diff --git "a/data/dm_maths/full_data_1/118_11255.jsonl" "b/data/dm_maths/full_data_1/118_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/118_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Differentiate -26*d**3*k*o + 560*d**2*k*o + d*k - 27*k*o - 22*k + o wrt d.\nAnswer: -78*d**2*k*o + 1120*d*k*o + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 107, 72?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119 - -46. Let w = 166.97 - i. Let z = -2.133 + w. Round z to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from ttfqtttftfqqqcctfq.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -384.000003785 + 384. What is q rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 6639*j - 3746*j + 10 + 966*j to a*j + c and give a.\nAnswer: -9419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302\/17155 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 120, 119, 118?\n\"Answer: -d + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26603.1 from 58.7.\nAnswer: -26544.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 14 + 3*o + 0 - 3 + 0*o. Let h(j) = j**2. Calculate q(h(g)).\nAnswer: 5*g**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635*x**3 - 485728 + 485728.\nAnswer: -635*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*a + 37*a - 12416 = 29*a - 14576 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*f + 153*f - 32*f. Suppose 4*d - 68 = -4*m, -3*d = 5*m - 6 - 37. Suppose f = -d*b + 3877 + 1583. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 460 and 184?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**4\/4 - 2*k**3 + 2*k**2 + 7*k + 1. Let q be w(5). Suppose -6*i + q*i - 4*y = -124, -i = -y - 33. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -2*o + 3*v + 2*v, 3*v = 9. Let z be (o\/(-7) - 7)*(1 + -2). What is d in 0 + 0*d - 25\/2*d**5 - z*d**4 + 5*d**2 + 25\/2*d**3 = 0?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51051421 (base 6) to base 10\nAnswer: -1453189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 69*l - 70*l. Suppose 0 = -l*z - 1908 + 6150. Let y = z - 165. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 + 1419. Let k = 1230.000557 - w. What is k rounded to five decimal places?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 758.1444 milliseconds to nanoseconds.\nAnswer: 758144400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u. Let j(s) = 2*s**2 - 2*s - 1731. Calculate c(j(i)).\nAnswer: 4*i**2 - 4*i - 3462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n**2. Let d(z) = 6*z + z + 2*z - 7*z. Calculate s(d(w)).\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 87.37698 minutes?\nAnswer: 5242618.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*u**3)*(3 + 0 - 1) - 2 + 2 - 2*u**3 + 302*u**3 + 121*u**3 + 127*u**3 as q*u**3 + j + c*u**2 + w*u and give q.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.668 + -0.268. What is the biggest value in -0.6, r, 0.2, -2\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4) + 10\/8. Let v be i\/6 - 6\/18. Which is the nearest to v? (a) 2\/3 (b) 1 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 5*f**2 + 3*f - 3. Let w(j) = j**3 + 4*j**2 - 2*j + 2. Calculate -3*u(h) - 4*w(h).\nAnswer: 2*h**3 - h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37977407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - 134aa50?\nAnswer: -134aa38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*o**2*w**3 + 19*o**2*w + 4*o*w**3 - 2*o*w**2 + 89*w**3 wrt o?\nAnswer: 64*w**3 + 38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1145 is divided by 81.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**2\/2 + 14*g - 5. Calculate the smallest common multiple of 22 and k(0).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-41)\/14*((-6318)\/156 - -37).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 25 = 4*l + 3*x, -14*x - 26 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1633*t**2 + 1039*t**2 - 395*t**2 + t**2 - 2*t**2 + 0*t**2 - 3*t**2 + 3*t**2 + 2*t**2 + (4*t - 2*t - t)*(4 - t - 4) + 0 + 0 - 2*t**2.\nAnswer: 2275*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2201220?\nAnswer: 2201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzxz when four letters picked without replacement from zzzxzzzzzx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 7440?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 311, 612, 895, 1154, 1383, 1576?\n\"Answer: -z**3 - 3*z**2 + 317*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-28)\/a))**(-11\/9)*a\/(a*a*(a**(3\/35)\/a)\/a*a)*a**(18\/7) assuming a is positive.\nAnswer: a**(-3589\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1632*l - 3. Let w(y) = 3*y**2. Give w(d(p)).\nAnswer: 7990272*p**2 - 29376*p + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(2\/5)*z\/z**5*z\/(z**3\/z) assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -18*g - 2. Let w be d(-2). Let a = w + -27. Find the second derivative of 98 + a*b - 98 + b**2 wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1744734544 + 1744734544 + 39*q.\nAnswer: 39*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 0*z + 16. Suppose -7 = -v - 2*q + 3, v - z = q. Suppose 0 = c - 4 - v. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 15*m + 31. What is r(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2673 + 2880. Calculate the remainder when 833 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4*m + 103 = 0, 49*k + 354 = -34*k + 68*k + 3*m for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 88*(-13)\/(-52)*(99\/108)\/11\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4660022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/4 + 58\/16 + (-35)\/10.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 5*i - 9 + 4 = 0, 5*i + 5 = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psiptthpptp. Give prob of picking 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 14 - 2*r**2 + 10*r**2 - 14.\nAnswer: 8*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 + -104. Calculate the highest common divisor of t and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 - 64. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 5, 302 in increasing order.\nAnswer: -1, 2, 5, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z - 9. Let a be (1 - 0)\/(80\/88 - 1). Let b(d) = -d**2 - 14*d - 23. Let u be b(a). Solve u = -8*k + z*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - -0.1. Let p = 1.2 + -0.2. Let h = 6670 + -6665. Which is the closest to p? (a) r (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*u**2 + 4156380*u - 1187540.\nAnswer: 5*(u + 118754)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 - -107. Let w(f) = f + 18. Let k be w(-8). Solve -c*m + k = 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 5. Let g be l(11). Suppose 8 = -2*i, p - 5*i - g = -3*i. What is the smallest common multiple of 18 and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -245790, -491587, -737418, -983301, -1229254, -1475295, -1721442?\n\"Answer: -3*d**3 + d**2 - 245779*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = 5*q - 10*a, 2*q + 5*a + 458 = 483 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -5*i - 34, -9*o + 3*i + 9 = -7*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**3 + o. Let z be t(-2). Let l = z - 36. Suppose 0 = 3*m - 2*m - l. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 3*b**2 - b. Let d(t) = 2*t - 10. Let y be d(7). What are the prime factors of u(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-242)\/(-1) - 1 - 0. Let y be (-249)\/2 - (-1 - 4)\/10. Let f = y + s. Is f a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5220568?\nAnswer: 2, 547, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + g = -13, -5431*g + 12 = -2*y - 5422*g. Let m = 3 - 2. Suppose 4*k - 5*z - m - 9 = 0, 0 = 4*k + 2*z - 24. Solve -4*w - k = y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 0*l + 6 - l - 3. Let p(k) be the third derivative of -k**4\/8 + 3*k**3\/2 + 220*k**2. What is 17*d(s) - 6*p(s)?\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 2\/87 (c) 2\/43 (d) 0.1776 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -4 - 6) + 2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 21847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 10:10 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 0, 4*p - t + 48 = -92. Let j be (-30)\/p*7*1. Suppose d = -0*d + 2*f + 4, 3*f = 4*d - j. Which is smaller: -2\/7 or d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 184. Suppose 0 = 7*i - 8*i + 5. Suppose i*h = o + 2. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2 and 20\/6014761.\nAnswer: 12029522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 34*n + 5983. Give v(-96).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i + 5*z = -9, 4 = 3*i + 2*z. Suppose -5*k + 28 = h, 5*h = i*h - 5*k + 34. Suppose -2*y = -2, h*y - 1 + 82 = m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/767 or 1?\nAnswer: 4\/767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 divided by 36?\nAnswer: 391\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30664102*b**3*x**3 - 22*b**3 + 442980*b*x**2 wrt x.\nAnswer: -183984612*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/45*((-16464)\/2548)\/28.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*(sqrt(35)\/sqrt(5))**2 + (sqrt(7) - sqrt(847)*2) + 5 + -5 + sqrt(7)*2 + 0 + 5).\nAnswer: -72 + 114*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 6*v**5\/11 + 17016*v**4\/11 + 16998*v**3\/11 - 34020*v**2\/11 = 0.\nAnswer: -2835, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 6*v + 932. Let n = v + 201. What is the greatest common factor of 224 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v - 32. Give k(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 41485.26 to the nearest 10.\nAnswer: 41490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d**2 + 160*d - 568. Determine j(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 163 = -4*g + 277, 3*q + 430 = 4*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*a - 2694 - 7336 = 31*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = j - 5, 8*x - 215 = 5*j - 222 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106.35 - -108. Let w = g + -0.94. What is the smallest value in -1, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 74 = -3*h, 0*u + u = 2*h - 49. Let q = 75 + -179. Let f be (-296)\/q - (-2)\/13. What is the greatest common factor of h and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = g, -5*g - 30 = i - 3*i. Let o(v) = -4*v**2 - 1 + 3*v**2 - 3 - v - v**3. Determine o(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150\/11*q**3 + 0 + 144\/11*q**2 + 38\/11*q**4 + 8\/11*q.\nAnswer: 2*q*(q - 2)**2*(19*q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2 - -7) + -12 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184392 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*b + 4 = 0, -3*b = 2*j - 3 + 13. Sort j, -5, -3 in ascending order.\nAnswer: -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k**3 - 38*k**2 + 9*k - 11. Let t(l) = -3*l**3 - 20*l**2 + 5*l - 6. Give -5*s(u) + 9*t(u).\nAnswer: 8*u**3 + 10*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14850930 and 19560?\nAnswer: 59403720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*u**2 + 45*u**2 - 48*u**2 - 98*u**2.\nAnswer: -271*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -69955 - -2?\nAnswer: -69953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:00 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 19*y**3 - y**2 - 22*y - 2. Let s(k) = 18*k**3 - 2*k**2 - 24*k - 3. Determine 3*r(i) - 2*s(i).\nAnswer: 21*i**3 + i**2 - 18*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.06 (c) 0.015 (d) -2 (e) 0.03 (f) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 - s + 1. Let v(m) = 5*m - 2 + 1 + 5 - 3*m. Let n be v(-3). Calculate j(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b + 2. Let h be k(0). Solve 5*a = 3*q + 25, 0*a - 14 = -h*a + 2*q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 + 195. Put -19, -5, v in ascending order.