a*o. Does 7 divide 1\/((-796)\/266 + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 y when three letters picked without replacement from wzygyyyyykkgk.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10)*25\/5. Differentiate -24*d**t - 29*d**2 + 14*d**2 + 5*d**2 + 30 with respect to d.\nAnswer: -68*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.2 (c) -356 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/9)\/((-90)\/216). What is the first derivative of 0*a**2 + 100 - 3*a**3 - 5036*a**4 + 5064*a**n + 0*a**2 wrt a?\nAnswer: 112*a**3 - 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7832, -31157, -70030, -124451, -194420, -279937, -381002?\nAnswer: -497615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 19 = -18*r + 19*r, o - 2*r - 7 = 0. What is the second derivative of -433 - 4*t + 5*t + o*t**2 + 431 + 36*t**2 wrt t?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msrmrrmr. Give prob of sequence mr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7832979 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2249 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/15)\/(2\/40). Let c be ((-412)\/u + 1)\/((-2)\/(-3)). Put 3, 1, c in increasing order.\nAnswer: 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by 2535425\nAnswer: 58\/2535425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166500 by -74.\nAnswer: -2250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92015821 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/4*24\/9. Let k be (-64)\/r - 4\/(-6). Solve x = 5*d - k - 9, 0 = -2*x - 2*d - 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*f + 57088 - 51172 = 0 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 2. Let y(i) = -2*i + 3. Let a(f) = -f - 2. Let l be a(-2). Let x = -4 + l. Let w(j) = x*d(j) - 3*y(j). What is the derivative of w(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 141 - 48 = 0. Find the common denominator of d\/(-60) - ((-2)\/1 - -3) and 103\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -45. Solve 12*k = 9*k - b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 12:21 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 461 - 461 + 140*l**2 to g + y*l**2 + x*l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2766\nAnswer: -2\/1383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17.1426, -2\/3, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((2 + -2)\/3)\/2. Suppose 3*h - 12 = -j. Suppose -z - 18 = -h*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*x + 2*x. Suppose 0 = -3*l + 3 + x. Solve -z - 4*q = 4 + 20, 5*q + 33 = -l*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003008628755 to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -21, -4, 4, 11043 in descending order.\nAnswer: 11043, 4, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 309.7? (a) 4\/7 (b) 0 (c) 7 (d) -2\/5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 9*x + 3. Let u be l(7). Let h(n) = 44*n**2 + 2*n - 2. Let o be h(-2). Calculate the highest common divisor of u and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4946*s - 39672 = 2435*s + 2454*s. Let i = 61 + -37. Calculate the greatest common factor of i and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*j + 9. Suppose l - 6*l - o + 29 = 0, 3 = l + j*o. Which is greater: 5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 3*a**2 - 5*a - 4. Let y be v(-2). Suppose -y*j = 4*h - j + 37, 5*h = 3*j - 42. Let r be 16\/(-5)*20\/8. Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0511783869 + -15.0511782969. Let o = -15 - q. What is o rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 140 = -33*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, g: 11, y: 4, d: 1, u: 1}. Give prob of sequence xuxd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 63.79144 weeks?\nAnswer: 38581062912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 155786 (base 10) to base 11\nAnswer: a7054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23045 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61950 is divided by 8841.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**2 + 28*x + 11. Let i be b(-7). Let d = 222 - i. Suppose -z - 30 = -4*z. What is the greatest common divisor of z and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 33 = -4*i + 2, 3*t + 4*i + 25 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**5\/20 + 5*l**4\/12 - l**3\/6 + l**2\/2 + l. Calculate v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*q = -9, 0*q - 4*q = 2*f + 26. Let w = f - -6. Suppose -2*v + 14 = 2*l, 5*l = -0*v - w*v + 25. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -6 - 23) + 0. Let h = 38 + a. What is the third derivative of -3*d**2 + h*d**4 - 10*d**2 + 3*d**2 wrt d?\nAnswer: 264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*a + 91061 = 3495*a + 29582 - 56967 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = f - 8, 0*l = 5*f + l - 24. Suppose 4*o + o = f. Do 1\/14 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -24*((-220)\/8)\/(-5). Let k = -55 - l. Let p be (-230)\/(-20) + (-2)\/4. What is the greatest common factor of k and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124\/41 + -950\/287. Let q = -5 - -8. Which is the closest to 0? (a) q (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7053798 by -5179.\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)*s**(-8\/3)\/s*s)**(9\/13) assuming s is positive.\nAnswer: s**(-105\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-430)\/(-5676)*672\/(-280)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 14*d**2 + 14*d + 10. What is f(15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2\/6 - 55*j\/3 = 0. Calculate j.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/23 - 30410*o**2\/23 - 303950*o\/23 - 759750\/23 = 0. Calculate o.\nAnswer: -15195, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, -275, -574, -877, -1184, -1495?\n\"Answer: -2*c**2 - 289*c + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/11? (a) -3 (b) -2\/113 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -377 - -531331892265?\nAnswer: 531331891888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -14. Suppose b - 1 + u = 0. Sort 0, 3, 2, b in decreasing order.\nAnswer: 3, 2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 4. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*n - 8*j, -2*n + j - 4*j - 7 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 417916437 from 0.3.\nAnswer: -417916436.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35392168 and 4.\nAnswer: 141568672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 126\/4*((-4)\/14 - 1652\/(-294)). Calculate the greatest common divisor of g and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4780 and -2012.\nAnswer: -6792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-274126)\/(-36773))\/((-1)\/(22\/(-4))).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - (3 + (-5 - -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128761032 and 20?\nAnswer: 643805160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 5*m**2 + 2*m + 6. Let n be u(-4). Suppose 0*q = 5*l - q - 352, -3*l = -5*q - 220. What is the highest common divisor of l and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.2 - 13. What is the second smallest value in -1\/4, -0.3, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 23. Let v be 0\/l*5\/20. Solve -4*k - k - 1 = 3*u, v = k - 2*u - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/185352 and -197\/36143640.\nAnswer: 36143640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 - 19 = 0. Suppose 13*x = 6*x + 35. Let -x*k**3 + 5*k**3 + 2*k**3 - k**p = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:49 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/3 + (-2)\/(-6). Let l be 6\/12 + 5\/2. Differentiate 11*z**3 + 11 - l*z**y - z**3 with respect to z.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jocjiie?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 3 (c) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1612835 and 3920?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115 - 255. Is (9\/(90\/4))\/((-2)\/l) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 539*b - 3777. Let v be k(7). Suppose -5*f + 4*c = -45, -3*f + c + 7 = -13. Put f, -2\/7, v in ascending order.\nAnswer: v, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = 9 - 18 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -8 + 121 + 6 - (8 + -10 - -16).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/11 + 10\/(-55). Let t be ((1 + -1)\/(-3))\/o. Solve 5*p + t*p = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**2\/2 + 28. Let s(d) = -8*d. Let a(p) = p. Let m(x) = -24*a(x) - 2*s(x). Give m(o(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17.3, -1\/4, -5, -400, 0.3?\nAnswer: -400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*v**3 + 20*v**3 + 8*v**3 - v**3 + 3*v - 3*v + v**3 + 0 + 0 + (-3*v**2 + v**2 + 3*v**2)*(3*v - v - v) - 2*v**2 + 2*v**2 + 2*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*5\/42*(-44)\/(-55).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 1:20 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 79.7 times 5\nAnswer: 398.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azak when four letters picked without replacement from {a: 4, z: 2, k: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from axllllllxellxcxlelxk?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 106144821 a multiple of 1382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -220146.352 rounded to the nearest 1000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*x**3 + 9*x**3 + 27*x**3 + 3 - 8*x**3.\nAnswer: 84*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.5 + 42. Let f = 1 - -1. What is the second smallest value in f, p, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488 divided by -8.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -303*t**2 + t**2 - 119*t**2 to j*t + p + r*t**2 and give r.\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6701.451l in millilitres?\nAnswer: 6701451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = o + 5*g - 6, 4*g = 12. Suppose -5 = -0*k - 5*k. Sort -5, k, -4, o in descending order.\nAnswer: o, k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1747 - 1747 - 25541*b.\nAnswer: -25541*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -14.7. Let p = 0.5 + a. Let y = 0.04 + p. Round y to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 238, 476, 714?\n\"Answer: 238*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 28. Suppose 10*k - 5*k = 4*s + o, s - 3*k + 9 = 0. Suppose s*m = -0*m + 78. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 312.9423645.\nAnswer: -313.3423645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116638950.\nAnswer: 2, 5, 7, 157, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 16740*t + 769856. What is c(-46)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y + 4. Suppose -5 = -3*u + 16. Is c(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 + 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let h be ((-190)\/25 - -8)*(-14)\/(-4). Which is greater: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/4 (c) 2 (d) 7\/44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11862*l + 11369*l + 0 - 2*l**3 + 3 + 7 in the form m + a*l**3 + h*l + x*l**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 89250 = -4*i + 6*i. What are the prime factors of i?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 5 - 3)*(b**4 - 6*b**4 + 4*b**4) as r*b**2 + c*b**3 + p*b + w + j*b**4 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/((-7161)\/(-2852))*(-3 - (-15)\/10).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/36)\/(-3*2\/3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16\/737, 50, -0.2 in decreasing order.\nAnswer: 50, 16\/737, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/6)\/((-8)\/72). Let x(c) be the second derivative of 3*c - 1\/20*c**5 - 7\/6*c**3 - 7\/12*c**4 + 0 - 3*c**2. Calculate x(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33732 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-246)\/(-41))\/(12\/32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 x when three letters picked without replacement from {d: 1, z: 3, n: 4, x: 8, u: 3}.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10*k**2. Let o(f) be the third derivative of f**6\/720 - 47*f**4\/8 + 2*f**2 + 167*f. Let p(r) be the second derivative of o(r). Determine p(b(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 224\/(-12)*(-6)\/4. Let p be 8\/g + 38\/14. Suppose v + 0*v = 5*a - 23, -p*v = -4*a + 14. Solve -5*u + 15 = -a*d - 10, -5*d - 19 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 13571852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 2 + (569 - 512)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(17) + 0 - sqrt(17)))**2 - sqrt(17) - (sqrt(85)\/(sqrt(5) + -2*sqrt(5)) + sqrt(17)) - (1*sqrt(17) + -5)*4.\nAnswer: -5*sqrt(17) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssxxsxxssssxsss. Give prob of picking 4 s.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 13) in base 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1\/3, 3\/35, -0.5, -5 in descending order.\nAnswer: 3\/35, -1\/3, -0.5, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 17. Let u(k) = -2*k**2 + 20*k - 26. Let l be u(t). Let m(p) = -3*p + 12. Determine m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p + p + 5*p + (2*p + 0 + 0)*(4 - 6 + 3) + 5 + 4*p - 10 + p.\nAnswer: 8*p - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 241.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/60 + b**4\/6 - b**3\/2 + 9*b. Let f(k) = 0. What is k?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 + (-8)\/5*1. Is (1 + -6 + -27)\/(p - -1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 12 - 4. Is (-3786)\/(-9)*6\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by (5\/(-15))\/((-3)\/162)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215 + 1466*v + 9402*v**2 - 1460*v + 31 wrt v?\nAnswer: 18804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 - x + 1. Suppose -8*a - 23 = 1. Let i(n) be the first derivative of 2*n**2 + 13*n + 4. Let h be i(a). Give k(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*u - 2, -2*q - 3*u = -2*u - 6. Suppose q*x = 2 - 0. Let t(n) = -2*n**2 - 1 + 4*n**2 + x. Let h(d) = -4*d**2. Give t(h(l)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 15*x - 2. Suppose 153 = 33*b - 27 + 48. Let v(a) = 16*a - 3. What is b*n(q) - 3*v(q)?\nAnswer: 12*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18668312*3.\nAnswer: -56004936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 525 = -7*d. Suppose d = 12*o - 15. Sort -2, o, 1 in descending order.\nAnswer: o, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102047 (base 8) in base 9?\nAnswer: 51360","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -12*q - 392. Give n(-39).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a - -8?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 18 = -3*o, -p - o = -2*o. Let b = 15 + -11. Suppose 0 = -b*h + 5 + p. Solve 2*r = -h*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2214 - -2214.565. What is w rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -592 - -591.999999499. Round u to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Let t = -17 - -7. Let o = 9.9 + t. Is q less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - 10*k + 28. Let c be j(8). Let b = c - 137. Solve -o = -b*o + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3001\/4 + -758. Let d = -13979545\/3673476 + -2\/102041. Find the common denominator of o and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -139, -5, -82 in decreasing order.\nAnswer: -3, -5, -82, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9212 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -2) + (-16 - -18). Solve h*c + 5 = -11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57063, 57051, 57013, 56937, 56811, 56623, 56361?\n\"Answer: -2*q**3 - q**2 + 5*q + 57061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 18373*w + 2609005. Calculate c(-142).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 1:39 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7710827 divided by -29.\nAnswer: 7710827\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqc when three letters picked without replacement from {c: 11, q: 3}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 113b9b - -19?\nAnswer: 113bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(30\/(-9)))\/12. What is the second biggest value in 0, i, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose -3*h - 8 = -5*b, 0 = b - 3*h + 2*h. Suppose 3*j + 5*k + 11 - 3 = 0, c = 2*j + b*k + 8. Solve -y - j*o + 16 = -5*y, -y = o + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 12) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 + 809 - 5*p**2 + 1222 + 14*p**2 - 3*p**2 + 81*p. Let j(o) = -3*o + 2. Let r(z) = 3*j(z) - u(z). Factor r(h).\nAnswer: -(h + 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-5 - (14 - 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-42)*(-18 - 1653\/(-114)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 955 - 953. Let 2\/3*s + 2\/9*s**4 + 2\/9*s**f - 4\/9 - 2\/3*s**3 = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -138.3 and -14.8?\nAnswer: 2046.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, z: 1, k: 1, t: 1}. What is prob of picking 1 t and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 = w - 5, -r = 2*w + 6. Let m(u) = 3*u - 6. Let d(t) = t - 2. Let z(v) = 8*d(v) - 3*m(v). What is z(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*w + 6047 = 4334 - 13071 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1617 and 605297.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 159488, 637912, 1435282, 2551598, 3986860, 5741068?\n\"Answer: 159473*s**2 + 5*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(18) + (0 + sqrt(18) - sqrt(18))).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -160789+-1.05071686\nAnswer: -160790.05071686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 3*p - 7. Suppose 0 = -5*b - 5*a - p, 5*a = -2*b + 3*b - 23. Let r = -12 - -11. What is the nearest to r in 0.5, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-3) + 4 + -2. Suppose o = -0*o + 4. Suppose 3*r - q*r = -a + 11, -o*a = -5*r - 17. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-4 + 5)) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blbb when four letters picked without replacement from {b: 4, l: 1, g: 2, a: 8}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 12*d**2 - 1. Let k be b(12). Let q be (-1)\/1 - k*7. Solve 2*s - q*s - 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(55*i - 118*i + 35*i + (-i + 0*i + 2*i)*(70 + 84 - 61)) as j + u*i and give u.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-9)\/(-6)*(11 - 9)). Is ((-7)\/(-21))\/((i\/1011)\/(-1)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 - 0.23. Let g = 3.89 - t. Let q = g - 4.1. What is the nearest to q in 1, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -2)\/(-2 - 1). Suppose 10 = -4*k - k. Let x be (10\/4)\/((-1)\/k). Which is the third smallest value? (a) -2\/19 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 82? (a) 1\/5 (b) -5 (c) 2\/13 (d) 3 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-4)*i*i**(5\/6)\/i)\/((i*i**(-2\/7)*i)\/(i\/(i\/(i*i**10*i*i*i))*i*i*i*i)))**(35\/3) assuming i is positive.\nAnswer: i**(4645\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*w + 42, -2*w = 3*c + 3*w - 121. Let y = -254 + 226. Let z = y + c. What is the closest to 1 in z, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 6*v**2 - 5*v + 7. Let s = -3 - 3. Does 11 divide c(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 10:17 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*b + 7, -5*s + 0*s - 4*b = -13. Suppose 2*w = -0*w - 5*d + 51, 180 = 5*w - s*d. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - k + 1080 = 0, -360 = -b + 22*k - 19*k. Does 30 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/25 - (-11838)\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**9\/504 - 19*j**8\/336 + 433*j**5\/60 + 727*j**2. Find the third derivative of c(f) wrt f.\nAnswer: 120*f**3 - 1140*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-9370.46.\nAnswer: -103075.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3029666*s**3 - 3029665*s**3 - 249*s**2 - 13 + 0 in the form p + i*s**3 + b*s + u*s**2 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 2*sqrt(72)*-2 + 5 + 2 + sqrt(72) + sqrt(72) + -3 + -1*sqrt(72) + sqrt(72))**2.\nAnswer: -48*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 9*a + 36, -30*y + 5*a = -28*y - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 + j - j)*(10*j - 2*j + 5*j) + (5*j**2 - 5*j**2 + 2*j**2)*(-j - 3*j + 3*j) - j**3 - 2*j + 2*j to the form o + i*j + r*j**2 + x*j**3 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.02, 0 in ascending order.\nAnswer: -2, 0, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.109119 + -0.709234. Let u = f + -5.4. Round u to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5)\/(4*8\/80).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101010 + 1110101?\nAnswer: 110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 + 50*t**2 + t + 25. Let u be f(-25). Solve -2*y - 5 + 9 = u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*b = 10*z - 61, -4*z + 38 = -3*b. Suppose z*p + 12*p - 1610 = 0. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**4 - 13088*n**3 - 26156*n**2 + 13088*n + 26160 = 0 for n.\nAnswer: -3270, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + w**2 - 3*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1364, -1389, -1404, -1403, -1380, -1329?\nAnswer: -1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62216*k**5 + 1058*k**4 + 249570581*k**2.\nAnswer: 3732960*k**2 + 25392*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30674536 by 7668634.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (-72 - -28) - (0 + -44 + 0).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11436 - -11472. Let l be 2\/6 - (-119)\/3. Suppose 0 = l*r - u*r - 60. What is the remainder when 29 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 7:12 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 12}. Give prob of sequence zx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(200))\/(-3*-2*sqrt(3)))**2.\nAnswer: 1\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2 * -133.647.\nAnswer: 427.6704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396903 is divided by 198357.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/25 or -11\/5?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxx. Give prob of sequence kxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.656661 hours in microseconds?\nAnswer: 34763979600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-336 + 334)\/((4\/3 - 1)*(-678)\/(-2147)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/((-1296)\/18)*-15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/314578 + -1692212\/30356777. Let b = 1837\/4 + -354549\/772. Let d = w - b. Find the common denominator of 13\/6 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = 4*l - 166 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52661 is divided by 483.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 10:50 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 5, 5*r - 19 = -48*a + 52*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - y**2 - y + 1. Let s(i) = -2*i**3 - 4*i**2 - 4*i + 4. Calculate -4*j(k) + s(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 50 = 18*b, -3*y + 142*b - 144*b - 30 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781 is divided by 745?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -46. Suppose 1312 = o*p + 52. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (1 + 0)*3 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s - 5*s - 5*s)*(0*s**3 - 8*s**2 + 107815 + s**3 - 107811) to the form i*s + r*s**2 + v*s**4 + a + c*s**3 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*z - 4*a, -z - a + 227 = 223 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -175)\/(3\/2). Let k = 122 - v. Solve -k*a - w + 3*w = -4, -4*a + 32 = 5*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -17*x - 277. Let d(i) = -6*i - 92. What is 3*b(u) - 8*d(u)?\nAnswer: -3*u - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -t + 5*t. Let m = t - 9. Solve 4*d - 5 - m = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 - 3 + 0*i**2 + 2. Let r(b) = -4*b**2 - 1. Let y be ((-25)\/(-90) + (-24)\/(-108))*-6. Calculate y*p(v) + 2*r(v).\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155219735.\nAnswer: 5, 11, 797, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from ysxqsxpbqpyy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.01. Let x = f + 0.01. Is x > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71.62900107494 - 71.629. Round q to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 39 = -0*r. Let z = -9 - r. Find the second derivative of -l - 3*l**4 + 3*l + z*l**4 - 3*l**4 wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -3*v**2\/2 + 15. Let l(w) = -16*w. Determine h(l(k)).\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -397, -394, -391, -388, -385, -382?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2873 - 2872.9999993845. What is n rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 10*x**2 + 11*x + 20. Let g be d(-9). Suppose -g*k + 425 = -3*a, -a = 4*a + 5. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c52 (base 13) in base 5?\nAnswer: -201424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a - 32. Let h = -3 + a. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -10 - (3 - (-1 + 79 + -7 + 2))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10123012302 (base 4) to base 9\nAnswer: 2156606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 121*q**3 - 18 + 81*q**2 + 153*q**4 + 98*q**3 + 30*q**5 + 7*q - 14*q = 0. Calculate q.\nAnswer: -3, -1, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11685 - 11225 = -10*q. Sort -4, q, 22 in descending order.\nAnswer: 22, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5505055 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/30 - 826\/(-1470)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3 + 18970*j**2 - 18985*j - 37950 = 0. Calculate j.\nAnswer: -3795, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -750 - -756. Solve 2*r = -5*u + n*r + 12, 3*u - 5*r = 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -v - 8, -5*v - 5 = 3*y + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3426998 is divided by 5819.\nAnswer: 5426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46, -46, -44, -40, -34?\n\"Answer: m**2 - 3*m - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115.813 + 116. Let f = 0.113 + g. Is 0 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 111 = -5*h - 81, 46 = 5*p + 9*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 12, k: 2, q: 5}. Give prob of sequence qek.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6927569, -6927545, -6927475, -6927335, -6927101, -6926749, -6926255?\nAnswer: -6925595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.38 + -0.62. Let t = d + 7.8. What is the nearest to -3\/4 in t, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4349 + 6502. Suppose 0 = 15*o - 16*o + w. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/(-203) - 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1010202110202?\nAnswer: 1010202110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4420164 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1961 and 15587989.\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -590.51 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29991.\nAnswer: 3, 13, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u - 280*u + 2651 = 0 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133287784 and 290704.\nAnswer: 266575568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -140*0.3994\nAnswer: -55.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*p**2 - 1337716*p - 32868404?\nAnswer: 18*p - 1337716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58882787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a**2 + 11*a + 517*a**3 - 24*a**2 - 12*a.\nAnswer: 517*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*x**2 - 322*x**2 - 1086*x**2.\nAnswer: -1283*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2980*l - 5256*l = 2049*l + 146603 - 599143 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y**2 + 6*y + 2. Suppose 0 = -22*s - 21 - 1. Let f be r(s). Put 3, 4, f in descending order.\nAnswer: f, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 24*m**2 + 9*m - 9. Let y be u(1). Suppose 37 + 203 = 4*a. What is the greatest common divisor of y and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*n**3 + (-4*n**2 + 3*n**2 + 3*n**2)*(-3*n + n + 3*n) + (3*n**2 + n**2 - 3*n**2)*(-3 - 4*n + 3) - n**3 + 2*n**3 + n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**0)**(3\/7)*g**(2\/7)\/(g*g\/(g**(-7)*g)))\/(((g\/((g\/g**(-5))\/g))\/(g\/(g*g*g\/g**(-4\/5)*g*g)))\/(g**0\/(g*g*g\/g**8*g))) assuming g is positive.\nAnswer: g**(-143\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 224?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76600 is divided by 25181.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 68593 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 12*j - 52. Let y be h(-9). Let l(r) = 2*r - 10. Let v be l(9). Solve -2*z - y*z = -v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -2) + 2475\/1. Let m = r - 183375\/74. Let d = -133\/370 + m. Which is greater: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9545508 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 521035975 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 7*b**2 + 7*b + 10. Suppose -10*q + 5*q - 5*h - 45 = 0, 0 = -3*q - 2*h - 24. Let i be w(q). Solve -7*c = -i*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 19*z + 36. Let q be c(17). Is 37\/(-6)*-3*q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -226*h - 445. Let j be b(-2). Solve j*v - 31*v = 72 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*w + 4 = w, -5*w - 58 = -4*s. What is the highest common divisor of s and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 151276921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from {r: 2, o: 1, l: 2, p: 1, x: 7, u: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1352 and 352196?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-319)\/(-87) + (-2)\/(-6). Solve -a = k*a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 1\/8*a**4 - 2*a**2 + 0*a + 0*a**3 + 15. Let x(j) = -2*j. Determine y(x(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (20 + -1 + -8)) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (20\/6 - 2). Let n = 5160.4 - 5163.4. Let h = -0.1 + 0.1. Which is the biggest value? (a) h (b) 2 (c) n (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2774 divided by 3\nAnswer: -2774\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 32*l**2 + 187*l + 37. Calculate r(5).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 + 51649*p**2\/2 - 154933*p + 206572.\nAnswer: -(p - 51643)*(p - 4)*(p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w - 5*o + 9, -5*w + 2*o + 8 = 0. Let n = 69 - 49. Suppose w = -j + n. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2106824 is divided by 702271?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0, 424?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 48*c + 316. Give d(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -29) + 38 + -23 + -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.6 and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105385 and 22853490.\nAnswer: 159974430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w - 1608 + 4970 - 1603 - 1760.\nAnswer: 9*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*r = 0, 0 = i - 5*i - r + 9. What is the third derivative of -i*t**3 + 11*t**2 + t**5 + 2*t**3 - 6*t**2 wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 - v**2 + 1. Let o be a(1). What is the third biggest value in -18, o, -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 870 + 2088. Let r = v + -1843. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 524932464, 524932462, 524932460, 524932458, 524932456, 524932454?\n\"Answer: -2*g + 524932466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 + -2.6. Let x = 83\/2 - 417\/10. What is the fourth smallest value in 0, -3, l, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-3 - (-3 + 1)). Solve -3*i + 16 = -4*o, 0 = 5*i + 7*o - q*o - 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*w + 4*v + 16, 5*w = 2*v - 40. Let r(t) = -t**3 - 9*t**2 - 7*t + 11. Let y be r(w). Suppose 0*l = -y*l + 66. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 c when four letters picked without replacement from gnccnncgccgccncccc?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-8) + 9993\/12. Suppose -y = -10*d - 6*d. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 9:42 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((-2*sqrt(132))\/sqrt(11)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -239, 83017?\nAnswer: 83017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1462*v**2 + 369*v**2 + 376*v**2 + 2 + 352*v**2 + 363*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-17)\/(-3))*-6. Calculate the highest common divisor of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, o: 7}. What is prob of picking 2 s?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 9 = -3*t. Suppose 0 = -t*c + 3*z + 60, -4*c - 3*z + 6 = -15. Suppose -142 = -g - c. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 + -6233065?\nAnswer: -6233024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*h + 8 + 32, h + 10*w = -40. Calculate the highest common divisor of h and 2830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 8*v**2 + 15*v - 4. Let t be x(-5). Suppose -l - 27 = 2*k, -254 = 5*l - 4*k - 63. Let f be 21\/l - (-56)\/10. Put t, f, -9 in ascending order.\nAnswer: -9, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 2679067998.\nAnswer: -2679067998.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*b + 127*b + 2*b.\nAnswer: 104*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 267128979391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 842\/4 + (189\/14)\/(-9). Let o be (-7 - -5)*z\/(-2). Suppose 0 = -5*h + 3*x + 551, -2*h = -2*x - 3*x - o. Calculate the remainder when h is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13014, 12825, 12634, 12441, 12246?\nAnswer: 12049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.18 and 5522 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -54896481.42 rounded to the nearest 100000?\nAnswer: -54900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -4*q**5\/9 + q**4\/3 + 8*q**3\/27 - 93. Factor j(i).\nAnswer: -4*i**2*(i - 1)*(5*i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 15*h**2 - 32*h + 40. Let t be n(-17). Let p be 8\/36*(-1 + (-3)\/t). Let q = -7 + 1. Put p, -1\/5, q in increasing order.\nAnswer: q, p, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 409963879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p - 1 + 419*p + 1.\nAnswer: 432*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 20 + 70 + 133 + u + 29 in the form z*u + t and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 13 = 5*d, 4*d + 4 = -4*r - 0*d. Suppose 3*p - 2*t = 58, p + r*p - t = 53. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -133 (b) 5 (c) -5\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -w - w - 101, 3*x = w + 64. Let j = 53 + w. Let p be 7\/(-35) + -3*j\/330. Which is the nearest to -3? (a) 0.4 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -161*p**2 - 357*p + 119. Let m(u) = 4*u**2 + 9*u - 3. Let r(d) = -238*m(d) - 6*x(d). Let l(k) = -k + 13. Calculate l(r(s)).\nAnswer: -14*s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1878, 1870, 1862, 1854?\nAnswer: 1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -3\/5, -4\/5, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2445.8274 plus -0.4?\nAnswer: -2446.2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 13. What is o(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 22*v**2 - 23*v + 5. Determine z(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/5*20\/(-6). Suppose 80 = -0*b + d*b. Let r = b - 11. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k - 53. Let j be (26\/(-3))\/(0 + (-8)\/12). Is 17 a factor of v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.6 (b) 8\/7 (c) -1 (d) 0.2 (e) -7 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 0, 7*n - 5*n - 136171 = -5*v. Let q = v - 16206. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 23622, -2, -248, 0 in descending order.\nAnswer: 23622, 0, -2, -4, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 + 4871236*k\/11 - 253298864\/11.\nAnswer: -2*(k - 2435566)*(k - 52)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g + 32836 = -29*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 480 and 30576?\nAnswer: 305760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5955908 a multiple of 694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245502 divided by 414.\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1551 = -2029*l - 103957 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 - 2*m**2)*(-1 + 4 + 2) + (-2 + m + 2)*(3*m + 1 - 1).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12128)\/(-66))\/4*(-180)\/(-120). Suppose 2*g = 109 + 29. Let x = y - g. Put 0.4, 3, -8, x in decreasing order.\nAnswer: 3, 0.4, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/49)\/(-3))\/(15\/35)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(9\/((-72)\/(-16))). Let z be 12 + -223220 + (9 - t). What is z rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5842*g**3 + 1060 + 5844*g**3 - 165 in the form s*g**3 + i + v*g**2 + l*g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43.67 + 6.23. Let h = x + -58.64. What is h rounded to one decimal place?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 4, u: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcc when three letters picked without replacement from {h: 4, c: 16}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 8:29 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 17*a**4\/4 - 4*a**3\/3 - 7*a - 72. Let b(p) = 6*p**3 - p**2 - 2. Determine -7*b(m) + 2*j(m).\nAnswer: -8*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1 (b) 49 (c) 10.9 (d) -1 (e) 17 (f) -50\/7 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2 = 6. Suppose 0 = -2*c - 5*j + 18, c - 17*j = -22*j - f. Calculate the remainder when 69 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1905065 rounded to two decimal places?\nAnswer: 3.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 4. Let a(y) be the second derivative of 3*y**2\/2 - 2*y - 24. Let v = 2 - 1. Let g = -2 - v. Calculate g*a(i) - 2*w(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 6738936.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 5*j**2 + 5. Let d be r(5). Let p = 3 - d. Let h(a) = -2*a - 3. Let o(l) = -l. Let x(k) = -h(k) - 3*o(k). What is x(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -360, -1896, -4458, -8046?\n\"Answer: -513*k**2 + 3*k + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1304572789 to the nearest integer?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1768640 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4724, 4, -2 in ascending order.\nAnswer: -2, 4, 7, 4724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.126*0.02\nAnswer: 0.00252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = 36 - 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/10*-7*2. Let h be -2 + 1 - (2 + p). Suppose 2*x = 4*s - 2*x, -3*s = -2*x - 4. Solve 6 = 3*a, 0*a = -2*t - s*a + h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(800)*2) + 3.\nAnswer: sqrt(7)\/20 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -55.11 times -267\nAnswer: 14714.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -2\/3, -39, -5522, 4\/5, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 6) to base 10.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 9:34 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -273*n. Let p(a) = -19*a + 3 + 13*a + 9*a + 0*a. Give h(p(j)).\nAnswer: -819*j - 819","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3669.15 hours in days?\nAnswer: 152.88125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280\/285*(-1)\/((-6)\/9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**3\/3 - x**2 + 5*x + 19. Calculate v(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t. Let y be l(-5). Suppose 3*b = 5*w, -y*b + 3*w + 11 = -b. Suppose 3*g - 56 = -2*s, -b*s + 2 = -3. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 3*a = -28*t + 9058, 2*t + 5*a - 9050 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c6 + 8?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (1 - 0) + -3 + 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5930.94 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 10 - 107) + (6 - -8 - 7).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8\/f*f**(2\/7)\/f*f*f)\/(f**(-1))**(-1\/50) assuming f is positive.\nAnswer: f**(2893\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2144094*g**3 - 2144088*g**3 + 4288137*g**3.\nAnswer: -45*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.89 * 15599\nAnswer: -29482.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 54181, 108263, 162243, 216121?\n\"Answer: -51*f**2 + 54235*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*(-65)\/13.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -220207.5 rounded to the nearest one hundred?\nAnswer: -220200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 11298144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 0.02, -2, -4\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003160802 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*r**3 + 16*r**2 - r**2 - 599*r**3 + 660.\nAnswer: -367*r**3 + 15*r**2 + 660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 17. Let k be -4 - ((-15)\/v + -6). Suppose -w = -k*d - 28, 0*w - w + 4*d + 23 = 0. Solve w*r + 1 = 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) 1\/3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/10 - (-378)\/45 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 1:32 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5888.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 10:40 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131.774977826 - 125.7249767. Let l = -6.05 + h. Round l to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.172\nAnswer: -0.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011011101000110100 - -1?\nAnswer: 100011011101000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -53082 plus -22918?\nAnswer: -76000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40\/11 + 302\/77. Let o = -262 + 262.4. What is the biggest value in o, -0.4, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 3*h**2 - h + 3*h + 0*h as u + k*h + w*h**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 1. Let b be f(8). Suppose -15 = -3*v - o, 6*v - 15 = 3*v + 4*o. Solve v = -2*g + 3*j + b, -5*j - 5 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 215*r**3 - 990*r**2 - 1540*r - 760.\nAnswer: -5*(r + 1)*(r + 2)**2*(r + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1322*m + 7613 = 11878 + 10277 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3624685253 to the power of 1\/2, to the nearest integer?\nAnswer: 60205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + 1\/(-2). Let s be 4\/(-3)*36\/(-84). Are s and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10200102 - -201211?\nAnswer: -2221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 3) in base 2?\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 23.9. Suppose 15*m + 12 + 3 = 0. Which is smaller: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 33 + 121 = 0. What is the greatest common factor of n and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 64\/(-112) + 15\/(-28)*-2. Let l(k) be the first derivative of m*k**2 + 2 + k. Let o(g) = -4*g - 6. Calculate 6*l(j) + o(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 72813971 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -41019\/85 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 7) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -457724800 rounded to the nearest 1000000?\nAnswer: -458000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1238 - 571. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 50544.\nAnswer: 353808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*i**2 + 163*i**3 - 81*i**3 - 84*i**3 + 208*i - 206*i - 4 as p*i + s + r*i**3 + z*i**2 and give z.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 1, h: 1, c: 1, n: 1}. What is prob of picking 1 h and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003814 rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 74896360 rounded to the nearest one hundred thousand?\nAnswer: 74900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1975 + -1369. Let o be (4 - 1) + -218 + 6. Let x = p + o. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 12 = b. Suppose -b*h + 6 = -6*h. Calculate the remainder when -15*(-2 + 1\/h) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -27, 68, -3 in decreasing order.\nAnswer: 68, 3, -3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -1. Let u(s) = -4*s + 3. Let b be u(h). Suppose 0 = 2*z - 5*z + b. Solve r = -4*j - 17, -2*r + 21 = -z*j - 3*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.3. Which is greater: 9 or h?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/5 - 57*i**2\/5 - 1386*i\/5.\nAnswer: 3*i*(i - 33)*(i + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/7 (b) -2\/5 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -s + 2*s - 5, 15 = -4*y + 3*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 21. Let a be 3\/(-2)*(-16)\/r. What is the nearest to a in 0.2, -2\/5, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26434 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 6*y - 2*y)*(-1 + 0 + 0) + (-3*y + y + 0*y)*(-7 + 4 - 8) - 6*y - 19 + 19 as q*y + w and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -568, -34, 1 in descending order.\nAnswer: 5, 1, -34, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32116 and 6084246?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -286.38\nAnswer: -287.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x + 13*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 8:14 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 114 - 30 = 0. Let r = p - -20. Suppose 4*k - f = 204, -r*k - 2*f + 48 = -54. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) 5 (c) -0.085 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11 + k + 8 - 16 wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(2*sqrt(392) + sqrt(392) + sqrt(392)) - (-4 + 2*sqrt(448) - sqrt(448))**2.\nAnswer: -464 + 1793*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6.97. Let k = n - -0.03. What is the smallest value in 2\/3, k, 4\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**(-1\/4))*q**(-2\/5))\/(q*q**4*q*q*q**4*q))\/((q**(-1\/2))**(2\/5)*(q*(q\/(q\/q**(2\/3)))\/q)**30) assuming q is positive.\nAnswer: q**(-659\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 886*d + 3510. Give q(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*h + 32*h - 14*h)*((-4*h - 3*h + 5*h)*(2*h**2 - 3 + 3) + 9*h**3 - 3*h**3 + 2*h**3) to the form v + x*h**2 + y*h + k*h**3 + w*h**4 and give w.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7*m = -5*a + 30, -5*m - 3*a + 75 = 0. Suppose -3*q - 2*b - 15 = 3*b, -5*b = m. Solve q*f - 2 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -2*t**7\/105 + 4*t**6\/75 + 2*t**5\/25 - 4*t**4\/15 - 2*t**3\/15 + 4*t**2\/5 + 4*t. Let a(d) = 0. Calculate d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04997734847 rounded to four dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - 14*i + 2376 = -i. What is the highest common factor of 873 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01045962 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(63))**2.\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/5)*v**(-5\/3)*(v**(2\/53))**(-6))**(-17) assuming v is positive.\nAnswer: v**(41803\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4*x = 2*n + 22, -n + x + 5 = 0. Solve -2*g - n*b = -0*g, -6 = 2*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*c - 5, 4*p - 5*c + 4 = 10. Which is smaller: p or -2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 5:42 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7)*g**(-1)\/g)\/((g*g\/g**(-7))\/(g*((g*g**(-2\/9))\/g)\/g)))**(-17) assuming g is positive.\nAnswer: g**(11713\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 11906 = i, -a = -i - 0*i + 11902. Round i to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.07 - 0.93. Which is the second smallest value? (a) 0.03 (b) n (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 642 * -0.163.\nAnswer: -104.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 3*g - 5. What is b(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86.1 + 83.1. What is the second smallest value in -2\/7, -1, w, -2, 0.288?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y**3 - 237*y**2 + 6*y - 27. Is 19 a factor of z(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + f + 34 = 0, -f - f = -4*x - 52. Let n be (-1)\/(1\/(-18)*-2). Let v be x\/n*(-6)\/4. Let q(k) = k**2 + 3*k + 3. Calculate q(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42050 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2*10\/2400*-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 20 = -4*y, 2*m + 9 - 1 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*q = 2734, -m - 4*q = -3*m - 5482. Let r = m + 10891\/4. Find the common denominator of 43\/14 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21958651307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*x - 8*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384, 664, 1138, 1812, 2692, 3784, 5094, 6628?\nAnswer: 8392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20025 or 2\/133?\nAnswer: -20025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 3 + 3\/3. Let v = 3\/271 - 605\/5691. What is the nearest to v in y, 2\/3, -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-8\/9)\/((u\/(u\/u**6))\/u))**(3\/8))**9 assuming u is positive.\nAnswer: u**(-159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16325 or -16324?\nAnswer: -16325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183864 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 9*l + 17. Let o be 162\/(-42) - ((-13)\/7 + 3 + -2). Determine i(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 34*z**2 - 157*z - 82. What is m(-9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 816? (a) 2 (b) -1\/3 (c) 647 (d) 0 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-3*(-8)\/(-12))\/(-10)). Suppose 3*o - d = 3*n, 3*n + 2*o - 2 = 3. Which is bigger: n or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 5. Suppose 0 = 3*b - 4*v - 8, -12 = -16*b + 12*b + 5*v. Determine c(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = 2*w. Suppose w*z = 3*k + 22, 0*z = -5*z - 5*k - 10. Solve 0 = a + 3, 4*a + z = 4*x - 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(4455) - (sqrt(4455) + (sqrt(4455) + sqrt(4455)*1 - sqrt(4455)) + sqrt(4455)))\/(sqrt(1584) + 2*sqrt(1584)))**2.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108 - 101. Solve -2*s - k = -1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-15)*10*8\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3415?\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x + 190. Calculate the remainder when w(-27) is divided by 42.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4117\/1104 - ((2 - -3) + -3) and (1\/12)\/((-1)\/73)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 106283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 130 = 4*k + 5*i, 0 = -4*i - 8. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a*x**3 - 48*a*x**2 + a + 2*x**5 wrt x.\nAnswer: -78*a + 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -212440\/21 + 10118. Calculate the common denominator of a and -52\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 5353?\nAnswer: -5352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 277254519 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 - 2*b**3 - b**3)*(0 + 0 - 2*b) + 4*b**4 + b**4 - 3*b**4 + 4*b**4 + 3*b**4 - 5*b**4 + (3*b**2 - 3*b**2 - 2*b**3)*(0*b - 3*b + 2*b).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5077 is divided by 1266?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 + (28 - 6) + -28?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 101, 173, 245, 317?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36691387.\nAnswer: 36691387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, j: 1, u: 3, b: 3, r: 4, d: 1}. What is prob of picking 1 r and 1 j?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y**2 + 2*y - 1. Let l(f) = -f**2 + 38*f - 216. Let u be l(31). Calculate p(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**4 + 128*b**3 - 332*b**2 - 464*b = 0.\nAnswer: -1, 0, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1254 = -33*c - 0*c. Calculate the remainder when 135 is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3729 < 3579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 5050366?\nAnswer: 5050364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1411776 = 156*s - 285*s. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111022022 (base 3) to base 16\nAnswer: 72c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 12*s + 27. Is g(-11) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1798385\/2 or 899193?\nAnswer: 1798385\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 24512?\nAnswer: 24512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-3\/49)\/((s*s\/(s\/s**(1\/13)))\/(s**(-3\/2)\/s)) assuming s is positive.\nAnswer: s**(-4635\/1274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 12*v - 170. Suppose 3*x = 4*d + v, d - 12 = -2*x - 0*d. Let o(q) = q**2 - 5*q - 4. What is o(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 5*k**3\/3 + k**2\/2 + k + 1. Give w(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymjykhy. Give prob of sequence hk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 28 = -4*c - 4*w, -119 = -17*c + w. Let x(n) = 9*n**3 - n**2 - 2*n + 1. Let i be x(4). What is the highest common factor of i and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/8*(-100)\/6. Let y = 174 - 251. Let a be n\/11 + (-14)\/y. What is the highest common divisor of 77 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(33) - -6*(sqrt(33) - sqrt(66)\/sqrt(2)))\/(sqrt(66)\/(sqrt(6)*-1)) + -5)**2 + 2.\nAnswer: 20*sqrt(3) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**5\/5 + 2*a**4 + 21*a**3\/5 - 4*a**2\/5 - 28*a\/5 = 0.\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11996643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012 is divided by 504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1985 - -5.\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -1) + (0 - -9) + (-4 - -6) + 50?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, -0.4, 5\/3, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 1. Let h(b) = -3*b + 1. Let y be (8\/(-6))\/1*(-15)\/(-10). Let g = y - -4. Suppose -2 = g*w - 0. Determine w*h(o) + v(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1391, 7, -1068 in descending order.\nAnswer: 7, -1068, -1391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 64*f**3 - 2*f**2 + 36*f + 2. Let g(j) = -64*j**3 + 3*j**2 - 35*j - 2. Let v(t) = -2*g(t) - 3*n(t). What is the second derivative of v(k) wrt k?\nAnswer: -384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*c + 495. Is 23\/(c\/1260)*-1 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/18)\/((-2)\/24). Let j be 2 + 22 - 24\/r. Let z = 99 + -57. What is the highest common divisor of j and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 0, 30 in decreasing order.\nAnswer: 30, 0, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43115239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 13) to base 10.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 4:43 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 0.89 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -45. Let l be (-12)\/(-15)*(t + 61). What is the greatest common factor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 14 - -24 - (-11 + -1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 884 + -1767\/2. Let -3*s**4 + r*s + 4*s**2 - 1\/2*s**3 - 1 = 0. Calculate s.\nAnswer: -1, -2\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3*(-96)\/448.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*r - 21, d + 3 = -5*r - 4. Let t be 2 + 4 + (-6)\/3 + -2. Let b be 4\/(-6) - (t - (-14)\/(-3)). Sort d, b, 11.\nAnswer: b, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1033, -3093, -5153, -7213, -9273, -11333?\n\"Answer: -2060*i + 1027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 4*f**2 - 5. Suppose -h - 6 = 2*r + 3*h, 16 = -4*h. Let b = 5 + -9. Let n(i) = -3*i**3 - 5*i**2 - 6. Calculate b*n(x) + r*l(x).\nAnswer: 2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*i - 7*i. Let t(y) = y + 1. Let q be t(i). Suppose -4*l = 4*d - 35 - 57, -q*d + l + 82 = 0. Solve 6*k + 25 = k, 4*s - k - d = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**3 + 32*m**3 - 13*m**3 - 9*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022112211202 - -10?\nAnswer: -11022112211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005746 to five dps.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 238*q**2 - 933*q + 17. What is r(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/3)*f)\/f*f*f)**(-38)\/((f\/f**(5\/7))\/f**(4\/9))*f\/f**(1\/7)*f**4*(f**2*f)**27 assuming f is positive.\nAnswer: f**(-965\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*6*(sqrt(84) + sqrt(84)*-2 + sqrt(84))*-6)\/(sqrt(84)\/(sqrt(7) + -3*sqrt(7)) + sqrt(768)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34506 - 34441. Let i(z) = -15*z**3 + 2*z**2 + 1. What is the remainder when i(-2) is divided by s?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5623959 to the nearest 100000.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1611*c**3 + 2288*c**3 - 1293*c**3.\nAnswer: 2606*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 860099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(20\/6))\/(9\/42)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6*j - 11*j - j - j.\nAnswer: -7*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15 - -21) + -29 - (-1 - -4). Sort -22, b, 5 in increasing order.\nAnswer: -22, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/sqrt(3) + sqrt(15))\/sqrt(3) + 0 + -1*sqrt(5))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c76d (base 14) to base 2.\nAnswer: 1011100110011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/17? (a) 1137 (b) 4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 + 10.9. Let g = f - 8.5. Let m = g + -1. What is the closest to 3 in m, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 2*x + 0*x**2 + 0 + 1\/4*x**5 + 7\/12*x**4 + 1\/2*x**3 + 1\/30*x**6. Factor c(j).\nAnswer: j*(j + 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + i**2 + 108. Suppose v + a - 50 = 0, -26*v + 36*a + 701 = -21*v. What is the remainder when j(0) is divided by v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -32 + 29 + (556 - (1 + -2))?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 673.7052 weeks to nanoseconds.\nAnswer: 407456904960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4496257884 to the power of 1\/4, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**8\/448 - f**6\/90 + 5*f**4\/24 - f**2. Let i(s) be the second derivative of x(s). Find the second derivative of i(b) wrt b.\nAnswer: -90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 y when four letters picked without replacement from {m: 1, v: 4, y: 2, u: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {u: 4, d: 4, y: 8}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 886 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122012213 + 3?\nAnswer: 122012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hih when three letters picked without replacement from {h: 2, m: 8, x: 2, k: 2, i: 3}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-5)*-1*(-20)\/175*5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -ab4b055?\nAnswer: -ab4b054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y = 32*y + 136125 - 24121. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -1\/27*y**3 + 0 + 1\/54*y**4 - 1\/135*y**6 - y + 0*y**2 + 1\/90*y**5. Solve v(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvvvqvxxvivxvvvxvxqx. What is prob of sequence iv?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194558 or 194563?\nAnswer: 194563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 844 + 149 + 395 = 0 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2))\/(135435\/16930 - 8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 70 = 455. Let g be (-4050)\/(-42) - 15\/d. Calculate the greatest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + d - 505, 5*d - 696 = -5*c + 149. Suppose -6*f + c = -5*f. Let w = f + -78. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**7\/280 + 19*i**6\/180 - 73*i**5\/360 + i**4\/6 + 40*i**3 - 7. Let q(f) be the third derivative of o(f). Factor q(n).\nAnswer: -(n - 12)*(3*n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -60\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*b - 798 = 7*b + 2566 + 896 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, d: 11, i: 1}. Give prob of picking 2 d and 1 i.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**6\/10 + 9*x**5\/10 + 5*x**4\/4 + 7*x. What is v in l(v) = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3348439 is divided by 3286?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -5\/12*t**4 + 15*t - 25\/2*t**2 + 5*t**3 + 0. Factor h(k).\nAnswer: -5*(k - 5)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 1:33 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m + 40*m = -0*s + 4*s + 20, 0 = -4*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1053) + sqrt(1053) + 5)**2.\nAnswer: 180*sqrt(13) + 4237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9 = 2*g + 4*j, 2*j = 2. Suppose 3*x + 19 = -g*c - 2*x, 4*c + 8 = -4*x. Solve 0 = -2*h + c*w, 5*h - 21 = -3*w - 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k**2 - 2*k - 46. Let l(n) = 11*n**2 - 3*n - 47. Calculate 6*d(b) - 5*l(b).\nAnswer: -b**2 + 3*b - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brvvbvbvibbrbb. Give prob of picking 1 b and 1 i.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (211\/(-11605))\/((14\/20)\/7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 251908923 a multiple of 749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -39*d + 5. Let h(f) = -25*f + 180. Let m be h(7). Let g(u) = 136*u - 17. Calculate m*g(t) + 17*i(t).\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.22 and 27?\nAnswer: 25.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1922 and 13\/4.\nAnswer: 3844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-2142)\/(-84) - 5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4825 and -6?\nAnswer: -28950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29167 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y - 33. Calculate the remainder when f(14) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47196940 to the nearest 100000.\nAnswer: -47200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1078)\/6468)\/(5\/18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-1 - (-50)\/34))\/((-933)\/1244). Let y(j) = -14*j + 34. Let b(c) = 5*c - 11. Calculate m*b(v) + 6*y(v).\nAnswer: v + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6244652 or 6244754?\nAnswer: 6244652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, m: 9}. What is prob of picking 2 m and 2 g?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 76712877 to the power of 1\/3, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.5 at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -14 + 3*i + 32 - 24. Let l(u) = 6*u**2. Calculate m(l(d)).\nAnswer: 18*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1792*k + 721*k + 873*k = 9900 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 5)*(0 + 83*g - 1 - 3*g**3 - 85*g).\nAnswer: -21*g**3 - 14*g - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*p**4 + 6*p - 6*p)*(14 - 7 + 9) as t + h*p + c*p**4 + a*p**3 + f*p**2 and give c.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 102. Let x = -14 - s. Suppose -5*q = 3*y - 67, -2*q - 3 = -1. Calculate the greatest common divisor of x and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1377)\/(-9)*(-1)\/(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6063*y**3 + 250*y**2 - 2*y + 2 wrt y.\nAnswer: -36378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*n - 12. Suppose 0 = n*v - 2*j - 42, v - 2*v - j = -14. Let w = v - 0. What is the least common multiple of 8 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c. Let j(n) = -n - 21. Let d be j(c). Let f = -12 - d. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -493*d**5\/20 - 2*d**4\/3 - d**3\/3 + 5*d**2\/2 - 151*d. Let k be i(7). Round k to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/9)\/((-6)\/81). Suppose 0 = 5*g - w*g + 264. Let d = g + -29. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6863239l in millilitres?\nAnswer: 686.3239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2. Let u(s) = 6*s**2 - 2*s**2 + 6*s**2. Determine f(u(l)).\nAnswer: -100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257330062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/75)\/((-3234)\/(-1540))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 104. Let a = 58 + r. Suppose 4*j + 3 = a*l, 0*j + 9 = 3*j. Solve -3*y = l*q - 7*y - 27, y = -3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3067 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/2156, 0.7, -1, 4, -3, -2, 0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30078*n**2*y**2 + 4*n**2*y + 2483*n**2 - 3*n + 9*y**4 wrt y.\nAnswer: 60156*n**2 + 108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 462536 to the power of 1\/2, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i + 4552 = 4255 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226912?\nAnswer: 2, 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.230281 litres to millilitres.\nAnswer: 9230.281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 4, 17, 66, 169, 344, 609?\n\"Answer: 3*x**3 - 9*x**2 + x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 7*p + (-2*p - 3*p + 3*p)*(4 + 3 - 6))*(5 - 4 + 1)*(p + 5 - 5).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojollelokclcklolce. Give prob of picking 1 l and 3 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*j - 237, 4*n - 3*j + 225 + 93 = 0. Let m = n - -129. Does 30 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + 3*r**4 - r**4)*(16*r - 35*r + 3*r - 3*r - 3*r + 4*r + 4*r - 2*r + r + r - r - 2*r + (-4 + 1 + 1)*(-r + 3 - 3) - 1 + 1 + r).\nAnswer: -28*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1216) - (sqrt(1216) + (sqrt(1216) - (sqrt(1216)*-1 + -1)))) + sqrt(1216)*1*3))**2.\nAnswer: -16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1831801473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64217 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 16*x**2 - 17*x + 20. Let t be c(15). Let m(j) = j**2 + 13*j + 4. Let n be m(t). Let y = n + 181. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r**2 + 28*r - 8*r**2 - 28*r.\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17\/((-1428)\/(-936)))\/((-9)\/(-84)). Solve -s*h = -80*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.65 - -53.95. Let v = 49.300353 - k. Round v to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 456 = 19*f. Is 46 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*s = 12, -5*s - 3 = -4*s. Let t be (5 - 1)\/(-1 + 0). Let m = r + t. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/24)\/((-299)\/50 + 6) and -80\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2494273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24930 > 24318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188) + (sqrt(1188)*1 + sqrt(1188) - sqrt(1188)))\/(-2*sqrt(3)*-3) - ((sqrt(704)*-2)**2 - ((sqrt(33)\/sqrt(3))**2 + -5))*-3.\nAnswer: 2*sqrt(11) + 8430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-105)\/(-20) + 2\/(-8). Let n = 50 + s. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -604, 2\/259?\nAnswer: -604","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1536)\/(-160) + 12)\/4. Suppose -3\/5*z**3 + o - 3\/5*z**2 + 27\/5*z = 0. What is z?\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2912190 to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 19446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*c - 7. Calculate the remainder when 41 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0, -2\/29, 0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 6*b. Suppose 4*d - 1999980 = -j, -4*j + 4*d + 1673309 + 6326711 = b. What is j rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 109*f**3 + 3948*f**2 - 48640*f + 44800.\nAnswer: (f - 40)**2*(f - 28)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let p(g) = 2*g - 1. What is 2*p(m) + 5*t(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59405139 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 143, 100, 13, -130, -341, -632, -1015, -1502?\n\"Answer: -2*z**3 - 10*z**2 + z + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2082573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 1:25 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 107. Let g be w(0). Suppose 3*q - g - 7 = 0. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (3 - -5)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1672\/759 - 4\/6. Let i = n + -7847\/1380. What is the common denominator of i and -87\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 11*h + 8. Let w be b(-11). Suppose 14*l - w*l = 12. Suppose t + 3346 - 9587 = -4*u, 2*t = l*u - 3128. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5655)\/203 + 28)\/(2\/42). Let p(w) = -2*w**3 + 4*w**2 + 7*w - 3. Let j(r) = r**3 - 3*r**2 - 6*r + 2. Give b*p(f) + 4*j(f).\nAnswer: -2*f**3 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 8:34 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848483.\nAnswer: 19, 44657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 670 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**3 + 23*k. Let t(v) = 7*v**3 - 45*v. Determine 5*g(a) + 3*t(a).\nAnswer: a**3 - 20*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((10 - 15) + -11 + (-19 - -20) - -43)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 509296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**5 - 80*a**4 + 22307*a**3 + 68*a**2 - 1526628.\nAnswer: -120*a**2 - 1920*a + 133842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 395869, 74, 3 in increasing order.\nAnswer: 3, 74, 395869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0937749832 + -0.202.\nAnswer: -0.1082250168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 707.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 11) + (-1 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*y = -3*d + 57, -2*y - 150 = -2*d. Calculate the smallest common multiple of 8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -4788, -3.\nAnswer: -4788, -32, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42064602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -247*x**3\/2 - 5*x**2\/2 - 3*x + 52. Is a(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10202 (base 8) to base 12.\nAnswer: -2542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 1)*1 - -9. Suppose -4*b = -3*k + 2, 3*k + b + g = -0*b. Let x be 1\/(3\/(1 - k)). Which is bigger: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**3 + 51*i**2 + 48*i + 3. Let z be k(9). Calculate the highest common factor of z and 4928.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 6:52 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z - 2*z - 14 - 2*z. Let g be j(-13). Is 4 - 2*g\/2 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 4 (b) 2\/17 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2280 is divided by 52?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.14067 and 0.7?\nAnswer: 0.55933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*y - 123*y - 4*i + 16346 = 0, 3*y - 3*i = 24555. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 466*d**3*u**2 - 2*d**3*u - 9*d**2 - 5*d*u**2 + 4*d wrt d?\nAnswer: 2796*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41787 - -2d8?\nAnswer: 41a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 23 = -3*g, 0 = 5*u - 355*g + 360*g + 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 4*n**2 + n + 1. Give o(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 8*z + 10033. Is u(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21772 - -28777. List the prime factors of h.\nAnswer: 3, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 113*g + 11. Let j be r(-9). Calculate the highest common divisor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4107927.89997414 + -4107928. Let t = 0.1 + w. Round t to 6 dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 1. Suppose 2*f = -3*d - 5, -6*f + f + s = 3*d. Solve -5*z - 13 - f = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-275 + 273 + 114*c**2 - 39*c**2)*(0*c**3 + 0*c**3 - 3*c**3 + (-3*c + 2*c + 3*c)*(-4*c**2 + c**2 + c**2)).\nAnswer: -525*c**5 + 14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Let m = s + -2. Let n = 0.38 - -0.02. What is the third biggest value in m, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2126*j - 1045*j - 14*j**4 - 1082*j + 104 - 20*j**2 - 14*j**2 - 9 wrt j.\nAnswer: -168*j**2 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3123013 (base 4) to base 11\nAnswer: -a599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3445 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: What is 6588070 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 200*b - 29. Let h(l) = 233*l - 28. Let p(k) = 6*h(k) - 7*s(k). Determine p(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.016, -1372, 11\/9?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4708355 to the nearest 1000.\nAnswer: -4708000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v + 2. Let m(s) = -29*s - 10. Let k(h) = 2*m(h) + 10*t(h). Let n(a) = 322*a. Calculate k(n(z)).\nAnswer: 644*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12827 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + -5. Let o be m\/(-10)*(-410)\/(-4). Let v = o + -70. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 408 - 614. Let c = y + 204.02. What is c rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 693 = -5*c + 12*c. Calculate the highest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 + (-135)\/(-30))*(-620)\/(-14). What is the highest common divisor of r and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 12 + 12)*(-4*a + 3*a - 2*a)*(5 - 4 + 0).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5464 (base 10) to base 4.\nAnswer: -1111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1100)*-4*-6 + 0 - (-3 + sqrt(1100)*-1 + -3*sqrt(1100)*2))**2.\nAnswer: 1860*sqrt(11) + 1057109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let l(u) = 2*u**3 + 3*u**2 - 5*u + 6. Let f be l(-3). Let n be (3\/(-26))\/(f\/44) + -1. Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14 - -11)*(-2)\/6*4. Suppose 2*d = -0*j - h*j + 26, -3*d + 48 = 3*j. Let r(m) = m**2 - 4*m + 10. Is r(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2530 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 55\/(-15))\/(49\/210) + -70?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 170.5, -2\/15, 0.09 in descending order.\nAnswer: 170.5, 0.09, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -244, 14, 9 in descending order.\nAnswer: 14, 9, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.4 + -16.4. Which is the nearest to i? (a) -1 (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 81675 = 81547 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 217 and 96.\nAnswer: 20832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y = 21*y - 42*y + 144 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -10*y + 12. Suppose y*a - 12 = 3*b, 5*a - 2*b = 6 + 2. Solve 4*k + k - 10 = a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + f + 15, 0 = 208*v - 206*v - 2*f - 6. Let h = -100.3 - -107. Let j = -7 + h. What is the nearest to j in -0.4, 3, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4322862 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsu when three letters picked without replacement from {k: 3, e: 2, v: 3, s: 1, z: 1, u: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -9. Suppose 4*d + 11 = 3*x, r*d - 20 + 5 = -2*x. Suppose t - x*g - 2 = 0, 4*g = 2*t - 13 - 9. Calculate the remainder when 32 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 83.4, -3\/7, 26\/9, -4\/21?\nAnswer: 83.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.185*1.\nAnswer: 0.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppdprpqrpdrgpprq. What is prob of picking 2 p and 2 d?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 30*i + 63. Let g be (-7 - -1)*(-16)\/624. Let o = 0.1 + -0.3. Which is the second smallest value? (a) o (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 161 in -2.2, -2.1, 3\/11, 1, 0.4, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11743 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13767 = 314*f + 22245 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4779 divided by 3?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/7 - (-6)\/21. Let c be -1 + w + 8\/3. Which is bigger: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 4:54 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*j + 20, 4*j - p - 4 = -0*j. Suppose j = 6*o - 54. What is the remainder when 35 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0*h + 4*h**2 - 1\/6*h**3 - 1\/8*h**4 + 1\/120*h**6 - 1\/20*h**5 + 0. List the prime factors of y(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 759 - 756. Solve o*a = c - 4*c + 12, -a + 16 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**4\/5 + 1068*z**3\/5 - 12396*z**2 + 1170676*z\/5 - 1395264 = 0.\nAnswer: 13, 16, 43, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -18.88226\nAnswer: -1.888226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2\/15 + 318*l + 9532\/15 = 0.\nAnswer: -2383, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 66979\/5 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 11*k**2\/2 + k - 2. Let o(d) = -d - 13. Let f be o(-12). Give u(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143543 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -338*x**4 + 3*x**3 - 4 - x**2 - 5*x**3 + 339*x**4 - x in the form v*x**2 + y*x**4 + z + c*x + i*x**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, o: 4}. What is prob of sequence oodd?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -5a?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29814, 32202, 34590, 36978, 39366, 41754?\n\"Answer: 2388*o + 27426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 6, -8\/7, 3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.33 + 1.63. What is the biggest value in -5, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 14*w**2 - 141*w + 10. Let r be b(10). What is the nearest to 0.1 in -2\/17, 2, r, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 63*u**2 + 829*u - 130. Determine t(-74).\nAnswer: -1240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 6 = -z, -4*b + 51*z = 46*z + 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -32. Suppose -i*f - 2*s = -88, f + 4*s + 4 - 39 = 0. What is the remainder when 138 is divided by f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 5756582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v + 2. Let k(n) = 20*n - 3. Give k(t(x)).\nAnswer: 120*x + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -286 + 286.00143. What is w rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/7))**(1\/46)\/(f**(-1)\/f*f*f**5))\/(f**9\/(f\/f**(-2\/19)))**(1\/8) assuming f is positive.\nAnswer: f**(-60677\/12236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 12 = 3*r, 42*z = 46*z - 14*r + 56 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 c, and 2 k when four letters picked without replacement from {c: 3, g: 3, k: 2, a: 1, l: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5.733917 - 0.07\nAnswer: 5.663917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**2 - 3. Let g(y) = -8*y**2 - 23 - 21 + 66 + 15*y**2 - 18. Give 5*g(d) + 6*k(d).\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3671143*a - 10510. Let l(u) = -1048*u - 3. What is 10510*l(i) - 3*o(i)?\nAnswer: -1051*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(76)\/(-2*sqrt(4)))**2 + sqrt(19) + ((sqrt(57)\/sqrt(3))**2 + -2 - sqrt(19)))*-2 + (sqrt(19) + 0 + sqrt(19))*-4 + 1 + sqrt(2736).\nAnswer: -85\/2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 122743325 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 14*j**2 + 14*j - 14. Let p be n(-15). Suppose -s + 2*o = -6, 1 + p = -3*s - 4*o. Solve s*k - 5 = 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195190 (base 10) in base 12?\nAnswer: -94b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = 1. Let u be (-65)\/o*(-16)\/(-10). Let g = u + 162. Calculate the greatest common factor of g and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - 16*j**2 + 45*j - 13. What is v(3)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + 1678. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-84)\/26)\/((-106)\/689))\/33.\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 102, -6, 8, 3 in descending order.\nAnswer: 102, 8, 4, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-13 + -8) - (27 - 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/6674772 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37.1 + 36.7. What is the closest to -1 in j, 2, 2\/15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/37)*m)**(-7)\/(m**(7\/4)*m**(1\/4)) assuming m is positive.\nAnswer: m**(-319\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*sqrt(88)\/((sqrt(88)*-3)\/sqrt(11)) + sqrt(55)\/(sqrt(30)\/sqrt(6)*6)*-2))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 4. Let n(i) = -i - 1. Let f(d) = 39*d - 22. Let u(t) = r*n(t) - f(t). Is u(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s - 1 + 1)*(2 + 1 - 4) + 2502*s - 487 + 487 - 275*s in the form w*s + j and give w.\nAnswer: 2229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s**2 + s - 2. Let z be l(5). Let k(n) = -n**3 + 0*n - 3*n**2 + 7*n + 0*n**z - 3 + 1. Is 13 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - ((-25 - -44) + 25)) + (-7 + 0 - -2)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u**3 - 331*u**2 - 375*u + 170. Determine k(-32).\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -15*l + 21*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160895 is divided by 1986?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266651 and 28?\nAnswer: 1066604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -189, -215, -239, -261, -281, -299?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 3. Let a be 21\/(-12)*6*r. Let s = -17 + a. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/5)\/(5\/50). Suppose 5*n = -4*l + 181, 0*l - v*l = -4*n - 208. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -13. Let c(y) = y + 4. Let h be c(w). Is h\/(-36) - 2117\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -12*a**5 + 75*a**4 - 174*a**3 + 183*a**2 - 84*a + 12 = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 4, y: 3, a: 1, t: 4}. What is prob of sequence ut?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 380.\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26547259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 236 - 235. Let l(h) be the third derivative of h**4\/3 - h**3\/2 + 2*h**2. Let t be l(g). Solve -t*k - 6 = -4*v - 3*k, -3 = -v - k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gidcdgicppgk. What is prob of picking 1 i and 1 p?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -76507 > -535554\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18496.33 rounded to the nearest 10?\nAnswer: -18500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 = 3*j - 5*o, 3*j - o = -317 - 24. What is j rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -11. What is the remainder when 162 is divided by v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -30, -47?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33995 divided by 33995?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -553223 - 4*k**2 - 1331*k - 490948 + 6635*k - 453741 - 260364 = 0.\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271 - 244. Suppose -4*a - 552 = -z*a. Calculate the lowest common multiple of a and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/((-7)\/(-14)) + -5)\/(-6). Let x(l) be the third derivative of 4\/3*l**3 + 13*l**2 + r*l**4 + 0*l + 0 + 1\/15*l**5. Factor x(g).\nAnswer: 4*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -832 + 889. Calculate the smallest common multiple of b and 1.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -3 (c) 0.5 (d) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -480681, -19 in decreasing order.\nAnswer: -3, -19, -480681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14841203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-3) - 0 - 24\/(3600\/(-4150))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v + 2. Let a(h) = -4*h + 3. Let s(m) = 2*a(m) - 3*l(m). Let y(x) = 9*x. What is y(s(g))?\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1055 + 2514. List the prime factors of m.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1337*c = 1338*c + 9094, w + c = 9086. Calculate the highest common divisor of 180 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1000 - -13010\/13. Is t less than or equal to -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 2, w: 1, v: 2, a: 1, j: 1}. Give prob of sequence wj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 17*n**2 + 7*n + 12. Let b(m) = -m**3 - 16*m**2 - 8*m - 14. Calculate 5*b(x) + 6*j(x).\nAnswer: x**3 + 22*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 614709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 350963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**7\/1680 - s**6\/240 - s**5\/20 - 4*s**2. Let c(k) be the third derivative of p(k). Differentiate c(w) wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9439\/5 + 1888. Which is smaller: b or -10\/11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 38898 = 38898. Solve k = 513*c - 511*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a decade in months?\nAnswer: 1590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.63 - -43.63. Let n = u - 43.0092. Round n to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-14) - 144\/(-504). Let l be 5 + -8 - (-39)\/(-3). Let i = l + 33. Solve -2*w = d*b + b + i, -2*w - b = 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*(-28)\/56\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 2*j - 1)*(27*j - 24 + 7 + 14).\nAnswer: 54*j**2 - 33*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 + 2*c - 1. Let r be ((-1)\/3)\/(49\/441). Give d(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55946.4381 minutes in weeks?\nAnswer: 5.550241875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3.433124\nAnswer: -3.433124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 230+12438\nAnswer: 12668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.42 + 0.02. Let n = m - -0.9. Let a = 5.06 - 0.06. What is the nearest to 0 in a, n, 4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 24 + 26. Let g be (3\/(-2))\/((27\/b)\/(-9)). Let z(d) = d**2 + 3*d - 5. Let i(l) = -2*l + 2. Let m(c) = g*i(c) + 2*z(c). What is m(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71004442633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a - 113039386 = -418554386. Round a to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -6. Suppose -3*o = -2*r - 134, -3*r + w = -11. 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: Two letters picked without replacement from {p: 5, h: 5, z: 1}. What is prob of picking 2 p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 2*s + 0*s + ((-s - 4*s + 3*s)*(0 + 3 - 1) + 2*s + s - 2*s)*(-4 + 5 - 2) - 58*s + 40 - 40.\nAnswer: -54*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -5*n**7\/168 + 7*n**6\/120 - n**5\/40 - 41*n. Factor g(v).\nAnswer: -v**3*(v - 1)*(5*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -10*c**2 + 8*c - 25. Let z(x) = x**2 - x. Let p(u) = 10*u**2 - 8*u + 17. Let h(y) = -p(y) + 3*z(y). Let v(b) = 5*f(b) - 7*h(b). What is v(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 647, 665, 701, 761, 851?\n\"Answer: n**3 + 3*n**2 + 2*n + 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 9:33 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-4)\/(-80) + (-2)\/(-10))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -112 * 240.1.\nAnswer: -26891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -6) + 4 + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*a + 7. Let o(x) be the first derivative of -1 - 3\/7*x**a + 1\/7*x**4 + 4\/21*x**3 + 1\/21*x**6 + 2\/7*x - 6\/35*x**5. Factor o(s).\nAnswer: 2*(s - 1)**4*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**2 + 91*c**4 - 53*c**4 - 43*c**2 wrt c?\nAnswer: 912*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -24 - (-17 - (-8 + (4 - 12)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**3 - 141*d**2 - 21*d + 516. Calculate y(-47).\nAnswer: 1503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10520.66 and 906.\nAnswer: -9531717.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102999 is divided by 34183?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*a**4 + 56*a**4 + 5 - 10*a + 55*a**4 - 5*a as n*a**4 + u*a**2 + q*a**3 + b + p*a and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-16))\/(((-19)\/(-8))\/19). Suppose 7 = -5*h + 3*g, -5*h + 0*g - 5*g = -25. Which is greater: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 106*f = -101*f + 26, 0 = -2*c + 4*f + 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 31*f**2 + 2*f + 19. Let s(c) = c**3 - 17*c**2 - c - 10. Let x(v) = -6*l(v) - 11*s(v). Calculate x(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 8 - 5*h**2 - 17 as f + q*h + c*h**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10671 - 23?\nAnswer: -10704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -192*m**3 - 3*m**2 - m - 2. Let l be f(-2). Suppose 0 = 9*t + l + 492. Let w = -145 - t. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*l**5 + l**2 + 5*l + 88 wrt l.\nAnswer: -860*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**3\/12 + 3*t**2\/4 + 9*t\/4 + 6. What is h in c(h) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*r - 119 - 389 = 0. What is the smallest value in -0.5, r, -5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201117 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: Let x = 3121 - 2953. Let r(c) = -2*c**3 - 4*c - 3. Let v be r(-2). What is the greatest common factor of x and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w - 6 = 0. Let y = 2 + w. Put 3, -3, y in ascending order.\nAnswer: -3, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 6)*(2*g - 6 + 15 + 2).\nAnswer: -8*g - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231212 divided by -4.\nAnswer: 57803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*g**2 - 19*g**2 + 8*g**3)*(15*g - 3*g + 0*g).\nAnswer: 96*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4846 or 4853?\nAnswer: 4846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4165 - 2.\nAnswer: 4163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 26 = z. Solve -5*i + 4 = 2*t, -z*t - 2*i + 10 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 + 4416\/(-18))\/(2\/51900*-2). What is y rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6154.\nAnswer: 2, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1094 + 3127. What is the greatest common divisor of y and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -856263 divided by -285421.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1376 and 132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 1:39 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -71*m**2 + 2*m + 16. Let i(o) = -24*o**2 + o + 5. Let k(t) = 8*i(t) - 3*n(t). What is the second derivative of k(h) wrt h?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1612*t**2 - 1568*t**2 + 3228*t**2.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 3*z + 1. Suppose 24*f = 22*f + 4. Give i(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/6 - (0 + -1). What is the smallest value in r, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19086833 is divided by 4677.\nAnswer: 4673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54875 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.3 + 52.7. Let n = -57 + p. Which is the second biggest value? (a) -1 (b) -1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 9, 4, 260 in increasing order.\nAnswer: -3, 4, 5, 9, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -281, -1094, -2453, -4364, -6833?\n\"Answer: -x**3 - 267*x**2 - 5*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -6278344754728.\nAnswer: -6278344754727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-70)\/1)\/(10\/((-5)\/1)). Which is smaller: 34 or g?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5a + 353e9?\nAnswer: 3538f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.5. Let w = -3.1 + d. Let z = 2 - w. What is the closest to -0.1 in -2, z, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/65)\/((-81)\/(-810))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 5. Let n(o) = o - 4. Let k(w) = -6*n(w) + 5*p(w). Suppose -4*a - 2 = 6. Let l be k(a). Solve 0 = 3*g - 7*g - b + l, 2*b - 2 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**8\/84 - 2*y**7\/21 - y**6\/30 + y**5\/3 - 2*y**2 - 4. Determine b so that f(b) = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 988288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15767, -31555, -47357, -63179, -79027, -94907, -110825, -126787?\n\"Answer: -j**3 - j**2 - 15778*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) 0.106 (c) -0.062 (d) 9\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/14 - 352*q**3\/21 - 179*q**2\/7 + 708*q\/7 - 3101. Factor l(y).\nAnswer: 2*(y - 177)*(y - 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 4 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -79\/1018263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 101740604 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -279, -1202, -3409, -7542, -14243, -24154, -37917?\n\"Answer: -107*q**3 - 174*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*k - 79 = 0, 2*k + 91 + 4 = b. Suppose 0 = 2*l + 5*v - 147, -l - v - 15 = -b. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -4. Suppose -411*u + 406*u = 10. Sort -5, u, a in decreasing order.\nAnswer: a, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85988167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/((-12272)\/117)*12\/9)\/((-3)\/(-44)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**4 + 49620*h**3 - 644145*h**2 - 693770*h = 0?\nAnswer: -1, 0, 14, 9911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 + -77. What are the prime factors of ((-1668)\/24)\/(a\/2)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 14. Let s(d) be the second derivative of d**3\/6 + d. Let w be s(x). Solve 3*z + 3 = w*b, -b + 6*b - 3 = 3*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15684097 and 1001?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*6*(-3)\/4. Suppose 4*g = 7 + r. Solve 0 = -a + g*a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88985.64 kilometers in millimeters?\nAnswer: 88985640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1522 (base 6) to base 15\nAnswer: 1c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 60*k - 24. What is the tens digit of a(38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 1089?\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjsksajdssjjda. Give prob of sequence jktj.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 6*t + 2. Suppose 3*i + 2*i = 5. Let d be (-3*i)\/(27\/t). What is the second smallest value in d, 1, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 7, k: 7, n: 4}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24294 times -641\nAnswer: 15572454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347188 divided by -2993.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*4\/7*(-476)\/544?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -113145, -113288, -113431, -113574, -113717, -113860?\n\"Answer: -143*o - 113002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - b + 98 = 0, i - 4*b = -6*b - 89. Let q = i + 163. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367966 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i - 13. Let f(s) = 57*s - 6 + 20 - 62*s. Let x(h) = -4*f(h) - 5*r(h). What is the derivative of x(k) wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 8*r - 294. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -284*-0.0809\nAnswer: 22.9756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - (-106 - -116)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.5 + -16.72. Let c = 6.68 - w. What is c rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/60 + u**4\/8 - u**3\/2 - 68*u**2. Let g(s) = -6*s**3 - 7*s + 7. Let i(p) = -7*b(p) - 3*g(p). Solve i(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 6 + 1 + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4) + (4 - 1) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 1, 1\/654, 2\/23, -1\/6, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1008)*3)**2 + 2 + sqrt(1008))*1.\nAnswer: -45370 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from ixydv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.22779721 to three decimal places.\nAnswer: 5.228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 332, 302, 252, 182?\n\"Answer: -10*d**2 + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161257*q**3 + 6*q**2 - 4*q**2 - 161229*q**3.\nAnswer: 28*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -14. Suppose 25 = d*p + 10. Is 87\/4*(p - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1771*i*z**4 + 2*i*z**2 - 2*i*z + 8*i + 78*z**4 - 6*z**3 - z**2 - 3540*z + 4 wrt z?\nAnswer: -42504*i*z + 1872*z - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 131561 + 5?\nAnswer: 131566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j\/((j**(2\/11)\/j)\/j))**(1\/3)*(j*j**(-9)\/j*j**(-4))**(3\/17) assuming j is positive.\nAnswer: j**(-947\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3647\/182 + (21 - 25 - 14).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*f**4 - 14*f**3 + 12*f**2 - 5*f + 2153037 wrt f?\nAnswer: 84*f**3 - 42*f**2 + 24*f - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) -310 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -276?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 55.6. Let f = 0.4 - c. Let o = 6.1 - f. What is the third biggest value in 5, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, r: 8, n: 5}. Give prob of sequence rrn.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 790281?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -752. Let d = u - 687.0000287. Round d to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15095, 30172, 45249, 60326?\n\"Answer: 15077*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 3. Let p be h(5). Suppose -3*c = 3*z - 15, -z - p*c + 2 + 0 = 0. Let j(d) = -d**3 + 9*d**2 - 5*d + 9. Is j(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0398323 rounded to 5 decimal places?