\nAnswer: -19, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42 and -5223562959.27?\nAnswer: 5223563001.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 15 - 43)*(-c**3 - 2*c**3 + 0*c**3).\nAnswer: 105*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/569882, 4 in decreasing order.\nAnswer: 4, 0.4, -1\/569882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-17664)\/(-288)*27\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57345946, 57345945, 57345944?\nAnswer: 57345943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -475, -954, -1435, -1918?\nAnswer: -2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -46 - -39 - (-11 + 4 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -7. Let q(n) = -9*n + 9*n + 14*n + t*n + 5. Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34745 > 34309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*m**3 - 85*m**2 + 1137*m wrt m.\nAnswer: -42*m - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 2*q + 14. Determine p(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 5:00 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/96 and -65\/72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) - -2*(sqrt(119)*2 - sqrt(119)) - sqrt(119))*4*-6)\/((1*sqrt(63)*-2 - sqrt(63))\/(1*sqrt(900))))**2.\nAnswer: 435200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -4, -6\/19, -38, 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(9)*-3)\/sqrt(3))**2*-1.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29483 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45, -56, -75, -102?\n\"Answer: -4*i**2 + i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/60 + d**4\/24 + d**3\/6 + d**2. Let p be l(0). Let r = -8 - -5. Which is the smallest value? (a) -2 (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 489499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 4 (b) -1\/3 (c) -0.05 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {v: 1, p: 1, i: 1, e: 1, l: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 119a60 + -1?\nAnswer: 119a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*q**3*r**3 + 4*q**3*y**3 + 331*q**2*r*y**2 + 3*r**3*y**3 - 42*r*y**2 - 852544*y**3 wrt y.\nAnswer: 24*q**3 + 18*r**3 - 5115264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v - 5. Let q(s) = -18*s - 11. Let n(t) = 9*a(t) - 4*q(t). Let c(r) = -40*r - 8. Let d be c(-7). Let l = -273 + d. What is n(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126.43 - -1.57. Let g = c - 132.05. Let w = g - -0.05. What is the biggest value in 0, 2\/11, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 27. Let j be 108\/(-238) - (-16)\/28. Let p = -26.8 + 27. What is the third biggest value in -2, j, p, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 396514 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 28949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010241022 (base 5) in base 12?\nAnswer: -1ba9243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -176947*k**4*q + 2*k**4 + 2*k**3*q + 178528*k**2 + 23*q wrt k?\nAnswer: -4246728*k*q + 48*k + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 10696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:01 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 8 - 5 - 22*j in the form w + v*j and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67267.33 millilitres in litres?\nAnswer: 67.26733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*x - 98. Let n = 15232 - 15199. Which is smaller: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*u - 4660 + 8626 = 457*u - 14678 for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -185, -22, -4, -5, 89, 5 in ascending order.\nAnswer: -185, -22, -5, -4, 5, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 476370 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 8 + (-1 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-90))\/((-5)\/25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3765129.\nAnswer: 3, 83, 15121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a factor of 3469266792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/8 and 39\/297718.\nAnswer: 1190872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -10*t + 15. Suppose -3*v = -8*v - 60. Is 15 a factor of s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/7 (b) 2\/13 (c) -3\/5 (d) 0.5 (e) -26131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c - 95. Let u be r(-47). Let s(f) = -17 - 2*f**2 + 2*f + 18 + 5*f**2. Let j be s(u). Solve 0 = 5*l - 2*o - 19, l = -j*l + 4*o + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 6*x**2 - 4*x - 4. Let q be a(-4). What is the tens digit of q\/(-1) + 3 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -5*k - 25*k. Solve 5*y = -m + k, 4*y = 2*y + 2*m - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p - 7. What is n(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9451435 and 1405.\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 0*p - 24 + 0*p**2 - 2\/3*p**3. Let t(u) = 5*u. What is t(v(l))?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -99633 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10196, 20231, 30254, 40265?\n\"Answer: -6*j**2 + 10053*j + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3\/7 + 214542*u**2\/7 - 4503921*u\/7 - 9866034\/7 = 0.\nAnswer: -2, 23, 71493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a**3*r**3 - 9*a**3*r - 2*a**3 - 761*a**2*r**3 + 195*a**2*r - 13*r**2 - r wrt r?\nAnswer: 66*a**3 - 4566*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 0. Let u = s - -9. Let h = 48\/13 + -406\/117. Sort h, -0.5, u in ascending order.\nAnswer: -0.5, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwvw when four letters picked without replacement from {w: 2, v: 4, h: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15914680.\nAnswer: 2, 5, 397867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77913813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 19101140 to the nearest 10000.\nAnswer: 19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321056 (base 7) to base 8.\nAnswer: 154467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/7, -15, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5294 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3420 = -3*x - 3439, 20 = -4*a. Solve x*n - 9*m + 14 = -13*m, 2*n = -m - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + -5 + (-20 - (-16 - 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/8*(-2)\/1. Suppose 4*y = -4*u + 2*y + 30, 0 = g*u + 5*y - 21. Suppose 5*x - 16 = u. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 236, 248, 264, 284, 308, 336, 368?\n\"Answer: 2*i**2 + 6*i + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*w - 11, 0 = 2*v - 4*w + 11 + 7. Let g be (-16)\/24*v\/62. Let u = -79\/1302 + g. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*x + 30600, 20*w - 5*x - 22943 = 17*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022 - -120220?\nAnswer: 200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 - -6) + 95\/57\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v\/v**0)\/v)**16*v**(-6)\/(v**(-4)*v) assuming v is positive.\nAnswer: v**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*c**2 + 15*c**2 + 9 - c**3 - 8 to the form g*c**3 + l*c + s + m*c**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104786*r**2 - 104776*r**2 + 4 - 4.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207*m**2 - 78*m**2 - 20*m + 20*m to j*m + x + w*m**2 and give w.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -80 + 40. Let o(q) = -33*q + 13. What are the prime factors of o(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -133 + 127. Let d be (8\/(-12))\/(10\/n). Suppose 0 - d*j + 2\/5*j**2 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7)\/(r\/r**0))**(-4\/7) assuming r is positive.\nAnswer: r**(24\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136390 and 95473.\nAnswer: 954730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by -86\nAnswer: 57\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 0*10\/(-110) + 1394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*c + 5, -4*c + 7 = m - 2*c. Let t be 576\/1232 - m*4\/(-42). Sort t, -5, -0.2.\nAnswer: -5, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/((-230384)\/(-1386)))\/((-1)\/(-11)) + 124\/(-13)?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -5. Suppose i - j = 4*i. List the prime factors of (1\/4)\/(i\/(-348)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {t: 3, i: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011010101011 - 11101110?\nAnswer: 100010110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 17.05548?\nAnswer: -6.822192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30\/19 + -134\/133. Let s = 4.5 + -5. Let g = -4 - -7. Which is the third biggest value? (a) u (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, n: 4, z: 6}. What is prob of picking 3 z?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089323?\nAnswer: 757, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2. Let p(z) = -5*z**2. What is i(p(n))?\nAnswer: 125*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 4*v + 19. List the prime factors of y(-5).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(84)\/(sqrt(60)\/sqrt(5)) - sqrt(7)) + sqrt(7)))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/572 and -69\/494?\nAnswer: 10868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 14*d + 43. Let g be r(10). Let m(h) = 2*h**3 - 5*h**2 + 1. Let z(c) = 4*c**3 - 10*c**2 - c + 1. Let l(f) = 5*m(f) - 2*z(f). Calculate l(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/1492 and -15\/256.\nAnswer: 95488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33125 and 2056400.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21*-0.11\nAnswer: 2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 1. Let x(p) = 903*p**2 + 105. What is 735*l(n) + 7*x(n)?\nAnswer: 7791*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.00621674 - 0.0062. Round l to 7 decimal places.\nAnswer: 0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 4:34 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14013 - -448369\/32. What is the common denominator of 142\/144 + 3\/9 and z?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**5\/60 + t**4\/6 + t**3\/3 - 7*t**2\/2 - 4. Let l(x) be the second derivative of u(x). Give l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4\/7 - 3*t**3\/7 + 3*t**2\/7 + 3*t\/7 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(((-38)\/(-152))\/((-3)\/4)). Let g(i) = -489*i + 118. List the prime factors of g(m).\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -70. Let l = 3 - -1. Let t = 6 - l. Which is the third biggest value? (a) t (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*h + r = -3, 3*r = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/39790060 and 133\/11937018.\nAnswer: 119370180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -36*z + 21*z. Calculate the highest common divisor of 861 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*1 - (-23)\/1 is divided by (1 - (-2)\/(-3))\/((4 - 20)\/(-288))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 104577*r + 2614427. Determine y(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhl when three letters picked without replacement from {f: 1, h: 6, z: 1, n: 1, l: 5}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 12421433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5*l + 10 = 0, 6*a = 4*a + 2*l + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/(-10)*(536 - 539).