\nAnswer: 0.03983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120790 and 3290?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + -1)*-5 - sqrt(684)) + (1*sqrt(684))**2 + 5.\nAnswer: -36*sqrt(19) + 694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (0 - 8 - 1) + -15\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 25 = 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1170612, -1170593, -1170564, -1170525, -1170476, -1170417, -1170348?\nAnswer: -1170269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19498\/5 + -3900. Which is the second smallest value? (a) -4 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c. Let n(i) = -2*i + 20. Give n(l(t)).\nAnswer: -10*t + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05704805776 rounded to 3 dps?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 5. Suppose -5*x + 33 + 33 = -2*n, 2*n + 70 = 3*x. Let w = n - 24. Let j = -56 - w. Determine o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9404 or -9408?\nAnswer: -9408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, r: 13, y: 3}. What is prob of sequence yy?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 1 - 3\/4*h**4 + 0*h**3 + 0*h**2 - 2*h. What is the derivative of r(y) wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -3. Let v = -1 - -1. What is the closest to v in -2, n, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m + 3*m)*(8*m**2 + 0*m**2 + m**2) + (0 - m + 0)*(-2*m**2 + 3*m - 3*m) + 2 - m**3 - 2 in the form p*m**2 + k*m + t + s*m**3 and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 k when three letters picked without replacement from kklzxjkjkkkkjsszj.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20691720857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**2 + 3. Suppose 2*c + 2 = -4*p + 2*p, 2*p - 2*c = -10. Calculate the remainder when q(p) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 5. Let r(y) = 6*y + 15. Let u(x) = 17*d(x) + 6*r(x). What is the remainder when 44 is divided by u(9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3341 - 4142?\nAnswer: -7503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or -184?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 17*g**2 + 9*g + 41. Let x(z) = 6*z**2 + 3*z + 14. Let d(f) = 4*t(f) - 11*x(f). Is d(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + t**3 - 2*t**3 - 1. Let s be b(-1). Is 1\/4 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j + 119 = 431. Which is smaller: 18 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pff when three letters picked without replacement from {f: 5, p: 15}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 13370634?\nAnswer: 40111902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.453687 - 0.1.\nAnswer: 1.353687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/5 + 1512*w\/5 - 571536\/5 = 0?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.25 + -9. Let p = -0.04 - n. Let b = p + 1.2953. Round b to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:26 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 + 123*j**2 + 897*j - 1023 = 0 for j.\nAnswer: -31, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1037056 or 1037022?\nAnswer: 1037056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (0\/(-3) + -22). Suppose -22*t + r*t - 26 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**5\/60 - q**4\/8 - 7*q**3\/6 + 2*q**2. Let l(c) = c**2 - 2*c - 4. Give -5*l(n) + 3*x(n).\nAnswer: -2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 582865*b**2*s - 309514197*b**2 - 24*b*s + s wrt s?\nAnswer: 582865*b**2 - 24*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3) + 1 - (sqrt(192) + 0)) + -3 + -3 + 1 + 2*sqrt(3) + -4.\nAnswer: -5*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4*n + 2. Let u be q(4). Suppose -u*g + 3 = -3. Suppose -15 = -3*d, g*d = -a - d + 48. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 12*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 24, 1\/3, 0.05, -0.5 in decreasing order.\nAnswer: 24, 5, 1\/3, 0.05, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h. Let p(v) = -6. Let z(l) = -7. Let b(y) = 6*p(y) - 5*z(y). Let m(a) = a**2 + 9. Let d(w) = -18*b(w) - 2*m(w). What is g(d(s))?\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374784 is divided by 15615?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 0 + 4 + (sqrt(117) + 2)*-6 + -5)**2 + 1.\nAnswer: 390*sqrt(13) + 3095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:48 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (0 - 0)) + (-2625)\/(-1750)*32\/60?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 555.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**4\/24 + 5*x**3\/6 + x**2. Let f(p) = -p**2 + 2*p. Let k be f(2). Suppose k = 5*m - m - 20. Give t(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -4*c, -3*l = -c + 4 - 25. Suppose -28 = -5*h - l. Suppose 0 = -5*v + 16 + h. Solve 0 = -4*x - 4 - v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rdrddrrddrrd.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 179624164, 359248328, 538872492, 718496656, 898120820?\n\"Answer: 179624164*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4464 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 10*b - 5. Calculate the remainder when g(-4) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264\/(-18) + 11 - 29\/(-3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19546287 + -39462589. Let o be ((-12)\/(-21))\/((-4)\/m). Let p = o + -1445186. Round p to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 2*x - x**3 - 8 - 8*x**2 + 3*x - 4*x. Let k be c(-6). What is k rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2582)\/((-21)\/19 - -1). Let a = 44344 - 9315. Let n = f - a. What is n rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 3:45 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {e: 9, j: 3, p: 1, d: 4, w: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276 by -92.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53496.\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -3*s**5\/20 - 47*s**4\/4 - 31*s**3\/2 - 556*s**2. Factor q(z).\nAnswer: -3*(z + 31)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 4*w + 22. Does 18 divide q(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9407.102 minutes in microseconds?\nAnswer: 564426120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + t - 77, 2*a + 0*t = -3*t - 21. Let w be 464\/a - (-8)\/(-36). Let r = w + 28. Calculate the least common multiple of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((48\/(-14))\/(-2))\/((-12)\/(-471366)*43). Calculate the highest common factor of 58 and f.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 5, y: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.3. Let l = 3176 + -3180. Which is the closest to 2? (a) 3 (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, 489, 4.\nAnswer: -2, -1, 1, 4, 489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5434253 (base 6) to base 5.\nAnswer: -32103431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 11:24 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86379*y + 86404*y - 172752*y.\nAnswer: 31*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -142161404?\nAnswer: 142161400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75\/7 - -13\/28. What is the common denominator of ((-4)\/(-8))\/((15\/295)\/3) and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.84 + 0.16. Let s = p - 10.1. Round s to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odf when three letters picked without replacement from {d: 1, f: 1, j: 3, o: 4, w: 5}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -11603143 and -570.\nAnswer: -11603713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 1:48 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*j - 2 = 0, j = 2*z - 4*j + 2. Let u be (-10*2\/(-34740))\/(2\/(-6)). Is z >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, k: 1, c: 1, a: 2}. Give prob of sequence akcl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 37*y + 115. Let c(s) = 2*s**2. What is a(c(d))?\nAnswer: 74*d**2 + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 12) in base 11?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 3*s - 3. Let p be c(-4). Let h(j) = 9*j + 104. Let k be h(-11). Sort 3, p, k in decreasing order.\nAnswer: k, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.343 - -0.057. What is the closest to -0.3 in -2, j, 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27 or 24?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*(0 + sqrt(1053) + -3 - sqrt(1053)) - ((sqrt(1053) + 1)*-2 - -6*(1 + sqrt(1053)))))**2.\nAnswer: -20736*sqrt(13) + 608832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-11 + -7 - -8 - -6) + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 + 5.91. Let x = 0.5 + r. Let d = x + -6.565. Round d to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 55?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*d**2 - 5076*d**3 + 5079*d**3 - 11*d**2 - 1475*d wrt d?\nAnswer: 18*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b + 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03775 - 155.8?\nAnswer: -155.76225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 126063419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 5*k + 3. Let s = 0 + 2. Let b be 16\/(-10)*(5 + 0). Let u be (b\/4)\/(s\/5). Give n(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 - 9*f - 8. Let u be p(-1). Let w = 0.42 - 0.36. Let s = w - 0.36. What is the nearest to 2\/9 in 5, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8417*q**4 - 4*q**3 - 498426*q**2 wrt q.\nAnswer: -202008*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - -0.4. Let w = 1.15 - h. Let m = 8.55 - w. Round m to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = a + 6, i + 3*a - 11 = 0. Let b(c) = -c - 15. Let o be b(i). Let q(l) = -l**3 - 20*l**2 - 8*l + 1. Is q(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2. Let g(f) = -f - 12. Give y(g(j)).\nAnswer: 4*j**2 + 96*j + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by 107\nAnswer: -47\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*p + 0)*(47*p**3 + 17*p**3 - 8*p**3) + 2 - 74*p**2 + 2*p**4 + 77*p**2 - p**4.\nAnswer: -111*p**4 + 3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -289*d**3 - d. Let z(p) = -p**3 - 2*p**2 + 3*p - 1. Let f be z(0). What is the hundreds digit of v(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3)*-1*-6*-5 + ((-5 + 2*sqrt(3))**2 + sqrt(3))*2 + 3.\nAnswer: -8*sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3322)\/6)\/((-1484)\/(-12)) - -3. Let i = 5\/53 - s. Calculate the common denominator of i and 103\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -96, -193, -290, -387?\n\"Answer: -97*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -259 in 1, -1, 0.2, -293.5?\nAnswer: -293.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**5 - 55*i**4 - 230*i**3 - 450*i**2 - 405*i - 135 = 0 for i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24190384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*r - 37*r - 33 - 44*r - 2*r**3.\nAnswer: -2*r**3 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 12:42 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -1152, -2593, -4606, -7191?\nAnswer: -10348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a8 + 0?\nAnswer: -4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*q = -0 + 4, p - 12 = 5*q. Suppose 12 - p = 2*r. Suppose 0 = -2*u + g + 2, -r*g - 8 = -g. Which is bigger: 1\/4 or u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 129?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in seconds?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 973925 - 974121 = 14*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)*z**(2\/15) assuming z is positive.\nAnswer: z**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-11 - (17 - 45)) - -21 - (0 + -23)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11775.5 + -403071?\nAnswer: -414846.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 3. Let r be 6\/((-2 + -1)\/s). Let y = -4 + r. Is 1 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6 - m + 0*m - 6. Let x = 53 + -51. Let r(t) = -4*t**x + 4*t**2 + 5*t**2 + 0*t**2. Calculate r(n(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 434435380 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0159913499 rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32 - 26 - 20*p + 20 - 1 wrt p?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.1. Let v = -0.2 - 0.7. Let h = -1.9 - v. Which is the closest to -1\/3? (a) -0.2 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*q - 17*q + 16368 = 0. Calculate the remainder when 921 is divided by q.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-1 + 1) - (100 + -226 + 190).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -839*b - 18. Let q(i) = 1055462*i + 22653. Calculate -2517*g(a) - 2*q(a).\nAnswer: 839*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26632480 divided by -3397\nAnswer: 7840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 7*d + 2*d to the form h + t*d and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 + m**2 + m + 3. Let z = 7 + -6. Let o(g) = g**3 + g**2 + g + 1. Calculate z*c(i) - o(i).\nAnswer: 2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*z + 10, 33*t + 4 = 28*t - 3*z. Are t and -21\/62 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**21\/((z\/(z\/(z**15\/z*z))*z)\/z)*z*z\/((z\/z**(-1\/9))\/z*z*z)*z*z*z*z**(-11\/3)*z assuming z is positive.\nAnswer: z**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -61*b - 5. Let d be r(3). Let h = -192 - d. Is h greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**5 - 7245*d**2 + 7*d + 1967.\nAnswer: 40*d**3 - 14490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 864616169*k**2 - 55185993*k - 5?\nAnswer: 1729232338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6506?\nAnswer: 2, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37371 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/(-18) + 9 - 2\/(-3))*18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12)*1*-1*(-5430)\/(-2172)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 - 181 = -4*c + 112 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -3. Let s be (f\/3)\/(2\/3). Let r = s - -3. Solve 2*t - 2 = -r*k, t + 4*k = 11 - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401093 + 205084 = 13*w - r, 46629 = w + 2*r. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -53, 10, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1264)\/(-2370)*5\/6)\/((-30)\/(-4725))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027184938 to 7 dps.\nAnswer: -0.0002718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41883*s = -41929*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 25. Let p = c + -11. Suppose -i + 3*q - 5 = 0, 3*i + i - 50 = -p*q. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40*(-14)\/(-2240)*-68?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -10, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7873, -64223, -217327, -515611, -1007501?\n\"Answer: -8071*v**3 + 49*v**2 + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.870013 to two dps.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 - 53*q + 17. Let v(i) = i**2 - 17*i + 5. Let o(k) = -6*m(k) + 19*v(k). Calculate o(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and 533.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = 4*h - 18, -4*x - 12 = -4*h. Suppose -16 = j - 3*l, -3*j + 805 - 797 = -l. Solve -4*a - j = -h*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38dca (base 15) in base 2?\nAnswer: 101100011011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c + s = 45, -2*c - s = -25. Calculate the remainder when (2 - 3\/1)*-19 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391, 552, 701, 832, 939, 1016, 1057, 1056?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16*d - 51 = -14*d, -d + 68 = 6*t. Solve -w = -t*f + 8*f - 9, 0 = -f + 5*w - 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1854446995.\nAnswer: 5, 59, 269, 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586 = -42*u + 149*x + 144*x - 292*x, -3*u - 3*x - 48 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 45 = -9. Solve 1 - k = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -4 - 0) + 16\/12. Suppose -r*g**2 + 0 + 8*g**4 - 8\/3*g**3 + 4\/3*g = 0. What is g?\nAnswer: -2\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:28 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 + 620*a\/3 + 7008.\nAnswer: (a + 36)*(a + 584)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 2822*n - 1990921.\nAnswer: -(n - 1411)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -9 (c) 178 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 3. Let o be j(-8). Let x(v) = v**3 - 5*v**2 + 2*v - 2. Let b be x(o). What is the greatest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 10:59 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1427, 1308, 1127, 890, 603, 272, -97, -498?\n\"Answer: a**3 - 37*a**2 - 15*a + 1478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 958792000 to the nearest one million.\nAnswer: 959000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51409795*v**3 + 55*v - 876575?\nAnswer: -308458770*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (39\/(-9) + 5)*(-63)\/(-6). Suppose 1203 = -f*z + 10*z. List the prime factors of z.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34350 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*a = 22*a - 18*a + 816 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d + 16. Calculate w(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 7) + 1\/(2979\/8964). Is q at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*d**2*q + 5*d**2 - 327*d*q + 5*d + 1123369*q wrt d.\nAnswer: -8*d*q + 10*d - 327*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 24 + 1162*t**3 - 890*t**3 - 25 + 1782*t**3 as w*t**2 + c + j*t + h*t**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -75. Find the common denominator of 256\/54*3\/(-24)*-12 and (-2)\/7 + u\/(-56).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o**2 + 0*o - 3\/7*o**3 + 0 = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 177 (c) -0.5 (d) -0.03 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11333311021 (base 4) to base 2\nAnswer: -101111111110101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4291\/2 - 1617709\/754. Let y = b + -11673\/5278. What is the common denominator of y and -65\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -745.6012 - 15.3288. What is l rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*d + 2 + 2, 5*d + 2*l = -4. Suppose 2*b - 3*s - 9 = -d, 5*b + 4*s = -12. Solve y - 3 = -b*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 3:45 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2788*0.2.\nAnswer: -557.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 5*z**2 - z. Suppose 19 = 6*h + 1. Let o be 4 + -2 + 0 + h. What is t(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*a + 11. Suppose a = m + 7. What is the derivative of -2*q**2 + 5*q**4 + m - 9 + 2*q**2 wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16608896 is divided by 346016.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/8 of a litre?\nAnswer: 4125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 3. Let g be s(2). Let u = 7 - g. Differentiate -12*h**u - 28 + 64 - 24 wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223120 divided by -1111560?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*k**3 - k - 54*k**3 - 5*k**2 + k + 3 in the form w*k + n*k**2 + r + s*k**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/3*((-14945)\/(-15) + -8)?\nAnswer: 2, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j - 12. Suppose -2*w = -w + j. Let t(g) = -g - 1. Let i(o) = -1. Let v(c) = i(c) - t(c). Determine v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*g + 5*j, -5*g + 4*j = -7*g. Let c(o) = o**3 - 4*o**2 - 3. Let t be c(4). Sort t, 6, g in increasing order.\nAnswer: g, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, c: 3, x: 4, p: 1}. What is prob of picking 2 c?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 + 7*v**3 + 15*v**3.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/45 and 37\/345?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7, 5, 976?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 4, 2 in descending order.\nAnswer: 4, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -550 - -586. Let r(t) = -t**3 + 34*t**2 + 80*t + 98. What is the lowest common multiple of 2 and r(g)?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1450, 2903, 4354, 5803, 7250, 8695, 10138?\nAnswer: 11579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4\/3 + 44*i**3\/3 + 232*i**2\/3 + 16*i\/3 - 448 = 0.\nAnswer: -14, -6, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkxkxxxxkkxxkkkxxkxk. Give prob of picking 2 x.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**3 + 239890*g**2 - 1919360*g + 3838880 = 0.\nAnswer: -47986, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -0.4, 2, -1, 30?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r*v*x**3 - 3*r*v*x**2 + 7*v*x**3 - v + x**3 + 20 wrt x?\nAnswer: -12*r*v + 42*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(891)*-1 - sqrt(891))**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -240 (base 6) to base 3\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -53568 divided by 48\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1353*d**3 + 198*d**2 + 33*d + 33. Let g(j) = 169*j**3 + 24*j**2 + 4*j + 4. Calculate -33*g(h) + 4*s(h).\nAnswer: -165*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78703 and 633?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 23. Let o = 5 - 5. Let f be b(o). Let p = f + 46. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114659 - 37*j**2 + j - 114659 + (3*j + 0*j - j)*(2*j - 2 + 2) + 0*j**2 + j**2 + 0*j**2 to the form l*j + k + t*j**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**5\/60 - o**4\/24 + 3*o**2\/2 - 2. Let l(h) be the second derivative of g(h). Let x be 2\/4*(3 - 7). Give l(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*m**3 + 0 + 6\/7*m**2 - 8\/7*m.\nAnswer: 2*m*(m - 1)*(m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3779 + 5843. 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 third root of 2879234 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 9, 4*z = 2*h + 3*h - 418. Let g = h - 50. Suppose 5*j = 74 - 14. What is the highest common divisor of j and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8996*x + 9386*x - 45630 = 0 for x.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 927473885 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 558\/117)\/(-5). Sort 1\/22, y, 5 in decreasing order.\nAnswer: 5, y, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m - 31*m - 3*f = -3, 0 = -4*m + f + 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3 - 7924*h**2\/3 + 14910*h - 26300\/3 = 0.\nAnswer: 2\/3, 5, 1315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360495 divided by -6.\nAnswer: -120165\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven quarters of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47564, 95139, 142714, 190289?\nAnswer: 237864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 545 + 68*w**2 - 915*w + 915*w + 76*w**2 - 545 - 144*w**2.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 303 - 121. Let a = -159 + g. Solve 12*m = -13 - a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 7, 2\/7, 0.5 in ascending order.\nAnswer: 2\/7, 0.5, 4\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2907)\/342)\/((-5)\/(-10)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 0*g + 0*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5, -7 in decreasing order.\nAnswer: -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(640)*-6)\/sqrt(5) + sqrt(56)\/(sqrt(7) - (sqrt(7) + sqrt(175)) - sqrt(7))*5)*-5)**2.\nAnswer: 4440200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -15*u**3 + 30*u - 7. Let t(f) = 8*f**3 - 15*f + 4. Let n be 864\/(-756) + (-40)\/14. What is n*y(b) - 7*t(b)?\nAnswer: 4*b**3 - 15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 4 = -4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 57*u**2 - 3*u - 211. What is the hundreds digit of f(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**6\/6 - 587*q**4 - 2*q**3\/3 + 133*q**2\/2 + 2*q + 7829. Find the third derivative of z(a) wrt a.\nAnswer: 60*a**2 - 14088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, 193, 670, 1599, 3130, 5413, 8598?\n\"Answer: 25*t**3 + t**2 - 3*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**1)**(-25)\/(c**(-2\/9))**(1\/52) assuming c is positive.\nAnswer: c**(-11699\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**3 - j**2 + 2*j - 1. Suppose 12 = 3*f + 3. Let o = 12 - f. Suppose 0 = -8*i + o*i - 1. What is x(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7285 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -28, -6, 6, -3, -4, 4.\nAnswer: -28, -6, -4, -3, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 3\/11*w**2 - 35\/11*w.\nAnswer: (w - 11)*(3*w - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x - 9. Calculate the smallest common multiple of 7 and a(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 8:48 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2720*m + 125855 = -162886 + 103781 for m.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 31*q - 29. Suppose -7*v - 4 = -39. What are the prime factors of k(v)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1*f)**(-44))**(1\/29) assuming f is positive.\nAnswer: f**(-88\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-104)*4\/3\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-968)\/858)\/((-20)\/390).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let u be -2 + -1 + 1 + -5. Let t = -7 - u. Which is the nearest to -1? (a) v (b) 4\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 not equal to -265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*a**2 - 281*a**2 - 68 + 560*a**2.\nAnswer: -5*a**2 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11893, -23820, -35749, -47680?\nAnswer: -59613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119\/4 + 61\/2. Let r = 13\/926 - 149575\/1852. Let v = 81 + r. Sort v, 0.5, g.\nAnswer: v, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -210 - -215. Suppose -n*h = -5*d + 2195, d + 43 - 486 = -h. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -2) + 6\/2. Let u(n) = -n + 9. Let d be u(o). Sort -2, d, -3.\nAnswer: -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 3*t**2 + 6*t**2 + 0*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -12. Let x = 8 + n. Let l(i) = 7*i**2 + i + 12. Let b(d) = -d**2 - d - 1. Let u(c) = -6*b(c) - l(c). What is u(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-70)\/(-25))\/(6\/15) - 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 - -68. Let q(l) = l + 2. Let d be q(-4). Is ((-3)\/d)\/((-3)\/t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.791 - -4.391. Which is the closest to -1? (a) -2\/7 (b) 12 (c) p (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10312*n + 3461*n + 3429*n + 3417*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -36, -50, -62, -72, -80, -86?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 1. Let w(r) = -6*r + 1. Let b(h) = -3*o(h) - w(h). Let v = 10 - 7. Calculate b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453610 <= 3453611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -626724, -626873, -627022, -627171, -627320, -627469?\n\"Answer: -149*s - 626575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.1 + -6. Let i = -0.161 - 4.839. What is the nearest to 2 in i, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 675 + 0?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = 3*d, 0*l + 3*l - 3 = 4*d. Suppose d*u - 3*u - 5*m = 23100025, -7699995 = u - m. Round u to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -37534*u**2 - 1. Let t(n) = -2*n. Calculate p(t(h)).\nAnswer: -150136*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505 = -6*u - j - 50, 5*u - 2*j - 399 = 0. Calculate the remainder when 2041 is divided by u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2060815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 374, 559, 754, 965, 1198, 1459?\nAnswer: 1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 + 7*p**2 - 254*p + 1043. Let v be y(4). Solve -87 = v*w + 18*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22a4a1 (base 12) to base 15\nAnswer: b010d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**3 - 3 + g**3 + 5*g**3 - 1 - 4*g**2. Let c(q) = -q**3 - 10*q**2 - 8*q + 5. Let s be c(-9). Determine r(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1482, -1478, -1476, -1476, -1478, -1482, -1488?\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**4 + 17157800*d**3 + 18399381302484*d**2 - 68631200*d - 73597525210000 = 0 for d.\nAnswer: -2144725, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 31970.\nAnswer: 351670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42042200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 25*k + 77. Let c be v(4). Let y be (5 + -5 + 1)*c. Let h(g) = -g**3 - 8*g**2 - 9*g - 6. What is h(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 827, -3 in descending order.\nAnswer: 827, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 84, 257, 562, 1065, 1832, 2929, 4422, 6377?\n\"Answer: 11*t**3 + 96*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 2*j**4 - 2*j**4)*(-3 - 2 + 3) + 12835 - 278*j**4 - 33070 + 277*j**4.\nAnswer: j**4 - 20235","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {x: 4, i: 2, f: 8, j: 5}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -114 or -1361\/12?\nAnswer: -1361\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167 + 182. Suppose f*k - 23*k = -1944. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60048 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 237\/21 - 2\/7. Do -1 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*t - 70. Let w = t + -44. Solve 2*a + 2*a + w = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76731 is divided by 104.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 605989?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(320) + 5)**2.\nAnswer: 64*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*r = 156*r - 312. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = j + j - 9, 3*j = 0. Solve 0 = b - c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 14. Let d = -110 - -101. Let u be o(d). Solve u*q = 9*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*m - 88*m - 1052*m + 47*m.\nAnswer: -1554*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.121*-179.\nAnswer: -21.659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 4:53 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 168*b - 720.\nAnswer: 3*(b - 60)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1218)\/224*(-6800)\/(-1275).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/28 - (-57408)\/(-6006) - 18\/(-2)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 0*d + 2*d. Let n(l) = -l + 1. Let k(b) be the first derivative of 2*b**3\/3 - 3*b**2\/2 + 3*b + 1. Let h(i) = k(i) - 3*n(i). Calculate h(v(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 5. Let p be x(6). Let j = p + -7. Let n(v) = -6*v + 1. Is n(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 28 = 2*a - 13*f, f = 9*a - 32*a + 63 + 46 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2 (c) -2\/21 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p - 27. Let u be l(10). Solve -i + 4*x - 18 = -0*x, -u = i - x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1043008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 + 5*f. Let w(z) = 1. Let u(o) be the third derivative of o**4\/24 - o**3\/6 - 5*o**2. Let l(g) = u(g) + w(g). Calculate 3*l(b) - r(b).\nAnswer: 3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 3)\/((-280)\/(-6) + -2). Let k = 317\/402 - p. Which is the nearest to -1? (a) k (b) -0.2 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-18)*-3)\/((-19)\/(-1330))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**4\/12 + 4*r**3\/3 - 41*r**2 - 100*r. Let l be v(6). Sort -5, 4, 97, l in decreasing order.\nAnswer: 97, 4, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5333*h**2 + 28*h - 5333*h**2 + 2*h**3 to b + a*h**3 + w*h**2 + j*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6748 divided by -1687\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aakaaakkkkkkkkkkkk. What is prob of sequence kaak?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 12, -1780 in descending order.\nAnswer: 81, 12, -1780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 12*a**2 - a - 8. Let p be h(-12). Suppose -4*r = 3*m + 1371004, -1374341 - 453661 = p*m + 2*r. Round m to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-2 + 2 + (-3*sqrt(5)*-2 - sqrt(5)) + 4)**2.\nAnswer: -12*sqrt(5) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 237\/4. Sort -1\/23, -4, a in increasing order.\nAnswer: -4, -1\/23, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 7*s**2 - 8*s + 6. Suppose 0 = 4*o + 5*t - 1, 2*o = -4*t + t + 3. What is the smallest common multiple of 12 and k(o)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068\/(-2590) + (-108)\/(-90) - (90\/14 + -6)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - 24. Let i = -30.1 - a. Let p = 0.1 + -0.3. What is the nearest to i in -1\/6, -3, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frr when three letters picked without replacement from {r: 7, f: 9}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6595 rounded to the nearest one hundred?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5300.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 389*g + 386*g - 124.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6126838 - d + 6126838.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -66*r - 16. List the prime factors of d(-3).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380.515055 rounded to one decimal place?\nAnswer: -380.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzzw when four letters picked without replacement from {e: 1, u: 5, w: 2, z: 3, y: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7055 is divided by 66.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-6)*(-4)\/(-16)*-8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 - (-13)\/5. Let p be (3 + -5)\/((-2)\/t). Solve 0 = -g - 0*g + p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1233)\/108)\/((-2)\/(-4)) and (-3)\/(-9) + (-74)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.6 + 212366582\nAnswer: 212366588.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 56 = -2*s + s, -3*k = 4*s - 29. Calculate the remainder when k is divided by 3\/((-2)\/(-4)*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 93269 in descending order.\nAnswer: 93269, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 52843, 2\/5, 5?\nAnswer: 52843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 317739?\nAnswer: 11\/317739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/2)\/(4\/242) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 + 17\/(-4). Let i be j\/(-22) + 16\/(-88). Suppose -2*d + 0*y = -4*y + 4, -d - 2*y - 2 = i. Which is the biggest value? (a) -5 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 9*x - x**2 - 7*x + 3*x**3 + x**2 in the form a*x + f + q*x**3 + y*x**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17312, 69241, 155790, 276959?\nAnswer: 432748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 3*b + 4. Let f be a(4). Let k = -3 + f. Let d be 1 + 2 + -1 - k. Calculate the highest common factor of 2 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*8\/10 + (-1125628770)\/(-25). Suppose 153505150 - y = 12*o. Round o to the nearest 100000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) 0 (c) -2\/9 (d) 11\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -4\/5, 0, 6 in descending order.\nAnswer: 88, 6, 0, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n + n = -216 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 9 - (5 + (7 - 20))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*y - 569 + 561, j = -2*y - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -65, -63, -59?\n\"Answer: y**2 - 3*y - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 461158.5 + 0.5\nAnswer: 461159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12018 - 12018. Is m bigger than -8\/745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2*j**3 + 3*j**2\/2 + 29. Let i(f) = -11*f**2 - 7*f. Determine 7*h(g) + 3*i(g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -12*c**2 + c + 140. Let u(y) = -94*y. What is u(q(f))?\nAnswer: 1128*f**2 - 94*f - 13160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1\/9 (c) 0.5 (d) 49 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-1 - -2) + -1)\/3)\/(-3). Let t be -3 - -1 - 12\/(-2). Suppose -2*o = -t - 2. Solve -5*q + o*q = g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 534 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l**2 - 7*l**2 + 4*l**2 - 21*l**2 - 24*l**2.\nAnswer: -79*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*b**5 - 368*b**5 + 50*b**5 + (-b - 1 + 1)*(-1 - b + 1)*(3*b**3 + 2*b**3 - 3*b**3).\nAnswer: -326*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 9. Let m be ((-2)\/5 + 8\/20)\/(-1). Suppose m = -5*k - 24 + 139. Calculate the remainder when k is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -558.3686 rounded to the nearest integer?\nAnswer: -558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 3*o + 6. Let g(y) = 2*y**2 + 4*y + 7. Let f(t) = 6*g(t) - 7*n(t). What is the second derivative of f(d) wrt d?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/2*82\/41*((-6)\/(-4))\/(-3)\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/8 - (-2)\/(-8). Let d = -7078 - -7077. Sort d, k, 10.\nAnswer: d, k, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1463 and 149\/1730862.\nAnswer: 19039482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 5 + (6 - (0 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 25106\nAnswer: 45\/25106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 w when three letters picked without replacement from {b: 2, s: 1, w: 2, a: 1, t: 1, x: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/9*v**3 + 2*v**2 + 2\/9*v**4 + 14\/9*v + 4\/9.\nAnswer: 2*(v + 1)**3*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*y + 8477*y**2 + 3*y**3 - 8482*y**2 - 68*y - 10*y**4 to s + c*y**2 + u*y**4 + x*y + m*y**3 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 3*a - 71 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 216 - 9)*(-19*k + 25*k + 114*k) in the form v*k + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**3 - 26*i**3 + 8*i**2 - 8*i**2.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3744 = -14*v. Let h = -465 - -489. Calculate the greatest common divisor of h and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2092676 is divided by 335.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*w**2 - 120*w + 119*w - 18*w**2)*(-2*w**3 + 0*w**3 + 0*w**3).\nAnswer: 134*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7183.\nAnswer: 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c**2 + 4*c - 4. What are the prime factors of y(-4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 679.7978t?\nAnswer: 679797.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 1) + (2 + 25 - (22 + 19 + -23)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65 - -113?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4751*p - 34 - 4746*p + 9496*p. Determine q(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*l + 54*l - 36 = 0. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 74.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(95)*1 - sqrt(95))\/sqrt(5) - sqrt(171)\/(sqrt(45)\/sqrt(5) + sqrt(9)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/3 - 10*l**3\/3 - 14*l**2 + 106*l\/3 - 56\/3.\nAnswer: 2*(l - 7)*(l - 1)**2*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 4*y. Let u be l(-4). Suppose 4*g - 4*k = u, -3*k + 21 = g - k. Suppose 7*v = 2*v + g. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 12. Suppose r + 4 = 3*r. Let s = m - r. Calculate the least common multiple of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and -331.\nAnswer: -331.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17044?\nAnswer: 2, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548581 at most as big as 2548580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22327*q**3 + 15459*q**2 wrt q.\nAnswer: -133962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 6:28 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b - 6. Let f(r) = -18*r - 19. Determine -8*a(z) + 3*f(z).\nAnswer: -6*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, 2365478.\nAnswer: -15, -4, 2365478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -45677359?\nAnswer: 2\/45677359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1192 + 3613\/3. What is the common denominator of -9\/2 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j**2 + 244*j - 985. Give r(4).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - 0. Let l = -7.99 - -7.79. What is the third smallest value in l, -1.9, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(50)\/sqrt(2)*2)\/sqrt(5))**2 + (-3*sqrt(35)\/sqrt(7) - sqrt(320)*4)**2.\nAnswer: 6105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -168, -172, -178, -186?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302 - -309. Sort 12, k, -1 in ascending order.\nAnswer: -1, k, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2431 and 188826.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -29\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 0*a**2 + 0*a**2. Let y(c) = -10*c + 3. Let h(s) = -48*s + 11 + 9 - 6. Let j(i) = 3*h(i) - 14*y(i). What is j(t(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14483*d + 16238*d - 110565 = 0 for d.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -564326*a**2 + 254*a + 512. Let q be x(-2). Round q to the nearest 10000.\nAnswer: -2260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8441)\/1468)\/((-7)\/12*(72\/7 - 11))?\nAnswer: -69\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 v, and 1 t when three letters picked without replacement from {d: 1, t: 8, f: 9, v: 2}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 32*p**3 + 5*p**2\/2 + 2*p + 4. Let k(a) = -7*a + 11. Let j be k(2). Is s(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 5*i = -460. What is the highest common divisor of 23 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*o + 41, k + o + 3 = 7. Solve k*r - 12 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209.5959g to nanograms.\nAnswer: 209595900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 + 1436*b**2 - 1436*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 - 7*v**2 - 4*v**2 + 11*v**2 - v**2 + 11*v**2 + 4*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19350 and 1056725?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(468) - (2 + sqrt(468)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*z + 14. Suppose z*s - 503 = -5*a, 4 = 2*s + 2. Solve -5*n + a - 90 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 28*y + 53. Determine r(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-75)\/(-10) + (-5)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 2. Let d be c(4). Suppose d*f = 22 + 2. Let k be 106\/6 + 1\/3. What is the highest common divisor of k and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-5))\/(((-3)\/(-3))\/7). Let h(s) = -9*s. Let j(o) = -4*o. Let r(n) = m*j(n) + 3*h(n). Let w(y) = -21*y**2. Give r(w(v)).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 12) to base 15.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 2\/11, -0.5, 2.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1573*n - 1553*n + 3124*n - 1804 to k*n + l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(2\/21)))\/(a*a**(-11\/2)\/a) assuming a is positive.\nAnswer: a**(227\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 + 642 - 273 = -26*i. Let c = -3.2 + 3. Sort 1\/4, i, c in ascending order.\nAnswer: i, c, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16111\/2 + -8057. What is the closest to 0.43 in 3, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7493 - 93 = -2*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 7 = -15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 16*m**2 + 29*m + 14. Let w be j(-14). Determine r so that 2\/7*r**4 + w - 6\/7*r**3 - 2\/7*r + 6\/7*r**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 + 19 + 20 + 1323\/(-21)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + sqrt(128))**2.\nAnswer: -48*sqrt(2) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 12:53 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 217117339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10300 is divided by 2572.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-4) - 7458\/(-226)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y + 274 + 6 = 0. Which is greater: 23 or y?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1190301, -2380601, -3570901, -4761201, -5951501, -7141801?\n\"Answer: -1190300*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 14. Let m(d) = -d - 9. Give -8*m(s) - 5*z(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/7 - 68667*y**2\/7 + 403981920*y\/7 - 17940614400.\nAnswer: 3*(y - 11280)**2*(y - 329)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/5 - 4*d**3 - 2*d**2\/5 + 4*d.\nAnswer: 2*d*(d - 10)*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -310118?\nAnswer: -4\/155059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 26 = 4*t + 3*q, -4*t - 3*q = -30. Solve -5*a + t = f, 0*a = -a - 2*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + -3 + sqrt(5))**2 - (sqrt(80) + 2 + 3 + sqrt(5) + 1 + sqrt(5)).\nAnswer: -18*sqrt(5) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 11*a + 8*a = -3, -3*f = -4*a + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -436282 - -3936562\/9. Let j = l + -1116. Calculate the common denominator of j and (2793\/18)\/(-7) - 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67106 divided by 754\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -138, -58, 43 in descending order.\nAnswer: 43, -4, -58, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 114249122671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -422*j + 2. Let l(m) = -m. Determine n(l(w)).\nAnswer: 422*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 15 (c) 3 (d) -0.4 (e) 249\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/2 or 749?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1484.5 - -1477.863. Let p = t + 0.037. Let k = 7.6 + p. Which is greater: 0.25 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y. Let n(i) be the second derivative of i**7\/2520 + 17*i**4\/6 - 30*i. Let k(u) be the third derivative of n(u). Determine k(a(o)).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*x - 7. Suppose y - 33 = x. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 6. Let x(r) = 1. Let d(q) = 4*x(q) + z(q). Determine d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 4853100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -171033 smaller than -2907564\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2\/33 (c) -2\/5 (d) 40 (e) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14266692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8\/19 - -52\/57. Let q = -26 + 18. Let i = -9 - q. Sort z, 5, i in increasing order.\nAnswer: i, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1323 and 364308?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1670 is divided by 418.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 2. Let a be w(0). Let i be ((-138)\/(-12))\/(a\/(-12)). What is the tens digit of ((-1 + i)\/(-2))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 576110046?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 6:48 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/5)*w)**(2\/77)*w**17*w*w**21 assuming w is positive.\nAnswer: w**(15019\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1239050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(sqrt(5) - (1*sqrt(20) - sqrt(20) - sqrt(20))))\/(2*sqrt(40)\/sqrt(490)).\nAnswer: 7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**22*b**(-29)*(b**(-16)*b)\/b*b*b\/b**(-2\/29) assuming b is positive.\nAnswer: b**(-607\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -2. Let b(h) = 2*h - 14. Suppose 4*y = y + 27. Let t be b(y). Sort 3, t, c in decreasing order.\nAnswer: t, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 5*h + 5. Let j(k) = 2*k**2 - 6*k + 6. Let c(v) = -6*i(v) + 5*j(v). Let p(f) = -6*f**2. Calculate p(c(l)).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 211*u**3 - 125 - 39*u**3 + 115 to the form r*u**3 + g*u + b*u**2 + p and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14466844 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10770 divided by -3590.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 14) + 8 + 2 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*z**2 - 156*z**2 - 102*z + 160*z - 169*z - 23 to the form w + r*z**2 + l*z and give l.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.688 + -0.608. Is v >= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.843606 millilitres in litres?\nAnswer: 0.000843606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:20 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2012112113 - 22101?\nAnswer: 2012030012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. Suppose 3 = l*r - 5. Suppose -r*s + 9 = 1. Solve a = -a - s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-969)\/(-15) + 8\/20 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) 0.5 (c) 0.09 (d) 1 (e) -0.32 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2. Let u(v) be the second derivative of 5*v**4\/2 + 14*v. What is p(u(l))?\nAnswer: -1800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16032 and 146125?\nAnswer: 14028000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -316*k + 314*k + 5*f + 8 + 10, 15*k - 64 = 2*f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/32148 and ((-15)\/(-60))\/(3\/(-498)*-8).\nAnswer: 128592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let w be x(-1). Suppose -7*c + 309 = -34. Calculate the remainder when c is divided by ((-2)\/4)\/(w\/34).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/4 + -5*1. Let v = t + 8. Let -h**2 - 3*h**2 - 5*h**v - 4*h**4 + 4*h**2 - h**2 = 0. Calculate h.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32917 - 26*i**2 - 32917 + 16*i to j + d*i + v*i**2 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3325\/38*(-24)\/84. Is o smaller than 283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14382456?\nAnswer: 2, 3, 11, 157, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99502\/29 or -3432?\nAnswer: -3432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.216 in 0.15, -1\/2, -0.2, -0.08?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + m + 4 + 9 = 0, 3*m = 6. Put 10, z, -4, 0 in descending order.\nAnswer: 10, 0, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/3 and -71\/300657.\nAnswer: 300657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n - 2 - 5*n + 7*n)*(-103*n + 103*n - 12*n**3).\nAnswer: -168*n**4 + 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c + 8. Suppose -m - 21 = 2*z, 2*z - 13 = -2*m - 45. Let j(p) be the first derivative of -15\/2*p**2 - 3 - 15*p. What is m*r(x) - 6*j(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 277, 337, 397?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -18) + (-12 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(1573) + sqrt(1573)*1)*2 + -2*sqrt(1573) + -4 + sqrt(1573))**2*2)*1 + -1.\nAnswer: -528*sqrt(13) + 28349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2. Suppose g - 5 = -0*g. Suppose g*p + 9 = 8*p. Let y(j) = -p + 2*j + 5*j + 3. What is y(d(z))?\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -103c1 (base 13) in base 3?\nAnswer: -1111002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**4 - 814*f**3 + 6*f**2 - 2 + 812*f**3 + 2 - f to the form c*f**4 + k*f**3 + o*f**2 + p*f + g and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (9 - (-19 - -81))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11606.\nAnswer: 2, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -9) + -4 + 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 - 221\/3. Let d = -65 + 339\/5. Find the common denominator of d and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s + 10. Suppose -x + 4*y - 26 = 0, -x + 49 = -5*x + s*y. Is x\/(-5)*(-160)\/(-6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6294\/23 at most -275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/910 and 57\/57610.\nAnswer: 748930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11794994 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 67, 120, 171, 220, 267, 312, 355?\n\"Answer: -b**2 + 56*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 316, 1543, 3590, 6457, 10144?\n\"Answer: 410*u**2 - 3*u - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597061310?\nAnswer: 2, 5, 59706131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 8*o**2 + 3*o + 9. Calculate q(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, 1\/8, 121, 0.36 in increasing order.\nAnswer: -247, 1\/8, 0.36, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*s + 12 = -250*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28\/3*u**2 - 16\/3*u + 0 - 2*u**3 = 0. What is u?\nAnswer: 0, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 2*p + 6 - 10 - 4 - 24.\nAnswer: 2*p - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49640 and 136.\nAnswer: 49640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 9. Let k be (-18)\/(-36) + ((-30)\/4)\/(-5). Sort 3, k, c in descending order.\nAnswer: 3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2*(-27)\/6). Let p = -4 + 4. Does p = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8629 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068211?\nAnswer: 433, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 178517524 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + 0)*((-20787)\/12)\/13. Suppose -2*k = -5*k + q + v, q = 2. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 2*y**2 + 3*y + 2. Let l be a(-3). Let t(w) = -w - l*w + w. Let d(j) = -3 + j - 3 + 6. Calculate t(d(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.90063 years in months?\nAnswer: 1018.80756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -84*y**2 + 468*y - 64. Let m(z) = 13*z**2 - 72*z + 10. Let d(p) = -5*h(p) - 32*m(p). Suppose d(o) = 0. Calculate o.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c - 7. Let z(b) = -5 + b + b + 0 + 2. Determine 2*d(n) - 5*z(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 102815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.2. Let n = -0.5 - b. Let f be (-6)\/9 + (-5)\/(-12). What is the closest to 0 in f, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-86.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*k - 2 - 1 - 3*k + 3*k with respect to k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -734*h**2 - 2*h**3 - 5*h**4 + 741*h**2 + 2 + h**3 to the form g*h + d + x*h**2 + s*h**4 + c*h**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 10 = b + 2*b, -3*g - 4*b - 4 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.38764t to grams.\nAnswer: 50387640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7*k**3 - 2\/7*k - 2\/7*k**2 + 0 = 0. What is k?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216*c**2 + 660 + 188 + 114*c**2 + 98*c**2 to the form w + l*c + b*c**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162363*(456\/855 + 1\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 1. Let l(u) = u**2 + 8*u + 8. Let f be l(-6). Let k be (-12)\/f*4*(-1)\/6. Determine d(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*t - 2*t + 689 - 909 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -114, -90, -64, -36, -6, 26, 60?\n\"Answer: j**2 + 21*j - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6249 (base 11) to base 14\nAnswer: -3037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - y. Let o = 308 + -307. Let n(b) = 95*b**2 - 30*b. Let i(c) = o*n(c) - 30*x(c). Let a(l) = -l**2. Give a(i(z)).\nAnswer: -4225*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/19*h**2 + 0 - 2\/19*h.\nAnswer: 2*h*(h - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.14 + 894.49. Let q = i + -872. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x - 3*n - 320 = 0, 249 = 4*x - n. Suppose 3*k - 2*h + 196 = 0, k + x = h + 4*h. Calculate the common denominator of -85\/2 and k\/4*(-3)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201 or 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h - 2*h)*(h - h - 2*h) + 5*h**2 + 18*h + 1 - 13*h - 4*h**2.\nAnswer: 7*h**2 + 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2636c2a3 - 1?\nAnswer: 2636c2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -23. Suppose -90 = -5*l + 3*h, 31 = 2*l - l + 2*h. Let w = l + 21. What is the greatest common divisor of w and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 3 (c) 0 (d) -214\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*v = -24, 3*b + v + 52 = 3*v. Let k = b - -26. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -21*q + 20. Let c = -58 + 53. Let o be -3 + -1 + 4\/(c - -3). What is the tens digit of n(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*k = k + 2, -4*n = -5*k - 1. Let b be -7 + (n - 0) - 1. Is (b + 43)*(-2)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7002, -14003, -21004, -28005, -35006, -42007?\n\"Answer: -7001*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**4 - 16*b**3 - 24*b**2 - 16*b - 4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.94 + -0.06. Let l be (-32)\/14 - 2\/(-7). Let c be (-2)\/6 + 22\/(-6). What is the second biggest value in c, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nej. What is prob of picking 1 e and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2679873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -234 - -237. Suppose 5*t - n = 2*s + 25, 4*t - 28 = 3*s. Solve -t*o + 2 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*b + 90, 0 = 2*b - 3*b - o + 8. Solve -2*f - 7 + b = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-9771\nAnswer: 48855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 7:41 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5476 + -5472. Solve -l = -2*i + y, -2*y + 4 = -3*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 - -156. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h*h**(2\/3))))\/h)\/h)**(-2\/57)*(h**(-1\/3)\/h)**(-5\/6) assuming h is positive.\nAnswer: h**(64\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 17*u + 9. Let m = 5 + 5. Suppose -2*a - 4*r + m = -8, 4*a + 4 = 2*r. Is u greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(468) + -3)**2 + sqrt(468))*-1 + (1 + sqrt(13)*-2 + 3)*1.\nAnswer: -1427 + 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -26*o**2. Let a(x) = 16 + 10*x - 19 + 3. Give k(a(y)).\nAnswer: -2600*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 32*f**2 - 78*f - 260. Let y be z(29). Which is the second smallest value? (a) 367\/2 (b) 0 (c) -1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 17*w - 8 - 99, 0 = 11*w - 5*w - 3*p - 51 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84715626617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -363 - -386.1. Let p = -0.059 + -27.941. Let w = p + q. What is w rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -10, 5 in decreasing order.\nAnswer: 6, 5, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - 115. Suppose -m*s = z - 0*z - 9, -3*s = -4*z - 9. Which is greater: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5142 + 655 = -7*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*j + 11, -2*d - 2*j + 7 = -j. Suppose -2*r - 50 = -5*g, 3*g - 4*r = 23 - 7. Let b = g - 9. Solve b*i = i - d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59c (base 13) to base 8.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2895690 to the power of 1\/2, to the nearest integer?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/26331 and -71\/15.\nAnswer: 131655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 4:17 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 3*x**3 - 3*x**3 - 3 - 2*x**3 + 5*x**3 - x**3 + (4*x + 0*x - 6*x)*(0*x**2 - 4*x**2 + 6*x**2) + 3*x**3 - 3*x**3 - x**3.\nAnswer: -2*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3)*1*(6 + -7). Sort 4, 1\/2, g, 3\/11 in increasing order.\nAnswer: 3\/11, 1\/2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 10*m**3 - 4799*m**2\/4 + 23010*m + 576 = 0.\nAnswer: -1\/40, 24, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 21*h + 43. Let z be n(-7). Let g(p) = p**2 + 4*p - 9. Give g(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/29, 0.5 in increasing order.\nAnswer: -5, -2\/29, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 8*y + 8. Let x be h(-8). Let b be x\/(-12) + 52\/6. Let i(c) = c**3 - 11*c**2 + 27*c - 19. Let o be i(8). Solve -o*g + 7 = -b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nef when three letters picked without replacement from ngnnnfenennffeennn?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1223, 14, 1.\nAnswer: 1, 14, 1223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 16*r**2 - 21*r + 47. Let c be b(17). What is the tens digit of (-1 + (-5)\/(-2))*(145 + c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-18)*28\/119?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.7 - -3.6788. Let h = 35.1812 + s. Let l = h + -35. What is l rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13908 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6288 and 240?\nAnswer: 31440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -48255 >= -48257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiy when three letters picked without replacement from {i: 3, y: 1, s: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 - 4*y**2 - y + 2. Let a be m(-2). Let g(l) = l**2 - 13*l + 14. Let w be g(a). Solve t = -w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (8 - -1) - (8 - -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67.39 + 66. Let i = c + 2.39. Is i less than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253 (base 14) to base 3.\nAnswer: 122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32255000 rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 + 7*c + 3. Let l be u(5). Let k be (l\/(-10))\/(-3)*(-5)\/2. Let s be (-4)\/(-8)*6*k. Solve 0 = -v + 4*n - s, -4*v = -0*n + 4*n - 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.2. Let o be (-3)\/2*(-4)\/21. Is o > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216224.\nAnswer: 2, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/714708 and 11\/6670608.\nAnswer: 20011824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 5:25 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3 + 4*i**2 - i - 6 = 0. What is i?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1660*a*c**3 - 2*a*c**2 + 16*a*c + 2*a + 8*c**3 + 2*c**2 wrt c.\nAnswer: 9960*a + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -17. Suppose -5*w + 2*g + 3 = -8, -f*g = -6. Suppose 7*i + 3*u = w*i + 4, -2*u - 12 = -i. What is the greatest common factor of i and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 153. Let x be ((-12)\/u)\/(-2)*1. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -3, -3\/4, 1, 80?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000871 rounded to 5 dps?\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**8\/(u*u\/(u*(u\/((u**(-1\/12)\/u)\/u))\/u)*u*u))\/((u*u**(-8)\/u)\/(u*u**(-7\/4)*u)))**(-2\/93) assuming u is positive.\nAnswer: u**(-92\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 13*j - 91. Let h be g(7). Suppose 2*n = n. Solve 3*i = -3*c, -4*i + n*c + 4*c = h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3163012 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1720.100039797 - 1720.1. Round f to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/63*3\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 247239*m - 2. Let u(o) = -2*o**2. Calculate x(u(c)).\nAnswer: -494478*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2076\/7 + -298. Which is smaller: y or 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.07896 rounded to 1 dp?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -13. Calculate the remainder when i is divided by ((-2)\/(-4))\/((-1 + -2)\/(-72)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31845, 31973, 32171, 32439, 32777, 33185?\nAnswer: 33663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -28, 2\/3, -0.2 in descending order.\nAnswer: 44, 2\/3, -0.2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1987922 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 - -77. Suppose 0 = -b - 7*v + k*v + 255, b + 5*v = 260. Does 37 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven halves of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - 7 + 0*s**3 - 4 + 5*s**3 to the form t + n*s**3 + q*s + c*s**2 and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 11*j**2 + 7*j - 12. Let r be t(10). Let u = 169\/4 + r. Let z be -3 + (-98)\/(-34) - 0. Put 7, u, z in decreasing order.\nAnswer: 7, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 1\/3*o**3 - 4 + 7\/2*o**2 + 4*o. Suppose -12 = 4*a + g, 3*a + 0*a = 5*g - 32. Give c(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 4:32 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 0*s - 2\/5*s**3 + 0 - 2\/5*s**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -5\/2*x**2 + 16*x**3 - 18 + 12*x. Is b(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, v: 3}. What is prob of sequence voov?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651*z = -3*z - 584 + 1921 + 3199 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11758 * -0.028.\nAnswer: -0.00329224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910*f + 1610*f - 13741 = -2470*f + 46489 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(2\/7)*o*o*o*(o\/((o\/((o**3*o)\/o))\/o))\/o*o*o**6\/(o*o**(-2\/3)))\/(o**5*o**6)**(-32) assuming o is positive.\nAnswer: o**(7694\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -297 + 301. Which is the closest to 1\/2? (a) -0.5 (b) m (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -596*g**2 - g**3 - 1665*g + 835 + 6*g**3 + 1421*g**2.\nAnswer: 5*(g - 1)**2*(g + 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 11 + 205 = 0. Let i(x) = -57*x + 3. Let o be i(-1). Calculate the highest common factor of l and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 4:32 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*g + 95 + 91, 0 = 3*l - 12. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302034444?\nAnswer: 2, 7561, 43051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 20007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4086?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/15 - d**3\/6 - 3*d**2. What is the lowest common multiple of 5 and k(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13175.06*193.\nAnswer: -2542786.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a8 (base 14) to base 4.\nAnswer: -11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -24*u. Let o(c) = -c - 4. Let i(w) = -70 + 79 - 7*w + 9*w. Let f(d) = 4*i(d) + 9*o(d). Calculate l(f(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1344*h - 2*h**4 - 927*h**3 + 4*h**4 + 1052*h**2 - 2304 + 1021*h**3.\nAnswer: 2*(h - 2)*(h + 1)*(h + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*g - z, 9 = -0*g - g + 5*z. Let o = g - -4. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2082 - 8538. Suppose 0 = -13*m - y + 7599. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-21))**(-15))**(2\/81))**1 assuming r is positive.\nAnswer: r**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2\/5, 1.4, 1\/22, 3, 205?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*y + 6. Suppose -y*f + 4*o = -3, -o + 12 = f + 2*o. Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/6, -2, 4\/79, -1\/3 in decreasing order.\nAnswer: 2, 4\/79, -1\/6, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 10*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 + (-254 - -249) - (-11 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -15.0582.\nAnswer: -1.50582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z + 35. Suppose -4*s = -5*x - z*s + 223, 0 = x + s - 43. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30512.6 minus -6.3?\nAnswer: -30506.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.4066931 * 1\nAnswer: -0.4066931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(120)\/sqrt(10)*1 + 4 + (sqrt(3) - ((sqrt(18)*1)\/sqrt(6) + sqrt(3)))**2 + sqrt(3) + sqrt(3) + ((sqrt(108)\/sqrt(6) + sqrt(18))\/sqrt(6))**2) + 0.\nAnswer: -76 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72365 + 53?\nAnswer: 72440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62211205 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1464)\/2 + -10 - -6. Is i at most as big as -733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-48)\/(-32))\/(1\/2). Suppose 2*n = -d*i + 3*n + 2, 2*n = -4. Solve -16 + 45 = 4*k - 3*m, -2*k - 4*m - 2 = i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1.8136042.\nAnswer: -0.9068021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -46*g**3 - 1752*g**2 - 150*g + 53. What is l(-38)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 51\/14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r**2 + 27. Let u(h) = -h. Calculate u(d(y)).\nAnswer: -8*y**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 551.82398 less than 0.1?\nAnswer: -551.72398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 26 (c) -13 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 4 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2433 - 0.26782. Round o to 4 decimal places.\nAnswer: -0.0245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/252*-2*3\/(-1)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p**2 + 30*p + 68. Let u be s(-3). Calculate the greatest common divisor of u and 1075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 - 2*p**2 + 4*p + 4. Let q be l(-2). Let s(b) = -2 - 2 - 992*b + 8. Let v be s(q). What is v rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113465 divided by -1686\nAnswer: 113465\/1686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 144 = -0*z. Suppose 41*h - z*h = 40. Suppose 0 = -h*c - 6*c + 168. Solve 0 = -5*b + 2*b - c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 + 8074572*k\/5.\nAnswer: -k*(k - 8074572)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let i(r) = r**2 - 8*r - 10. Let u(g) = -i(g) - 2*v(g). Let s be u(7). Factor 15*w + 31*w**2 + 5*w**3 + 3*w**3 + 3*w**s + 2 - 7*w**2.\nAnswer: (w + 1)**2*(11*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 13*x**2 + 43*x + 6. Let r = 3478 + -3485. Calculate a(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 4 (c) 5 (d) -3 (e) 2\/5 (f) 1 (g) -0.346\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 1. Suppose -5*a = 4*f - 13 + 3, -5*f + a = 2. Suppose -t + q*t - 115 = f. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 13 - 33. Let g = -11 + q. Let d = g - -15. Which is the nearest to d? (a) 4 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/6)\/(5\/(-90)) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b + 5*b + 34*b - 624. Calculate the greatest common divisor of b and 1038.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854652504?\nAnswer: 2, 3, 29, 1227949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*p = -428*p + 4344 + 1886 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 0 + v + 1\/24*v**4 - 1\/6*v**3 - 1\/60*v**5 - 15*v**2 + 1\/40*v**6. What is q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*j**2 - 26*j**2 - j + 2 - 32*j**2 - 35*j**2 to g*j + n + m*j**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -3, 5 in descending order.\nAnswer: 5, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 35 = -3*u + 5, -16 = -2*d + 2*u. Solve 0 = -j - d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/7 + 14220*x**2\/7 - 25276050*x\/7 = 0 for x.\nAnswer: 0, 3555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 115 + 19. Solve 16*p = 24*p - c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -392*r**4 - 1031*r?\nAnswer: -4704*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.918 - 7.058. Which is smaller: 23 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-53215)\/58*(2\/10 + -1). Suppose -9 = -w - 4*x + 10, -4*x = -16. Suppose -w*u - 5*h + o = 0, -u = -2*h - 2*h - 273. List the prime factors of u.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 1\/3 (c) -3 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/59076 and 49\/18.\nAnswer: 59076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389818728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 20118.\nAnswer: 80472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112244343 - 10?\nAnswer: 112244333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/42)\/(3402\/630*(-30)\/126).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2253 + -1339. Let r = m + -467. Let o = r - 271. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*o + 0)*(35*o**3 - 230*o**3 - 19*o**3) to q*o**2 + c*o + x*o**4 + t + j*o**3 and give x.\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a - 83. What is j(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 575 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85770.\nAnswer: 2, 3, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3577 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -8*m. Let d(g) = -6 + 3*g - 7*g + 7*g - 4*g. What is d(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154100 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 0 - -4 - (-24 + 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39381509357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9558979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**3\/3 + 12*m - 2. Let c(k) = -2*k + 66. What is c(g(p))?\nAnswer: -4*p + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 37 = 35. Suppose -2*i = m, 5*m - w = i - 5*i. Let l be 1\/m + (-725)\/(-6). What is the highest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*c + h - 2*h, 3*c + 18 = -3*h. Is 5\/422 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30604 - -6008?\nAnswer: 36613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*u - 3317 = 2624, 29669 = 5*v + 2*u. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 483 = -z. Let u = z + -1447\/9. Let y(w) = w**2 - 2*w - 4. Let r be y(3). Is u equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 3\/4, 842, -0.7, -5, 51 in decreasing order.\nAnswer: 842, 51, 41, 3\/4, -0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 8. Let a be o(-6). Let t be -3 - -3 - 4\/a. Let m = 148\/219 + -2\/219. Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 54*l**2 + 5*l - 26. Let u(g) = g**3 - 45*g**2 + 4*g - 25. Calculate 5*a(j) - 6*u(j).\nAnswer: 4*j**3 + j + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -204 + -5?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (51*z**2 - 647*z + 647*z)*(369 - z**2 - 369) as s*z**4 + c*z**3 + q*z**2 + g*z + m and give s.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-21)\/7)\/((-3)\/(-2) + 0). Let x(i) = 4 + i + 0*i - 3 - 3. Let t be x(-3). Which is the smallest value? (a) q (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 0 + 0)*(25 - 19 - h + 3*h) to the form w + a*h**2 + d*h and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 218 - 213. Solve -2*c = -0*c - w*f + 25, 5*f = 5*c + 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4383 is divided by 1461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7.24 * 5\nAnswer: -36.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 156386?\nAnswer: -156386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*s + 752 - 752)*(-2*s + 2*s + s**2) + s**2 - s**2 - 2 + s**3.\nAnswer: -30*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let a(q) = 18*q + 46. Let x(v) = -10*v - 21. Let w(h) = -4*a(h) - 7*x(h). Give n(w(g)).\nAnswer: 2*g + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169 and 89401?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - x**2 - 15*x - 19. Calculate l(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 0, 12\/7, 3, 14\/23 in decreasing order.\nAnswer: 3, 12\/7, 14\/23, 0.08, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*l + 19 - 2 - 38 + 26 to k + i*l and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, t: 16}. Give prob of sequence tt.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m - 8*m - 4*m + (2 - 4 + 3)*(20*m - 448*m + 19*m)*(2 - 1 - 3) + 3*m + 3*m - 5*m.\nAnswer: 802*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**5\/5 - h**4\/3 + 2*h**3\/3 + 5*h**2 + 16. Let w(o) be the second derivative of a(o). Let w(y) = 0. What is y?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2701*f + 14008 = 43719 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/253368 and -59\/4284.\nAnswer: 1773576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/2)\/(a\/(a**(-4\/9)\/a)))\/(a\/(a\/((a**(2\/11)*a)\/a))*a\/a**(-2)) assuming a is positive.\nAnswer: a**(-421\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = 5*n, 24*i - 21*i - 7 = 5*n. Which is the third biggest value? (a) -0.3 (b) n (c) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 1 - 1 + (5*l + 0*l - 3*l)*(4 - 1 - 1) + l + 0*l + 0*l + (3 + 0 - 1)*(2*l - 2*l - l) - l - 2*l - 2*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600.61*-49.\nAnswer: -29429.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -4, 11, 3, -1 in descending order.\nAnswer: 11, 3, -1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:13 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 160.52847274 + -200\nAnswer: -39.47152726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6)*(-11 + 5). Factor 34\/3*w**4 + 8\/3*w**5 + 44\/3*w**a + 2\/3 + 56\/3*w**3 + 16\/3*w.\nAnswer: 2*(w + 1)**4*(4*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - i = -6*h - 19, -2*h - 5*i = -26. Suppose a = -h*u + 252, 5*u + 393 = a + 125. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 7*a - 54. Suppose a*j = 44*j - 10. Solve -4*k + 0*u - 3*u - 8 = 0, j*u - 40 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 264, 404, 548?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17286989 or -17286996?\nAnswer: -17286989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 14. Let q be m(15). Let u = 38 + -35. Which is the closest to q? (a) 4 (b) u (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30921, 61832, 92743, 123654, 154565, 185476?\n\"Answer: 30911*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 1, d: 1, b: 1, y: 1, t: 2}. What is prob of sequence ty?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3675785459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 15378.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 2)\/1*-5. Suppose -10 = 5*t + c. Is 1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-1*-2)\/sqrt(11))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59996*v**2 - 25 - 54979*v**2 + 25.\nAnswer: 5017*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Suppose 22 = -2*n + 5*v - 10*v, 0 = n - 4*v - u. What is the remainder when 35 is divided by 3\/10*n*-5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 899 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26654864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -179 - -194 - (-50 + 4).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r - 102. Suppose -7*v - 55 = -12*v. What is the remainder when 72 is divided by m(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323532 (base 9) in base 2?\nAnswer: -101111000101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(1\/6)*t)*t\/(t**(-4)*t)*(t**(-1\/4))**(-3\/47))\/((t*t\/t**(-1\/3)*t*t**(-2)*t*t)\/((t*t\/t**(2\/5))\/t)**(-6\/11)) assuming t is positive.\nAnswer: t**(1951\/10340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (726\/(-297))\/(8\/36).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**5\/10 - 7*l**4\/12 - 3*l - 2. Let k(j) be the first derivative of h(j). What is the third derivative of k(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 16*k - 15. Let n(u) = -8*u + 7. Let a(t) = t**2 - 5*t. Let l be a(7). Let j(m) = l*n(m) + 6*x(m). Suppose j(o) = 0. Calculate o.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-78)*832\/128.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u + 9. Let z be t(1). Suppose -3304 = -21*a + z*a. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be -16 + 18 - (1 - -17). Let t be ((-3)\/(-2))\/(1\/(m\/84)). What is the nearest to -0.1 in -5\/3, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuuh when four letters picked without replacement from iuhhuuuuhuohyooo?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1451*b + 871*b - 546750 = -2784*b - 4546*b for b.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 3*p**2 - 4*p + 11. Let u be r(-4). Solve 0 = 9*o - 7 - u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -136, -6, -21 in decreasing order.\nAnswer: 2, -6, -21, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6824 (base 14) to base 9\nAnswer: -26701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c + 22*c - c - 2*c - 7*c**2.\nAnswer: -7*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 78.1 in 0.18, -33, 2\/13, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -85\/18 (b) -0.6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -88 + 60. Let n(o) be the second derivative of 0 - 4*o + 0*o**3 + 0*o**4 + 5\/2*o**m + 1\/30*o**6 + 0*o**5. What is the derivative of n(a) wrt a?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8487 - 8533 = -23*w. Solve -20*t = -3*a - 23*t - 12, w*t = 4*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 4*c**2 + 7*c - 10. Let n be m(5). What is the nearest to n in 4, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 106 = -5*l + 24, -v + 2*l = -20. Suppose -75*u = -72*u - v. Let c(x) = -x**3 + 7*x**2 + 5*x + 10. Determine c(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032 + -20123010?\nAnswer: -20130102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*y - 5*s, -3*s - 26 = -5*y - 4*s. Let x(q) = 7 - 3 + 5 - 14*q + 13*q + 0. Let o be x(y). Solve 0 = -j - o, 0*n - n + j + 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-63))\/((-2)\/28). Suppose 0 = c*p - 6 + 2. What is the tens digit of -4 - (30*-3)\/p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4989 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*m + 23*m**3 - 16*m + 20*m**3 + 48*m + 55*m - 135*m.\nAnswer: 43*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*t + 51 = -4*v, 2*v = -3*t - 26. Let n be 2\/v + 2\/7. Find the second derivative of n*r + 0*r - 2*r**2 + r wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -21. Let p(a) = -4 + b*a**2 - 34*a + 30*a - 3*a**2. Let c(w) = -w**2 - 5*w - 5. What is -4*c(o) + 5*p(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 514*q**3 + 351*q**3 + 2*q.\nAnswer: -163*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**8\/336 + 107*j**7\/70 + 452*j**5\/15 - 7*j**2 - 2*j. Find the third derivative of b(v) wrt v.\nAnswer: -60*v**2 + 7704*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 6*w + 9. Let j be q(3). Let i be 153\/((-3)\/(-12) - j\/(-12)). What is the greatest common factor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49419.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, t: 3}. Give prob of sequence tt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405.9116 months in years?\nAnswer: 117.1593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 78 - 18 = 0. Calculate the remainder when 41 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12324 = -405*m + 5091 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gssfazswsffs. What is prob of picking 1 z and 1 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2157 and 7.\nAnswer: -15099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 1. Let s(u) = 4*u - 3. Let c(i) = 3*o(i) + s(i). Let l(z) = 2. What is 2*c(t) - l(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/(24\/(-864)). Let p = 32 - v. Let c be 6\/(5*p\/20). Solve -4 = c*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*f - h = -153*f + 87*f - 16, -4*h = -4*f - 64 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 710363423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, -2\/15, 0, 932 in ascending order.\nAnswer: -125, -2\/15, 0, 932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t**3 + 124*t**2 + 92*t + 105. Let i be f(-17). Let x(a) = a**2 + 21*a + 33. Give x(i).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(16\/5))**(-49)\/((f*(f\/(f\/((f\/(f**(-1\/5)*f))\/f*f*f)))\/f)\/f)**19 assuming f is positive.\nAnswer: f**(-803\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2 + ((-4 + 2 + 1)*(1 - 3 + 0) - 2 + 8 + 0)*(30 - 112 - 1))*(2 + l - 2)*(-4*l + 0*l + 2*l).\nAnswer: 1326*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*i + 2 - 0, 5*u = 2*i - 24. Let j(t) = 4*t + 2. Let f be j(i). Solve -45 = -5*l + 4*m, 0*m + f = 4*l + 2*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2206*u - 1708. List the prime factors of j(15).\nAnswer: 2, 13, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51, 106, 161, 216, 271?\n\"Answer: 55*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(-5*(2 + (-1 + sqrt(2))*-3) - (1*(2*(sqrt(72) + sqrt(72) + -1) + sqrt(72)))**2).\nAnswer: -2700*sqrt(2) + 36580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 28*k + 38. What is the remainder when a(0) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 14*l - 20. What is a(11)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -67*c**5\/20 + 107*c**4\/6 + 23*c - 2. What is the third derivative of h(w) wrt w?\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 7) + (18 - 24 - -4 - (-35 + 4))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 599 and 67687.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3348 to two decimal places.\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264 + 2424. Suppose 3*x = -0*x + v. Round x to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/352 and -13\/62720.\nAnswer: 689920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5487 divided by 7.\nAnswer: -5487\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 26. Calculate y(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*n + c - 1, -2*c = -2*n + 10. Suppose 2*d - 44 = -3*z, -45 = -5*z - n*d + 35. Calculate the greatest common factor of 45 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8607*p**3 + 1 + 4294*p**3 + 4287*p**3 - 3*p**2 - 3*p in the form c*p + y + s*p**3 + t*p**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 3*h**5\/20 - h**3\/2 + 3*h. Determine t, given that p(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.1, 0.587, 1?\nAnswer: 0.587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660136897?\nAnswer: 7, 1933, 48787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 - c**4 - 2*c**2 - c**3 - 19 + c**4 - c + 20 to o + l*c**4 + d*c**3 + b*c + r*c**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100465 - 133535 = -2*l. What is l rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74106548 divided by 1493\nAnswer: -49636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -18*x**4 + 50*x**3 - 36*x**2 + 4*x + 4. Let g(a) = -5*a**2 + a - 5 + a**2 + 4 + a**4 - a**3 + 3*a**2. Let u(k) = 4*g(k) + p(k). Factor u(z).\nAnswer: -2*z*(z - 2)*(z - 1)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*p**2*q*z - 5*p**2*q + 495*p**2*z - 89828*p**2 + 6*p*q*z wrt z.\nAnswer: -32*p**2*q + 495*p**2 + 6*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*sqrt(684) + 3 + sqrt(304) + -2.\nAnswer: -14*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*y - 38 = 0, 5*w - 6*y - 37 = -7*y. Suppose -2 = 3*j - w. Let f(d) = 14*d**3 + d. Let a be f(1). Solve o + j*x = -5, -2*o + 3*x = 2*x - a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 2:26 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 x when four letters picked without replacement from xwxwwxwwxxwwwwwwwwx?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*24394\nAnswer: 487.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8546 - 8546.9482. Let b = t - 0.0518. Let a be 3\/(-3) - -7*1. Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.25 times 12.68?\nAnswer: 3173.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b. Let d = 16 + -43. Let z = 0 - d. Let c(m) = -z + 27 - 10*m. What is h(c(s))?\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2 + 1. Let b be 2\/(n + 1) + -1. Suppose 3*s = -b*s + 3. Sort s, 0, 3 in increasing order.\nAnswer: 0, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-2))**(-24\/5))**30)**(2\/63))**(-26) assuming p is positive.\nAnswer: p**(-1664\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.02, 1, -57\/25, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/15)\/((-11)\/(-2365)). Let p = 247 + v. Let u = -1 + 3. Is u >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + t**3 + 0*t**3)*(-t + t + 2*t) + (5*t + 2*t**3 - 5*t)*(-260*t - 9*t - 10*t).\nAnswer: -556*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095375959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54917188.\nAnswer: 2, 13729297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 372403410 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*g + 53*g - 4*g - 6*g + 2*g + 2*g + 2*g + 2*g - 6*g + 4*g + g - 3*g + (0 + 0 - 2*g)*(2 + 1 - 5) to p*g + x and give p.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*k + o, 3*o = 5*o + 2. Solve -v + 3*v - k = 4*r, 5*v - 25 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 388.7875.\nAnswer: 1555.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 88\/42 + 54\/(-567). Let j be 1 - (z - -1)*(-4 + 1). Let x(p) = -p**2 + 7*p + 1. Give x(j).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:48 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + 13\/((-91)\/(-8134)). Let z = o + -508. Is 31 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167134.8 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 302111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-13 + 1 + 8)) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n**3 - 48390*n**2 + 34581*n + 13830 = 0. What is n?\nAnswer: -2305, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + c = 1, -7 + 1 = 2*c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (2 + -14)) + 12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14370240021 + 0.4.\nAnswer: -14370240020.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8*s + 2*u + 55 = 0, 5*u = 0. Suppose s*g + 44 = -0*g. Let d(o) = o**3 + 5*o**2 + 4*o - 3. Calculate d(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y = -40*y - p - 20, -3*y + 3*y = -87*p - 261 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -414, -970, -1818, -3012?\nAnswer: -4606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -363*r**3 - 154.\nAnswer: -1089*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 8:08 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/2365?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136990 is divided by 867?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -2)*1*0. Suppose 5*n + 3*l = 130, 0*n + n + 5*l - 26 = o. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 6:17 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 + 2*m + 1. Let y be o(-1). Suppose y*c = 5*c - 323. Suppose 11*r + c = 1423. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 579*h**2 + 6372*h + 7. What is z(-11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328, -296, -262, -226, -188, -148, -106?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {e: 3, h: 2, v: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3*b = 22, 19*y - 26*y - 3*b + 154 = 0 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (220\/(-40))\/((-1)\/2). Suppose 4*s - 37 = -3*g, 4*s - g = 3*s + v. Suppose -s*o = -5*o - 45. Solve -2*z + f + 1 = -3*z, -o = -z + 4*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzyy when four letters picked without replacement from zwzywwwywyzlddd.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 2\/3*h**3 + 0*h - 19 + 0*h**2. Let p(v) = 4 + 4*v - 4. What is i(p(q))?\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 9*k**2 + 19*k + 1. Let p(w) = 19*w + 20. Let f(g) = 6*p(g) - 7*y(g). Is f(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 6*n.\nAnswer: n*(n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (13 + -1 - 21) - 51.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**5 - 633905*l**4 - 4437115*l**3 - 3169315*l**2 + 4437120*l + 3803220 = 0?\nAnswer: -126774, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m - 4. Let a be w(10). Let g be a*(21\/6 - 3). Let c be (-1 - -1)*10\/(-30). Solve 33 = -n + 6*n + 2*s, 4*n - 3*s - g = c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31219 to the nearest 100.\nAnswer: -31200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 7. Let n = z - 3. Solve -13 = -2*y - n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1238.25 or -0.091?\nAnswer: -1238.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1861, 15333, 52239, 124405, 243657?\nAnswer: 421821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d + 1 - 2\/5*d**3 - 3\/100*d**5 + 0*d**2 - 1\/5*d**4. Let q(w) be the first derivative of h(w). Factor q(o).\nAnswer: -3*o*(o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8*g**2 + 15*g. Let a be 5\/(-30)*-33*2. Let j(z) = -3*z**2 + 5*z. Determine a*j(v) - 4*u(v).\nAnswer: -v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 274 + -487.5. Let d = 213 + s. Which is the closest to 0.1? (a) d (b) -4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 21. Let n be m(-9). Let w(r) = 5*r**2 + 6*r - 4. Let o(d) = -6*d**2 - 7*d + 5. Give n*o(k) - 7*w(k).\nAnswer: k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 52537*l + 2. Let y(a) = -a**2. Give g(y(h)).\nAnswer: -52537*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 14*m. Let z be p(-11). Suppose -s + 4 = -2*f, 0 = -5*s + 3*s - 2*f + 8. Suppose z = s*k - 33. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.30713, 0.3, 1, 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 9:27 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -578. Let l be (-1)\/(-5) - b\/(-5). Let w = -2383\/20 + l. Find the common denominator of -79\/2 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*((2 - -18) + 0). Let m be ((-3)\/(-6))\/(2\/x). Let b = -13 - -17. Solve 0 = -2*v + 3*p - 5 - 1, b*p - m = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**2 - 20956*s. Let v(i) = 15*i - 2. Determine u(v(o)).\nAnswer: -900*o**2 - 314100*o + 41896","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(12\/(-5))\/2. Let p(i) = -i**3 - i + 12. Let z be p(0). Let k = z - g. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-4))\/r**(-6)*(r\/(r**6*r))**(1\/5))**(-1\/31) assuming r is positive.\nAnswer: r**(-49\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68281399061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43506857?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 9*r + 8. Let k = 23 - -1. Suppose k = -17*l + 20*l. Calculate the remainder when l is divided by f(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 3*l**2 - 1. Let n = -20 - -30. Let w be 1\/(-3)*(n + -4). Calculate m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 divided by -165?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15326*l - 985459 + 4595 = 0 for l.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 6*g**2 + 5*g - 4. Let b be t(-2). Solve -1 = 2*p + b*k - 3, -5*p = -2*k - 33 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 111111010110011011000111110?\nAnswer: -111111010110011011000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*t + 72 = 5*u, -t = -4. Calculate the highest common factor of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*f + f + 2*x, 4*f - 2*x = 66. Solve 2*q + 21 = -3*v + 5*q, 3*q - f = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppappppppppppppp. What is prob of picking 3 p and 1 a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*0\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -104b1?\nAnswer: -1049b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1584041.02 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - ((-15)\/3 - -3 - -5). Let b be (a - (-30)\/(-24))\/((-1)\/12). Solve 4*p - b*p = 3, x - p + 8 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65386 equal to -65390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*n + 10. Let l(x) = -3*x + 4*x - 108 + 5*x**2 + 106. Let b(k) = -14*k**2 - 3*k + 6. Give n*b(p) - 17*l(p).\nAnswer: -p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*d - 338*d + 1 = l, 5*l - 5 = d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7872740*o**3 - 7872720*o**3 - 4*o**2 + 0*o**2.\nAnswer: 20*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 1.1 (c) -1.1 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4407148 is divided by 169504.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 37*q - 62. Let w be u(-13). Let a = w - -547. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -697 - -697.746. What is y rounded to two dps?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 10) to base 15.\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.825288 weeks in microseconds?\nAnswer: 3523134182400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/12510 and -101\/1105560?\nAnswer: 153672840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -31. Suppose 2*f + 8 + 2 = 0. What is the third biggest value in v, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3 - -2) + 2)*-31. Suppose 3*k - 168 + 33 = 0. Let x = k + y. What is the remainder when 25 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41.449 + 4.\nAnswer: 45.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 - 4. Let r(g) = 6*g**2 - 7. Let v(k) = -7*j(k) + 4*r(k). Let t(z) = z + 2*z - z + 10*z. Give v(t(q)).\nAnswer: -576*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(77)*1 + sqrt(77) - sqrt(77))*-5 + ((sqrt(77)*1 + sqrt(77))*-1 - sqrt(77)))\/(sqrt(704)*-2*-3) + -5.\nAnswer: -5 + 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 5:22 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 11*r**2 - 9*r + 5. Let q be h(-10). Let l be (-14)\/(-35) + (-15978)\/q. Suppose 2004 + l = -2*n. Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.39 + -1.61. Let x = 14 - 19.5. Let n = -6 - x. Sort 0.4, h, n in ascending order.\nAnswer: h, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254 * -0.1\nAnswer: -25.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 357326, 1428551, 3213926, 5713451, 8927126, 12854951, 17496926?\n\"Answer: 357075*g**2 + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 10*n**2 + 14*n + 6. What is o(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7838 + -188155\/24. Let g = 632815\/11781 - 1\/1683. Let v = 4841\/84 - g. Calculate the common denominator of p and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-6))\/((-6)\/(-9)). Let l(k) be the second derivative of -k**3\/3 - k**2 + 3*k. Let c be l(-3). Solve -t*h = -c, -2*o - 4*h = -3*o - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -15, -21, -27?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 313 and 0.243.\nAnswer: 313.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -134 + 141 - (9 - (0 + (-1 - 2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.949326 millimeters in meters?\nAnswer: 0.008949326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.158361 rounded to 1 decimal place?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 402, 916, 1432, 1950, 2470?\n\"Answer: s**2 + 511*s - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 33, 4, -0.3, 1\/105?