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 43 - 139 - -99 - -87\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 13*i + 24. Let y(p) = 0*p + 14*p**2 - 1 - p + 2. Calculate the lowest common multiple of y(1) and z(14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -q + 4*a, 171699*q - 171697*q + 2 = a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 5. Let p be w(0). Suppose 32*f = 27*f + 40. Let r = f - 1. Solve -p*s + 2*o = 22, -r*s - 3*o = -2*s + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3445\/6 - -574. Which is greater: -6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 1. Let x = 56 - 18. Let t = g + x. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -132, -279, -470, -699, -960?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.33 + 2.83. What is the nearest to 0.6 in -0.4, 1\/4, u, -6\/13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*w + 13*w - 28*w + 1)*(19 - 3*w - 35 + 17).\nAnswer: 9*w**2 - 6*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3848582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 610 and 2318?\nAnswer: 11590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**5\/40 - 7*i**4\/24 + i**3\/6 - i. Let u(h) be the second derivative of x(h). Let n = -13 - -8. Calculate u(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-25)*d)\/d**(-3)*d*d**21*d\/(d\/d**15*d)*d assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23132110 (base 4) in base 7?\nAnswer: -254005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2*v + 32 = -3*q, 668*q - 669*q - 5*v = 1 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4136603907.\nAnswer: 3, 9343, 147583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 4.5, 5, -3.\nAnswer: -3, 4.5, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((-15)\/((-195)\/26))*(-5)\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 243?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + -7 + (-3)\/1. Let y(j) = -7*j**2 + 4*j - 8. Let g(l) = -5*l + 1. Let i be g(-1). Let k(b) = -6*b**2 + 3*b - 7. Give i*k(q) + p*y(q).\nAnswer: -q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23167.527 months to decades.\nAnswer: 193.062725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89176740 is divided by 795.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679 equal to 1674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00991027508 to four dps.\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 2*o + o)*(-16 - 663 - 2112 - 642 - 910) as j*o + g and give j.\nAnswer: -4343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 9, -23, -30\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*z - 138 + 130 - 17*z wrt z.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 1, f: 1, j: 1, w: 1, i: 2}. What is prob of picking 1 f and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a\/a**14)\/a)*a*a**11*a*(a\/(a**(1\/6)\/a*a)*a)\/a*a\/(a\/(a**(-3\/13)*a)) assuming a is positive.\nAnswer: a**(2309\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24228 and 21215652.\nAnswer: 63646956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 10 = 2*q, -2*q = -3*t - 3*q + 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 363. Let i(s) = -25*s. Give u(i(x)).\nAnswer: -100*x + 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 8*r**2 + 22*r + 62. Suppose -20 = 6*n + 40. Calculate the smallest common multiple of 84 and j(n).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 6*p**3 + 4*p**2 + 2*p**2.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020325104?\nAnswer: 2, 3, 211, 33581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l + 2*l + (16 - 2*l - 5 - 6)*(3 + 1 - 5).\nAnswer: 4*l - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 835764 (base 9) in base 10?\nAnswer: 496345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.263*44\nAnswer: -11.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 339*d**3 + 5*d**2 - 3*d + 11. Let g be p(-7). What is g rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 461092 - 461092.780174. Let m = 4398 + -4397.22. Let y = a + m. What is y rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/6 - 11 - (-5)\/(-6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 49713 = 328543. List the prime factors of s.\nAnswer: 47, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-4)\/(13 - 1). Suppose x*a - 66 = -2*a. Let t = a - 20. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = l + 6. Let p(c) = 4*c**l - 13*c**2 + 5*c**2 + 6*c**2. Let x(y) be the second derivative of -y**4 + y. What is x(p(z))?\nAnswer: -48*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1463*x**5 - 2418*x wrt x?\nAnswer: 29260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -3.116.\nAnswer: -2.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 63*w**2 - 21*w - 42. Let i be s(-2). Let a = -13103\/52 + i. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3. Let b(q) = -3*q**3 + 3*q**3 + 2*q**3. Let l(d) = d**2 + 10*d + 6. Let k be l(-9). Calculate k*r(a) + 4*b(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15181194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 191703 or -2?\nAnswer: 191703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 3*j**2 + 4. Suppose 0*a - 39*a = -429. Let l(h) = 5*h**3 - 8*h**2 + 11. Calculate a*n(x) - 4*l(x).\nAnswer: 2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1754, -1780, -1818, -1868, -1930, -2004?\n\"Answer: -6*h**2 - 8*h - 1740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Is (8\/(-1) - j)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 3179.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 7:08 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/5 - 3\/(-1). Suppose -5*s + 10*s - 215 = g. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 973 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 45513, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -1)*14\/(-63)*12 - 3. Factor -4\/3*d**2 + 4\/3*d**4 - 2\/3*d**a + 0 + 2\/3*d + 0*d**3.\nAnswer: -2*d*(d - 1)**3*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 18890.\nAnswer: -755.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 544328 smaller than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 38 and -1579003?\nAnswer: 1579041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -28. Let i(d) be the first derivative of d**4 - 5*d + 2. Let u(h) = 2*h**3 - 2. Calculate x*i(r) - 5*u(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5355 + -5355.168. What is the second biggest value in 0, 0.2, i, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2. Let j(s) = -1420*s - 2. Give x(j(h)).\nAnswer: 4032800*h**2 + 11360*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 337 - -2100. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 + -186. Let t(g) = -5*g. Let i be t(-1). Solve -i*c - 7 = -u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(1*sqrt(528))\/sqrt(11) - (sqrt(432) - sqrt(432)*-1*-4)\/(sqrt(144) - -1*sqrt(144) - sqrt(144)).\nAnswer: -21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*t - 2 - 107*t - 125*t + 2.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951547849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17daa (base 16) to base 15.\nAnswer: -1de3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + 5 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2334\/83759?\nAnswer: -2334\/83759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7343 + 2?\nAnswer: 7345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*-5*-6)**2 + -2)*-3 + 3.\nAnswer: -51291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415369 is divided by 83034?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkknkkcknchibnbk. What is prob of sequence nin?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8388, -8382, -8372, -8358?\n\"Answer: 2*g**2 - 8390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -421.\nAnswer: -1263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 33*a + 332. What is t(9)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 103*m - 28 + 28 - 104*m. Let n(i) be the first derivative of -i**2 + i - 1. Give k(p) + n(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6638\/5 + 1328. Which is the smallest value? (a) -0.02 (b) -1\/15 (c) -3\/7 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149 - -213. What is the greatest common divisor of 64 and d?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiciiiiiiiiciiciicii. Give prob of sequence cc.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -7482.\nAnswer: 1\/2494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1396396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4\/11, 2, -14, 1\/10, -0.02, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2024034 + 10?\nAnswer: -2024024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by (-12)\/10*(-11)\/((-66)\/(-800)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7365, -29472, -66317, -117900, -184221, -265280?\nAnswer: -361077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 20. Suppose -2*o = -p + o + 188, 5*p = -o + 924. Suppose 3*u + 83 = -2*c + 282, j*u = 5*c + p. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(96)\/(sqrt(4)*1))\/sqrt(8)*1 + -5 + sqrt(12)\/(sqrt(28)\/sqrt(112))).\nAnswer: -15 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-8))\/((-105)\/(-4200))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 46, 167, 4 in decreasing order.\nAnswer: 167, 46, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04442*1.2.\nAnswer: 0.053304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -101*s**2 - 26361*s + 711. Determine r(-261).\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, 0, 79, -2, -6, 20 in descending order.\nAnswer: 79, 20, 3, 0, -2, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 2, -1, 4, 5, 114 in increasing order.\nAnswer: -48, -1, 2, 4, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 1\/4 (b) 2 (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from qqsqqqqqssgsq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 635964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - (-1 + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -25 - (12 - 9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = -2*x + b, 3*x - b - 6 = 0. Suppose -4*a + h + h = -x, a + 1 = -h. Which is greater: -1\/23 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/9724 and 109\/130?\nAnswer: 48620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2867866 is divided by 1476.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 231080465 to the power of 1\/2, to the nearest integer?\nAnswer: 15201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n + 0 + 1\/6*n**3 + 0*n**2. Let h(d) = -33*d + 69*d - 18*d. What is h(f(v))?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12567 or -12566?\nAnswer: -12567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3.67, 0.2, 1, 120, -2?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6198117.\nAnswer: 3, 569, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 214701*y**3 - 3841483965*y**2 + 3841269267*y.\nAnswer: -3*y*(y - 35783)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**3*l*l*l**(-1\/6)*(l\/l**(-1))**(-45) assuming l is positive.\nAnswer: l**(-541\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -75 + 0 + (17848\/460 + -38)\/((-4)\/(-45))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69922 and 0.3.\nAnswer: -20976.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60.2 - -59.941. Let v = -0.033 + x. What is v rounded to two dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 212 = 191. Put -7, d, 1, -3 in descending order.\nAnswer: d, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1043 - 1880. Let u = j - -840. Solve 3*p - 6 = 4*z, u*p - 4 = 2*z + p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -786064554 < -786064554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 69214, 136261, 203296, 270313, 337306?\n\"Answer: -z**3 + 67054*z + 2161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5689139.\nAnswer: 5689139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 - -77. Let m = u + 64. Let b = m - 27.00007. Round b to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g = 41*g + 2*q - 3, -1 = 4*g - 5*q. Let r(l) be the first derivative of 1\/2*l**2 - g - 3*l. Calculate r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12229.\nAnswer: 7, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1711 and 1180?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 2*d**2 - 3*d + 2. Let j be s(1). Factor 0 - 2\/7*x**4 - 2\/7*x - 6\/7*x**j - 6\/7*x**3.\nAnswer: -2*x*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/211 and 3\/11.\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -34. Let a = 11 + -5. Let n(j) = j**2 + j + 2. Let z be n(a). Calculate the highest common factor of z and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68\/53 or 2?\nAnswer: 68\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 388*z**2 + 572*z - 71189. Give g(389).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5 - -1)\/2)\/2. Let l = 0 - v. Let y(h) = 3*h + 29. Let b(i) = -3*i - 23. Let x(f) = -5*b(f) - 4*y(f). Determine x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 41.27847?\nAnswer: 20.639235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:53 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 1, 3, 4, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*4*3\/90*270\/378?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11128673 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180444017 and 9387261.\nAnswer: 1623996153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l**2 + 10*l - 8. Suppose -48 + 13 = -5*w. Let s be q(w). Suppose 2*y - 338 - s = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2 - 1860*o + 3740 = 0.\nAnswer: -374, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 29774. Let u(a) = 2*a**2. Calculate u(d(i)).\nAnswer: 2*i**2 + 119096*i + 1772982152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 20523081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 5*f + 7. Let p(q) = q**2 - 3*q + 4. Let g(j) = -7*p(j) + 4*w(j). Let u(m) = m**2 + 4*m - 2. Give -4*g(t) + u(t).\nAnswer: -3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 12. Let z(g) = -25*g - 48. Is z(w) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4948352\/36928*(-2)\/(-4)*1.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -349.2088 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472*b + 477*b = 130. Let s(d) = d**3 + 4*d**2 - 4*d + 3. Let t be s(-5). Calculate the remainder when 50 - (t - -1*3) is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - u + 1. Let k be a(-2). Let q(i) = -2*i + 1. What is the units digit of q(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(792)*-5*6)\/((sqrt(168)\/(-2*sqrt(12)))\/(1*sqrt(28))).\nAnswer: 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 37480.10475 to zero dps.\nAnswer: 37480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*8\/(-6). Let r = -45 + 45. Suppose -q + c = 0, r*q = q - g*c + 2. Let a(l) = -l**3 + 3*l**2 + 2*l - 2. Calculate a(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 + 4\/(-10). Suppose -5*h + 39 - 9 = z. Solve -4*n - r = -15, 3*n + 5*r - h - 18 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1056, 1062, 1070, 1080, 1092, 1106, 1122?\nAnswer: 1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 9687 = -18*r - 4*t, 0 = 3*r - t - 5802. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/10968912 and 101\/276.\nAnswer: 252284976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 11*d**6 - 3*d**4\/4 + 2*d**3\/3 + 398*d + 531. What is the third derivative of l(m) wrt m?\nAnswer: 3960*m**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 15*l - 16*l + 5*p, l - 4*p + 9 = 0 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3201 - -4582. List the prime factors of n.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 3577*s**6\/120 + s**4\/12 + 716*s**3 - 7309*s**2. What is the second derivative of i(m) wrt m?\nAnswer: 21462*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7708*z**2 + 5*z - 7721*z**2 - 7739*z**2 + 23198*z**2.\nAnswer: 30*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 2*j**2 - 2*j**2)*(0 + 2 - 5)*(5*j**3 + j**3 - 3*j**3 + (-4 + 4 + 2*j**2)*(-j + 0 + 0) + 1 + j**3 - 1 - j + j**3 + j).\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724*r + 211*r = -331 + 3922 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) -1\/3 (c) 0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/28 - 13\/(-7). Suppose v = 3*v + q. Let m = -111\/4 + 28. What is the biggest value in m, v, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2. Let b = 7 + -11. Let m(k) = -2*k**2 - 1. Let u(x) = b*m(x) - 3*l(x). Find the first derivative of u(g) wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than or equal to 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*(-12)\/6. Is 5 a factor of n\/(((-8)\/(-26))\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.834 + 1.8339263. What is x rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/((-2)\/1))\/((-90)\/(-12)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 37\/(-42) + 2\/(-7). Let f = -3\/2 - a. Let q = 46 - 51. Sort q, -1\/2, f in descending order.\nAnswer: f, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 v, and 1 u when three letters picked without replacement from xxicxixuvvcv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9 + -10 - (-6)\/(-32)*290\/(-60) and -39\/8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (2\/(-3))\/(16\/48). Suppose f*o - 2419 = -s, 4*o = o + 4*s + 3634. Round o to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -202*j**3*q**3 - j**2*q + 25*j**2 + 2*q**3 wrt j.\nAnswer: -1212*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 9:07 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 44*l**2 - 12*l + 1. Let r be x(-44). Let m = r + -530. Let v(d) = -d**2 - 5*d - 3. Let o be v(-5). Put -9, o, m in descending order.\nAnswer: m, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 w, and 1 t when four letters picked without replacement from {u: 1, i: 2, w: 2, t: 2, p: 1, e: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 1 + -4 + 27.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 19, j: 1}. Give prob of picking 2 z and 1 j.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5283 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 10511978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 3. Let i be j(5). Let m be (-4 - i)*13\/(-2). Let y(c) = c**2 + 43*c - 4417. Let k be y(-92). Calculate the highest common divisor of k and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 - 4*b**3 + 4*b**3 + (-22 - 2*b + 22)*(0*b - 2*b**3 + 0*b + (b + 3*b**2 - b)*(-b - 2*b + b) - 2*b**3 + b**3 + 0*b**3).\nAnswer: 15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + 0 + 3.\nAnswer: 3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 29. Suppose g = z - 4*o - 23, 5*o = -z + 38. Let u = z + 11. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -5 (b) -2\/3 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -0.3 (c) -2 (d) 168 (e) -9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 58.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 42 = 3*g. Suppose 24 + g = 3*a. Solve -a = -5*w, -3*w - 10 = -c - 5*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 399\/(-38)*-24*(-4)\/448?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 17 (b) -1\/5 (c) -4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 1. Let p be k(1). Let y be (p + 1)*(-8)\/(-12). What are the prime factors of (y\/2)\/((-7)\/(-35))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -6*j**5 - 188*j**4 - 578*j**3 - 508*j**2 - 112*j = 0.\nAnswer: -28, -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 475*k - 35. Does 64 divide b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88024409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 3 - -7 - 33. Let c = 33 + j. What is the remainder when (-2)\/(-7) - 300\/(-28) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:33 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*k + 2*f + 2*f, 4*k + 4*f - 44 = 0. Suppose -k*h + 9*h - 102 = 0. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 640710669 to the nearest 100000.\nAnswer: 640700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*l - 38*l = 93*l + 242 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 5)*2\/3. Let f(q) = -536*q - 2144. Let b be f(-4). Solve b = -0*n + z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 h, and 1 r when four letters picked without replacement from fyhffhyyhhrfff?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8751779 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416173 is divided by 11558.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -115 - -2059874?\nAnswer: 205975b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/897 and -8\/117?\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5720694957 and 837.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60014 is divided by 496.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 + 50*y**2 - 1303*y - 146. Determine w(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -13*i - 53 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/30)\/(6724\/(-403440)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 5*b + 2. Let l(h) = 2*h**2 - 6*h + 3. What is 2*l(m) - 3*o(m)?\nAnswer: m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3145, -12755, -28773, -51199, -80033?\n\"Answer: -3204*k**2 + 2*k + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -1, -4, -9, -16, -25, -36?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4*(sqrt(2299) + 2) - (sqrt(2299) - (sqrt(2299) - (sqrt(2299) + 2*sqrt(2299) + 0))))*-1)**2*-4.\nAnswer: 29568*sqrt(19) + 2705160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 20010?\nAnswer: -20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 8. Let v(y) = -4 - 4 - 1 + 2*y. Let z be ((-8)\/10)\/((-2)\/(-10)). Let j(i) = z*v(i) - 5*u(i). What is j(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31*d + 29*d + 29*d)*(5 + d - 5 - d**2) as z*d**2 + r*d + u*d**3 + h and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -137) + -867 + 824?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 36, 19, -16, -75?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 11*d**4\/6 + 17*d**3\/6 - 42*d**2. Is i(7) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407058 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r - 4025 = -k + 11*r - 3898, r + 7 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/5, 26, -3\/7, 0.4, 16, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07944608 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 2*t**2 + 3*t - 2. Let l be j(2). Let f be (9\/l)\/(9\/24). Suppose -3*p - 27 = -f*p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/20 and -44\/73255.\nAnswer: 293020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*c**2*s**2 + 7648*c*s**2 + 837008*s**2 wrt c?\nAnswer: 64*c*s**2 + 7648*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 8\/21*k**3 + 0*k - 2 - 8\/35*k**5 + 1\/21*k**6 - 3\/7*k**2 + 1\/7*k**4. What is b in c(b) = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5184 and 810?\nAnswer: 25920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -43, -4, -401, -5 in decreasing order.\nAnswer: 3, -4, -5, -43, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*r, -3*r - 3 = -0*r - 3*n. Let f be 0*(r - 0)\/(-1). Find the second derivative of 0*u + f*u + u + 3*u**2 - 2*u wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1426\/(-4) + 4\/8. Let z = j + 516. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 171*g**2. Let j(z) = 988*z. What is j(i(s))?\nAnswer: 168948*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j. Let a be m(1). Suppose n = 2*n - a*t, n - 28 = -5*t. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*k + 34 - 21, d + 3*k = -10. What is the nearest to d in 3\/28, 2\/5, 6?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l**(5\/3)\/l)\/l*l)\/l)\/l*l)\/((l**(-5)\/l)\/l)*(l\/l**1)\/l**(-1) assuming l is positive.\nAnswer: l**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182*d**2*k**2 + 17439*d**2 - 8*d*k**2 + 1162*d*k - 41 wrt d?\nAnswer: -364*k**2 + 34878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, s: 11, y: 2}. Give prob of sequence ssy.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -40*x**3 - 207*x**2 - 4*x - 28. Give q(-5).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4106*y + 4193*y = -5742. Sort 2, 1, -2, y.\nAnswer: y, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 - 59. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.4 (b) 2\/7 (c) 0.2 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (3 - 2 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = -7. Suppose -n + 71 = y, -n + s*y = -4*n + 219. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(20)\/sqrt(10) + sqrt(2)))\/sqrt(12))\/((sqrt(50)\/sqrt(5))\/sqrt(5)*-1).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -0*x + 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 168525825*a*l**3 - 2*a + 142373655 wrt l.\nAnswer: 505577475*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 83368 + 83362 = -z, -122 = -4*a - 18*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9969 + -5127. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/7, -331.1 in increasing order.\nAnswer: -331.1, -3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 927848624 to the power of 1\/2, to the nearest integer?\nAnswer: 30461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 - (45\/(-6) + 2))*822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 4727?\nAnswer: 33089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6683644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*s + 9 = 0, o - 9 = -3*s + s. Suppose 3*a - 3 = o. Suppose -3*j - 13 = w, 3*j + a + 15 = 2*w. Calculate the smallest common multiple of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75938 is divided by 3451.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/2 - (-1)\/1. What is the remainder when 3 is divided by 3\/2 + (-3)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1637 in 6, -3, 0.1, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4470843.0731 + 0.103?\nAnswer: 4470843.1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9277 is divided by 3792.\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 7690398200 to the nearest one million.\nAnswer: 7690000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -97. Let m = 3 + -3.1. Put 0.2, i, m in descending order.\nAnswer: i, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, u: 5, p: 2, c: 1, b: 1, z: 4}. Give prob of sequence zuc.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 18*r - 188 - 135 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441 = -2*a - 5*a. Let h = -39 + a. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -160*k**2 - 111*k - 6. Let f(o) = 1920*o**2 + 1295*o + 70. Let v(r) = 6*f(r) + 70*n(r). Let d(q) = -9*q**2. Calculate d(v(g)).\nAnswer: -921600*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1267 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bebeftttetbeebtz. Give prob of picking 1 e and 3 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*y = -2*r + 15, 12 = -4*y. Suppose r*z + z - 15 = 0. Solve 4*o + 2*d + 2 = 0, 0 = z*o - 4*o - 2*d + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 179*c - 545. Let v be t(3). Does -10\/51 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 15*p + 310. Calculate the highest common divisor of 124 and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*80\/60.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/45 - 119\/360. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -171041, -172049, -173057, -174065, -175073, -176081?\n\"Answer: -1008*r - 170033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x**(-7)\/x)\/x*x)\/x)\/(x*x*x**(-3\/2)))\/(x**5\/(x*x*x**(-4\/3))) assuming x is positive.\nAnswer: x**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6 - -2 - 3\/6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 10*r**2 - 8*r + 82. Let k be s(10). Is ((-6)\/9)\/k*-80307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z + 4*j + 14, -3*z + 18 = -3*j. Let f be (-4)\/z - (-2 + -1). Solve -f = a + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6616 - -6616.00014668. What is v rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -91*b**5\/10 + 215*b**2 + 151*b - 2. Find the first derivative of p(i) wrt i.\nAnswer: -546*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -62757036?\nAnswer: -62757034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 743*n**4\/4 - 13*n**3\/2 - 4*n**2 + 174*n. Let g be u(12). Round g to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1424257, 5697027, 12818309, 22788103, 35606409, 51273227, 69788557?\nAnswer: 91152399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36519 + -4017059\/110. Calculate the common denominator of j and 11\/25.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 2*r**3 + 0*r**3)*(2*r + 3*r - 7*r) - r**4 - r**4 + r**4 + (-2*r**3 + 2*r**3 + 2*r**3)*(0*r - 2*r + r).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1010)\/404)\/((-5)\/112) + 20\/(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 + 690200*w + 5521344 = 0. Calculate w.\nAnswer: -172542, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 5*c + 3. Let l be h(5). Let x = 560 - 1682\/3. What is the second smallest value in 3\/5, l, x, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -128890, -128849, -128794, -128719, -128618, -128485?\n\"Answer: l**3 + l**2 + 31*l - 128923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -245, -19, 7, 1\/2, 0.2, 0.4?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Let a = f + 0.2. Suppose -4*c - 4*u = -4, 25 = -c + 4*u + 1. Sort a, c, 2\/5 in decreasing order.\nAnswer: 2\/5, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-18)*-3*1. Let v(j) be the first derivative of 1 - u + j**2 + 3 - 2*j. Calculate v(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*f - 96 = 0, 0*f - 5*f = -y - 32. Suppose w = 4*w - 153. Let z = y + w. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = -w - 4*w, 0 = -w - 5*l - 15. Let t(c) = 3*c - 2*c + w*c + 6. List the prime factors of t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.031 * -7.\nAnswer: 0.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 989417 to the power of 1\/2, to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (61 + -2 + -24 + (3 - -17)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 756 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 890, 860, 804, 710, 566, 360?\n\"Answer: -2*n**3 - n**2 - 13*n + 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11542 - 3?\nAnswer: 11535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 320202 (base 4) in base 3?\nAnswer: 11222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396 by 9.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*z**2 - 114*z**2 - 74*z**2 + z**3 - 360*z**2 - 71*z**2 as l*z**2 + h*z + r*z**3 + g and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 - 4*u - 1061*u**2 + 2062*u**2 + 4*u - 1004*u**2.\nAnswer: -5*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 29 - 36 + 68 - 28*l.\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10*p + 10. Give w(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -214 - -99. Let g = -112 - m. Solve -7*h = -g*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 4, 11*o = 21*x + o - 3*o + 3*o - 32 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -32199.\nAnswer: 32199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -2 - (13 + 54). Let x = -65 - n. Solve 4*w - 5*w - x = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 4*h**2 - 7*h + 6. Let v be (7 + -17)\/((-4)\/2) - -1. Let q be b(v). Calculate the greatest common factor of 48 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 338 + 505. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 260*c + 780*c - 111*c + 793*c to the form n*c + z and give n.\nAnswer: 1722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 742*r - 1974. What are the prime factors of c(17)?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20531, 41063, 61595, 82127, 102659, 123191?\n\"Answer: 20532*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119.2694 + -3.3487. Let l = z - 0.0819. Round l to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.711 - -4.911. Which is the nearest to -1? (a) -2 (b) -31\/4 (c) p (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*o + 16*o + 4*o**3 - 5*o - o**3 - 7*o**3 + 4 to a*o**2 + r + z*o + w*o**3 and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -10. Let t = d - 9. What are the prime factors of t\/(-11) - (-696)\/44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -653, -1596, -2597, -3656?\nAnswer: -4773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3683102 is divided by 1748?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2097.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 20. Let h be b(23). Suppose 3*l - 916 = 4*z, 5*l - z - 1570 = -h*z. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 1 + 0 + 0. Let k = -4 - -2. Let y = -2 - k. What is the closest to 0 in y, a, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*n - 3736811 - 3368458 = -101*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -562891*-2\nAnswer: 1125782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5875719\/609 + (-1 - (-6)\/7). Let o = q + -5351. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284 + 13*d - 542 + 258.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-2))\/(12\/48). Let b = 7 - g. Solve -4*d + b*d - 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-118 - -186) + -16 - 38\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31960\/13 or -2458?\nAnswer: -2458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 + 0*f - f + 0*f + 0*f + 165 - 2*f**2 as v*f + x*f**3 + d + c*f**4 + w*f**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -479, -851, -1333, -1943, -2699?\nAnswer: -3619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:14 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*h. Suppose 0*o + 3*o = h. What is the nearest to o in 3\/2, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4015777 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: Round -0.00000013685 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from lynny?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:00 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106012711 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1490497587 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 275 and 25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199292.184us to weeks.\nAnswer: 0.0000003295175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k. Let d(c) = 1286*c. Calculate l(d(m)).\nAnswer: 2572*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4155344 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - ((-30)\/(-4))\/(-5)*-2. Solve -q*i - 6*i - 10 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3\/3 - 2*t**2 - t + 2. Let x be m(-2). Let z be (1\/(-3))\/((-3)\/9). Calculate the highest common divisor of x and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83866*r**4 - 19*r**3 - 12149964*r wrt r?\nAnswer: 1006392*r**2 - 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2722029 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -15717, 2, -1 in ascending order.\nAnswer: -15717, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 35. What is the closest to -2\/3 in 3\/7, -0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 730a2?