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 9*c**2 - c + 5. Let u be d(-9). Suppose 5*r - 4*s - 40 = -5, 0 = 2*r + 5*s - u. Solve 0*m - m - r = -2*l, 0 = 4*l + 5*m + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 24 = -4*r, -3*r + 27 = 2*r + 3*p. Let d(u) = -2*u**2 - 3*u + 4. Let j(q) = -2*q**2 - 4*q + 5. What is r*j(t) - 4*d(t)?\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -341*p + 59?\nAnswer: -341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -46*g + 2663. Calculate q(58).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**3*x**2*y - 1646*s**3 + 82*s**2*x**2 + s**2*y + 8*s*x**2*y + 5*y wrt s.\nAnswer: 6*x**2*y - 9876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (15\/(-180)*-108)\/(6\/37234)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p + 1 + 2*p - 4*p. Let u be w(2). Solve z = -j - 2*z + 11, -5*j + 5*z = u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 25. What are the prime factors of ((-2322)\/q)\/((-9)\/30)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*2\/((-4)\/3). Let k(x) be the third derivative of -x**4\/24 - x**3\/3 - 24*x**2. What is the remainder when 19 is divided by k(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6*11)\/(0 - -2). Suppose 1 = -2*c - m, 5*m + t = 2*c + 2*c. Suppose -c*r - 15 = r. Sort 3, r, -3.\nAnswer: r, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533101440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8233127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - -21211132010?\nAnswer: 21211132203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48640608 divided by 912?\nAnswer: 53334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*p + p - 3*l, -3*l + 11 = -4*p. Let u(g) = g**2 - g + 4. Let o be u(4). Is 20 a factor of ((-45)\/(-36))\/(p\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -9532?\nAnswer: 5\/9532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 (base 8) in base 7?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 66 = 2*u + 2*u, u = 4*j + 30. Let n be (-5)\/u - 0 - (-20)\/40. Put -0.2, 0.1, n in decreasing order.\nAnswer: n, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - 144. Let j = p - -237. What is the remainder when 47 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078790 to the power of 1\/2, to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -331 - -337. Which is the second smallest value? (a) 3 (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19003857 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: Suppose 5*k - 388 = m, 3*k + k + m = 314. Suppose -2*x = -s - 20, 3*s - 30 = 5*x - k. Calculate the greatest common divisor of 156 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -84. Let a(f) = 16*f**2 + 3*f + 11. List the prime factors of a(l).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7377370 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1)*1*(-110)\/(-44).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (4 - ((4 - -5 - 8 - 8) + -44))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Suppose 4 = -5*s + 9. Let d(n) = 7*n + 12. Let h(j) = s*d(j) + 6*i(j). Let b be h(-9). Solve 0 = -4*q + 1 + b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 42. Put 7, v, 2\/3 in increasing order.\nAnswer: 2\/3, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1539) - (-1*sqrt(1539) + 5)) + 1.\nAnswer: -14 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*j - 135*j = g + 20, 2*j = 3*g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(33)\/(sqrt(18)\/sqrt(6)) - sqrt(11) - sqrt(11)*-2*-3))**2 + ((sqrt(66) + 5*sqrt(66)*-2 + sqrt(66))\/(-3*sqrt(864)))**2.\nAnswer: 32120\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and -3.4671.\nAnswer: 5.20065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/6)*v*v**(-2\/35)*v)\/(v**1*v)**(2\/123))**(-37) assuming v is positive.\nAnswer: v**(-555481\/8610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -132584, -132572, -132558, -132542, -132524?\n\"Answer: m**2 + 9*m - 132594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 7. Let w = 281 - 278. Let r be -3 - (y - (-9)\/w). Solve -5*n = -22 - r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 + 12 = 0. Suppose -3*u + y*u + 2 = 0, -4*n = -u - 10. Solve -4*t = 5*i - i + 8, -2*t - 8 = -n*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1430 is divided by 140.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2. Let k(b) = -39*b - 38*b + 100*b. Calculate k(x(f)).\nAnswer: -46*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*((-33)\/(-9) + -3). Suppose -2*x + 947 = y, 0 = -f*x + y + 2*y + 927. Suppose 2*l = -l + x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46675*q - 16105 + 16105.\nAnswer: 46675*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.16064 + 12.34. Let r = -0.90554 - c. Let o = -1.08 - r. Round o to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1434917 + 0.3\nAnswer: 1434917.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*k - 4*k**2 - 76*k + 170*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/(-10) + -1)\/(20\/100). Solve 0 = -t + k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 17*k - 22*k - 40, -5*w = -k - 28 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 d when three letters picked without replacement from bidibcq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.1, 9, 5, 391?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -252 - -318. Let t = -6 + 11. Put -5, t, h in ascending order.\nAnswer: -5, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**2 + 0*f**2 - 3*f**2 + (0 - f**2 + 0)*(-5 + 1 + 5) - f**2 - 2*f**2 + 8*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 6515362 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 543, 544, 547, 552?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1506 and -111\/14?\nAnswer: 10542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64\/87 - 2\/29. Let j be (-2 - -1)\/((-5)\/(-3)). What is the closest to 0.4 in p, -5\/6, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83635348 divided by -20908837?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*t**2 + 2*t**2 + 6*t**2 to the form u*t + h*t**2 + f and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-72))\/((62\/(-28))\/31)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -48, -102, -158?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 12:53 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 594*b**2 + 10*b + 1. Suppose -5*z = -m - 2, 2*m - 2 = -7*z + 11*z. Is c(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19865819 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709 is divided by 333?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000 + -110?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8656*u**3 - 4413*u**2.\nAnswer: -51936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 55932.\nAnswer: 2\/13983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5*sqrt(264) - sqrt(264))\/sqrt(6) + 3 + sqrt(132)\/sqrt(3) + -1)*-4.\nAnswer: -28 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31636 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 5*j**2 - 8*j - 9. Let h be u(-4). Calculate the greatest common factor of h and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3\/39*13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 468\/(-126) + 4 + 19391830\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 40*z**2 + 77*z - 124. Calculate g(38).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 2*m - 5. Let o be h(4). Let w(i) = 5*i - 1. What is the remainder when w(1) is divided by o\/(-12) - 39\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 57, 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 10 = -8*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1056 + 4251\/4. What is the common denominator of 35\/(-28) - 7\/12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/285 + (-2612)\/(-66) + 2\/22.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 5, -0.5, 5\/8, 29.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*o - 2*a + 8, 4*o - 13 = -3*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69048.\nAnswer: 2, 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 17. Let w be v(11). Let x be 3 - (-3 + -1 - -7). Which is the closest to 0.2? (a) w (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1339)\/1060)\/(24\/140). Let y = t + -1\/159. Find the common denominator of (-7)\/(-6) - (-1 + 2) and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 12f53c?\nAnswer: 12f544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Suppose g*s + 9 = 3*s. Suppose s*p + 21 = 6*p. Calculate the greatest common divisor of 35 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - u**3 + 0*u**3 + (-3 + 0 + 1 + 1 - 2 + 0 + (-2 + 0 + 3)*(2 - 2 + 2) + 2 + 2 - 2 - 3 - 3 + 3)*(0*u**3 + 0*u**3 + 2*u**3).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/1 + -1)*-4. Suppose 0 = -2*x + 2*i + 82 - v, 2*x + 5*i = 15. Let o = x + -9. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -13*x**8\/56 + x**5\/20 - x**4\/3 - 5*x**2 - 3*x. Find the third derivative of q(o) wrt o.\nAnswer: -4680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*k + 6, 0 = -5*u + 3*k + k + 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12)*144\/(-162). What is the nearest to a in -2, -0.4, -0.069, -5?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15644 divided by 3\nAnswer: -15644\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1716)\/(-65))\/((690\/(-100))\/23*(-12)\/9).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lakalaaiall. Give prob of picking 2 k and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2330.395538 + 2358.3955. Let n = 5.9 - -22.1. Let g = n - i. What is g rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 0.2, -4, 3, 10149\/7, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f. Let b be v(-5). Suppose -2*y + 2*m = 2*y - 20, -b*m - 14 = -4*y. Suppose -2*u = 6, 0*u = -3*c - u + y. Solve -c*g + 8 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = z. Let n = 6 - z. Let m(u) = -u**2 + n*u**2 - 33*u**3 - 10 + 32*u**3. Determine m(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33348, 66666, 99984, 133302?\n\"Answer: 33318*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59\/4 - -185\/12. Which is the closest to 1? (a) 7 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85538*r**3 + 1688*r**4 - 85538*r**3 + (-r**2 + 1 - 1)*(2*r**2 + r - r) - 8*r**4 - r**4 + r**4.\nAnswer: 1678*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 526068 (base 9) in base 10?\nAnswer: 312803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -10. Let a be 1\/((2\/(-4))\/f). Let k = 50 + -50.05. Which is greater: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 7849 in increasing order.\nAnswer: -1, 4, 7849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4*1)*64\/(-32).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1443 - -1.6192. Round d to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960107.\nAnswer: 59, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41424665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 23. Let c be n(-8). Let k be 9\/7 + c + (-22)\/77. Suppose k = 3*x - 2*x - 5*x. Solve -p + 4*p + 6 = x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 772 and 6246445.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 211, -382, 1 in increasing order.\nAnswer: -382, -2, 1, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3492 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2101?\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 33 + 19)*(v**5 + 2*v**3 - 2*v**3).\nAnswer: 36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/4)\/(6 + (-5898)\/984). Solve 5*g = -4*u + b, 0 = 5*u + 2*g - 6*g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 252 = 232. Let s = 3 - 8. Let p = -8 - -13. Sort n, s, p in decreasing order.\nAnswer: p, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t*t**2*t*t)\/t)\/t*t)\/(t*t**(-4\/7)*t))\/(t\/t**2*t**(-7)*t))**(-2\/19))**(-35) assuming t is positive.\nAnswer: t**(670\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88440, 88426, 88408, 88386?\nAnswer: 88360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -20b8?\nAnswer: 20b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 25, 20, 3, -32?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1416 or 1428?\nAnswer: 1428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 14*a - 6. Give b(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2703942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 + 21*w + 14. Let q be r(11). Let t = -35799\/20774 - 6\/799. Calculate the common denominator of t and (q + -7)\/24 - 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14911781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmm. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/9 or 196.737?\nAnswer: 196.737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -0.3. Let c = -51 + 151\/3. Put c, 0, y in decreasing order.\nAnswer: 0, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-256)\/196)\/(-2))\/((-6)\/(-175)). Let j = z - 55\/3. Which is the closest to 0? (a) j (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -820 + 1154. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3\/2 - 17591241*i**2\/2 + 211094028*i = 0. Calculate i.\nAnswer: 0, 24, 5863723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/79 (b) 543 (c) -0.03 (d) 0.2 (e) 3 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7209760 is divided by 481?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/8 + 3\/8. Suppose j = f - 3*m - 5, 0*f - 2*f + 4*m = -8. Solve c - f - 1 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(1\/5)))\/(f**11*f)*f*(f**(-2\/27)\/f)\/f*f*f\/(f\/((f**(-1\/4)\/f)\/f)) assuming f is positive.\nAnswer: f**(-7627\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849249.\nAnswer: 179, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**4 + 712*u**3 + 113*u**2 - 10 wrt u.\nAnswer: 48*u + 4272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5959*n = -6324*n - 1460 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 8:06 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)*-1 - 8. Let z(r) = -5*r - 2. Let u(o) = 6*o + 2. Let m(k) = s*z(k) - 6*u(k). Let n be m(-2). Solve 0*q = -d + 2*q + 7, 21 = -5*d - n*q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288792 by 9.\nAnswer: 32088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1307584726 by -14.\nAnswer: -93398909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 3*z - 7*z)*(7 - 6*z - 7).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1945, 1970, 1961, 1900, 1769, 1550?\nAnswer: 1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/((-2)\/12). Let m = l + 2. Suppose 48 = a + m. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 605665 and 1160.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 259299*n**2*u + 2*n**2 - 405364 wrt u.\nAnswer: 259299*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, e: 2}. What is prob of picking 3 b?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*c - 74*c - 13 = n, -c = 2*n + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24696 and 2548?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16698?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3 + (-24)\/(-9). Let o = 7 - j. Solve 5*u = i - 22, o*u - i + 14 = -4*i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 13. Let h(z) = z**3 - 6*z**2 + z - 2. Let t be h(y). What is the second derivative of -3*x**2 + 0*x**2 + x**2 + 2*x + t*x**2 wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqqqqqpqpqpbq. Give prob of sequence pp.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2231032 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -1\/8959?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 283*h**2 - 821*h**2 - 362*h**2 - 1302*h**2. Let t(q) = 3*q**2. What is l(t(k))?\nAnswer: -19818*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 2541\/(-147) - (-4)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:09 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*j - 9*j. Suppose j = n + 4*n - 265. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 3*n**4 + n + (2*n**4 + n**3 - n**3)*(-15 + 1 - 1) in the form x*n**2 + b + z*n**4 + s*n**3 + r*n and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 13 = -3*s, 3044*m + 71 = -4*s + 3055*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688442171 to the power of 1\/2, to the nearest integer?\nAnswer: 41091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4659 - 4273.8. Is h > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - l - 1. Let j be a(-2). Let m = j - 10. Is -1\/5 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 5*l**2 - 3*l + 5. Let z be 134\/8 + 8\/32. Let f = z + -12. Determine m(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 + 221276.\nAnswer: 221276.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13.2008 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = 0, v - c = -3*c - 8. Let w be 10*(-1)\/7*-7. Let d = w + v. Solve -d*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o = -a + 12, -2*a - 4*o = -12. What is the least common multiple of 494 and a?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-9))\/(t*t\/(t**(5\/2)\/t)))**(-29) assuming t is positive.\nAnswer: t**(-551\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35195 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: Suppose -20*j = -17*j. Suppose 0*w - 5*w - 100 = 5*s, j = 3*w + 2*s + 57. Let b = w - -69. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 2253450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i + 48. Let h = 47\/2 + i. What is the common denominator of h and -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 245335*j**2. Let s(x) = 11*x**2. What is s(t(b))?\nAnswer: 662081884475*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (200\/(-15))\/(3\/135). What is the common denominator of -25\/3 and ((-15)\/(-24))\/(-6*3\/w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 699722 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + p = 2*p - 2, 5*y + 4*p = 12. Suppose 0 = n - k + 4*k - 6, -3*n = 2*k - y. Let i be 264\/(-396)*18\/(-4). Is i at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2720 by -7.\nAnswer: -2720\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times 19.7?\nAnswer: -531.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71729005547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1982760 divided by -16120.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960048 a multiple of 1391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-486)\/324)*2\/(-18).\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:51 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.13, 5, -4, 322, -8, -1, 1.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(65)*2)\/(sqrt(80)*-3).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65331 - 10?\nAnswer: -65341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460 = 30*f - 123*f - 1204 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209 - -211. Let c = 15\/7 - q. Suppose -2*y + 12 = y. What is the third smallest value in -0.4, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 154\nAnswer: -1\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 36. Calculate the least common multiple of p and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 15 = -4*q + q - 3*x, -x - 3 - 1 - 13 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 53 - 8 - 7) + -68 + 66?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -81, -108, -117, -102, -57?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - l + 1. Let w be g(1). Solve 0 = -3*i - w - 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*l - 90, 0 = 22*l - 18*l + 5*k - 72. Suppose 0 = -l*n - 2*n + 8820. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/15))**(-33)\/(w**(-3\/7)*w*w**(3\/10)) assuming w is positive.\nAnswer: w**(93\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 3, -5, -2.844, 2140?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*f**4 - 2*f**3 + f - 280 wrt f?\nAnswer: -1128*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + 3*sqrt(72) + sqrt(72))*-2.\nAnswer: -192*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-2) + -2 + -1. Let l = n - -6. Suppose 0*b + 2*b = 5*f - 20, -4*b = l. Solve 6*p - 10 = 3*p - 4*y, 2*p + f*y = 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2922, -11693, -26310, -46773, -73082?\nAnswer: -105237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -70015945 to the nearest 10000.\nAnswer: -70020000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r. Let j(o) be the first derivative of -948*o**2 + 2961. Calculate j(p(b)).\nAnswer: 15168*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = -5*q, 3*o = -q + 7*o + 15. Suppose -q*i - 4*m + 10 = 0, -7 = -5*i + 3*m - 0. Suppose 0 = -g + 12 + i. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(sqrt(500) + ((sqrt(500) - (sqrt(500) + sqrt(500) + 2)) + 3 - sqrt(500)))**2*5.\nAnswer: -50100 + 2000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 6*i + 6. Let q be r(3). Suppose q*d = 2*d + 3*o + 1408, 0 = 5*d - 3*o - 1760. Let k = d + -579. What is k rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 1, m: 1, n: 1, h: 2, w: 1}. What is prob of picking 2 h and 1 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 344*m**2*q - 2*m**2 - 554 wrt q?\nAnswer: 344*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**5\/60 + g**4\/12 - g**3\/2 + 3*g**2. Let u be f(-3). Solve u*v = 2*v - 4*n + 24, 2*v = -3*n + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 + 1186*i**3 - 348069*i**2 - 2125336*i - 1776080 = 0 for i.\nAnswer: -5, -1, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 170. Suppose -3*g = r - 4, -2*r - 2*r = 2*g + 14. Suppose 0 = -y + g*y - o. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*a - 11 + 50 = 0, 0 = 5*m + 2*a - 70. Let t(o) = 8*o + m*o - 22*o. Let g(v) = -9*v. Calculate t(g(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 - 0.34. Let p = x + 11.5. Let z = -11.3 + p. Which is the second smallest value? (a) -1\/4 (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3549 in 0.1, 5\/3, -0.1, 0.04, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in 5, -3, -885, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**3 - 6*w**2 + 4*w - 8. List the prime factors of c(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19922 (base 10) to base 8.\nAnswer: 46722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Suppose -4*x = -5*u - 0*x + 14, -u = d*x + 1. Let y = 6 + 1. What is the remainder when y is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/((-2)\/36*324\/216)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -25. Solve u*t = 3*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 14 = -3*l - 0, 2*w = 2*l - 8. Let g be 731\/3*(-35)\/(-25). Let t = g - 341. Which is the nearest to t? (a) -1\/5 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1592?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 7 = -4*a - 86, -3*p = -3*a - 48. What is the greatest common divisor of 165 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 0.019601?\nAnswer: -0.280399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let m(j) = 41280*j**2 + 333. What is d(m(y))?\nAnswer: 41280*y**2 + 333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1332.3249 months to centuries.\nAnswer: 1.11027075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 5)*(-5 - 13 + 2) + (2 - 4 + 0)*(-4 - 2 + 4))*(0*m + 0*m + m).\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -169\/16?\nAnswer: -169\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*i - 95 - 5. Solve -y = 3*y - i*q - 20, -y + 13 = -3*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5 + 449*u**4 - 38050*u**3 + 180020*u**2 - 68104*u - 286624 = 0?\nAnswer: -1, 2, 4, 106, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 36612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (12 - (0 + -2)). Let t = a - -14. Let g(p) = -4*p - 4. What is g(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217086507 by 50733.\nAnswer: 4279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvccecs. Give prob of sequence vgc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 10 = -23. Solve p*o = -k - 9, -3*o + 6*k - 9 = k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36763+-163846\nAnswer: -200609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/(-12)*(3 + -1). Suppose 5*b - 1 = -f - 0*f, -f - b = m. List the prime factors of 2\/f + 222\/27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-538)\/(-220580))\/(2\/(-12))*3\/((-12)\/(-20))\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m - 4*f + 102277, 0 = 4*m - 4*f + 409096. Let q be ((-5)\/30)\/(7\/m). Let b = q - 2432. What is the common denominator of b and -17\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4952 (base 10) to base 11\nAnswer: 37a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*i - 5*j, 0*j = -3*i - 3*j - 12. Let a be i + 0 + (-15 - -18). Suppose 2*k**2 - 7*k**2 + k**a + 2*k**3 = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, 3, 7, -5, -39, -101, -197?\n\"Answer: -w**3 + w**2 + 18*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 4517.73?\nAnswer: -4517.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 23*z**2 + 4*z - 4*z. Let c(m) = 2*m**2 + 15*m + 25. Let l(t) = -3*t**2 - 24*t - 40. Let f(q) = 8*c(q) + 5*l(q). Give w(f(i)).\nAnswer: 23*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 - 15*w + 5. Let m(n) = -n**2 - 5*n + 2. Let d(q) = 7*m(q) - 2*s(q). Determine d(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10838395 is divided by 43880.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 353678 and 5490?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide ((-136)\/10)\/((-2764)\/690 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**12*j**(-7)*j**(-15)\/((j*j\/(j*j*((j\/((j*j\/j**(-8\/7))\/j))\/j)\/j*j))\/j) assuming j is positive.\nAnswer: j**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 - 140. Suppose 5*i = r*m + 125, 5*i - m = 110 + 10. What is the greatest common divisor of 4 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-31))\/p**(1\/36))**24)**(-1\/4) assuming p is positive.\nAnswer: p**(1081\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.2, -1\/9, 3, 3.61, 1, 0, 0.366?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3\/3 - 19933*r**2 + 298102968*r - 9830163596\/3 = 0?\nAnswer: 11, 29894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013222 (base 5) to base 15.\nAnswer: 4e27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 392969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1049904 to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 24, -4, 5, 467 in descending order.\nAnswer: 467, 24, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8726893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -176*s - 4. Let m be t(1). Let u be (-314)\/6 - (-2)\/6. Let z = u - m. Calculate the greatest common factor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:44 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 214, 352, 490, 628, 766?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5 - 77*s**4 - 257*s**3 - 339*s**2 - 200*s - 44.\nAnswer: -(s + 1)**3*(s + 22)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-3\/7))**(-33))**47)**(-3\/4) assuming u is positive.\nAnswer: u**(-13959\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 247013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190030934 and 3215.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 96*f - 372. What are the prime factors of t(7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*l - 931954 = -987944 for l.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/131 + -7985\/262. Suppose 8 = 4*c - b - 31, 3*c - 15 = -4*b. Calculate the common denominator of f and (c\/(-12))\/(3*(-3)\/102).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.9 times 6?\nAnswer: -203.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1\/3*g**3 + 0*g - 7\/3*g**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 32*q = -920. Let t = q - 43. Let c(s) = -s**2 - 2*s - 4. What is c(t)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14320, 14329, 14350, 14389, 14452?\n\"Answer: x**3 + 2*x + 14317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*j**2*y**3 + 1627*j**2 + j*y**3 - 8030*y**3 + 29*y**2 wrt y?\nAnswer: -36*j**2 + 6*j - 48180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -79, 82, 519, 1370, 2773, 4866, 7787, 11674?\n\"Answer: 23*b**3 - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 13*v**3\/6 - 2*v**2 - 514*v. Let l(q) = 12*q - 5. What is 7*b(r) - 6*l(r)?\nAnswer: 19*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -40. Let i = 108 + -754\/7. Sort -2\/7, d, -0.1, i in decreasing order.\nAnswer: d, i, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 101001?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 181500062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (-5 - -8 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28139 + -18400. List the prime factors of a.\nAnswer: 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -11*f**2 - 5*f - 3. Let m be k(-2). Let n = m - -1. Let s be n\/(-8) + 1\/2. Solve 0 = 3*z - 4*x - 11, s*x = -z - 0*x - 28 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 185*r + 3667 - 1077 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.695989584 minus 3?\nAnswer: -4.695989584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**4 - 16801*p**3 - 2*p**4 + 12*p - p**2 + 6*p + 16801*p**3 as l*p**3 + n*p**2 + s*p**4 + i + b*p and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 20 = -4*b, 4*b - 6 = 5*l - 0*l. Let k = l - 0. Suppose 4*n - 5*w = 38, k*w - 7*w = 10. What is the remainder when 20 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4\/5 + 96*s**3 - 477*s**2\/5 = 0. What is s?\nAnswer: 0, 1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.11 (b) 4 (c) 3 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012129428 to six decimal places.\nAnswer: -0.001213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/774 (b) 4 (c) -1\/3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1170 - 616?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (39\/(-12))\/(0 + 4\/17456). Let i = t + 9829. Let z = -1575 - i. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, x: 14}. What is prob of picking 2 y and 1 x?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 16. Let m(w) = 2*w + 14. Calculate -3*m(l) + 4*u(l).\nAnswer: -2*l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*m - 9*m + 29*m - 20*m.\nAnswer: -102*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82.1 - 4.9. Let s = r + 86.8. Suppose 0 = -z - z, 0 = 5*u - 3*z - 5. What is the closest to -1 in s, u, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/38464 and -99\/149048.\nAnswer: 1192384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*f**4 - 12 - 46 + 11*f**4 + 6*f**4 wrt f?\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3\/7, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.8302 + -2.879. What is the third biggest value in 0, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 1\/4, 1, -1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-2)\/sqrt(9))\/sqrt(10)*6 - (sqrt(22)\/(3*sqrt(11)) - (-3 + sqrt(2) + -1)).\nAnswer: -34*sqrt(2)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + v - 329 = 0, 4*v + 484 - 18 = 3*y. Suppose s - 3*s = y. Let w = s - -267. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-21\/2)\/(a**7\/(a\/a**(1\/2))) assuming a is positive.\nAnswer: a**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452.732 kilometers to nanometers.\nAnswer: 452732000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 172 - 171.61. Which is the third smallest value? (a) 2 (b) z (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 3:40 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 4. Suppose -z + 18 = -t*v, -z + 2*v = v - 6. Find the second derivative of -y**3 - 4*y**2 - 2*y**3 - z*y + 4*y**2 wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2418 + 12088\/5. What is the second biggest value in -1, -3, 4, 2\/3, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12212*d - 12239*d - 324 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**3 - 3*x**2. Let u(v) = 32*v**3 - 34*v**2. Determine -68*f(o) + 6*u(o).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = -6. Let k(b) = -3*b**2 + 6*b - 1. Let l(t) = -4*t**2 + 6*t - 2. Let m(w) = -3*k(w) + 2*l(w). What is m(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/10)\/((-188)\/(-1656) - ((-200)\/(-90) + -2)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:41 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -192004*z**2 + 192008*z**2 - 522 - 535 + 38 to l*z**2 + j*z + o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55215197 - 55215197 - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*3999.62.\nAnswer: -59994.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-4)\/(-50))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 7*o - 2. Let j be 0 + 0 - (0 + 8). Let p be v(j). Let z = 7 + p. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**8\/42 + j**6\/40 + 17*j**4\/12 - 477*j**2. Find the second derivative of t(c) wrt c.\nAnswer: 160*c**3 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 17*v - 39 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(3\/11)\/p))\/p**(1\/2))\/(((p**(-2\/5)*p)\/p)\/(p\/p**(5\/3)))*(p*p*p\/(p\/(p**1*p)))**35*(p\/(p\/(p**(3\/7)*p)))\/p**1 assuming p is positive.\nAnswer: p**(326609\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 2. Suppose -t*a + 343 - 93 = 0. Let h be -3*1\/(15\/(-50)). Calculate the highest common factor of h and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*v + 15*v + 207*v**3 + (0*v - v + 3*v)*(v**2 + 2*v**2 - 2*v**2) - 4*v**3 - 7*v + 7*v.\nAnswer: 205*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -85072 (base 13) to base 8\nAnswer: -723716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-15))\/(21\/18).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + 3*l + l**4 - 20*l**3 + 37*l**3 + 2 + l**2 - 11*l**3 to the form m*l**2 + j*l**3 + b + o*l**4 + c*l and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 35169 - 104433 = 0. What is the highest common factor of h and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2901 divided by -967\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 586*l\/5 + 403588\/5.\nAnswer: -2*(l - 326)*(l + 619)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffvvvffvvvfvfffvv. What is prob of picking 2 f?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 248 = 3*g - 882, -3*v = 3*g - 1110. Is 34 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 9 - 2 = 0. Let j = -9 + 13. Let d(s) = 12 - 12 - j*s. Determine d(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**2 - 14*a**2 - 3*a**2 - a**2 + 5*a**2 - 2*a**2 + (4*a + 2*a - 5*a)*(-3*a + 2*a + 2*a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44586992 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-50)\/5)\/(-2 - 0) + -5. Solve -5*w - 10*w - 60 = g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 0*x + 29 - 1\/2*x**2. Let a(c) = -7*c**3 + 4*c**3 + c + 0*c. Calculate -a(l) + z(l).\nAnswer: 3*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-98) - ((-3)\/11 + -2 + (-33420)\/(-1540))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 890 - 11*y**2 - 1777 - 2*y**2 + 887. Let m(w) = 17*w. Calculate m(g(o)).\nAnswer: -221*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7761745 is divided by 790?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7331 + -7331. Let n(g) be the second derivative of -1\/3*g**4 - 20*g + 0*g**2 - 2*g**3 + k. Find the second derivative of n(t) wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -22*m + 453. Let h be t(21). Let l(z) = z**2 - 1. Let u(q) = 6*q**2 + 10*q + 8. Let b(w) = -5*l(w) + u(w). Calculate b(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*r - 3 = 0, 5*m + 35 = 3*r - 8*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/35 + -2 + (-15)\/(-28). Which is the third smallest value? (a) -0.2 (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*u**2 + 7 - 5 + 0*u**3 - 2*u**3 to the form b*u + o*u**2 + p + s*u**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5736158 rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64478726 is divided by 7481?\nAnswer: 7468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104730 and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215123879\/10 + -189524082757\/8810. Let b = -2\/881 + q. Is 3 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/8)\/(33\/(-88)). Let s(j) = 6*j - y*j + 5*j**2 - 3*j - 4 + j**2. List the prime factors of s(-5).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 17*k**3 - 6*k**2 + 3*k. Let h be u(1). Solve -i - h = -14 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/3)\/(8\/(-12)). Suppose 2*r + z = 1077, -u*r - 2*r - 4*z = -2685. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-14)*203\/(-58)*2. Let v(b) = 2*b**3 - 4*b**2 + 2*b. Let i be v(2). Sort d, i, -4 in increasing order.\nAnswer: -4, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 484888855 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*m + 3. Let n = m + 2. What is the first derivative of 2*t**4 + 1 + n*t**3 + 0*t**3 wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8639 + -8585. What is the smallest common multiple of 162 and b?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqy when three letters picked without replacement from {p: 2, y: 2, l: 1, d: 2, k: 3, q: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 197645264503 take away -55?\nAnswer: 197645264558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 16. Let w be 8806\/1813 + 4\/7*16\/64. Let k(r) = r**2 - 5*r + 6. Let u be k(4). Solve -m*v + u*v = -w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-5)\/10*4925\/1970.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1495*s + 210*s**2 - 1495*s.\nAnswer: 210*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -18*k + 20*k. Let w = 523 - 272. Suppose 105 = 3*h + g - 45, -5*h - 2*g = -w. What is the greatest common factor of k and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 11:55 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.151*-0.4.\nAnswer: -0.4604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 42 = -2*m. Solve l - 22 = -5*o, 0 = 4*l + m*o - 2 - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b**3 + 2*b**4 - 96*b**2 + 65*b**2 + 30*b**2 + 2 to the form d + l*b**4 + s*b**2 + k*b + w*b**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -142079*b**2. Let o(k) = -3*k. Calculate l(o(s)).\nAnswer: -1278711*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazasaffafsaszafuu. Give prob of sequence ua.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 732340?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u + 12*u. What is the first derivative of -168 + 78*w**2 + 187*w**2 + u*w + 0*w - 99*w**2 wrt w?\nAnswer: 332*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -841 and -23.24?\nAnswer: 19544.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 2*a**2 - 13*a + 14. Let u be j(-5). Let q be ((-10 - -4) + u)\/(2\/(-14)). Solve -5*g + 24 = s, -4*s - 2 = -g - q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3628, -7252, -10898, -14590, -18352?\nAnswer: -22208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/(-99))\/8 + 4991\/2046)\/((-28)\/(-40))?\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/9 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 0*u**2 - 2*u**2 + (-2*u - 3*u + 4*u)*(-u + u - u) + 4*u**2 - 4*u**2 - 3*u**2 - 4*u**2 - 2*u**2 + 5*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/139 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/((-3)\/27). Let t(k) = -k**3 - k**2 + 7*k + 5. Let o be t(-3). Solve 4*n - w*y = -11, 0 = -5*n + 2*n + o*y - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19229 (base 11) to base 16\nAnswer: 690d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/375)\/(10\/25)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23242, 46482, 69722, 92962, 116202, 139442?\nAnswer: 162682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6140, -6103, -6054, -6005, -5968, -5955, -5978, -6049?\nAnswer: -6180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11165019 is divided by 2233?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-140)*0*(-2)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15066.77 nanometers?\nAnswer: 0.001506677","meta":{"dup_signals":{},"source":"measurement__conversion_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: What is the units digit of 8\/(8 - -16) + (-6437)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.679852 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11769, -23522, -35261, -46992, -58721, -70454?\n\"Answer: -j**3 + 13*j**2 - 11785*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 11 = -31. Suppose 14 = 4*j - b. Let y be 51\/((-1989)\/312) + 8. Solve 3*l - j = -y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 19. Is -8 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2. Let w = -91 - -46. Let b be 6\/w - 244\/(-30). Let r(z) = -2*z - b*z - 2*z. Calculate k(r(d)).\nAnswer: 288*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14710984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-429)\/(-312))\/(16\/(-10368)*-27).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1798\/(-4)*(-1616)\/25048?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9622 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1023271 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.1. Let u = j - -3.8. Let r be (3\/10)\/(3\/(-1)). What is the third smallest value in 0.5, u, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyey when four letters picked without replacement from byggeywe?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2*i - 6 - 17 - 14 + 1.\nAnswer: 2*i - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 916042 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times 0.046?\nAnswer: -1.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 48*p + 6114 = 6330 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 0.086192058908.\nAnswer: -0.013807941092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.314 + -1.144. Let q = 0.17 - u. Which is the second smallest value? (a) -20 (b) 2\/7 (c) q (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one halves of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from xirhhhihkhhhrr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2415\/2 - 1182. Let l = -27 + j. Sort 4, -3\/5, -3, l.\nAnswer: -3, l, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 243435.\nAnswer: -243435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1035913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 85, 109, 127, 139, 145, 145?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -853 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*g - 19*g + 16*g = -3420 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3393, 3474, 3555, 3636, 3717, 3798?\n\"Answer: 81*b + 3312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 131.39 and -0.15.\nAnswer: -19.7085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o**2 - 7*o. Let x(y) = -y**3 + 6*y**2 + 6*y. Give 6*j(d) + 7*x(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g + 3*g)*(-5 + 2 - 1 - g).\nAnswer: -4*g**2 - 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*v - 63 = 0, 5*i + 3*v - 14 = 48. Suppose 2*c + i*c - 4440 = 0. Calculate the highest common divisor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14440 and 304.\nAnswer: 28880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 14*a + 16. Let u = -35 - -50. Let b be k(u). Let i be (-15)\/10*-2 - b. Solve -7 + i = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 8*o - 1879 + 955 = 5*o - 944, 6*j - 2*o = o + 24 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 - 1 - 16*t + 365*t.\nAnswer: 349*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 589, 565, 525, 463, 373, 249, 85, -125?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 4:05 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - b5?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45.9 + 46. Let m = 20\/17 - 203\/187. Sort m, 4, z, 3 in ascending order.\nAnswer: m, z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22154496 and 112?\nAnswer: 22154496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1482 + 716 - 918 = -56*m + 136*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.4673 * -1.4\nAnswer: -3.45422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.735831 * -0.372\nAnswer: 0.273729132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**18*(z*z\/(z**(-2\/7)\/z)*z)**46)\/(z\/(z*z*z**(1\/3))*(z*z*(z\/(z*((z*z**(2\/3)\/z)\/z)\/z))\/z*z*z)\/z)**(-18) assuming z is positive.\nAnswer: z**(1506\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + -24 + 25\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 58575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 180363 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.32308 to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 99 - 36*f + 2*f**2 + 15*f + 19*f. Let w be a(0). Suppose 5*u = 5*t + 160, -4*t = -8*u + 5*u + w. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**6\/720 - m**5\/96 + m**4\/48 + 2*m**3 + 8. Let a(w) be the third derivative of y(w). Determine o so that a(o) = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 6*a**2 + 924 - 924.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/2 - 5103*o**2\/2 - 114030*o - 1138050 = 0.\nAnswer: -5058, -30, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 1\/3, -1, -1\/8, 1\/9, -0.6 in decreasing order.\nAnswer: 19, 1\/3, 1\/9, -1\/8, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27216252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*d**4 - 11*d*s**3*v**2 - 3*s**3*v**2 + 53*s**3 + 2*v**2 wrt d?\nAnswer: -28*d**3 - 11*s**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x. Suppose 33 - 807 = -3*p + 4*u, x = 4*p + 2*u - 1054. Let l = p - 173. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**2\/2 + 8*d + 6. Let q = -13 + 9. Let g be n(q). Solve g*u - 5 + 25 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1. Let h(o) = o + 6. Let z(p) = -6*b(p) - 3*h(p). Let q be z(-8). Calculate the greatest common factor of 96 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70 - 136 + 10*y**2 + 66 as w + j*y + v*y**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -1)\/((-6)\/(-9)). Let x = 67 - 265\/4. Sort m, x, 2.\nAnswer: x, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(3 + -2) + 7. Let s = 8 - w. Suppose -v - 480 = -s*v. Round v to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29123 less than -5?\nAnswer: -29128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6058513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5\/5 + 86*v**4\/5 + 166*v**3 + 2348*v**2\/5 + 511*v + 190 = 0.\nAnswer: -5, -2, -1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/(-9) - 12\/(-27). Solve 2*l + o*l = -2*i + 10, -5*i + 25 = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0072848607 rounded to 4 dps?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1704\/(-180) + (-1 - -4). Let r = -762 + 2306\/3. Let s = z + r. Put s, -2, 0.1 in increasing order.\nAnswer: -2, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = -18*a + 26*a + 16. Solve -5*h + 17 = a*m, 10*h - 5*m - 30 = 8*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from vgvvvggvaavooacgvvcg.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 4624477?\nAnswer: 4624472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from qagggzqaqzegbgezzeg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-100)*15\/2. What is the second derivative of f**2 - 185*f - 15*f**k - 1264 + 1264 wrt f?\nAnswer: -90*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 2*i + 11 - i - i. Let c be q(7). What is the remainder when 25 is divided by (4\/2 - 4\/c) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 2*s + 2. Suppose l + 2*l = -3. Let r(c) be the first derivative of c + 1. Suppose 0*m + 12 = 3*m. Determine l*h(j) + m*r(j).\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 80344 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 10 + 0 + 0 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 272763.3 decades?\nAnswer: 2727633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4 + (-1)\/(-2). Let k = 28 - 27.02. Let x = k + -1.1. Put t, x, -1\/8 in ascending order.\nAnswer: -1\/8, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12 = 2*y, 5*y = -5*m + 15. Let k be -10 + 13 + m\/(-1). What is the second derivative of -k*o - 13*o**2 + 5*o**2 - 3*o - o wrt o?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26890 - 169078415.\nAnswer: -169051525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0375*-11509\nAnswer: -431.5875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 98 + 46 = 0. Let s = 0 - r. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48.39 + -49.6. What is the third smallest value in 0, o, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**16*o*o*o**(-4\/11)*o assuming o is positive.\nAnswer: o**(205\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.01*-20.\nAnswer: -20.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 3.6. Let y = -236 - -398. Let v = y - 487\/3. What is the closest to v in c, -0.1, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5363.3394 microseconds?\nAnswer: 0.0000000620756875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 1049 + 904. Suppose 7*v - 4*v = f. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1465 - -4435\/3. Calculate the common denominator of j and -79\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - z - 2 + 6*z - 1 - 3*z - 1 + 4*z - 3*z - 3*z + (-3 + 1 + 0)*(-2 - 2*z + 2) - 4*z + 6*z - 3*z.\nAnswer: 3*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -6, -3 in descending order.\nAnswer: -3, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 = -3. Suppose -g + 12 = -2*z, -b*g = -2*z - 20 - 28. Suppose 0 = 3*c - 80 - 22. What is the remainder when c is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 389 - 391. Let a = 2 - 2.1. Let x = a - -0.2. What is the closest to x in 4, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/5 + 413*y**2\/5 - 179956*y + 3564480 = 0.\nAnswer: -1185, 20, 752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -35. Calculate the lowest common multiple of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -266\/375 or -1?\nAnswer: -266\/375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/28 - (-45)\/4. Let u be b\/5 - 2\/5. Solve -4*w + 4 = 2*t, -t + 8 = u*w - 3*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -5.30609269249?\nAnswer: 5.30609269249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7741 divided by 804.\nAnswer: 7741\/804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27351 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 10. Suppose -3*g - 3*w - 3 = 0, -4*w + f*w = -2*g + 18. Suppose -a + 5 = 4*a. Solve v + g = a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - i = 25*h + 25, -87 = 3*h - 3*i. Is h greater than or equal to -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 2\/3551635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.5. Let i = 1 - 1.02. Let p = 0.98 - i. What is the smallest value in 2, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 58. Let y be v\/1*(6 - 7). What is the first derivative of 0*g**2 - y*g**2 - 40*g**3 + 3*g**2 - 45 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*x + 12 = -0*x, -5*i - 13 = -3*x. Let k be 6\/9*(-9)\/i. Suppose -3*d + b + 25 = 3*b, -2*d + k*b = 5. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2672952649.\nAnswer: 29, 31, 2973251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -313d7a (base 16) in base 10?\nAnswer: -3227002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-346296)\/(-10575) + (-4)\/50 + 5\/(-3). What is the highest common factor of 8401 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 264, 1136, 2786, 5358, 8996, 13844?\n\"Answer: 24*c**3 + 245*c**2 - 31*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2077 is divided by 435?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 433*k**5\/4 - 18*k**4 - 7*k**3\/6 + 11705*k. What is the third derivative of r(i) wrt i?\nAnswer: 12990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1336*l - 738*l - 155*l.\nAnswer: 443*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**3 - 28*i**2 + 33*i - 6. Let s be x(1). Solve -19 = -3*a + 4*y, -s*y - 8 = -5*a + 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15119947.\nAnswer: 23, 47, 71, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -11 + 1. Suppose -38 = -j*z + 87. Let a = -11 + z. What is the highest common factor of a and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3 - 2*d**2 - 3 + 2 + 0*d**2. Let t(q) = 8*q**2 - 8. Let w(a) = 18*g(a) + 4*t(a). Differentiate w(k) with respect to k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.005\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141315 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*a + a. Sort 5, a, 0 in increasing order.\nAnswer: 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -607 - 72*v**4 - 26*v**3 + 25*v**3 + 152 - 8*v**3 + 680*v**4 wrt v?\nAnswer: 2432*v**3 - 27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 1. Suppose 19 - 28 = -3*p. Suppose -2*x + 5*k + 4 = 0, -2*k + p = x - 5*k. What is the closest to -0.1 in 2\/33, x, r?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*h*u**4 - h*u**2 + 2*h - 131517*u**6 - 4*u - 58197 wrt u.\nAnswer: -912*h*u - 15782040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*q - 17 = -4*h, 2*h - q - 5 = 0. Factor -2*j**2 + h + 4*j - 1 + 4*j**2.\nAnswer: 2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*s + 3*s. Suppose -2*y = 3*y, s*w - 309 = -y. Let o = -151 + w. What is o rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-159 + 12*m + 946 - 499)*(-4*m**3 + 2*m**3 + 0*m**3) to y*m**3 + a*m + r*m**4 + j + f*m**2 and give y.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11173921 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, a: 4, w: 4, z: 2, r: 5}. Give prob of sequence rozo.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.44 - -0.04. Let s = 8\/17 - 39\/119. Which is the closest to 0? (a) f (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5.4, 20, -3, 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 121, 23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/2*12\/(8 - 44). Put 3, h, -3, 1 in decreasing order.\nAnswer: 3, 1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 6:38 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 159821047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-258)\/3 + ((-1360)\/112 - -13)*224\/(-48).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**2 - 2*b**2 - 2*b**2 + (b**2 + 0*b**2 - 4*b**2)*(-20 - 19 - 20) + (b - 3*b + 4*b)*(-3*b - b + 2*b).\nAnswer: 174*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -1724?\nAnswer: -1723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3002 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15384 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6\/24149 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 371.8839 days?\nAnswer: 535512.816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120949 - 53615. List the prime factors of v.\nAnswer: 2, 131, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 17\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(2\/7))\/a*a*a**(-5\/9)\/a)\/(a**(2\/3))**(-22) assuming a is positive.\nAnswer: a**(970\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -635134.763 to the nearest one hundred.\nAnswer: -635100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + -21. Let t be (r\/(-3))\/((-2)\/(-6)). Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14857904 is divided by 2971570?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.2 (b) 3\/2 (c) 5\/3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(1\/58)\/((-82)\/(-41)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 181c?\nAnswer: 1819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1249 = 1251. Let i(r) = -4*r**2 - 2*r. Let j(u) be the first derivative of u**3\/3 + u**2\/2 + 45. Determine o*j(f) + i(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 57 = -i, 4*d - 149 = -3*i - 0*d. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bb (base 12) in base 16?\nAnswer: 8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, -40, -83, -140, -211, -296, -395?\n\"Answer: -7*v**2 - 8*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -222 and -0.1.\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 10 = 0. Let b(q) = q**2 - 4*q - 4. Let g be b(6). Suppose -2*l = -4*k - o*l + 20, g = 2*l. Solve 16 = y - 3*v, -v - k*v - 12 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 12*o**2 + 9*o + 13. Determine x(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 71\/7 - 22\/(-154). Put 1, -1, w, 5, 3 in ascending order.\nAnswer: w, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.29, -28, -0.7?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14*(0 + 1)*1. Suppose -a - 3*l + 9 = 0, -a - 4*l + h = a. Suppose a*s - 4 = 2*s. Solve 2*o + 2*o = r + 19, -o = -r - s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 15*c**5\/2 - 39*c**4\/2 - 3*c**3\/2 + 51*c**2\/2 - 6*c - 6 = 0?\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/5)\/((-1)\/(-35)). Suppose b = 3*l + 5*h - 39, -220 = -5*l + 4*h. Calculate the greatest common divisor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*p - 4*r + 5, 2*p + 20 = -4*r. Suppose -t + 3*m + 12 = -0*t, 3*m + 12 = p. Solve 2*i - 1 = 2*c - c, -5*i = t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 55 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {d: 4, y: 3, a: 1, x: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 8. Let a be d(7). Calculate the lowest common multiple of 18 and (2 - a\/5)*25.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 11, -1268 in ascending order.\nAnswer: -1268, -2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594658?\nAnswer: 2, 73, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3 = 3*b, c = 5*c - 5*b + 5. Let s = 8 - c. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**2\/2 - 2*z + 8. Let x be i(-5). What is r in 0 + 16\/9*r**x + 2\/3*r**4 + 14\/9*r**2 + 4\/9*r = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(2\/9)\/f)\/f*f)\/f*f)**0*f**(-3\/22)\/((f\/f**(-27))\/f))**(-8\/11) assuming f is positive.\nAnswer: f**(2388\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-11)\/(-3))\/11)\/(5\/(750\/20)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38028*o**4 + 158*o + 35 wrt o.\nAnswer: -456336*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 5:21 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -19*c + 54*c - 8*c - 26*c. Let a(p) = 3*p. Give -3*a(h) - 12*r(h).\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 0*s + 3*s)*(-3*s**2 + 0*s**2 + 2*s**2)*(144*s - 144*s + 5*s**2).\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6\/5 + 26 + -26.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*z. Let l(u) = -u + 7*u**2 - 4 + z + 3 + 31*u**2. Is l(-1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19 + -3 + 0 + 2. Suppose -75 - v = -3*b. Suppose -11 + b = 5*s. Let p(k) = -3*k - 4. Let m(x) = -2*x - 3. What is s*m(u) - 3*p(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, o: 5}. What is prob of picking 3 v and 1 o?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuhoovuhvhvuu. Give prob of sequence oo.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 560 = 2*x, 3*x - 7*a = -5*a + 816. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -314400\/26336461 - -44\/3877. Let v = l + 645463\/217376. Find the common denominator of v and 31\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from nvvnagnnvagngnvang.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4054 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - 4 - 1*2. Suppose -b - l - 7 = t, 3*l = 6*b - b + 11. List the prime factors of b\/18 - (-1395)\/81.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 679809?\nAnswer: -679805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 2. Let w be i(0). Suppose 0 = u - 3, w*q = -0*q - 2*u + 14. Suppose -q = -4*t - 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 360 = 2*u, 4*n - 175 = 3*u + 195. What is the units digit of 594\/26 - (-14)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -4*g. Calculate the least common multiple of 11 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-93)\/(-6) - 1\/(-2). Let p = d - 12. Solve -b = b + p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41230 and 12441485?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 1, f: 3, g: 3, c: 1, u: 2}. What is prob of picking 1 f and 1 a?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253 by 5.\nAnswer: -253\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38\/11 - -117\/88. What is the common denominator of g and 25\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 4. Let y(b) = b - 4. Let s(f) = 4*o(f) + 3*y(f). Let d be (-26)\/(-130)*(2 - -28). Calculate s(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 2*c = -1807. Suppose c = r + 3*z - 131, 0 = 4*r + 2*z - 1070. List the prime factors of r.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q**5 - 11*q**5 - 7*q**5)*(-1 - 2 - 5) - q**5 - q**5 + 4*q**5.\nAnswer: 74*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31334716 + -15334716. Round z to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 51*c**2 + 469*c + 55. Let o be l(-39). Solve o = -30*r - 74 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 42 = -j + 19, -5*k + 302 = 2*j. Does 12 divide k\/(-40) - 730\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k*s**3 - 7*k*s**2 + 2*k + 2*s**3 - 56*s wrt s?\nAnswer: 12*k*s - 14*k + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -97 + 121 - (0 - (3 - (6 - 4)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -310 + 1045315?\nAnswer: 1045005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-6))\/((-18)\/4). Let q = n + -2\/27. Let p = -7 + 4. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6469 = -4*u + 228, -2*c = -5*u - 12497. What are the prime factors of c?\nAnswer: 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 3*p**2 + 2 - 2*p**2 - 5*p + 7*p**2. Let n be h(-3). Let l = n + -29. Put -4, l, 5 in increasing order.\nAnswer: -4, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 1073.\nAnswer: 4292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2bbc8 - 2?\nAnswer: 2bbc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1026 divide 101792895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1740, -6933, -15580, -27675, -43212?\nAnswer: -62185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.53 and 896.5?\nAnswer: -475.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-2) + (-27)\/7 and (2 - (6 + -9)) + (-67)\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.57194892 rounded to one dp?\nAnswer: -78.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-1)\/7 - 20300\/(-2842). Solve -4*u + 15 = z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4256 + 238363\/56. What is the common denominator of -73\/34 and u?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2169.2 - 524. What is l rounded to the nearest ten?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -83573, -83742, -83917, -84104, -84309?\n\"Answer: -f**3 + 3*f**2 - 171*f - 83404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4599 + -4598.8083. Round y to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-49))\/((-2)\/7*4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57710 and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 43. Let a be (-1)\/(-4) + 11\/4. Put a, p, 0 in descending order.\nAnswer: a, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/12, 0.7, 2, 40?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-24\/5)*y*y\/(y\/((y\/(y**(24\/5)*y))\/y)*y)*y**15\/(y**(9\/5)*y) assuming y is positive.\nAnswer: y**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104684787.\nAnswer: 3, 11631643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2031033132 (base 4) to base 5\nAnswer: -122003101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119411\/198450 + 72\/1225. What is the common denominator of (-5)\/(-2)*(-33)\/(-5) and c?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/2 - (-1)\/(-2). Let n(s) = 4 + 13*s - 4 + 11. Let d(q) = 7*q + 6. Let i = -9 - -15. Calculate i*n(x) + r*d(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.1, -2\/87, 5 in decreasing order.\nAnswer: 5, 1\/2, 0.1, -2\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 14. Let x be (15\/(-30))\/((-1)\/i). What is the third smallest value in -0.4, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122 - -78. Let r = 36 + m. Let x(z) = -z**2 - 9*z - 5. Let y be x(r). Solve o = y*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 10 = -b. Let x(d) = -d**3 + 9*d**2 + 11*d - 12. Let w be x(b). Sort 4, -3, w in increasing order.\nAnswer: -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1337*x - 3 - 3549*x - 3)*(2*x - x - 4*x).\nAnswer: 6636*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -24*m + 26. What is c(5)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Suppose 10 = 4*x - 2. Suppose g - 3*g = -3*h - 6, 9 = x*g - 4*h. Let b(r) = g*r + 0*r + 2*r - r. Calculate b(z(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52378 is divided by 26183.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470788?\nAnswer: 2, 11, 33427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 7*j**4 - 3168*j**3 + 103535*j**2 + 125802*j - 640512 = 0.\nAnswer: -3, 2, 256\/7, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368097527?\nAnswer: 7, 52585361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*t - 0. Let s(r) = r**3 + 11*r**2 + 11*r + 4. Let d be s(-10). Suppose -34 = 53*g + 19. Sort g, d, t, 5 in ascending order.\nAnswer: d, t, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 7) + -6 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -324, -490, -722, -1020, -1384?\nAnswer: -1814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 50*y - 36, 0 = -5*m + y + 4*y - 16 - 14 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.874 - -1.126. Which is the closest to -0.037? (a) -4 (b) -2\/9 (c) f (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -0.2 (c) 2\/79 (d) 2\/7 (e) 5 (f) -35 (g) -0.295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 862, 1925, 3380, 5221, 7442, 10037?\nAnswer: 13000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1121 + 1?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 3*j = 0, -16*j - 30 = -2*j - 0*j + 26 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656022414.\nAnswer: 2, 3, 109337069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -44. Suppose 5*a = -5 + k. Solve y = -a + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {e: 6, b: 3, t: 2, g: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - (22 + -8 + 4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - x**4 + 4 + (0*x**4 + 2*x**4 - x**4)*(15 - 14 - 16) to a + c*x**4 + s*x**3 + f*x + l*x**2 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 28 = -3*u + 7*u + 16*n, -6 = -2*u - n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/2 + 2\/4. Suppose -h - l = -3*h. Suppose -15 + h = -3*z. Sort 1, z, -2\/15.\nAnswer: -2\/15, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 25. Let o(k) = 5*k**2 - 8*k. Let a(p) = 2*p**2 - 3*p. Let x(n) = l*a(n) + 3*o(n). Let b(g) = -4*g**2. Determine b(x(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17287140.\nAnswer: 2, 3, 5, 13, 37, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 31.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -11)*(-6)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941627 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-36)\/144)\/((-2)\/(-25))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**3 + 4*r**2 - 4*r**2)*((-4*r + 3*r + 3*r)*(3 + 0 - 1) + 3*r - r - 3*r + (1 - 6 + 3)*(0*r - 2*r + 4*r)).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 100536781357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -15*f + 1. Let n be o(-1). Suppose 0*c = -4*c + n. What is the smallest common multiple of c and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/30)\/(4\/6). Suppose 0*i - 4*i - 3*z + 32 = 0, -29 = -5*i - z. Suppose -3*b = -i*b - 2, 5*b - 23 = -f. Which is bigger: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8. Suppose -25 = 5*t, t = -3*v - k*t - 5. What is the units digit of 1\/(v + (-3)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1162103, 2323264, 3484425, 4645586, 5806747, 6967908?\nAnswer: 8129069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13657*i - 13463*i = 1552 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 184*g - 121*g - 138*g + (2*g - 2*g + g)*(-1 + 0 - 2).\nAnswer: -78*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 179379185 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 10*f - 25. Let w be u(-13). Calculate the greatest common factor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1212625 to two decimal places.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 141405 and 605?\nAnswer: 1555455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68682342 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - b - 4. Let u = 46 - 51. Let c be (10\/(-6) - -1)*72\/(-16). Let v(k) = k - k**2 - 5*k**2 + 6 - 2*k + c*k. Determine u*v(g) - 8*a(g).\nAnswer: -2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 297, 475, 653, 831?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-354)*3184\/(-1194))\/(6\/(-3)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268 a factor of 289635204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -117.7, 37, -1\/4, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 10*r**2 - 14*r + 2. Let p be n(-11). Let j be (-267)\/(-105) - (-1 + p\/25). Let m = j + -19\/7. Is m smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-114)\/(-8))\/(264\/(-176)))\/((-7 - -2)\/10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61785587 - 0.4?\nAnswer: -61785587.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/7 + 86*j**4 + 19368*j**3\/7 + 161190*j**2\/7 + 142425*j\/7 = 0.\nAnswer: -15, -1, 0, 633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/7)*j**(-3\/4) assuming j is positive.\nAnswer: j**(-17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 6881718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -6. Is -1*(s - (2 - -33)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10618 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 122226599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 0*f = f - 5, -b + 13*b - 2*f - 14 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84293573 and 2821.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/16 - -5\/16. Which is smaller: x or 10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1182851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/14*2\/(-3). Suppose 0 = -7*f + 20*f - 13. Suppose -168*u = -169*u + f. Is a >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -1. Let t = 10 + -10.15. Let h = 0.15 + t. Which is the nearest to h? (a) 0.4 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -9 - 8*z + 9\/2*z**2. Differentiate a(f) wrt f.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x + 885. Let b = -89 - x. Let o = b + -53. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 - 307 = -14*w - 531. What is the highest common factor of w and 2049?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 z when four letters picked without replacement from ccczczzc?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + 3*sqrt(1300)*-1 + sqrt(1300) + -1).\nAnswer: -20*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 79110 divided by 4395\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -60 + 52 + 2*m**2 + 42 - 5*m**2 + 42*m. Let o(a) = -a**2 + 14*a + 12. Let v(g) = -17*o(g) + 6*y(g). Find w such that v(w) = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/72*-3 + (-44)\/96\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:30 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**4 - 24*q**2 - 5*q. Let i(o) = 3*o**4 + 12*o**2 + 2*o. Let j(b) = -2*f(b) - 5*i(b). What is the third derivative of j(h) wrt h?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 7*y - 80. Let h(f) = -f**3 + 17*f**2 - 17*f + 18. Let a be h(y). Let -5*i - 10*i - i**a - 3 + 11*i = 0. Calculate i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 8:51 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 (base 15) in base 16?\nAnswer: -e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**2*q - 4*p*q + 4058*p - 234*q - 102 wrt p?\nAnswer: -2*p*q - 4*q + 4058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/1328710 and -36\/6095.\nAnswer: 1328710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvrrrrrr. What is prob of picking 2 r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 259 + -254. Let h be (10\/(-25))\/((-1)\/90). Suppose -2*j + h = 4. Solve -m + w*m = j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-72)\/(-32) + -1 + 6\/8. Suppose l*t = -5*p + 78 + 46, 0 = -3*p + 2*t + 84. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 2\/13*c + 2\/65*c**5 - 5 + 1\/13*c**4 - 1\/39*c**6 - 4\/39*c**3 - 1\/13*c**2. Factor q(i).\nAnswer: -2*(i - 1)**3*(i + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 7. Give b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 4*z**2 - 108*z + 751. Let g be l(9). Solve g*j + 35 = 191*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from eheerenhiehq?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 728229697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j = 72. Let q(w) = -16*w**2 + 17*w - j + w**3 - 8 + 7. What are the prime factors of q(15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30476 + 31466. What is the highest common divisor of 1122 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -260147, -1040451, -2340913, -4161527, -6502287, -9363187, -12744221, -16645383?\n\"Answer: t**3 - 260085*t**2 - 56*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290837017.\nAnswer: 67, 389, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -808*y**2 - 806*y**2 - 1400*y**2.\nAnswer: -3014*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 515545637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 708 and 175548?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 202 + -141. Let t be 6\/27 - y\/(-9). Let b = -8 + 11. Solve -b*k = t + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1961 - -2020. Sort x, 1, 3, -2.\nAnswer: -2, 1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106.5+245\nAnswer: 351.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 20 = -7*x - 5*b, 0 = -3*b - 9. Let r be x\/(-2)*102\/(-119). Suppose 2*m = y - 57, -2*m - 2*m - 175 = -r*y. What are the prime factors of y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -c - 3, 5006*j - 5003*j = -4*c - 58 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -439351 + -30?\nAnswer: -439381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.266, -0.76, 2\/3?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - i**3 - 2*i**3)*(-2*i - 5*i + 3*i) + (-11*i + 12 - 21 + 8)*(i**3 + 0*i**3 + i**3).\nAnswer: -14*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18650 is divided by 311?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(-2*sqrt(1200) + sqrt(1200)))**2.\nAnswer: -6000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 23*v**3 + 41*v. Let t(z) = -12*z**3 - 19*z. What is 4*a(x) + 9*t(x)?\nAnswer: -16*x**3 - 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5666380 to the nearest integer?\nAnswer: 2380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 12 = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*f = -3, -2*f = y - 2 + 16. Let m = -869 + 869. Put m, y, 3 in decreasing order.\nAnswer: 3, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - 2 - (-11)\/((-154)\/72). Let h = -576 - -578. Which is the third smallest value? (a) r (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d - 21*d - 20 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -29*t + 38. Let o(g) = 86*g - 115. Let w(f) = 11*d(f) + 4*o(f). Differentiate w(u) wrt u.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -227*j**2. Let n(q) = 179*q + 1. Determine p(n(s)).\nAnswer: -7273307*s**2 - 81266*s - 227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11096338, -11096340, -11096344, -11096350?\nAnswer: -11096358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*t - 72 = 0, -40 = 3*z - t - 174. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 14 = -2*a + 685, -a + 343 = -4*n. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -4*c + 128, 258*l + 4*c = 262*l + 116 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - w = -2, 39 - 11 = -5*m - w. Which is the second biggest value? (a) m (b) -1.3 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 + -80. Suppose 0 = 2*l - 14 - f. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -76\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44553, 89418, 134289, 179166, 224049, 268938, 313833?\n\"Answer: 3*a**2 + 44856*a - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -10 - 997*g - 135*g + 18 - 108300*g**3 + 74480*g**2 - 400*g = 0.\nAnswer: 1\/95, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-22))\/((-51)\/(-374))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 19*o**3 + 41*o**2 - 58*o + 9. Let x(k) = -9*k**3 - 19*k**2 + 28*k - 4. Determine -6*g(w) - 13*x(w).\nAnswer: 3*w**3 + w**2 - 16*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*o - 1. Suppose o*s = 5 + 1. Suppose 2*d = s + 2. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/808 and 17\/1175088.\nAnswer: 118683888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88335532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 188678160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4. Let y(p) = 66*p + 34. Determine -8*u(t) - y(t).\nAnswer: -66*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(20\/(-12)) + -1. Let b(h) = 2*h**2 + 8 - h**a + 0*h**2 + 13*h**2. Let x(r) = -9*r**2 - 5. Suppose 3*i + 1 = -23. Calculate i*x(y) - 5*b(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -45*q**2 + q + 1. Let f be k(1). Let u = 42 + f. Let l = 307\/3 + -103. What is the closest to u in -2\/9, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 409 - 700. Let d = 493 + i. List the prime factors of d.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u - 14217 + 7094 + 7060 as i + h*u and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - k + 3. Let n be p(0). Factor -2 + 0 + 2 + 20*h**2 - 4*h - 25*h**n.\nAnswer: -h*(5*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2. Let i(t) = 218 - 218 + 11*t. Determine i(u(g)).\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 4*v + 1. What is the lowest common multiple of s(7) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 7) to base 2.\nAnswer: -101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/8, 6, 0.4, -0.5, -5, -0.1 in increasing order.\nAnswer: -5, -33\/8, -0.5, -0.1, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312 and 204?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -157*i - 117*i + 6425018 + 5082982. What is the ten thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 21, 34, 55, 90?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/3 - 130930*j**3\/3 - 734787844*j**2 - 1999495508032*j\/3 - 3990174609344\/3 = 0. Calculate j.\nAnswer: -32252, -959, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -14 + 4. Suppose -4*r + d*o - 84 = 0, -5*o = -r - o - 28. What is the units digit of 15\/r - 94\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9610 - -20068. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -208 + 317. What is the remainder when a is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -307, -826, -1597, -2620, -3895, -5422?\nAnswer: -7201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 22 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*c - 3. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**2 + 4. Let h = 4769 - 4763. Let f be 1\/(1*(-2)\/34). Let j(d) = -23*d**2 + 11. What is f*k(c) + h*j(c)?\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14494379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10585 (b) -4\/9 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56\/5*p - 2\/5*p**2 - 104\/5.\nAnswer: -2*(p - 26)*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 412, 923, 1638?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2273937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -128, -254, -380, -506?\n\"Answer: -126*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1540 divided by -385.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 45 = -3*y. Suppose 0 = -2*v - 5*d - y, 4*v - 6*v = -d - 9. Find the third derivative of 3*k**3 + 4*k**v + 3*k**2 - 5*k**2 - 5*k**3 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/56)\/((-204)\/119).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 405390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 21*f - 43. Let w(h) = 4*h**2 + 43*h + 86. Let d(a) = -7*j(a) - 3*w(a). What is the units digit of d(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66\/(-36) - -2 - 178\/(-12) and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9.82, 0.2, -4, -3\/5, -0.1, 0.04, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 - 4*h - 208\/11.\nAnswer: 2*(h - 26)*(h + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from memxkeemkemkccmzkcex.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -715*-0.05347.\nAnswer: 38.23105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2eca (base 15) to base 6\nAnswer: 114414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 8:26 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137212014 divided by 22868669.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -4*f + 22. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4960 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249404557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-8)\/3)\/(-4) + (-74)\/111)\/2. Suppose 0 = -5*q - 3*r + 119, -2*r = 3 + 1. Suppose -q = 5*g - 5. Put 2, c, g in increasing order.\nAnswer: g, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 295\/38 - 24\/19. Calculate the common denominator of 21\/11 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 696348 and 27048?\nAnswer: 68242104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/18)\/((-4)\/396). Is 2\/6*k - -2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (638 + 438 + 657 + 18 - 215 + 357)*(5*f**3 + 358*f**2 - 358*f**2) to c*f + j*f**3 + k*f**2 + w and give j.\nAnswer: 9465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*q = 7, -5*q + 8 = c - 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605.345 minutes in hours?\nAnswer: 26.75575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60 in -1\/12, 2\/13, -2\/11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22854 - 134?\nAnswer: -22988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/7)\/((-39)\/(-819)). Let o(u) = 6 + 8228*u**2 - 3*u - 8220*u**2 + f*u - 1. Let j(k) = k**2 + k + 1. Let i = -4 - -3. Calculate i*o(t) + 5*j(t).\nAnswer: -3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/(-6))\/(40\/72).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24789.8854 - -24762.9. Let t = 159.2 + -186.2. Let w = q - t. Round w to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from oooioooioooiiiiooio.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002059512507 to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(11\/5))\/a*a**9*(a*a**(-5)*a)**(1\/9) assuming a is positive.\nAnswer: a**(112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u + 1. Suppose -u*c = -5*c. Suppose -8*d + 4*d + 48 = c. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + (-18)\/(-15))*5. Find the common denominator of 2\/(-7) - 1532\/616 and (-119)\/(-24) + x\/(-6).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1184, 1, 20, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 842 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1296.4 and 9.\nAnswer: -11667.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25960225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5174, -10351, -15528, -20705, -25882?\n\"Answer: -5177*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -2*n. Let s be 1\/(15\/n + -2). Suppose -24 = -s*w + w. 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 the fourth biggest value in 5, -2, -2\/11, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401682082 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, w: 2, p: 3}. What is prob of sequence wp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 314.85 + -315. Sort -1\/8, -2, w in descending order.\nAnswer: -1\/8, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: What is the value of (2173\/246 + (-18)\/2)*1215\/(-54)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + b367b44?\nAnswer: b367b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d + 10 + 2*d**2 + 2 + 38*d**3 - 3*d - 107*d**3 - 11 to u*d**3 + o*d**2 + g*d + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-14)*14\/18. Let h = 11\/12 + d. Which is the third smallest value? (a) -0.1 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(75) + sqrt(75) + 1 + 1)**2 - (4 + (sqrt(75) - ((sqrt(75) - (-4*sqrt(75))**2) + sqrt(75))))).\nAnswer: -2700 + 135*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 5202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/5)*g*(g**(-2\/11)\/g)\/g*(g\/g**(3\/7))\/g**(2\/19) assuming g is positive.\nAnswer: g**(-6698\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-168)\/27 - -6)*-3. Factor n*u**2 + 2\/3*u + 0.\nAnswer: 2*u*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:34 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 858 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)\/(sqrt(33)\/sqrt(3) + sqrt(11)) - (sqrt(153) + -1))*-4)**2.\nAnswer: -80*sqrt(17) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1. Let i(w) = w**2 + w + 1. Let l(c) = -3*c**2 - 5*c - 2. Let m(b) = 5*i(b) + l(b). Let t(v) = -m(v) + 6*y(v). What is the derivative of t(q) wrt q?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341022 is divided by 113586.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 174\/17 in 1, -3, 20\/451, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9745 rounded to 2 dps?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -350.45.\nAnswer: 350.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 103.443.\nAnswer: 517.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 51*o - 696. Determine x(-14).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - 3*m**2 - m + 2. Let s be t(2). Suppose 5 + 10 = 5*f, -6 = -s*a + 2*f. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1211993?\nAnswer: 991, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((-6210)\/4725)\/(4\/(-50)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 202, -3, 5.\nAnswer: -3, 0, 3, 5, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baj when three letters picked without replacement from jabaajbabaabab?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*t + 2129 = 2102, j - 2*t - 27 = 0. Solve 45*h + 11*h = j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 36*r**2 - 151*r - 1710. Does 102 divide w(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1960898?\nAnswer: 2, 980449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 77 = -5*q, 1 = -2*x - 4*q + 83. Suppose 3*u - 12 = 0, -i + u + 2*u = -x. Calculate the remainder when i is divided by (1 - -11)*8\/6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66881, 66866, 66841, 66806, 66761, 66706?\nAnswer: 66641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*l - 19. Suppose 5*a - h = -5*h + 555, -333 = -l*a - 2*h. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11523\/7580 - 4\/1137. Find the common denominator of o and 101\/22.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -91, -138?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -432*p**2 + 6*p - 7. Let v(f) = -436*f**2 + 5*f - 6. Calculate 6*g(u) - 7*v(u).\nAnswer: 460*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5273 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**3 - 2 - t**3 - 11*t**3 + t - 9*t**4 + t**2 + 6*t**3 to the form g*t + k + n*t**4 + b*t**3 + p*t**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34144 + 53145. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -2\/5 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b. Let y(z) = -1. Calculate l(c) + 3*y(c).\nAnswer: -4*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -z - 10*v + 34, z = 3*v + 106. Calculate the remainder when 1142 is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66405 (base 8) to base 6.\nAnswer: 333113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43037040 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7\/14 - (-3)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*(4\/2 + -1). Suppose -25 = 5*m - q. Let k(h) = h**3 + 5*h**2 - h. Let i(o) = -3*o**2. Let a(r) = m*k(r) - 5*i(r). Find d such that a(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39732 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44b - -5?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2573592 to the nearest integer?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 31*l + 68 + 324 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28591 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tihititviviiiihkivi. Give prob of picking 1 t, 1 h, and 1 v.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7126 is divided by 132.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 2*d = 3*m + 11, -135 = -3*d + m - 113 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -35 + (-5662 - -5630).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d1bd - ab?\nAnswer: 4d112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t - 5. Let n be r(9). Let i = n - 25. Let b be 3\/i + 22197\/15. Round b to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 94, 318, 756, 1480?\n\"Answer: 12*y**3 - y**2 + y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6713 + 3466*o + 1019*o + 13422 - 6709 to the form r + j*o and give j.\nAnswer: 4485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53862.\nAnswer: 2, 3, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 449846858?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 7:20 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/238*(-12)\/(-45).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 + 11*w - 2. Let c(h) = h**2 + 4*h - 1. Let i(r) = -8*c(r) + 3*l(r). Is i(3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 t, and 2 p when four letters picked without replacement from ttptttttptttttttattp?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - 0)\/((-22 - 4\/(-1)) + 17)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, -75.9.\nAnswer: -75.9, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*i*m**3*v + 2*i*m**3 + 498*i*n**2*v - 4*m**3*n**2*v + 2*m**3*n - 4*m*n*v - 190*n*v wrt i.\nAnswer: 4*m**3*v + 2*m**3 + 498*n**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205 divided by 205.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 + 860*f + 1491. Give a(-285).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + w + 107. Determine y(18).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53785 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 0 + 2*n + n + n**2 - 1. Let x be s(4). Suppose p + 2*p - x = 0. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*m + 97*m - 92*m)*(1 + 6 - 1).\nAnswer: 558*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -466 + 5537?\nAnswer: 5051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -18, 2\/49, 3\/23, -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 p, and 2 h when four letters picked without replacement from {h: 1, v: 3, p: 1, j: 1, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 592068576 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + (0 + sqrt(1300))*1)*4*-4*-5)**2.\nAnswer: 768000*sqrt(13) + 8550400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (949*s - 949*s - 47*s**3)*(58 - 268 + 88 - 628) as f + j*s**2 + y*s + h*s**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*i - 2*g, 3*i + 21 = -2*i + 2*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3675\/(-400))\/((-469)\/134)?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 195 - 191. Solve 0 = -2*l - 3*d + 4, o*l = -0*d + 2*d - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11891*b - 1315*b + 2966*b.\nAnswer: -10240*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a4 - -5?\nAnswer: -59b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/((w\/((w*w\/w**38*w)\/w*w*w*w))\/w*w))\/w)*w\/(((w\/(w\/w**(2\/35)))\/w)\/w*w))**(-26))**(-5\/9) assuming w is positive.\nAnswer: w**(11206\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -33. Let h(p) = p + 6. Let n be h(-7). Let w = 3 - n. Calculate the highest common factor of g and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31789289 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*a**2\/2 - 47*a\/2 + 20.\nAnswer: (a - 1)*(7*a - 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 139*j - 279.\nAnswer: (j - 2)*(j + 558)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c + 2022. Let j(r) = 2*r**2. Determine j(q(l)).\nAnswer: 18*l**2 - 24264*l + 8176968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 1579 = -1741 + 5346. What is the remainder when 614 is divided by w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -69, -158, -283, -444, -641?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g - 6. Let y(i) be the second derivative of 11\/2*i**2 + 0 - i + 19\/6*i**3. Let u(l) = 11*j(l) + 6*y(l). Let c(a) = 2*a. Determine c(u(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39955.\nAnswer: 5, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 5*j + 7*j - 1.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5403120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 13*x**2 - 5*x + 72. Let a be y(13). Sort 2, 5, a in descending order.\nAnswer: a, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16d (base 15) in base 9?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:39 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 4, z: 6, v: 2, j: 2}. Give prob of sequence ovvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 200?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 + 41. Let k be -3*1*p\/(-6). Let v be (8\/(-2))\/(14\/k). Solve 4*h - 5*u = 16, 3*h + v = -2*u - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 p, and 1 e when three letters picked without replacement from peozoov?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1950026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 441*a**2*n**2 - 47*a**2*n - 44*a**2 + 2*a*n**2 - 2*a - 3*n**2 wrt n.\nAnswer: 882*a**2 + 4*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17561571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from {z: 1, h: 12, c: 5}.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 1343022?\nAnswer: 12087198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 652816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132300 - 34?\nAnswer: 132211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 27 = 2. Suppose -3*p - 2 = 2*s, 3*p = -j*s - 9 - 5. Let i(d) = 8*d - 182. Let l be i(23). Solve -v - l - p = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68577599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132207, -528741, -1189601, -2114787, -3304299, -4758137, -6476301?\nAnswer: -8458791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 266015 and 0.03.\nAnswer: 7980.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.5 (b) -33 (c) 2\/11 (d) 0 (e) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -326*u**2 + 0*u + 72*u**2 - 386*u**2 + 0*u to l + s*u**2 + k*u and give s.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -99, -478, -1115, -2010, -3163, -4574?\n\"Answer: -129*z**2 + 8*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**4\/3 - 25*h**3\/3 + 19*h**2\/3 - 2*h\/3.\nAnswer: h*(h - 2)*(h - 1)*(8*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36216 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -860 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 43 = -57. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 7. Let s be ((2 + f)*-1)\/(-1). Put -3, -1, s in ascending order.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1317333 and 1317346 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4096 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*l - 3. Let n(u) = u - 7. Let z be n(l). Let o(c) = 2*c**2 + 47*c - 70. Let i be o(-25). Sort i, 0, -2, z in decreasing order.\nAnswer: i, 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**2 - 8*u**2 - 47*u**2 - 19*u + 19*u + 2.\nAnswer: -39*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/12)\/((-635)\/(-25908))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23754, 23755, 23756?\n\"Answer: r + 23753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -768, -1065, -1362, -1659, -1956, -2253?\n\"Answer: -297*b - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -200 + 227 - 62 - (-85 + -1)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 - 1 - (1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxcxxxxxxe. What is prob of picking 1 e and 1 x?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 1. Let l(d) = 49*d - 3. Calculate -l(y) - 6*o(y).\nAnswer: -37*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -10 - (-8361 + 8373)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 1, 14, 5, 4 in decreasing order.\nAnswer: 14, 5, 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177165 is divided by 603.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7439, 2, -25.\nAnswer: -25, 2, 7439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 429349 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4 - 56*h**3 + 108*h**2 + 296*h - 352 = 0 for h.\nAnswer: -2, 1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2.3, -3, 7, 4?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 2365?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6586 divided by -89.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479 + 325 = 22*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 28.44112 centuries?\nAnswer: 2.844112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 585\/37?\nAnswer: 585\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1806979*i**4*v**2 + 61132*i**2 + 2*v**2 - 7 wrt i.\nAnswer: -43367496*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*f - 78 = 426 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 674*y**2 + 16. Let c(i) = 447*i**2 + 11. Calculate 7*c(f) - 5*d(f).\nAnswer: -241*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201220302 (base 6) to base 16.\nAnswer: 343f8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1364242 divided by -11\nAnswer: -124022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, b: 3, z: 1}. Give prob of sequence hhz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -361, -63 in descending order.\nAnswer: 17, -63, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 17*m**3 - 24*m**2 - 55*m - 46. What is z(-3)?\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (10 - 9432\/945)\/((-1)\/138*-256) and -87\/1120.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 2*m**3\/3 + 5*m**2\/2 - 8*m. Let g be k(3). Let i(j) = 2*j + 33. Does 24 divide i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20800, 19254, 17708, 16162, 14616?\nAnswer: 13070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -29, -3, 3, -5, 1, -1 in descending order.\nAnswer: 3, 1, -1, -3, -5, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53047945 to the power of 1\/2, to the nearest integer?\nAnswer: 7283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0)\/((-5)\/(-3) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 7:35 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 5*g**2 - 7*g - 2. Calculate the smallest common multiple of l(-6) and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170 + (-119 + -4 - 16).