\nAnswer: 730a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8*2)\/((-2)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42.9 + -42.89. Which is the biggest value? (a) 2\/7 (b) u (c) 2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 54 = 4*i - 10, 0 = -3*f + 3*i + 42. Suppose 0 = 9*q - f*q + 9. Suppose -2*w + 39 = q*m, 3*m - 7 = -3*w + 29. Solve c = -2*c + m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**5\/5 + 14744*x**4\/5 - 29503*x**3\/5 - 162194*x**2\/5 + 176988*x\/5 + 530856\/5 = 0.\nAnswer: -14746, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/144 and 151\/30.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1354803479 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1355*y = -1173*y - 10010 for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 24, -276 in decreasing order.\nAnswer: 24, 1, -1, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -331 divided by 4.\nAnswer: -331\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16947 divided by 1.\nAnswer: 16947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 16*v - 186. Suppose -2*p - 2*l + 30 = 2, 2*p - v = 3*l. What is the lowest common multiple of 108 and p?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20150 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-16 - -3) + 6) - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 32637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-156)\/(-27) + (-7)\/(189\/(-6)). Solve 30*a - v = 36*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 - -0.51. Which is the second smallest value? (a) -3 (b) 1 (c) 0 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 31*r**2 + 35*r - 56. Give l(32).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*j - 1 + 3, -2*r = 5*j - 5. Suppose -60 = -r*q + 865. Suppose -4*c + 114 = 5*v - 34, -3*v - q = -5*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 29 - 1 = 0. Let u = -13 + b. Suppose 0*v - u*t = 5*v - 379, 3*t - 68 = -v. List the prime factors of v.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 - -74. Does h = -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526843 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: Calculate the remainder when 3672 is divided by 889.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 2*l + 2. Let f be 14\/(-4) - (-2)\/4. Let i be s(f). Suppose i*v = 1 + 4. Solve -3*t = -4*t - v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -80\/91099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r + 1. Let i(j) = 5*j + 176. Let y(g) = -14*g - 484. Let f(h) = -11*i(h) - 4*y(h). Calculate 5*f(b) - l(b).\nAnswer: 11*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10645 (base 11) to base 12\nAnswer: 8b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26499, 26716, 27079, 27588?\n\"Answer: 73*l**2 - 2*l + 26428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -30.15 (c) 0.1 (d) 27 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -28 (b) 0.1 (c) 4 (d) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4 - 42084*r**3 - 218623080*r**2 + 29115141584*r - 112959903168 = 0.\nAnswer: -10586, 4, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 10. Suppose s*v - v - 87 = 0. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 3*m + 4*a + 90, 31 = 4*m + 5*a. Suppose -m*j - 2610 = -8*j. Let x = 728 + j. List the prime factors of x.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(5*o + 2*o - 5*o) + 1 - 1 + o + 4*o - o - 5*o - 2*o - 1 + 1 + (11*o + 6*o - o)*(0 - 2 - 1) to the form r*o + w and give r.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1343704 and -394.\nAnswer: -529419376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*q**6 - 6809215*q**3 - 300793758*q**2?\nAnswer: -2520*q**3 - 40855290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6912)*1)**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 4914076.07?\nAnswer: 4914076.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 10*h**3\/3 - 12*h**2 - 81*h - 2. Let j(k) = -4*k + 5. What is -14*j(s) - 3*n(s)?\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/4 - p**3\/3 + 2*p**2 - p + 2. What is the lowest common multiple of ((-4)\/6 - (-8)\/384*-4)*-12 and y(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 124665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 2330910*w + 2716570714050.\nAnswer: (w + 2330910)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 785320458 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + -31. Does 18 divide ((w*1)\/((-8)\/12))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 278\/7. Let p = 10121 + -19403\/2. Let b = p - 421. Put l, 0.4, b, -2\/5 in descending order.\nAnswer: 0.4, l, -2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*j - 4, -24*j = 3*o - 19*j - 32. Let n be 40\/2*(-6)\/(-15). Suppose 0 = -5*t + 5*i, n*t + o*i = 4*t. Solve t*a + a = -2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5164 + 0.0464. Round u to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:28 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzm when three letters picked without replacement from mzmzmmzmzmzmmzmmmm?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1039112 divided by 1039112\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(847) - (-2 + sqrt(847))) + sqrt(847))**2*-2.\nAnswer: -5106 - 264*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l - 43*l - 26*l - 2*l**3 + 10*l**3 + 3 - 7 to q*l**2 + m*l + f + i*l**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6454 (base 8) in base 3?\nAnswer: -11121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025703 to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c. Suppose 3*n + 22 = 14*n. Suppose -4*a - n = 4*d + 6, 3*a + 12 = 0. Let s(y) = -11*y**d + 4*y**2 + 4*y**2. Calculate s(i(x)).\nAnswer: -75*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 3*s**4\/2 + s**2 + 15. Find the second derivative of n(v) wrt v.\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0\/3)\/(-3))\/(-2). Suppose m + 2 - 27 = u. Calculate the remainder when m is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 8. Let l be t(-10). Solve m + 4 = l*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/9)\/((40\/24)\/5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - ((15 - -58) + -22).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 423 + 3348 = 3*d, -4*y - 6294 = -5*d. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27235 at most as big as 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*-2*(sqrt(432) + sqrt(432) + 1) - (sqrt(432) + -1 + -2)*-5))**2.\nAnswer: -4368*sqrt(3) + 73204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 2*k**2 + 2*k + 2. Let d(z) = -z**2 + 4*z + 7. Let v = 15 - 10. Let j be d(v). Let q(x) = -x**2 + x + 1. What is j*q(w) - y(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3461.\nAnswer: 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) - 6*(sqrt(99) + sqrt(99)*1)) - sqrt(99)*1*5)*2)\/((-4*sqrt(108))\/(2*sqrt(9)\/sqrt(3))))**2.\nAnswer: 539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1056602376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**2 + 5 - 2 - 3.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-nine halves of a litre?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248 divided by 1522.\nAnswer: -124\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*v = 58, -7*o + 2*v = -2*o - 160. Let c(g) = g**3 - 36*g**2 + 69*g - 44. What is c(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 + 0.02. Which is the fourth smallest value? (a) 51 (b) -0.5 (c) z (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 18. Let o = -4579 - -4583. Solve t = -o*t + k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1282, 5216, 11776, 20962, 32774, 47212?\n\"Answer: 1313*l**2 - 5*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2401, 5 in decreasing order.\nAnswer: 5, -5, -2401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 9 - 26 - -5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - 122743?\nAnswer: -122798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 987 + -229. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1380198403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 46, 115, 212?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 64*v + 3 + 64*v. Let b be f(2). What is the remainder when 50 is divided by (b - 0)\/(1\/(-13))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 2809*x**5\/30 - 1075*x**4\/2 + 104*x**2 + 30. Find the second derivative of i(d) wrt d.\nAnswer: 11236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 106, 237, 420, 655, 942, 1281?\n\"Answer: 26*m**2 + m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 864.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1396, -1398, -1400, -1402, -1404, -1406?\nAnswer: -1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.00000011 + -8. Round z to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*v + 254*v + 4564 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - 0.01. Let y be (-8)\/6*((-12)\/8 - -1). What is the third biggest value in -1\/8, y, l?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 5, -11 in decreasing order.\nAnswer: 5, 4, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 187. Suppose 19 + 17 = 4*q. Let g = -9 + q. Is k(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593234014?\nAnswer: 2, 796617007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8380 + k - 8380. Let p(j) = 6*j - 2. What is -6*i(v) - p(v)?\nAnswer: -12*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 68 = -4*o, 3*o + 2*k = -10 - 36. Let i be 90\/o*(-24)\/5. Calculate the highest common divisor of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.13, 631, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 38063 = 3*m, -2*m + 11*c + 25368 = 6*c. Is 242 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31928786 divided by 4?\nAnswer: 15964393\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -1995, -6632, -15661, -30546?\nAnswer: -52751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 17*b**2 + 2*b - 34. Let o be p(17). Let w be -2 + (-5)\/((-30)\/16). Solve -1\/3*x**2 + o - w*x = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1212020100?\nAnswer: 1212020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*j + 22 = 45*j. What is the nearest to 1\/11 in 2\/9, -6, 1\/3, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**3 + 7299*p**2 - 4996290*p = 0?\nAnswer: -2990, 0, 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 take away -25787681?\nAnswer: 25787680.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from sswk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65.8 + -66. What is the closest to y in -1, 84, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/39 + 10\/13. Let g = 3.5965 - 4.3965. Let q = -0.3 - -5.3. Sort f, q, g in decreasing order.\nAnswer: q, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*l - 80 + 80)*(0*l - 4*l + 3*l) in the form c + j*l + r*l**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8761410.\nAnswer: 2, 3, 5, 7, 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5\/5 + 1802*n**4 + 10152014*n**3\/5 + 10133998*n**2\/5 - 10152016*n\/5 - 10143008\/5 = 0. Calculate n.\nAnswer: -2252, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 20*w + w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 20. Let p(m) = m**2 - 2*m + 2. Let t be p(q). Put t, -0.5, -2 in increasing order.\nAnswer: -2, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 0.5 (c) -4 (d) 5\/56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-3 - 1 - -3) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01361056 rounded to 5 dps?\nAnswer: -0.01361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68) + 2*sqrt(68))*-5)\/(sqrt(256)*-2).