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1775 and 319825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, e: 7}. What is prob of sequence eue?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2. Let p(m) = 3*m + 1149. Determine p(k(t)).\nAnswer: -3*t**2 + 1149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 24 = 4*m, 480*m + 52 = 476*m - 3*s for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448570 is divided by 96571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 6*b**2 - 10*b**2.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 340*z + 187. Let p(v) = -11*v - 6. Let l = 2763 + -2950. What is l*p(k) - 6*f(k)?\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 170*w**3\/3 + 66. Let i(o) = -o. Calculate i(z(j)).\nAnswer: -170*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 41*t**2 - 38*t**2 + 4)*(27 - 24 - 1383*t**2 + 1321*t**2).\nAnswer: -186*t**4 - 177*t**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 16*v + 12. Let z(h) = -h - 1. Let y(i) = c(i) + 12*z(i). Let q(g) = 7*g + 1. Let m = 9 + -6. Let s(x) = m*q(x) - 5*y(x). Calculate s(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62017589*m**4 - 63996728*m**2?\nAnswer: 1488422136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -6. What is the units digit of 2 + (-5 - s) + 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.041+-480\nAnswer: -479.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2746*i*j + 5079*j wrt i.\nAnswer: 2746*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 285 + 4\/(-16)*0. Let t(i) = i**3 + 18*i**2 + 67*i + 10. Let u be t(-8). What is the highest common divisor of u and h?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p*p\/((p**4*p)\/p))))\/p)\/p)**(21\/5)*((p**(-1\/9)*p)\/p*p)**(2\/7) assuming p is positive.\nAnswer: p**(-5212\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 15*s + 26. Let y be (-1)\/(-2) + ((-108)\/(-8) - -1). Let q be b(y). Suppose q = -p + 28. Solve f - 3*f = -p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 551 + 3?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3678)\/(-16) - ((-115)\/(-40) - 3) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1840*q**2 - 828*q - 828. Let v(t) = -2*t**2 + t + 1. Determine 2*d(n) + 1656*v(n).\nAnswer: 368*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*o - 22, -8*o + 7*o - 8 = -2*z. Suppose -z*i = 5*b - 16, b - 6*b - 2 = -4*i. Solve 0*x + 9 = i*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {d: 7, a: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 221909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 860.1911 rounded to 1 dp?\nAnswer: 860.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4)*(-552)\/(-23))\/(-6*65\/20)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 4*v**2 - 4*v**2 + 0*v**2 + 0*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1982748233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, f: 6, y: 2, x: 5, c: 1, z: 1}. Give prob of picking 2 f and 1 c.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -d7bec (base 16) to base 15\nAnswer: -126c7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k + 31. Let c(z) = 16*z + 95. Determine 6*c(r) - 17*j(r).\nAnswer: -6*r + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/4 - 4\/(-16). Let c = 247\/15 + -799\/60. What is the common denominator of c and (-57)\/(8\/(w\/(-2)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 85*y - 3671. Give q(47).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*l**2*p*q**4 + 8*l**2*p*q + l**2*q**2 + 74*l*p*q**3 - 2*l*p*q + 11*p*q**2 + p*q - 2*q**4 wrt q?\nAnswer: 408*l**2*p*q + 444*l*p - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - 3*i + (1 - 5 + 1)*(1 + 4*i - 1) - 5 - 2*i + 5 + 2*i - 2 + 2 to the form d*i + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*v - 269970 - 474065 = 0, -3*v = -3*x + 744063. Let u = 1920017 - x. Round u to the nearest 10000.\nAnswer: 1670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + l)*(-1051 + 1051 - 46*l)*(-71 + 32 + 30).\nAnswer: 414*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72637749 to the nearest integer?\nAnswer: 8523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*z + 7 - 57, -2*z + 2*b + 40 = 0. Solve -4 = -z*w + 18*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9168 or -5151?\nAnswer: -9168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n + 15. Let z(f) = -f - 8*f + 17*f - 8 - 4*f. Calculate 6*s(j) + 11*z(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 81*k + 603 = 0. Calculate the remainder when 954\/12 + 2\/(-4) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-14 - -6 - 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, b: 5}. Give prob of sequence bz.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 0*t**3 - 5*t + 6*t**2 + 0*t**3 - 2. Suppose 14 = f + 4*p, 3*f = 5*f + 5*p - 31. What is the remainder when f is divided by i(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 3*x**5\/5 - 8*x**3\/3 - 9. What is the third derivative of i(w) wrt w?\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 996792283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*g + 5*b, -b + 3*b + 2 = -5*g. Suppose -w = -g + 4. Let l = 6 - w. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 215611 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -427531, 4, 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11)\/i**(-26))**(-16) assuming i is positive.\nAnswer: i**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 3*u**2 + 2*u + 4. Let k be j(-3). Is 6\/7 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least 160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*i + 262, 6*i - 516 = -2*t + 2*i. Suppose -5*n - 7*x + t = -3*x, 5*x = 25. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/5 - 1186*l**4\/5 + 31742*l**3\/5 - 57574*l**2\/5 - 31744*l\/5 + 11752 = 0 for l.\nAnswer: -1, 1, 2, 26, 565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227151146*o**2 - 61*o**3 - 227151146*o**2 - 5.\nAnswer: -61*o**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 18*o - 3*h = 70, -4*h = -2*o + 74. Solve -10 = o*m - 24*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 5. Let v be (-10)\/w*(-12)\/10. Suppose -24 = -4*y + 3*f + 88, 5*f - 113 = -v*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxlz when four letters picked without replacement from ppxpppppllpzppxpxlz?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 - -2.6. Round x to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - r - r = 54, -5*r - 104 = -2*c. Let x = c + -44. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 68\/55, 45.39, 3\/7, 4, 1 in decreasing order.\nAnswer: 45.39, 4, 68\/55, 1, 3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(2))\/sqrt(3)*1)\/(sqrt(245) + (sqrt(245) - (4*sqrt(245) - sqrt(245))*-3)).\nAnswer: sqrt(2)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j + 27. Let o be g(8). Let f = o - -30. Is f greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5432*c - 5401*c + 10846*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/2 - 5*k**3\/2 - 2*k**2.\nAnswer: -k**2*(k + 1)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)\/(sqrt(24)\/(sqrt(12)\/sqrt(2))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0 = 3*b + 161, 6 = 2*b. Calculate the remainder when 135 is divided by d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141ee (base 15) in base 9?\nAnswer: 1485218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 356817817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146.5 + 146. Sort o, 27, -2 in increasing order.\nAnswer: -2, o, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-140)\/(-100) - (-2 - 7\/(-5)). Let y(t) = -344*t**f + 173*t**2 + 170*t**2 - 7*t - 6. Calculate y(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 35709125*j.\nAnswer: -5*j*(j - 7141825)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -3de?\nAnswer: 3d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -133?\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + sqrt(40)\/sqrt(4))*-1)\/(sqrt(2)*2*-6) + -4 + (sqrt(245)*-3 - sqrt(245)) + -5.\nAnswer: -167*sqrt(5)\/6 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 6 + (12 - (-8 - -2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j - 509 = -5*w, 3*j + 109 = w. What is the highest common factor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34272 divided by -4.\nAnswer: -8568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 6*r + 2. Let m be h(3). Let t = 20 - m. Suppose -3*o = -y, 4*y + o + 0*o - 26 = 0. Calculate the remainder when t is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20413 (base 7) to base 9\nAnswer: 6774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379130580?\nAnswer: 2, 3, 5, 2106281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -111.8 and -29.67079.\nAnswer: -141.47079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11314299497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-6 + (24 - 24 - (4 - -44)))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1102 divided by -4.\nAnswer: -551\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 divided by -13?\nAnswer: 306\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.163627 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-9 + 42\/6). Sort g, -3\/4, -100.\nAnswer: -100, -3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 32*h**4 + 93*h + 9*h**4 + 17*h**4 as r*h + x + m*h**4 + u*h**3 + b*h**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n + 16. Let w be s(-2). What is the biggest value in -1\/7, 65, w?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 7. Let r(k) = -6*k - 2. Let p be r(-1). Sort s, p, 5 in descending order.\nAnswer: 5, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y**2 + 5*y**2 + y**2)*(45 - 3 + 15) + 2 - y**2 - 35 - 8 in the form r*y + o*y**2 + k and give k.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/(-1))\/((-48)\/((-42)\/(-7))). What is the fourth smallest value in 0.2, -2\/3, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4 = -16. Suppose 24 + d = 4*c. Suppose 0 = 4*p - c - 1. Which is smaller: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*b**2*p - b**2 + 27*b*l**2 - 92*b*l*p - 7*b*l + 2*l**2*p - 2*l**2 wrt p?\nAnswer: -12*b**2 - 92*b*l + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -19, -6 in increasing order.\nAnswer: -19, -6, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from nnqqilt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30.8 - -25. Let v = w - -2.6. Let z = 3.245 + v. What is z rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 1223313?\nAnswer: -1223210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 + 50*p - 42*p - 7 - 2 + 2 - 2*p + (-1 + 3 - 1)*(2*p - 4*p + 0*p).\nAnswer: 4*p - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70 - -71) + 0 + (-3 - (-1 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 5)\/((-2)\/(-24)). Let l = -6 + f. Suppose 185*z - 182*z - 15 = 0. Solve y - z*y + l = 2*k, 4*y + 4*k - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81853997 to the power of 1\/3, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 3*a)*((-3 - 1 + 8)*(5 - 4 - 3) + 8 + 0 - 20).\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -72, -729, -2488, -5895, -11496, -19837, -31464?\n\"Answer: -91*o**3 - 5*o**2 - 5*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -89825 divided by 2?\nAnswer: -89825\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -19*b**6\/120 + 13*b**5\/60 + b**4\/6 - 3*b**3\/2 + 31*b**2. Let u(m) = -9*m**3 + 6*m**2 + 2*m - 4. Calculate 6*q(w) - 13*u(w).\nAnswer: 3*w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38704 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j\/j**(-1\/6))\/j))**(-7\/4)\/(((j**10*j*j)\/j)\/j**(-9)))**(-9) assuming j is positive.\nAnswer: j**(1671\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4071 (base 11) in base 14?\nAnswer: -1d7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001524 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 4*v + 9. Let u be s(-4). Let p = -23 - u. Let i be 6\/3 - p - -2. Let a(y) = -5*y + 5. What is a(i)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 12*x + 23*x - 12*x)*(-5*x**3 + x**2 + x**3 + 5*x**3).\nAnswer: -x**4 - 2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -236\/3934529 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1509 and 12422591?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.8, -0.07, -1\/7?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 16*t**2 - 18*t + 23. Let v be u(17). Let n be v - 4*(2 - 1). Suppose 20 = 3*k - 5*q - 13, -n*q - 18 = -2*k. Solve 0 = -4*w - 10 - k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikii when four letters picked without replacement from kvikiiididiv?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875) + sqrt(875) + sqrt(875)*1 + sqrt(875) - sqrt(140)*-2)*-1)\/(sqrt(567)\/(2*sqrt(324) - sqrt(324))).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 68*d - 71*d = -7575, 0 = -4*k + 3*d + 10135. List the prime factors of k.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162215680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (107\/(-4) - -13).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1020 - -1029. Solve 3*u + 11*x = r*x + 9, 2*x + 6 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*(2 - (-68)\/(-32)). Calculate the greatest common divisor of 11 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kve when three letters picked without replacement from {e: 2, k: 3, i: 6, l: 1, v: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Let s = -18 - -14. Let b = m + s. Solve 2 = 2*x - b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.201392136 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1363, -4239, -9031, -15739, -24363, -34903, -47359?\n\"Answer: -958*c**2 - 2*c - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:36 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 5, -4, -1 in increasing order.\nAnswer: -6, -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/((-2)\/(-5))*((-4588)\/(-31))\/37\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 2535881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 4:42 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/50*(-15)\/(-6). Let f = -20 + 38. Let k be -9 - -7 - f\/(-8). What is the third smallest value in 2\/7, w, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**4*q**3 + 9*f**4*q - f**2*q**3 + f**2 + 5*q**2 wrt f.\nAnswer: 72*f*q**3 + 216*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12107 - -11?\nAnswer: -12086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/56)\/((-3942)\/(-216))\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14)*-1)\/sqrt(2))**2 - (1*sqrt(700) + sqrt(700))) + (sqrt(35)\/((-3*sqrt(15))\/sqrt(3)))**2.\nAnswer: -20*sqrt(7) + 70\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -54. Let g = 116 + m. Let x = 69 - g. Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16275 and 8589000.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a + a**2 + 9*a. Let w(b) = -b**3 + 4*b**2 - 3*b + 1. Let s be w(2). Let j(o) = -s*o - o + 2*o. Determine q(j(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1103015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**8\/20160 + p**7\/1260 - p**5\/20 + 4*p**2. Let t(v) be the third derivative of g(v). Let k be t(4). Solve 2*a = -k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 41 = 21, -3*u - 8415015 = 3*z. What is z rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2. Suppose 4 = -3*k - 8. Let n be 14\/8 + k\/16*-1. Let w(f) = -5*f**2 + 12*f**n - 9*f**2. Give b(w(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -956479.3*0.06.\nAnswer: -57388.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*i - 4*i - 8*i + (-1 + 5 - 7 + (0 + 0 + 2)*(-4 + 4 + 2) + 0 + 1 - 3)*(0*i + 3*i - i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven fifths of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1467491 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -2, -0.16 in ascending order.\nAnswer: -3, -2, -0.16, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.59 + 14.590003768. What is a rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*d - 12709 + 33756. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 5*w - 10. Let c be m(7). Let z be (-4 - c)\/(1 + -3). Suppose 5 = 2*y + 4*j - 3, 0 = j - 1. Solve 2*q + 8 = -2*g, 3*q = y*q + z*g + 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175.033 - 175. Let p = t + 0.077. Sort 5, p, -3, -0.2.\nAnswer: -3, -0.2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -12.\nAnswer: -12, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*23\/483*4\/(72\/21)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aai when three letters picked without replacement from iiiaiaaaia.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 654118338 + -324488338. What is o rounded to the nearest one million?\nAnswer: 330000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3 = c, -n + 4*c + 0*c - 12 = 0. Let i be (n + 1)\/((-4)\/(-16)). Solve -2*m = 2*w + i, -5*m = -0*m + 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*w - 6*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 22*t + 21. Let n be v(10). Let g(r) = -r**2 + 3*r. Let s(a) = -a**2. Suppose -1 - 1 = -2*z. Determine n*s(x) + z*g(x).\nAnswer: -2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01799775 to four decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237 + -1899\/8. Let o = 127\/6 + -1663\/78. Which is bigger: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1.1 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a gram in milligrams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 minus -87.5456378?\nAnswer: 65.5456378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 2*p + 2*p - 3*p. Let r(q) = 5*q. Give s(r(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -100*w - 321. What is the least common multiple of 5 and y(-5)?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-1*sqrt(156) - sqrt(156) - sqrt(156))*-1 + (1*sqrt(156) + sqrt(156))*-4))\/(4*-2*(sqrt(432) + (sqrt(432)*-4 - sqrt(432)))).\nAnswer: -5*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Solve -3*z + 9 + 18 = 4*f, 0 = m*f + 2*z - 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 6. Let o(q) = -q**2 + 35*q - 63. Let n(a) = -a**2 + 31*a + 3. Let b be n(30). Let f be o(b). Let x(m) = 3*m - 6. Determine f*x(h) - 4*v(h).\nAnswer: h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 20 = 5*p, -p - 26 = 5*y - 3*p. Let s = -11 - y. Let g(q) = q**2 + 6*q + 4. What is g(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:40 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -804, -2677, -4816, -6417, -6676, -4789, 48, 8639?\n\"Answer: 134*a**3 - 937*a**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39856 + 293371. Let l = -374515 + d. Round l to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/60 + x**4\/8 + x**3\/3 + x**2. What is f in k(f) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + 30. Calculate the remainder when ((-7)\/28)\/((-442)\/281112) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56 + 60)*((-3)\/(-21) + 0).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5776 and 68590?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13348278.\nAnswer: 2, 3, 59, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 7 - 8 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143045459 to the nearest integer?\nAnswer: 11960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-6) + 44\/12. Solve 5*c = 2*y + g, 5*y - c = c - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**3 - f**2 - 2*f + 3. Calculate u(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**4 - 3*j**2. Let z be (-1)\/(3\/18) + 3. Let w(p) = p**4 + 2*p**2 + 1. Let k(b) = z*w(b) - 2*t(b). What is the derivative of k(s) wrt s?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1214310 or 2.4?\nAnswer: 1214310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 13454*r**5 + 129456*r**4 + 318744*r**3 + 161892*r**2 + 22842*r + 972 = 0. What is r?\nAnswer: -6, -3, -3\/7, -3\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 2, 0 = -2*j - 3*j + 2*k + 343. Suppose 3*v - j = -0*v. 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 (-12)\/2 - (-131 + 121). Solve -2*y + 7 = -5*g - 2, -4*y + 4 = v*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -7 - 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20616215 (base 7) in base 10?\nAnswer: -1752497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 20*o**2 + 17*o - 17. Let l be (-4 + -2)*(0 + 1). Let u(n) = 7*n**2 + 6*n - 6. Let y be 3 + -4 - (4\/2 - 20). Determine l*m(k) + y*u(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 - 11232*v + 2*v**2 - 2*v**2 - 11252*v + 22484*v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**5\/60 + 10*m**2. Let o(v) = 5*v. What is o(p(x))?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6849 (b) -0.03 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*u = 119*u - 24. Solve 0 = 2*k + 2*q - u, -2*q + 5 + 4 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 100993*j. Let t(x) = 140*x**2. Calculate i(t(k)).\nAnswer: 14139020*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let r(l) = -l. Let s(w) = b(w) + 4*r(w). Let o(g) = -76*g**2 + 25*g**2 + 35*g**2 - 3 + 26*g**2. What is s(o(c))?\nAnswer: -20*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*q = 2464 - 1540 + 2886 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 17 = -2*i + 8, -i = 2*u - 9. Suppose u*r + 14 = 9*r. Solve -b + 3*a = 7*a - r, 4*a = -5*b - 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2020\/(-808))\/(2 - (-15)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -4 (b) 6\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 - 6668?\nAnswer: -6693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16769882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**2 - 50*b - 8. Let n be k(-6). What is the remainder when 1\/12*6 + 378\/n is divided by 58?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0962906744 to 3 decimal places.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/60 - w**3\/6 + 231*w**2. Let p(q) = -4*q**2 + 2. Suppose 3*g = -5*g - 8. Calculate g*p(k) + 2*d(k).\nAnswer: 2*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1624*f**2 + 102*f - 8. Let t(v) = 541*v**2 - 35*v + 3. Let a(o) = -4*s(o) - 11*t(o). Is a(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 6 + 14)*(-1 + 4 - 1)*(-586*y**4 + 2*y + 2*y**5 + 0*y**5 + 583*y**4).\nAnswer: 84*y**5 - 126*y**4 + 84*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**16))\/(n*n**(-7\/2)*n))\/(n**14\/n*n**2) assuming n is positive.\nAnswer: n**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = -64. Let y = m - -15. Let t = -1 + 3\/2. What is the closest to 0 in t, y, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*1)\/((-20)\/(-30)). Is (b - 6 - -4)*58 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8)\/z*((z\/(z\/z**(-24\/7)))\/z)\/z)**(-9\/4) assuming z is positive.\nAnswer: z**(3051\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82350.34nm to kilometers.\nAnswer: 0.00000008235034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 2*f**2 - 2*f + 1. Let v be c(1). Which is smaller: v or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.5 + -30. Let a = v + -2.2. Which is greater: a or -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -9 - (12 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -11*q. Suppose 8 = 3*n - 5*l, -2*n + 4*l + 6 = -q*l. Find the third derivative of 21*w**2 - n - 6*w**2 - w**3 + 1 wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 18.632\nAnswer: -74.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**3 - 10*w**3 - 357404 + 714875 - 357471.\nAnswer: -21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 152277623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -1.8. Let x = 1.3 - 0.1. Let g = x + q. Which is bigger: 1\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.388 - -0.588. What is the closest to 2\/7 in -1\/6, -12, m, -1\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.14 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*p = -15, 5*p - 4*p + 19 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 0*w + 0*w + 0*w + 0*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*q - 267 - 2008 = 0 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 4*t + 240 = 0. Calculate the remainder when 587 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1 - (-34)\/2). Suppose 2*p - 6*p = -q. What is the least common multiple of p and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 + 574*m**2 - 84617*m + 640712 = 0 for m.\nAnswer: 8, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61988 is divided by 30984.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21152748803 and 0.1.\nAnswer: -21152748802.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/13 (b) 0 (c) 4 (d) -1 (e) 2\/7 (f) -8004\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -3, -11, -19044, -7, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/4 + 14*y**3\/3 + y**2\/2 + 12*y - 76. Calculate z(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 69218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -6 - -7) + -12 + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -16. Let l = -15 + d. Solve u + 9 = -r, 0 = 4*u - l*u - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 2*k + 5*r, -5*r + 357 = 3*k + k. Suppose 0 = k*m - 104*m + 33. Factor -1\/5*v**m + 0*v + 1\/5*v**5 + 1\/5*v**2 + 0 - 1\/5*v**4.\nAnswer: v**2*(v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s + 5. Let r(k) = 23*k + 14. Suppose -3*u + 202 = 5*b, 5*u + 76 = b + 394. Let v be (u\/(-112))\/((-2)\/21). Determine v*r(n) - 17*g(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (42 - -2*1) + 56\/28. Suppose -b - 266 = -2*s. What is the greatest common divisor of s and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 20*u**2 - 3*u. Let l(f) = 4*f + 27. Let i be l(-7). Let c be -5 - (i\/6 + (-242)\/132). List the prime factors of k(c).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 53*t**3 + 32 - 98*t**3 + 49*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30404.7 + -147.\nAnswer: 30257.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w**3 + 2*w**2 - 2*w**2)*(0 + 1 + 1) + (-2 - 27*w + 46*w - 17*w)*(-2*w + 2*w - 2*w**2) to m*w + c*w**2 + i*w**3 + p and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.99 + 0.01. Let w(m) = m**2 - 4*m - 136. Let j be w(14). What is the second biggest value in -0.2, -0.4, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omiommmoumuoommoomm. Give prob of sequence omm.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 3127087.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4*v - 239908*b**2*v**2 - 55625*b*v**2 + 4*v wrt b?\nAnswer: 24*b**2*v - 479816*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3906884 to the power of 1\/2, to the nearest integer?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 338 - 346. What is the third biggest value in 31, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 + ((-21)\/245)\/(1\/14)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 34*n - 7. Let p be w(16). Suppose -c + t + 19 = 0, 3*c + 3*t - t = 32. Let x = p - c. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 9*j**2 - 64*j + 10. What is r(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*1 - (-10)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5067*i**3\/5 - 29391*i**2 + 142224*i\/5 - 336\/5 = 0?\nAnswer: 4\/1689, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4098\/559 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q + 14 = 0. Let y(x) = -4*x + x**3 + 7*x**2 + q*x + 0*x**2 - 4 + 6*x. Let p be y(-4). Solve -p = -2*h + 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 12 - 3. Suppose 0 = -p*d + 3*c + 15, 0 = 5*c - 0*c + 20. Does d = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2)*(0 + 0 - 32) + (-1 - 1 + 0)*(1 + 3 - 2))*(i - i - 2*i).\nAnswer: 136*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-542*f - 1649 + 265*f + 275*f)*(0 + 0 + 2).\nAnswer: -4*f - 3298","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(300)*-4 + -2)*2.\nAnswer: -320*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.8768 + -0.0932. Let o = y - -2.97. Which is the closest to -0.2? (a) -1 (b) o (c) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -21, -58, -111?\n\"Answer: -8*b**2 + 3*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 0.07 (c) 0.0087 (d) 46 (e) -3 (f) 0.1 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/35 and -49\/2885.\nAnswer: 20195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42217*f**3 + 45440*f**3 - 5 + 5.\nAnswer: 87657*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (69 - 70)\/((-2)\/10 - 0). Solve 2*f + 27 = 3*x + 40, 0 = y*x + 5*f - 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**2 + 5*b - 5*b - 150*b**2 to the form k*b + a*b**2 + y and give a.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**3\/3 + 9*m**2\/2 - 11*m + 2. Let j be i(7). Which is smaller: 1\/4 or j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*h - 4*q, -q = 2*h + 70 - 57. Let c(v) = 5*v**2 + 38*v + 53. What is c(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4940517030.\nAnswer: 2, 3, 5, 164683901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 192 - 181. Let l(m) = 12 - z + m - 16. What is l(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 18 = -16. Suppose a*x + 5*o = 1761, 144 = -3*x - 4*o + 2775. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910*w + 167 = 907*w + 2*y, -6*w + 4*w = 8*y + 74 for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g - 3. Give m(-7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 6*n + 56 = 0. What is the smallest common multiple of n and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*c - 96, 5*t - 5*c = 53 + 102. Suppose 10 = 2*s, 0 = 4*v - s - 8 - 95. Let g = -15 + v. What is the remainder when t is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163.077 + -163. Let n = z + -7.377. Let x = 7.3000086 + n. Round x to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*b + 2*b - 106, -2*b = 4. Suppose g - a = -2*g - o, -2*o - 42 = -4*g. Suppose -4*n = 5*t + g, -4 = 3*t + 2. Put 1, -5, n in decreasing order.\nAnswer: 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220221012120 (base 3) to base 13.\nAnswer: -1424c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11606292 by 2.\nAnswer: -5803146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 3*h**2 - 5*h + 1. Is p(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = -96. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 10. Let y be d(5). Solve 5 = 5*w - y*i, 5*w + 40 = -0*w - 4*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6679 divided by -138?\nAnswer: -6679\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -42. Calculate the lowest common multiple of o and 10 - 1*(0 - -2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 6. Let l(h) = -2*h + 5. What is 3*l(f) + 4*p(f)?\nAnswer: 2*f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1636 (b) -23 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from {d: 6, j: 1, n: 7, b: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 227465 + -5?\nAnswer: 227460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 39. Let f = g + -0.3. Which is the third smallest value? (a) 0.5 (b) f (c) 2\/13 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-36) - (-32)\/18. What is the second smallest value in b, -0.2, -3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9))**(-2\/41)*x**(3\/11)*x**(-1\/7) assuming x is positive.\nAnswer: x**(3998\/28413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 47640 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l - 40. Let y(m) = 19*m + 81. Let a(j) = 7*d(j) + 4*y(j). Let x be a(-6). Suppose -x*q + 3*q + 18935 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**6\/40 + 51*i**5\/10 + 867*i**4\/2 + 19652*i**3 - 85*i**2 - 2*i + 80. Let t(w) be the first derivative of p(w). Factor t(k).\nAnswer: 3*(k + 34)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -28*f + 31*f - 5, -17*k - 11 = 3*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6 - 5*c**2 - 13 + 7. Let t(y) be the second derivative of y**4\/12 - 6*y. What is l(t(a))?\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 814670137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = -12. Suppose n - s*i = -18, 5*n + 48 = -i - 0*i. Let r(m) = m**2 + 7*m + 3. Is r(n) 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 4944804?\nAnswer: 2, 3, 412067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**2 - 63*r + 7*r**2 - 3*r**2 + 9*r.\nAnswer: -10*r**2 - 54*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149643767739664 - -149643698201294.29999774. Let i = -69538367 - x. Let y = i - 2.7. Round y to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 6*y + 5. Suppose 4*z - z = -18. Let m be 3 + -1 - (z - -2). List the prime factors of s(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waz when three letters picked without replacement from {z: 14, a: 2, k: 2, w: 1}.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 - 125 = -4*b. Suppose b*l = 51*l + 432. What is the least common multiple of l and 8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8969560*t**2 + 234*t - 78. Let k be i(7). What is k rounded to the nearest 1000000?\nAnswer: 440000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-4.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 8*d - 6. Suppose 5*q - 1 - 2 = -2*w, -2*q = w - 3. Let t be o(w). Solve 4*n = 3*c + 3, 4*c + 2 = -t*n - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25034.57 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 42 + 13 + -26?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*y**3*z**2 - 52*y**3*z - 27*y**3 - 780*y**2*z**2 - 4*y**2 + z**2 wrt z.\nAnswer: -68*y**3 - 1560*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71501844 is divided by 1783?\nAnswer: 1761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 7*a + 36. Suppose 14 = s - 5*w, -4*w + a = -s + 23. Solve 3*k + t = s, -5*k + 8 = -5*t - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -441, -376, -301, -210, -97, 44?\n\"Answer: j**3 - j**2 + 61*j - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16936419299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368*j + 29 = 397*j. Which is smaller: j or 257?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2742 + 7589. What are the prime factors of o?\nAnswer: 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, z: 2, r: 7}. What is prob of picking 2 r?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, 0.5, 16, 1 in increasing order.\nAnswer: 1\/11, 0.5, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8352162 divided by 91782?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Let m(f) = 5*f + 6. Let r(h) = 11*g(h) + 2*m(h). Let q be r(-2). Let z(c) = -c - 6. Let b(l) = l + 5. Determine q*z(o) + 4*b(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 435220 and 18057.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 5:28 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011908279 rounded to 6 dps?\nAnswer: 0.011908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -64, -17, 30, 77, 124, 171?\n\"Answer: 47*l - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*o - 4*o + 5*o)*(0 - 2*o**3 + 0) + 5*o**3 - 5*o**3 + o**4)*(-338 - 249 - 132).\nAnswer: -3595*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5201 is divided by 946.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 9, l: 2, z: 8}. What is prob of picking 2 z?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 82364940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15803 - -347729\/22. What is the common denominator of g and -49\/158?\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3862.6 - 3863. What is the biggest value in 1\/2, -10, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to 2\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*m + 102 = 0, 2*h - 4*m = -0*m + 200. Is 7 a factor of ((-55)\/10)\/((-6)\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 207?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/60 - 3*b**4\/8 + b**3\/2 - b**2. Let o = -32 - -28. List the prime factors of f(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1\/7, -1.1, 6.61 in decreasing order.\nAnswer: 6.61, 6, 1\/7, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 63. Let p(n) = 7*n**2 - 3. Let b(d) = -8*d**2 + 4. Determine u*p(z) - 3*b(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -10*h + 13. What is the remainder when (-1 - -6) + -2 + 0 is divided by c(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -240 and 8.\nAnswer: -1920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/5))**(2\/3))**(2\/133) assuming o is positive.\nAnswer: o**(4\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (sqrt(448) + (sqrt(448) - 3*sqrt(448) - sqrt(448) - sqrt(448)) + sqrt(448) + sqrt(448))**2) - (-2*(sqrt(7)*-2 + 2) + -2).\nAnswer: -2254 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23436 - 23435. Let m(n) = n + 2 + 4*n + 7*n. Let s be m(o). Solve 3*y - 4*t + 6 = 21, -2*y = -4*t - s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/t*t**(-7))\/(t*t**2)**(4\/13) assuming t is positive.\nAnswer: t**(-168\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 222 = -0*t - 5*t, 0 = -4*t - 2*d - 176. Let c = 50 + t. What is the derivative of -13*b**4 + b**c + 18 + 0*b**4 wrt b?\nAnswer: -48*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 1590996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7949.775ng?\nAnswer: 0.000000007949775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + j**2 - 1438*j + 0*j**2 + j**2 - 3*j**2 - 137*j**3 + 1436*j as r*j + t*j**3 + d + b*j**2 and give t.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 10:54 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -24 - (6\/21 + (-16)\/7). Let b = g + 30. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.34 rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**2 + 27. Let a(c) = 356*c**2 - 1431*c**2 + 358*c**2 + 351*c**2 + 360*c**2. Calculate a(s(t)).\nAnswer: -150*t**4 - 1620*t**2 - 4374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 0, -b - 4*g + 6 - 2 = 0. Suppose -3*l = 5*y - 35, 4*y - b*l + 3 = -1. Is -1 + 353\/y + (-2)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 729*j. Let n(v) = -v + 5. Calculate n(q(p)).\nAnswer: -729*p + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/5670 and 49\/20943?\nAnswer: 13194090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 3*f = -15*q + 5, -4*f + 8 = -2*q. Let v(z) be the third derivative of -1\/12*z**4 + 0*z + 2\/3*z**3 + 0 - 17*z**q. Determine v(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9)**48*j**(-11)\/j**(-10\/11) assuming j is positive.\nAnswer: j**(4641\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + 2*1*sqrt(132))\/((sqrt(144) - (sqrt(144) + sqrt(144)*-2) - sqrt(144))\/sqrt(12)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2213 = 3*g - 7*c + 6*c, 2*g = c + 1474. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 258\/77 + -40\/11. Let y be -1 + -1 + (-560)\/(-278). Let r = y - -403\/973. What is the closest to g in -3, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1537, 6013, 13467, 23893, 37285, 53637, 72943, 95197?\n\"Answer: -n**3 + 1495*n**2 - 2*n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 363 + -368. Suppose -j = -4*a - 1, a - 3*j + j + 9 = 0. Suppose -5*f + a = -3*h, -4*h + 2*f = -f - 6. Sort -0.3, d, h.\nAnswer: d, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567 divided by 3075?\nAnswer: 1567\/3075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 120 = -10*s, -168687225*s = -168687224*s - 4*o + 9 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4)*1)\/1. Let u = -1 - -1.4. Let h = -0.5 + u. Sort c, 5\/4, h.\nAnswer: c, h, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*y + m - 7, -6*y = -2*m - 30 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 974 - 268 = f, 1405 = 2*f - 3*r. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*t = -269*t + 1453585. What is the ten thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9011?\nAnswer: 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/7)\/j*j)\/j**3)\/(j\/(j**(2\/9)*j)*j*j**(-5)))\/(((j**(2\/5)\/j)\/j)**(-11)\/(j*j*j**0)**25) assuming j is positive.\nAnswer: j**(10681\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, 4742 in decreasing order.\nAnswer: 4742, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*z + 0 - 10\/3*z**2 = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430 and 241943370?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*o**4 - 2*o**3 + 325*o**2 - o - 22846772.\nAnswer: 88*o**3 - 6*o**2 + 650*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/8 + (-3)\/(-6))*-68. Does 119 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -503*k**2 + 5108*k + 4687. What is t(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 130*b + 1. Is o(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 419.21102 - 822.21275. Let f = q - -403. What is f rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2998 - 2983. Solve 18*j + t - y = 21*j, 0 = j - 2*t + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -14*k - 17*k - 6*k**2 + 31*k. Let n(c) = -9*c**2. Give n(a(w)).\nAnswer: -324*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 7:43 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 196197 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: Let u = -1 - -2.2. Let j = u + -0.2. Which is bigger: j or -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (22 - (24 - 15)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 11681.3\nAnswer: 116813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -255*a**3 + 3*a**2 - 1 wrt a?\nAnswer: -1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46977781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - 1. What is a rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 67*f**3 - f. Let s be m(-1). Let c = 115 - s. Suppose u - c = -30. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(1100) + sqrt(1100))*5 + ((sqrt(1100) + 0)*4 + sqrt(1100) - sqrt(1100) - sqrt(1100)) + -3 + 5 + -4)**2.\nAnswer: -9520*sqrt(11) + 318684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d**(-3\/4)*d)**(-31)\/((d*d*d**1*d)**(-28)*d**(-4)*d**5) assuming d is positive.\nAnswer: d**(165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 132*g - 77. Let y(b) = -7*b + 4. Let q = 215 + -138. Let c(h) = q*y(h) + 4*u(h). Let o(r) = r**2. Give c(o(z)).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1991 + 33026.\nAnswer: 35017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 16*c**3 + 76 - 15*c - 76 + 13*c**3.\nAnswer: -3*c**3 - 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*c - 5 = 0, -6*c + 2 = -3*w - 11*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11382 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 4819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3816 + 3819. Which is bigger: v or 2.32?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0084403 rounded to four dps?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2110 + 1?\nAnswer: -2107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14 + -6 + -5 + (1 - -4). Suppose u*y + 23 = 5*x + 7*y, -3*y = x - 11. Solve 0*c + 7 = -3*n + x*c, 2*n + 3 = 5*c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43771)\/(-910) + 480\/(-10).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 20*m - 17*m + 14754, 24603 = -5*m + 4*q. Is -4923 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17222656981*j**3 + 1 - 4 - 17222656980*j**3 + 3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1022 + -4 + (3 - 2). Suppose 0 = 5*w - v + 139. What is the second derivative of w*j**3 - 176*j**3 + 5*j**5 - 2*j wrt j?\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0192 - 0.01920554. Round t to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d - 4 - 6 + 10 + 0.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 126 = -9*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -29. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -7*l + 1044. Calculate the greatest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -825 (base 9) to base 4\nAnswer: -22133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -137*g - 19. Let y be x(-1). Let s be (-3)\/(-2)*4\/3. Suppose -s*c = -5*t + 475, 593 - y = 5*t - c. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/((-2)\/4). Suppose 3*z = 2 + g. Solve 0 = -3*o - 2 - z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 86 = 70. Which is the biggest value? (a) 3 (b) 0 (c) -0.3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.02, 0, 3, 5, 940279, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*r - 3*r. Suppose -2*c = -r*j + 432, 5*j + 2*c - 540 = c. Suppose s = j + 24. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.8. Let o = -263 + 9733\/37. Let j = o + 177\/148. Sort m, j, 3 in decreasing order.\nAnswer: 3, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167232.1g in nanograms?\nAnswer: 167232100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - s = 5, -5*a - 4*s = 7 - 77. Suppose -5*p - 4*y = -0*p - 32, p + 2*y - a = 0. Sort -4, -2, p in increasing order.\nAnswer: -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34048.49 decades to millennia.\nAnswer: 340.4849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 383197848 a multiple of 14718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 2*n - 2*n**2 + (-4*n + 2*n - n)*(-4*n + 78*n + 43*n).\nAnswer: -353*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171292844.\nAnswer: 2, 42823211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 197*t**4 - t**3 + 31*t**2 - 175297*t?\nAnswer: 2364*t**2 - 6*t + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = a - 2147, -g = -2*a + 3095 + 1185. Is a a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 21159164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -625 (c) 0.2 (d) -1\/7 (e) 6827\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z**2 + 1. Let b be a(1). Suppose -5*f + 0*f + b = 0. What is the third derivative of 7*g**6 - g**f - 3*g**6 - 2*g**6 wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**5\/30 - 7*b**4\/24 - b**3\/6 + 1666*b**2. Let o(t) = -t**2 + 6*t + 1. What is -6*o(z) - 5*u(z)?\nAnswer: -4*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4283*c = 1276*c - 31150 - 18881 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -789 - -788.9976. Let n = u - -9.0024. Let v = 28 + -138\/5. What is the closest to -3 in 1, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 times 0.044\nAnswer: 1.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10143042 divided by -55731?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(4)\/sqrt(2))**2 + sqrt(2) - sqrt(2))*-6 - -6*(-1 + sqrt(98))**2.\nAnswer: -84*sqrt(2) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (16 - (-7 + 15)) - -3) + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1055 + -2149\/2. Calculate the common denominator of c and 82\/(-154) - 6\/21.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-7) - (-18)\/63. Let a be 41\/w + 4\/8. What is the tens digit of (a - 2 - 0) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - 1. What is the biggest value in d, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(-22)*l)\/l*l)*l*l*l**(4\/11))\/(l**(-33\/7)\/((l*l**(-6\/11))\/l)) assuming l is positive.\nAnswer: l**(2197\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 232 - -10a7?\nAnswer: 12d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/1922 and -1\/8?\nAnswer: 7688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/((-360)\/50)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.266 plus 694439?\nAnswer: 694405.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -1)\/(30\/18). Let q(j) = -2*j + 4. Let w be q(4). Which is the nearest to -0.1? (a) w (b) -1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17161\/1699 < 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 2) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104745388008*n + 104745388010*n - 22 + 22.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**3\/6 - x**2\/2 - 3*x. Suppose 5*a + 16 = 4*q, -q + 4*a + 29 = 4*q. Calculate the smallest common multiple of g(-4) and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -7. Calculate the highest common factor of 132 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*t - 36, 0 = -3*t + 2*o + 3*o + 27. Let l be (-40)\/12 + 3\/t. Sort 3, -4, l in descending order.\nAnswer: 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 37*y - 330. Give c(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.9 + -31.9. Let z = -27.000104 - j. What is z rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10924, -11295, -11666, -12037?\nAnswer: -12408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-261)\/(-58))\/(1\/8). Calculate the highest common divisor of 132 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15400014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013625975 rounded to 6 dps?\nAnswer: 0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 4*j - 16 = 2*y, -4*y + j = -6. Suppose -2*i = 3*f - 8 - 5, -15 = -y*f + 5*i. Solve 0 = -f*v + 25 - 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3 + sqrt(108))**2)*2 + 4 + 4*(sqrt(108) + sqrt(108)*1 + 3)**2 + -5.\nAnswer: 360*sqrt(3) + 1995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 11 = -5. Let m(o) = n*o**2 - 3*o**2 - 3*o**2. Let a(g) = -2*g - g + 7*g. Determine m(a(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*u + 13482 = -113*u. What are the prime factors of u?\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1 + 4)*-3)\/(-1). Is (i + -4)\/((-2)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4193182 is divided by 3228?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43370717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let k = i + -0.1. Let h = -0.7 + 0.4. What is the third smallest value in -1, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -42*i - 154. Give c(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114395 and 7450705.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 8*u - 5 = -c, u - 10 = -4*c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 796 - 794. Suppose -3*m = y*m - 25, -2*f = m - 23. Calculate the lowest common multiple of 610 and f.\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*h + 287861, -d - 3*d + 2*h + 1151426 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 24870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/5 + 2*o**3\/5 - 6*o**2\/5 - 2*o\/5 + 4\/5 = 0. What is o?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 703923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 2 (b) 3\/8 (c) 5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 - 35941*a**2 + 35944*a + 71884 = 0. What is a?\nAnswer: -35942, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -0.9. Let t = 0.1 - -0.9. Let u = 3\/8 - 15\/8. What is the closest to t in -2\/15, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113522909 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.24 - 0.24. Let z = -14.7 + g. Let t = 10 - 11.3. What is the second smallest value in 1, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35)\/315 + (-47026)\/(-9). What is the greatest common divisor of 209 and k?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5040) + sqrt(5040))\/(sqrt(5)*2*-3).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 331550*w**2 - 3 + 4 - 331495*w**2.\nAnswer: 55*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005216 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 452 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 + 5 - (3 + -8). Suppose 1248 = 3*z + 3*v, -4*v = -0*z - o*z + 820. Let j = z - 181. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1458 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 + 1 - 1 + (0 + 0 - 2*l**2)*(l - 2*l - l)*(4 + 0 - 1)*(l - 4*l + l) as m*l**4 + k*l**2 + j + s*l**3 + v*l and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 33 = -8*r. What is the remainder when (-23)\/(-4) - r\/44 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3355 - 2*j**2 + 56*j**3 + 13*j + 3355 wrt j?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -4)\/(1 - (-7)\/(-8)). Let z be -6*((30\/4)\/(-3) + 2). Suppose 2*a - 7 + z = 0. Solve 4*k + i = c, 4*k - a*k - i - 10 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*m - 1177656 = 3659431 + 888794. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*r - 13, 7*c - 3 = 2*c - 2*r. Which is smaller: c or 2\/77?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11\/7 of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 6 + 0 - 100*j**2 - j + 97*j**2 as o*j + v*j**2 + p + s*j**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5325 divided by -4\nAnswer: -5325\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 38206725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d1 + -4?\nAnswer: cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69 and 7.9?\nAnswer: 545.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = a, -2*a + 8 = 702*j - 706*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15710, 6, -3, 0.4, -7\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.388447 and -0.363.\nAnswer: -0.751447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21275802 divided by -369.\nAnswer: 57658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = 4*h - 20, h - 23 = -4*j. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - 0.04. Let o = 0.31 - -0.19. Which is the second biggest value? (a) 2 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*-1*(-6)\/870?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 22 = m. Suppose 0 = -5*x + 9*x - m. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18694*t**3 - 118 + 18688*t**3 + 118 + 408*t**2.\nAnswer: -6*t**3 + 408*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - -4.6. What is the closest to 0.1 in 0.5, w, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 72 = 13*j. Solve -q + 1 = i, -i + j*i + 9 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -18*c**2 + 12658*c + 73734. Determine s(709).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let q(h) = -3*h + 5. Let a(r) = -4*f(r) + q(r). Let m be a(-5). Suppose m = -5*n + 8*n - 360. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:14 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 53, 50, 37, 8, -43, -122?\n\"Answer: -a**3 + a**2 + a + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7744 + 34 - 9892)*(-3*v + 6*v - 4*v) to k + m*v and give m.\nAnswer: 17602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6198 * 16.\nAnswer: -99168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31023 divided by -81.\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9197 + -0.8197. What is the third biggest value in -2\/13, f, -2\/29?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53383 divided by 5?\nAnswer: 53383\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4509 is divided by 4477?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 386276 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 q, and 1 h when three letters picked without replacement from {s: 3, h: 11, q: 4}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -0.21 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n**(-4\/3)*n)\/n*n*n**(1\/9) assuming n is positive.\nAnswer: n**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/11)*p)\/p**(2\/9))\/(p\/p**2*p**(-2\/9)*p))\/((p**(2\/5))**3\/(p**(-2)*p*p*p**8*p*p)) assuming p is positive.\nAnswer: p**(529\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 109?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 174 - 70. Suppose 5*l + t = 2*u, -2 = -l - 6. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l\/(l**(-2\/5)\/l)*(l\/l**4)\/l*(l*l**0*l)\/l*l**(-1) assuming l is positive.\nAnswer: l**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 308*b - 49191. Give a(158).\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*v - 15*v - 314. Let d = v - 58. Suppose -d*q + 1095 = -94*q. Is 32 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -0.075. What is t rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-2)\/47) + -2. Let r be 3\/(-27)*(-10 - -13)*-15. Solve -p = -10*u + r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*f - 10, -2*f + 6*d = d + 11. Which is the second smallest value? (a) 1 (b) -9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -6 - -6 - 9) + (48 - (2 + -6)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100 + 111?\nAnswer: 10010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 15 = 3*h + h, -12 = -h + 3*q. Suppose -2*l + 3 = -h. Solve l*a - 8*a = -25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*p**3 + 4 - 4 - 118*p**3.\nAnswer: -470*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 3*n**2 + 43*n + 3*n**2.\nAnswer: 4*n**2 + 43*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2019*x + 860. What are the prime factors of k(2)?\nAnswer: 2, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = c - 5*c. Suppose 0 = 4*p + p - 20. Let t be (0\/p)\/(c\/(-2)). What is t rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 56 - 56)*(-236 + 58 - 168 + 39 - 123).\nAnswer: -1720*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4492440 divided by -47?\nAnswer: -4492440\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = 0, 2*q - 5*j + 2*j - 10 = 0. Let c = -29 - q. Calculate the common denominator of 1414\/(-21)*(-3)\/c and 43\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 36) + -93 - (-1 + -13) - 6 - -15?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -74. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 c when three letters picked without replacement from bbbccbukbbbk.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.1097 to the nearest integer.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 1. Calculate x(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -146*h - 21. Let m(y) = 185*y + 22. Determine 4*m(l) + 5*x(l).\nAnswer: 10*l - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-171)\/(-38)*4\/9. Suppose -4*n = -82 + g. Suppose -b - 24 = 5*t, 3*t = -n + 5. Is b <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12012011210 (base 3) to base 12.\nAnswer: 4b179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5386445.\nAnswer: 5, 1077289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 67*z**2 - 570*z - 464. What is c(11)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 466 in -2\/13, -0.1, 1, -0.3, -0.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2\/5)\/z*z*z)*z*z\/z**(-16))\/((z**9\/z)\/z)**(-3) assuming z is positive.\nAnswer: z**(197\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/90)\/(1*2\/(-10))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5591.073 weeks to milliseconds.\nAnswer: 3381480950400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-69)\/(-12) - (-2)\/8. Solve -2*u + l = -0*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, o: 14}. What is prob of sequence oo?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -14*v**2. Let j(i) = -7*i - 6. Suppose 3*n = -19 - 14. Let s(y) = -13*y - 11. Let a(c) = n*j(c) + 6*s(c). Determine z(a(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -397*s + 1167. Determine b(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 960 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2. Let u(l) = -231*l**2. What is u(o(a))?\nAnswer: -2079*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 989 - 997. Which is smaller: 1\/10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -3*a**8\/448 - 13*a**7\/168 - 5*a**6\/18 - a**5\/2 + 7*a**4\/12 - 6*a**2. Let n(f) be the second derivative of w(f). Factor n(t).\nAnswer: -5*(t + 3)*(3*t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -10. Let m = -5 + i. Suppose -3*c = 2*q - m*c - 77, -q + c + 26 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 14*m**2 + 11*m - 16. What is s(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -71464774 divided by -2\nAnswer: 35732387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 7 = -2*k + 3, -2*b = 2*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11776097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6517 - -10281. Suppose -2*q - 4191 = 2*l - 1683, -3*l = q + m. Round l to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12 + 25*n - 43 + 10 - 37 + 23*n wrt n.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6 - 2 + 8*x - 3 + 5. Let u be p(-1). Which is the fourth smallest value? (a) -4 (b) -0.3 (c) -0.1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86116.\nAnswer: 2, 21529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 1\/2, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381453 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 4*t - t - t - 1 + 1 + (0 + 1 - 3)*(-4 + t + 4) + 3*t + 3*t - 4*t + t - t - 2*t + (-2 - 1 + 1)*(-49 - 207 + 19)*(-2*t + 3 - 3).\nAnswer: -949*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-21)\/3)\/(3\/(-21))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.27 - -2.37. What is the nearest to 0.1 in a, -2\/7, 3, -12\/19?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(91) - 1*sqrt(91))\/sqrt(7))*-4 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*u - 2. Suppose p - 2*i - 1 = -0*i, -2*p = -2*i - u. Solve 0 = 3*m - d - 2, -p*m + 0*m = -5*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -46. What is the third derivative of -18*d**5 - 383 + 2*d**u + 383 wrt d?\nAnswer: -1080*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -46*h + 11. Let c(l) = 19*l - 5. What is 5*c(g) + 2*u(g)?\nAnswer: 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or -16184\/5?\nAnswer: -16184\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*a = -33, 884*a - 1769*a = -880*a - 45 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 96.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/734832 and -85\/486.\nAnswer: 734832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 + -55. Let p = r + -36. What is the smallest value in 0.04, -0.1, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 9 = 5*r - 34, r + 2*s = 12. Solve -l - 2 = q, -2*l + 1 = -q - r*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23\/4 - -37\/4. Let z = 25\/6 - x. Factor -17\/6*l**2 + z*l**3 - 1\/2 + 8\/3*l.\nAnswer: (l - 3)*(l - 1)*(4*l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -5*j**6\/12 - 7*j**5\/3 - 11*j**4\/3 - 8*j**3\/3 + 4*j**2. Find v such that f(v) = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4 + (0 + 1 - 3)*(-1 + 2 + 1) - 2 + 3 + 3)*(-13*m - 10*m + 4 + 17*m + (-1 - 3 + 2)*(3*m + 5 - 5)).\nAnswer: -12*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*v**2 + 1565 + 111*v**2 - 1566 - 51*v**2.\nAnswer: 129*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 9. Let u = c + -1. Suppose -t + 13 = 12. Which is bigger: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -269*q**6\/60 + q**5\/2 - q**3\/6 + 322*q**2. Find the third derivative of i(y) wrt y.\nAnswer: -3228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670463 is divided by 1152.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4076 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**5 - 380*c**4 - 3695*c**3 - 7580*c**2 + 14860*c + 36400 = 0 for c.\nAnswer: -65, -7, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0.3 (c) -207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 53*j - 6113. Let m(w) = 7*w. What is m(t(a))?\nAnswer: 371*a - 42791","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 + -2.2. Let z be 1\/(-2)*(-3 + 7)\/4. Sort 4, z, m.\nAnswer: z, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**16*p)**(-3\/25) assuming p is positive.\nAnswer: p**(-51\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005193 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32394 is divided by 120?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83398505 divided by 5.\nAnswer: 16679701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 1. Let s be d(-4). Let f be (-308)\/(-5) - 2\/s. Suppose -2*m = 2*z - f, 5*m - 3*m - z - 59 = 0. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17881, 18114, 18661, 19678, 21321, 23746, 27109, 31566?\n\"Answer: 26*z**3 + z**2 + 48*z + 17806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2402*g**4 - 1539*g**2?\nAnswer: -57648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56 + (1*(-35)\/5 - -7). What is the highest common factor of m and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 733050047\/345 + -2124781. Let t = -10\/69 + x. Find g such that t*g**3 - 22\/5*g - 32\/5*g**4 + 28\/5*g**2 + 4\/5 + 14\/5*g**5 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558530*m**3 - 2741*m**2 + 2741*m**2 + 558529*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7829*a**2 + 7819*a**2 - 3*a - 15637*a**2 + 19 to j*a + u + q*a**2 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 27 = 5*q + 6*o, 5*o = -2*q + 26. Suppose q*y = 404 - 125. Let s = -453 + y. Round s to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10446411 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2646)\/(-637)*(-1066)\/123.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-12690)\/(-24))\/9)\/(1\/4)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-14))\/((-10)\/(-40))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 5*z**4\/12 - z**3\/2 + 5*z**2\/2 - 6*z. Is b(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 10*f + 812. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24045628 to the nearest integer?\nAnswer: 4904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let s(x) = -x**3 - 2*x**2 + 4*x + 6. Let c be s(-5). Let n(q) = -q**3 + 5*q**2 - q + 4. Let a be n(4). Let o(p) = -a*p - 61 + c. Give o(j(g)).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1110011001001?\nAnswer: -1110011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -3)\/(8\/60). Suppose 0 = 4*y - 2*q + 6, y + 4*q + 18 = -y. Let i = w + y. Calculate the smallest common multiple of 20 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4791865409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0 - (11 + -14). Determine i, given that 6*i**3 - 6*i + 6 - 9\/2*i**2 - 3\/2*i**m = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {u: 3, b: 1, d: 2, e: 1, v: 7, w: 3}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30268.\nAnswer: 2, 7, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 200042506*c. Let s(i) = i. Calculate s(k(d)).\nAnswer: 200042506*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/237 and -169\/40290?\nAnswer: 40290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -130.4 and -9253.\nAnswer: -9383.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -12. Let s = 3 - h. Let i = s + -5. Sort i, -0.3, 3 in ascending order.\nAnswer: -0.3, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z + 9. Let a(t) = t + 1. Let o(j) = 4*a(j) + c(j). What are the prime factors of o(4)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2531 + 161987\/64. Is f less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64302 (base 8) in base 14?\nAnswer: 9ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.1. Let n(x) = -x + 4. Let k be n(-8). Let i be (-16)\/k*(-6)\/(-20). What is the closest to d in -2, i, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1857.967 millennia to decades.\nAnswer: 185796.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x. Let g be 3 - -2*4 - -3. Let s be 8\/g + 114\/21. Let y(v) = 119*v. Let c(p) = -8*p. Let r(j) = s*y(j) + 91*c(j). Determine r(b(i)).\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 5\/2*d**2 + 1\/36*d**3 - 1\/360*d**5 - 2*d + 0*d**4 + 0. Let y(i) be the first derivative of r(i). Factor y(b).\nAnswer: -(b - 1)*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/4, 1.5, 503539, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 560 - 199. Let c = l + -331. Solve 13*j - 7*j = -c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 30 - 8 + d - 2*d. What is the least common multiple of 36 and h(-14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83346019.\nAnswer: 17, 463, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22951693, 22951698, 22951707, 22951720?\n\"Answer: 2*i**2 - i + 22951692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176.895 + -177. Let r = l - 0.095. Sort -29, -2\/9, r, -2\/5 in ascending order.\nAnswer: -29, -2\/5, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34226 is divided by 5703?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14791, 29708, 44753, 59926, 75227?\nAnswer: 90656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acxgjazx. Give prob of sequence gza.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 - 578\/4)*(-2 + 0) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5108 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 1\/2*g**3 - g**2 + 0 - 1\/20*g**5 - 1\/6*g**4 - 2*g. Let v be (6\/4)\/(4\/(-8)). What is d(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 31*w. Let y(k) = k**2 + 491 - 491. What is y(f(z))?\nAnswer: 961*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 6*n + 180. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(999\/(-3885)*-35).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g**3 + 32*g**3 + 118*g**3.\nAnswer: 129*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178 and 546219878.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 46*q**4 - 49. Let i(j) = -23*j**4 + 25. Let r(v) = 3*c(v) + 5*i(v). What is the derivative of r(x) wrt x?\nAnswer: 92*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 7. Let f = -3 - i. Suppose -9 = -f*t - 0. Solve -16 = t*m + m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214.147us in nanoseconds?\nAnswer: 2214147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42865220 - -192268.\nAnswer: 43057488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*12 + 9\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 277899 and 56500681?\nAnswer: 5449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m. Let p(v) = 13*v - 5. Let r(j) = 11*j - 6. Let u(l) = 6*p(l) - 5*r(l). What is u(y(c))?\nAnswer: -46*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 17 + 60)*(-3 + 0 + 8)*(-2*z + 0*z + 4*z).\nAnswer: 890*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11105 (base 6) in base 16?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23, 2\/13, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 4*c + 1. Let g(m) = -6*m**2 + 2*m + 18. Let b(o) = g(o) - 5*i(o). What is b(-18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x**3 - x**2 - 2*x + 1. Let d(g) = 102*g**3 + 5*g**2 + 15*g - 7. Determine -d(l) - 8*r(l).\nAnswer: -30*l**3 + 3*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 37 (c) -2\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1328084 + -584373. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:18 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfjtbttjttststbstjt. Give prob of picking 1 t and 1 j.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3137344 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 21*y - 2. Let w be q(3). Let j = -42 + w. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 879708, 1, -2, 5.\nAnswer: -2, 1, 5, 879708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-2)\/((-6)\/(-37)). Let s = -112\/3 - k. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 768935857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1305196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -469 - -469.1. Which is the smallest value? (a) 13\/5 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*n + 118*n - 2*n**2 - 54*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Suppose 4 = w*q + q. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 1715*d - 5190.\nAnswer: 5*(d - 346)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byjzjjzjjyjjjjzj. Give prob of sequence zzzb.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 10*o**2 - o + 13. Let x be u(10). Is 13 a factor of 26\/x*21\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 110*y**3 - 16*y + 13*y + y + (y**2 + 2 - 2)*(-4 - 3*y + 4).\nAnswer: 107*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 137725?\nAnswer: 1239525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/7176 and -101\/69552?\nAnswer: 904176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 2*u)*(2*u**2 + u**4 - 2*u**2) + u**5 + u**5 - u**5.\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w**3 - 5*w**2 - 38*w + 5. What are the prime factors of j(5)?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/20 and 35\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 31*q + 35*q - 8 - 113*q + 37*q. What are the prime factors of b(-13)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*1*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4118 and 6958.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1736137*o**4 - 143*o**2 + 6066 wrt o?\nAnswer: -41667288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 756 and 26117?\nAnswer: 2820636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099055 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2995 by -1661.\nAnswer: 2995\/1661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/2)\/(6*17\/(-306))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 346 and 34946?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -74 divided by -7\nAnswer: 74\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4. Let n(f) = f + 7. Let a(j) be the first derivative of -j**2 - 8*j - 2. Let t(b) = -2*a(b) - 3*n(b). What is 3*m(i) + 2*t(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33380 + 33380.3. What is the third smallest value in -0.0483, 0.4, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/4 of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.211 - 0.059. Let w = 1958.7 - 1959. Which is the third smallest value? (a) w (b) -4 (c) k (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133665 is divided by 4181.\nAnswer: 4054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9*9\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x - 8. Let n be h(5). Let j(u) = -u**2 + 8*u - 7. Let v be j(n). Which is the third biggest value? (a) 0.04 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2861 is divided by 775?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(1089\/(-176)))\/(1 - 22\/18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 44*j**3 + 14*j**2 + 7*j - 7. Let f(t) = -29*t**3 - 10*t**2 - 5*t + 5. Give -7*f(n) - 5*h(n).\nAnswer: -17*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**4\/3 - 7*d. Let a(q) = 2*q + 0*q - q. Calculate r(a(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 35 = -5*v, 8 = 4*l - 12. Let n be (-2 + (-20)\/(-12))*v*-57. Let w = 50 + n. What is the smallest common multiple of w and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - l + 1. Let j(f) = 6*f**2 + 5*f - 6. Let i(c) = -c**2 + 4*c - 3. Let o be i(2). Determine o*j(h) + 5*d(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(704) + 3 + -1.\nAnswer: 5 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, -2779, -2\/3, 0, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3.8. Let i = -2\/13 + -46\/39. Let r = 2.17 - 2.27. What is the nearest to u in r, -5, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6204*p - 12396*p + 6168*p - 1.\nAnswer: -24*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/9 - 77*v**3\/9 + 475*v**2\/3 - 2623*v\/9 + 1274\/9.\nAnswer: (v - 49)*(v - 26)*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13931 times 54?\nAnswer: 752274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-1 - 8)) + (311 - 331).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 28*p**2 + 1. Let o be (2\/(-4))\/((-57)\/114). Calculate g(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117)*5*-5)**2.\nAnswer: 292500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1726238 or 1726239?\nAnswer: 1726239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8131829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -34040?\nAnswer: 1\/34040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**2*r**3 + 14340*f**2*y + 2*f**2 - 2*f*r**3 + 3*r**3*y + 67625*r**2 - 34*y wrt y?\nAnswer: 14340*f**2 + 3*r**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.27 + 0.17. Let x = -1291 - -1287. What is the third smallest value in -0.2, 4, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/72801, -4\/5, 50\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27571, -55466, -83421, -111436, -139511, -167646?\nAnswer: -195841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s - 17*s + 42805675 = -17*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-2*55\/22. Let y(j) = 0*j - 3 + j + 8 - j**3 - 5*j**2. Let q be y(t). Solve q*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - n + 6*n)*(-7*n**3 + 169*n**2 - 323*n**2 + 5*n**3) - 2*n**4 - 2*n**3 + 2*n**3 in the form l*n**2 + f*n**4 + d*n**3 + v + x*n and give d.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g*v**3 - 854*g*v + 1532670*g + 264*v**3 + 2 wrt v.\nAnswer: 9*g*v**2 - 854*g + 792*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13856 - 9441. Is r a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**4\/4 - 5*h**3\/18 + 2*h**2\/3 + 240*h. Factor f(r).\nAnswer: -(r + 1)*(9*r - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -28. Let p(o) = 8*o - 4. What is the tens digit of p(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6 and 4.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -52.\nAnswer: -47\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2568 = 2579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1933*w + 8087. Give v(-4).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(18)\/sqrt(2)))**2 - (sqrt(5) + (sqrt(5) - (sqrt(5) + -2)) + 1)**2 - sqrt(125)*-1*2.\nAnswer: -9 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*(-3)\/((-9)\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/46101 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257039507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117) - (sqrt(117)*1 + sqrt(117))))\/sqrt(9).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 233125116.\nAnswer: 233125116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l - 1110 = -89*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109068421 divided by -15581203.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (158\/3)\/(22\/33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 94*u - 18250. What is s(96)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*(-28)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -427 + 2804?\nAnswer: 23aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**2 + 2*v**5 + v**5 - 4 + v**3 - 34*v**4 + 32*v**4. Let w(s) = s**5 + s**2 - 1. Let o(r) = -3*g(r) + 12*w(r). Determine i so that o(i) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 8:33 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5 + 47937\/63 - 6\/(-63) is divided by 190?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44927173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -106 + 83d?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (9 + 0 + -1). Let g be (2 - -5) + l\/30. Factor 2\/3*i**2 + 50\/3 - g*i.\nAnswer: 2*(i - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3226094 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 6)*(0*d + 2*d - 3*d) + 14979 + 12*d - 14979)*(-2*d - 3*d + 7*d).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, -9.0334, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1653*d*u**2 - 2*d*u - 1370242*d - 4*u**2 - 1 with respect to u.\nAnswer: -3306*d*u - 2*d - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (44\/6 - 4)*6\/35. Let t(x) be the second derivative of 0 - l*x**3 - x + 1\/7*x**4 + 8\/7*x**2 - 1\/70*x**5. Find k such that t(k) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 - 266*t - 106. Let k(r) = r**2 + 89*r + 35. Let z(g) = 17*k(g) + 6*w(g). Is z(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h*h**(2\/33)\/h)\/h*h\/(h\/(h\/h**(-1\/10))))**(2\/9)\/((h**(-5)*h*h\/(h*h*h*h\/(h\/((h*h*h**(-6)*h)\/h))*h))\/(h*h**(2\/7))**50) assuming h is positive.\nAnswer: h**(704426\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 20 = 4*s - 2*q, 0 = q. Suppose s - 3 = t. Solve -o + t*o = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4366 is divided by 125?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8819b8 (base 13) to base 4\nAnswer: -30031322031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/12 and -41\/9834?\nAnswer: 19668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2026002 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 4*f - 7, k = 5*f + 7. Let n(i) = 0 - 3 - i**2 + 2 - 3*i. Calculate n(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/35 + -39\/35. Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 479 and -0.4.\nAnswer: 478.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w - 2 - 2*w**2 + 10*w**3 - 15*w**3 + 2*w**3 to o*w**3 + l*w + b*w**2 + x and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 180700 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-12 + 13 + -6).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 280, 332?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639127006?\nAnswer: 2, 7, 45651929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j**2 - 6*j + 2. Let f(m) = -3*m + 149 - 8*m - 145 - 15*m**2. Determine -6*f(v) + 11*x(v).\nAnswer: 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 28. Suppose 32*s - 113 = 15. Which is greater: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (39 - (0 + -5 + 13 - (-2 - -17))).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 103 = 67 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4 + 1. Let t be ((-2)\/(-8))\/(v\/10). Factor -1\/2*r**2 + r - t.\nAnswer: -(r - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302219377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450\/21 - 16\/(-28).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7747\/15921 - 10\/18.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 + -18 - (-6 + -6)) + -3 + -11?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 386 + 49. What are the prime factors of q?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d - 1. Let m be r(-1). Suppose m*k - w - 5 = 0, 0 = -k + 3*w - 0*w + 15. Which is the nearest to k? (a) 1\/5 (b) -1\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 0*p + p + 8*p - 29*p - 51*p + p + p - 4*p - p + 0*p - p + (3*p - p + 0*p)*(0 + 0 - 1).\nAnswer: -81*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let g(o) = 22033*o**2. Calculate g(b(a)).\nAnswer: 22033*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 10461?\nAnswer: -10451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6988*l**4 - 12*l**3 + 63*l - 4. Let c(w) = 6987*w**4 + 14*w**3 - 62*w + 5. Let d(p) = -6*c(p) - 7*n(p). Find the second derivative of d(r) wrt r.\nAnswer: 83928*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 1088.\nAnswer: -20672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117100?\nAnswer: 2, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7335*s**3 - 3*s**2 + 1801972 with respect to s.\nAnswer: 22005*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/8568251?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j - 8. Let o(q) = 6*q + 9. Determine 4*o(d) + 5*u(d).\nAnswer: -d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -583912*i*l*n**2 + 2*i*l*n - 2*i*l + 2*i*n + 2*l*n**2 - l + 285*n + 19 wrt n.\nAnswer: -1167824*i*l + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 2)*(3*q**5 - 3*q**5 - 15*q**5) + 3*q**5 - 5*q**5 + 3*q**5.\nAnswer: 46*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52576 divided by 4.\nAnswer: 13144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0.4, -2, 0.13, 1.852?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqdqqdtqtqqtqddqq. What is prob of picking 2 d, 1 q, and 1 t?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94613\/7 + -13521. What is the common denominator of a and 15\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - 2*w**5 - 3*w**2 + (4*w**3 - 2*w**3 - w**3)*(2*w**2 - 3*w**2 + 2*w**2) + 15*w**5 + 13*w**5 - 20*w**5 + 16*w**3 - 10*w**5 - 16*w**3.\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from qpnqnzqqnpqpzpqqnpq?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**4\/12 - 7*d**3\/6 + 7*d**2\/2 - 4*d. What is the units digit of m(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 1. Let y(w) = -w**2 + 6*w - 4. Let r(d) = -2*d + 1. Let i(f) = 5*r(f) + y(f). Give -i(m) - 2*k(m).\nAnswer: m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.49 + 0.59. Let f = -0.03 + -3.97. Let s = -2 - -4. What is the nearest to z in s, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2. Let y = 1 + 1. Let d be 8 + (-1 + 3)\/y. Let m(g) = -3*g**2 + 3 + d - 12. Determine r(m(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.803775 rounded to two decimal places?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10691762 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 7*r + 8. Suppose 0 = -0*g - 5*g + 35. What is the remainder when 30 is divided by b(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39315*i = 39316*i - 21 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2841*f + 573*f + 572*f + 569*f + 571*f + 565*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -265*m. Let n(c) = 4*c - 16. Give n(j(d)).\nAnswer: -1060*d - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6842 and -3720265049?\nAnswer: 3720258207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -18. What is the least common multiple of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 81942, 327807, 737582, 1311267?\n\"Answer: 81955*n**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-1)\/(-2)*0. Let h be (-1)\/(2 + 9\/(-6)). Let j be 3*n + h + 4. Which is the third smallest value? (a) 0.5 (b) 3\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by 4\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23956526*q**2*y + 765676*q**2 - 9 wrt y?\nAnswer: -23956526*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 68204 = h, 173*h = -5*y + 178*h + 68240. What are the prime factors of y?\nAnswer: 2, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = i - 7, 0 = -2*x + 3*i - 1. Suppose 3*k - 8*k + 4*c + 30 = 0, -5*c - 33 = -x*k. Let q(n) = n + 12. Let f be q(-3). Solve -v = k*v + f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1520241\/613 + -2480. Which is the closest to w? (a) -1\/3 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-18)*r)\/r)\/(r*r**(-1\/13))*(r**(-14)\/r*r)\/r*r\/r**17 assuming r is positive.\nAnswer: r**(-649\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 683, 687, 693, 701?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3320 is divided by 226.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 = 3*u, x + 2 = -2*x - 2*u. Let c(r) = r**3 + 5*r**2 - 9*r - 13. Let w be c(-6). Suppose 15 = w*l - x*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from sqq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14229*w**4*y + 7*w + 11*y + 1700 wrt w?\nAnswer: -56916*w**3*y + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let o(c) = c**2 - 6*c. Let h(n) = 3*b(n) - o(n). Let a be 2\/(-24)*-2067 - 2\/8. Suppose 0 = -5*u - 137 + a. Give h(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*p + 21 = 61, 2*j - 3*p + 4 = 0. Suppose 0 = 2*z - 3*b - 16996, j*z - 25453 = -b + 8553. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1761043 rounded to four decimal places?\nAnswer: 0.1761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 18*t - 16. Let b be c(1). Factor b*o - 8\/5*o**3 - 4\/5*o**2 + 0 - 4\/5*o**4.\nAnswer: -4*o**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39986*t**3 - 9132 wrt t?\nAnswer: 119958*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52284 divided by 12.\nAnswer: 4357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + m**2 - 3*m + 3. Suppose 41*v + 2 = 125. Determine o(v).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/6*-1*-2. Let q(f) = -f - 1. Let m be q(-7). Let s(a) = a**3 + a**2 + a + 1. Let j(z) = -5*z**3 - 6*z**2 - 8*z - 6. Calculate m*s(i) + v*j(i).\nAnswer: i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 4*y + 1. Suppose -4*b = -0*o + 2*o - 24, -4*b = -16. Let n be q(o). Let s = 37 - 23. Solve -3*k + s = -n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -72*d + 867. Let b be s(12). Let l = 3 + -7. Which is greater: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/3 + 1032*p**3 + 2063*p**2 + 3094*p\/3.\nAnswer: p*(p + 1)**2*(p + 3094)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 8308.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 12*j**2 - 21*j + 13. Let f be c(3). Suppose 4*a + 47 = f. What is the nearest to 1 in -5, 55, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + 1*sqrt(539))*6*-6)**2 + -1.\nAnswer: 2794175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 40\/28 + (-14396)\/10675\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198*t + 452*t - 180*t to r*t + i and give r.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 14 - 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 533716 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -29. Calculate the highest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*w**5 + (8*w**4 - w**5 - 8*w**4)*(0 - 1 - 1).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -334, -508?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (16\/480 + -3)*(-25)\/10?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36360112.\nAnswer: 2, 41, 43, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/(k**9*k))\/(k*(k*k**(-3\/11)\/k)\/k*k)**(-8\/17) assuming k is positive.\nAnswer: k**(-1058\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 565595399 to the power of 1\/3, to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 4*c**5 + 4*c**5 + (-5*c**3 + 5*c**3 + c**3)*(-1 + 1 + 2*c**2).\nAnswer: 8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15464, -15436, -15406, -15374?\nAnswer: -15340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -238.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.184718 rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -59727, -59792, -59861, -59934, -60011, -60092, -60177?\n\"Answer: -2*c**2 - 59*c - 59666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 32.6. Let b = 0.54 + 0.06. Let t = b - q. Is t greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/((-118)\/102 - (-9)\/(-51))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*p - 16, -2*l = 3*p - 3*l - 14. Suppose 0 = p*y - 3 + 12. Let f(v) = 2740*v**3 - 2*v**2 + v + 1. Let t be f(y). Round t to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 608 = -3*z, z = -5*q + 3*z - 3057. Is (-8)\/2 - (-6 + q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.2071 + -0.2071. Put -1.88, q, 3\/2 in ascending order.\nAnswer: -1.88, 3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*o, 3*n - 5*o - 7112 = -n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400643047 to the power of 1\/4, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/177?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**3 + 4335*i**2 + 1128600*i + 92325420 = 0.\nAnswer: -471, -198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-176)*0)\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 255851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdkfmdd. Give prob of sequence ds.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 341*z**5 - 4*z**4 + 1976*z**2 + 7*z?\nAnswer: 20460*z**2 - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15116 + a + 15116.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.33, 3.4, 5\/3 in descending order.\nAnswer: 3.4, 5\/3, 0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264607.6 grams to micrograms.\nAnswer: 264607600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from cwecbwwwceccyclwwcew.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 137383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713.\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 296.406 - 339.34. Let h = g + 43. Round h to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1592 - -23.1592. Which is the closest to u? (a) 5 (b) 0.1 (c) -5 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 + 525 + 48193*j - 48193*j + j**2.\nAnswer: 4*j**3 + j**2 + 525","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4972160 = b - 4972158, k + 3*b + 6 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -3\/5, 1\/8, -0.4, 22, 935?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*p + 5*p**2 + 91*p)*(-7*p + 2*p + 3*p) - 2*p + 2*p + 2*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*j**5 + 3*j**3 - j - 3*j**3 + 2*j**2 - 2*j**4 + 10*j**5.\nAnswer: j*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 - 756*n**3 + 46089*n**2 + 194304*n + 147456.\nAnswer: 3*(n - 128)**2*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 11)*(1 - 3*f**2 - 1)*(-1 + 0 + 2) - 23 - 20*f**2 + 23.\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 5. Let u(q) = -q - 2. Calculate 3*m(l) + 5*u(l).\nAnswer: l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24839796 - -1144.84.\nAnswer: 24840940.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, e: 3, g: 4}. What is prob of sequence er?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*m**2 - 15*m - 1447 wrt m.\nAnswer: -24*m - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 7 = 3*o, -7*o + 1 = -4*d - 4*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10632*7367.\nAnswer: -78325944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.17555 * -0.08.\nAnswer: 0.094044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -63 + 7*r + 5\/2*r**2 + 37*r**3. Find the second derivative of z(j) wrt j.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**3 - 7*o**2\/2 + o + 78. Let i be (20\/6 - 2)*6. What is the remainder when s(i) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*x + 1 + 10 - 12)*(-x**2 + 2*x**3 + x**2).\nAnswer: -54*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 2*k. Let r(w) = w**3 - w. Suppose 0 = -6*z + 2*z - 12. Determine z*r(i) - o(i).\nAnswer: -i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22473, 22915, 23651, 24681, 26005, 27623, 29535?\nAnswer: 31741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 8*d - 1. Let o be k(-5). Suppose -16*s + o*s = -12. Solve -5*n - 4*w - s = 0, -3 - 1 = w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.81, -1.27, -29 in ascending order.\nAnswer: -29, -10.81, -1.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*f - 141*f + 339*f.\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10024 - 0?\nAnswer: -10024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8948638?\nAnswer: 2, 97, 193, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*g - 11*g + 75 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 193, 489\/11, -10?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eem when three letters picked without replacement from {e: 9, m: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(99) - (sqrt(11) + -2 + -5))**2 + 2.\nAnswer: 16*sqrt(11) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 + 75*o**2 + 26*o - 44. List the prime factors of m(-37).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n + 5. Let y(k) = -6*k + 4. Let z(d) = -4*g(d) + 5*y(d). Let j(v) = v**2 + v. Let i be j(-2). Let q(x) = -x**i - 5*x**2 + 4*x**2. Give q(z(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 (base 8) in base 2?\nAnswer: 1000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -49 + (-20 - (-15 + -50))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.581975 decades?\nAnswer: 35.81975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 2 + 12 + 8*y**3 - 10.\nAnswer: 8*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -893\/180 + 147\/20. Calculate the common denominator of (1 + (-1183)\/(-312))*(-6)\/(-3) and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104988 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 1.5\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(78)\/sqrt(2) - (6*sqrt(78)\/sqrt(2) + sqrt(39)))\/((-2*sqrt(528))\/(-3*sqrt(33)\/sqrt(3))).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -5.265.\nAnswer: -10.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/69 - -164\/897. Let p = -16 + 16. Let z = 0.06 - 0.06. What is the closest to z in 0.1, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 6 - -1 - (3 + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/35 and 8\/2314575?\nAnswer: 16202025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -51.1. Let r = 2 - q. Let g = -62 + 62.4. Which is the closest to r? (a) g (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -7453.\nAnswer: -3\/7453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 537*i - 4100. What is the thousands digit of d(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l. Let v(r) = -2*r**3 + 39*r**2 + 24*r + 23. Let t be v(20). Let x(y) = 4*y + 14*y**2 - 4*y + 12*y**2 - t*y**2. Give g(x(w)).\nAnswer: 231*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407988 is divided by 22566.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817 is divided by (-50)\/20*(16\/4)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -417\/8 (b) -0.2 (c) -0.3 (d) 0.1 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + l + 65 + 66, -h + 2*l = -19. Let x = -23 + h. Solve -3*v - x + 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 37*h**5\/60 - 7*h**3\/2 - 11*h**2. Differentiate s(g) with respect to g.\nAnswer: 74*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -403543 (base 6) to base 10\nAnswer: -31959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 10. Let h be m(-8). List the prime factors of (2\/(-1))\/((-4)\/h).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*a + 66*a - 15. Solve -4*l = -c - 17, -a*c + l + 0*l - 18 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599827 is divided by 49962.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*d + 2, m = -5*d + 7 - 6. Calculate the greatest common divisor of 109 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.06 (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 25, -3\/7, 3\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9*o + 14 = -c, -3*o + 14 = -2*c. Solve -3*b + 6 = -5*n - 3, 3*b - 9 = o*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 226 - 172. Solve -2*w = 4*w + d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/(-8) - 6)\/((-6)\/4040). Suppose -5*d + 5014 = -16*c + 14*c, d - 4*c = i. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 - 3. Let r(t) = -t**2 + 1. Let v = 11 - 26. Let c = v - -14. Let m be (-6 + 4)\/(-4) + (-27)\/6. What is c*y(f) + m*r(f)?\nAnswer: -2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1322 (base 4) to base 7\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - 10*j. Let f(l) = -5*l**2 + 20*l + 1. Let n(q) = 4*f(q) + 7*o(q). Let y(v) = -106*v - 329. Let k be y(-3). Determine n(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = -3*t - s + 106, -3*s - 68 = -14*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -125. Suppose 5*c - 60 = 4*q, -924*c + 56 = -3*q - 923*c. Let i be 1\/(3 + x\/q). Solve -r + j = 5, 2*r - i*j = j - 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 197*l - 102*l + 285. Put l, -0.2, -7, 4\/5 in decreasing order.\nAnswer: 4\/5, -0.2, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 725, 817, 909, 1001?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/102 and -76\/182013?\nAnswer: 6188442","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -5)\/(5\/(-25)). Which is the nearest to -1\/4? (a) -2 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2511500881.\nAnswer: 2511500881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/((-161)\/14))\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024922 rounded to 3 dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*n + 13, 4*n - 3*w - 3 = 2*w. Let a(j) = 122*j**2 - 1. Is a(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 182*a - 92. What are the prime factors of m(-47)?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000 + -2001?\nAnswer: -12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsttnsnstnnnt. Give prob of picking 3 s.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -346372*d**4\/3 - 40*d**3 - 191*d**2. Let m be q(10). Round m to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 998*b - 1 + 3 - 2 - 3684*b to the form z + x*b and give x.