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9637*d + 1. Let q be h(3). Suppose 4*f = -5*a + 51068 + q, -40016 = -2*f + 4*a. What is f rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -20*q + 14*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(0 + (-42)\/4). Let b = 18 - 9. Let x = -13 + b. What is the nearest to z in x, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112211120 (base 3) to base 11.\nAnswer: -8142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obbbdobdbjqdobq. What is prob of picking 1 q, 1 j, and 1 o?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 7:38 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31853, -31867, -31881, -31895, -31909, -31923?\n\"Answer: -14*v - 31839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2176 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 6) in base 16?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35.33048 and 7418.8?\nAnswer: 7454.13048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-5*(sqrt(88)*1 - sqrt(88)))\/sqrt(4))\/((sqrt(1331) - 2*sqrt(1331))*3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -53*h - 2. Let m(j) = 26*j. Determine m(w(o)).\nAnswer: -1378*o - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -2682621.\nAnswer: 268262.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:51 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2\/19 (c) 2\/15 (d) 1\/4 (e) -44.34 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - f = -39, g = -0*f + 2*f + 10. Suppose 2*l + 2*l = 36. Suppose 5*q + l = -w - 0, 2*w - q = 4. Calculate the lowest common multiple of w and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 9378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 7:31 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**3 + 4*d**2 - d + 4. Suppose -12 = -4*h, 2*s + 65 = -0*s - 5*h. Let a = -10 - s. What is the remainder when p(3) is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 8183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 106.1, -0.04, 1 in decreasing order.\nAnswer: 106.1, 1, 0.5, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2791*r - 1957*r + 1371300 = 8312*r for r.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:57 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -70.31 and -35432 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*o - 358. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, 4.2, 0.27, -2\/9?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-3) + (1 - 2). Solve 16 + d = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 347563 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 12348*q - q**2 + 15963398 + 3*q**2 + 333590 + 2762150 = 0. Calculate q.\nAnswer: -3087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -686 + 685.95. What is the closest to 0 in z, -0.3, 0.8, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(2\/2))\/(30\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15312, 15141, 14970?\n\"Answer: -171*o + 15483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2816491?\nAnswer: 457, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*g - 29*g - 187*g)*((-5 + 2 + 4)*(2*g**2 - 2*g**2 - g**4) + 0*g**4 + 2*g**4 - 3*g**4) - 2*g**5 - g**5 + 6*g**5.\nAnswer: 645*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-21)*10\/40?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 535, 1\/6, -199, 3 in increasing order.\nAnswer: -199, 1\/6, 3, 535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 21 - 37 + 16 + t - 77.\nAnswer: t - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Solve 0 = -x - o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26538, -2, 0, -134, 2, 5 in ascending order.\nAnswer: -26538, -134, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 20*v**2 + 1 - 104 + 5 + 98.\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 21*u - 190. Let t(v) = -2*v**2. Give y(t(f)).\nAnswer: -42*f**2 - 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x**2 + 2*x + 3. Suppose r + 5*h = -0*r + 2, 0 = 2*r + 5*h - 9. Suppose 3*t - r = 4*k, -t + 3*t - 3*k = 6. What is the tens digit of d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -11667.5474414\nAnswer: 11672.5474414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (112116765\/(-35))\/(-3) - -2*2\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 34 - 56. Let r be (-4970 + m)*(1 - 2047). Round r to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 3202?\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-14 - -25) - (3 + -18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62.8 - 71. Let n = g - -8.1. What is the nearest to n in -5, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2 + 2 - 3*q + 0*q - 4*q. Is i(-4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -2731, -0.85, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((3 - 0) + 3)\/1. Suppose 5*w - 102 = 38. Let v = 47 - w. Solve 5*q = x + v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 12*m - 16*m - 16*m + 47*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 84*i**3 + 198*i**2 - 660*i + 375.\nAnswer: 3*(i - 1)**2*(i + 5)*(i + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956433 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154166 and 616664.\nAnswer: 616664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + n - 4*n)*(-3*n - 13*n - n) to w + j*n**2 + c*n and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*10\/21)\/(((-18)\/28)\/3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 39*m - 35. Let i = 258 + -296. Let o be n(i). Solve 0 = o*g - 8*g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -5, -18, -103358, -0.1, -0.4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 2. Let b(t) = -t + 1. Let j be b(5). Let o be h(j). Calculate the lowest common multiple of 18 and 2 + 1 + o + -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2007495?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_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: Is 2409909988 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + 2*m - 5*m)*(2*m + 2*m - 5*m) + 0*m**2 + 20*m - m**2 - 6*m.\nAnswer: -3*m**2 + 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 766 divided by 109349.\nAnswer: 766\/109349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.069 (b) 0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3393773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.5 - 5.9. Let l be 0 + (2 - (-64)\/(-30)). What is the third biggest value in l, y, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sppppsmpsppswaaapws. Give prob of sequence pasp.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 7) + 1 + -2 - (-260 - -253)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 0*w - 2*w)*(320*w - 114*w + 343*w - 111*w).\nAnswer: 876*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 446450\nAnswer: -19\/223225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 - -117. Find the common denominator of (-21)\/14 - 142\/f and -43\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7528 + -4.9922. Round u to one decimal place.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/2)\/((-2)\/(-6)). Suppose 5*s + 1 = -h. Let f be s + (-1 - 0 - 37). What is f rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 268 = -5*v - 304, -5*u + 23 = 4*v for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (48 + -77 + (5 - (-10 - (2 - 4)))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159)\/(-795)*(-30)\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 10112?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/6, -2\/17, 5, -183\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*m - 2*m**2 + 145*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**2 - 14*c - 24. Let x(d) = 2*d**2 + 5*d + 8. Let r(k) = 3*m(k) + 10*x(k). Let b be r(-7). Let o = b - 35. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1672*f + 67. Let a(m) = 1672*m - 50. What is -4*a(d) - 3*q(d)?\nAnswer: -1672*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -o + 18. Suppose 9*r = 19 - o. Put 7, r, 0 in descending order.\nAnswer: 7, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -52396146*r**4\/7 + 624519720*r**3\/7 + 7242048*r**2 + 1367552*r\/7 + 12288\/7 = 0. What is r?\nAnswer: -8\/297, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 5*i + 4. Let u be w(-5). Suppose 0 = -0*n + u*n - 16. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2115 and 940.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -1 - 7, o = -5*n + 106. Suppose k + 1 = 0, -4*x + 2*k = -n - 256. Suppose -x = v - 2*v. Calculate the remainder when v is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1752, 7012, 15776, 28044?\n\"Answer: 1752*x**2 + 4*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 122 + (0 - 1). Let y(u) = -3*u**2 - 5*u - 2. Let l be y(-3). Let q = l - -25. Calculate the highest common divisor of f and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 6:30 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 + 81 + 2*l**2 - 127*l**3 + 128*l**3 + 3*l + 27*l**4 as v + f*l + m*l**4 + y*l**2 + u*l**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9571650.\nAnswer: 2, 3, 5, 11, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 471.\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1\/3, 3.4226?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 285516840.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + (-5 + sqrt(2736) + 2 - sqrt(2736))))**2 - -3*(-2*sqrt(2736) + -3)*-4.\nAnswer: 100 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21924 + 657539\/30. What is the common denominator of -19\/24 and y?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 - 3*n**2 + 15*n + 5. Let w be 5\/(((-2)\/(-1))\/(-2 - 0)). Let c(h) = -6*h**3 + 4*h**2 - 22*h - 7. Give w*c(y) - 7*q(y).\nAnswer: 2*y**3 + y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20312 (base 7) to base 12\nAnswer: -2a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 115777*x - 463085. Calculate i(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.78 and -5.\nAnswer: -5.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 + 2*j**2 + 3. Let h be y(2). Solve 2*n - 10 = 6*n + 5*g, 5*n - 5*g + h = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 2*v**2 - 3*v - 6. What are the prime factors of a(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b - 11*b + 13*b**2 + 4 + 12 + 29*b - 17*b**2 = 0. What is b?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 12, -2*z + 3*s = -5*z + 3. Let n be (-2)\/(-3)*z\/(-2). Which is the biggest value? (a) n (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 5*u + 2. Let k(x) = 2*x**2 + 3*x - 4. Let d be k(-3). Let i be b(d). Put -3, i, 1\/2 in descending order.\nAnswer: i, 1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24386 (base 9) to base 3.\nAnswer: 211102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**3 + 2*i**2 + 7372*i - 14740. Determine g(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-8)\/(-6) + -1). Let v = u + -4. Calculate the remainder when 81 is divided by 249\/12 + v\/(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*u + 5*o, 4*u = -67*o + 68*o - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 28 = -11*y. Suppose 4*c - 1 - 7 = 0, -k = c - 5. Suppose -5*j = 20 + 5, -5*d + k*j + 150 = 0. Calculate the remainder when d is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/13)*c**(4\/21))\/(c**0\/c)**27 assuming c is positive.\nAnswer: c**(7465\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27b6cc (base 13) to base 5.\nAnswer: 221432422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 3*t**2 + 5*t - 4. Let p be c(4). Let l = 22 + -17. Solve p = l*a + 7 - 27 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - (0 + (-4 - -7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2998*j = 5*v + 3003*j - 25, 3*v = j + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 - -27 - -23 - 89.