\nAnswer: -2686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*o. Suppose o = 4*u - 26 - 6. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 356 + 464. Calculate the remainder when u is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 549503*g**4 - 3*g**3 + 46023549?\nAnswer: 2198012*g**3 - 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 3*m - 8. Suppose -2*b - 2086 = -3*v - 13833, m*v = b - 7830. Let s = v - -43073\/11. What is the common denominator of s and 3\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3136516 (base 8) to base 14.\nAnswer: 17a394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (35\/(-3))\/((-346)\/69 + 5). Let v be (72\/14)\/(46\/x). What is the greatest common divisor of v and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30724700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 16*p - 59. Let x be k(3). What is the closest to 0.05 in 0.4, 1\/11, x, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*b + 15*b - 18*b + 426*b + 49*b - 88*b.\nAnswer: 307*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -10) + 2 + -6 + -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 827168.1 weeks?\nAnswer: 5790176.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(2\/(8\/3)). Let o(w) = -2*w**2 - 15*w + 16. Give o(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c. Let o(w) = w**2 - 113*w - 15. What is j(o(i))?\nAnswer: 3*i**2 - 339*i - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 1 + (-1 - 1 + 3)*(-5 + 1 + 2) + 2 - 2 + 2)*(m + 3*m - 2*m)*(-2 + 4*m**2 + 2) as x*m**3 + q*m**2 + s*m + d and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31326 is divided by 15365?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 28*g**2 - 158*g - 73. Determine n(16).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 + 374 = 23*d. Let k(s) = s**2 - 7*s + 14. Let t(a) = a**2 - 7*a + 15. Let z(h) = -6*k(h) + 5*t(h). Give z(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z - 7*z - 5*z + 6*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -54*i**2 - 45*i - 45. Let a(j) = -j**2 - j - 1. Let w be 16\/(-48) + (-6)\/9. Give w*o(l) + 45*a(l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-2) - 63*-1. Let n = 88 - k. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-120)\/72)\/((-2)\/6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 918.4806 minutes?\nAnswer: 55108.836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 bigger than 158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5626020 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1061 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*g = 26, 0 = 2*s + g + 3*g - 20. Solve 0 = 4*h + 4*x + s, 2*h - 5*x = -h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 395. Let p be n(0). Let h = p + 612. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -274, 2, -10, 7 in increasing order.\nAnswer: -274, -10, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(40) + sqrt(40) + (2*sqrt(160)\/sqrt(4) - sqrt(40))))\/((sqrt(8) + sqrt(8) + sqrt(88)\/(sqrt(275) + sqrt(11) + sqrt(11)) - sqrt(8))*3).\nAnswer: 7*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/18)\/((-2)\/(-27)). Suppose 20*z - x*z = 0. Suppose -46 = -z*j - j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/6, 4\/501, 0, 3, 0.4, -0.4, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and 4701438.\nAnswer: -79924446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 22*t**2 - 17*t - 24. Let b be i(20). Sort 1\/4, b, 1\/9 in ascending order.\nAnswer: 1\/9, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-2))\/(1\/4). Let z be 2\/k - (-456)\/5. Suppose -u = b + 2*u - z, -3*b + u + 263 = 0. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*a + 5369 = 4361 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 0 + 90 + -2. Let u(p) = 3*p**2. Let m be u(1). Suppose -m*d + l = -57. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 8*n**2 + 2*n - 12. Let m be s(8). Suppose -j = 2*j - l - 28, -5*j + 40 = -5*l. Suppose m*u - j = 6. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 672374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 392047 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 23. Let z be m(-13). Let w be (-35)\/z - 5\/(-10). What is the greatest common factor of w and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -i + 3*q, i + 3*q = -0*i + 10. Solve 2*c - 4*z = 5*c + 6, -5*c + i = -4*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 13268200?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((972\/(-39))\/6)\/(10266\/(-177944)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3*u - 3060, -3*g - 4*u - 2125 = 163. Which is the biggest value? (a) g (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 165, 164, 163, 162, 161?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - p - 2*p)*(-49 - 3*p**2 - 2*p**2 + 51) in the form f*p**3 + t*p + d + b*p**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((1968\/32)\/41)\/(-15*1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34, -53, -96, -169, -278, -429, -628, -881?\n\"Answer: -v**3 - 6*v**2 + 6*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 + 3 = 11. Let x(y) be the first derivative of -7*y + 1\/4*y**4 - 7\/3*y**3 + 1\/2*y**v - 16. Calculate x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**5\/80 - 105*m**4\/16 - 157*m**3\/12 + 1453*m. Determine h so that x(h) = 0.\nAnswer: -314, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.14 + -9. Let k = 7495 + -7498. Which is the closest to n? (a) k (b) -2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = -2*s, 3*s = 2*k + k + 18. Let c be k + 2 + 20\/9. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 7:10 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 10*d - 3. Let s(p) = 2*p**2 + 23*p + 7*p - 11*p + 6. Let o(r) = -7*a(r) - 4*s(r). Determine o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 3251, -0.1, 1\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**8\/43680 + b**7\/16380 - b**6\/4680 - b**5\/780 - b**4\/4 - 3*b**2. Let v(p) be the second derivative of n(p). Factor v(u).\nAnswer: 2*(u - 1)*(u + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 12. Suppose 5*b - 23 = -s, -b - b + f*s = 1. Suppose -7*i = -b*i - 2985. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 87, -2\/11, 0.5, -4, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-21) - -3) + (-44)\/154. Let z = -5 - -6. Let r = z - -3. Solve -4*a + 6 = s*k + 17, 21 = -r*k + a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1480159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 531.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 60. Let g(u) = 147580*u. What is g(v(s))?\nAnswer: 295160*s - 8854800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99054*x**3 - 309235?\nAnswer: 297162*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 1\/1069 (c) -5 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*v - 2. Let m be (-1)\/v - 7\/(-4). Is 2 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (21\/119 - (-1785)\/(-289))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109201152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -2 - 2)\/((-4)\/3). Let s = 2191 + -2203. Put -4, l, s in increasing order.\nAnswer: s, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 55820 and 5.\nAnswer: 55825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -4*h**2 - 2\/27*h**3 + 1\/540*h**6 + 0 - 1\/108*h**4 + 0*h + 1\/135*h**5. Solve x(r) = 0 for r.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0 + 0)*(3*v**2 + 9*v**2 + 19*v**2).\nAnswer: 62*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -2 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 x when four letters picked without replacement from {y: 6, w: 4, l: 2, x: 1}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3626055 and 382185.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1385.759199 to 2 decimal places.\nAnswer: 1385.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1230 + 1230.01106. Round r to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3*(sqrt(96) + -2*sqrt(96)))\/(1*sqrt(200)))*-5.\nAnswer: 6*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/((-605)\/(-150) + -4). Suppose m + 4*n = -3*m + 40, 0 = -5*n - d. What is the highest common factor of m and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**3 - 6*v**2 + 6*v + 18. Let l(z) = -5*z**3 - 5*z**2 + 4*z + 18. Let g(x) = -3*l(x) + 4*u(x). Is 18 a factor of g(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98*s**4*x - 5*x + 1 wrt s.\nAnswer: 392*s**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/7560*25)\/(150\/(-40)).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 + 2) - 21 - (16 + -12).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2320 (base 4) to base 11\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10796 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + n - 21805, 0 = -2*f + 50*n - 46*n + 21810. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-2 - -4)*1). Suppose 4*p + 0*p - 12 = s. Suppose -2*v + 24 = -4*j, -10 = v + p*j - 2. What is the lowest common multiple of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -44*c**3 - 464*c**2 - 28*c + 2364. Let y(g) = 0. Calculate g.\nAnswer: -7, -1\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 626896 by -626896.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 30 = 9*v. Let c be v\/4 + (-35)\/(-14). Solve -c*z = 2*z - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 - 2*l + 1. Let n(a) = -7*a**2 - 3*a + 1. Let h(q) = -3*n(q) + 5*x(q). What is the lowest common multiple of h(3) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from cstgwtttgw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 24927?\nAnswer: -8\/24927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 27.74. Round t to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41.77723 centuries?\nAnswer: 50132.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*g = -6, -3*k - 33*g + 21 = -32*g for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 276 + 84. Let v = -64 + 80. Suppose 3*x - j = -3*w, 2*w = 5*x + 52 - v. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmmm when four letters picked without replacement from prmjt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + 5\/3. Suppose -4*b + 36 = 2*b. Suppose h*q + 239 = z - q, b = -3*q. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/15))**(-1\/3))**(23\/3) assuming g is positive.\nAnswer: g**(-46\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0089 + 139.4911. Let z = 75.9 - g. Let q = z - -64. Which is the nearest to 3? (a) 7 (b) q (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -5. Differentiate -3*c**4 + c + 7*c - 8*c - l with respect to c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/11 + 8*h**2\/11 - 456*h\/11 + 864\/11.\nAnswer: 2*(h - 12)*(h - 2)*(h + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l + 102. Let t be j(20). Put 3, 0, t in descending order.\nAnswer: 3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 525*p - 1063*p + 540*p - 10. Calculate y(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -17*i + 4. Let a(l) = 22*l + 24. Let t(q) = 32*q + 39. Let k(n) = 8*a(n) - 5*t(n). Calculate 5*j(m) + 6*k(m).\nAnswer: 11*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 14)*(4 - 6 + 1)*(6*a**3 - a**3 - 7*a**3 - 3 - 2*a).\nAnswer: -24*a**3 - 24*a - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/11, -1, 11, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81350979?\nAnswer: 3, 27116993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 562010 = 2*o, -2*a = o - 130077 - 993918. Round a to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525)*-4)\/(sqrt(18)\/sqrt(6)*-3).\nAnswer: 20*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2. Let u(c) = 12*c - 314. Let a(d) = -10*d + 308. Let t(m) = -4*a(m) - 3*u(m). Determine t(v(q)).\nAnswer: 4*q**2 - 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.2 (b) -4 (c) -12 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = k - 3 + 2, 0 = -4*o. Suppose -t + 30 = 4*m + 48, -2*m = -5*t + 20. Calculate the remainder when t is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v + 3*v)*(2 - 7*v + 3*v + 5).\nAnswer: -8*v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5933 divided by 349?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*u + 10, 3*n - 13 = -2*u + 3*u. Sort -1, n, -3, 5 in descending order.\nAnswer: 5, n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + j - 2. Let y(c) = c**2 + c - 2. Give -6*r(b) + 5*y(b).\nAnswer: -b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 1.38.\nAnswer: 5.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -26. Suppose 0 = -l + 3*q - 6, w = 4*q - 0*q - 8. Solve 5*a + 0*a + 15 = -4*t, l = -3*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 278*w**3 + 2 + 59*w - 48*w - 272*w**3 to c*w**3 + a + l*w + j*w**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20088248*o**6 + 28702900*o**2 wrt o.\nAnswer: 2410589760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 0 - 2 - (-2 - 6 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -423 - -423. Let d(w) = w**3 + 3*w**2 + 406. What is the units digit of d(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 44?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2263*y**3 - y**2 - 560*y - 2.\nAnswer: -13578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9489988 minutes to nanoseconds.\nAnswer: 56939928000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 278 - 194. Suppose -3*k - 5*w = -114, 3*k - 4*w - w - n = 0. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10173767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001002 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2. Let d be j(-1). Let t(q) be the second derivative of 1\/6*q**4 + 2*q - 1\/6*q**d - 1\/20*q**5 + 0 + 0*q**2. Find i such that t(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5488 + 7709. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-2))\/((-41040)\/(-49248)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-63)\/(-35) + 1\/5. Let l(z) = 10 + 2*z - z**3 + 0*z + 6*z**h - z. What is the lowest common multiple of 12 and l(6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -3*y + 5, 4457*a - 4452*a - 5 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/4 - 5*y + 56 = 0 for y.\nAnswer: -28, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 6 - 9. Let s(o) = -o**2 + 6*o - 4. Let x be s(3). Find the first derivative of -n + 0 + k - x wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 4*x + f - 0*f, -2*x + 32 = 2*f. Let n = -11 + x. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36818.\nAnswer: 2, 41, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9460 + 18439 + 16240)*(3*r**3 - 4*r**3 + 2*r**3) to s + t*r**2 + w*r + a*r**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 3*u**4\/4 - 2*u**3\/3 - u + 1. Let s be n(2). Suppose 4*z - 5*l - 22 = 0, -3*z + l + s = -2*l. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1649\/357 - 3 - (-2)\/(-7)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (346892\/32)\/13 - 1\/(-8). Let g = 87693 + -354087\/4. Let n = g + h. Find the common denominator of n and 25\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = n + 64 - 55, 1 = -4*n - 5*m. Let i(o) = 4*o**2 - o + 3. Let k(u) = u**2 + 1. Give n*k(l) - 2*i(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*r + 25, 16*j - 14*j = 2*r + 12. Let g(s) = 3 + s**2 + s**2 - 1 - 18*s**3 + 3*s. Does 5 divide g(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.6 - 132.6. Let v = 123 + p. What is the third smallest value in -2\/7, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1 - 39*z**2 - 8*z - 3 + 15*z**2 - 5. Let w be y(-1). Do -22 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 212102200220100?\nAnswer: 212102200220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*2.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 0.08. Which is the second smallest value? (a) -5 (b) 4 (c) g (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/112 and 37\/12?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 684921863 to the power of 1\/2, to the nearest integer?\nAnswer: 26171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 16 + 18 - (-1 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -22. What is w rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32 and 87\/164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -9. Let j(c) = -29*c - u + 77*c + 12. Is j(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1144, 2, -3, -5 in increasing order.\nAnswer: -5, -3, 2, 1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35121, -35156, -35191, -35226, -35261?\n\"Answer: -35*x - 35086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5583591087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 1, -b + 256*t - 255*t = -5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10084544, -10084541, -10084538, -10084535?\nAnswer: -10084532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 25. Solve 0 = j - 2*i - 0 - 6, 2*j + g*i = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*b + 5*x, -3*b + 3*x - 3 = 6. What is the common denominator of 30\/11 and (b - -1) + -4*6\/(-10)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 12\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 7 + 22*g + 2 in the form y*g + r and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 63, 191, 373, 603, 875, 1183, 1521?\n\"Answer: -i**3 + 33*i**2 + 36*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:42 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 406*j**3 + 1346 wrt j?\nAnswer: 1218*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108 + 108 + 22*q**2)*(3*q**2 + q - q).\nAnswer: 66*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 3341*i**4\/24 + 314*i**3\/3 - 2*i**2 - 2*i - 20. Find the first derivative of k(m) wrt m.\nAnswer: 3341","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:36 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10775.9455 + 0.05.\nAnswer: 10775.9955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 999\/(-222)*26\/(-435) and -37\/58.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 7*x**2 - 17*x - 2. Let h be p(-5). Find the common denominator of 69\/58 and (-3028)\/(-528) + 6\/h.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + -1 + (1*sqrt(2)*-1 - (sqrt(2) - 2*sqrt(2))*1))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83 or 1584\/19?\nAnswer: 1584\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 180000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than -13348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4863988480 and -100884.\nAnswer: 4863887596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311\/913 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/36 - (-112)\/63. Let t be (-19)\/(-9) + q\/(-18). What is the tens digit of (-19)\/19 - (-2 + (t - 211))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nibiijjnbnjjjjjbi. What is prob of sequence bb?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -518.3 + 512.3. Which is the third biggest value? (a) x (b) 0 (c) 5\/8 (d) 0.5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20685127, -20685125, -20685123, -20685121, -20685119, -20685117?\n\"Answer: 2*g - 20685129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3590.768mg?\nAnswer: 0.000003590768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18614187, -18614184, -18614181?\n\"Answer: 3*r - 18614190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(30)\/(-2*sqrt(3))) - (3 + sqrt(44)\/(sqrt(4)*-2))) + 2.\nAnswer: -3*sqrt(11)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k + 8 = 3*g, 5*k - 1 = 2*g. Solve z + 2 - k = y, -2*y = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (344898 + 12)\/(-10) - 16. Round i to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.02 - 4. Let h = -134189 - -134187. Sort -4, v, -2\/17, h.\nAnswer: -4, h, -2\/17, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + b - 4*b)*(b - 2*b + 2*b) - 350*b**2 + 86*b**2 - 931 - 936 + 145*b + 1867 to the form a*b + l + y*b**2 and give y.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 53*z + 52*z + 4304, -4*k = 5*z - 8620. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-165) - ((-2)\/3 + 0). Let o = 48386\/15 - 3227. Let j = o + n. What is the third smallest value in j, 0.11, 0.2, -1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzz when three letters picked without replacement from zdbjzduk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219 + -220 + 14\/6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (217\/(-147) - 1)*(-6)\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5180 and 925?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209 + -205. Suppose -3*d + 22989 = 4*k - 6065, -2*d - x*k + 19364 = 0. What is d rounded to the nearest 100?\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.077 + 0.123. What is the nearest to 2 in z, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -34388777219\nAnswer: -34388777219.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081138 plus -10.64?\nAnswer: -10.558862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 183 + -182. Let h(r) = -4*r - 2 + 2*r + 0. Let u(b) = b + 1. Calculate p*h(k) + 3*u(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f. Let p(r) = -39*r. Let b = -66 - -64. What is b*p(u) + 27*v(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -328, -2025, -6634, -15613, -30420, -52513?\nAnswer: -83350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3904*q + 28696 - 28696 + 0 + 0 + q + (3*q - 4*q + 2*q)*(1 - 3 + 4) + 2*q - 5 + 5 - 3*q + 0*q + 2*q.\nAnswer: -3900*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -1.950727?\nAnswer: -0.9753635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2. Let y be t(-1). Suppose 0 = y*h + 3, -2*w + 6 = 2*h - 2. Suppose x = -0*x - w*m - 6, -4*m - 4 = x. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/5 + 105\/25. Solve 5*h - 4*b - i = 0, 0 = -4*h - 2*b - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2042\/1887 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 + 81710.\nAnswer: 81711.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2. Let s(k) = 1419873*k. Give s(a(h)).\nAnswer: 4259619*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 319928191 to the power of 1\/2, to the nearest integer?\nAnswer: 17887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.106 in 4, 2, -32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(847) + sqrt(35)\/sqrt(45).\nAnswer: -1 + 34*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:37 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 177*t**2 + 189*t. Let a(s) = -177*s**2 - 190*s. Let q(c) = 2*a(c) + 3*o(c). What is the second derivative of q(y) wrt y?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2353017 + -1?\nAnswer: -2353018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 32 = -4*u - 0*u, v = 5*u - 33. Let t(x) = 4*x + 4. Let c be t(u). Factor 2*j**2 + c*j + 2*j**2 + 39 - 13 + 38.\nAnswer: 4*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4571019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (-2 + sqrt(891))) + 2 + -1 + (sqrt(11)*5 + sqrt(11) + -5 - (0 + sqrt(99) + sqrt(99))))**2*-4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 3:19 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcci when four letters picked without replacement from {y: 2, h: 1, k: 2, j: 1, c: 3, i: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 38, 2, -2\/5, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 437703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 738263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 405\/4, 0.4, 177.5, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5419*a**3 - 3*a + 5421*a**3 + a**2 - 2 + 2 as h*a**2 + f + l*a**3 + v*a and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. What is the biggest value in -4, o, -1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 5:41 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*y - 93*y = 114*y - 4589507. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -d - 5*k, -3*k + 33 = -2*d + 32 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-1\/4)*w*w*w*w\/(w\/w**(1\/5)*w)*(w**(-1\/4))**(4\/41)*((w*w\/(((w\/w**2)\/w)\/w*w))\/((w*w**(-2)\/w)\/w))\/(w**(-1\/4)*w**(-6)*w) assuming w is positive.\nAnswer: w**(3111\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 13*k**2 + 28*k + 57. Let p be m(15). Factor -3*a**3 + 36*a**2 - p*a**3 + 7*a**4 - 3*a**4 + 6*a**3.\nAnswer: 4*a**2*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100056, -400010, -899918, -1599768, -2499548?\nAnswer: -3599246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/91 - (-235620)\/2145 - 3.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/60 + (-14)\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 o, and 1 w when three letters picked without replacement from owwwwowbhhbhhbwho.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/(w*w**(-4\/3)))\/(w**(1\/3)\/(w\/(w\/w**(-1))))*((((w\/(w\/(w\/w**(-1\/7))*w))\/w)\/w)\/(w\/w**(1\/4)))**(-9) assuming w is positive.\nAnswer: w**(713\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/178062 and -101\/30?\nAnswer: 890310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**3\/3 - n**2 + 29*n - 7569. Determine m(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497029313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Suppose 136 = 5*t - j, 5*t + 3 = y*j + 141. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 20 = -120 - 42 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/(sqrt(56)\/sqrt(8)))\/(((sqrt(14) - (4*sqrt(14) - sqrt(14))) + sqrt(14) + sqrt(14))\/sqrt(2) + sqrt(7)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**3 - 21*a**2 - 31. Let c be p(-8). Suppose 0 = -48*u + 41*u + c. Is u at most 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1187380 divided by -34\nAnswer: 593690\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -27\/139?\nAnswer: -27\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15546864 divided by 456\nAnswer: -34094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(6 - 21))\/(8 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 380 - 352. Suppose -2*z - 2*f + 41 = 3*z, 5*f = 2*z - k. Solve -5*l + 16 + z = -5*s, 3*l + 3 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**3 + 4*z**2 - 2*z - 6. Let i(m) = -4*m**3 - 3*m**2 + 2*m + 5. Let q = 21 + -30. Let y = -6 - q. Let u be 17\/y + (-8)\/12. Give u*v(d) + 6*i(d).\nAnswer: d**3 + 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1334 + 4986 = 2*n. Calculate the highest common factor of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1020 + -121234?\nAnswer: -122254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 17.2. Let r = 8.8 + j. Sort 0.5, r, 2.\nAnswer: 0.5, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b = -1396 + 3942. What is the derivative of 65*w**2 + 68*w**2 + 42*w + 59 - 16 + b*w**2 - 201*w**2 wrt w?\nAnswer: -2*w + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 164 - -134?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/42*(-18)\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-70) + 542\/(-14). Let a = h - -79. Solve 2*w - 1 = -s, -w - 5*s = -6*w + a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5)*7\/7)\/1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 25\/10)*-2. Which is the nearest to 0.4? (a) l (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -84 - 51. Suppose -10*f + f = -s. Solve -2*j + f*w = 23, j - 11 = -3*w + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*u**2 + 9559 - 3182 - 3188 - 3189 - 171*u**2.\nAnswer: -595*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.3 (b) -6\/13 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1069 and 20190203?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 7:25 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -43*x - 1. Let h(u) = -2*u - 1. Give 2*h(w) - n(w).\nAnswer: 39*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -26*z + 8*z. Suppose z*f - 5447 = 7*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) + 104\/10. Suppose o - v = -o. Solve 2*s - 6 = 5*a, -3*s + 6*s = -o*a + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**2 - r**2 - 2*r**2 - 3 + 2*r - 29*r**3 + 27*r**3. Let g(v) = -v**3 + 4*v**2 - 4*v + 3. Let m be g(3). Let w = m - -3. Calculate f(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(56)\/(sqrt(128) - 3*sqrt(128)).\nAnswer: 5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/180 and -149\/1926.\nAnswer: 19260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 7 + 1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 12 - 3. Suppose l*u - 7 = 2*q + 7, 3*q + 15 = 3*u. Let t be ((-4)\/6)\/((-8)\/(-9)). Which is the second biggest value? (a) 2 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51259\/(-1300)*-310 + 6\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-7 - -16) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-30)*(-45)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -5\/33*o**3 - 3\/11*o**2 + 0 - 17*o + 1\/110*o**5 - 1\/66*o**4. What is c in d(c) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g - g = 0. Let d(f) = 4*f + 2. Let w be d(4). Let k(r) = 17*r**2 + 6 - w*r**2 - 31. Give k(g).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + -0.06. Suppose -9*k + 139 = 661. Is k greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*m - 6. Let g be (m\/(-5))\/2*5. Suppose -4*s + 44 = 4*c, 4*s + 85 = 5*c + g*s. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1 (c) -2 (d) -1\/7 (e) -405\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/((-16)\/72). Is 3 a factor of 1\/1*(10 - k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -7\/90, 3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -134*t - 119?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - t - 16, 0*n - 1106 = 2*n + 5*t - 1035 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7912a1 - -3?\nAnswer: -79129e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3448*y**3 + 3449*y**3 - 9740*y**3 + 3234*y**3.\nAnswer: 391*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - (-19 + 16)) + 7 - (-7 - 0).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - (2 + -3). Suppose 0*z = 3*z. Find h such that z*h**2 + 0 + d*h**3 + 0*h = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31a5ea (base 16) to base 7.\nAnswer: -36441055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 5*o**2 - 2*o + 5. Let m be 2\/4 + 9\/(-2). Let u be w(m). Is (-6)\/(-4)*(-254)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 420.643 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(75) + 2 - sqrt(75)) + 5)*1 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -1.1?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*y = -149445 + 148725 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*n + 2*n + 20, l = 0. What is the highest common factor of n and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 53935544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -73. Let b be 4 + (13\/1 - 5). Calculate the highest common divisor of d and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-378)\/9)\/(-1 + 1\/(-2))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807 is divided by 297.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -2*n - 4, -3*n + 12 - 36 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 3. Let f(w) = -1. Let m = 521 + -522. Let o(j) = -5. Let x(i) = m*o(i) + 4*f(i). Calculate -x(z) - y(z).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 165, 246, 327?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66893 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-6 + 5)) + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 6*a**2 - 5*a + 3. Let d be x(5). Let b = 58 + -56. Solve d*p - 43 + 16 = -3*n, 14 = n + b*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26909519 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 66 = 2*f, -3*f = -4*v - 7*f + 96. Which is greater: 20 or v?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11*w**2 - 33*w + 19. Let x(k) = 5*k**2 - 16*k + 9. Let n(v) = 6*r(v) - 13*x(v). Let c be n(-11). Is 170\/c + 11\/(-44) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - z + 83. Let q be i(8). Solve 33 + 0 = q*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 219300 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2383261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1445544 divided by -3\nAnswer: -481848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 83?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 5*w**2 - w - 4. Let f(j) be the first derivative of -2 - 4*j**2 + 4*j - 1\/3*j**3. Let a be f(-9). What is p(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*s + 24 = 393*s. Calculate the remainder when 15 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1123 + 42410404?\nAnswer: 42412032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78316767.\nAnswer: 3, 2900621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 12:04 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3976 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 4144?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/2, 5\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z**2 + 6001070*z\/3 - 173944\/3 = 0. Calculate z.\nAnswer: 2\/69, 86972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 1 + 24 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 10. Suppose -2*w - w = -o. What is the first derivative of -y**w - 2 - 1 + 3*y**2 + 4 wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 297 divided by 3\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119256 and 474?\nAnswer: 9421224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 + 34202125?\nAnswer: 34202053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0, 6429 in decreasing order.\nAnswer: 6429, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000064745 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95885236?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g - 1439 + 3844 = 0. What is the least common multiple of 5 and g?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -1. Let u = 3 + b. Which is smaller: -1\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65565335 divided by -11\nAnswer: -5960485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*k + 4. Suppose -3*f = 5*r - k*r + 21, r - 2 = 0. Suppose 1005*g = 917*g + 352. Sort f, g, -3.\nAnswer: f, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7174403597 + -6219.3082023597. Let h = p - -6193.59076211. Let m = h - -25. What is m rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/7)\/((-8)\/49084)*-14?\nAnswer: 3, 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 133*i**2 + 10*i + 39740?\nAnswer: 266*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*h = 109*h + 34. What is the fourth smallest value in -4, h, -5, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*t**6 + 2*t**4*z - 708426*t**3 + 12449*t**2*z + 126*t**2 + 5*t*z wrt t.\nAnswer: -5280*t**3 + 48*t*z - 4250556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + a - 112 = 0, -3*a = 5*c - 0*a - 278. What is the remainder when 1791 is divided by c?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520708667.\nAnswer: 520708667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*x - 12, 0*t + 4*t - 12 = -3*x. Let u = -8 + 4. Which is the nearest to 0? (a) 0.1 (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 25*t**2 + 13*t - 11. Let v(k) = 11*k**2 + 8*k - 5. Let w(q) = -6*s(q) + 15*v(q). What is o in w(o) = 0?\nAnswer: -3, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1) + 14*(-2)\/(-4). Solve -4*n - 2 = 3*f - 21, -u*n + 4*f + 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1345905, 2691812, 4037743, 5383710, 6729725?\n\"Answer: 2*j**3 + 1345893*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 1\/5 (b) 3\/8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -692 + 28 = -47*s + 464. Solve -38*t + 26*t = s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 0)\/(0 + -2). Let q = -2 - -7. Let m = -1.3 - -0.9. What is the third biggest value in m, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -431558, -0.03, 1, 3?\nAnswer: -431558","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, l: 1, j: 3, q: 5, w: 3}. Give prob of sequence qwq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02252 and 0.348.\nAnswer: 0.00783696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 36*w - 234. Let d be r(6). Let q be (-3)\/6 - 45\/d. Solve -q*s + 21 - 17 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7741\/6 + -1293. Calculate the common denominator of c and -24\/41.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 3*b + 3 + 12 = 14*d, -2*b + 849 - 859 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b6d9 + 2?\nAnswer: b6db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r - 3*r - 1 + 0*r + (-1 + 0 + 2)*(3*r + 0*r - r) + 1 - 1 - r.\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Let t(u) = -24*u. Calculate t(p(h)).\nAnswer: -48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -6. What is the remainder when 15 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1493009220 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 165 in 1.7, 2\/9, 0.1, 2\/7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**7\/168 - d**6\/20 - d**5\/8 + d**4\/3 + 11*d**3\/8 + 7*d**2\/4 - 349*d. Let i(y) = 0. Calculate y.\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**4 - 422778*d*k - 595*k + 466 wrt d?\nAnswer: -4*d**3 - 422778*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-128630.6\nAnswer: 7717.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azgggazaaaggaag. Give prob of sequence azg.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - 62?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**3*g*g*g)\/(((g**(-2\/15)\/g)\/g)\/g))\/(g\/(((g**(-1\/4)\/g)\/g)\/g))**(-18) assuming g is positive.\nAnswer: g**(2599\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**25*g))\/g)\/(g\/(g*g*g\/(g*g**12*g)*g*g*g)) assuming g is positive.\nAnswer: g**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 2, b: 2}. What is prob of picking 1 s and 1 c?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 2}. Give prob of sequence mm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.33 + 17.67. Let x = -18.16 + p. Let s = 0.15999962 + x. What is s rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0 = 3*g - 6, 3*g - 6 = 0. Let u = -6.5 + 6. Let z = -1.98 - 0.02. What is the nearest to v in -3\/5, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - -4) + -69 + 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 2816?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 2.\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1750 and -19\/192500.\nAnswer: 192500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - h - 2. Let s(k) = k**2 - k - 1. Suppose -2*v - 1 = -3*f - 2, 4*f - 2*v - 2 = 0. What is f*o(t) - 4*s(t)?\nAnswer: 2*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + u**2 + 0)*(0 + 0 + 2*u) + (1 - u - 1)*(0*u**2 + 0*u**2 - 2*u**2) - 3*u**3 + 2*u**3 + 4*u**3 - 3*u**3 + 4 - 4.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 + 3)*((10*n - 3*n + 2*n)*(4 - 1 - 1) - 3 + 2*n + 3).\nAnswer: 140*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q - 0*q. Let h be -5*3*q\/(-15). Which is greater: h or 3\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866116954 to the power of 1\/2, to the nearest integer?\nAnswer: 29430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 278\/1472417?\nAnswer: 278\/1472417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -18 + 105 + 5*o - 2*o + 9*o. Let h be b(-7). Suppose -i**h - 28\/5*i - 8\/5 - 22\/5*i**2 = 0. Calculate i.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 89 + -66 - 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 - 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zccczchccccccc. Give prob of sequence zch.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17937, 71372, 160479, 285264, 445733, 641892?\nAnswer: 873747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 69283.9 and 0.1.\nAnswer: 69284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 1 (b) -9.2 (c) -0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i + 5. Let t(b) be the third derivative of -5*b**3\/6 - 3438*b**2. Calculate -5*k(x) - 5*t(x).\nAnswer: 45*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127.081 - -127. What is b rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1417940 and 157480.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(44\/20 + -2))\/2. Let k be m\/(-5)*250*586. What is k rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7638955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*1\/18)\/(((-175)\/11850)\/7).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 10*x**2 + 43*x + 4. Let z be h(0). Which is greater: z or -184\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 11*s**2 - 10*s + 8. Determine z(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2697\/10756 + -2\/2689. Let s(o) be the second derivative of 0 - 2*o + 2\/3*o**4 + 0*o**2 + 0*o**3 + k*o**5. What is the third derivative of s(v) wrt v?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 4. Let y be g(-3). Let u be 2\/y - 12\/7. Let r = 1.4 + -0.4. Which is the nearest to -1? (a) -4 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (54\/(-12) + 3)\/((-6)\/4). Solve -m + 0*n + 4*n + 1 = 0, m = -4*n + g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183880168 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30246289859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 + (4 - 9) + (-2460)\/(-205)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3523 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 93674083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/126*3\/(-5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 9. Let w(g) = 5 - 2*g + 10 - 3 - 5. Does 7 divide w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*t = -6 + 2, 3*m = -5*t - 12. Let i(b) = b**2 - 3*b. Let g be i(-2). Suppose 17*d = 22*d - g. What is the least common multiple of m and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2145 by -39.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 10 = -5*v, 2*v = b + 4*b - 5. Suppose 9 + 51 = v*l. Is 2*3\/l*22 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 3*b**2 - b - 2. What is the units digit of c(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95 or -284\/3?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.8 - -26. Let n = o + -4.8. What is n rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 3186658?\nAnswer: -3186662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 65, 249, 613, 1217, 2121, 3385, 5069?\n\"Answer: 10*w**3 - 6*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950552701.\nAnswer: 7, 103, 151, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00198793079 rounded to seven dps?\nAnswer: 0.0019879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*i = -12617 - 9811. What is the highest common factor of 693 and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.23 - 7.23. Which is the nearest to -1? (a) -18 (b) -12 (c) s (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5376342 - 1785875. Let p = 809533 + v. Round p to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*x**4 - 812*x**3 + 818*x + 27.\nAnswer: -96*x**2 - 4872*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 401 (base 5) to base 2\nAnswer: 1100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*o + 35. Suppose -5*r = 43 - 3. Is r less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**2\/2 + 4*f + 2152. Let q(m) = m - 4. Calculate -3*q(o) - 4*v(o).\nAnswer: o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52510512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -7.89. Let x = y - 0.31. Let m = x - 0.816. Is 1\/2 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 35134*i. Let x(u) = 5020*u. What is 3*m(y) - 22*x(y)?\nAnswer: -5038*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*o + 8. Let b(m) = m + 12. Let l be b(o). Solve u - 4*c - l = 0, -3*c = -4*u + 2 - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24951091 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.08, 0.1, 0, 1\/968932, 0.4?\nAnswer: 1\/968932","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1916035917 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -2, 2 in decreasing order.\nAnswer: 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2116, -3579, -5056, -6553, -8076, -9631, -11224, -12861?\nAnswer: -14548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from dqqujqjdjj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, -4, 3 in decreasing order.\nAnswer: 10, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3040 - s**2 + 2*s**2 + 10*s**2 + 3040. Let i(g) = 3*g**2. Determine i(l(n)).\nAnswer: 363*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 184 - 34*d**2 - 178 + 28*d**2 - d**3 + 3*d. Let z(u) = -2*u + 2. Let f be z(4). Calculate b(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2455*j + 4931*j = 2429*j + 799 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a + 11592 = 0. Suppose 0 = -20*z - z + a. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + -4 + 1*sqrt(405)*1 + sqrt(405) + 1 + 0 + 3)**2.\nAnswer: -72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - -3. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 116 (b) 182 (c) 10.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16304305 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49.69 + -48.19. What is the third biggest value in 4\/15, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4083600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1412335 - (-12)\/(-6))*30\/(-90) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 5*p**2 + 2. Let k = 11 - 7. Let q be j(k). Suppose -3*x + 2*s - q = 0, -2*x - 24 = 2*x + 2*s. Which is smaller: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543.8159 tonnes to grams.\nAnswer: 543815900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 1. Let f(k) = -41*k**2 - 6*k + 5. Let z(r) = -b(r) + f(r). Let d be z(1). What are the prime factors of (-18 - d)\/((-1)\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1087*g**2 + 1005*g**2 - 3291*g**2 + 1200*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -147 + 107. Calculate the highest common factor of w and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1745272, -1745273, -1745274?\nAnswer: -1745275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3193 - -25577\/8. Let l be 9088\/(-9) - 10\/45. Let p = 3095\/3 + l. Calculate the common denominator of p and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30515100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**3 + 8*z**2 - 54*z + 9. Let y(b) = 4*b**3 + 5*b**2 - 30*b + 5. Let m(i) = -5*p(i) + 9*y(i). Let h(j) = -7*j**3 - 6*j**2. Give -5*h(a) - 6*m(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 4*b**2 + 9*b - 8. Determine k(-7).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.34 + 2.94. Let p = l + -2.7. Let k = p - -8.6. What is k rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 14*d + 817. Let a(u) = -5*u - 272. Give -11*a(m) - 4*s(m).\nAnswer: -m - 276","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 21, -2, -8686 in descending order.\nAnswer: 21, 2, -2, -3, -8686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 1979 - 2014 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i + 18. Let g = i - -3. Solve -2 - g = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 783 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24332 minus 0.2?\nAnswer: -24332.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:00 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 7956 = -0*q. Let x = 2692 + q. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o**3 + 2*o**2 - o + 4. Let j be k(2). Suppose 5*t = -3*s + 4*s - j, 4*t = 4*s - 248. Calculate the highest common divisor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-36))\/((125\/(-180))\/(-25)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**5\/5 + 4*b**4\/3 + 48*b. Factor o(y).\nAnswer: -4*y**2*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37817786813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3439334 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2281.8 - -130\nAnswer: -2151.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6761.3 kilometers in micrometers?\nAnswer: 6761300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/9014 - 17971\/171266. What is the biggest value in x, 28, 45, -3\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2385 and -0.0012465.\nAnswer: 2384.9987535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-1 - 5 - (2 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.757734l in millilitres?\nAnswer: 5757.734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 2 + 3 - -3) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41572 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 504\/8765 or 1?\nAnswer: 504\/8765","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: -7 - (-5 + 0 - 1) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2251 - 18861?\nAnswer: -16610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -360, -816, -1454?\nAnswer: -2274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1155\/(-99) + 13 + -2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-16)*176\/693?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055940.\nAnswer: 2, 3, 5, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 99, 96, 93, 90, 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -259*o + 43721. Determine g(169).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/1 - -2*24\/6. Suppose 79 = 2*q - u - 23, q - 69 = n*u. Let l = -17 + q. What is the greatest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 41. Is j > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29918*r**3 - 3*r**2 + 6 + 29916*r**3 - 5*r**2 in the form z + m*r**3 + w*r**2 + l*r and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2097*y + 7581. Calculate u(4).\nAnswer: -807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -1\/6, -1, -4, 89, -15 in descending order.\nAnswer: 89, -1\/10, -1\/6, -1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -0.4 (c) -0.7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2801 plus -5?\nAnswer: 2796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 138691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**6\/15 - 9*j**3\/2 - 77*j**2 - 4*j - 5. Find the first derivative of i(w) wrt w.\nAnswer: 8*w**3 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0346 - -0.3346. Which is the nearest to -0.1? (a) -3\/20 (b) -4\/7 (c) u (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 28.37. What is the nearest to 0.1 in q, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 6 + -33 + 4 + 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871 minus 647136.7104?\nAnswer: -645265.7104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 3*d - 2*t + 3934 = 0, -2*d + 4*t - 1976 = 0. Let q = -504 - d. Factor -24 + i**3 - q*i + 458*i - 2*i**2 + 0*i**3.\nAnswer: (i - 6)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 29*o**4\/2 + 30*o**3 - 25*o**2\/2 - 30*o - 2 = 0.\nAnswer: -2, -1, -2\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 11*v - 9. Let y be (10\/(-4))\/((-3)\/(-12)). Let c be r(y). Is -2 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153357548 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 14 = 6*s - b, 2*b = -5*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3327 + 3317 - ((0 - 7) + 1)) + 7 + -83?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 47303940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3789*j - 9716 = -16307 - 14037 - 2106 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -240299*i**3 + 927*i**2 - 1854*i - 927. Let g(w) = -519*w**3 + 2*w**2 - 4*w - 2. What is -927*g(p) + 2*v(p)?\nAnswer: 515*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -611446 (base 9) to base 4\nAnswer: -1120113132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyykyykykkyyyyyyyy. What is prob of sequence yyky?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/19 (b) 4\/9 (c) -2 (d) 5 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2 + 11988*y - 17964018 = 0.\nAnswer: 2997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -7 (c) -3.7 (d) -2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13301 + -0.03301. Suppose 0 = -y + 6*y + 5. What is the smallest value in 2, -0.4, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - -0.0431283215\nAnswer: 0.0731283215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x - 4. Let w(m) = -48*m + 30. Let s(o) = -10*k(o) - w(o). Let z(q) = 3*q + 3. Determine -3*s(d) + 10*z(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 65*s - 25. Let c be x(4). Let y = 382 - c. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 2*c + c + 2 - 3 - 3. Let u be a(-4). Differentiate 8*z - 3 - 13*z + u + 7 wrt z.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 10:26 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 74 - 2. Let x(b) = 4*b**3 - 2*b + 1. Let j be x(1). Differentiate -y + 11*z**3 + 3 + 0*z**j wrt z.\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1800 - 57*l**3 + 42*l**4 + 707*l + 1873*l - 722*l**2 - 26*l**4 - 8*l**4 - 9*l**4.\nAnswer: -(l - 2)*(l - 1)*(l + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 5, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140163069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/59 - 1467\/118. Find the common denominator of q and 89\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 1:59 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 295557 and -0.3.\nAnswer: -88667.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -196*y**4 - 116 wrt y?\nAnswer: -784*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, -22, -17, -12, -7?\n\"Answer: 5*v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8254 - 8249. Solve 796*f = 795*f - s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138.271 - -1.129. What is k rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 0 + 0*a - 1\/2*a**4 - 1\/2*a**3 + a**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l + 4. Let u be f(-7). Let j = u - -57. Let p = -3 + 8. Solve j - 6 = -p*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, -45, -246, -535, -918, -1401, -1990?\nAnswer: -2691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c**2 - 2*c + 1. Let j be -3 - (-5 + 6) - -5. Calculate i(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Suppose q*n - 363 = -n. Suppose 5*h = -5*c + 35, -4*c + h - 29 = -7*c. What is the highest common factor of n and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0411411 months to centuries.\nAnswer: 0.00003428425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 9. Let d(x) = x**3 + 2*x**2 - 27*x - 16. Let s be d(-6). Let a(v) = -v + 7*v - 10 - 10*v + v**3 - 4*v**2 - 3*v**s - 2*v**3. What is a(z)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(77)\/sqrt(7) + 2 - (sqrt(11) - (sqrt(11) + 0 + 5 - sqrt(11))))*-6 + (sqrt(891) + sqrt(891) + 0 + -4 + sqrt(891))*1*3)**2.\nAnswer: -8100*sqrt(11) + 64791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 852 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -43. Let r(y) = 15*y - 2. Let l be r(i). Let x = l - 517\/5. Is -8 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + sqrt(2))*-2 - (sqrt(196)\/sqrt(2))**2.\nAnswer: -98 - 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtfhb. Give prob of sequence df.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -5.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 981, 1143, 1301, 1455, 1605?\n\"Answer: -2*t**2 + 168*t + 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6}. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52619950*c**6 + 696235*c**2 + 68*c.\nAnswer: 6314394000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2. Let s(w) = -607*w. Calculate i(s(g)).\nAnswer: 736898*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323665626 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1892415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -769*x - 1147. Let b(i) = -386*i - 575. Let g(h) = 5*b(h) - 2*t(h). Find the first derivative of g(q) wrt q.\nAnswer: -392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 647435 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) 12 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {r: 2, i: 1, s: 4, j: 3, f: 6}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-49)*4*(-21)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 553c6 (base 13) to base 11\nAnswer: a6058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**4\/5 + 408*n**3\/5 + 2688*n**2 + 25480*n - 102900 = 0. What is n?\nAnswer: -35, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 - -1) + 1 + -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f + 44 = 0. Suppose 24 - 4 = 5*x. Suppose -2*v - 3 - 4 = i, -x*i = 2*v + f. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)*c)**45*c*c**1*c**12 assuming c is positive.\nAnswer: c**(-166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 3775.78?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 12*l + 2 = 11*l, -2 = c + l. Let a = 0.3 + -0.1. Sort -0.3, a, c.\nAnswer: -0.3, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390301 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -55780000 to the nearest one million.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*l + 558*l + 118 - 105*l + 443*l wrt l.\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-14472374087586\nAnswer: -14472374087585.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 6*c**2 - c - 3. Let x be i(-6). Suppose -2*z + x*z = 0. Suppose -5*t + 3*p + 13 = -0*p, -3*t + 2*p + 8 = z. Solve -4*b = -t*b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8455107.\nAnswer: 3, 2818369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14699, 14671, 14643?\nAnswer: 14615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 9. Solve -3*a + 3*p = 0, 2*a + h + 8 = -3*p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 3*z**2 + 5*z - 5. Let i = 15 - 13. Let n be p(i). Let y(v) = 4*v + 1. Determine y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -3\/5 (b) -1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r**2. Let u(z) = -2*z - 12. Calculate v(u(p)).\nAnswer: -32*p**2 - 384*p - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 4:28 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -7875.3?\nAnswer: 1575.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-423)\/(-39) - 40\/(-260)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454148044.\nAnswer: 2, 7, 16219573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*n, r + 4*r - 4*n = 16. Suppose r*v + 5*v = -3*f + 6, 3*f + 4*v - 6 = 0. Suppose 0*y + f*y - 382 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 949188?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/405 and 59\/23612670.\nAnswer: 212514030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, p: 9, q: 1, k: 2}. What is prob of picking 1 g and 3 p?\nAnswer: 224\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (9 - -3) + -9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 5538448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.225 - 1. Let n = 0.061 - d. What is n rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5866 = -v - 1031, -4*v + 5*g = -19319. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**7\/210 + 2*r**6\/15 - r**5\/4 + 12311*r**2. Factor t(z).\nAnswer: -z**2*(z - 15)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 4*r + 5. Let v be g(-4). Let o be v - (-2 - -5) - 0. Solve -7*i + o*i = 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 3*z + z + 13 - z. Let b be q(-9). Let k = -1 + b. Solve k*l + 5 = -4*n, 5 = 4*l + 3*n - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*n - 0. Let w be (-2)\/(-4)*468\/9. Solve 0*a + n = -a, 0 = -5*u + a + w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -102*t**2. Let n(i) = -1093789*i**2. What is a(n(q))?\nAnswer: -122030186405142*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/6 - (-4)\/12. Suppose -s + 307 = 2*l, -j*l - s + 784 = -4*s. Suppose -3*t + 112 + l = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 850 and 161670.\nAnswer: 808350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/((sqrt(32) - sqrt(2))*2) - (4 + ((sqrt(45) - (sqrt(45) - sqrt(90)\/sqrt(2)))\/sqrt(9)*-6)**2).\nAnswer: -184 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/3, 18, -4, -0.5, -29452?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292105*j**4 + 334*j**2 - 22*j.\nAnswer: -7010520*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 52*i**2 - 377*i + 690. Determine w(-43).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1477, 3, 4\/123, -11, -0.5, -4\/3?\nAnswer: -1477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5215630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40058197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -437474.09669 + 3.09669. Let c = -437256.091 - u. Let a = -215 + c. Round a to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 10. Let p(h) = h**3 + 5*h**2 - 6*h + 7. Suppose -i - i = 2*u - 26, 3*i + 4*u - 42 = 0. What is the smallest common multiple of p(w) and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 times 0.5?\nAnswer: -63.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 9. Let f(g) = -2*g - 26. What is -3*f(w) + 8*m(w)?\nAnswer: -2*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11256*k**3 + 670*k**2. Let z(s) = 201*s**3 - 12*s**2. Calculate -6*i(j) - 335*z(j).\nAnswer: 201*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, p: 2}. What is prob of picking 4 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 f when three letters picked without replacement from dffdd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**9\/m)\/m**(2\/79))**(-32) assuming m is positive.\nAnswer: m**(-20160\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 11*b + 4. Let w(u) = u - 1. Let z(x) = g(x) + 6*w(x). Let d be z(-2). What is the common denominator of 67\/12 and (18\/d)\/(42\/(-161))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -15, -3*m - q + 7 = 21. Let w be (105\/15)\/(42\/12). Which is the closest to 0.2? (a) w (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/1 - -1 - 1. Let g(i) = 4*i**2 - h*i**2 + i**2 + 0*i**2. Let k(p) = -2*p. Determine k(g(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*1*1*(-1 + -2 + (sqrt(1584) + 6*sqrt(1584) - sqrt(1584))))**2.\nAnswer: -1425825 + 10800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189 + -185. Suppose 3*z - p = c, -4*p = 8*z - 10*z - 14. Solve -z*a - 1 = 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {c: 2, d: 2, l: 3, j: 8}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -5\/6*g**3 + 0 - 3\/8*g**4 + 0*g - 3\/20*g**5 + 1\/120*g**6 - 3*g**2. What is the units digit of y(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 342 = -12*f. Let z(o) = -10*o - 67. Is z(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = 39*i - 3*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 11*p - 5. Determine k(15).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*d**3 + d**2 - 86*d**3 - 2*d**2 - d**2 + d**4 + 2 to q*d**4 + r*d + i*d**2 + f + j*d**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 6*p + 9. Let n be (1\/p)\/(2\/6). Which is bigger: -2\/23 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -350*(8 + (4 + (-168)\/40)*42). Which is greater: n or 136?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 6*q - 41)*((-1 - 1 + 0)*(-2 - 2 + 2) - 4 + 2 + 3)*(-3*q - 6*q + q).\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4685 + -4680. Let c = -2.1 + 1.9. What is the closest to -2 in u, 0.09, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, -0.2, 1.923, 4 in ascending order.\nAnswer: -5, -0.2, 0.5, 1.923, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 221 divided by 13\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 0*d**3 - d - d**3 - 2*d**3 + 9*d**3. Let x = 3 + 0. Suppose 0 = 2*z - x + 1. Determine f(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.5? (a) 2\/19 (b) 16902 (c) 5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + d = 4*u + 64 - 61, 10*u + 2*d = 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 6, c: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.619 to 2 decimal places.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 475824360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvv when three letters picked without replacement from {v: 4, e: 5, q: 1, s: 2, z: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 + (-13110)\/(-152) + (-35)\/(-4) + 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-29)\/(-9)) + (-16)\/(-72). Let i be ((-162)\/(-30) + -5)\/(u\/(-75)). Solve 9*y - 7*y - i = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3637880797?\nAnswer: 43, 2833, 29863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 480604*v**2 + 480602*v.\nAnswer: 2*v*(v - 240301)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/(-3) - (88\/12)\/(-11). Let f be 4\/(-22) - (-184)\/44. Let y(q) = 3*q - 5*q + 3*q + f. Let p(s) = s + 5. What is x*y(t) + 4*p(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 1)*(0 + 1 + 0)*((-2 + 5 - 2)*(-2*a - 5*a + 12*a) - a + 3*a - 4*a + 0*a + a - 2*a) to the form y + v*a and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 3) in base 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23778 - -386?\nAnswer: 24275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/8 + 2705*d\/8 - 112617\/4 = 0. What is d?\nAnswer: 86, 2619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkgnuy. What is prob of picking 1 n and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = a + 2*w, 5*w = -a - 2*a - 30. Let p(g) = 23*g + 44. Let l(y) = -58*y - 110. Let h(v) = a*l(v) - 12*p(v). Is h(4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24355022244 + 5?\nAnswer: -24355022235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 22, 0, -8, 3, -84.\nAnswer: -84, -8, 0, 3, 22, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1740 bigger than -203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78431 and 1586945?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 greater than 5327\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4943118.3 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -457 = -38*t + 417. Solve t*d + 265 - 127 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rifhjrhi. What is prob of sequence hi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 208777 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 637273 and 5499.\nAnswer: 5735457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 254. Let n(p) = -p + 255. What is -4*f(v) + 5*n(v)?\nAnswer: 3*v + 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404 = 462*c - 128*c + 1934 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(11) + 0 + ((sqrt(1375) - sqrt(55)) + sqrt(55))\/sqrt(5))**2 - (-3 + (sqrt(11) + -1 + sqrt(44) + sqrt(99) + -2)**2).\nAnswer: 36*sqrt(11) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 81128 divided by -4\nAnswer: -20282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**5\/20 - a**4\/4 + 5*a**3\/3 - a**2 + 3*a. Let f be w(-5). Let g = f - -6. Let r(c) = -c + 1. Calculate r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 330228 - 2315823\/7. Let a = q + 40743\/28. Let f = -859 + a. Find the common denominator of 35\/4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 100 + -54 + 50?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7068 divided by 1178\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Suppose -5*p - 5*l + 10 = -0*p, 0 = p + h*l + 2. Suppose -3*g - p = -25. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 0) + -54 + (-2 - (-11 - -1))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14573000 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 8*x + 2. Let y be j(-8). Let u(o) = -3*o + 6. Let m(g) = -13*g + 24. Let w(a) = y*m(a) - 9*u(a). Let k be -1 + -1 - 14\/(-2). Determine w(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1) - (-12 - -7). Suppose 3*a - 4*a = 3*q - 15, 5*a + 2*q = 49. Is a equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156447518 to the power of 1\/2, to the nearest integer?\nAnswer: 12508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.96 less than -87?\nAnswer: -81.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 996794\nAnswer: 498397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.027, -1\/5, 0.3, -2 in descending order.\nAnswer: 0.3, 0.027, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30549.3555 rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -17. Let o = -9 + w. Let p = 5.7 + -6. Which is the closest to o? (a) p (b) 0.1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + 3*(2 + -3). Let h = -39 + 235\/6. What is the second biggest value in 3\/2, f, h?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 11170 - 9284. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/5)\/(h*h**(-1)*h))\/((h*h*h\/h**(-4)*h*h*h*h*h)\/h*h**6) assuming h is positive.\nAnswer: h**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 - 2*y + 2. Let w(h) be the third derivative of h**5\/15 - h**4\/8 + h**3\/2 - 13*h**2. Calculate -3*m(r) + 2*w(r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9810 divided by -270\nAnswer: -109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 6*w**2 - 2*w + 3. Let g be s(-4). Is 43 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.3 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(4\/3)*t*(t*t*t\/(t\/t**18)*t)\/t)\/((t**23\/t)\/(t\/(t**(-2\/41)\/t))) assuming t is positive.\nAnswer: t**(211\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102420428.\nAnswer: 2, 11, 2327737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*f + 94*f - 103*f)*(0 - 1 + 0) - 21 - 30*f + 31*f + 1.\nAnswer: 49*f - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -10*q + 8. Let l(z) = -z**2 + 7*z - 10. Let m be l(6). Is i(m) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/x**(-1\/7)*x*x\/x**(-9)*x*x*(x**(4\/11)\/x)\/x*x*x)\/((x**(2\/3))**(-2\/17)*(x**0\/x)**(2\/59)) assuming x is positive.\nAnswer: x**(3309848\/231693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/6)\/(5\/(-2)). Suppose -3*m = i*m + 2*h - 12, -3*h + 11 = 4*m. Solve -4*u + 4*c + 28 = 0, 2*u = -c + m*c + 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4)*2)\/(237\/(-3318))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25a (base 13) to base 8.\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 147152 = -15*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**4\/3 + 15968*x**3 + 47824156*x**2 + 286753352*x\/3 = 0. What is x?\nAnswer: -5987, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527809.\nAnswer: 527809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17157 + -17145. Solve 6*u = 12 + c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 + -0.6. Let k = -3.2 + t. Are k and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26834 + -18740. What are the prime factors of u?\nAnswer: 2, 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -20)*(-12)\/(-15). Suppose c = r - 4*c - 12, -3*c = -5*r + k. Solve -u - 9 = r*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -874 - -796. Is -78 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 53*j - 64. Let l(z) = -50*z + 57. Calculate 2*b(t) + 3*l(t).\nAnswer: -44*t + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9899 divided by 3\nAnswer: -9899\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 145, 130, 115, 100?\n\"Answer: -15*z + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(288) - (sqrt(288) + 0)*5) + 5 + 1 + sqrt(288))*1 + 3.\nAnswer: -36*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 193748 = 4*x + 35148, 3*i = x - 39639. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -878307, -2, 1, -29 in ascending order.\nAnswer: -878307, -29, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2 - 4 + 4 + 4 + 6 - 3 - 1 + (-1 + 3 + 0)*(5 - 4 + 1))*(25*h + 14*h - 14*h) to the form c + t*h and give t.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3404979.\nAnswer: 3, 79, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10619 + 10617.3. Which is the nearest to 15\/7? (a) y (b) 4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 684 divided by -3\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Suppose 10*u - 5*u = h*t + 13, -t + 2 = 4*u. What is the biggest value in u, 2\/13, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m + 6. Let r be l(0). Suppose -2*g = -r - 2, -3*g + 7 = -f. Solve 2*j = 5*k, 3*j + f = 4*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-8)\/(-20))\/((-8)\/(-67090))*(1 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 0.5, 3\/11, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5 - 1089*b**4 - 131877*b**3 - 5556435*b**2 - 29894328*b - 43148268 = 0. What is b?\nAnswer: -134, -89, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 148913, 148925, 148943, 148973, 149021, 149093, 149195, 149333?\n\"Answer: p**3 - 3*p**2 + 14*p + 148901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(33\/4)\/z**(4\/7))\/(z\/(z**(-31)\/z))**(-2\/35) assuming z is positive.\nAnswer: z**(1339\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 190?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from {k: 5, h: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215190028 is divided by 2941?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*o**2 - 30*o**2 + 15*o**2)*(0 + 4*o + 0).\nAnswer: -184*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.77593 + -0.22407. Which is greater: z or 2796?\nAnswer: 2796","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 24*l + 1. Let d = -101 - -104. Let x(p) = -4*p**2 - 3*p. Let r(k) = -9*k**2 - 7*k. Let h(n) = d*r(n) - 7*x(n). What is h(j(w))?\nAnswer: 576*w**2 + 48*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 11 - (-1 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165979739 to the nearest integer?\nAnswer: 12883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**6 + 302*h**4 - 468*h**2?\nAnswer: -120*h**3 + 7248*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 303, 609, 913, 1215?\n\"Answer: -h**2 + 309*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1493 or 105?\nAnswer: -1493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c - 28*c = -93*c - 1824. Let w(z) = z**3 + 19*z**2 + 46*z - 30. Calculate w(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351268 > 1351269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -50.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70146895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 6903378.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -35*h**2 + 30*h - 60. Let i(u) = u**2 - u + 2. Let z(t) = 30*i(t) + q(t). Let v(j) = 17*j. Calculate z(v(f)).\nAnswer: -1445*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1751 + -107a8?\nAnswer: -12339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2\/(-12)*3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4679.38982 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 = 4*l, 5*l + r + 2*r = -61 + 56 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -20. What is the remainder when 59 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 4444426*a + 4444431*a - 31.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 14*x**2 + 14*x + 20. Let q(b) = 2*b**3 - 13*b**2 - 13*b - 20. Let t be (9\/(-18))\/((-2)\/8). Let m(u) = t*q(u) + 3*n(u). Is m(-15) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301112123 - -1110011?\nAnswer: -300002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49822 is divided by 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1199, -2525, -3923, -5387, -6911, -8489, -10115, -11783?\n\"Answer: y**3 - 42*y**2 - 1207*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7382066 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10680 and 0.3?\nAnswer: 3204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 - 8. Let g(y) = 11*y**2 - 2*y**2 + 26 - 3. Calculate 6*g(n) + 17*v(n).\nAnswer: 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-9) - (-7)\/3. Let s be (18 - -1) + 2 - -2. Suppose -9 - s = -d. Solve -b*w = 5*q + d, -2*q + 16 = -6*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4268260*y**5 + 4778273*y - 4?\nAnswer: 85365200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*o - 91 = 42 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817 = -96*c - 1693 + 206 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52\/12 + (-2)\/(-3). Suppose -4*b = 2*v - 96, 0 = -a*v - 0*b + b + 218. Let j = v + -12. What is the remainder when j is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from rjjjrrjrhjrrjrhhr.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**3 - 210*h**2 + 4*h + 178. Let o be w(-42). Solve -1880*t + 1878*t = o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 14) to base 2\nAnswer: -101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/10322 and 121\/9340.\nAnswer: 48203740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 10:48 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -90*y - 13702. Give z(-152).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoorrzzroorrzzzz. Give prob of sequence rz.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/80 and -27\/784.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 19*a**2 + 69*a - 19. Is b(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -484 - -1215. Is 43 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63*d*m**3 + d*o**3 + 21821*d*o - 272*d - 13*m**3*o**2 + 5*m**2 wrt o.\nAnswer: 3*d*o**2 + 21821*d - 26*m**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(-1 + 1 + j) + 7 - 7 + 3*j - j - 7*j - 2*j)*(-15*j**2 - 13 - 15 + 27).\nAnswer: 75*j**3 + 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2991.961 micrograms in milligrams?\nAnswer: 2.991961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1072 + -1074. What is the third smallest value in q, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 22*d + 3 + 260*d**3 - 51*d + 23*d - 258*d**3 - 3*d**2. Let a(x) = -2*x**3 + 2*x**2 + 6*x - 2. Calculate 3*a(p) + 2*c(p).\nAnswer: -2*p**3 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3602.42538 + 3601.9. What is n rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -3*z - 9*b + 202, 4 = -4*b. Solve z*j = 66*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4)*-1)\/sqrt(2)*5 - sqrt(198)\/(sqrt(55)\/sqrt(5)))*6)**2*5.\nAnswer: 23040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93791 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 15*a. Let i(p) = -5*p + 79. Determine b(i(v)).\nAnswer: -75*v + 1185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8845, -8895, -8945?\nAnswer: -8995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-482)\/(-6) + (-5)\/15. Let v = j + -80. Solve v = o - 0 + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 5. Let f be 4 + (-18)\/j*2\/3. Differentiate -24 - 18*k**f - k**2 + 12*k**3 + k**2 with respect to k.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -951*p**3 + 3*p**2 - p - 2. Let u(z) = z - 2. Suppose -2*i + 16 = 2*i. Let d be u(i). Let f be x(d). What is f rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43133426 (base 7) in base 6?\nAnswer: -210413422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -4, -1\/5, 2811, -0.3.\nAnswer: -4, -2\/3, -0.3, -1\/5, 2811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1957953 is divided by 1916?\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71147*f**4*s**3 + f**2*s**3 - 2*f*s**2 + 40011*s**3 wrt f.\nAnswer: 853764*f**2*s**3 + 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 13*v**2 - 13*v + 14. Suppose 12 = 14*o - 13*o. Let r be u(o). Solve -6*j + 5*j**r - 2*j**3 - 7*j**2 + 6*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5574*c + c**3 + 5574*c - 15*c**4 + 24*c**2 as b*c**3 + d*c + o*c**2 + w*c**4 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8685233, 8685230, 8685227?\n\"Answer: -3*z + 8685236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -50273 take away 0.039?\nAnswer: -50273.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 27. Let d be -1 + -1 + 1 + 5. Suppose -i - 3*i + d = 0. Solve 5*n = j*n + i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 236 = -9*v. Let x(d) = -d**2 + 51*d + 45. Let p be x(v). Suppose 3*n = -2*z - 2*z + p, 3*z = -4*n + 514. Is z a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/676*13 + (-218)\/(-104).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/12 + -2 + 2\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r - 145. Let s(t) = 3*t**3 - 18*t**2 + 29. Let d be s(6). Calculate the highest common divisor of d and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 20 = -5*o - 15, 5*f + 17 = o. Put o, -1, 5, -31 in descending order.\nAnswer: 5, -1, o, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 7*x + 10. Let z = x - 3. Which is smaller: z or 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqfqqfqqqqfq. What is prob of sequence qqq?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * -4709.\nAnswer: 122434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 115*w - 40*w - 9*w - 27*w**2.\nAnswer: -25*w**2 - 164*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a kilometer in meters?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + n**2 - 2*n + 2. Suppose 5*z - d = -0*d + 6, 2*d - 10 = -z. Let j be ((-2)\/(-2))\/(z\/4). Is 9 a factor of t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x - 10. Let p be d(7). Suppose 2*v + 2*u - 70 = 0, -v + 3*u = 6*u - p. Let t = 52 - v. Solve 5*y + t = -3*s, -3*y - s - 18 = 3*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 76 = -4*k + 5*y, 0 = 3*k - 4*y - 57. Let b = k - -6. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1026736 and -148.\nAnswer: 151956928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-42)\/56)\/(3\/(-8)) + 229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 6110, -1360 in ascending order.\nAnswer: -1360, 11, 6110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.5 minus 0.03791585?\nAnswer: -41.53791585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(6\/1) - 0. Let f = k + 17\/3. Which is the biggest value? (a) -10 (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/320 + 11*c**5\/160 - 35*c**4\/64 + 25*c**3\/16 + 46*c**2. Suppose u(i) = 0. What is i?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f + 5. Let h(q) = 665*q**2. Give j(h(z)).\nAnswer: -3325*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.019, -0.19924, -2\/5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2390*n - 210*n + 133*n + 579*n as a + d*n and give d.\nAnswer: 2892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - s + 1. Suppose -3*u - 5 + 8 = 0. Let f be -2 - ((-12)\/20 + 7\/(-5)). Suppose 2*v + 4 - 6 = f. Let i(z) = 2*z**2 + z - 1. Give u*d(h) + v*i(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 7*t - 10 + 12*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 + (-8 - -6) - (-40 + -24 - -71).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*t = 4 - 0, 4 = -5*k + 2*t. Solve -q + 0 + 1 = k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9507458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.69 + 2. Let q = s + -0.211. Let x = q + 0.001. Is -58\/3 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/3, -12, 4\/3, -1 in descending order.\nAnswer: 4\/3, -1\/3, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -16*m**4\/3 - 11930*m**3\/3 - 16337*m**2 - 53396*m\/3 - 5932\/3 = 0?\nAnswer: -1483\/2, -2, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9bc3 + 7?\nAnswer: -9bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -15\/2*u**3 - 1\/2*u**5 - 6 + 5\/2*u**2 + 7\/2*u**4 + 8*u = 0. What is u?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + 27. Calculate the highest common divisor of l and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2587479477?\nAnswer: 3, 11, 157, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 2*l**2 + l. Let w be j(2). Suppose -53 = -w*n - 5*u, -3*u = u - 20. Suppose -2*x = r - n - 21, -r = -3*x - 50. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1.89 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7457.999990321 + 7458. Round t to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180162.36 months to millennia.\nAnswer: 15.01353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -45, -4 in increasing order.\nAnswer: -45, -4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:33 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*h + 3*h + 234, -u + 218 = 3*h. Let c be (294\/(-35))\/(12\/(-40)). Calculate the highest common factor of u and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1487, 3242, 4889, 6374, 7643?\n\"Answer: -9*j**3 + 1818*j - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/3202 or 1?\nAnswer: 19\/3202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.52, -0.05, 0, -1?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 8\/11, -11, 2 in increasing order.\nAnswer: -11, -1\/2, 8\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5168585 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*8\/3)\/((-82)\/(-246))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3088783 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 205169227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 166*s. Let q(l) = -39*l**2. Calculate q(y(j)).\nAnswer: -1074684*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1702815002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - 4\/(480\/402) and -17\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1330 and 1290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2911 - 4*l + 5802 - 2926 - 2*l. Let i(a) = -a - 7. Give -11*i(b) + 2*n(b).\nAnswer: -b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 7*x**2 - 8*x + 3. Let p be d(-8). Suppose 70 = 2*r - 4*t + 28, -r - p*t = -1. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -17 - (-2 - -3)\/(-1). Suppose 15*j - 160 = 11*j. What is the remainder when j is divided by l\/20*(-35)\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + -24. Let l be 2\/(-4)*(2 + -3). Is l at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*(-630)\/(-525)*-1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249529 and 1204.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 2*l**7\/63 - 2*l**6\/45 - 2*l**5\/15 + 2*l**4\/9 + 2*l**3\/9 - 2*l**2\/3 - 249*l. Find s, given that a(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 382136814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppzpzzppzz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -15*d - 1. Determine m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 76 + 69)*(2*t**3 - 3*t + 3*t).\nAnswer: 310*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 188988 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h - 23. Let f be u(5). Suppose 2*t + 4*d - f = -2, 18 = 3*t + 2*d. Factor 22*z + 19*z**2 + 29*z**2 + z**t + 13*z**3 - 7*z + 21*z.\nAnswer: z*(z + 1)*(z + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 2*j**2 + 2*j + 3. Let k = -4 - -2. Let n be z(k). Let a = n + 15. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {h: 10, w: 9}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*c - 39 = 44*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**2 - 12*u**2 + 35*u**2 - 9*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 949*b**3*g + 15156*b**3 - 5*b*g + b - 12*g + 2 wrt g?\nAnswer: 949*b**3 - 5*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105403.\nAnswer: 109, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 352\/64*2\/(2 + -1). Let i(u) = k*u - 8*u + 2*u + 9*u - 1. Calculate i(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 + -81. Let f be h - -6 - (1 + -4). Let p(x) = -2*x - 7. Determine p(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 31*d + 235. Determine y(-23).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 26*m**2 - 2720*m + 38466. Calculate u(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4 + 12. Suppose -2*l + 4*f = l + i, 2*f = 8. Solve l = -v - 2*p - 8, 0*p - 10 = 2*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t - 5*t + 15100 + 15101 - 30201.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**3\/3 - 5*f**2\/2 - 4*f - 85395. Let j(d) = d**2 - 1. Let l = 4 + -2. What is l*j(m) - r(m)?\nAnswer: m**2 + 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 574 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 13201*p - 2768. Let b be s(-32). What is b rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q**(-2\/11)\/q)*q*q)\/q)**30*(q**(-1\/11))**(5\/7) assuming q is positive.\nAnswer: q**(7345\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 0.4, -4\/3, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 119, 130, 143, 158?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -301*t - 1222. Calculate l(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260491 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -55, -97, -155, -235?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 1406*n**2\/3.\nAnswer: n**2*(n + 1406)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3*s + 3 = 0, 0 = -1516*d + 1520*d - 3*s + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 14*w + 34 in the form z*w + g and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o + 3. Let j(w) = -8*w - 7. Give -2*j(f) - 5*k(f).\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4950 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1\/2 (c) 40.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -325611 take away -3917.757?\nAnswer: -321693.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - m**2 - 3*m\/2.\nAnswer: m*(m - 3)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 4*f - 3. Let n = 75 - 53. Let z be (n\/(-33))\/((-2)\/(-9)). Let p be d(z). Solve -4 = -2*a - p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 3*d**6\/80 - 19*d**5\/120 + 11*d**4\/48 - d**3\/12 + d**2 - 108*d. Factor m(j).\nAnswer: (j - 1)**2*(9*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -53*x**5 + 6*x**4 + 5*x**3 + 2*x - 91. Let v(a) = -a**4 - a**3. Let k(i) = c(i) + 5*v(i). What is the second derivative of k(t) wrt t?\nAnswer: -1060*t**3 + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a91 (base 12) to base 13.\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*-0.3\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 536\/104 + (-4)\/26. Let w(j) = 8*j**3 + 13*j**2 + 41*j + 29. Let x(c) = -c**3 + c**2 - c - 1. Let h(v) = p*x(v) + w(v). Factor h(l).\nAnswer: 3*(l + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/6 - -4)*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4246 divided by 22.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n. Let u = -49737 - -49736. Which is the second biggest value? (a) n (b) u (c) -51 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162 divided by 4?\nAnswer: 581\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10163 is divided by 340.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 214 + 229. Let c be (0 + r)\/(3\/9). Solve 0*v = 5*v - 4*n + c, -v - 3 = -2*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 5*w**2 - 13*w + 4. Let v(a) = 11*a - 13. Let l(o) = 5*o - 6. Let h(x) = 5*l(x) - 2*v(x). Determine -2*c(b) + 7*h(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -a + 15, -a = 3*s - 0*a - 9. What is the third derivative of -4*b**2 + 15*b**2 + 3*b**5 - 12*b**s - b**5 wrt b?\nAnswer: 120*b**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -334*d + 429*d + 3325 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - ((-2)\/(-1) + -4). Suppose f*a - a = 6. Find the first derivative of 5 + 3*u**2 - a + 1 wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3856 and 0.1?\nAnswer: 3856.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*q**3 + 2*q + 52*q**3 - 22*q**3 + 1 + 47*q**2 to the form v*q**2 + n + r*q**3 + i*q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (94 - 69) + 73 + -2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1532\/3619 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 0*m + 12. Let k = 24 + 40. Let h = -74 + k. Which is the smallest value? (a) 0.4 (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 11) to base 6.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 2, g: 4, y: 8, h: 4}. What is prob of picking 1 h, 1 y, and 1 g?\nAnswer: 128\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*v**2 - 13*v**4 - 39*v**2)*(v - v - 4*v) - 2*v**5 + 3*v**5 + 0*v**5 + (2*v + 2*v - 5*v)*(2*v**4 - 4*v**4 + 4*v**4).\nAnswer: 51*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, w: 6, m: 1, z: 2, i: 3}. Give prob of sequence mi.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12)*s**6\/s)**(-6\/11) assuming s is positive.\nAnswer: s**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 341*j**2 - 8*j - 15. Let c be o(-3). Calculate the highest common divisor of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5751343?\nAnswer: 13, 47, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6719.69 - -6685. Let a = s + 0.69. Let c be (16\/24*-2)\/2. What is the smallest value in a, -4, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016309 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 13164400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*f**2 - 7*f + 7*f + (2 + 0 + 0)*(-5*f**2 + 3*f**2 + f**2) - f**2 + 5*f**2 + 0*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akan when four letters picked without replacement from appknkaknpppk?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.29? (a) 2 (b) 431 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 36*y**2 + 183*y - 15. Give c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 3234*c**3 + 74029*c**2 - 565584*c + 1438528.\nAnswer: (c - 3211)*(c - 8)**2*(c - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1400404 (base 6) to base 9.\nAnswer: 127774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896)*5 - sqrt(56))\/(-1*sqrt(968) - sqrt(8)).\nAnswer: -19*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Suppose 25 - 7 = q*n. Let x(r) = r + 1. Let c(o) = -5*o - 6. What is n*x(j) + c(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 33. Suppose j - g - 30 = 0. Suppose -5*u + j + 15 = 0. Calculate the highest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4357713, 4357714, 4357715, 4357716?\nAnswer: 4357717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*x + 245 = 225, -3*x - 28 = 2*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 6. Let h = 2 + n. What is the closest to h in 0.5, 2, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 0, 4*m + 653 - 4185 = 5*h. Suppose -5*p - 3*z = 2212, 2*p = -6*z + 3*z - m. Is 2 - (-3 - -5) - p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 1008 = -6*w. What is the common denominator of 7\/6 and 2312\/w + (-2)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 7. Let l be r(3). Let m(y) = 12120444*y - 2 - 1 + y**2 - 12120442*y. Give m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 40. Let t be k\/(-9) + 57\/(-135). Which is the third smallest value? (a) 2\/7 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-3) + (-2457)\/(-273). Solve -z*s**3 - s**2 - 5\/3 + 3*s = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, c: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + (-17 - (-17 - 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.42 + -1.41999937. Round v to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 8*v**3 + 6*v**3)*(3 - 1 + 0)*(-5 + 61 + 17).\nAnswer: 1898*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(960\/(-512))*3\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 15*l + 8. Let t(j) = -j**2 - 35*j - 137. Let v be t(-4). Give g(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d - 3. Suppose 6 = -3*b, -80*y + 2*b - 32 = -84*y. Calculate k(y).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 17*s = -24 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -992\/15, 531, 0.2 in increasing order.\nAnswer: -992\/15, 0.2, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 455979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**4 + 7*m**3 + 16*m**2 - 35*m + 29. Let r(t) = 6*t**4 - 20*t**3 - 50*t**2 + 104*t - 88. Let i(x) = 16*k(x) + 5*r(x). Factor i(s).\nAnswer: -2*(s - 6)*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-33) - (-4624)\/22. Calculate the highest common factor of k and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2186\/12345 - 36\/823. Let l(k) be the first derivative of 1\/10*k**4 + 2\/5*k - 1\/5*k**2 + 6 - m*k**3. Factor l(c).\nAnswer: 2*(c - 1)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y + 940 = 0. Is y a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5 + 192*s**4 + 12288*s**3 + 262144*s**2 = 0.\nAnswer: -64, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-6)*(-12)\/(-8). Suppose -i + m*i = 0. Let w(p) = -14*p + 23. Let b(q) = -5*q + 8. Let s(y) = -11*b(y) + 4*w(y). What is s(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + sqrt(272) - sqrt(272)))**2 + (sqrt(153)\/(sqrt(9) - (3*(sqrt(9) + sqrt(36)\/sqrt(4)) - sqrt(9))))**2.\nAnswer: 33\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a centimeter in millimeters?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43910984 is divided by 2158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -81. Let p = o + 23. Calculate the remainder when 20 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and 1944419814472?\nAnswer: 1944419814480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5627517 - -269.\nAnswer: -5627248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/6 + (-9)\/270*-5)*-2. Which is the smallest value? (a) -2 (b) 3 (c) -0.09 (d) k (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/12*(-12)\/(-9). What is the third derivative of l**2 - 3*l**2 + l**c + 3*l**2 + 6*l**3 wrt l?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 10213122202?\nAnswer: -10213122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v = -57*v - 108 + 626 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -0.3. Let i = 4.072 + -0.162. Let r = 0.09 + i. Which is the nearest to 1\/3? (a) o (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 36006936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*d - 408, 429 = 19*l - 16*l + 2*d. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39079 less than -273526?\nAnswer: -273525.60921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 171*g**2 + 100*g - 70. What is the ten thousands digit of l(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843354121 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 317*q**3 - 2*q**2 + 10*q - 5. What are the prime factors of k(2)?\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1311.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -390 or -4\/603?\nAnswer: -390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16*l**3 - 14*l**2 - 5*l + 7. Let y(k) = -8*k**3 + 6*k**2 + 2*k - 4. Calculate 3*s(n) + 7*y(n).\nAnswer: -8*n**3 - n - 7","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 + 4*t**2 - 61*t\/2 + 26.\nAnswer: (t - 4)*(t - 1)*(t + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 11 = m. Let s(a) = 4*a**2 - a - 2. Let u be s(m). Suppose -2*v = 3*g - 9, g = v + 2*g - 5. What is the highest common factor of u and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.89749 centimeters in nanometers?\nAnswer: 418974900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 9*n**3 + 937*n**2 + 3 + 940*n**2 - 1875*n**2 - 42*n to r*n + i + f*n**2 + j*n**3 and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 15*b - 10. Let t be r(14). What is the highest common divisor of t and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14161584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 2 - 4 + l**2 + (4*l**2 + 2*l**2 - 4*l**2)*(-2 + 2 - 1).\nAnswer: -3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, o: 1, z: 2, q: 1, d: 1, i: 1}. Give prob of sequence qiz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 877008379 to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 2*r + 7*r)*(-4*r**2 + 3*r**2 + 0*r**2) + (-2207 - 1621*r**2 + 2207)*(10*r - 2*r + 3*r).\nAnswer: -17832*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 605 and 606 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y - 2*y)*(5*y + 0*y - 3*y) + 4*y**2 - 4*y**2 + y**2 + y - y - y**2 + (2*y - y - 2*y)*(4*y - 9*y - 6*y) + (2 + 2*y - 2)*(-3*y + 2*y + 0*y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: a6041 (base 14) to base 6\nAnswer: 12331001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 27 - 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48118 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, g: 1, m: 1, w: 1, c: 1}. Give prob of picking 1 c and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644710779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**5 + 11*a**4 - 10*a**3 + 16*a**2 - 11*a - 5. Let u(s) = -s**5 + 10*s**4 - 10*s**3 + 15*s**2 - 10*s - 4. Let h(y) = -6*u(y) + 5*x(y). Factor h(k).\nAnswer: (k - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 10) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 36919*u - 36921*u = 51, 3*u - 1101 = 78*k - 4*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109.54 - -170.8. Let n = -60 + s. Let v = n + -1.2454. Round v to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 71 - 221. Suppose -f = -l + 5*c, -c = -l - 2*c + 87. Let u = 154 - l. What are the prime factors of u?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-27)\/(-81))\/(3\/1458). Let f = a + 628. What is the remainder when f is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2\/7*z - 4\/21*z**3 + 2\/21 - 2\/7*z**4 + 4\/21*z**2 - 2\/21*z**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 5*l + 8 - 3*l.\nAnswer: 2*l + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 2:19 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1502366, -3004757, -4507170, -6009611, -7512086?\n\"Answer: -x**3 - 5*x**2 - 1502369*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 95 - 30 - 39*r**3 + 353*r**3.\nAnswer: 314*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4 + ((-5 + sqrt(343))*-6 - 6*(-4*(sqrt(7) + -4) + sqrt(7))))*5)**2.\nAnswer: -223300 - 84000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18856 is divided by 1715.\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 798 - 237. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*j + 2449 = 0, -5*c + 13*j - 12252 = 10*j. Is c smaller than -7352\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1229200 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.79 times -0.5?\nAnswer: 0.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 12) to base 13\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 7*k + 61 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 1 = 21*d - 27*d + 17*d, 0 = -d + 2*c - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89012 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*b + 5*k - 61, -2*b - 7 = -3*k. Put b, 354, -1 in decreasing order.\nAnswer: 354, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(63\/45) + 5. Solve -2*d + 3 = -2*s + 9, i = -2*s - 4*d + 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -738 - -707. Let w(m) = -32*m + 147. Does 64 divide w(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**5 - 4*p**4 + 7*p**3 - 6*p**2. Let a(i) = -i**5 - i**4 + i**3 - i**2. Let q be (-28)\/35*30\/4. Let y(r) = q*a(r) + g(r). Factor y(x).\nAnswer: x**3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17912 (base 16) to base 14\nAnswer: -27270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -500066 divided by -14\nAnswer: 35719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/297 - ((-3)\/1755 + (-4)\/26)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 6*b - 3. Let i be q(-6). Let o(h) = -h**3 - h**2 + 2*h - 2. Let u be o(i). Suppose -5*n + 550 = -u*n. Round n to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.6970186 hours?\nAnswer: 2509.26696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0329541 to three decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/8 - 165*r - 23307\/8.\nAnswer: 3*(r - 457)*(r + 17)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -8*(-4)\/2 + 2\/(-1) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**3 - 4*w**3 + 0*w**3. Let d(l) = 6*l**3. Suppose 7*q - 3*q - 19 = -3*z, -23 = -5*z + 2*q. What is z*d(j) + 4*i(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5539, 6288, 7035, 7780?\nAnswer: 8523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 55\/42 + 1\/42. Let w = -289301.9 + 289300. What is the nearest to 1 in -3\/7, w, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 25*a**2 - 26*a - 51. Let l be w(26). Let f = l + 55. Let p = 0 + 15. Solve -t = -f*t + p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*z**2 + 335*z**2 + 9*z**2 - 2*z**3.\nAnswer: -2*z**3 + 488*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222222 - 110?\nAnswer: -1000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/((-18)\/1647). Let q be (-69)\/1 - 840\/(-105). Is c not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 465, -3, 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2275 = 4*w, -26*q + 31*q = -w - 565. Let r = 850 + w. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/144 (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 2481633*h - 2481630.\nAnswer: -3*(h + 1)*(h + 827210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1001 + 1001. Which is smaller: f or 3\/164?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405*u**4\/4 + 946544985*u**3 + 2212216034117765*u**2 + 983206986045680*u + 109245215478080 = 0. What is u?\nAnswer: -4674296, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0*h**3 + 13 + 0*h**2 - 36\/5*h**5 + 0*h**4 - 6*h. Find the first derivative of u(k) wrt k.\nAnswer: -144*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/(2*sqrt(10)))\/sqrt(8))**2 + (sqrt(350) + (sqrt(350)*4 - sqrt(350)))\/sqrt(7).\nAnswer: 1\/2 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1564, -5, 0.1, -251\/5 in decreasing order.\nAnswer: 0.1, -5, -251\/5, -1564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 15*x**3 - 3*x**2 - 2*x + 1. Let d be w(-2). Let j = d - -50. Is (j\/(-14))\/((-1)\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -26. Suppose -t - o*h = -25, 0*t + t = 3*h + 30. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11022 (base 3) to base 13.\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 708 = -18*i. List the prime factors of i.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.27705 * -0.87\nAnswer: -0.2410335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from lyyll.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*c - c = -13, 0 = -2*x - 4*c - 12. Let b be (11\/4)\/((-1)\/x). Let l = 287 + -166. Calculate the greatest common divisor of l and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5192 + 5191.7. Which is smaller: 917\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1116 and 24583806?\nAnswer: 49167612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317 - 159*f - 159*f + 480*f - 161*f - 386.\nAnswer: f - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:45 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3491 is divided by 149.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 + 117793*i - 235585\/2.\nAnswer: -(i - 235585)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4*2\/(-12) + (-114)\/16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16516 (base 9) in base 4?\nAnswer: -2301123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196\/(-45448) + (-679)\/190?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.11 (b) -0.4 (c) -1\/4 (d) 44 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 8*r - 3. Let u be i(-7). Suppose 220 = m + u*k - 5*k, k = -2*m + 434. Is m 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 4780, 7813, 10850, 13891, 16936?\nAnswer: 19985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/18 + 2116*n**3\/9 + 8656*n. Let u(q) = 0. Calculate q.\nAnswer: 0, 2116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32722 is divided by 134.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*o = -910, 2*m - 945 = 6*o - o. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 divided by -402529\nAnswer: 82\/402529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 x when three letters picked without replacement from {g: 2, v: 6, e: 7, x: 3, b: 1}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8866 is divided by 48?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1. Let v(c) = -5 + 9 - c - c. Let p(x) = 4*b(x) - v(x). Let a(q) = q**2. What is a(p(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 11) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2815 times -387?\nAnswer: -1089405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 9*j + 3. Let a be w(-3). Solve -a*m + 22*m = 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 3*s + 6. Let g be n(-7). Let c = 42 + g. Calculate the greatest common factor of 40 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-3)\/(-90))\/((-6)\/45)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -11)*(-1)\/(-2). Let t(n) = 9*n + 1. Let l(k) = -6 + 1 + 5 - 4*k. Let d be ((-1)\/3)\/((-6)\/(-36)). Determine d*t(g) + j*l(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 21\/6*(-6)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + -0.27. Let r be (1 - 6)*(5 + 635\/(-125)). Do z and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46360261 rounded to 4 dps?\nAnswer: 0.4636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*l + 6402 = -287*l - 7353 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*j = -12. Suppose -3*k + k - 4 = 0, -2*k = x - j. Suppose -r + 238 = o, 2*r = x - 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f. Let t(m) = 9*m**2 - 5*m - 5. Let a(u) = 8*u**2 - 4*u - 4. Let y = -11 + 15. Let j(c) = y*t(c) - 5*a(c). Give j(i(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 41*n**4 - 6*n - 44. Let b(t) = 42*t**4 - 5*t - 43. Let p(f) = 6*b(f) - 5*s(f). Differentiate p(u) with respect to u.\nAnswer: 188*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (204\/(-36))\/17 - (-71)\/222. Put -3\/4, h, 5\/9 in descending order.\nAnswer: 5\/9, h, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 6 - o**3 + 14 + (o**3 + o**3 - o**3)*(1 + 1 - 1) - 2*o**3 - o**3 + o**3.\nAnswer: -2*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*c = -13*c + 98*c + 2471 + 4048 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 + -73. Let p be (((-4)\/(-6))\/2)\/1. Which is greater: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((-90)\/24)*28\/(-16)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 452 = w. Let p(b) = 113 + 4*b - w. Let d(j) = j**2. Calculate p(d(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/20 + j**4\/24 + j**3\/6 + j**2. Let m be 742\/(-154) - -5 - 13\/11. What is the units digit of y(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86712 divided by -6\nAnswer: -14452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 3447, -2\/119, -3?\nAnswer: 3447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189864 and 1158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 133109\/36 - 3697. What is the common denominator of -23\/9 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 less than 82\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.183 times 0.12\nAnswer: -0.02196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 5*z + 3. Let s be q(-6). Let m be (s\/(-9))\/(4\/48). Suppose 0 = m*j - j - 135. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*v = -1, -5*n + 17 - 12 = v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 104.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.5 (b) 0 (c) 5008 (d) -3\/4 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/13 + 40*p\/13.\nAnswer: -2*p*(p - 20)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65461 is divided by 121.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 8*p + 6. Let a = 15 + p. Solve -5*w + a - 2 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(44)*1)**2 + sqrt(176) + 2 + -4.\nAnswer: 4*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:24 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 884412298243\/83825694 - -15\/4656983. Let i = -10544 + v. Let h = i + -11\/3. What is the common denominator of -83\/2 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**5\/10 + 22*w**2 - 41*w. Differentiate q(k) wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-1)\/((-6)\/(-2)). Let 15*x**2 + 14*x**c - 14*x**3 + 2 - 5*x**2 - 6*x - 6 = 0. What is x?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000360122592 to 6 decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 0.3, 4 in descending order.\nAnswer: 81, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 11:02 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 5:06 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41720)\/(-189826))\/(((-2)\/(-14))\/((-5)\/(-5)))?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twg when three letters picked without replacement from kgwwwwtdtd.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + 332. Let k(n) = -7*n**2. Calculate y(k(x)).\nAnswer: 21*x**2 + 332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 0*f**4 + 2*f**4 + (-2*f**3 + 2*f**3 - 2*f**4)*(6 - 4 - 3) - f**4 + 0*f**4 - f**4 + (16*f**3 - 5*f**3 + 25*f**3)*(7*f - 10*f - 15*f).\nAnswer: -647*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 20 + 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 844200009 = j, -3*j = 4*d + 635259000 + 1897341016. Let s be 54\/243 + j\/18. What is s rounded to the nearest one million?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 4*o + o)*(0*o - o + 0*o)*(2 + 3 - 4) as d*o**2 + k + h*o and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 8*j - 7. Let f be n(9). Let s be -3 + (13\/f - 3). Factor -s*t**2 - 1\/2 + t.\nAnswer: -(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44.9 - -45. Is u <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 4*q - 63, 0 = 4*b - 2*q - 3*q - 34. Suppose b*c = 1085 + 1104. List the prime factors of c.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -14, -1\/6, -5, -11, 22 in descending order.\nAnswer: 22, 0.5, -1\/6, -5, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -239*k + 230*k + 37 - 11. Is g(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -64\/3. Let m = 34\/5 - 258\/35. Sort m, 3, c in decreasing order.\nAnswer: 3, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -33*v**5\/10 + 403*v**4\/4 + 283*v**3\/2 + 57*v**2 - 9574*v. Let k(d) = 0. What is d?\nAnswer: -1\/2, -2\/11, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwww when four letters picked without replacement from xwwwi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 3*d - 3*d)*((d**3 - 5*d**3 + 2*d**3)*(-10*d - 17*d - 21*d) + 3*d**4 - 5*d**4 + d**4).\nAnswer: -190*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/3 + 4*g**4 - 26*g**3\/3 + 8*g**2 - 8*g\/3.\nAnswer: -2*g*(g - 2)**2*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-12) - (-39)\/(-144). Let z(m) be the first derivative of 2 + 1\/6*m**3 + 0*m + 1\/8*m**2 - j*m**4 - 1\/10*m**5. Factor z(p).\nAnswer: -p*(p - 1)*(p + 1)*(2*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 1:22 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/245 and 74\/17170545.\nAnswer: 120193815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 + -93 - (-1 + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1972*z + 60*z**2 - 1972*z + (z - 2*z + 2*z)*(10*z - 5*z + 2*z) + (z + 3*z - 2*z)*(-4*z + 0*z + 3*z) to d*z + h + f*z**2 and give f.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -18 - -1 - -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, m: 3, l: 4, f: 8}. What is prob of sequence fmql?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*x + 5*i, 5*x - i + 2 = 14. Let t = 36 - 250\/7. Find o, given that -t*o**3 - 2\/7*o**x + 2\/7*o + 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 9*l - 5*l**2 - 22 + 2*l**2. Let f be v(4). Is 2\/(8\/(-1346))*f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422395000 rounded to the nearest 1000000?\nAnswer: -422000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.423321631 + 84.423322291. Let k = -152 + 75. Let u = s + k. Round u to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 26 = 5*q + 180, 4*q + 3*f = -140. Find the common denominator of 43\/7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1.3426?\nAnswer: -2.6574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 5*t**2 + 7*t + 8. Let j be y(-6). Suppose -j*c - 3*c = 0. Which is smaller: c or 1\/10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*y = -32, y + 52 = 5*p + 4*y. Let d be (-10)\/(-3)*12\/p. Let k be 2\/(-6)*-3 + (4 - 3). What is the third biggest value in k, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358, 278, 202, 130, 62?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 33. Solve 9 = -y*f + 6*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*u - 3970 = 72*u - 300*u + 4794 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + k = -3*k + 20, 5*k = -v + 25. Suppose -2*l + 12 + v = 0. Suppose 0 = -5*i - h + 177, 4*h = 2 + l. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 - 6345630*c**2 - 38073834*c - 57110778 = 0.\nAnswer: -3, 3172821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 724492147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/461 in 1\/5, -8\/13, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9037 take away 16?\nAnswer: -16.9037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12099618 is divided by 162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 388.08 + -384. Round j to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/140 and -33\/53500.\nAnswer: 374500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or 1\/77?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 72863, 145728, 218593?\n\"Answer: 72865*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 - -101. Put m, -2, -41 in descending order.\nAnswer: m, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53564 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64\/96 + 1 + 7130\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14 + 8*t + 14 + 16*t**2 + 10*t**3 + 2*t**4.\nAnswer: 2*t*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10386.85mm to centimeters.\nAnswer: 1038.685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-16) + (-29)\/4. Let x = 12 + q. Suppose -3*b + 28 = 5*o, 0*b = 2*b - x*o + 23. Calculate the highest common divisor of 2 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -598, -4133, -12 in ascending order.\nAnswer: -4133, -598, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 391*h**6\/120 - 165*h**3\/2 - h**2 - 370*h. Differentiate v(p) with respect to p.\nAnswer: 1173*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132222 - -4034?\nAnswer: -123133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/8 and 139\/4842?\nAnswer: 19368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4485071240 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 970*c + 121. Is t(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*q - 4*w, -30 = 3*q + 5*w + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*d - 30 = 0, 4*d - 8*d = -3*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 236*l**2 + 260*l**2 + 0 to h + m*l**2 + y*l and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0243 + 0.2967. Let o = -0.221 + t. Which is the second biggest value? (a) o (b) -0.4 (c) -4.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 9*u - 10. Let r be s(7). Let j(w) = -2*w + 3. What is j(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 13*y - 10. Let p be z(11). Suppose 3*s - 3*o = 48, -2*s + 44 = 3*o + p. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**3 - 27284*h**2 - 163812*h - 245772 = 0. What is h?\nAnswer: -3, 6827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 18 - 1\/1. What is the greatest common factor of 24 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, c: 13}. Give prob of sequence ccc.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine tenths of a second?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 290\/50)\/(4\/10). Solve 2*k + 11 = -3*r + b*r, 5*k + 29 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 - 2 - 3*l**3 - l**3.\nAnswer: -4*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 + -38. Suppose 3*n = 2*p + 4*n - 43, 3*p = -4*n + u. Let x = -19 + 43. What is the greatest common divisor of x and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -315870, -315841, -315812?\n\"Answer: 29*r - 315899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b5b215 - 1?\nAnswer: b5b214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by 2.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1129170 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*u + 25, 3*l - 4*u - 6 = 6*l. Suppose 7*z - l*z - 100 = 0. Suppose 0*y + 2*y = z. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/14)\/((-5)\/(-13695185)). Suppose 12*x + 28967090 + v = 0. Round x to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 261 = -0*m. Calculate the remainder when m is divided by (39 - -7) + (-4 - -3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 + 43*l**2 - 673*l + 453. What is o(10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 647*s - 1945*s + 1 + 645*s + 651*s - 1.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2168759 is divided by 18379?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wukk when four letters picked without replacement from {t: 4, u: 1, k: 3, w: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c + 1. Suppose -3*b = -2*b - 11. Let l = -10 + b. Determine p(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/((2 - 2) + 1). Suppose 3*n + 2 = -5*s + d*n, 3 = -3*s + 3*n. Solve 5*b - s + 22 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 26. Suppose 3*c - 3 = m, -2*c + 19*m + 12 = 15*m. Determine g(c).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 5*h + 11, 10*h - 5*z + 16 = 8*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 32338, 240 in decreasing order.\nAnswer: 32338, 240, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86092 + 543908. What is n 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 ten millions digit of 395093139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18099 - -29284. What are the prime factors of a?\nAnswer: 5, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(750) - ((-5*(sqrt(750)*2 + sqrt(750)) - sqrt(750)) + sqrt(750) + sqrt(750)))*-5)\/(5*3*(sqrt(600) + sqrt(600)*2 + sqrt(600))).\nAnswer: -5*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*q - 2296 = -14301 - 10444 - 5289 for q.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 5 (c) 1 (d) 1\/484\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 3 + 3 - 4 - 5 to z*l + c and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = 2*q + 4*n, 0 = 4*q - 6*q - 2*n - 206. Let m be 3416\/q*3\/2. Let u = -63\/10 - m. Calculate the common denominator of u and -125\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -56530, -56537, -56548, -56563?\n\"Answer: -2*x**2 - x - 56527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6268191?\nAnswer: 3, 2089397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-5)*3\/6. Let t = 90.017 + -85.74. Let k = t + -0.277. Which is the fourth biggest value? (a) 1\/2 (b) k (c) -5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from ttttvvv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10341047 rounded to 3 decimal places?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2947554875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.01 + -3. Let u = -15.17 - -14.77. Sort 4, y, u, 4\/7.\nAnswer: u, y, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 75*u - 287. Let s be t(41). Sort -80, 5, s in descending order.\nAnswer: 5, s, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/539 and -25\/248968951.\nAnswer: 248968951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 - -82. Suppose -r*i - 5976 = 15624. Round i to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*r + 5*t = 140*r + 358, 3*r - 354 = -3*t. Calculate the greatest common divisor of 1450 and r.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 9*l**2 - 3*l + 27. Let q be h(9). Let b(j) = -256*j + 255*j + 16 + 0 - j**2. Give b(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-4)\/(-2)*4\/24. Factor -s*b - 1\/3 - 1\/3*b**2.\nAnswer: -(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, b: 17}. Give prob of sequence byy.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4139420?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-7\/4)\/d))\/d**(3\/2)*d\/d**(5\/3)*d\/(d**9\/d))**(3\/4) assuming d is positive.\nAnswer: d**(-65\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 5*v - 27. What is a(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1711 = 1800*h + 573 + 7236 + 1280 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-40)*6*(-369)\/81 and -119\/114?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**5\/660 + 61*o**4\/264 + 31*o**3\/33 - o**2 + 1421*o. Find g such that j(g) = 0.\nAnswer: -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {j: 3, f: 4, n: 10, s: 1}.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 + -2.8. Let q = 0 + -4. Sort 0, y, q in descending order.\nAnswer: y, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7690.\nAnswer: 2, 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87.0000391 + 87. What is u rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -71978122273 and 5.\nAnswer: -71978122268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10332, -20846, -31366, -41892, -52424, -62962, -73506?\n\"Answer: -3*r**2 - 10505*r + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*o - 4*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 3*i**2 + 3*i. Let t(c) = -4*c**3 - 5*c - 22*c**2 - 17*c - 4*c**3. Calculate -6*t(q) - 44*u(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89.66 + 88.66. Let n = -5 + 3. What is the fourth smallest value in 0.4, n, -2\/11, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**6\/120 - f**5\/60 + 12*f**2. Determine i(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2202*f**4 + 154*f**3 + f**2 + 68*f - 1616 wrt f.\nAnswer: -26424*f**2 + 924*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((21\/(-2))\/7). Let n be g + 0\/(-5 - 0). Suppose -3*z = 2*z - m - 20, -2*m = -n*z. Solve -z*l = 5*v, -5*l - v = -5*v - 45 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 73 - 4*s**2 - 3*s**2 + 208 - 74.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2821)\/49 + (-360)\/252?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*l = 81, -5*j + 4*j - 3*l + 18 = 0. Suppose 0 = -v + 11 + 10. What is the remainder when j is divided by 3\/(-2)*(-238)\/v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**8*a**(-2\/7)*a)**(-18))**(-39) assuming a is positive.\nAnswer: a**(57564\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3453677 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49\/2 - 195\/8*m + 1\/8*m**2.\nAnswer: (m - 196)*(m + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - p + 3*p + 20 = -8*p, -3 = 5*i + 2*p + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.277 times -2.0329?\nAnswer: -0.5631133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 7:57 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27424 greater than 27424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 78030 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*c**3 + 4*c**2 - 6.\nAnswer: 30*c**2 + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 411*i**3*t**2*v**2 - i**2*t**2*v - 217*i**2*t - i*t**2*v**2 wrt i.\nAnswer: 2466*t**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 493 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -17*m**2. Let s(f) = 11 + 12 - 23 + f. What is i(s(t))?\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 29. Suppose 2*x - 34 = -2*z, o = 5*z - z + x. Let v = -1 + z. Solve 4 = -2*l + v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2. Suppose -4*k - 8 = -0*k. Let w be (-5)\/(-10)*k\/4. What is the closest to i in w, -0.3, -2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73.665 - -74. Round x to 2 dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*(-10)\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/243 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/70125 and 109\/3000?\nAnswer: 561000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51234.66 weeks to seconds.\nAnswer: 30986722368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-16))\/(270\/24)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 7*l**2 - 6*l - 2. Let i(m) = m - 15. Let w be i(-18). Let u = 39 + w. Give o(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.004 - -2.\nAnswer: 9.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Let p = 449 + -719. Let l = p - -274. Solve 5*f - 3*m - 25 = 0, s*f + f + 12 = -l*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 3. Let a(m) = -m - 1. What is 2*a(z) + c(z)?\nAnswer: z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11739959\/10 + -5837014\/5. Let z = f - 6586. Find the common denominator of -109\/10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*y**5 - 60*y**4 + 20*y**3.\nAnswer: -5*y**3*(y + 2)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 40637\/16193?\nAnswer: 40637\/16193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 times -103.98?\nAnswer: -17156.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007001 rounded to 6 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -74 (base 15) to base 5\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 536, 1072, 1608, 2144, 2680, 3216?\n\"Answer: 536*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*78\/13*(-13)\/(-52).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 3 - 3)*(2*v + 2*v - 6*v)*(4*v + 3*v - 3*v).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuvysuuuyuyyuyy. What is prob of sequence suuu?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11*m + 23. Is k(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -86\/195, -2, -4 in descending order.\nAnswer: -86\/195, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)*(-11)\/(-1). Let h = -6 - o. Let a(u) = -u**2 + 7*u - 2. What is the units digit of a(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2. Let j(t) = 6*t + 8. Let u(s) = -4*i(s) - j(s). Let k(r) = -21*r**2. Calculate k(u(l)).\nAnswer: -756*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**2 + 36*p - 2736 wrt p.\nAnswer: -4*p + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 1, y: 2, l: 1, g: 2}. What is prob of picking 1 y, 1 a, and 1 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/28*(-2352)\/(-63))\/(1 - 4). What is the biggest value in 0.04, v, -1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2\/3, 0.3, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4223 = g, -2*g - 6 + 16 = 0. Does 38 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-20) - (-216)\/(-270)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 0*i**6 - 7*i**2 - 1\/35*i**7 + 1\/12*i**5 + 0*i**4 + 0*i**3 + 0*i + 0. Find the third derivative of o(h) wrt h.\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 + -940481697507.\nAnswer: -940481697506.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**5\/120 + p**4\/3 - p**3\/6 + 2*p. Let s(u) be the second derivative of i(u). What are the prime factors of s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1559288 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12110 + -2211220000121?\nAnswer: -2211212211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9860.8 and -0.1748226.\nAnswer: 9860.6251774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29218604689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*z = -2892, 4*y + 0*z = 2*z + 2888. Let n = y + -45361\/63. Let s = n - 61\/126. Sort 2\/5, s, -3\/10.\nAnswer: s, -3\/10, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -24. Is 4 a factor of ((-84)\/(-35))\/((-3)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f - 303. Let k be r(-37). Let i(w) = w**2 + 10*w + 17. Calculate i(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 237148362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 125250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 23*z - 4*f = -46, -z - 5*f = -8. Calculate the remainder when 224 is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (133\/28 + 4)*8. Calculate the highest common factor of y and 420.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/54)\/(3\/(-19827)). Let j = b + -245. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**6\/60 - a**4\/24 + a**2 - 4. Let o(x) be the second derivative of u(x). What is the second derivative of o(g) wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*y - y - 19, 0 = -3*l + 9. Let f(p) = 4*p + 12*p**2 + 2 + 0*p**2 + p**3 - 7*p**2. Let i be f(y). Sort -1, 4, i in ascending order.\nAnswer: -1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/18 and 37\/10080495.\nAnswer: 20160990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 3 + 4 + 1 - g - 9. Let f(u) = -7*u**2 - 2*u - 6. Give f(c) - 6*j(c).\nAnswer: -c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**6\/15 - 2*r**5\/5 + 5*r**4\/6 - 2*r**3\/3 - 7*r. Factor o(t).\nAnswer: 2*t*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138614, 556813, 1253820, 2229641, 3484282?\nAnswer: 5017749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4160)\/(-24) + (-56)\/42. Sort 4, v, -1, -2.\nAnswer: -2, -1, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 23466965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -28*d - 1. Let x be (-9)\/6 - (-2)\/4. Is m(x) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - r. Suppose -q + 17 = 12. Let k(x) = 4*x**2 + 4*x + 8. Let u(f) = q*o(f) + k(f). Determine u(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 398*h + 367*h - 286*h - 27303 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2089*v - 20856. What is s(10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 3*l**2 + 5*l - 2. Let v be s(4). Let z be v\/(1 - 8738\/494). Let t = -2\/229 - z. Are 1 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**3 + 12*q**2 - 4*q + 10. Let m(v) = -v**3 - v**2 + v - 1. Let s(g) = 5*m(g) + y(g). What is s(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-3 + 5 + -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-10) - (-34)\/(-85). Suppose -4*o = -4*n, b*n - 3*o + 2 + 2 = 0. Calculate the greatest common factor of 16 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*n + 7 = 46, -g = -n + 3. Sort -16, 1, g in decreasing order.\nAnswer: 1, g, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(-1 - -3) - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 2*n**2 - 8*n - 8.\nAnswer: 2*(n - 2)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 132*v. Let m(r) = -r**2 + 134*r. What is 6*m(j) + 5*s(j)?\nAnswer: -j**2 + 144*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 + 3*k + 2. Let u be t(-1). Let v be u + 0 - (-10 - -18). Is -24 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + 52 + -52.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r + 2 + 18 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 18*w**2 - 73*w + 16. Let x be f(4). Solve 17*n - 23*n + x = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 4:25 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.848 rounded to 1 decimal place?\nAnswer: -60.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1718493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = o - 5*o. Suppose 5 = 2*z - z, -o*z = -3*b - 1. Suppose -115 = -b*a + 3*a. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -573 - -572. Suppose 0 = -a - a - 4. What is the third smallest value in u, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(4*h**2 + 8*h**2 - 4*h**2) + (-5*h + 3*h - h + 2*h**2)*(0 + 3 - 2)*(-2 + 3 + 0).\nAnswer: -22*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/3)*u*u*u\/(u\/((u**25\/u)\/u))*u assuming u is positive.\nAnswer: u**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12225 - -12224. Put -4, -2, n, -5, 4 in decreasing order.\nAnswer: 4, n, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0041417482 to 4 dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1061, -1062, -1063?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Let h be (-12)\/10*(-360)\/(-27). Let c(j) = -j**3 - 15*j**2 + 14*j - 9. Let y be c(h). Solve -3 = v - d - z, -4*v - y = d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a*a**(-1))\/a*a))**(-3\/2))**(-10))**(18\/5) assuming a is positive.\nAnswer: a**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/13, -3, -4, 7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -8.8.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n. Let h be (-6)\/4 - 4\/8*167. Let q(r) = 23*r - 6. Let x(c) = 323*c - 85. Let p(d) = h*q(d) + 6*x(d). Determine p(z(v)).\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66121284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 992 - 679 = 0. Let s = 6131\/11 - f. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 180*v. Let i(x) = 71*x. What is b(i(m))?\nAnswer: 12780*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 7 - p - 3*p - 5. Let m(u) = -5*u + 2. Give 4*m(g) - 3*t(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**3 + 856*r**2 + 39040*r + 204288 = 0.\nAnswer: -152, -56, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144619 (base 11) in base 7?\nAnswer: 1626655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/711*(9 - 4\/((-144)\/(-270))).\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/3 - 3349*g**2\/3 + 306883*g\/3 - 990605 = 0.\nAnswer: 11, 83, 3255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1033501 = -5*d + q, 2*d - 4*q + 6*q - 413386 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22556999 divided by -6?\nAnswer: 22556999\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*l - c - 0, -3*l + c + 11 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14521359889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(20)\/(1*sqrt(36)) + sqrt(80) + (-3*sqrt(80)*1 - sqrt(80))))**2.\nAnswer: 24500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65421 - 6?\nAnswer: -65430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 + g - g)*(34*g**2 - 212*g + 212*g).\nAnswer: 136*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73184*i*q**2 - 250323*i + 4*q wrt q.\nAnswer: 146368*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6962, 10796, 14630?\n\"Answer: 3834*m + 3128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -16*r + 14*r. Suppose 0 = -f + 2*o + 8, 0*o - r*o - 62 = -4*f. Suppose -2*w - f = -8*w. Solve 5*m + 35 = -5*t, 3*t - w = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (256\/640)\/(16\/(-70)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 5*t**2 - 3*t + 1. Let i(j) = 2*j**3 - 4*j**2 - 2*j + 1. Let f = 0 - 3. Give f*i(p) + 2*g(p).\nAnswer: -2*p**3 + 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*q**2 - 108\/7 - 36\/7*q.\nAnswer: -3*(q + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11*x - 1. Let l(f) = -3*f + 1. Let m(d) = 6*l(d) + 2*u(d). Let a(b) be the second derivative of -b**3\/6 - b. Calculate a(m(p)).\nAnswer: -4*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 0*k + 2\/9*k**4 + 2\/9*k**3 - 4\/9*k**2 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000498728791 to 5 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 237\/(-81) - ((-44234260)\/(-108))\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (150\/(-4))\/((-6)\/8). Suppose -w + o = -6*w. Let l be 288\/90 - (-2)\/w. Solve 4 = t - l*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*s + 2*s - 7*s - 13.\nAnswer: -2*s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2\/(((-4)\/(-12))\/(-1))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h = -31*h - 32. Solve 9*m - 4 = h*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 2 = 5*i + g, 0 = -3*g + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 4*c**3 - 12*c**3.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 420486649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139497569?\nAnswer: 29, 4810261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -5*z**2\/2 - z - 768. Give p(13).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-69))\/((-2)\/19). Let x = h + -2245\/92. What is the common denominator of x and -19\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24540564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67508.3l?\nAnswer: 67508300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 6)*(-2)\/1. Let z = 12 - h. Solve -3 = -z*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (160\/1088)\/((-4)\/(-15) - 0) and 11\/40.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/6411725 and 83\/525.\nAnswer: 134646225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*k = 38705 + 11230, 2*n - 49885 = -7*k. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899092 is divided by 20909.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 23. Let g = r + -3. Let t be (-4)\/(-10)*(-120)\/(-4). Calculate the greatest common factor of g and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 1\/2*p**2 - 1\/66*p**4 - p + 0 - 1\/330*p**5 - 1\/33*p**3. Let r(t) be the first derivative of m(t). Factor r(j).\nAnswer: -2*(j + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.226 - 0.126. Let m = -0.1278 - -0.1278. Which is smaller: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1 - (-20 + (-4802)\/(-252)))*-6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**5\/20 - y**4\/12 - y**3\/6 - 20*y**2 - 3*y. Let v be z(0). Let c = v - -57. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 218160 and 64640?\nAnswer: 1745280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -57.964. Let n = b - -1.136. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.31 times 1?\nAnswer: 2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/24 and 71\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*z + 5*c, 5*c - 4*c + 1 = -z. Let w(a) = z + 2*a + 0 - 4*a. Let n(i) = i + 4*i - 4*i. Give w(n(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 2. Let u be 12\/(-2)*(-3 - -2). Let z be t(u). Suppose -z*n + 84 = -2*b, n - 90 = -4*n - 5*b. Solve -m - 4*m - n = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*x + 32, -w - 5*x = 2*w + 29. Let k = w + 8. Put -4, k, -2 in ascending order.\nAnswer: k, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 4*(sqrt(85)*3 - sqrt(85)) + 1*sqrt(85)*-1)\/(3*4*2*sqrt(180)).\nAnswer: sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-22)\/6 + 3)*9\/(-36). Is t equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4503 (base 11) to base 15\nAnswer: 1b57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61.00000346 + -61. Round j to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -46. Solve -6*f = -f + v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 11.52, 1\/8, 42\/5, 1, -1, 6\/11?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -20.9. Let w = n - -0.1. What is the third biggest value in 3, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -6\/11, 1\/4, 15, 2, 6, -1 in decreasing order.\nAnswer: 15, 6, 2, 1\/4, 0.1, -6\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*b = 124*b + 136 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w + 5. Let x(y) = y - 1. Suppose 4*q - 198 = 110. Let a = q - 78. Let o be a\/2 - (-54)\/12. Give o*x(i) + k(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) 0.6 (c) -3 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18886968 a multiple of 554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 - 2*p**4 + 2*p - 22*p**2 + 21*p**2 in the form w*p + g + c*p**4 + z*p**3 + r*p**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6033881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 1\/2, -0.3, 17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/(-9)*18\/(-4). Let h = v + -6. Calculate the remainder when 45 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 17. Let t(z) = 3*z - 26. Let c(n) = 5*t(n) + 8*v(n). Let f be c(4). Suppose -f*r = -3*r. Is r less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 3 + (2 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -4, 0.4, -3\/7, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/42)\/(8\/32*-3). Let d be (2\/(-4))\/(-1)*0. What is the nearest to t in 2\/13, -0.3, d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1986 divide 103377258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -30?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2105, -2, 0.4, -1, 1, 2\/19?\nAnswer: -2105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**(-5\/7)*p**(-1\/2)*p**(-2) assuming p is positive.\nAnswer: p**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d - 2001 = 35*d. Calculate the highest common factor of d and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -56*u - 24. Let l(v) = -19*v - 8. Let r(y) = 17*l(y) - 6*t(y). What is the tens digit of r(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -537528 (base 9) to base 4.\nAnswer: -1032033032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52614 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/15)*t*t**6*(t**(2\/7))**(-6) assuming t is positive.\nAnswer: t**(562\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4645 and 55.\nAnswer: 51095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.78 + -0.58. Let o = -5 + f. Let p = -13.9 + 14. Is o equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5009*y + 46. Is f(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*j + 64, 4*j - t = t + 50. Let x(f) = -f**3 + 3*f + 2. Let l be x(-2). Let b = j - l. Solve 2*d + 0 = b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60313633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(45) - sqrt(24))\/((2*sqrt(96))\/sqrt(8)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-32)\/6)\/((-9)\/27). Suppose -4*u - c = m, 0 = 5*m + 7*u - 2*u + 20. Solve -w - 6 + 4 = m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 1173?\nAnswer: 1173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3, -9, -15141.9, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 4724366?\nAnswer: -1\/4724366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -25*v**2\/2 + 5*v + 1. Let m be d(-3). Let g = -34 + m. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 5:22 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 4104?\nAnswer: 4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 25 = n, s - 5*n = -3*s - 1. Let g(j) = j**2 + 4*j - 4. Let h be g(-4). Let b = s + h. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*c + 4, 2*u - 3*u + c - 1 = 0. Let t(g) = 2 + 2*g - 2 + u. Let q(p) = 3*p. Give q(t(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -55.3, 2\/9, 29, -0.1, 97?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.550017m in kilometers?\nAnswer: 0.001550017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, x: 8, l: 8}. Give prob of sequence xlsx.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 21549, -2, -3.\nAnswer: -3, -2, -1, 2, 21549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7494 is divided by 79?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626394.\nAnswer: 2, 3, 104399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -2, -92\/5, 0.2, -0.0425 in increasing order.\nAnswer: -92\/5, -2, -0.0425, 1\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*d + 2*d + 3*d**2 - 54*d - 31*d + 13*d.\nAnswer: 3*d**2 - 141*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 120\/(-36)*(-1296)\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4 - 0. Factor 11*f**4 + 4*f + 11*f**2 + 5*f**4 + 24*f**3 + f**h + 4*f**2 + 4*f**5.\nAnswer: 4*f*(f + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9342 is divided by 183?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5 - (-9)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -176, -1067, -3492, -8219, -16016, -27651, -43892?\n\"Answer: -128*w**3 + w**2 + 2*w - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 + 2\/(-4). Let k be d - -2 - 30\/(-2). Let n = k + -8. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 0.2 (c) 2\/277 (d) 6 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*y**4 + 47*y**4 + 4*y - 4*y + 6 + 0*y - y**2 - 2*y to o*y**4 + f*y + a + d*y**2 + h*y**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o**2 + 0)*(2*o - 3*o + 13*o)*(62 + 0 + 18).\nAnswer: 960*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228137 and 1196?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -14*l - 2. Let n(x) = -2 - 6*x + 5 - 4 + 0. Let w(g) = -11*g - 2. Let d(i) = -7*n(i) + 3*w(i). Give -8*d(m) - 5*s(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w - 2. Let r be q(1). Suppose 2*m + 0*m = -4*p + 308, r*p = -3*m + 474. Calculate the greatest common factor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 s when three letters picked without replacement from srsroossrsr?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18182 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (525\/84)\/((-2)\/(-24)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5 + 7316*s**4 + 95380*s**3 + 242224*s**2 + 227582*s + 73420 = 0.\nAnswer: -10, -1, 3671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*2\/(-10)*(-1920)\/(-256)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:57 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13, -3 in decreasing order.\nAnswer: 1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 6*v + 540. Let r be t(26). Let s = -8.3 + 8. Which is the third biggest value? (a) r (b) 0.2 (c) s (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*w = 164*w - 594. Solve w = 12*q - 38 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 4*r - 3*s, -47*r + 58 = -51*r - 5*s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 3*b + 1810. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -188\/3 in 1\/3, 62, -5\/374?\nAnswer: -5\/374","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - p - 510 - 19068 = 0, 24479 = 5*a + 2*p. List the prime factors of a.\nAnswer: 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 79624.34 weeks?\nAnswer: 13376889.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -256*o**3 - 10*o**2 - 10*o + 77. Is n(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5591309 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -67, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*f = 312 - 57, k - 4*f = 31. Let u = 11 - k. Let j = 1 - u. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -193 + 189. Put -3, -34, a, 2 in ascending order.\nAnswer: -34, a, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/2165 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -616 - -1183. Calculate the remainder when y is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5 - 7*t - 4*t**2 - t**3 - t**2 + 4*t**2 - 7*t**2. Let z(o) = o**2 - 7*o - 1. Let p be z(6). Calculate n(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, 3, 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -240 + 245. Suppose 3*z + 3*h - 46 + 22 = 0, -x = -4*z + 5*h. Let y = 8 + -2. Calculate the smallest common multiple of z and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 3, m: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 11:32 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1005 divided by -1005\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1014847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7372721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78541.\nAnswer: 78541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 3. Let s = d - -20. Let u(h) = -8*h + 53. Let r be u(6). What is the smallest value in r, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52355747 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/2592 and -151\/1296.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -600 + 599. Let q be 3\/h + (-61 - -35). Is q less than -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -5655 + 0 + -2. Let n = i + 40129\/8. Let y = 642 + n. Find the common denominator of y and -37\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzvzvlzvlzci. What is prob of picking 1 z and 1 v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138604, -139552, -140500, -141448, -142396, -143344?\nAnswer: -144292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 299048810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22 (b) 5 (c) -9 (d) 4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1165\/430 - (-15)\/(-10))*(-26)\/8.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 0.2, -5, 4, -8925, -27?\nAnswer: -8925","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 3. Let m(g) = -7*g**2 - 8*g - 23. Let h(u) = -3*u**2 - 4*u - 11. Let r(j) = -9*h(j) + 4*m(j). Determine -7*k(a) - 3*r(a).\nAnswer: 3*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316117 is divided by 11288.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -10 - (-5 + 8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, -453359.\nAnswer: -453359, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**4 + 2*t**2 + 3*t. Let i(o) = o**4 + o**2 + o. Let g = -3 + 0. Let m(v) = g*i(v) + n(v). Find the third derivative of m(a) wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*s + 384 = -62*s. What is the remainder when 75 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-35))\/((-8)\/(-80)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 560 and 176288.\nAnswer: 881440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185097*-358.\nAnswer: -66264726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12857*j = -12862*j - 3*r + 7*r + 8, 33*j - 10*r = 102 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 201*s**2 - 2*s + 4. Let k(q) = -139897*q**2 + 1393*q - 2786. What is -2*k(d) - 1393*l(d)?\nAnswer: -199*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122991?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h + 2*f, h - 3*f + 19 = 3*h. Let w = 0 - h. What is the nearest to 0.1 in 0.3, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -345*f*o**3*y - 2*f*o**2*y + 270*f*y - o**4*y + o**3*y + 4*y wrt o.\nAnswer: -2070*f*y - 24*o*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*w*x**5 + 13799*w*x**4 - 2*w*x**2 + 10*w*x + 263*w + 3*x**2 wrt x.\nAnswer: 840*w*x**2 + 331176*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o = -56*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 9:29 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 12 = 0, -5*b - 3*l + 6 = -6*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 53 + 38 = 0. Let t(l) = 53*l**2 + 5. Let d be t(m). Let b = 3177 + d. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7439923*d**2*o**3 - 4*d**2*o**2*x**3 - 2*d**2*o**2 - 2*d*o**3*x**3 - 1388*d*o**2*x**2 + 7*d*o - 5*o**2*x - 4*o*x**3 wrt o.\nAnswer: 44639538*d**2 - 12*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 + 0*g**2 + g**2)*(-62*g**3 + 21*g**3 - 19*g**3).\nAnswer: -360*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 6, 2.9, 2\/107, 0.5?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7392?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 3*i + 3*i + (-3 + 2 - 1)*(i - 3*i + 3*i))*(-2*i**2 + 5*i**2 + 4*i**2) as t*i**2 + q*i + f*i**3 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9240 divided by -330\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 d when four letters picked without replacement from deedddezee?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29785161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1362)\/10*(-30)\/3. Let b = q - 667. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 128.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {d: 1, p: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25098 and 96?\nAnswer: 401568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/28523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3 - 970718*h**2 + 163122960*h - 6851757024 = 0. Calculate h.\nAnswer: -485527, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2) + 2 + ((sqrt(32) - sqrt(512)) + sqrt(2))**2 + sqrt(2).\nAnswer: 2*sqrt(2) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -63*b - 19. Let q be u(-1). Let n = 61 - q. What is the remainder when 130 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2982 is divided by 245?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4200715 divided by 29\nAnswer: -4200715\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94 and 38.\nAnswer: 3572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**4 + 2*z**3 + z**2 + 2*z + 5. Let m(h) = 5*h**4 - h**3 + 21*h**2 + 17*h + 2. Let g(t) = 4*a(t) - m(t). Let g(x) = 0. What is x?\nAnswer: -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(42\/(-164)) + (-4)\/6. Let y be 1\/(1\/57) - 1. Let u = k + y. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, z: 1, j: 5, f: 1}. What is prob of picking 1 z and 1 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.26901ml to litres.\nAnswer: 0.00026901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 20*a**2 + 6 + 12 - 10*a - 19*a**2. Let d be s(8). Suppose -2*c - 4*y = -3*c - 16, -c + d*y - 6 = 0. Solve 5*n = 3*q + q - 17, c*q = 2*n + 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173796 and 3192.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -271 + 267. What is the smallest value in -5, u, 2\/9, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -s - 4*p, -5*s + 0 = 2*p - 11. Let o be 0\/(-2) + s\/2. Factor 0*r + 3\/2*r**5 + 0*r**2 + o*r**3 + 3*r**4 + 0.\nAnswer: 3*r**3*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(-4*q + 4*q - 2*q)*(17*q - 17*q - 9*q**4).\nAnswer: -54*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbb when three letters picked without replacement from {h: 2, b: 4, m: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 6*k)*(-6*k**2 - 2*k**2 - 2*k**2).\nAnswer: -50*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**4\/24 + o**3\/6 - 2*o**2. Let q be j(-1). What is the third derivative of -3*x**2 - x**2 + 2*x**q + x**4 wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-220)\/4*3. Let r = i + 232. Let g = r - 15. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/20 - 7\/5. Let k = a - -5. Let n = -8 - -6. Sort k, 1, n in descending order.\nAnswer: k, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 2. Suppose -t + 4*t = -6. Let q be h(t). Let o be (2 - 1*-3) + 0. Solve -q*j + j = o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23663877, 23663878, 23663879, 23663880?\nAnswer: 23663881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 414022 + -1414123?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 34 = -3*v - l, 0 = -4*v + 3*l + 37. Let j = v - 8. What is the greatest common divisor of j and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-156000)\/(-14))\/(14\/245). What is q rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/5, -14, -0.5.\nAnswer: -14, -0.5, 31\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8901 divided by -87?\nAnswer: -2967\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/13 + 54996*y**2\/13 + 378070002*y\/13 = 0 for y.\nAnswer: -13749, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -937 times 0.5\nAnswer: -468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (55 + -47 + 5 + -6 + -18)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 13277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 0.122346?\nAnswer: 0.177654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(735)*2)\/(2*sqrt(25)\/sqrt(5)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -58a4952?\nAnswer: 58a494a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(5\/(-10225)*-20))\/((-1)\/132)?\nAnswer: 2, 3, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/3200 and 99\/4000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k - 64 = 0. Let c be 24\/16*k\/6. Put 3, -4, c in ascending order.\nAnswer: -4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990547 is divided by 1123.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 350, 272, 216, 182, 170, 180?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, u: 2, j: 6, e: 9}. Give prob of sequence uu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/616 and -145\/4368?\nAnswer: 48048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 287119 + 28747 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 103.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*k - 10 = 0, -i - k + 11 = 3*i. Solve m - 26 = -i*v - v, 2*v + 5*m = 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 3544124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 12:57 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 4*w - w - 3*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -105*y**2 + 146*y**2 - 71*y**2. Let o(k) = 2*k. What is o(f(l))?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 671 + -454. What is i rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10208174*t - 5 - 3402698*t - 3402764*t + 5 - 3402710*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*x + 2*s, 2*x - 3*s = -x + 24. Suppose 1 = -5*q + x. Suppose 2*i - 21 + q = 0. Solve -i = -4*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46249965?\nAnswer: 3, 5, 1027777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 27. Does 20 divide (-6 + 78 - 1)*(i - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {z: 1, m: 4, b: 1, c: 3, s: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1841832589 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybbbbvyccvbbvvy. Give prob of picking 2 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaoujrjaouaaauuuo. Give prob of sequence auu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99682 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, 0.3, 5, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 3:36 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*b - 45067739 = -231*b + 56619406. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 - 10*w - 95. Let q be l(-13). Let a = -382 - q. Let f be (-143)\/(-4) - 3\/(-12). Calculate the highest common factor of f and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3130 (base 4) in base 16?\nAnswer: dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 38, 82 in decreasing order.\nAnswer: 82, 38, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 110 + -41 - 23.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 45, 197, 511, 1035, 1817, 2905?\n\"Answer: 8*y**3 + 33*y**2 - 3*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 367 + -372. Let r(t) = -t**2 + 19*t - 59. Let i be r(15). Which is the third biggest value? (a) i (b) -1\/19 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, -21\/11, 2.\nAnswer: -5, -4, -21\/11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 - 48*p**2 - 277*p**2 + 70)*(0 - 4 + 5 + (-2 + 3 + 1)*(1 - 1 - 1) + (3 - 2 - 2)*(0 + 4 - 3)).\nAnswer: 650*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3 + 76*s**2 + 510*s + 792 = 0. What is s?\nAnswer: -3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -235452.\nAnswer: 2\/19621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 813061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76336343786 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -31.1. Let f = -0.87 + 0.07. Let r = -3.8 - f. Which is the second biggest value? (a) 1 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15416 + -554939\/36. Find the common denominator of y and (-2)\/6 - (-81842)\/(-1812).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 41*o**3.\nAnswer: 41*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -325 (b) 93 (c) -91 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -4.8. Let d = -22 - u. Let y = -16.999966 - d. Round y to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:38 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031301230 (base 4) in base 11?\nAnswer: 367334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/7)*((q\/((q\/q**(-5))\/q))\/q)\/q)\/((q**(-16)*q)\/q**(-1\/42)) assuming q is positive.\nAnswer: q**(353\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 5:38 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/3405579 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0069320626 to six dps.\nAnswer: -0.006932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2864.653 centuries to months.\nAnswer: 3437583.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 19. Let n = -38 - -86. What is the highest common factor of v and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5397, -5391, -5371, -5331, -5265, -5167, -5031?\n\"Answer: n**3 + n**2 - 4*n - 5395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -348*q**3 - 511690*q**2\/3 - 63704*q\/3 - 1960\/3 = 0.\nAnswer: -490, -2\/29, -1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 33*k**2 + 11*k. Let u(g) = -17*g**2 - 6*g. Let z(y) = -6*a(y) - 11*u(y). Let r(j) = -3*j**2. What is z(r(p))?\nAnswer: -99*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2 = i. Suppose -x + 361 = -4*p + 2*x, -161 = i*p + 5*x. Calculate the common denominator of (-619)\/77 + (-16)\/p and -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 83, 197, 377, 635, 983?\nAnswer: 1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 37*g - 94. Let a be d(-36). Let k be (6 + a\/10)*0. Let q(m) = -m**2 - 12. Calculate q(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 978 = 2*y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o - 5. Let r be u(3). Is 9 a factor of (-2)\/3*(-189)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-1)\/((-12)\/(-32))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 = -4*g + g, -3*g + 6 = 3*y. Suppose l - 24 = -g*l. Suppose 18 = -l*d + 9*d. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - b + 4. What is f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/150918 and 55\/36?\nAnswer: 905508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/5))**(1\/8))**(-20)*(n**(-1\/7)*n**(-1\/3))\/(n**(5\/4)*n*n*n**3*n) assuming n is positive.\nAnswer: n**(-607\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkwuk. What is prob of picking 2 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 411\/2 - 5363\/26. Let s = 6 + -6. Suppose -5*w + w = s. Is q bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h - 75. Let v be s(10). Let u be 4\/(-100)*v*-4*-5. Solve u*w + 8 = 0, -5*g + 2*w - 4 = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -185, -191, -197, -203, -209?\n\"Answer: -6*s - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14442730 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**7\/6 - 7*q**3\/3 - 22*q. Find the second derivative of j(a) wrt a.\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 557. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:01 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 482701 + -2436381\/5. Let s = n + 163557\/35. Let y = s - 98. What is the closest to -0.2 in y, 1\/9, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 + 2282*j**2 + 63 + 848*j**2 - 984*j**2 to the form h*j + o + w*j**2 and give w.\nAnswer: 2146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5943, -47502, -160307, -379980, -742143, -1282418?\nAnswer: -2036427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5025530987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2799791*i + 2799963*i - 5848 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -729*t + 731*t + 2, 0*t + 15 = -2*b + t for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2348, -4694, -7040, -9386, -11732, -14078?\n\"Answer: -2346*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 4*z**2 + 2*z**2 + 534621029051*z**3 - 534621029053*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -46761 <= -46763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825 = -5*r + 5*g, 388 - 1223 = -5*r - 5*g. Let b = r + -6808\/41. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10*t**2 + 2*t - 3. Let d(z) = -21*z**2 - 3*z + 6. Let p(h) = d(h) + 2*v(h). Let a(x) = 2*x - 9. Let u be a(6). Determine p(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 8*s**2 - 3*s - 19. Let h be c(-8). Let f = 14 - 4. Let l = 17 - f. Solve 2*w = -3*g - h, -4*g = w + 2*w + l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 6*g. Suppose g = a + 5 - 41. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.3 - 17.6. Which is the nearest to 16? (a) -3\/7 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33247, -33214, -33171, -33112, -33031, -32922?\nAnswer: -32779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 58\/167, 140, 0.04, -0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5916 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 15*q - 18*q. Let w(m) = m**3 - m**2 - 2*m + 66. Let r be w(0). What is the greatest common factor of r and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661.8 plus 1108576.5?\nAnswer: 1109238.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - -0.31. Let m = 37.6 + -34.6. Which is the smallest value? (a) -6\/11 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -73\/4, 4, -1, 0.54?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506333658.\nAnswer: 2, 3, 84388943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-27) - (-56)\/9. Suppose 104 = f*a - 2*a. Let u = a - 80\/3. What is the second smallest value in u, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4527 - 5?\nAnswer: -4531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((-10)\/4 + 4) - -2. Let z(s) = s**2 + s - 28. Let j be z(d). Suppose -4*b + 590 = j*t, 3*b = 2*b - 3*t + 140. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57422 + 57422.37021. Let v = -3 - -2.63. Let r = q + v. What is r rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 19*a + 12. Let j be o(9). Sort -1, 0, j in decreasing order.\nAnswer: j, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-1)\/((20\/12)\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 - 268 = -7*x + 250. Calculate the greatest common factor of x and 1390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44909\/10242 - -7\/1707. What is the common denominator of g and -46\/15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*w = 15 + 2, 0 = -5*w + 25. Let c = l - -8. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -133 + 136. Solve -2*p + n*p + 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -18*m**2 + 2*m - 135. Let l(h) = 23*h**2 - h + 138. What is -5*f(w) - 4*l(w)?\nAnswer: -2*w**2 - 6*w + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hihhiqqbihyihhqhqyh. Give prob of picking 2 i and 1 y.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -40 + 11 + 36\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 98858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17067794873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 2, g: 2, y: 1, t: 1, k: 2}. Give prob of picking 1 g and 1 x.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 5 + 6)*(1 + 3 - 6) - 2 - 1 + 2)*(-5*u**5 + 5*u**5 + 5*u**5).\nAnswer: -155*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27403, -54817, -82231, -109645?\n\"Answer: -27414*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14*4\/((-28)\/(-49)). Let y be 2 + (-2 - -3) + -1. Suppose -v*l + 24 = z, y*l - l - z - 6 = 0. What is the remainder when 37 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -17*y. Let u(d) = -14847*d. What is t(u(s))?\nAnswer: 252399*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.6, -2, 3.7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2. Let t(x) be the second derivative of 0*x**2 + 0 + 4\/3*x**4 + 0*x**3 + 2*x. Calculate i(t(o)).\nAnswer: -256*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 1. Let m(l) = 4*l - 3*l**2 + 19 - l**2 + 12 - 27. Calculate m(t) + 4*y(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(108) + sqrt(3) + sqrt(147) + 0)**2 + -6*(((-3*sqrt(36) - sqrt(36))\/sqrt(12))**2 - sqrt(3) - sqrt(3)).\nAnswer: 12*sqrt(3) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120376 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynnynnynyyyyppyypgyy. Give prob of sequence ngn.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47, 70, 71, 38, -41, -178?\n\"Answer: -2*m**3 + m**2 + 34*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -13 + -36 - -76.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - sqrt(11))*5 + 5 - 3*((sqrt(88) - (sqrt(88)*2 + sqrt(88)))\/sqrt(8) - sqrt(11)))**2*-5.\nAnswer: -10905 - 700*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let m(y) be the first derivative of 2*y**2 - 52. Determine v(m(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -10679 - 37319. Let q be m + (-16 - -11)*(-2)\/(-10). What is q rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580236 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*h - 17 = -7, 4*s = -3*h - 13. Which is the closest to s? (a) -2\/25 (b) -7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438373?\nAnswer: 13, 33721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1230 * 139679\nAnswer: -171805170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l**2 - 172*l - 2881. Determine k(24).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4726948380 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 - (112 + -23 + -22)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -88 (b) 41\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20579 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 37*p + 19. Let k be (-14)\/10*(-2 + 7). Let z be s(k). What is the units digit of (-73)\/(-15) - 32\/z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, s: 4, a: 1, y: 1}. Give prob of sequence sa.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = 0, -k + 33 = -9*d + 6*d. Let n = 7 + 1. Calculate the remainder when k is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -2*w**5\/15 - w**4\/24 - w**3\/6 + 2*w**2 + 6. Let h(q) be the second derivative of x(q). Calculate h(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11681 or -11753?\nAnswer: -11681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = i + 5, -25 = -3*i - 0*i - 5*x. Let f = -0.3 + 0.5. Let d = 0 + f. Is d less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28486.3 to the nearest ten.\nAnswer: -28490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/y)**(-3)\/(y**(-1\/4)*y**(-8)) assuming y is positive.\nAnswer: y**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7366 + 2)\/((-375)\/30 - -14)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 24\/7, -4\/3, 28, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*w - 2*w = 418, -4*a + w = -836. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -0.4 (b) 2\/35 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7\/(m**3\/m))\/(m**(-1\/7))**(-26) assuming m is positive.\nAnswer: m**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -249a23 (base 12) in base 3?\nAnswer: -1010100210100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqzrsbqk. Give prob of sequence zb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 - -1011?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9312889.\nAnswer: 17, 547817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q + 20 = -4*o, 0 = -5*q + 3*o + 15. Solve q*k + 15 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 10555?\nAnswer: 73885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = -9. Let d(k) = -k**2 + k + 1. Let x be d(f). Let w(j) = j - 2. Give w(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7970 from 18007949.\nAnswer: 17999979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 12*l. Let k be n(12). Put k, 3, -3\/7 in descending order.\nAnswer: 3, k, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1725 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1 (c) -2\/11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*l + 2953 + 67 = 0, 5*j = 2*l - 3810. Round j to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 3:15 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -2648250?\nAnswer: -529650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334550.\nAnswer: 2, 5, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8605*o - 395. Let q(g) = 478*g - 22. Let y(p) = 6*k(p) - 110*q(p). What is the hundreds digit of y(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 15*z**2 + 34*z + 104. Let x be d(-13). Which is the closest to -3? (a) -8 (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6215482 * -3\nAnswer: 18646446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310*a**3*b*g + 32125*a**3*g - 2*a**2*b + 33*a**2*g + 884*a*g + a - b*g + 33*g wrt a.\nAnswer: 1860*b*g + 192750*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5208265.\nAnswer: 5, 1041653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131.5 + -131. Let x = 5.436 - 0.036. Let i = -5 + x. Sort i, 4\/3, z in descending order.\nAnswer: 4\/3, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263451370.\nAnswer: 2, 5, 7, 13, 29, 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 12 - 2. Let c be (7\/q)\/((-6)\/12). Suppose -j = -5 - c. What is the greatest common divisor of j and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7494153014 to the nearest integer?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 77 = -86, 2*r - 12*m + 118 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 5*y**2 + 4*y + 9. Suppose 0 = -2*j - 5*z + 6 - 5, 4*j = 3*z + 15. List the prime factors of f(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1130 (base 4) to base 2\nAnswer: -1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (62 - 9) + -28\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -232?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 440828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 480834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2660 and 131\/4180.\nAnswer: 29260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 1\/20*o**5 + 0 + 1\/3*o**3 - 4*o - 5\/12*o**4 + 5\/2*o**2. Determine f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 18*y - 282 = 0. Let t = -76 + y. List the prime factors of t.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, 5, -6, -1470, -5, -4 in decreasing order.\nAnswer: 5, 1, -4, -5, -6, -9, -1470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 7. Suppose -g + 2*o = -7, 4*o = -q*g - o + 5. Suppose t - g*b - 2*b + 16 = 0, -2*t - 3*b + 20 = 0. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/40*7\/(14\/128). Let d be (-2)\/4*202*-1. Let h = d + g. List the prime factors of h.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*45\/240*60?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 20. Let l be k(-24). Let q = 1 - -1. Let z be 0\/(-6 - -13) - (-2 - -2). Solve -q*d + d + l = z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1200) + -2*(sqrt(1200) + sqrt(1200) + 1*sqrt(1200) + sqrt(1200)))*5)\/(-4*(sqrt(432)*-6)\/sqrt(2)))**2.\nAnswer: 30625\/2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(10\/4) - -3. Suppose -2*y - a = -5*a - 40, 2*y - q*a = 42. Solve -h = 2*p + 12, -2*p = h + 2*h + y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 1550.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50752 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -27*q**2 + 91*q. Let k(h) = -2*h. Determine k(o(d)).\nAnswer: 54*d**2 - 182*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -581*u - 602*u - 669*u - 522*u.\nAnswer: -2374*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**4\/4 + 2*r**3 - r**2 + 3*r - 12. Let n be p(4). Solve -5*x - 26 - 2 = 3*s, -5*x - n = 2*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 5*h - 5*m, 5*m - 40 + 2 = 4*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6466*m - 25396. Calculate u(4).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 9, -1.6, -0.3, -7\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 34627868.\nAnswer: 34627868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34, 17, 106, 239, 422, 661, 962, 1331?\n\"Answer: g**3 + 13*g**2 + 5*g - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Let z(u) be the first derivative of -1\/60*u**5 + 8 + 1\/18*u**3 + 0*u**2 + 0*u**4 - 4*u. Let k(l) be the first derivative of z(l). Factor k(m).\nAnswer: -m*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3, -8, -0.4, 2\/833?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101011 (base 2) to base 9.\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104848479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3)\/3*42*(-8)\/12.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/3, -0.1, 1\/5, 0.046, -3, -14, -250?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from {i: 2, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -1. Let u = 9 - 9.1. Which is the nearest to u? (a) 3 (b) s (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27, -6, -49, -108, -189?\n\"Answer: -x**3 + x**2 - 29*x + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 183 and (((-16)\/3 - 3) + 9)*45.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*m**2 - 1196*m + 1464.\nAnswer: -4*(m + 61)*(5*m - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3273 = -8*h + 3073 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -1\/4, 2, -97, -2\/5, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 3351?\nAnswer: 3345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -343493 divided by 38?\nAnswer: -343493\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1572.97967 + 1573. Round w to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (58 + -67)*((12 + 1)*-1 - 2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 21 = -4*c + 11, -17 = k - 4*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 134850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.8077525 to three dps.\nAnswer: 14.808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*k = 59*k - 241*k + 1585 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*j + 1885 = 2*j, -610 = -c + 3*j. Is c a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -1, 2\/105, 160?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8317*0.5.\nAnswer: 4158.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1056*h**5 - 10*h**4 - 876*h**2 + 1949*h + 1 wrt h.\nAnswer: 63360*h**2 - 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134603, 268331, 402059, 535787, 669515, 803243?\nAnswer: 936971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 + 284. Let o = h - 121. What is the greatest common divisor of 152 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -503\/44354 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, x: 10, z: 5, a: 1}. What is prob of sequence xxpx?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 60*x - 275. Let k(a) = 9 + 3 - a**3 + 6*a + 6*a**2 + 2. Is 12 a factor of k(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**10\/(x**(-13)\/x*x)*(x*x**(2\/29)*x*x)**(-18) assuming x is positive.\nAnswer: x**(-935\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -139 * 316.\nAnswer: -43924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4729 - -5094. What is the highest common divisor of c and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*b + 16*b + 20*b + 15*b - 4087*b**2.\nAnswer: -4087*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -852082*a**2 - 4 + 4 + 852045*a**2.\nAnswer: -37*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -g - g. Let c = 111 + g. Suppose 13 = -2*k + 151. Calculate the greatest common divisor of c and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 3*f - 8. Let w be v(6). Suppose 0 = w*b - b - 54. Suppose b*u - 180 = 36. Is 36 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19361905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2 + sqrt(75) + 2)**2 + 0)*-5 + 4.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*q*w - 201*c**3 + c**2*q*w - 2*c**2*w + 3*c*q - 5*q wrt c?\nAnswer: -6*q*w - 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -180*d + 1954. Let j be n(13). Sort j, -3, 2, 0 in ascending order.\nAnswer: j, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89083880?\nAnswer: 2, 5, 227, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -310050*b**3*r - b*r + 784*r - 21 wrt b?\nAnswer: -930150*b**2*r - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trlrllltlrhhl. What is prob of sequence rr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5 + 90*v**4 - 418*v**3 + 734*v**2 - 564*v + 160.\nAnswer: -2*(v - 40)*(v - 2)*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1276 and -39\/282286.\nAnswer: 6210292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 0.3. Let x = -0.9 + 0.89. Let l = x + -0.39. What is the second biggest value in y, l, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - i + 15 = 0, 2*d - 14*i + 9*i + 9 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**2 + 3999420*f - 135975656 = 0.\nAnswer: 34, 999821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -30, 66, 290, 684, 1290, 2150?\nAnswer: 3306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 92 = -2*i, 0*u = -5*u - 5*i + 100. Suppose 20 - u = -k. Suppose -x - k*x = -9. Solve -r + l - 4 = -2*r, -x*l = r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 6:25 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4477 and -7110.\nAnswer: -7109.5523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 5*n + 3. What is the tens digit of d(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 2*m**2 - 10*m + 2. What is v(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122 - -126. Solve r*i = 0, 2*i - 2 = -2*h - 0*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2766309 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, a: 3, m: 2, b: 1, s: 4}. What is prob of sequence asb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9729635*r = -9729589*r - 3634 for r.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1312 divided by -328\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 284*j + 3310*j + 449250 for j.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14906, 29810, 44710, 59606?\n\"Answer: -2*a**2 + 14910*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -521 - 26.\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532862605?\nAnswer: 5, 306572521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + 16. Suppose -y + 2*y - 18 = 0. Calculate the highest common divisor of y and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/222048 and -77\/18429984.\nAnswer: 18429984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 934302097 to the power of 1\/2, to the nearest integer?\nAnswer: 30566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, e: 1, b: 1, c: 1, l: 1}. Give prob of sequence jejj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/4)*j\/(j*j*j\/(j\/((j*j**13)\/j))*j)*j)**(2\/63)*(j\/(j*j**3)*j*j**(-2\/3)*j)\/(j**(1\/2))**(-2\/31) assuming j is positive.\nAnswer: j**(-8027\/3906)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 46556213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**7\/210 + 5501*o**6\/120 + o**5\/20 - 3*o**4\/8 - 3*o**3 - 3*o**2 + 176*o. Find the third derivative of x(r) wrt r.\nAnswer: 24*r + 33006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -13*m - 3. Let s(y) = 23*y + 6. Give 3*s(x) + 5*w(x).\nAnswer: 4*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292536 divided by -18.\nAnswer: 16252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*v = 66*v - 10934. Let l = 996 + v. Calculate the remainder when 31 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 1. Let n(f) = f. What is 3*n(r) - 2*w(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.36 + -0.76. Let h = 6.2 - 2.6. Let j = i - h. Which is the nearest to 2\/7? (a) j (b) -1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 20, 5, 2 in increasing order.\nAnswer: -10, 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2. Let z(n) = 9*n - 2. Let f(a) = -a**2 + a - 1. Let k(h) = -2*f(h) + z(h). Calculate m(k(l)).\nAnswer: -4*l**4 - 28*l**3 - 49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 132, -41, 2\/15 in descending order.\nAnswer: 132, 7, 2\/15, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x + 8 = 0. Factor x*g**2 - 5 - 7 + 11*g + 8*g**2 + 15*g.\nAnswer: 2*(g + 3)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -387. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*m + 3*m. Let w(z) = -6*z + 3. Let j be w(m). What is the second derivative of -3*n**3 - 8*n - 20*n**2 + 20*n**2 + n**j wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5207, 4640, 3747, 2570, 1151, -468?\nAnswer: -2245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 15.7, 0.1, -2\/3, 35\/19, -5\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12733 is divided by ((-11 - -3) + -24)*(0 + -2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*p**3 + 0 + 16*p**3 + 1 to f*p + q*p**2 + k + u*p**3 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*x**2 + 3 - 2 + 1 - 1.\nAnswer: 169*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 7*x**2 - 11*x - 8. Let i be g(-7). Suppose -4*v + 48 = 5*y, 6*v - i = v - 4*y. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045 = -186*s + 131*s for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 34*m - 459. Is l(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2269.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 q when three letters picked without replacement from {q: 2, d: 1, u: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 245469 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114 - (144 + -283)) + -132?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**3 - 240*k**2 - 3428*k - 3192 = 0.\nAnswer: -38, -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 28. Suppose -x*o + 3*u = 1 - 13, o + 3*u = 0. Let y be 28\/(-4) + 1 + 26. Solve 19 = -4*t - o*c, t - 6*t + y = -5*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 + -58. Let m be ((-3)\/x)\/((-6)\/(-1512)). Let h be 1\/(-6) + 147\/m. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbgb when four letters picked without replacement from bxxxibgbxbig.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 52. Suppose 10*z + 4*z - f = 0. Calculate the remainder when 47 is divided by z + 3 + -4 + (-21)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z + 8 = 0. Suppose -d + 549 = 5*s, -3*s + z*d + 311 = -0*d. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -4*c + 3*z, -2*c - z + 4*z = -138. What is the greatest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 9 = l - z, 0 = 4*l + 5*z - 9. Let a(r) be the third derivative of -r**6\/120 - r**5\/60 + r**4\/4 + 2*r**3\/3 - 1708*r**2. Calculate a(l).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2131752 is divided by 851.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooyyoyyy. What is prob of sequence oyy?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3 + 6 + -2). Suppose 2*q - 13 = -5*k - 5, 0 = -r*q + 5*k + 28. What is the remainder when q is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20535600 divided by -5?\nAnswer: -4107120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:49 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2545245 + -4?\nAnswer: 2545241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 48 = 3*y - q, 2*y + 5*q = 68. Suppose 2*i - o = 5*i - 32, y = 2*i - 5*o. Let v = i - -4. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tku when three letters picked without replacement from fkuhutdh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 431, 643?\nAnswer: 855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1280, 5814, 13562, 24524?\nAnswer: 38700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 224\/16 + 11 - (0 + -2). Solve 23*n = 5*z + m*n + 46, -n = -4*z - 20 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37077057 or -37077069?\nAnswer: -37077069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 6. Suppose 0 = 2*z + 4*c + 84, -2*z + c = -h*z - 136. Let o = z - -81. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g - 22. Let a be w(-6). Suppose -3*l - 4*s + 15 = 0, 5*l + 5*s - 20 = -0*l. Solve a*c = 5*q + 4, -c - q + l + 1 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - y = 10, -2*d - 58*y + 18 = -63*y. Suppose 324 = 2*f + f. Let c = f + d. Is 31 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*d. Suppose 5*o = -5*i - 25, 4*o + d*i + 0*i = -14. Let s be 0 + -1 + o + 2. Let v(x) = -3*x - 1. Calculate v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -141b - -3?\nAnswer: -1418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 5:18 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-1))\/(-3) - -1. What is the tens digit of (-1 - 2)*(b - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/4, -4, 0.3, 2, -11, -1 in decreasing order.\nAnswer: 2, 7\/4, 0.3, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = 1. Let z = r - -11. Suppose z*y - 180 = -25. What is the remainder when y is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-9)*(-81)\/18*(-6)\/18\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1 (b) 3\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - -6207.4.\nAnswer: 6228.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1766*j**3 + 3521*j**3 - 1762*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 360\/44 + 2\/(-11). What is the common denominator of ((-27)\/(-8))\/(60\/k) and 1 + 70\/36 + 2?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wcxzt. What is prob of sequence wtcx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*c + 93 = -107*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 14) to base 11\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*o**2 + 19*o + 2947753 - 2947753)*(0*o - 2*o + o) to the form a*o**2 + p*o + j + r*o**3 and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*c + 23. Solve 0 = -c*g + 4*g - a + 20, -3*g - a = -15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.234 * 1354\nAnswer: 316.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -33, 1, -3, 8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2192\/5 + -437. Which is the biggest value? (a) p (b) -4 (c) 5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 1 + 3 - 5*q. Let f(v) = v - 3. Let t(l) = 2. Let a(u) = -5*f(u) - 6*t(u). Give 5*a(s) - 4*b(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 - -0.02. Let g = -1.16 + d. Let u = 0.11 - -3.89. Which is the second smallest value? (a) u (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 17*i**3 - i**2. Let r be n(1). Let a be (104\/r)\/(2\/4). Solve -4*m - 7 = a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - 102200011100?\nAnswer: -102200010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 3, -2, 2 in ascending order.\nAnswer: -2, 0, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rri when three letters picked without replacement from {i: 12, r: 7}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8713985 plus 40754?\nAnswer: -8673231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1961.7 - 1962. What is the second smallest value in x, 30, -1\/6, -11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68408 is divided by 183?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -354*z**3 - 5 - 10617*z**2 + 21219*z**2 - 10602*z**2 in the form y*z**3 + l*z + h*z**2 + x and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/5 - 187*p - 934\/5 = 0.\nAnswer: -934, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1730 - -16?\nAnswer: -1713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -305082 by 50847.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 88*n**3 + 6*n**2 - 6. Let j(f) = 265*f**3 + 17*f**2 - 17. What is -6*j(o) + 17*m(o)?\nAnswer: -94*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -4 (c) 17 (d) -0.9 (e) -2\/21 (f) -2 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/70 - 92\/10. Let b be ((-233)\/(-3))\/((-3)\/j). Let i = 418 - b. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 33 = -0*d. Let m = d + 9. Let o(l) = 10*l**2 + 3*l + 3. Is o(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (-1*sqrt(847) + sqrt(847) - sqrt(847))*-3 + -2*sqrt(847) + -4)*-2)**2*1.\nAnswer: -88*sqrt(7) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/1 + (-133)\/(-18) and ((-36)\/(-110))\/(9\/((-135)\/(-12))).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192 - -192.4. Sort -1\/8, -5\/3, p.\nAnswer: -5\/3, -1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a406 (base 11) in base 13?\nAnswer: -20373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 3:00 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6455, -6456, -6457, -6458, -6459?\nAnswer: -6460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.76579km in millimeters?\nAnswer: 86765790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 3*i + 5. Let l be x(-4). Calculate the greatest common factor of l and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y. Let l(c) = 88*c**2 - 5. Let o(k) be the second derivative of -697*k**4\/2 + 119*k**2 - 4*k - 7. Let n(x) = -238*l(x) - 5*o(x). Give n(b(q)).\nAnswer: -136*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -91. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 423965.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 1:29 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 126*v**2 + 5*v**3 + 68*v**2 - 29*v**2 - 1445 + 1275*v = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 0 (c) 23\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -20. Suppose x = 2*w - 0*w. Suppose -14 = -w*s - o, -o = -s - 4*o + 14. Solve -i - 4 = -s*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.89061 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 534128169 a multiple of 1255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 210*(56\/10 - (-32)\/(-8)). Let t(q) = 27*q + j - 336. Let a(n) = -2*n. Give t(a(z)).\nAnswer: -54*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1183463088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101152669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 0)\/((-2)\/(-10)). Let v = 14.6212 + 0.0788. Let x = 17.7 - v. Is w < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21600 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2.5, 0.11, -0.2, -3, -66351, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + 32. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 + m - 2. Let t be c(2). Let s = t - 10. Suppose -w + 6 + 0 = -4*v, -s*v = 3*w - 4. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5419, 6664, 7909, 9154, 10399, 11644?\n\"Answer: 1245*g + 4174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/8 + 3\/4*-1. Let h(u) = -2*u**3 - 5*u**2 + u + 12. Let y be h(t). Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3380 - -3399. What is the nearest to v in -1\/2, 4\/9, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, c: 3}. Give prob of sequence cc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-38))\/(44\/((-5280)\/(-180))).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -14. Suppose 5*j - 16 - m = 0. Suppose n = -3*q + 600015, 3*q = -j*n + 689897 + 2310118. What is n rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 91 = 5*v, 2*v - 2 = -3*y - 45. Let p = v - -58. Suppose 3*t = 3*w + 180, 3*w = 2*t - p - 78. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312212 (base 6) to base 8\nAnswer: 61060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -882 = -h - 883. Suppose -3 = -3*s - 3*g - 0*g, 5*g + 5 = 0. Sort s, -5, 4, h in increasing order.\nAnswer: -5, h, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d**(1\/6)\/d)\/d)\/d*d**(-2\/7)*d**(-4)*d\/d**(-3)*d)\/(d**(-2)\/d*d**(-1\/3)*d**(-1)*d\/(d\/(d*d**(-3)))) assuming d is positive.\nAnswer: d**(73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**3\/11 - 56*b**2\/11 + 248*b\/11 + 2016\/11 = 0.\nAnswer: -4, 14, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -328 - -370. What is the remainder when 60 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -156 - -167 - (7 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1. Let z(c) = 5*c - 2. Let h(g) = -g + 1. Let q(i) = -6*h(i) - 2*z(i). Let x = 31 - 32. Let n(d) = x*q(d) + 12*t(d). Differentiate n(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**2 - 19 + j + 9 + 11. Let u be y(1). Suppose 10*m - 7*m = u. Solve n + 4 = -5*a, m*a - n = 2 + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - sqrt(5))*-6*-4.\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5632, 22554, 50756, 90238, 141000?\n\"Answer: 5640*s**2 + 2*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -41. What is the highest common factor of 126 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 12*f + 23. Let x be o(7). Which is greater: x or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - s - 5. Let u be l(3). List the prime factors of 64 + u\/(-5)*0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m - 6*y - 50 = 54*m, -5*m - 4*y - 40 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22 + 0*4\/(-16). Let q = -14 + i. Suppose -6*a + q = -2*a. Solve -2*x = t - 9, -t + 3*t = a*x - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from vpdwpwut?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/45*-3 - 232\/(-280). Factor -12\/7*m + 3\/7 + p*m**4 - 12\/7*m**3 + 18\/7*m**2.\nAnswer: 3*(m - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 948 and 22?\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 4 - (5 - 2). Is 24 + (0 - -2) + y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u. Let g be (3\/(-1) - -2) + -6. Let q = -34 + 36. Let j(z) = -3*z. Let k(t) = g*l(t) + q*j(t). Let m(h) = -4*h**2. Give k(m(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8\/3))**17*(v*v**(19\/5)\/v)**(16\/9) assuming v is positive.\nAnswer: v**(-1736\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 30*n + 1840 = 0. What is the highest common factor of 138 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -267*u**3 + 4*u**2 + 87*u**3 + 8 + 92*u**3 + 83*u**3 to the form f*u**2 + g*u + q + h*u**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -24788?\nAnswer: -24784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 24 = 12*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/(-20))\/((-5)\/2 + 2). Put -43, 3, 0, i in increasing order.\nAnswer: -43, i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 6*v - 6. Let f be t(-4). Let a(k) = 6*k - 4*k - 2*k - 2*k**f. Let c(y) = y - y + 2*y. Calculate c(a(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 12) to base 4.\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + 1. Calculate the highest common divisor of 126 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12032 and 1692.\nAnswer: 108288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 - 8)\/(4\/(-52)). Sort -3, 1, o.\nAnswer: o, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 61.7\nAnswer: -0.617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvwv when four letters picked without replacement from {v: 4, y: 1, g: 2, o: 1, m: 2, w: 4}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -4\/15, 0.4, 431 in descending order.\nAnswer: 431, 0.4, -2\/13, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 15*a**2 + 13*a - 60. What is the hundreds digit of m(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 6 + 16 + 2627*h.\nAnswer: 2627*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (5 - (-1 - -4)) + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -20, 4*a + 8 = -w - 3*w. Suppose -7*t = -a*t - t. Suppose -5*u + 565 = 3*k - t*u, 3*k + 3*u = 555. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2389153 to the nearest 10000.\nAnswer: -2390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-11))\/((-2)\/((-8)\/3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 1\/36*u**4 + 1\/36*u**3 + 3 - 1\/12*u**2 - u. Let c(y) be the first derivative of d(y). Factor c(l).\nAnswer: (l + 1)*(2*l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five quarters of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*b - 311640*a**3 - 739450*b wrt a.\nAnswer: -6*a**2*b - 934920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) - 13\/3. Let m(s) = -3*s + 5. Let p(l) = 2*l - 4. Let g(q) = u*p(q) - 4*m(q). Let d(n) be the first derivative of -n**2\/2 + 2. Determine g(d(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**4 + 33*q**3 - 571*q**2 + 408*q = 0. What is q?\nAnswer: -17, 0, 3\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssp when four letters picked without replacement from {s: 13, p: 3}.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -7 + 27 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 24*c + 143. Calculate z(-23).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k - 4*k**3 + 2*k**3 + 3*k**3 - 2 + 3*k**2. Let i be j(-4). Is (-2)\/i*(-53 - 4) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.22052*-0.4\nAnswer: -3.688208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6*g = 0. Suppose g*h + 4*h - 88 = 0. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321920256?\nAnswer: 2, 5163751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24422, 48847, 73272, 97697?\nAnswer: 122122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8041 - 0.3.\nAnswer: -8041.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -190123\/1535530 + 53\/430. Let i = p - -114282\/17855. Calculate the common denominator of (0 - -2) + (-186)\/16 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 12 = 4*u, 0*m - 2*m + 2 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-11)\/33 + 16655\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24297, -49741, -75199, -100677, -126181?\n\"Answer: -w**3 - w**2 - 25434*w + 1139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 98.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3036*a - 932060. Determine k(307).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2216, 4435, 6654, 8873?\nAnswer: 11092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-800)\/(-150))\/(8\/6). Let p(c) be the second derivative of 0 - 2*c**2 - j*c + 1\/2*c**3. Give p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k**3 - 10*k**2 - 44*k - 10. Let a(j) = j**3 + j**2 - j + 1. Calculate 10*a(d) + p(d).\nAnswer: 2*d**3 - 54*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-1)\/4*(-6176)\/(-2). Suppose q = 4*g + 4*x, 8*x - 11*x = 2*g - 1540. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -817\/13 + 63. Let v = -1.25 - -0.11. Let c = -1.04 - v. What is the third biggest value in w, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 720?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29898808*t**4 + 18458165*t wrt t.\nAnswer: 358785696*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.55 - -3.3. Let l = u + 0.15. Which is the nearest to l? (a) -0.5 (b) -0.1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 15*h**3 - 313 + 308 + h**2 + 2*h**4 to p*h + u + o*h**2 + d*h**3 + g*h**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.0538, -1\/8 in increasing order.\nAnswer: -1\/8, -0.0538, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5 + 3) + 30\/3. Solve -4*n - 20 = 2*r, 4*r - 3*n - 2 = -a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/4 of a millennium?\nAnswer: 7750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*r - 10. Let t(a) = -901*a + 905*a + r - a**3 - 2*a**2 - a**2. Give t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 5*s**2 - 4*s + 1. Let f be z(-6). Suppose -1835*u + 514 - 705 = -5696. Sort u, f, 5 in descending order.\nAnswer: 5, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*p**2 + 3*p - 3*p + 73*p**2.\nAnswer: 173*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1194, -1202, -1210, -1212, -1202, -1174, -1122?\nAnswer: -1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -329*b**2*s**2 - 2*b + 45*s**2 wrt b.\nAnswer: -658*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**4 - v - 2*v**3 + 19 - 4*v**4 + 2*v**2 - 13 + 0*v**4 - 6*v**2 in the form u*v + x*v**4 + n*v**3 + g*v**2 + k and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/18 + ((-235)\/(-30) - 4). Suppose t + 3*a = 6, 3*t = 5*t + h*a - 10. Let z(p) = -p**2 + 3*p + 3. Let x(r) = -r**2 + 4*r + 4. What is t*x(c) - 4*z(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -258 divided by -3?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 + m - 2. Let r be n(-2). Suppose r*v - 11*v = 11400. Round v to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2610, 2612, 2616, 2622, 2630, 2640?\nAnswer: 2652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28499, -56998, -85497, -113996, -142495?\n\"Answer: -28499*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -22) + 0 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -13\/2, 1\/10, 0.03, 1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -1.7 (c) 1 (d) -12 (e) -21\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100227, 200432, 300637, 400842, 501047?\nAnswer: 601252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.797 and -56302.\nAnswer: 44872.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-6)\/12)\/(-1))\/3)\/((-170)\/60).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.2076 to 2 decimal places.\nAnswer: 21.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680994 and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 7, r: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1562 and 16738.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -1 + 1 - -3. Suppose -b*c = -7 - 3. Let r(j) = -j**2 + 7*j + 10. What is the least common multiple of r(7) and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3)**(-35)\/((c*c\/c**(-2\/17))\/c*c\/(c*c**(-12))) assuming c is positive.\nAnswer: c**(-2008\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-12) + (-2)\/(-6) - -742. Let z = 8167\/11 - i. Suppose 0*d = 2*d. Which is greater: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -28\/83, 57953, -2 in descending order.\nAnswer: 57953, 2\/9, -28\/83, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 12. Let r = 30 - q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 39 = -12*b + h - 88 + 16, 3*b + 5*h + 12 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -5\/7 (c) 27 (d) 497387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3921, 7864, 11809, 15756, 19705, 23656?\n\"Answer: p**2 + 3940*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -8, 6, -4.3, 5\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**3 - 166*q**2 - 55*q + 6. Give s(28).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 30172.59\nAnswer: -9051.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3289525 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 484830053 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -329209, -329211, -329213, -329215, -329217, -329219?\n\"Answer: -2*k - 329207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - y - 1. Let i(s) = -3*s**2 - 7*s - 5. Let h(b) = -i(b) + 2*u(b). What is the units digit of h(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2635066 (base 9) to base 11.\nAnswer: -8a4354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3730 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {a: 12, f: 5, k: 1, c: 1}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 113111, 226161, 339211, 452261?\n\"Answer: 113050*u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -98\/5 (c) 1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 970, 3876, 8718, 15496, 24210, 34860, 47446?\n\"Answer: 968*q**2 + 2*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 15, 1, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1154, -4861, -11032, -19661, -30742?\nAnswer: -44269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 2\/13, 2, -9, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**2 + 84461*z - 28132 with respect to z.\nAnswer: 4*z + 84461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 552 = 4*j + 5*z, -2*z + 540 = 4*j. Suppose j = 4*c + 745. Let q = c + 307. What is the greatest common factor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r**2. Let z(k) = -21003 + 13*k**2 + 21003. Determine o(z(a)).\nAnswer: -1352*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11446, 11910, 12374, 12838?\n\"Answer: 464*y + 10982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, s: 7, i: 4, b: 2, r: 1, j: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64474 is divided by 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23528 - -23546.989. Let w = 19 - n. Let h = -0.01 - w. What is h rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -23, -2 in decreasing order.\nAnswer: 15, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.985 rounded to 2 dps?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 25*l**2.\nAnswer: -l**2*(l + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*m - 101*m = -264. What is the greatest common factor of m and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -701*l**2*r*t**3 + l**2*r*t + 56*l**2*r - 5*l**2 + 13*l*t - 141*t**5 wrt t?\nAnswer: -4206*l**2*r*t - 2820*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -11. Let y(g) = -g**3 + 5*g**2 - g - 1. Let a be y(5). Let u = j - a. Solve x - b - 2*b = u, -5*x - 4*b = 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.112 - -22. Let l = j - -0.012. Let i(o) = 2*o - 22. Let a be i(12). Sort a, l, -1\/8, 3.\nAnswer: -1\/8, l, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 47 + 17 = 0. Suppose -r*p = 2*v - 11*p + 263, 0 = -v + p - 130. Calculate the common denominator of (v - -6)*3\/(-18) and -89\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009785 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 496 + 36. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/5)*c**6\/c*c)\/(c**(-5)\/c**(-1)))**12 assuming c is positive.\nAnswer: c**(564\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67272 + -3?\nAnswer: -67275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 76 + 4 - (-1205 + 1240)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**(-6))\/t*t)\/(t**(2\/13)\/t))\/(t**(1\/3))**28 assuming t is positive.\nAnswer: t**(-487\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3352 - 3324 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45499, 94381, 146643, 202285, 261307, 323709, 389491?\n\"Answer: 1690*g**2 + 43812*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1045236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + i**2 - 2*i**2)*(131*i**2 + 937 - 937 + (-5 + 4 - 3)*(-4*i**2 + 2*i**2 + i**2)).\nAnswer: 135*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3455831 is divided by 191990?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r - 6*r + 335 + 59 + 3*r in the form t*r + p and give p.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*f + 92 = 15, -3*n = -3*f - 51. Solve n*i = 14*i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 942480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 - (0 + (5 - 5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/14 and -119\/708?\nAnswer: 4956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*5\/30*(-45)\/(-3))\/(-2).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwlwwfwwewwlllwwwle. What is prob of sequence ew?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819 is divided by 557.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.96 + 0.04. Let v(s) = 4*s + 43. Let l be v(-11). Which is the nearest to 0? (a) l (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 - -119. Calculate the remainder when (876\/4380)\/(2\/590) is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6 - (164\/(-12) + 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1010 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1)\/3*-1. Let z(p) be the first derivative of p**3\/3 - 7*p**2\/2 - 63*p + 48. Let b be z(-5). Put b, -2, c in decreasing order.\nAnswer: c, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 + 5*n + 5. Let u be q(-3). Let v = 12760.2 - 12760. Which is the third biggest value? (a) v (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179 - 163. Differentiate 77*a**2 + i + a**3 - 94*a**2 + 18 with respect to a.\nAnswer: 3*a**2 - 34*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, u: 2, o: 2, a: 5}. What is prob of sequence oum?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:23 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - i = -1, -8*w = -3*w + i - 10. Is 235\/(-2)*(w - 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3. Suppose n = -4*c - 15. Let r be (-1)\/((-10)\/c - 3). Sort r, -3, 1 in descending order.\nAnswer: r, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/3))**(14\/11)*(u*u**(1\/7))\/(u*u**(-1)) assuming u is positive.\nAnswer: u**(362\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43590468 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 10*l**2 + 12*l - 7. Let o be u(11). Suppose 2*r = 2*j - 3*j + 520, 1036 = 4*r + o*j. What is the highest common divisor of r and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s - 1. Let o(a) be the second derivative of 0 - 104*a - 1\/2*a**2 + 1\/12*a**4 - 1\/6*a**3. Calculate -o(u) - t(u).\nAnswer: -2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 9*r + 4 + 42 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57 or -950\/17?\nAnswer: -950\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*v + 75, 0*v - 2*v = -3*r - 37. Suppose -5*n + 17 = -2*j, 5*j - 10 = -0*j - 5*n. What is the remainder when v is divided by j\/(2\/4) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 > 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82789041473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(300) - sqrt(300)*3)**2.\nAnswer: -4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3932ab (base 12) in base 13?\nAnswer: 26b376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1. Let n(u) = -18751*u - 6. Let q(b) = -n(b) - 2*o(b). Let p be q(-4). Let g be -24*(-1)\/((-3)\/p). Round g to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from yooooyyyppyp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccdcdcccdd. What is prob of sequence cc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688011?\nAnswer: 3, 79, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 239554017 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/6)\/(-2)*10\/(40\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 355 = -257. Solve -r*k + 8 = -13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 23978*i**2 - i - 23973*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116382 and 5868?\nAnswer: 698292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 28 = 5*g - 7, -3*v + 5*g = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 minus -11.77?\nAnswer: -302.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 113 = -117. Do 115 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -45. Let q = -3 - c. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 75. Let q(r) = 1271*r**3 + 2*r**2 - 6*r + 3. What are the prime factors of q(o)?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, c: 5, x: 6}. What is prob of picking 1 c, 1 l, and 1 x?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bb - -1d146?\nAnswer: 1d212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 8*b - 7. Calculate the least common multiple of d(9) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 320310330003?\nAnswer: -320310330001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -12 - -15 - (5 - (-4 - -1))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -0.223\nAnswer: 2.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 30 - 7 - (2 + 1 - 7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.019203 millennia?\nAnswer: 5019.203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104431 is divided by 778.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 - -141. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 54880?\nAnswer: -54879.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - -1*sqrt(288)) + sqrt(288) + sqrt(288))**2 - (sqrt(72) + 3 + sqrt(2) + sqrt(2)))*3.\nAnswer: -24*sqrt(2) + 13815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -110)\/10 - 561\/77 - 2\/(-7)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(98) - sqrt(98))**2*6 + 5 + ((sqrt(98) + 1)*4 + -3)**2.\nAnswer: 56*sqrt(2) + 3926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5478 and 5478.\nAnswer: 5478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*x**3 + 667515*x**2 + 10790652*x wrt x.\nAnswer: -102*x + 1335030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-189*(-88)\/135432)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in 1\/5, -0.3, -2, 22.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**5\/60 + 3*u**4\/8 + 26*u**3\/3 - u**2 - 11*u + 5. Let h(o) be the second derivative of z(o). Determine h(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/20 and -29\/272.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 15015*w.\nAnswer: -5*w*(w - 3003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 + 4*i**3 + i**3)*(9 - 9 - 5*i)*(-6*i + 3*i + 0*i) + i**5 - 2*i**3 + 2*i**3.\nAnswer: 16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 643*o**2 + 86*o - 256. Is k(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 9*k - 15. Suppose -19*u + 46*u - 243 = 0. Determine z(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1510220 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 2*p**2 + 6*p - 4. Let w be z(3). Suppose 3*u + w*l - 174 = 0, 0 = 4*u - 5*l + 3*l - 258. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193 - 193 - 65*k.\nAnswer: -65*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/7)\/((-63860)\/1736). Which is greater: c or -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w - 874*w + 35*w + 179361 = 1642*w for w.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 17*a**2 - a + 22. Let b be c(17). Suppose -2*w = b*v - 0*w - 222, 0 = -v - 2*w + 46. Is 47 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4591202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351574, 351526, 351448, 351340, 351202?\nAnswer: 351034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6171.925 days?\nAnswer: 533254320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1904369.\nAnswer: 149, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -15*a**2 - 15*a. Calculate m(-4).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-19)*(m\/(m*(m*((m*m**(-4)*m*m)\/m)\/m*m)\/m*m*m*m))\/(m*m**0*m)*(m**(-12)*m**7)**(2\/9) assuming m is positive.\nAnswer: m**(134\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25246 smaller than 25245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 7. Let x(q) = -q + 1. Let m(c) = j(c) - 6*x(c). What are the prime factors of m(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130 + -2120123?\nAnswer: -2120253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/855)\/(3*1\/9)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 1427681997?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -11364625?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**5 + 112406*y**3 - 483*y**2 + 24*y wrt y?\nAnswer: 60*y**2 + 674436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (225*i + 281*i - 220*i)*(0 - 4 + 16)*(-2*i + 0 + 0) to the form m*i**2 + c*i + b and give m.\nAnswer: -6864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4042 and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 - z**2 - 13942 + 13942 + (-z + 0*z - z)*(2*z**2 + 0*z + 0*z).\nAnswer: -5*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0157 (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4.3*326.9\nAnswer: -1405.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2982922 is divided by 32423.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -42, -1.278, -17\/8, 0.2, -3?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 10 - 78. Let r(j) = 11*j - 15. Let a be r(3). Let s = m + a. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 8*o**2 + 11*o + 20. Let c be d(-9). Find the third derivative of 8*u**6 + 20*u**2 - 3*u**2 - 6*u**c wrt u.\nAnswer: 960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20197\/45 - -2243\/5. Which is the nearest to m? (a) -5 (b) 7 (c) 3\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (0 + 0)) + 0. Let u(y) = 100*y**2 - 229*y**2 + 125*y**2. Let w(k) = 8*k**2. Calculate m*w(s) + 5*u(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6777, 23064, 50199, 88188, 137037, 196752?\nAnswer: 267339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -44, -0.4, -7, -51, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 14*z**2 - z + 2. Let x(b) = b**3 - 1. Give n(u) + 2*x(u).\nAnswer: 3*u**3 - 14*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -163 + 64 + 2*g - 119 - 290 + 84. Let x(s) = -s**2. Calculate x(z(h)).\nAnswer: -4*h**2 + 1696*h - 179776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3412657 rounded to the nearest 1000?\nAnswer: -3413000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 662*j - 2519. Let x be t(9). Which is smaller: 3440 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 77.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 127, 1 in descending order.\nAnswer: 127, 1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/15))\/s*s)\/s)\/s*s**(1\/3)*(s**(-1)*s*s)**(36\/7) assuming s is positive.\nAnswer: s**(159\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3271, -3268, -3265, -3262?\nAnswer: -3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 * 5488.\nAnswer: 170128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 2*k + 17. Determine q(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:35 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -36. Let s be (-14)\/105 + a\/60. Suppose 2*o + 2*o - 584 = s. What is o rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*(-1 + -5). Let t = 4 - z. Sort 5, t, 3\/8 in descending order.\nAnswer: 5, t, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 16, 20, 16, -2, -40, -104, -200?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60 - 432506?\nAnswer: -432566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7808.94849 - -7809. What is i rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**4*y - 6*m**4 - 1249279*m**3 + 536*m**2*y + 2*m*y + 3*m + 2249*y - 1 wrt m?\nAnswer: -120*m*y - 144*m - 7495674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + y)*(-3*y + 0 + 0) + (-y**2 + 1 - 1)*(561 + 299 - 494).\nAnswer: -369*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19131*j**3 - 101*j**2 - 2294465*j wrt j.\nAnswer: 114786*j - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 - 40. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*p**2 - 27*p**2 - p - 25*p**2 + 3 + 4.\nAnswer: p**2 - p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24223925 divided by 4844785?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.5051.\nAnswer: 2.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468709 is divided by 9350?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (-2 + sqrt(468) + -2*sqrt(468))*2*3 + 0)*-4)**2.\nAnswer: 14976*sqrt(13) + 272272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 345*n**5 - n**3 + 150*n**2 + 950131*n wrt n.\nAnswer: 6900*n**3 - 6*n + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 25*w**5 + 31*w + 148. Find the first derivative of f(t) wrt t.\nAnswer: 500*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfee when four letters picked without replacement from isisexyfexxsi.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -180*j**3 + 66662*j**2 - 22936*j - 1480 = 0.\nAnswer: -1\/18, 2\/5, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -10, -4, 1, 13.\nAnswer: -121, -10, -4, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 22. Let w be (48\/(-20))\/(6\/(-80)). Let v = w + q. Which is bigger: 8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -269 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/3))**(-37\/5))**(-4))**(18\/5) assuming f is positive.\nAnswer: f**(1776\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 105?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4542212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m - 3*q - 8950, 4*m - 7128 = -4*q. Suppose 16*f = 11*f + 3*i + m, -5*f - 3*i + 1793 = 0. Is 34 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -79. Suppose 0 = -i - 9 + q. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3497*w**2 - 3 + 8424*w**2 - 38232*w**2.\nAnswer: -33305*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**7\/210 - g**6\/20 + 38*g**3\/3 + 3*g**2\/2 + g - 40. Let a(f) be the second derivative of n(f). Differentiate a(w) wrt w.\nAnswer: 4*w**3 - 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by 36?\nAnswer: 115\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/16*-4*-1*(-4)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 480.017 in 0, -3, -1.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (2*sqrt(117) - sqrt(117)) - sqrt(117)) + sqrt(117))*6 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*f**2 - 3*f + 0 + 2 + 85*f**2 as k*f + t*f**2 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-4)*(128\/28 - 4). Solve j + 5 = x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*x**3\/11 + 22510*x**2\/11 - 1982128*x\/11 + 49271264\/11.\nAnswer: -2*(x - 343)*(5*x - 268)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 5*w**8\/1008 + w**7\/6 + 5*w**6\/3 + 25*w**5\/9 - 28*w**2. Factor d(l).\nAnswer: 5*l**2*(l + 1)*(l + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 + d**4 + 458705*d**3 - 443*d**2 - 9*d + 11 wrt d?\nAnswer: 120*d**3 + 24*d + 2752230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.461, -3\/10, 79.\nAnswer: -2.461, -3\/10, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1204 and 774?\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by (0 - (-2)\/(-10)) + (-243)\/(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/18 and (3\/(-20))\/(27\/(-1638)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19289, -19302, -19321, -19352, -19401, -19474?\nAnswer: -19577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 188. Suppose -r = -8*j + 3*j. Is 1\/(((-9)\/j)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133908354 is divided by 4003.\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 139*n + 4285. What is x(-31)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 - 3.2. Which is smaller: q or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*p - 2509, -p + 640 = a + 134. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57085232.2 from -2.\nAnswer: -57085234.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 241 + 187. What is the common denominator of o\/176*-2 + 0 and -91\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**7\/840 - c**6\/120 + c**5\/60 + 2*c**2 + 9*c. Let y(x) = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 + -240 + (0 + -2 - 3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence keqq when four letters picked without replacement from pepeqqkpepqpekodqppq.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7270305 millilitres?\nAnswer: 0.0007270305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**7\/105 + k**6\/75 - 3*k**5\/50 - k**4\/6 - 2*k**3\/15 + 73*k - 155. Let b(y) be the first derivative of u(y). Factor b(c).\nAnswer: 2*c*(c - 2)*(c + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (299\/(-4186))\/((-24)\/(-630))\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -199\/42599 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**2 + q**2 + 23 + 3*q**2 + 8*q + 0*q**2. Let r be i(10). Suppose 0 = -r*s - 3931395 - 4108605. Round s to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/48 - n**3\/2 + 11*n**2\/8 + 32*n - 1. Factor m(a).\nAnswer: (a - 11)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -9*b**2 + 519*b - 3572. Determine a(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31.7*0.5\nAnswer: 15.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 753.0557l in millilitres?\nAnswer: 753055.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -159887 divided by 251\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 2*g - 2. Let a be v(-2). Suppose 0*i = -4*i. Suppose a*q = -3*w + 60, w + i*q = 4*q + 20. Solve s - w = 4*n, -2*s + 1 + 11 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -36*f + 29*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d**3 + 2*d**2 + 5*d + 4. Let p be t(-2). Does 4 divide (0 + 60)\/2*(-196)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-10)*4\/8*((-36)\/27)\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by -2 - 1*(-102)\/3?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = -4*p. Let v = -2.6 - 0.4. Is v at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 588, 1186, 1782, 2376, 2968, 3558, 4146?\n\"Answer: -h**2 + 601*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4329 and 18278?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25734 divided by 6.\nAnswer: 4289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4332.072 weeks to minutes.\nAnswer: 43667285.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-5)\/9*47*582\/113975)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 17476*l + 1703036. Determine g(-98).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -1933439.5357\nAnswer: 1933443.5357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/2? (a) 5\/2 (b) -6\/11 (c) -1\/73 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 - -154. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 - 1. Let t be s(-1). What is the first derivative of n + 4*n - 3*n**2 - 5*n + t wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038382421 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*y - 2*s, 0 = -5*y - s + 18 + 52. Solve 0 = j, -4*j + y = 5*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*x**4 + 74469*x**3 + 46890066*x.\nAnswer: -1224*x**2 + 446814*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 25, -3*g - 3*m + 9 = -5*g. Suppose -g = 5*f - 68. What is the remainder when 0 - (-291)\/6 - 4\/(-8) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o + 1\/2*o**2 - 1\/3*o**3 + 85 - 1\/4*o**4. Factor j(n).\nAnswer: -(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 5\/4 (c) 52 (d) -1\/6 (e) 1.8 (f) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/3)\/q*q\/q**(2\/11))\/(q**(1\/3)*q)**(3\/28))**44 assuming q is positive.\nAnswer: q**(-1532\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -960590 rounded to the nearest one thousand?\nAnswer: -961000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -294 or -297?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 638 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 d when three letters picked without replacement from dcaad.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q - 1. Suppose 2*m + 2*m - 2 = d, -5 = 3*m - 4*d. Let y = q + m. Solve 4*r = -y*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, -3, -5, -28 in descending order.\nAnswer: -3, -5, -28, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-89876237.\nAnswer: 8987623.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixziiiiixxixx. What is prob of picking 4 x?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 794691061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13233 + 2911309\/220. Let k = -1\/44 + j. Factor 3\/5*h**5 - k*h + 8\/5*h**4 + 0*h**2 + 0 + 6\/5*h**3.\nAnswer: h*(h + 1)**3*(3*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - c**2 + 6*c + 7. Determine w(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:27 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 4:25 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 784.9454 millilitres in litres?\nAnswer: 0.7849454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -70cd0 (base 14) to base 16\nAnswer: -42456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -77, 1, -1, 627, 5 in descending order.\nAnswer: 627, 5, 3, 1, -1, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1\/4, 2, -0.4, -57666?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -432818 < -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 119084279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + z - 2. Let y be 5*4*z\/4. List the prime factors of (29 + 0)\/(-9 - y).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 19*g + 8. Let i(q) = 57*q + 23. Let r(b) = 2*i(b) - 7*t(b). Is r(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*g**3*j - 386*g**3 - 3*g**2*j + 36*g**2 + 240*g + j + 2 wrt g?\nAnswer: -1020*j - 2316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249447541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -150, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -1.9. Let j = 15 - 30. Let t = 14.94 + j. Which is the nearest to 1? (a) g (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99710 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 (base 9) in base 6?\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 4*a**2 + 7*a + 221. Let x be r(0). Is 221 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = t + 2*t. Let g be (9 - 1)\/((-73)\/(-105) - (-16)\/(-24)). Suppose g = 4*m - t*m. What is m rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2755 to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 5*k + 2. Give p(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or 1\/54?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 25715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-17)\/(-34))\/(2 + (-23)\/12). Let u be -2*(d + (-13)\/2). Let w(o) = -o. Let v(x) = 5*x**2 + 5*x - 1. Calculate u*v(a) + 5*w(a).\nAnswer: 5*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -140166, 36.\nAnswer: -140166, -3, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + (-7)\/3)\/(1\/(-15)). Solve 10*a - 15 = n*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 1:51 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126658 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2349*r - 44673. Calculate k(-19).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:30 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2. Let y(n) = -45237*n**2. What is f(y(c))?\nAnswer: 2046386169*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 0*d - d)*(-d**3 + 3*d**3 - 3*d**3) + 2*d + 4600*d**4 - 2*d**2 + 4277*d**4 - 9409*d**4 to b + l*d**4 + t*d**2 + a*d + u*d**3 and give l.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09938 rounded to three decimal places?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (56\/12)\/(8\/12). Find the third derivative of 2*u**4 - u**2 + z*u**4 - 5*u**2 - 2*u**2 wrt u.\nAnswer: 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 224, 285, 452, 779, 1320?\n\"Answer: 9*m**3 - m**2 + m + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216214?\nAnswer: 2, 17, 35771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -444.829 * -0.4.\nAnswer: 177.9316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.021 - -2.061. Let s = 0.04 - 0. Let l = r - s. What is the nearest to l in 5, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20805 times 0.03\nAnswer: -624.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4213\/3 + 568663\/405. Calculate the common denominator of -36\/325 and r.\nAnswer: 26325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15775 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -16*f - 4. Let y = 3708 - 3707. What is x(y)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/((17\/340*-15)\/(6\/8))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 6:27 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 371 + -37a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -118964432\/9 > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38874 and 45694?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/5 - 6\/15. Suppose 0 = 4*p - 7*p. Suppose 3*x - 3 = 4*s + 9, 3*x - 12 = 3*s. Sort f, p, x in decreasing order.\nAnswer: x, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2041*z**5 - 4512*z**2 wrt z.\nAnswer: 122460*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -134, 18, 242, 538?\n\"Answer: 36*w**2 + 44*w - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**5\/4 - 1299*d**4\/4 - 33252*d**3 + 287184*d**2 = 0.\nAnswer: -248, -193, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - d = 1521, 1038 = 3*o + 3*d - 84. Let j = 448 - o. Calculate the greatest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*p = -14*p + 6 - 127 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20201 + 12?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 88 - 16 = 0. What is the tens digit of x*2\/4*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3974, -6000, -8026, -10052, -12078, -14104?\n\"Answer: -2026*a - 1948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1003*h + 3*h**2 - 1003*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v - 1. Let f be 255\/4 + -1 + (-15)\/(-12). Suppose f*p = 63*p + 54. Calculate the remainder when p is divided by x(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 62, 2\/9, -4, -9, 0.1, -5\/2, -3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 40 = -4*z, 0 = z - 2*w - 2*w - 4. Let n(k) = -2*k**2 + 26*k - 20. Let u be n(z). Solve -21 = 3*p - 3*f, -4*f + 8 = 2*p + u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53772.1697 to the nearest integer.\nAnswer: -53772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 309 divided by -3\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-40) - 23\/(-5). Let s be ((-2)\/h)\/(((-39)\/(-30))\/(-13)). Solve -s*i + 24 - 4 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10516077544 - 7.7.\nAnswer: -10516077551.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*x - 156 = 0, -l = l - x - 305. Let n be 7 + l\/(-21) - 37\/(-7). Suppose -2 = -4*b + 14. Solve 2*h - n*w - 23 = 0, b*w = 3*h - 8 - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3514*y - 3337 wrt y.\nAnswer: -3514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 + 4 = 0. Let c be 0\/2*(h - 3). Let m(f) = -f**3 + c*f**2 + f**2 + 0*f - f - 8. Calculate m(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -436*-0.21\nAnswer: 91.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g - 23. Let m be k(-6). What is the closest to -0.6 in 3\/7, 5, m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 - 3*p - 4. Let v(k) = -2764*k**2 + 402*k - 9. Let x(s) = f(s) + v(s). What is the second derivative of x(b) wrt b?\nAnswer: -5538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5 = -2*n. Determine z, given that -4\/3*z - 4\/3*z**2 + 2\/3*z**4 - 4\/3*z**n + 8\/3*z**3 + 2\/3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000070871211 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450869, 901744, 1352619, 1803494?\nAnswer: 2254369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/3705*57)\/(18\/(-5)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzxziiffizxz. What is prob of sequence xzz?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 327853829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3973469\/3 not equal to -1324491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 256*i**5\/3 + 5868032*i**4\/3 - 11739020*i**3\/3 - 44289625*i**2\/3 - 10476296*i\/3 - 641872\/3 = 0.\nAnswer: -22924, -7\/4, -1\/8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 32 = 4*r, -33*r + 32*r - 40 = -5*l. Let h = 12 + -7. Let n = l - h. What is the lowest common multiple of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, 43, 97, 183, 307?\n\"Answer: h**3 + 7*h**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9149\/2 > 4574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 44.56466 meters?\nAnswer: 44564660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-16)*(-372)\/(-465).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 13. What is the remainder when x(11) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(832) + 4)**2.\nAnswer: -256*sqrt(13) + 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 16*j**2 + 385*j - 2835. Determine x(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 3*b + 2. Let f be x(-3). Suppose -h - f*h + 27 = 0. Suppose 5*l - h = 11. Solve w = l*w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 2*x**2 + 4*x - 1. Calculate n(6).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*a - v, -11*a + 2*v = -8*a - 15. Let f = 33 - 8. Let o = -3987 + 3989. Solve a*u - f = o*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**3 - 5*k**2 + 5*k**2 - 812*k + 812*k + 8*k**3 + (2*k**2 + k**2 + k**2)*(-6*k + 0*k - k) in the form r*k + q*k**2 + l + i*k**3 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 90 - 78 = 4*d, 0*d + d = 121*h + 485 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9 = -2*w, -4*w + 18 = -3*b - 5. Let n be ((-1)\/(-2))\/(2\/4). Let s(m) = m - 2. Let p be s(2). What is the nearest to p in w, -1\/12, n?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v + 117 - 31 = 4*t, 4*v + 3*t = 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22077 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5955227 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*f, 4*v = 7*v - f - 7. Let s be v\/(-3) - 252\/(-27). Sort s, 1, 0 in decreasing order.\nAnswer: s, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Let d = 223\/4 - 56. Is o at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-2 + 2 - 3)*(2 + 3*c - 2).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/15)\/((-1840)\/1725)*1*-11*4?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/141843?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 4*d**2 - d + 4. Let b = -3 + 8. Let y be t(b). Let k = y - -55. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -465*b**2*c + 2*b**2 + 2707 wrt c.\nAnswer: -465*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 13*z**2 - z + 11. Let a be w(13). Let g = -8479 - -42536\/5. Let p = -30 + g. Is a equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73\/2398 - 257617\/2712138. What is the common denominator of 71\/9 and h?\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4*v - 14 = 0, 0 = -4*j + 44*v - 52*v + 36 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 30766*t + 338363. Give v(-11).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 11) + (-7 - (-37 + 33))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-2\/11)*s*s**(-1\/16)*s*(s**3*s)**(-11\/3) assuming s is positive.\nAnswer: s**(-6097\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 199, -2\/11, -6\/5, 0.2, 1841?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 27\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b + 47*b = 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 479254\/25 equal to 19170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o - 2455 = 3*x, 2*o - 5*x - 2457 = 0. Suppose 0 = -3*a + o + 1651. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5304*j = -5308*j + 19, -2*j + 22 = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/8)*x)\/(x**4*x))\/(x**0)**(-2\/11) assuming x is positive.\nAnswer: x**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 89.\nAnswer: 47\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86869?\nAnswer: 86869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -42. Let z = 35 + a. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:55 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8560293, 8560291, 8560287, 8560281, 8560273, 8560263?\n\"Answer: -z**2 + z + 8560293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**5 - 888537*o**4 - 2590080*o**2.\nAnswer: 120*o**2 - 21324888*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27232)\/(-185))\/16*(-20)\/(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687460.8 milligrams in micrograms?\nAnswer: 687460800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*u + 7*u + 45. Find the third derivative of o + 31*o**3 + 26*o**u + 113 - 113 + 11*o**2 wrt o.\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 997 = 601. Calculate the least common multiple of n and 680.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84980016 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) - 50\/(-15). Suppose 529*g = 535*g - 12. Suppose -d*q - 4 = t, 45 - 5 = 4*t + g*q. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 - 23*w**2 - 17*w - 171. Let n be t(-8). Which is greater: n or 0.301?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-90)\/75 + (-1)\/(-5) - 337. What is q rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5465703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337 is divided by 63?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/8*1*12\/(-3). Suppose 0 = -t + 5, 4*t - 7*t = -r*w + 327. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 45*d + 55. Let z be g(13). Suppose 3*r - 43*k = -39*k + 380, -z = -5*r + 5*k. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2 + 7*b - 5. Let g(f) = -f**2 - 1. Calculate d(a) - 5*g(a).\nAnswer: -2*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3674200 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 60 - 225469610.49\nAnswer: -225469550.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1\/7 (b) -2\/9 (c) -0.57 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895584547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, q: 1, y: 5, c: 3}. What is prob of picking 1 y and 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**5 + 2*c**2 + 2*c**5 - c**2 wrt c?\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 5:32 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -79 (c) -4 (d) -0.2 (e) 3\/2 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2 + 409*o - 348 - o**2 - o**2 - 466 = 0.\nAnswer: 2, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1690 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/45? (a) 0.1 (b) 1 (c) -20 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -11*u. Let c(l) = 44295*l + 6. Give v(c(s)).\nAnswer: -487245*s - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1178*o + 171. Let l be h(4). Calculate the greatest common factor of l and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f - 279. Let r be i(-27). What is the least common multiple of 430\/r + 14\/126 and 208?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*w - 0 + 1, -4*w + 20 = -x. Suppose 16 = 3*i - 5*z, -2*i + 15 - 1 = -4*z. Let s(d) = 4*d + 5. Let k(v) = -11*v - 14. Determine i*k(f) + x*s(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 37 = 3*k. Sort -1, -3.1, -0.4, k in descending order.\nAnswer: k, -0.4, -1, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179197, 179098, 178999, 178900?\nAnswer: 178801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*a + 10 = 0, -2*o = -0*o - a - 5. Suppose o = -2*p - b - 6, 2*p - 4*b + 2 = -4. Let h = 5 - p. 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 306c1 (base 15) in base 12?\nAnswer: 7493a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 + -263. Let t = i + 379. Solve -4*m - 27 = t*p - 1, 4*m = -20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124750*j**3 + 125457*j**3 - 250219*j**3 + j - j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {u: 1, o: 5, n: 5, i: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176 - -179. What is the closest to 0 in -0.1, -0.4, 56, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.14*-1667\nAnswer: -1900.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*o**3\/9 + 1604*o**2\/9 - 58327*o\/9 - 10658\/9.\nAnswer: -(o - 73)**2*(11*o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4 = h - 9*o, 4*h + 3*o - 7 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57744 and 30.\nAnswer: 288720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**3 - n - 1. Let c be 4 + 2*(3 + (-28)\/8). Let x(y) = -11*y**3 + 11 + y - 9 + 17*y**c. Calculate -4*f(d) - 3*x(d).\nAnswer: 2*d**3 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*90\/(-9). Suppose 30 = 4*q - 2*l, j*q - l - 37 = -7. Find the third derivative of m**2 + 4*m**q + 14 - 14 wrt m.\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2255932 is divided by 151?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -27*m**2 + 3*m. Let k(x) = -336*x - 2007. Let c be k(-6). Let z(l) = -54*l**2 + 7*l. Calculate c*r(b) - 4*z(b).\nAnswer: -27*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104065317 - -4?\nAnswer: -104065313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35*(3840\/56)\/10. Suppose -251*y + p*y = -11. What is the second smallest value in 15, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 5, l: 3}. What is prob of sequence pe?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81250, -81152, -81054, -80956, -80858, -80760?\nAnswer: -80662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 8) to base 11\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 10:37 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2155 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 43802.\nAnswer: 5\/43802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 4620.7.\nAnswer: -50827.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5604 - -11815. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163454491*l**2 + 84068*l + 179 wrt l?\nAnswer: 326908982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 8 = 20. Let b = t - -2. Solve 2*s + w = b*s + 5, s - 3*w + 15 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 21 = 11*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5 + 11 = 3*p, 3 = 4*p - i. Solve 5*q + 0*q + 5*z + 5 = 0, -5*z = 4*q + p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5312432329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 662119931 to the power of 1\/2, to the nearest integer?\nAnswer: 25732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 458.2, 4, -2, -2\/163, -0.24?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8*u = -4*u + 11, -u = -5*p + 17. Suppose -p*g - 1776 = -2*f + 2*g, 0 = 5*f + 4*g - 4374. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 7*l + 4. Let k be x(-3). Calculate the remainder when 17 is divided by 4 - k*(4 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, k: 4, c: 1, h: 1, y: 3}. Give prob of picking 1 o and 1 y.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 72, 120, 168, 216?\n\"Answer: 48*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2978\/11 (b) 5 (c) 2\/9 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-142824)\/19476*((-10)\/(-12) - 2\/(-9)*3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h**5 + 222*h**4 - 1504*h**3 + 3256*h**2 - 2880*h + 896 = 0. Calculate h.\nAnswer: -28, 4\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 21656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/2*-1*209\/11. What is the greatest common divisor of h and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/19 - 23\/95. What is the nearest to -2\/5 in m, -3\/4, 3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 65, -0.5, -1, 4, 0.5, -264 in descending order.\nAnswer: 65, 4, 0.5, -0.5, -1, -2, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 1:33 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 21*p - 24*p - 222, -4*s = 4*p - 856. What is the highest common divisor of s and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21297 by -1.\nAnswer: -21297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-1\/3)*l\/(l*l**(-1\/11))*l\/(l**(3\/4)*l)*l*l*l*l*l*l**0\/l)\/(l**3*l**(-1\/11)*(l*l**(1\/7))\/(l**3\/l)) assuming l is positive.\nAnswer: l**(3347\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from eprrrpr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -154 - -1477a5?\nAnswer: 147651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**5\/2 + 57*m**4\/2 - 135*m**3 + 246*m**2 - 156*m.\nAnswer: -3*m*(m - 13)*(m - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -3\/307, 41?\nAnswer: -3\/307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 16*g - 14. Let m be s(17). Let v be 325\/39 + (-4)\/m. Suppose 0 = v*h - 3*h - 20. Which is the closest to -2? (a) -0.1 (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -89\/4. Let d be 27\/15*(-10)\/3. Let m be (d\/8)\/(-10 + 7). Which is the biggest value? (a) -2 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3064*h + 89. Let t(a) = 3063*a + 71. What is -4*b(d) + 5*t(d)?\nAnswer: 3059*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(-96*t + 64*t + 65*t - 2).\nAnswer: -99*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 241259590 and 10010.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 384 and 276?\nAnswer: 8832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:09 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.2 - 6.8. Let m = q + 79. Let g = 23.9986 - m. Round g to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549 a factor of 24496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*207\/(-161)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1.3. Let r = j + 0.2. Let w = 0.05 + -0.35. What is the biggest value in r, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4 - 13380*d**3 - 14878494*d**2 + 89686212*d - 74794335 = 0.\nAnswer: -2233, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 136*z**2 + 266*z + 139. Give w(-66).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/39698 and 28\/1403.\nAnswer: 2421578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34000 and 5757200.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5962092l to millilitres.\nAnswer: 596.2092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1. Let g be 10*(n + 3\/(-5)). Let j be 1\/g + (-76)\/(-16). Which is the nearest to -0.1? (a) 0 (b) j (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90224464\/2128 - (-2 + (-20)\/(-14))\/2 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -3\/28*k**4 + 2\/7*k**3 - 7 - 6\/7*k + 3\/14*k**2. Solve j(n) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-1)\/sqrt(10))**2 + 2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 - 10*h**2 - 6*h + 8. Let a be m(-4). Let k be (-84)\/22 - 14\/77. Suppose 0 + 4 = y. Sort y, k, a in increasing order.\nAnswer: k, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5085447052?\nAnswer: 2, 7, 19, 571, 16741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 4*m - 7. Let i be n(-7). Suppose 2*s = 4*s - i. Let f(d) = -d**3 + 7*d**2 - d + 10. Is f(s) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1320 and 149\/2640.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 + 6*m**2 + 6*m**2 + 6*m**2 + 0*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikfeniegkine. What is prob of sequence kek?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -280 - -277. Let d(h) = -h**2 - 89*h + 42. Let a(y) = y**2 + 89*y - 39. Let z(w) = m*d(w) - 4*a(w). What is the first derivative of z(k) wrt k?\nAnswer: -2*k - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 4*m + 4*m + (4*m - 5*m - m)*(1 + 1 + 0) - m + 2*m - 3*m + 2*m + m - 4*m)*((-3 + 5 + 0)*(3 - 5 + 1) + 2 + 2 - 3).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74919.\nAnswer: 3, 13, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*c + 517 = 214*c + 87*c + 2871 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 14. Suppose 70 = -s*d + 6*d - 4*c, -5*c = 2*d - 52. Suppose -j = -3*m + d, -5*m - 2*j - j = -75. Calculate the lowest common multiple of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099858?\nAnswer: 2, 379, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -57 - 23 - 53*h + 5. What is the tens digit of j(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.8 (b) -28\/21065 (c) -5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 328, -70, 1, 35 in ascending order.\nAnswer: -70, -3, 1, 35, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 499\/8. What is the common denominator of h and -46\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381243 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 301 + w - 301. Let h(t) = -12*t. Determine h(j(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/4 - 43*n\/4 = 0. What is n?\nAnswer: 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3015088817.\nAnswer: 13, 231929909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 71 = -22*z + 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z + z)*(4 + 2 - 4)*(8 - 6 - 13).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/60 + i**4\/2 + i**3\/6 - 16956*i**2. Let b(d) = 3*d**2 + 3*d + 3. Let n be b(-2). What is x(n)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 618, 0.02, -0.3, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 10*r - 30. Give v(-12).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 7*r = -0*r + 3, -458*r + 453*r = -4*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -16*h + 290. What is the remainder when 450 is divided by w(11)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w**2 - 58*w**2 + 11*w**2 - 47*w**2 as d + t*w**2 + b*w and give t.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/9)\/n)\/n**(-7)*(n\/n**(-2\/21))\/(n\/(n\/n**(1\/34))) assuming n is positive.\nAnswer: n**(13945\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 = 4*m, 0*f = -5*f - 2*m + 52. What is the greatest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**5 - 9*a**4 + 5*a**3 + 9*a**2 + 9. Let p(l) = l**4 - l**3 - l**2 - 1. Let n(j) = -36*p(j) - 4*t(j). Factor n(b).\nAnswer: -4*b**3*(b - 2)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 241*g - 203 = 243*g, 0 = 4*a - 3*g - 269. What is the remainder when 176 is divided by a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/100130 and -87\/36890?\nAnswer: 700910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aai when three letters picked without replacement from {i: 4, a: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2129, -17074, -57637, -136622, -266833?\n\"Answer: -2134*x**3 - 5*x**2 + 8*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43937 = -316*m + 5293*m - 4121 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.46 + -6.46. Suppose -4*p + 8*p = 3*z - 14, -4*p - z = 6. Let y be p + 2\/((-16)\/(-14)). Which is the second biggest value? (a) y (b) v (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*g**4 + 26*g**4 + 143*g**4)*(5 - 4 - 3)*(0 - 2 + 4).\nAnswer: -328*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*a**5\/7 + 544*a**4\/7 - 1476*a**3\/7 + 1296*a**2\/7.\nAnswer: -4*a**2*(a - 4)*(4*a - 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -58655016 divided by -25862\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -18561091?\nAnswer: 18561096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 7*b - 10*b - 6906, m + 3*b - 3462 = 0. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 439226 and 654.\nAnswer: 439880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 863.508 minutes in microseconds?\nAnswer: 51810480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*c = 0, c - 10 = 2*b - 4*b. Suppose -p = p - 2*j - 28, -49 = -4*p - b*j. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130679800?\nAnswer: 2, 5, 29, 22531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**6\/300 - k**5\/60 - k**4\/30 - k**3\/30 + 57*k**2. Factor u(y).\nAnswer: -(y + 1)**2*(2*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -62, -2, 5 in decreasing order.\nAnswer: 5, 1, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55.88 - -56. Which is the third smallest value? (a) -0.3 (b) g (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2295 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10014 + 26936. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**6\/1440 + h**5\/240 - h**4\/96 - h**3\/2 - 4*h**2. Let s(a) be the first derivative of x(a). Factor s(i).\nAnswer: -(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7231 to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - 102 + 28 - 20 + 47*y**3 - 49*y**3 as c*y**3 + k + q*y**2 + i*y and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4321*q = 4*l + 4324*q - 3, 2*l - 3*q + 21 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8495, -8490, -8485?\n\"Answer: 5*t - 8500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 5*a**2 - 13*a + 25. Let g be s(8). Find the third derivative of -939*y**3 - g*y**2 - 137*y**4 + 939*y**3 - 10*y**2 wrt y.\nAnswer: -3288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 n when three letters picked without replacement from {l: 2, n: 4, k: 9, i: 1}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/17)\/(q*q**7)*(q\/q**(-1\/6))\/((q**(-2\/5)*q)\/q))**47)**(5\/6) assuming q is positive.\nAnswer: q**(-151387\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 - 114460*b\/3 - 800926.\nAnswer: -2*(b + 21)*(b + 57209)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -92 and 698.708688?\nAnswer: 790.708688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 - 379 = -54*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 7:57 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - f**2 + f - 1. Let k be j(2). Let n = k + -8. Solve -n = m - 0*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 283 + 493 = 0. Suppose -m = 3*r + 103. Let j = r + 2332. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28365 - 10989 = 185*h + 12936 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -541*z**3\/3 - z**2\/2 - 94*z - 400. What is the second derivative of i(s) wrt s?\nAnswer: -1082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q - 20 = 46*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 = -1. Let u be (-2)\/((-3)\/x + 1). Let d be ((-18)\/u)\/(1\/(-10)). What is the highest common divisor of d and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-6)\/(-14)) - 3. Let j = -1.1 + 0.8. Let p = 4.2 + -4.3. What is the nearest to o in p, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820*t + 460*t + 371484 = -4183*t for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 84652561?\nAnswer: 84652561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-10) - 14\/35. Calculate the common denominator of -85\/2 and (-13)\/(-78)*4\/n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 50 = -9 + 67 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2 + sqrt(13) + -3)*-6)**2*5*-6.\nAnswer: -60480 + 8640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 304314*b**3*f**3 + 448*b*f**3 + b*f - 10*f wrt b.\nAnswer: 1825884*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.0194 millilitres to litres.\nAnswer: 0.0460194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 22 = 5*y + 2, -4*c = 2*y - 8. Suppose -w - y*x = -0*x + 9, 5*w = -x - 7. Sort w, 25, 0 in ascending order.\nAnswer: w, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2543804 by -82.\nAnswer: -31022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 12336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*3 + -5)**2.\nAnswer: -240*sqrt(17) + 9817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:59 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7) + 2 - (1*sqrt(35) + sqrt(35))\/sqrt(5).\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*u + 2 + (u + 2*u - 4*u)*(0 + 2 - 1) + (4*u - 2*u + 0*u)*(6 - 3 - 4).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3286 = -294. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 843 * 22\nAnswer: 18546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 2. Let d be p(6). Solve 0 = d*j - 5*v + 21, -2*j - 3 = -0*j + 5*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.7 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*x**4 - 2128*x**3 - 2*x + 47118 wrt x?\nAnswer: 180*x**2 - 12768*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -403*z**2\/2 + 739*z - 1401. Differentiate k(g) with respect to g.\nAnswer: -403","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186946.\nAnswer: 2, 211, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 549.43904 - 0.03904. Let u = -492 + k. What is u rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 15, -229, -1, 3, -5 in descending order.\nAnswer: 15, 3, 2, 1, -1, -5, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -622141?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/2 + -1. Let c = 1543.052 + -1546. Let q = 0.052 - c. What is the biggest value in -4, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.166 + -0.266. What is the closest to 2\/11 in y, 1\/3, -2\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from yeo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16696*a**2*t - 14*a*t - 5*a - t + 4 wrt a?\nAnswer: 33392*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)*1*-6)\/(sqrt(40)\/(sqrt(64)*-3)).\nAnswer: 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + d + 43 = -0*d, -5*d - 96 = v - 85 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 4*q - 2*q)*(-1 + 2 - 4*q**2 + 5*q**2).\nAnswer: 3*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -2\/11 (c) 2\/7 (d) -1\/87 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7268380 rounded to the nearest ten thousand?\nAnswer: 7270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 1593*y**3 + 635208*y**2 - 633616*y.\nAnswer: y*(y - 796)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + v + 7*v)*(-v**3 - 2*v**3 + 2*v**3) to the form o + g*v**3 + z*v**2 + p*v + y*v**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 6 = -2*q. Which is the smallest value? (a) q (b) -0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 166? (a) -0.3 (b) -0.2 (c) 1\/6 (d) -3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 16*z**2 + 15*z - 12. Let n be f(17). Is n not equal to -323\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*q - 77*q + 35*q - 43*q to u + n*q and give n.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 - 4 - (0 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 times 0.0232?\nAnswer: -25.5664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2045 - -2042. What is the nearest to 1\/4 in 2, 4, 7, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*t**3*u**2 - 9*t**3*u - 511*t**3 - 25*t**2*u**2 + t**2 - t*u**2 + 3*u**2 + 55*u wrt u.\nAnswer: 304*t**3 - 50*t**2 - 2*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 - 10*u + 4. Let y be o(4). What is the greatest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**8*o**(1\/7)*o**7\/(o*(o*o**(2\/3))\/o*o) assuming o is positive.\nAnswer: o**(283\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 568\nAnswer: -2272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 140*v**2 - v + 248. Let a be g(-70). Solve 5 = a*d - 313*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**2 + 4914*n + 87480 = 0.\nAnswer: -1620, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 0. Let z = -10 + 19. What is the remainder when (5 + -1)\/(h\/26) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 21*g - 3. Suppose 0 = 19*f - 8 - 11. Let l be q(f). Let r(p) = -p**2 - 9*p - 9. Let b be r(-6). Calculate the highest common factor of l and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1940?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-3)\/((-6)\/(-2)). Find the second derivative of -2*i**4 - i**4 - 2*i**m + 3*i wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**6\/120 - s**5\/12 + s**4\/8 + s**3\/3 - 2*s**2. Let o be t(4). What is the smallest common multiple of 20 + 2 + 1*o and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1612630 or -1612626?\nAnswer: -1612630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - 91. Let g = k + 133. Is -1\/4 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {s: 2, j: 15, w: 3}.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:48 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 9, n: 11}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-12)*6\/4)\/2. Suppose s - 4*v - q = 17, s + v + 2 = 0. What is the least common multiple of 152 and s?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83637.\nAnswer: 3, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008721.5 months in centuries?\nAnswer: 840.60125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/487 and 75\/8.\nAnswer: 3896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26, 26, 47, 1\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 + 17)*(-4*l + 4*l + l) to o + z*l and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2060 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3016\/12*27\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + t + 1. Let a(n) = 2*n + n**2 - 15*n**3 - n**3 + 3*n**3 + 3. Let g(k) = a(k) - 3*p(k). Let b be -1 + 1\/(((-27)\/(-18))\/3). What is g(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13316027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 8*f - 4. Let q be r(-6). Let p be ((-2)\/(-3))\/(q\/36). Let k be ((-4)\/(-12)*p)\/1. Solve c = -k - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -254 - 313?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 13 = -4*w - 13, -26 = -1548*t + 1544*t + 3*w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, u: 5}. Give prob of sequence aauu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30053.\nAnswer: 41, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*t - 6, -t - 4 = -f - 0*t. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 15950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -90*o - 836. Determine j(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(35) - (sqrt(35)*-1*3 + sqrt(35))) + 6*sqrt(875))\/(sqrt(15)\/((sqrt(3) - (sqrt(3) + sqrt(6)\/sqrt(2)))*-3 - sqrt(3))))**2.\nAnswer: 30492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 divided by 2?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**5\/20 - o**4\/2 - 7*o**3\/6 - 2*o**2 + 13*o - 4. Let d be ((-27)\/(-12))\/(3\/(-8)). What is the units digit of v(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 + 75*r + 432. What is the remainder when q(-6) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 614, 0.1, -2, -2\/3.\nAnswer: -74, -2, -2\/3, 0.1, 614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 276, -1 in descending order.\nAnswer: 276, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(36\/(-21)*5\/(-20)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -81410948 to the nearest 1000000.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.6398\nAnswer: -0.06398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 145122 divided by 3\nAnswer: 48374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 244*o**2 + 1437*o + 44. Give p(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1 + (-5 + 2 + 1)*(-3 - 1 - 7))*(-3*z - 13*z - 4*z) in the form v*z + h and give v.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9*((-4)\/6)\/2. Suppose -x + m = -1. Let j(u) be the third derivative of -u**4\/12 + u**3\/6 - 2*u**2. Give j(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/37870 and -55\/14.\nAnswer: 37870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 17*b**2 + 16*b + 3. Let d be m(16). Let s(c) = -15335*c + 2 + 0 + 3. Let k be s(d). What is k rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101111100101 + 100?\nAnswer: -100101111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 1:01 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*o - 5*i, -o - 3*o - 3*i = -22. Let q = -1 + o. Let s(z) = z**3 - z**2 - 3*z. Determine s(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 7*l + 34. Let b(v) = 10*v**3 + v**2 - 3*v + 3. Let q be b(1). Let o(h) = 3*h**2. Calculate the remainder when k(q) is divided by o(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12350?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 386\/1509 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21535 is divided by 198?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 5*w - 49 + 106.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3533363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyd when four letters picked without replacement from yyuyyyydy?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 914636767 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15624\/(-1550) - (100\/(-5))\/2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u + 10 = -3*t, -4*t - 7 = -5*u. Let h = u + 9. Suppose -h = -2*z + 16. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 0.327.\nAnswer: -5.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -271 - -445. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 9 = 3*u. Suppose 0 = u*z - 6, -o = -4*z - 0 + 8. Suppose 7 + 8 = 5*q. Solve o = q*j - d - 11, -2*j - d - 9 = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1554 + 1585. What is the remainder when 52 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -266*l**2 + 467. Let x(p) = -53*p**2 + 94. Let c(i) = 2*w(i) - 11*x(i). Differentiate c(a) with respect to a.\nAnswer: 102*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -5*x + 3*q + 2*q, -4*x + 144 = 3*q. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*f - 5 + 1, -53 = 3*u - f. Let l be 84\/u*28\/(-12). Do l and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023096 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 33 + -24 + (14 - 12) + 0 + -61.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25200)\/(-336)*3\/(-27)*2)\/((-2)\/3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 967.429 tonnes in nanograms?\nAnswer: 967429000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*f + 2, 7*y - 3*y + 6 = -2*f. Let i = f + -3. Let w = 4754 + -4732. Solve w = -4*p - 2*r, -2*r - i*r - 8 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13464 divided by -4?\nAnswer: -3366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 325\/(-80) - 3\/3 and 47\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 516*k**4 + 191.\nAnswer: 2064*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 906949338?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(53\/((-11660)\/60)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c. Let q(z) = 1062*z - 1220. Let f(h) = -3*q(h) + 6*v(h). Find the first derivative of f(i) wrt i.\nAnswer: -3282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(273) - (sqrt(273) - (((1*sqrt(273) - sqrt(273)) + sqrt(273))*-6 - sqrt(273))))\/sqrt(7))\/((sqrt(3) - sqrt(108)*-1)*1))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - -93. List the prime factors of n.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271717 (base 9) in base 15?\nAnswer: 33ec7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17425056 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -32316 (base 8) to base 9\nAnswer: -20480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - q + 0*q - 4881 = 0, -2*u = -5*q - 1934. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -336039*g. Let v(l) = l. Give v(y(j)).\nAnswer: -336039*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7502*h**2 + 9*h + 9. Let g be l(-1). Let f be g\/(-620) - (-2)\/(-20). Solve -9 = p - f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -61. Suppose c = v - d - 8, -3*d = d. What is the third derivative of -v*i - 2*i + 8*i**2 + 2*i**4 + 10*i wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409460539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 16*s**2 + 3*s + 5. What is the units digit of q(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349650928.\nAnswer: 2, 11, 113, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(500) - (sqrt(500) + 1)**2).\nAnswer: -499 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -61, -160, -309, -514, -781?\n\"Answer: -b**3 - 16*b**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Suppose -6*x**4 + 2 - 6*x**3 + 3*x + 0*x**s + 3*x**5 + 12*x**2 - 8 = 0. Calculate x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 6*y**2 + y - 6. Let d be b(5). Let g = -238 + 242. List the prime factors of (-6)\/d - (-153)\/g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g**3 - 23*g**3 + 46*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 1) + (-6 - -2). Let k(o) = o**2 + 4*o - 7. What is the units digit of k(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 h when three letters picked without replacement from khkccdkcdcqdkkcqrcr.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*v**3 + 1572*v**2 - 3*v - 1572*v**2 to the form c*v + s + b*v**3 + i*v**2 and give b.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 0)*(-31*r**3 + 16 - 16) + (-3 + 13*r + 3)*(-2 + 3 + 3*r**2 + 0) to h*r**3 + m*r + s + u*r**2 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*y = 6*d + 33, 5*d + 39 = 2*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 521445676 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*v = -66*v + 143*v + 32318 - 8342 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74503 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 196b52 - 49?\nAnswer: 196b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2318 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 11 = 51. Let d be (-5)\/(-2)*(-8)\/(-5). Solve 5*t = -d*c - u, -2*c + 3*t + 1 + 0 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - -5891669572.17?\nAnswer: 5891669621.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -1.3. Let k = n + -0.9988. What is k rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 952453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22544387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*t + 11, 0 = 4*t + 3*j - 3 - 3. Let v be t*(0 - -1) + (-1 - -1). Solve v*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 + -5*(-23)\/(-345). Let -2\/3*n**2 + 0*n - 1\/6*n**4 + 2\/3*n**3 + i = 0. What is n?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86 - 97. What is the closest to -1 in 0.5, a, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/521 equal to 7\/24877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 2:45 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004259 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.67 at least 4\/311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 135798763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 1\/3 (b) -1\/7 (c) -5 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Sort k, 3, 1, -5 in increasing order.\nAnswer: -5, 1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 + 1)\/(7\/(-511)*-12) and ((-2)\/7)\/((-12)\/(-159)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15022*u**2 + 68*u - 202. Let n be i(3). What is n rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -728*m**4 + 700*m**4 + 1367 + 36 + 1561*m**4 wrt m?\nAnswer: 6132*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 224 (base 5) to base 9\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 24329 + 17552. Let i = 287147\/48 - u. What is the common denominator of -101\/30 and i?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62372425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84) + (sqrt(84) - -2*sqrt(84)*2 - sqrt(84)) + -2*-2*sqrt(84))\/(sqrt(1452) - 2*-1*sqrt(1452) - sqrt(1452) - -5*-2*sqrt(1452)).\nAnswer: -5*sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 k when three letters picked without replacement from {k: 3, u: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 23*h - 2. Let g be t(2). Suppose 2657 = u + 2612. Which is smaller: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -663111\/173 - -3833. What is the third biggest value in g, 3, -3, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27678 + -27679. Let o = -35\/4 - -19\/2. What is the second biggest value in o, 1, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*x**4\/7 + 6084*x**3\/7 + 1163496*x**2\/7 + 66710780*x\/7 - 40446642\/7 = 0. What is x?\nAnswer: -251, -107, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/b**(2\/13))\/(b**4*b**(-2\/7)) assuming b is positive.\nAnswer: b**(-170\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 2*w)*(1 + 0 - 2)*(-258*w**3 + 14*w**3 - 4*w**3).\nAnswer: 248*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/10*(-3 - -5). Suppose 2*z - 1 + 6 = -3*w, 3*z - 9 = w. Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2\/8)*31856\/(-99550)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1. Let s = 17 + -19. Which is the nearest to -1? (a) s (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -20, -68, -166, -332?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**2. Let y(w) = -w - 2. Let k(h) = -12*h - 27. Let v(g) = 2*k(g) - 27*y(g). Calculate v(o(l)).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - -572. Suppose -4*s + 9*s = -3*q + 3095, s - l = 3*q. List the prime factors of s.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(-7350)*7 + (-54694)\/575?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 1:20 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnnc when four letters picked without replacement from {c: 3, n: 4, h: 4, a: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (47 + 78 - 41)*(-30 + 3*v + 30) + 1 - 2*v - 1 in the form o + u*v and give u.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9638354.\nAnswer: 2, 11, 17, 25771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 6*q - 7*q - 2536, 4*q - 1540 = -3*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 53474, 106938, 160402, 213866?\n\"Answer: 53464*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**3 - w + 0*w**2 + 0 + 5\/12*w**4. Let u(q) = -q. Calculate x(u(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(36\/33)*-38. Let r = 372 - t. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 7:51 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24171, -24152, -24127, -24096, -24059, -24016, -23967?\n\"Answer: 3*s**2 + 10*s - 24184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6994?\nAnswer: 2, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 24 = 2*i - 10, 3*i - 5*k - 91 = 0. Let y = -12 + i. Is 2\/y + 848\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 2. Let s(y) = -5277*y - 8. Give s(i) + 4*x(i).\nAnswer: -5273*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Suppose x*u = -0*u + 128. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 733.5 - 733. Let d = 1153\/7 - 165. Put r, 7\/8, 2\/7, d in decreasing order.\nAnswer: 7\/8, r, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -4 + (-4)\/(4\/1). Let w(t) = -4*t**2 + 5*t**z - 4*t**2 + t**2. Let o(l) be the first derivative of -l**2\/2 + 2. Calculate o(w(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = 3*r, -3*f + 4*r = -5 - 3. Solve f = -g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*u)*(17*u**2 + 7 - 7) to s*u**2 + x*u**3 + g + q*u and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 275.73 + -275.7. Sort n, 4, 3, 0.5 in descending order.\nAnswer: 4, 3, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 555.6? (a) -0.11 (b) 0.04 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 88 - 23 + 17*c - 23 - 17 - 19.\nAnswer: 17*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 31. Suppose 8*v - c*v = 16. Let j(y) = y**3 + 16*y**2 - 3*y - 13. Does 9 divide j(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28214960 and 0.025.\nAnswer: -28214959.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -121*r**2 - 128*r**2 + 246*r**2. Let q(k) = k - 8. Determine q(t(z)).\nAnswer: -3*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/5 - 507*r**2\/5 + 3128*r\/5 + 3633\/5 = 0. What is r?\nAnswer: -519\/2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/21)\/(283\/(-28) + (54 - 44))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5 - 6 - y + 5 + 2*y - 7*y. Let b(s) = -7*s - 7. What is -3*b(o) + 4*g(o)?\nAnswer: -3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -761.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 5\/2) + (9 - 5). What is the nearest to -1 in -5, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1183 - 5948\/5. Calculate the common denominator of g and 59\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61064 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.98 + -491703173475\nAnswer: -491703173473.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203025003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6 - -7.0123?\nAnswer: -1.5877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 19046*z\/5 + 90687529\/5.\nAnswer: (z - 9523)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 126 = -22*c + 20*c + 55*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 0 + 0)*(4*g - 2*g - 8*g - g**3)*(5 - 2 - 1) to c + f*g**2 + k*g**4 + h*g**3 + z*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -11*q**7\/105 + 11*q**3\/6 - 14*q**2. Differentiate h(l) with respect to l.\nAnswer: -88*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/((-3)\/(-2)*1). Suppose 9*t - 32 = m*t. Find the common denominator of -25\/8 and ((-47)\/6)\/(t\/12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50312057, -50312058, -50312059, -50312060?\nAnswer: -50312061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2020, 4217, 6414, 8611, 10808, 13005?\n\"Answer: 2197*v - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9e - -90a45?\nAnswer: 90996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 11*v - 10. Let k be l(-1). Suppose -37*t - 56 = -45*t. Solve t*b - 4*b + 3 = k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 12756.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.919 - 0.081. Let y = b + 58. Let a = 25.96 - y. Round a to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1239\/575800?\nAnswer: -1239\/575800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*12285\/630?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**3*r + 8*b**2*r - 2*b*r + 8*b wrt b?\nAnswer: -66*b*r + 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 57699?\nAnswer: 57699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niqn when four letters picked without replacement from iqiqnnnq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 4)*224\/(-140). Let d(u) = u**3 - u**2 - 8*u + 12. Let z be d(m). Calculate the greatest common divisor of 36 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/168 and ((-10)\/64)\/(-75 + 74).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000541097 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:38 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(312)\/(5*sqrt(12))*-3)\/(-3*sqrt(72)) + -3.\nAnswer: sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21352 and 18596336.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 2 y when four letters picked without replacement from {p: 2, y: 3, q: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121.9 - 117. Let n = o - -0.1. Sort 0.1, n, -1\/8 in increasing order.\nAnswer: -1\/8, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + (0 - -7) + -237 + 205.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q - 32*q - 6*q.\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {d: 9, v: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 2*k**2 + 80 + 85 - 247 + 86. Suppose 0 = -5*m - 1 + 6. Let n = m + -4. Calculate i(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:19 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 82, 240, 544, 1042, 1782, 2812?\nAnswer: 4180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1034*a + 533*a + 546*a to the form y + d*a and give d.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 4) in base 2?\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 0.058191149453308.\nAnswer: 2.058191149453308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + (sqrt(700) + 1 - sqrt(700)) + 5*sqrt(700)*-1)**2.\nAnswer: -300*sqrt(7) + 17507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 15\/7*f - 36\/7 - 1\/7*f**2 = 0?\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 23*m + 29 = -28*m, 5*d - 4*m = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -54*h + 1. Let y be q(-2). Let n = y + -49. Find the common denominator of (-639)\/n - (-1)\/(-4) and -121\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 4*l**2 + 2*l. Let p be 2\/4*(0 - -6). Let z be -1 - (-3)\/(p\/5). Is 4 a factor of v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 987545, 1975068, 2962591, 3950114, 4937637?\nAnswer: 5925160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155 - 151 - (9 - (0 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3878, -7847, -12008, -16457, -21290, -26603?\nAnswer: -32492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28563.\nAnswer: 3, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*i = -39513 - 13992. Calculate the lowest common multiple of i and 783.\nAnswer: 3915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -108605*u. Let o(y) = -12*y**2. Give p(o(f)).\nAnswer: 1303260*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*7\/(-63)*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k**2 + 4*k**2 - 3*k**2 to z*k + v*k**2 + u and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 11:22 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*(-8 + 20). Suppose 2*m = 2 - 12, 0 = -5*w - 4*m - 20. Suppose 0 = 4*l - w*l - 16. Calculate the highest common divisor of l and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (96\/18)\/((-2)\/(-12)). Suppose 0 = -4*u + 4*l + 44 + z, l + 82 = 4*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31874 rounded to the nearest 100?\nAnswer: 31900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + sqrt(275) + sqrt(275))*5*6*4 + -2 + -1).\nAnswer: -972 + 4800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from qlpllqxlqbrbxr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 3*v - 5*v)*(2 + 1 - 4) - 10571345 - 7582*v + 10571345 in the form y + h*v and give h.\nAnswer: -7580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, r: 13}. What is prob of sequence jrj?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 7*z**2 + 20*z + 80. Let n be a(-6). Is -140 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-6))\/(1\/4). Suppose -7 = 4*u - 3*c, 3*c + 1 = -2*u + 2. List the prime factors of ((-2)\/(-4))\/(u\/z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*b**4\/8 + 91461*b**3\/4 - 6774*b**2 = 0. Calculate b.\nAnswer: 0, 8\/27, 2258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57\/20 - 13\/4. Let k(z) = -3 - 9 - 6 + 7*z + 0. Let h be k(3). What is the closest to i in h, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + 110?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 2:47 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-24)\/2)\/(-168)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 5*j**2 + j + 9. Let r be b(5). Let t = -37 + 42. Let o be (-1 + t)*(-350)\/(-40). What is the greatest common divisor of o and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from ctmctccmkmmcct?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*c, 5*c - 2*c - 16*f = -17*f. Let d(l) be the second derivative of 0*l**4 + 16*l - 3\/4*l**5 + c + 0*l**3 + 1\/2*l**2. Differentiate d(u) wrt u.\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 8*c + 1. Suppose -2*o + 7 = -9. Let j be f(o). Suppose 2*u - 2*b - 13 = j, u = -2*b - 2. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 7, -51, -1\/3?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-56)\/16 + 1687\/10. Let f(l) be the first derivative of 7 - d*l**5 + 1075\/2*l**4 + 49\/3*l**6 - 216*l - 402*l**3 - 648*l**2. Factor f(v).\nAnswer: 2*(v - 3)**3*(7*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5422*n - 6156*n + 12494*n - 1.\nAnswer: 916*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 4*d**2 - d + 2. Suppose 2*y - y = 10. Let u = 13 - y. Suppose -8 = u*v + 1. Calculate k(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(30\/(-90)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20671 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3 + 1*sqrt(242) + 1)*-4)**2.\nAnswer: 8448*sqrt(2) + 24768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 33\/19, 0.2, -0.5, 0.1, -1\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51190 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43644 or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 46, 100, 166, 238, 310, 376?\n\"Answer: -w**3 + 15*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1820)\/273 + -3*(-2)\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3554?\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4 + x**3 + 7*x**2 - x - 6 = 0 for x.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -382600*r. Let x(l) = 42*l. Calculate x(w(j)).\nAnswer: -16069200*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.9 + 25. Let i = -25.36 + 25.4. Let g = -1 + 0.6. Which is the third biggest value? (a) g (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44746 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 64. Let g(w) = 2*w - 7. Calculate the remainder when j is divided by g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 - -0.07. What is the biggest value in 6, 3, b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 773, 1508, 2235, 2954, 3665, 4368, 5063?\n\"Answer: -4*k**2 + 747*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 6*z**2 - 2*z + 17. Let x be a(-5). Suppose 7*c = x + 54. Solve 0 = i - 3*i - c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 1:39 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, w: 2, k: 1}. What is prob of sequence wkv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35 and 23.3641.\nAnswer: -817.7435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -5. Let o = 7 + g. Let l(r) = r - 4 + 3 + o*r**2 + 1. What is l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/33741 and -29\/30807.\nAnswer: 708561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*y + 3*y**2 - 3*y**2 - 9*y - 26*y**4 wrt y.\nAnswer: -312*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + s + 6 = -s, -5*r - 3*s - 13 = 0. Let a be -2 + (2 - 2)\/r. What is the units digit of (-17 - a)*4\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 0.18, -1, 53 in descending order.\nAnswer: 53, 1, 0.18, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2581\/12 - 215. Let b(k) be the second derivative of -1\/24*k**4 + 0 - 1\/40*k**5 - 2*k + g*k**3 + 1\/4*k**2. Factor b(q).\nAnswer: -(q - 1)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.278 rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 216\/(-21) + ((-253)\/(-616) - (-2)\/(-16))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/62440 and -97\/7705096.\nAnswer: 38525480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - r - 32, -5*q - 8*r + 13 = -27. Let v(w) = -7 + 2*w - 2 - 2 + 14*w. What is the remainder when v(q) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5230*a**3*p + 3*a**2*p**2*v - 2*a**2*p**2 + a*p*v - 2*a*v + a + 170*p**2 + 785*p*v wrt a.\nAnswer: -31380*a*p + 6*p**2*v - 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (0 - 2 - 4). Let o be 6*(-6)\/(-126)*j. Solve -3*q + o = -10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a - 424. Suppose 3*y = y. Suppose z = -z - p + a, z - p - 59 = y. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 0*x + 3*x)*(9*x**3 - 2*x - x**4 + 2*x).\nAnswer: x**5 - 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 894180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -8. Suppose 3*h = 14 + 1. Let l = h - 2. Solve -2*n + 8 = -l*b, 2*b = 5*n + u*b + 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afv when three letters picked without replacement from {d: 1, f: 1, i: 2, v: 1, a: 5}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5506913 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8215 - -7722. Is f less than or equal to -505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 15855\/1800 - 2\/(-3)) + -5. Which is bigger: 8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4\/((-20)\/15). Let s be 5*m\/((-15)\/5). Does 0 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -147.4091 and 2.\nAnswer: -294.8182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ababbabaabbb. Give prob of picking 4 b.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -143, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 20*k = 3335. Let c = -326 - k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 773695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1123*-15*(-4)\/60.\nAnswer: 2246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 2. Suppose -14*y + 11*y = 6. What is w(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3618 and 8289?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -69. Let o(f) = f**3 - 2*f**2 + 2*f + 1. Let k = 28 - 26. Let y be o(k). Which is the closest to y? (a) 0.4 (b) n (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1001 and 689?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8\/(-10) - (-6853)\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/(384\/(-20))*(-14)\/(-3) and -111\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 242*t**3 - 264*t**2 - 3360*t + 6272 = 0?\nAnswer: -4, 28\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfwn when four letters picked without replacement from fwgqgfgnwgqgggqnq?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/17))\/(b**(7\/4)\/b)*b**1\/b**(-9\/2) assuming b is positive.\nAnswer: b**(383\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14\/3 - -67\/15. What is the second biggest value in d, 0.1, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a + 4 + a**3 + 3*a + 3*a**2. Let z be k(-3). Suppose z*w - 5*w + 6 = -4*b, 5*b + 13 = 4*w. Solve -w*y = -u + 15, -6*u + u = -4*y - 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b84 - -2520?\nAnswer: 33a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - d + 50, 2*h + 4*d + 0*d = 2. Let j be -3 - h\/(-2) - 1. What is the second biggest value in j, -3\/4, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 - 3*k**4 + 0*k**4 + (4*k**3 + 17 - 17)*(0 + 0 + k) + 3*k**4 - 3*k**4 + 2*k**4 + 21*k**3 - 21*k**3 + 2*k**4 - k.\nAnswer: 6*k**4 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Suppose i*g - 9*g = 0. Let l = -25\/77 + 3\/77. Which is the nearest to g? (a) -0.5 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - x = -3*x - 2, m - 2*x = 1. What is the tens digit of m\/(2\/(-3))*1494\/(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 34. Suppose 39*t + 6120 = 42*t. Suppose -85 = x*w - t. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3078 + 3072 = w, 19*w = -4*r + 130 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*v**6 + v**5 + 6*v**2?\nAnswer: 8520*v**3 + 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 2*m**2 - 6*m + 3. Suppose 0 = -2*g - 2*v - 8, 0 = -g + 4*v + 2 - 1. Let y(p) = -2*p**3 + 6*p**2 - 17*p + 8. Determine g*y(d) + 8*l(d).\nAnswer: -2*d**3 - 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n - 5. Let u be d(-4). Suppose u + 6*w - 3*w**2 - 7 - 3*w = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8808755.\nAnswer: 5, 1761751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 6. Let g = f - -3. Which is the third smallest value? (a) -0.2 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500865300 and 1575?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 3, g: 1, d: 2, y: 10}. Give prob of sequence gcb.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 340346594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**3 - 6*h**2 + 4*h**3 + 3 - 3*h**4 + 0*h**3 - 2*h**4 + 4*h**3 in the form w*h**4 + i*h**3 + m*h**2 + u*h + q and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415123.\nAnswer: 17, 24419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/(c\/c**4))\/(c\/(c**(-2\/33)\/c)*c*c*c**(1\/11)*c) assuming c is positive.\nAnswer: c**(-71\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c86d4 (base 15) in base 7?\nAnswer: 24213133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.9 times -54960?\nAnswer: 1478424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) - 2\/6. Let s = -7 - -4. Let v(h) = -8*h - 26. Let k be v(-3). Sort k, s, f.\nAnswer: s, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 54, 94, 122, 132, 118?\n\"Answer: -x**3 + 47*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1 - 1 + 1 + 23*r. Let n(z) = -z**2 - 294*z - 4682. Calculate the lowest common multiple of q(1) and n(-17).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*t - t + 18, -31 = -3*u + 4*t. Solve 3*x = -3*a + 3, 3*a - a - 11 = -u*x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 - 10?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f**2 + 32*f - 181. Is s(5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6557412 and 8022?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -685553461, -685553462, -685553463, -685553464?\n\"Answer: -m - 685553460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h - 12*h + 2*x = 42, -12 = 2*h - 4*h - 7*x for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1275*w - 8917. Calculate l(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -10, -2, -4, 4.\nAnswer: -10, -4, -2, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*z = 2*d - 571*z + 18 + 14, 12 = z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*g - 2509 = 1292 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8801 is divided by 2933.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.29 - -4.6. Let b = w - -0.99. What is b rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*x - 2 = 3*r, -5*x = -20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 25 + 9 = -2*y, 5*c + 30 = 4*y. Calculate the highest common divisor of 730 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5840*j + 5612*j + 5820*j - 17596*j.\nAnswer: -324*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 93008057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, -37, -126, -281, -520, -861, -1322, -1921?\n\"Answer: -3*x**3 - 6*x**2 - 2*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 90, 366, 826, 1470?\n\"Answer: 92*p**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*z - 107*z + 24 = 0. What is the remainder when 188 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.02277185 rounded to 3 decimal places?\nAnswer: 63.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 14 = 6*d - 3*h, 0 = 2*d + 2*h. Let u(k) = -14*k**2 - 5*k + 14. Let s be u(d). Let r = s + 72. Solve -r = -6*f + f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77895 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -290645696, -290645685, -290645660, -290645615, -290645544, -290645441, -290645300, -290645115?\n\"Answer: o**3 + o**2 + o - 290645699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**7\/35 + 287*l**6\/60 + 751*l**5\/30 + 653*l**4\/12 + 62*l**3 + 2515*l**2. Let c(p) = 0. Calculate p.\nAnswer: -93, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -8 - (61 - 87) - -5.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 12*f = -24. Suppose 3*i - 126 = -3*u, -f*i = -u - 48 - 27. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174750555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + (-2 - -1) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 8*x**2 - 2*x**3 - 6*x + 15*x**2. Let r(l) = -2*l**3 + 8*l**2 - 6*l. Let m(b) = -3*k(b) + 2*r(b). Solve m(a) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3*y**4 + y - 2139*y**2 + 2139*y**2 in the form x*y**2 + n*y**3 + f*y**4 + c + b*y and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -4*q - 12, -q + 5*q + 2*p + 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523 + 875 = -11*s for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4619 + 728*i - 4619 + (0*i - i + 0*i)*(1 - 2 + 0) as m + f*i and give f.\nAnswer: 729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -232 and -0.98.\nAnswer: -232.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (23 - 33) - (0 + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*h*i - 12*h*k - 133*h + 2066201*i*k - 63*k + 31 with respect to i.\nAnswer: 93*h + 2066201*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*g + 3*g + 20, 4*c = g + 12. Suppose 3*m = -c*t + 190, t = 11*m - 12*m + 47. What is the highest common divisor of 245 and t?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176685 and 118695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 11 = -5. Suppose -z*p - 15 = -3*d, -5*p + 6 = 4*d - 2*p. Let c = d + 135. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 164064340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**2 - 5*g - 9. Let o(y) = 10*y**2 - 7*y - 13. Let u = 25 + -28. Let t be (6 - -2) + u\/(-1) + -4. What is t*n(i) - 5*o(i)?\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let y be v(-4). What is the first derivative of 4 + r**4 - 1 + 2*r**y - 7 wrt r?\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 86810.3 weeks?\nAnswer: 875047824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126901.\nAnswer: 19, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 4305232.\nAnswer: -1\/538154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7252, -7269, -7306, -7369, -7464, -7597, -7774?\n\"Answer: -u**3 - 4*u**2 + 2*u - 7249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8769453 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 15, b: 5}. What is prob of picking 3 f?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -425303.05 + 414252. Let s = g - -11050.7400026. Let m = s - -0.31. Round m to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f. Suppose f = u - 1 + 1. Suppose 4*a = -3*h + 7*a - 9, -3*h + 2*a - 10 = u. What is the closest to -2\/5 in -0.4, -1\/3, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 4*((-45)\/10 + 4). Suppose -5*h + 3*w + 26 = 0, h + 5*w = i*w - 2. Solve 2*j - 18 = 5*j - 4*x, j = -h*x + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11977*n - 1575 = 12012*n for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5290, 6105, 7464, 9373, 11838, 14865, 18460, 22629?\n\"Answer: o**3 + 266*o**2 + 10*o + 5013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*b - 0*f - 126, b + 5*f + 42 = 0. Is b at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1778 is divided by 254.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 310*m**3 + 4800*m**2 + 310*m - 4805.\nAnswer: 5*(m - 31)**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmqm when four letters picked without replacement from {q: 2, m: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (27 - -5) + (4 - -2) + 1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11233 (base 7) in base 6?\nAnswer: 21134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 158 = -104. Let d be (-12 - 273\/14)*4\/o. Solve 0 = 2*p + 3*i - 8*i + d, -2*p - 1 = -i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 13. Let g = -90.64 + 90.24. Which is the third biggest value? (a) g (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 - 190 - (-90 - 1) - 15?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*h = 35, -6*o + o = 4*h + 37. Let r(q) be the second derivative of q**3\/6 + 7*q**2\/2 - q. Let p be r(o). Are p and -2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 7:02 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**3 - 2*f**2 - 6*f - 7. What is the units digit of i(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 2, t: 1, a: 5, w: 1, f: 3}. What is prob of picking 1 f and 2 a?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4942\/(-4236)*2\/(-7). Let a = -0.09 - 5.91. Put a, w, -1\/13, 2\/3 in increasing order.\nAnswer: a, -1\/13, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 bigger than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/14318242 and 26\/9.\nAnswer: 128864178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-30))\/((-3)\/45). Suppose 2*q = 3*c - 4, -c + 2*c - 4 = -2*q. Let m(o) = -5*o**2 + 0 - 1 + c*o**2 + o**3 + j*o**2. Give m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 0.55957, -12, -1\/5 in increasing order.\nAnswer: -12, -1\/5, 0.55957, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 30 = -2*o, -4*n - 74*o + 75*o = 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 388, 777, 1166, 1555?\n\"Answer: 389*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - 24) + -15 + (0 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 598, 727, 856, 985, 1114, 1243?\n\"Answer: 129*r + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, 201, 810, 1887, 3588, 6069, 9486, 13995?\nAnswer: 19752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 49 - 41 = 0. Suppose n = -2*n + x. Suppose -3*o - 10 = -3*i - 4, -2*o = 2*i - 16. What is the nearest to -2\/7 in 2\/7, o, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 5*f. Let y be n(6). Let i be ((-38)\/(-4))\/(y\/180). Calculate the common denominator of 20 and (4\/(-15))\/(6\/i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -5. Let n be (-16)\/(-6)*(-15)\/i. Suppose 0 = t - 2 - n. What is the remainder when 18 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + 0.38. Let t be 3\/(-2) - (-99)\/44. Which is the third smallest value? (a) 0.6 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**5 - 296*a**2 + 80*a - 16. Let k(g) = 2*g**5 + 98*g**2 - 27*g + 5. Let i(v) = -10*k(v) - 3*u(v). What is the second derivative of i(x) wrt x?\nAnswer: -40*x**3 - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -504 + 444 - 23*y - 16*y. Let n(g) = -8*g - 12. Determine -24*n(h) + 5*t(h).\nAnswer: -3*h - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*g + 1874 - 1874. Let g + 4\/19*l**2 + 2\/19*l = 0. Calculate l.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(4) - 3*sqrt(8)\/sqrt(2))\/sqrt(2) + sqrt(6)\/((sqrt(9)\/sqrt(3) + sqrt(3))*5))**2.\nAnswer: 311\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 - -629?\nAnswer: 5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28a - 4?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 13\/((-117)\/840)*3\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 30*d - 64*d + 22*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -201 - -144. Let q = -68.9 - z. Let p = -12 - q. Which is the biggest value? (a) p (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-77) - 40\/(-22). Suppose -5*l = -7*l + k. Is 2\/3 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22, 1 in decreasing order.\nAnswer: 2, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q + r = 21*q + 20272, 5*r = -8*q + 81092. Is 87 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5*-18.42\nAnswer: 46.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585, 582, 579, 576, 573, 570?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -197018?\nAnswer: -4\/98509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-14)*(-3)\/((-9)\/(-1))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 85*v**2 + 15*v + 51. Let p(o) = 43*o**2 + 8*o + 25. Let f(w) = 7*p(w) - 3*y(w). Is f(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 554 - 1109\/2. Let n = -3 + 2. Let d = 0 + n. What is the nearest to d in w, 0.3, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*g - 0. Let d = 3 - g. Let c = 5 - d. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 - 2*t + 1. Let g be z(2). Suppose 2*h - 7*u = -3*u - 8, -h + 5*u = g. Suppose 2*n = -v - 0 + 31, 5*v = -h*n + 187. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-87)\/(-27) + 4\/(-18). Let o be ((-5)\/4)\/(13\/(-52)). Suppose p*s + 10 = o*s. Solve -3*a + s = -1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.3, 14\/177, -2, -6\/5, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 + 199. Solve -f*u - 6 = j, -3*j + 4*u + 7 = -13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7879, 15767, 23641, 31495, 39323, 47119?\nAnswer: 54877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 7:11 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/12 + 6\/(-12))*3. Let i(d) = d**3 + 5*d**2 - 4*d. Let r be i(-5). Suppose -3*q = q + r. Sort -2, q, s.\nAnswer: q, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 20*b + 139 = -86 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16752 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 - 2*i**4 - 474*i**2 + 3*i**4 + 3*i**3 + 485*i**2 + 7 in the form z*i + w*i**2 + r + o*i**4 + u*i**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*r - 6*r - 25, 30 = 3*x - 3*r. Let -3*g**3 - 3*g**3 + 10*g**3 + 12*g**3 - 11*g**x - 20*g**4 + 15*g**5 = 0. What is g?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6550818257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1740 and 203133255.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 1413, 4875, 11615, 22725, 39297?\nAnswer: 62423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72230 + -50428. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 7:09 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) -21235 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2779 is divided by 1021?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 253033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 e when four letters picked without replacement from {y: 3, w: 2, e: 8, n: 2}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 + 7*u**2 + 2*u**2 - 9*u**2 - 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 1 - 13. Let d = 10 + f. Calculate the least common multiple of d and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m. Let w(j) = 1389474*j. Calculate w(r(x)).\nAnswer: -2778948*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2344 = -2*j. Suppose 4*k - 306 = j. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1223754442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n - 263. Give m(-54).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.71 times 342439\nAnswer: -243131.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030332220212 - -10?\nAnswer: -1030332220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -523050?\nAnswer: 523051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/186 and (2410\/120 - 2) + -13.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1966991962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3698\/8 - (-476)\/272. What is the highest common divisor of s and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -10. Let n be (-3)\/9 - r\/3. Sort 4, -5, n in ascending order.\nAnswer: -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 - 11*s + 25. Let g be b(4). Suppose -3*h + g = -5*c, h + 4*c - 2 = 25. Let v(l) = l**2 - l + 36. What are the prime factors of v(h)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000289 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:59 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 - 542*b + 5124. Calculate r(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.588 rounded to 0 dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 6*w + 4. Let i be 1 + (1 - (2 - 22)). Suppose -30 = 4*n - 3*a, -2*n - 4*a + 9*a - i = 0. Does 2 divide q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249443*s - 1330 = -249445*s. Calculate the highest common factor of 1855 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*a + 10 = -2*a, -10 = 5*a. Suppose -2*s = -t*s + 24. What is the lowest common multiple of s and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 407413780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.191 - 0.191. What is the third smallest value in -1\/2, 4, v, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 11:00 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**3 + 6*r**2 - 6*r - 3. Let b(s) = 4*s**3 - 7*s**2 + 7*s + 4. Let v = 2925 + -2918. Determine v*a(d) + 6*b(d).\nAnswer: -4*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -6*x + 22*x. Let c(q) be the first derivative of 1\/12*q**2 + 1\/9*q**x - 1 + 1\/24*q**4 + 0*q. Factor c(r).\nAnswer: r*(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d**2 - d + 2. Let r(c) = -1349*c**3 + 27*c**2 - 3*c + 2713. Let p(h) = -r(h) + 3*s(h). Find the first derivative of p(n) wrt n.\nAnswer: 4047*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 96. Suppose 40 + i = 10*p. Solve 2 - p = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -2109838?\nAnswer: 210983.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 (base 10) in base 3?\nAnswer: 22112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64.6 + -135.9. Round n to the nearest integer.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000494632 rounded to 6 decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -753 != -753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1127+-13.7756717866\nAnswer: -1140.7756717866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 67 + (-16 + 2 - -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.6647.\nAnswer: 0.13294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 - 67. Suppose -m = 11 - y. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)\/x*x**(-1\/5)\/x*x)\/(x**5\/(x*x**(-10\/11)\/x)))**(-33) assuming x is positive.\nAnswer: x**(1503\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 4. Let i(t) = -11*t + 1 + 3*t**3 - 5*t - 5*t + 24*t - 7*t**2. Is i(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g**3 + 80*g**2 - 117*g - 21. Determine q(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -2. Let r(i) = 4*i - 61. Let n be r(15). Let g = 4 + -2. Which is the nearest to n? (a) g (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57*36000.\nAnswer: 2052000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + 2.8. Let u = 197 - 194.98. Let c = 0.02 - u. Sort a, c, -5 in decreasing order.\nAnswer: a, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + -6*(sqrt(24)\/(sqrt(32)\/sqrt(16)) - (-1*sqrt(300)*6 + sqrt(300))) + -5)**2.\nAnswer: 3744*sqrt(3) + 292072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5995, -6022, -6035, -6028, -5995, -5930?\nAnswer: -5827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1 + 200993.\nAnswer: 200994.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apqeaaaaacapfeaaaae. Give prob of picking 1 e, 1 f, and 2 p.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10*i + 12720 = 151*i. Suppose -3*t = -4*q + 174, 0 = 5*q + 5*t + 19 - 219. Calculate the remainder when i is divided by q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {d: 2, g: 9, q: 1, f: 4}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 3*r + 19647. Let m = r - 52313\/8. Find the common denominator of -109\/10 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b + 0*b + 14*b + 60 - 7*b to i*b + w and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -56192815*x - 6. Let l(i) = -3*i**2. Give b(l(c)).\nAnswer: 168578445*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 3*x. Let a(y) = -5*y**2 + 12*y. Let v(n) = 3*n - 4. Let k be v(2). Determine k*a(b) + 9*o(b).\nAnswer: -b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10573097 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*m**2 + 18*m - 39\/2 = 0 for m.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.140574 rounded to 3 decimal places?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-11))\/((-8)\/(-1))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 289 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, -1.6, 5, -6\/5, -1 in increasing order.\nAnswer: -1.6, -6\/5, -1, -0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*h**3 + 11*h**3 + 8*h**3)*(1 + 1 - 4)*(0 - 1 + 0) + (-3*h**3 + 6*h**3 - 2*h**3)*(-2 - 3 + 6) - 3699*h - 171*h**3 + 3699*h.\nAnswer: -172*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*j - 19, -3*c - 5*j = -2*j + 6. Suppose 3 - c = -7*a. Solve a + 4 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 11\/2. Let w be (-7)\/4 + (1184\/(-640) - (-3)\/5). Which is the closest to d? (a) 4 (b) -33 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-289 - 31*c + 276 - 33*c)*(-3*c**2 - c**2 - 2*c**3 + 2*c**2).\nAnswer: 128*c**4 + 154*c**3 + 26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b. Let z(a) = 4*a**2 - 2*a + 2. Let j(c) = 4*c + 0*c**2 + c**2 - c - 6*c**2 - 3. Let y(w) = 2*j(w) + 3*z(w). Calculate y(p(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(192)*6)**2 + 1 + (-1 + sqrt(192))**2 + (0 + (1 + sqrt(192))**2 - sqrt(192)) + -3.\nAnswer: -8*sqrt(3) + 28032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**7\/840 + o**6\/4 + 45*o**5\/2 - 125*o**4\/12 + 7*o + 6. Let c(y) be the third derivative of j(y). Let c(m) = 0. Calculate m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -24) + 4 - 21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 702*g + 3463. What is l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2333 - 2310. Solve 0 = -8*b + u + 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -45341?\nAnswer: -45341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 4\/7, -5, -4869?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11001100 + -3110311?\nAnswer: -20112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from icmmrmcqmccmcdr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10388911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3*20\/25)\/((-3)\/110) is divided by ((-28)\/(-140))\/((-96)\/510 + 1\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 195\nAnswer: -17\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 0*t - 4*t + 627.\nAnswer: -2*t + 627","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2447031 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*w = -0*g + 15, 5*g - 15 = 3*w. Suppose 3*u + 3 - 15 = g. Is 4 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*i - 24 = 0, -v + 153 - 119 = 10*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.28 + -59.28. Let u = 0.555 + -3.555. Which is the third biggest value? (a) w (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:42 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3.6. Let a = y - -0.6. Let x = -2.2 + a. What is the nearest to -1 in x, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + c**2. Let o be l(1). Suppose o = 2*k + 2*w + w - 65, 2*w - 30 = -k. Differentiate -76*t**3 - 26 + k*t**3 + 70*t**3 with respect to t.\nAnswer: 102*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 + -67 - ((5 - 0) + -4 + -19)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540*y + 543*y = 12*g - 270, 10 = -5*y for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**6\/60 + k**5\/20 + k**4\/24 - 695*k**2. Give i(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -13554*c - 2832786. Give s(-209).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 10 + 1. Let m = 1 - f. Let b = -1253 - -1250. Put m, 0, b in increasing order.\nAnswer: b, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*g - 22, 4*g = -i - 7 - 4. Let o = 1.249 - -1.751. What is the nearest to -1 in -0.13, g, o?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8537.\nAnswer: 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 636.9842cm in meters?\nAnswer: 6.369842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*k + 12*k**4 + 10*k**4 - 2*k**2 - 21*k**4 as d*k**2 + v*k + j*k**4 + a + u*k**3 and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-102)\/136 - (2 + 98\/(-8)) and -75\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1548\/(-602)*35\/(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6369, -12589, -18807, -25023?\nAnswer: -31237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11571 and -0.798078?\nAnswer: 11571.798078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.710119855 rounded to 4 decimal places?\nAnswer: 11.7101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**4\/8 - 17*v**3\/6 - 2*v**2. Let f be j(5). Is f < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2805\/6732)\/(2\/(-72)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2903.7721 * 1.\nAnswer: 2903.7721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 12, 7*b = 2*b - i - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -694500 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40107198, -80214398, -120321596, -160428792?\nAnswer: -200535986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 7*h. Suppose 0 = w - h*w - 22. What is the derivative of -12 + w - 10 - 17 + 11*c wrt c?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 2*n - 2*n + 4*n + 2*n + 2*n**3 + 37 - 272 to the form g*n**3 + x + r*n**2 + q*n and give x.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k**2 + 2*k - 7. Calculate the remainder when n(-3) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3890026 to the nearest integer?\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 106 = -3*h - 49, -5*o = 4*h - 90 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -49 (b) -11 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2350 and 1360.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/360 + i**5\/15 + 5*i**4\/24 - 27*i**3\/2 + 213*i**2. Let w(u) be the first derivative of g(u). What is w(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59431 is divided by 4569?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21210011 + -112011?\nAnswer: 21021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 730565 divided by -146113.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19a287 - -1a?\nAnswer: -19a26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5935 - -7.8095. Round k to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 20. Let f(k) be the first derivative of -35*k**4\/4 - k**3\/3 - k**2\/2 - 11. List the prime factors of f(b).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrvnv. What is prob of picking 1 v and 1 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3*o**3 + 1002*l**3*o**2 - 150*l*o**2 - 3*l*o - 9*o**3 wrt l.\nAnswer: -6*l*o**3 + 6012*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-9 - -12 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyvnxxvveaxxnxxax. What is prob of sequence xvn?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 9 + 21 = 0. Solve 5*v + i - 5 = -13, -i = d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 71 - 2?\nAnswer: 6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 159952 = -27*o. Suppose 1712 = -37*c + o. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**2 + 10*q**2 + 10*q - 20*q + 10*q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**19*n**23)**31 assuming n is positive.\nAnswer: n**1302","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htitihvtvit. What is prob of picking 3 t and 1 v?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/27 or 39\/4?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 3*l**8\/56 - 13*l**7\/42 - 7*l**4\/12 - 13*l**2\/2 - 2*l - 144. Find the third derivative of c(r) wrt r.\nAnswer: 360*r**3 - 780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*a - 200*a = -121 - 1247 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2521*o**4 - 389*o**3 - o**2 - 11910624.\nAnswer: -10084*o**3 - 1167*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -153, -231, -309?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - 0. Let z be 610\/10*-1 + 17. Is y less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12094, -27194, -45298, -66406, -90518?\nAnswer: -117634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -11, 1, -2 in ascending order.\nAnswer: -11, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -l - 6, -2*d - 3*l - 28 = 3*d. Sort -9, d, -6 in decreasing order.\nAnswer: d, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2121021211001 (base 3) to base 15\nAnswer: -1c4ddd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121 by -14.\nAnswer: -121\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/8 - 135*f**2\/8 + 717*f\/4 - 162.\nAnswer: -3*(f - 8)*(f - 1)*(f + 54)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29142*s**3 + 14485*s**3 + 14503*s**3.\nAnswer: -154*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*u**5 - 122382*u**4 + 34989*u**3 + 122382*u**2 - 34968*u = 0. What is u?\nAnswer: -5828, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 e when three letters picked without replacement from {q: 15, e: 3}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {k: 3, w: 3, u: 12}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 12119*w**3 + 12079*w**3 + 3 - 24201*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idglildldiddlii. Give prob of sequence lllg.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 115*c**3 + c - 2*c**2 + c**2 + 5 - 5. Is x(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v = 309. What are the prime factors of v?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11129.\nAnswer: 31, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + w**2 + 3*w + 3. Let l(b) = b**2 + 9*b + 6. Let t be l(-8). What are the prime factors of j(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 2)*(1145*l**2 - 698*l**2 - 638*l**2) to the form h*l + n*l**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 151900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-18))\/(-1*(-2)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 2*t + 3*t)*(0*t - 4*t + 5*t) + (2 - 2 + t**2)*(-17 - 21 - 2).\nAnswer: -41*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/7)\/r*r\/(r\/(r*r*r*r**(7\/2)))*r**(1\/27)\/(r**(-2\/5)*r) assuming r is positive.\nAnswer: r**(8791\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0*o - q - 6, 4*o - q - 16 = 0. Let b be (-24)\/(3 + -6)*58\/4. Suppose k - o*k = -b. What is the remainder when k is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -114*a**3*f**2*g + 3*a**3*f + 33*a**2 - 4513*a*f**2 + 3599*g**2 wrt g.\nAnswer: -114*a**3*f**2 + 7198*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 11. Let h(r) be the second derivative of -r**4\/12 + 7*r**3\/6 - 4*r**2 + r. What is h(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4539362421 rounded to three dps?\nAnswer: 0.454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*s = -144*s + 216*s - 9029646. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -7. Let s = -0.1 + 0. Let x = 10113\/4 - 2528. Which is the nearest to s? (a) h (b) x (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4581*l**4 + 8*l**2 + 108869*l.\nAnswer: -54972*l**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 2) + 5 - (5 + 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2. Let t(y) be the second derivative of 25*y**4\/12 - 7*y - 2. Give t(l(c)).\nAnswer: 225*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/3))**(-19)*(w**(1\/4))**1 assuming w is positive.\nAnswer: w**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3006, 44, -11 in decreasing order.\nAnswer: 44, -11, -3006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 25*g + 3730. Let h be r(-51). Let q = -3 - -2.5. What is the nearest to h in -2\/7, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = 5*x - 3, -5 = 5*p. Let m(z) = -2 + 3*z - 5 + 1 - 4*z - z**3. Calculate m(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4156 a factor of 633299592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 1992047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -6. Let d = 7.1 + v. Let w = 4.95 - -0.05. Put 0.3, w, d in decreasing order.\nAnswer: w, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007522 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 8 - 1 - 1 - 3 + 5 + (-3 + 5 - 1)*(-1 + 0 - 1) + 2 - 1 + 0)*(18*h + 43*h - 11*h) as o + n*h and give n.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4\/12 + u**2. Let w = 51 - 23. Let y(c) = -w*c - 30*c + 85*c - 32*c. What is y(n(z))?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 2:36 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -35, 3, -0.1, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 56. Let t be q(-25). Calculate the common denominator of -77\/6 and (0 - (-3)\/t) + 904\/(-336).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = r - 9. Let w be r + ((15\/6)\/(-5) - -1). Is 0.11 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282666 is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2, 4, -8, -7 in descending order.\nAnswer: 4, 2, -7, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7968\/(-747))\/(2\/(-3)*1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413 a factor of 390234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 6384*u**2 + 1\/2*u**4 + 6498*u - 227\/2*u**3 + 0 = 0. What is u?\nAnswer: -1, 0, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 + 2*b + 1. Let f be c(-3). Let k(h) = 6*h**2 - 9*h + 1. Let q be k(3). What is the highest common factor of f and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2, -4*t - 227*k + 1830 = -226*k. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 9. Let a = 12 + p. Suppose -2*x + 23 = a*c, -4*x - 1 = 2*c - 23. Solve -m - 11 = -c*h - 0*h, 0 = -3*h - 5*m + 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -276743712 divided by -92247904\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13*k**(-3\/7))\/(k*k*(k*k**(5\/7))\/k)**16 assuming k is positive.\nAnswer: k**(-216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70184.\nAnswer: 2, 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -22ba0?\nAnswer: -22ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {q: 1, d: 2, y: 1, n: 1, g: 1, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-22 + (-2466)\/(-108)) - 26*-1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.089 times 0.1\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnnnuunn?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*p = -0 + 17, 5*y - 19 = p. Suppose -4*h + 43 = -5*a + 165, -86 = -3*a - y*h. Which is greater: 23 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.67071586 rounded to two decimal places?\nAnswer: -58.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.051 + -0.025. What is m rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 + 2*i**3 - 4*i**3 - 9*i**3 - 11*i**3 + 7*i**3 + (-4*i - i**2 + 4*i)*(i - i + 2*i))*(14 - 14 - 5*i).\nAnswer: 70*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3092 + 2?\nAnswer: -3090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 d when three letters picked without replacement from ldsypyr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/(-91)*442\/(-51). Let h(a) be the second derivative of 1\/6*a**p + 4*a + 0*a**2 + 0 + 0*a**3. Let w(i) = -i**2. Give w(h(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)*v*v*v*v*v**(3\/4))**(-38) assuming v is positive.\nAnswer: v**(-1653\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.5 + 31. Let f = 0.5 - j. Let q = f + 8.00000066. Round q to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v. Let h(y) = 3*y**2 + 5*y + 5. Let w(x) be the second derivative of -x**4\/3 - x**3 - 3*x**2 + 2*x. Let f(i) = 6*h(i) + 5*w(i). Determine m(f(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 16.53899?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d + 7. Let z(f) = 2*f + 4. Determine 3*b(x) - 5*z(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a1 - -1406?\nAnswer: 14a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3652a (base 11) to base 6.\nAnswer: 55351200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -66. Suppose b - 12 = -q - 0*b, -5*q + 2*b = -39. Suppose q*z + 14 = 41. Which is greater: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 20 = -p, 25 = -5*c - 5*p. Is (15\/(-12))\/(c\/12) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -31. What is the closest to 0.1 in j, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 9:50 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssipusti. Give prob of picking 2 s.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -111552 and 2407.\nAnswer: -109145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3 + (((sqrt(315)*2)\/sqrt(9))\/sqrt(7))**2 - ((sqrt(80) + 0 - sqrt(80)) + -4 + -5)))*-4.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -10\/3*l**2 + 0 + 2\/63*l**7 - l - 22\/9*l**3 - 2\/9*l**4 + 2\/3*l**5 + 14\/45*l**6. Factor i(g).\nAnswer: 4*(g - 1)*(g + 1)**3*(g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-7)\/((0 - 0) + 1))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {p: 3, i: 2, x: 2, o: 8, h: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10*z = -1056. Suppose 3*k = -5*j + 77, 4*k = 3*j - 8*j + z. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.94901 nanometers to kilometers.\nAnswer: 0.00000000002394901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/24 - ((-87)\/10 + 2\/10). Let t(c) be the first derivative of c**4\/4 - 3*c**3 + 4*c**2 + 4*c + 1. Determine t(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*l - 19*l**3 + 28*l)*(-28*l + 57*l + 69*l).\nAnswer: -1862*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 7*d**2 + 5*d - 4. Let b be c(-6). Let g = 18 - 18.3. Let a = g + 0.5. Put a, -6, b in descending order.\nAnswer: b, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 182*c**2 - 1. Let t be s(-1). Is (t - -7) + 6\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29*(-7)\/((-21)\/33)?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 51 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 341841942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9575 + 0.0425. Let f = 55.8 - 59.8. Which is the fourth smallest value? (a) -3 (b) f (c) 0.11 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72830 + 312302 = 23*t - 419891. What are the prime factors of t?\nAnswer: 3, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 2*t + 2. Let h be (-13)\/5 - (-4)\/(-10). Let m = h + 7. What is b(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5603\/7 + -805. Find the common denominator of p and 2*-2 + -5*35\/15.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/3 + 5*o**4\/3 + o**3 - 5*o**2\/3 - 4*o\/3.\nAnswer: o*(o - 1)*(o + 1)**2*(o + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 161*n - 40 + 40 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -6, -2\/5, 1, 7\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55 + 39*k + 55)*(-3 + 4 + 1) to j*k + p and give j.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14658356?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6413 - 3301. List the prime factors of x.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 - 33*s**2\/2 - 1089*s\/4.\nAnswer: -s*(s + 33)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 15*b**3 + 12*b**2 - 83*b - 5. Let p(c) = 8*c**3 + 6*c**2 - 48*c - 3. Let d(g) = 5*p(g) - 3*u(g). Let s(l) = -l**3 + l. Calculate d(i) - 6*s(i).\nAnswer: i**3 - 6*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255110 (base 14) in base 5?\nAnswer: 312003113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 261, 3, -4 in decreasing order.\nAnswer: 261, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*f = -9, -4*m - 5*f + 13 + 37 = 0. Solve -z + 4 = k, -m*z = 2*k + 22 - 27 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2881*a + 24. Let k(c) = -15*c. Determine w(k(t)).\nAnswer: 43215*t + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -20.3. Let f = 5.1 + -5. Is f != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 361\/25677 or 0?\nAnswer: 361\/25677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1287 + 368. Let g = -66283\/40 + k. Find the common denominator of g and -113\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, s: 1, t: 1, e: 1, v: 1}. What is prob of sequence tz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 966 - 3*t**3 + 8*t + 473 - 2*t**3 - 35*t - 4*t**3 wrt t.\nAnswer: -27*t**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5392 + -2549. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2422901 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040946638?\nAnswer: 2, 5741, 90659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9 + 9 - 2 - 9 - 4 - 61*x + 9*x**2. Let c be k(7). Let j = 1443\/13889 + 1\/731. Sort -0.5, -2, j, c in ascending order.\nAnswer: -2, c, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + 3)*2 + -3)**2.\nAnswer: 84*sqrt(17) + 3341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2208 divided by -96\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30\/11 + -42\/11. Let d be 6 + (1 - 7) + 2. Suppose 1 = -d*z + 1. Is z at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 2 + -3)*5. Suppose 5*y + 18 = 3*g, s*y - 2*y + 10 = g. Let k be (-3 - 0 - -4)*g. Which is greater: k or 1\/28?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77535, 4, -18, -3 in decreasing order.\nAnswer: 77535, 4, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4867 or 4862?\nAnswer: 4867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 547 - 17303?\nAnswer: -16867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*a - 92831, -3*a - 30*j + 69625 = -28*j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 12:50 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 208, 768869?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.18 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 6*n**2 - 6*n - 4. Let s be k(-5). Suppose -s + 13 = 2*u. Find the third derivative of -o**2 - 2*o**u + 0*o**6 + 0*o**2 wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/28 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-36))\/(35\/(-28))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4\/2 + 105*p**3 + 13374*p**2 - 813732*p - 13667808 = 0.\nAnswer: -88, -14, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -428899111*k**3 - 13*k - 13370985?\nAnswer: -2573394666*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -356418 + 356258.719. What is o rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 63, -10, -12008, -2 in increasing order.\nAnswer: -12008, -10, -3, -2, 1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7569270 divided by -90?\nAnswer: 84103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9172 + 9172. Solve 4*a + 247 - 251 = r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 - 62. Suppose r + 90 = g*r. What is the smallest common multiple of 36 and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.9 - -15. Let g = -1.8 - -0.9. Let m = h + g. Do -2\/7 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13441\/((-1 + 2473)\/4). Let r = 26\/309 + y. Let a = -21743\/18 + 1211. What is the common denominator of a and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29160.946212 + 29161. Let v = -15.950712 - d. Let g = v + 16. Round g to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*p + 5 = 0, -35*s - 51 = -30*s - 30*p - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2946860 by -245.\nAnswer: 12028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from xyxonyxyny?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -1.94 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*i + 31, -2*j - 2*i + 14 = -0*i. Let a(c) = 3 + c + 4*c - 2*c - j*c. Let x be a(-3). Put x, -1, -10 in decreasing order.\nAnswer: x, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38655371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14361790 and 21542685?\nAnswer: 43085370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868 = -3*t - 29353*u + 29334*u, t + 182 = -4*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1890 + 3779\/2. Let n = 18 + -18.1. What is the smallest value in n, -6, a, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56948809 to the nearest integer?\nAnswer: 7546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5113*k = 5109*k + 42, -5*k + 27 = 4*m - 2*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 486 + -471. Calculate the greatest common divisor of 375 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 92d9 - -2?\nAnswer: 92db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*v - 195*v - 11*v + 583*v - 192*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -4\/9 (c) 1\/5 (d) -1\/551 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1008) + -3)*-3 + -5 - ((-4 + sqrt(1008))*2 + -5 + -2))**2.\nAnswer: -1920*sqrt(7) + 25456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 2*d. Let w(i) be the first derivative of 8*i**3\/3 - 17*i**2\/2 - 11. Determine -51*q(p) - 6*w(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 6 + 20*a - 3 + 0 in the form o*a + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 2 (c) -2\/5 (d) -3\/8 (e) 1546 (f) 43\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -11*k**2 - 2*k**3 - 11*k + 52 - 119 + k**3 + 56 + 0*k**3. Calculate z(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170976 and 2607072.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 + 7*f + 2. Let d be q(-2). Solve 4*r = -d*o, -2*r - 6 = 3*o + o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62001 (base 13) in base 7?\nAnswer: 1331265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0089655543 to six dps.\nAnswer: -0.008966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - u + 3. Let h be a(4). Suppose 0 = 7*y - 10*y + h. Suppose i = 6 + y. Is i <= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*v**5 + 3448*v**4\/5 + 2489*v**3\/5 - 594*v**2 - 2457*v\/5 - 54 = 0. What is v?\nAnswer: -3\/4, -2\/15, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -15fce?\nAnswer: 15fc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1584) + 2)**2*-4 + -2)*-4*-5.\nAnswer: -508320 - 15360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11272\/56 - 4\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-4*sqrt(480))\/(-1*sqrt(24)) + 3)*-3)**2.\nAnswer: -2160*sqrt(5) + 72081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 11729.\nAnswer: 4\/11729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 3. Let z = 54 + -53. Let s be (z\/c + 0)*1. Put s, 5, -0.1 in ascending order.\nAnswer: s, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f + 3*f)*((0*f + f - 3*f)*(3 + 2 - 3) - 3*f + 8 - 8 + (0 - 2*f + 0)*(-541 + 626 + 738)).\nAnswer: -1653*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32919 = -525*d + 9245 + 7186 for d.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2840, -5496, -8146, -10784, -13404, -16000, -18566, -21096?\nAnswer: -23584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 4407?\nAnswer: -22035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -231614017*j - 373926844?\nAnswer: -231614017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 290851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from tnecy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 472503.5 millilitres in litres?\nAnswer: 472.5035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 4. Let i be b(6). Suppose 0 = -y - 5*x - 27, -5*y - i*x = 2 + 18. Let g = y - -3. Let v(s) = -7*s + 1. What is v(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*q = -84, 4*y - 2*q = -1394 + 1484 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2014 - 0.176. Round j to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 5.35, -10, 1\/5 in increasing order.\nAnswer: -10, 2\/21, 1\/5, 5.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -2*h**5\/25 - 31*h**4\/10 + 68*h**3\/15 + 64*h**2\/5 + 1963. Solve j(l) = 0 for l.\nAnswer: -32, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3)*4 - (sqrt(22)\/sqrt(2) + 0))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 2:36 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*n, 4*s - 104*n = -102*n + 4870. Calculate the greatest common factor of 209 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -13 - (5 - ((5 - 11) + 10))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27822 and 48.\nAnswer: 222576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -2\/63 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 450*n - 2375.\nAnswer: 5*(n - 95)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 18*h + 108 = 0. Suppose -186 = -2*v - h. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 6*a**2 + a - 1. Let j be z(6). Suppose -4*t = p - 220008, -j*t + 10 = -0*t. What is p rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -238\/5. Factor 2\/5*r + z*r**3 + 0 - 4\/5*r**2.\nAnswer: 2*r*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uruz when four letters picked without replacement from {z: 4, u: 8, r: 1}?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.34 + 0.04. Sort 2\/15, -0.2, y in increasing order.\nAnswer: y, -0.2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*r - 37 = 0, 2 = -4*s - 3*r + 55. Factor 57*b**2 - 36*b**3 + s*b**2 - 162*b**2 + 16*b + 24*b**2.\nAnswer: -4*b*(b + 2)*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35788 is divided by 484.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-48) - (-3)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6707, -6682, -6647, -6602, -6547, -6482, -6407?\nAnswer: -6322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 10*w**4 - w**3\/3 - w**2 - w - 947. Calculate l(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(51)*4*5)\/((sqrt(30)*1 + sqrt(30))\/sqrt(10) + -1*sqrt(147) + sqrt(3)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1344)\/(-1120)*(-57490)\/(-6)?\nAnswer: 2, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -cf16 (base 16) in base 8?\nAnswer: -147426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -579239?\nAnswer: -5\/579239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7272 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i**2 + 11*i + 4. Let l = 811 - 577. Suppose -15*y = 3*y + l. Let j(q) = 5*q**2 + 5*q + 2. Calculate y*j(u) + 6*o(u).\nAnswer: u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/23 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 473, 680, 1015, 1478?\nAnswer: 2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(3\/10))**(-5)\/(s**(-7)\/((s**(-3)*s)\/s)*s**6\/(s*s\/s**(-6\/7))) assuming s is positive.\nAnswer: s**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 5*r - 257. Let v = r + -22. Calculate the lowest common multiple of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(700) + 1)**2.\nAnswer: 60*sqrt(7) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 6. Let t(m) = m**2 + 6*m + 7. Let n be t(r). Suppose -5*i + 16 + 77 = n*v, -4*i - 53 = -v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327484?\nAnswer: 2, 19, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 8. Let q be 0 + (1 + -2 - -1). Let f be s(q). Suppose b + 2*a = -f, b + 3 = 5*b + a. Solve 2*k - 4 = -b*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -24.156912883509.\nAnswer: -20.156912883509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 0*l**3 + 6 + 2*l**3 as j*l + t*l**2 + w*l**3 + f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1583*v + 933799. Calculate w(590).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-15))\/((-102)\/85).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -22) + -11 - (6 - 10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*w - 20 = -71*w. Suppose w*z - 20 = -m - 1, -5*z = -m - 17. Solve 5*y**4 + 3*y**2 + 23*y**3 - y**5 - 7*y**m - 10*y**3 - 13*y**3 = 0 for y.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3\/7 (c) -3 (d) 267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10 (b) 3\/4 (c) 61 (d) -3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (8 - (15 + -3) - 12) - 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -103\/2?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, k: 7}. Give prob of picking 1 k and 1 y.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -120 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 + 2*k + 19 + (-155 + 212 + 334 + 155)*(-k + k - 2*k).\nAnswer: -1090*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**3 + 2*s**2 + 5*s + 10. Let w(u) = 8*u**3 + 2*u**2 + 6*u + 11. Let k(d) = -6*w(d) + 7*y(d). Let v be k(0). Solve -h - v*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 2, x: 7, w: 4, e: 4, m: 1}. What is prob of sequence me?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8553 - 153?\nAnswer: -86a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2066, 2064, 2062, 2060, 2058?\n\"Answer: -2*y + 2068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40568689?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y. Let i(h) be the second derivative of -h**6\/240 - h**4\/3 + 4*h. Let s(o) be the third derivative of i(o). What is p(s(l))?\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21670803 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/(-434) + 25575\/(-770)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1346082517 to 3 dps.\nAnswer: 0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -14*h - 32. Does 22 divide o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f**3 - 3*f**2 + 2*f + 4. Let j(z) = -5*z**2 + 265*z + 556. Calculate the remainder when k(3) is divided by j(55).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.9 + -1.1. Which is the nearest to -1? (a) 1 (b) f (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40, 62, 82, 100, 116, 130, 142?\n\"Answer: -x**2 + 25*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert b7 (base 12) to base 9.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -49, -5, 17193 in ascending order.\nAnswer: -49, -5, 9, 17193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -13 - v**2 + 13 + 4*v. Let w be g(3). Suppose -2*b = -13 - w. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 30 = 5*u. Let h be 587\/9 + (-4)\/u. Let f = h - 37. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 320001*r**2 - 3*r + 2. Let p be (-32)\/(-12) - 6\/9. Let b be x(p). What is b rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9 + 9*l**2 + 2*l + 6*l + 3. Let s be d(9). Let y = s - 12703\/16. Find the common denominator of y and 5\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 461933820 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-147))\/((-4)\/12). Let f = 0.2 + 0.3. Suppose u + 10 = 3*y, 3*y + y - 35 = -3*u. Put o, f, u in decreasing order.\nAnswer: u, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5506 greater than 89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -778.4 + 775.4. Let q = 1\/84 - -163\/420. Which is the closest to 1\/3? (a) j (b) 1 (c) 6 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from rdb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 3, q: 1, x: 1, c: 6}. Give prob of picking 1 x, 1 c, and 1 q.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:21 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((10*v - 3*v - 3*v)*(-4 + 2 + 1 - 3 + 7 - 2 + (-1 + 5 - 5)*(0 - 2 + 1) + 3 - 2 - 2) + 2*v - 5*v + 0*v)*(4 - 2 - 4) in the form n*v + m and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 21 = 7*b. Let p(v) be the first derivative of v**4\/4 + v**3 + v**2\/2 + 1. What is p(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 0 - 1\/6*o**4 + 1\/20*o**5 - 3\/2*o**2 + 5\/6*o**3 - 5*o. Is 24 a factor of g(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 7 (c) -2\/163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -45416437?\nAnswer: -45416433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**3*m)\/m)\/(m**(1\/3)\/m)*(m**(-1\/3)\/m)\/m*m*m\/(m*m*(m\/(m*m\/(m\/(m**(2\/11)*m))*m*m))\/m) assuming m is positive.\nAnswer: m**(215\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose -3*g = -14 + d. Suppose -2*r - g = 0, -2*v + 2*r - 7*r = 4. Solve -2 = -v*i + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 650 - 641. Solve 8*y = b*y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 24 - 69 = 5*t, 22 = -2*t + 3*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085121485 to the power of 1\/4, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -34*l**3 - 15*l - 14. Let j be x(-1). Suppose 5*i - j*w - 617 = -37*w, -3*i + 3*w = -366. List the prime factors of i.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*y - 5*g + 7*g, -3*y + 45 = -3*g. Suppose 1155 = -y*x + 22740. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1869, 1867, 1857, 1833, 1789, 1719, 1617, 1477?\n\"Answer: -k**3 + 2*k**2 - k + 1869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - l + l + (-2 + 3 + 1)*(l + 0*l + 0*l))*(5*l**2 + 0*l**2 + 54*l**2) in the form k*l**2 + s*l + o + c*l**3 and give c.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -4 (b) 2\/3 (c) 2\/299 (d) 8 (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*b + 4 = 0, 3*b + b + 4 = 4*k. Solve -2*a - 2 - 4 = k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/90 and -10\/171.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120287 and 1739?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29, 28, 11, -28, -95, -196?\n\"Answer: -p**3 - 2*p**2 + 12*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 + 70 - 11*o to a*o + c and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 1. Let r be c(-1). Suppose s - 3*s = r. Suppose -200 = -g - u, s = -2*g - 0*g + 3*u + 395. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -407 - 81680?\nAnswer: -82087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13972 * 2.\nAnswer: -27944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1638 and -25\/64428.\nAnswer: 193284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 376*z + 9. Let c(m) = 375*m + 8. Let a(v) = -6*c(v) + 7*q(v). Is a(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 1. Let b = -404 - -412. Let k(n) = 20*n - 1 - 4 + 5 + 7 - b*n. What is -k(u) - 6*o(u)?\nAnswer: -6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -404, -792, -1124, -1370, -1500?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77099897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075984500 divided by 14346460?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 divided by -16879?\nAnswer: -385\/16879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -11022214?\nAnswer: 11022204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/12 + 5\/(-20))\/(-3). Is 9\/27*(k - (-12639)\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-2)\/(2 - -2)). Suppose 12*z = 10*z + 3*v - 1235, -4*v = 2*z + 1270. List the prime factors of z\/j + (-4)\/((-32)\/6).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62372 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (23 + -27 + 6)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from dddahhad?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = n - 5*r, 4*n - r - r = 22. Let q(i) = 4*i - 8. Let d(f) = -f**2 - 17*f + 43. Let s be d(-19). Let w be q(s). Solve -5*k + n = -w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6348 - -6348.2. Are w and 505\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159.9615 tonnes to micrograms.\nAnswer: 159961500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkd when three letters picked without replacement from {z: 1, v: 1, x: 3, d: 2, s: 1, k: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 4*v**3\/3 + 4*v**2 - 15. Suppose q(j) = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18820 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - d**4 - d**4 + (1 + 1 + 2)*(-2*d**4 + d**4 + 2*d**4).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.3. Let w = 190 + -198.3. Let r = w - -8.6. Put k, 0.03, r in ascending order.\nAnswer: k, 0.03, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3))\/((r*r**(-2))\/r))\/(r**(-1)*r**(3\/5)*r)*((r\/r**(-2\/7))**47)**(5\/6) assuming r is positive.\nAnswer: r**(3483\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 473432610 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 142*s**2 + 3*s + s.\nAnswer: 142*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -6*p + 2*p + 15, 3*w + 6 = p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33702 divided by 137.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -62*v**2 + 51*v - 231. Let p be q(9). Which is smaller: -4793 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20397 is divided by 136?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 173.7261 millilitres?\nAnswer: 0.1737261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943888484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 7*u**2 - 12. Let x(m) = m**3 - 6*m**2 - m + 11. Let p(l) = 5*s(l) + 6*x(l). Is 10 a factor of p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2730140353.\nAnswer: 157, 17389429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-3 + 1 - (-2 + -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 37. Sort -5, 0, -2, v in descending order.\nAnswer: 0, v, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 9:04 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 3*i**2 - 36*i + 97. Does 15 divide n(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1332100 - 10?\nAnswer: -1332110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + k + (5 + 1 + 0)*(9*k + 16*k + 4*k + 2) + k - 4 + 4.\nAnswer: 176*k + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/63 and -121\/5185152.\nAnswer: 5185152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - g. Let c(z) = -13*z + 249. Let j be c(19). Let k(h) = -1686*h + 1686*h + 2*h**j. What is k(l(a))?\nAnswer: 32*a**4 - 16*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2*k - 2*a**2 - 31*a*k - 236*k wrt a?\nAnswer: -2*a*k - 4*a - 31*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/(sqrt(8)\/sqrt(4)) + (sqrt(312)*-2)\/sqrt(6))*-6)\/(((sqrt(384)\/sqrt(8))\/sqrt(12) - sqrt(4)) + sqrt(8)\/(sqrt(16)\/sqrt(8))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -277, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfkxfknkfx. Give prob of picking 4 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6327, 12598, 18779, 24840, 30751, 36482?\n\"Answer: -5*b**3 - 15*b**2 + 6351*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, g: 5, w: 3, a: 3}. Give prob of sequence wgw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 8:29 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.2, 85?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -r + 3*s, -3*r + 4*r = -s - 1. Suppose 0 = -4*u + 3*d + 6265, 2*d - r = d. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t - 295 = -42*t - 5*g, 0 = 3*t + 2*g - 459. What is the remainder when 1704 is divided by t?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -763552.894.\nAnswer: -763553.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-204)\/(-5)*((-80)\/(-6))\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4583 is divided by 71.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004166 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -107*b + 25. Let h(i) = -105*i + 25. Let d(l) = 2*h(l) - 3*y(l). Let p be d(-7). Is 10 a factor of p\/(-6) - (-14)\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-12 - -7)) + (-14 - -9) - 37.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 13, -4, -10 in descending order.\nAnswer: 13, 5, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 539 + -528. Suppose 0 = -3*m + 6, -b = z - 2*m - 3*m. Is z equal to 2\/525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 2. Let h = 688523\/35922 + -3\/5987. What is the common denominator of h and l + 2*89\/16?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((627\/(-165))\/(54\/(-405)))\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1888299\/25 or 75531?\nAnswer: 1888299\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f - 56 - 28*f + 8*f - 65*f - 18*f wrt f?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1 - 3 - 11800*m + 2. Let a = -7 + 12. Let k be v(a). Round k to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0*h**5 + 1\/3*h**3 + 9*h + 0 + 0*h**4 - 1\/3*h**6 + 0*h**2. Find the second derivative of s(c) wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 500757*g + 5007620. What is b(-10)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*x, 2*d - x - 4*x = 0. Suppose u = -5*c - 11, d = -u - u + 2*c + 2. Calculate the remainder when (u\/4*-4)\/1*10 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5256371.\nAnswer: 5256371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 - 130. Let y = 1061 - 998. Let r = y + o. What is the least common multiple of r and 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, 39, 58, 77, 96, 115?\n\"Answer: 19*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 7*b**2 + 3. Let z be (6\/18)\/(1\/9). Suppose -7 = -3*o - 1, v + 1 = -z*o. Let j be y(v). Is 1 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 divided by -6?\nAnswer: -367\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 11*r. Let t be v(-10). Let b = t - -215. Solve 0 = -b*z + 3*i - 25, -5*z + 4*z + i - 7 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**4 + 10*d**4 + 0*d**4)*(d + 3*d - 2*d)*(4 - 5 + 0).\nAnswer: -32*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/17 - 38*z**3\/17 + 40*z**2\/17 = 0.\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -8\/3*u**3 - 1\/60*u**5 + 0 + 0*u**4 + 0*u + 30*u**2. What is the first derivative of t(b) wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 2*t + 61. Is k(21) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (972\/(-4))\/(((-6)\/(-4))\/(-8*18\/288))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41458 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-34.244.\nAnswer: 3.4244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**6\/240 - b**4\/4 - 4*b. Let d(j) be the third derivative of w(j). Let l(a) = 2*a + 0*a + a. Determine d(l(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(1*sqrt(162) - sqrt(162))\/(sqrt(9) + sqrt(63)\/(sqrt(7) + sqrt(7)*1 + sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 60*o**2 + 1725*o + 1651. Let r(j) = 20*j**2 + 575*j + 558. Let n(p) = -17*r(p) + 6*s(p). Suppose n(c) = 0. Calculate c.\nAnswer: -28, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 736264, 736265, 736266, 736267, 736268?\nAnswer: 736269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 145 = 3*s, 2*s + 0*f = 4*f + 60. Let j = -2 + s. Suppose 2*z = 3*z - j. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 160*8\/(-40) - (-79)\/8.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12208 by 8.\nAnswer: -1526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.16 + 4. Let s = r - -0.06. Let v = s + 1.1. Is v != -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 1:36 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**4\/t*t*t**(-3\/2)*(t**(-1))**36*(t**(2\/5)\/t**(-7))**(-5\/9) assuming t is positive.\nAnswer: t**(-641\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -71?\nAnswer: 49.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 391696250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741162.\nAnswer: 2, 3, 123527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2857, 2704, 2439, 2056, 1549, 912?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -30, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*l + 134*l + 146*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/388 and 2955\/(-1800) + -2*(-1)\/(-6).\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 5, 2 in descending order.\nAnswer: 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -12*j + 1477. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58866477?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssszzszs. Give prob of sequence ssss.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-4\/17)*t)\/(t\/(t\/(t\/((t*t\/(t*t\/(t\/t**(-34))))\/t)))))\/(t*t**(-29)*t*t)**6 assuming t is positive.\nAnswer: t**(3243\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 791264807 to the nearest integer?\nAnswer: 28129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in millimeters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + o. Let c be j(0). Suppose 0 = k - 9*k. Suppose -4*l - 5*s = -k + 4, 5*s + 24 = l. Sort c, -2, l.\nAnswer: -2, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216 + -21. Suppose 5*k + 0*k = r. 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: Let j be 3 + -2 - -3 - 4. Find the second derivative of j*k**3 + 9*k**3 - k**3 + 29*k wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-10) + (-8*589\/798 - 2\/21)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 135147080.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + o**2 + 10*o - 8. Let d be r(2). Solve d*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 5)**2 + 0 - (sqrt(75) + -4).\nAnswer: 5*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(-1\/2))\/a)**(-5))**47\/((a**(-2\/17)*a**(-2))\/(a*a**0)**(-13)) assuming a is positive.\nAnswer: a**(-4365\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6328.759 millimeters to centimeters.\nAnswer: 632.8759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.36623 rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -10. What is the units digit of (-3)\/v - (-9)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z + 34. What is d(-13)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 878970 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4291*a + 11. Let d(v) = -2*v**2. Give l(d(m)).\nAnswer: -8582*m**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6978 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6484038, 6484046, 6484054, 6484062, 6484070, 6484078?\nAnswer: 6484086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -63. Let p be 6\/4 + 52\/(-8). Let t(a) = 8*a**2 - 13*a - 34. Let j be t(p). What is the greatest common divisor of j and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**4\/2 + 67*u**3\/3 + 3*u**2 - 34. What is the units digit of g(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 8*n + 10. Let r be f(-7). Suppose -2*w + r + 7 = 0. Suppose w*l - 15 = 45. Calculate the greatest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 11) + 14 + 0 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*((-94)\/6 + -1) - 3. Let v = 51 + c. What are the prime factors of 1 + 29 - (-6)\/4*v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z + 4*m + 1332 = 0, 0 = 3*m. Suppose -z = -19*f + 17*f. Suppose -a = 5*a - f. Calculate the highest common factor of 185 and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 2*l**2 + 5*l**2)*(-5 + 11 - 4) + (2 + 1 + 29)*(1 - l - 1)*(-3 - 2 + 3)*(l - 3*l + l).\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - o - 19 = 0, -25439 = -5*b - 2*o - 25344 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*5*(-103)\/515.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukzeo. Give prob of sequence ou.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -844 divided by 844?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68567478 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7167 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**3 + 14*z + 4. Calculate g(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/14)\/(582\/2037).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(6\/(-1))\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f**2 + 12*f + 9. Let o(n) = n**2 - n - 1. Let p(v) = -5*o(v) - x(v). What is p(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -11. Let v = 15.6 - 15.778. Let l = 0.022 - v. Are l and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12669149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69492?\nAnswer: 2, 3, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259 and 16576.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2121031110 - 2?\nAnswer: 2121031102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*t - 6, 19 = -2*b - 2*t + 7. Let x(w) = 2*w**2 + 11*w + 3. Let d be x(b). Solve 2*n + 1 + d = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -87114, -174226, -261338, -348450, -435562?\n\"Answer: -87112*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/680582 and 59\/77?\nAnswer: 7486402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 61, 58, 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*x = 44*x - 3. Let o(k) = k**2 + 7*k + 3. Let v be o(-3). Let i = 20 + v. Calculate the least common multiple of i and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4)**46*((t**13\/t)\/t)\/t**(2\/7) assuming t is positive.\nAnswer: t**(1363\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -54, -125, -224, -351?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1311001233 - 1?\nAnswer: 1311001232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r. Let b(g) be the third derivative of 14*g**2 + 0*g**4 + 0*g - 1\/20*g**5 + 0 + 0*g**3. What is j(b(m))?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, j: 1, q: 3, n: 4}. What is prob of picking 1 n and 1 q?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**2 - 10*z**2 - 15 + 7*z - z. Let g be t(7). Let o be (-62)\/g + 12\/66. Solve 6*s = o*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.156 and 588.\nAnswer: -91.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 + -147. Let j be (2\/(-6))\/(1 + y\/(-15)). Which is the closest to 4? (a) 4 (b) 0.24 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 8*g**2 - 2*g + 18. Let q be i(8). Suppose 0 = 3*z + 4*w - 124, 2*z - w - q*w = 77. Calculate the remainder when 78 is divided by z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -382 + 387. Solve 0 = g - w + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -168.09 + 167. Let l = -0.59 - h. Let d(u) = -u + 2. Let a be d(8). Put -0.4, a, l in decreasing order.\nAnswer: l, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7 = 4*q, 4*m + 2*q = -5 + 13. Let u(j) = -m + j + 3*j - 26*j**2 + 31*j**2. Let v(a) = 4*a**2 + 3*a. Give 2*u(p) - 3*v(p).\nAnswer: -2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/374652 and -97\/85795308.\nAnswer: 85795308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 13*p**5\/20 + p**3\/3 - 8*p**2 - 114. Let x(g) = 20*g**2 + 1. Determine -3*w(v) + 5*x(v).\nAnswer: -17*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 4*k. Let t be 13\/4 + (-3)\/12. Let o be 103\/2 - t\/6. Let j be o\/9 + (-2)\/3. Calculate l(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 772, 1889, 3424?\nAnswer: 5377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*a - 682 = 1628 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -1)\/(-12 - (-55)\/5) - -2. Solve q + 4*s - 19 = -w*q, 4 = s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184 + -117. What is the remainder when r is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1\/3)\/1)\/((-520)\/(-312)). Which is the closest to 0.08? (a) 1 (b) -1 (c) p (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502027627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t + 8. Let f be o(-1). Sort f, 2, 18 in ascending order.\nAnswer: f, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9))**(-1\/41)\/(k*k**2)**(-1\/24) assuming k is positive.\nAnswer: k**(353\/2952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 111194, 444792, 1000774, 1779128, 2779842?\n\"Answer: -2*a**3 + 111204*a**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-1)*3\/6. Let h(u) = 2*u**2 - 5*u + 3. Is h(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 8.548495\nAnswer: 3.419398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (706\/(-10237) - (-13806)\/(-812))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*l - 2*q + 2475 = -357*l, 2*l + 126 = 4*q for l.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3 - 3 + 0 - g**3 + g**2. Let t = 3 - 9. Let l(x) = -x**3 + x**2 - 5. Calculate t*l(d) + 5*p(d).\nAnswer: d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Calculate the remainder when 0 + 4 + -1 + 24 is divided by 88\/6 + 1\/r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3390 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -30 - 10. Suppose 2*y + 2*y - 2*z + 10 = 0, 0 = -4*y - r*z + 25. Factor -15\/8*t**5 + 51\/8*t**4 - 63\/8*t**3 - 3\/4*t + 33\/8*t**2 + y.\nAnswer: -3*t*(t - 1)**3*(5*t - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5672828*g**4 - 88371 wrt g?\nAnswer: 22691312*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3637 or -3636?\nAnswer: -3636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 23 - 2 = 0. Let p be 57*((a - 1) + 3). Calculate the highest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 0, -2*a - 36 = -6*a - 4*x. Find the second derivative of -3*h**2 + a*h + 9*h - 17*h wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1331022 (base 4) to base 8\nAnswer: -17512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 < 1380\/53647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.455. Let q = -0.055029 - n. Round q to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -17 + 31 + -34 - -60.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7976 is divided by 238.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 0.1 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1620 and 2444588?\nAnswer: 990058140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*v = -16, a + 8 + 24 = -2*v. Is 6 a factor of (-19 - (-3)\/3)*152\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5720 and 78520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**(-9))\/(d*d**(-2\/65)))\/(d**(-2\/15)\/(d**(3\/4)*d)))**(-14) assuming d is positive.\nAnswer: d**(-65051\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1974 and 1134?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380 and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 16*j + 272. Suppose 430*v + 3395 + 2181 = 102*v. What is q(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 263308719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -h + 1, 0 = 2*h - 3*y - 6 - 7. Let i(m) = -4*m + 22. Let x be i(h). Which is the third smallest value? (a) -3\/5 (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3 (b) 0.02 (c) -4 (d) 0.4 (e) -1903\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 105560, 105559, 105558, 105557, 105556, 105555?\n\"Answer: -v + 105561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (20 + -5)) + 111 + -10 - (0 + -1).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/12 - o**3\/6 + 5*o. Let n(g) = g**3 - 6*g**2 + 8*g. Suppose -j - p = -3*j - 4, -j - 3 = -p. Give j*n(f) - 6*m(f).\nAnswer: -f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvdvdvvvvd. What is prob of picking 3 v and 1 d?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21.46211 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4*k + 166 = 0. Let m = k - 36. Suppose 4*o + m - 7 = 0. Which is the biggest value? (a) 0.1 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 100 = -2*s. Suppose -2*x + 68 = 3*g, 6*x + 51 = g + x. Is s less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/9)*r\/((r*r**(-1\/3))\/r))\/(r**0)**6 assuming r is positive.\nAnswer: r**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 + f**2 - 3*f**2. Suppose -v + d + 0 - 6 = 0, d = 5*v + 18. Determine g(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2362804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4540330?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7768 - -7772. Solve 0 = 5*c + x*c + 63 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 21. What is s(28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -387996 and -15131888\/39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 18*x**2 + 31*x + 31. Let m be h(16). Solve m*z = 18*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/105 and -32\/27.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 2*q**2 - 11 - 31 - 12*q.\nAnswer: -2*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 284284 - 27384.\nAnswer: 256900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 1. Let w(a) = -176*a - 10. Calculate w(i(c)).\nAnswer: -176*c - 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 5*m**4\/6 + m**3\/3 + 8*m**2. What are the prime factors of v(5)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -44, -68?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 19?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 29*w**2 - 2. Let n(x) = 2*x**3 + 103*x**2 + x - 7. Let k(u) = 7*l(u) - 2*n(u). Suppose 0 = 4*z - 0*z + 4. Give k(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - 5*v**2 - 5*v**3 - 2*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5841 and 58025?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(77) + (sqrt(77)*-2 - sqrt(77))*6 + sqrt(77) + sqrt(77) + sqrt(77))\/(-1*sqrt(847) - sqrt(847)).\nAnswer: 35*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/279 + -142*(-1)\/(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 1:56 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 0*d + 0*d)*(-d - 5*d + 4*d) + 13*d**4 + 3*d**4 - 34*d**4 + 5*d**4 + 4*d**3 + 2*d**2 - 2*d**4 - 4*d**4 - 3*d**2 + 3*d**4 + 3*d**2.\nAnswer: -18*d**4 + 4*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.742 + -240.942. What is u rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2 + 193716*o + 193712 = 0.\nAnswer: -48428, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.07 - -0.27. Let u = l + 1.7. Let x = 0.7 + u. Sort -3, x, 3 in increasing order.\nAnswer: -3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -134*h**3 + 8*h**2 + 6*h - 1. Let p(w) = w**3 + 3*w**2 - 2*w + 1. Calculate -o(z) - 3*p(z).\nAnswer: 131*z**3 - 17*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-88)\/66*9\/(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 6) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f**3 - 6*f**2 + 5*f - 11. Let q(h) = 2*h**3 + h**2 - h. Let s(l) = -g(l) - 6*q(l). Let z be (1 - 1) + 1 + -1. Give s(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -11*h - 31 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1738.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -189.7 + 190. Let x = 0.38 + 0.12. Let k = x - -0.5. What is the nearest to k in u, -0.6, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12200030 (base 4) to base 7\nAnswer: -140441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 899 - 474. Suppose -454*p = -451*p - 75. Calculate the greatest common divisor of p and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.871608 centimeters in micrometers?\nAnswer: 28716.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 53*j**3 + 100*j**3 - 2*j**2 - 45*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-6) + (-4)\/(-6). Let s(k) = 2*k - y*k + k. Let z(x) = -40820*x**2 + 81979*x**2 - 41181*x**2. What is z(s(o))?\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j**2 + j - 2*j + 1 + 6*j**2. Let t be r(6). Let l = t + 216. What is the remainder when l is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a**2 + 12*a + 1. Let k(s) = 8*s**2 - 13*s - 1. Calculate -6*f(n) - 5*k(n).\nAnswer: 2*n**2 - 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2074 - -677. Let t = -25165\/18 - j. Let r = -15894 - -317977\/20. Calculate the common denominator of t and r.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-384)\/(-27) + 8\/(-36). Suppose 21 = t*s - 13*s. Suppose -8*j + s*j + 572 = 0. Which is smaller: -45 or j?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x - 24*x = -120659 - 167441. What is the highest common factor of 67 and x?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by 145.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**5\/5 + 2*p**4 + 10*p**3\/3 - 4*p**2 - 9*p + 2948. Find q such that s(q) = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i*i\/((i*i\/i**(-4\/7)*i)\/i))\/i)\/(i**4*i))\/(i\/i**0)**(1\/26))**30)**(4\/29) assuming i is positive.\nAnswer: i**(-61260\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 5*b + 11197 = 11172, -2*j = -2*b + 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhjjjuju. What is prob of sequence zu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a. Let g(d) = -49*d**2. What is v(g(l))?\nAnswer: -196*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(4)*3)\/(sqrt(363)*1 + sqrt(363)).\nAnswer: 3*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18308?\nAnswer: 2, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214 + 120 - -94 - (-1 + 28).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 2799 + 16671 = 0. What are the prime factors of d?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 20*y**4 - 37667*y**3 + 163201*y**2 + 510923*y + 310035 = 0?\nAnswer: -5\/4, -1, 33\/5, 1879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -547 times 0.03?\nAnswer: -16.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-19) + 315\/(-285)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -48*w**2 - 71*w - 1. Give l(-2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**4\/12 - 11*v**3\/6 - 70*v**2. Let c be (2 + -3)*(8 + 3). Let b(h) = -h - 4. Give c*b(w) + 4*o(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.615 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 77. Let h = u - 17. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(102)\/(2*sqrt(6)))**2.\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 10 = -4*c - 3, -q = 2*c - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -95, -268, -525, -866?\n\"Answer: -42*k**2 + 37*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 11:57 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**4 - f**3 - f**2 + f + 1. Let o(j) = -4*j**4 + 3*j**3 + 3*j**2 - 3*j - 14. Let z(i) = 3*k(i) + o(i). Find the first derivative of z(p) wrt p.\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 20. Let n be z(5). Suppose -n*q - 63 = -8*q. What is the remainder when q is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + w + 4*w - 12, 0 = -5*w. Solve 2*g - 3*b + 1 = 2, -11 = 5*g - k*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13232240 (base 6) to base 14.\nAnswer: -b6436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5351 - -5351.000015645. Round w to 7 decimal places.\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p - 22*p = -3*p - 240 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6778521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**3\/6 + p. Let g(r) = -7*r - 5*r + 8 + 25*r - 4*r - 5*r. Calculate g(b(a)).\nAnswer: -4*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 9289\nAnswer: 3\/9289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.34 - -0.15. Let u = 0.67 - -4.52. Let m = u + n. Which is the nearest to -1? (a) m (b) 0.3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93397697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1159 + 5*c**2 - 1170 + 2329.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 - -256. Suppose 1650 = i*t - 69*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-6 - -7) + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/35 - (-13)\/5 - 1. Suppose m*f = f + 10. What is the third derivative of -6*j**5 + 4*j**2 + f*j**2 + 29*j**6 + 6*j**5 wrt j?\nAnswer: 3480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -3ee49?\nAnswer: -3ee5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 70. Let w = j - -47. Let z(h) = -12*h**2 - 3*h + 2. Let r be z(w). Round r to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -37. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oywsowososlsxxlxssw. Give prob of sequence xyxo.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(24\/(-45)*(-9)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1 - (-30)\/32). Suppose -12*n = -w*n + 2664. List the prime factors of (1\/(-3))\/(1*(-2)\/n).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-15))\/(7\/(-70)). Let g be (-6)\/t + 1 + 120000002\/(-8). Round g to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times -0.032?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*i + 9, 3*l = i - 6 + 3. Suppose 7 - 22 = -4*b + s, -5*b + 15 = -5*s. Put 2, l, b in decreasing order.\nAnswer: b, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*j - 2605 = -66*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 + -0.05. Let k = -4716 - -4715.8. Which is the closest to p? (a) k (b) 0.3 (c) -1\/2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*g + 27, 0 = -5*u - 0*u + g + 81. Let o be ((-20)\/(-15))\/(2\/(-384)). Let p = 400 + o. What is the highest common divisor of p and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 254069*j - 546198?\nAnswer: 254069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -96. What is the least common multiple of r and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + sqrt(605))*2)**2.\nAnswer: 5632*sqrt(5) + 39744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*t + t. Suppose -z - 164 = -3*f, -t*z + 5*f = 64 + 269. Let u = -100 - z. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 2 + 2 + ((-1 + 2 + 0)*(6 - 1 - 3) - 2 + 3 - 2)*(-3*n + 14*n - 3*n) to j*n + u and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2620 and (-1572)\/15*((-49 - -22) + 22).\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.25 - 0.25. Suppose -4*t - q = 14 - 7, 2*q + 9 = -3*t. Are p and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -2*c**4\/3 - c**3\/6 + c**2\/2 + c. Let g(h) = -45*h - 404. Let n be g(-9). Calculate u(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1895*y**3 + 16 + 29 - 62 + 31 - 1893*y**3 + 11.\nAnswer: 2*y**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3255*t - 569754. Give v(175).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.16 and 63807068?\nAnswer: 63807068.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -3*u**5\/20 - u**4\/12 + u**3\/6 - 3*u**2 - u. Let o = -15565 + 15564. Let c(x) = x**3 + 1. What is o*g(b) - 6*c(b)?\nAnswer: -3*b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, -12, -100, -212, -342?\n\"Answer: y**3 - 21*y**2 - 2*y + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 72624 - 5*p + 72624.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - m + 1. Let c(g) = -4*g**3 - 2*g**2 + g + 8. Give -c(y) + n(y).\nAnswer: 2*y**3 + 2*y**2 - 2*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -3 (c) -15 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/6)\/1 - 1. Let m = -87 - -85. Is n > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.72*4\nAnswer: -86.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(308)*2 - sqrt(308)) + sqrt(308)))\/(sqrt(42)\/(sqrt(18)\/sqrt(3))) + 4 + 0 + sqrt(1584) + 2.\nAnswer: 6 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1702b + 0?\nAnswer: -1702b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57219, 57329, 57463, 57627, 57827?\n\"Answer: i**3 + 6*i**2 + 85*i + 57127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 20. Let j be k(-18). Let l(o) = -4*o + 4*o - 54*o**j + o**3 - 6 + 61*o**2 + 3*o. Let d be 1 + 1 + -8 + 0. Give l(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - 0) + (12 - (22 - 4) - -9)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297) - -1*sqrt(297))\/((sqrt(384) + sqrt(24))\/sqrt(8))*6.\nAnswer: 36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.10789693 from 14504046.\nAnswer: 14504045.89210307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) 0.034 (c) -3 (d) -4\/9 (e) 460\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 4*x. Let p be n(-3). Suppose -4*f + c = f - 8, -p = c. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -290, -289, -280, -257, -214?\n\"Answer: w**3 - 2*w**2 - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dggds. What is prob of sequence dd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -67381*267\nAnswer: -17990727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 2. Suppose 0 = -4*j - 4*m - 12, -4*m = 4*j - 3*m + 3. Let v = j + 14. Calculate the remainder when v is divided by p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3393.173 millilitres to litres.\nAnswer: 3.393173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1 in ascending order.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.9 and 2379.\nAnswer: -28310.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 61*j + 1\/30*j**5 - 71\/120*j**6 - 2*j**2 + 1\/24*j**4 + 0 + 0*j**3. Find the third derivative of g(p) wrt p.\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 426 (b) 0.08 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 7836 + -7831. Let c(m) = -5*m + 4. Let i(r) = -6*r + 3. Give y*c(k) - 4*i(k).\nAnswer: -k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169458621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 10:38 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/5)\/((-4)\/(-10)). Suppose b - g = 22. 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: Evaluate (10\/(-2))\/((-9020)\/328).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146597*n**4 + n**3 - n**2 + 300*n - 364?\nAnswer: -3518328*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*t + 344 = 0. Suppose -2*a = 2*c + 142, 2*a - 148 = 2*c - 2*a. Let p = t + c. Which is bigger: 73\/5 or p?\nAnswer: 73\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i - 5*i**2 + 5*i**2 - 4*i**2 - 2 + 3*i**2. Let j be g(-3). Suppose 2*z + j = 28. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.834958958 rounded to 1 decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxwwxxwwwwxx. What is prob of sequence xwx?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*h + 3*h**2 - 12*h)*((-4 + 4 + 6)*(1 - 2 - 2) + (-3 + 0 + 6)*(2 - 1 + 1)) in the form n*h + c + o*h**2 and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**13*b*b)\/(b*b*b*b**(-2\/9)))\/(b**(3\/2)\/(b\/(b\/(b\/b**1)*b))) assuming b is positive.\nAnswer: b**(175\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108109?\nAnswer: 108109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -14. Suppose -r = -5*n - 3*g, n + 4 - 25 = 5*g. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-4)*g))\/(g*g*g**(-2)))\/((g\/g**(-5))\/g**(-2\/7)) assuming g is positive.\nAnswer: g**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(320) + sqrt(320) + -4 - (sqrt(320) + -1 + 4 - sqrt(320))) + 1 - (-5*(-1 + sqrt(320)) - (1 + sqrt(320) + 3)))**2.\nAnswer: -1024*sqrt(5) + 20544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.6 - -18. Let g = 1\/49 - 109\/539. Which is the second biggest value? (a) g (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -7, 7, 4, -0.9 in ascending order.\nAnswer: -7, -0.9, -2\/11, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 5*y - 90 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(5 + 30 - 9)*(-4 + 2*t + 4).\nAnswer: -104*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/11)*k*k**(-21)*(k\/(k*k\/(k*k**13*k*k)))**(-1) assuming k is positive.\nAnswer: k**(-382\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/7)*j**19*j*j*j**(-10)*j*j*j**(1\/12))**(-50) assuming j is positive.\nAnswer: j**(-28975\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**2 + 19*h + 27. List the prime factors of z(7).\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + 8. Let j(m) = -10*m + 23. Let f(h) = 2*j(h) - 7*y(h). Suppose 0 = -51*i + 15*i + 13*i. Let o be f(i). Round o to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387 or -424?\nAnswer: -424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -16, -38, -68, -106, -152?\n\"Answer: -4*t**2 - 2*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j**3 + 3*j**2 + 2*j + 3. Let p be f(3). Let a = -80 - p. List the prime factors of a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*g**5 + 5*g**3 - 325*g**2 wrt g.\nAnswer: -600*g**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11287198 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-777)\/(-31) - ((-150)\/(-403) + (-464)\/1508)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 737 = -661. Let y be o\/((-95)\/(-30)) + -4. Factor -2\/3 + 4\/3*i**3 + 0*i**y + 2\/3*i**4 - 4\/3*i.\nAnswer: 2*(i - 1)*(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 421957*a - 473932?\nAnswer: 421957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, t: 1, b: 2, p: 3, g: 2, i: 2}. Give prob of picking 1 t, 1 z, 1 g, and 1 b.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -705661 - -705660.700189. Let l = z - -0.3. Round l to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169 + -156 + (-37 - -6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-25)*20\/6. Let p = 27 + -19. Is p less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 2*i + 3. Let m be a(3). Let o(z) be the first derivative of m*z**2 + 1 + 0*z**3 + z - 1\/4*z**4. What is the first derivative of o(k) wrt k?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.84 - -31.84. Which is the closest to x? (a) 2 (b) 33 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g + g)*(2 + 4*g**2 - 2 + (g + 0*g + g)*(g - 2*g + 2*g) - 3*g - g**2 + 3*g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-36)\/(-15) + -3)*(2 + (-3 - 4))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 3*o**2 + o**2)*(-2 + 4 + 2) + (-o + 0*o - 4*o)*(2*o - 2 + 2).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -606439, -2425738, -5457897, -9702916?\n\"Answer: -606430*r**2 - 9*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -143 + -5.298445924623\nAnswer: -148.298445924623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27827019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-15)*q*q*q\/((q\/q**(-14))\/q)*q**(-5\/4)*q*q*(((((q\/(q**(-1)\/q))\/q)\/q)\/q*q)\/q)\/q*q*q assuming q is positive.\nAnswer: q**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83578 * -0.3.\nAnswer: -25073.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o*u**3 - o*u**2 - 65419*o*u - 489*u**3 + 25*u**2 + 2 wrt u?\nAnswer: 12*o*u - 2*o - 2934*u + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2529 = -4983. Let u = f - 785. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**3 - 693*n + 1381*n - 3*n**4 + 7*n**2 - 41*n**4 - 692*n to o*n**3 + y*n**2 + c*n**4 + q + i*n and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3936060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -59. Let m be (-2 - -4)*15341\/(-58). Let n = m - -533. What is the highest common divisor of t and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, v: 2, e: 3, c: 3}. Give prob of sequence ceve.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w - 2. Let l(c) = 19*c - 5. Let g = -512 + 514. Determine g*l(z) - 5*k(z).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 4. Let u be i(-8). Let o = 5 - u. Calculate the remainder when 18 is divided by (1\/(-2))\/(o\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -509 - -874. Let j = 979 - u. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 7*a**2 - 6*a + 10. Let t be m(7). Let d = 71 + -17. Let w = t + d. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + -7 + (8 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + sqrt(96) + sqrt(96) + -1*sqrt(96))\/(-1*sqrt(288)) + -1.\nAnswer: -2*sqrt(3)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from xybbbxoyybybyoxbbbx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kee when three letters picked without replacement from {e: 4, k: 6, v: 1, b: 7, a: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 12 = -u - 3*v, 3*v + 3 = u. Suppose 3*b = -i + 83, u*i + 2*b - 259 = 3*b. Suppose 3*y - 295 - i = 0. What is y rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3567740.3 to the nearest 1000.\nAnswer: 3568000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*c - 839*i + 835*i, 0 = -4*c - 88*i - 112 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41707 + 41697. Sort -5, 28, c, -4, 1 in descending order.\nAnswer: 28, 1, -4, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1237685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.364 + 0.354. Sort w, 1, -9 in ascending order.\nAnswer: -9, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3 + 5. Is y at least -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2774 + -1578. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -5*l**3\/6 + 29*l**2\/2 + 3*l. Let g be p(4). Calculate the highest common divisor of g and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - m + 4*m)*(-m + 3*m - 3*m) + 5670758*m**2 + 3*m - 12 - 5665915*m**2 + 12.\nAnswer: 4844*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}