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(-4*9\/(-180)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + y = 87, 7*j - 2*j - 2*y = 231. Is 4374\/8 + (j\/36)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.6382767+-87271\nAnswer: -87267.3617233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1178 divide 7415510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31761680 divided by 65488.\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 635228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202023031 - 100?\nAnswer: 202022431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-89)\/40 + -1 + 6\/(-16). Let f = -106\/35 - s. Factor -f*y**3 + 0 + 2\/7*y**2 + 2\/7*y.\nAnswer: -2*y*(y - 1)*(2*y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + (sqrt(637) + -1 - sqrt(637)))*-3 + sqrt(325)*1 + -5.\nAnswer: -16*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-93)\/2*(50\/(-15))\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 32628*l - 11. Give y(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211121 (base 3) in base 13?\nAnswer: -c31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 13*d = -15. Let j = 20 + d. Let s(h) = h - 11. What is the remainder when 5 is divided by s(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65768.24666 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 13*h + 1. Suppose -2*l = 4*r + 18, 5 = l - 5*r - 21. What are the prime factors of q(l)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310535.\nAnswer: 5, 173, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 33\/13, 0, 49\/2?\nAnswer: 33\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 111? (a) 1\/8 (b) 2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiiiiifiii?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-32)\/q**47 assuming q is positive.\nAnswer: q**(-79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51648 - 22954. List the prime factors of o.\nAnswer: 2, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**4\/5 + 382*w**3 + 32388*w**2\/5 + 86368*w\/5 - 10304 = 0.\nAnswer: -460, -14, -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i - 1 = -2*w, -w + 2*i = 0. Let z = 15 - 15. Suppose 4*k = -0*k, -d - w*k + 19 = z. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/8*(-9)\/(-3) + (-3)\/1. Solve -3*i + 6 = -x*b, 4*i - b = 170 - 177 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 35*v + 111. Let z be u(-3). Which is the smallest value? (a) -0.1 (b) -2\/9 (c) 0.1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160)*-2)\/(sqrt(35)\/(sqrt(7) + sqrt(112))) + 3)**2 + ((sqrt(108)\/(sqrt(15)\/sqrt(5)))\/(sqrt(12)*1*-6))**2.\nAnswer: -720*sqrt(3) + 518509\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llwlllw. Give prob of picking 1 w and 1 l.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (19\/(-4))\/(5\/40*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-31))*q*q\/(q**38\/q)*(q**(2\/13)*q)**(-5) assuming q is positive.\nAnswer: q**(-127\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 966914 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -827*o**6\/24 + 1211*o**3\/2 - 284*o**2 + 2. What is the derivative of w(r) wrt r?\nAnswer: -12405*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 45 (b) 4\/7 (c) -12263\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2492769 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - 3\/(12\/(-152)). Suppose -3*p - 50 - j = 0. Let x = 33 + p. Solve -x*c - 25 = 3*u, c - 2*u + 25 = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*j = -38 + 95, -i - 28 = -4*j for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2539 divided by -41710.\nAnswer: 2539\/41710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/3 (b) 5 (c) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -3*g - 97. Let v be (g - -5)\/((-25)\/15 + 2). Let n be -2 - (5 - 2 - 4). Put n, v, 29 in increasing order.\nAnswer: v, n, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:47 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(((h\/(h\/(h*h**(1\/12))*h))\/h)\/h*h)))**(1\/5) assuming h is positive.\nAnswer: h**(-11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420417 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2*2\/(-6). Let a be (c - 5)*24\/10. List the prime factors of -2*15*8\/a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8103 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 2*v**2 + v**2)*(-2*v**2 + 2*v**3 + 2*v**2) - 5*v**5 - 4568 + 3*v**5 + 4568 + 32966*v**2 - 5131*v**2.\nAnswer: -6*v**5 + 27835*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -44*m**3 - 11*m. Suppose 40 - 6 = -17*u. Let s(f) = -9*f**3 - 2*f. Give u*z(o) + 11*s(o).\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 3*i - 125. Let m = i - 81. Let g(v) = v**2 + 5*v + 5. Let l be g(-5). Sort -5, m, 4, l in ascending order.\nAnswer: -5, m, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 41*a + 191 = -37. Sort 3\/7, 19, a.\nAnswer: 3\/7, a, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50954705?\nAnswer: 5, 10190941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -18*f**2 + 0*f**5 + 0*f**3 - 1\/8*f**4 + 0*f**7 - 1\/112*f**8 + 1\/20*f**6 + 0 + 0*f. Factor y(a).\nAnswer: -3*a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 4:40 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/8 - g**3\/6 - 3*g**2 - 11*g. Let m(p) be the first derivative of w(p). Calculate m(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 385 = 340 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123764.1 + -5.\nAnswer: -123769.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 834*h - 363630. Give g(436).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*f - 64*f = 2363 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.363 * 1461.\nAnswer: -530.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1533*b*o**5 + 40*b*o - o - 1 wrt o.\nAnswer: -30660*b*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, -33, -101, -203, -345?\n\"Answer: -z**3 - 8*z**2 - 9*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59840, -122086, -184332?\nAnswer: -246578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4457 + 4466. What is the nearest to 0.2 in v, 1\/13, 2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 11*j**3 - 8*j**2 - 4*j - 25. Let n(y) = 13*y**3 - 9*y**2 - 4*y - 28. Let x(s) = 7*l(s) - 6*n(s). Determine x(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 78, 175, 310, 483?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.6 (c) -208\/5 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 + 3*g - 8*g**3 + 4667 - 9380 + 4668 to the form c*g**3 + t*g**2 + y + p*g and give y.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -408*z**6 - 52*z**2 - 5 wrt z?\nAnswer: -48960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5104*g + 5159. Calculate k(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 35 = 5*p, 0*p + p + s + 13 = 0. Let n be (-104)\/462 + p\/(-35). Let g be 3\/(6 + 9\/(-1)). Is n at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/22*432\/360.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/180 and 64\/729.\nAnswer: 14580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50973198 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*m**5 + 4*m**4 - 2*m + 20\/3*m**2 - 8*m**3.\nAnswer: -2*m*(m - 3)*(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 3*n**3 + 6*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46523\/31 greater than 1501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/108)\/((-6)\/(-16))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 7*c + 150. Suppose 0 = -40*j - 7*j + 1363. What are the prime factors of x(j)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -155 - d - 150 + 28*d**3 + d - 5 wrt d.\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*r + 228, r - 27 = -5*s + 7. Solve 0 = 7*p - r + 41 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/1343?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210) - 1*sqrt(210))*-5)\/(sqrt(63)*-6))\/((1*sqrt(24)*-6)\/(sqrt(64) - sqrt(64)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (8 - -1 - (-24 - -30))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -466, -1533, -3292, -5731, -8838, -12601, -17008?\n\"Answer: 2*w**3 - 358*w**2 - 7*w - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58946, 117892, 176838, 235784, 294730?\n\"Answer: 58946*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*t - 464991 = t, 92988 = -k + 4*t. What is k rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 60 - 186. Let n(r) = r**2 + 5*r + 12. Let g be n(-7). Calculate the remainder when -4 - g*(-9)\/6 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307414502?\nAnswer: 2, 17, 61, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-12) - 51\/(-12). Let t be ((-5)\/4)\/((-3)\/12). Let o = d + t. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177029333 or -177029336?\nAnswer: -177029336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - -1*sqrt(91)*1) + (sqrt(91)*3 + sqrt(91))*2)\/((sqrt(252) - (sqrt(252) - 1*sqrt(252)) - sqrt(252))*6 - 6*sqrt(252)*2).\nAnswer: -5*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*d - 16 - 19, -8*n + 5*n = 12*d + 48 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/6 + c**3\/6 + c**2 - 7*c. Let p(n) = n**2 - 1. Determine -2*g(s) - 3*p(s).\nAnswer: s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 44, 38, 30, 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1653893?\nAnswer: 19, 61, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (616\/22022)\/(96\/2376).\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 68\/884 + 123\/(-78)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 5*y**2 + 8*y + 25. Calculate c(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 21*q**4\/2 - 241*q**3\/6 - 125*q - 202. Let o(d) be the first derivative of k(d). What is the second derivative of o(p) wrt p?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 27*u - 2*u**2 - 27*u - 10*u**2. Let f(k) = -2*k. Give f(h(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 + 2*s**4 - s**4)*(-33 + 11 + 37 + 202).\nAnswer: -434*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 23*q - 68 = -q - 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -908?\nAnswer: 3\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2215 + 1422?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -540.625 and -0.5?\nAnswer: 270.3125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - -136.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l + 2 = 0. Let f = -4.963617 - 0.036383. Let x = 2.5 + -2. What is the closest to l in 2\/9, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257 divided by 1?\nAnswer: 4257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 29*p**2 + 3*p - 2. Suppose -2*u - 1 = -3. Let b be f(u). Suppose -9 = 3*v - b. Is v smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**1)*v)\/v)**1\/((v\/(v*v*v**2\/v*v))\/(v**(4\/5)\/v))*((v\/(v\/(v\/(v**(-3\/8)\/v))))\/((((v*v**(-1\/6))\/v)\/v)\/v))**(-3\/35) assuming v is positive.\nAnswer: v**(79\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 13*i - 2*i. Solve 21 = i*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*c - 60 = 0, -25*c + 24*c - 27 = -2*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**5\/10 - 2*q**2. Let h(s) = 5*s**2. Let v = 6 + -10. What is v*h(n) + 3*z(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*p - 2*p. Let r(i) = 86*i**2 + 2*i. Let j be r(-1). Calculate the highest common factor of j and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2. Let g = 73 + -72. Let z(x) = -x + 1. Let o(h) = -3*h + 9. Let k(r) = g*o(r) - 9*z(r). What is u(k(y))?\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 6) in base 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 634564296 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (2 + sqrt(1331) + -1))**2 - ((-4*sqrt(44)\/sqrt(2))\/sqrt(2))**2.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(125) + sqrt(125) - sqrt(125) - sqrt(125)) + 2 + sqrt(125) + 1 + 3 - (-6*sqrt(125)*-3 + 5))**2*-2.\nAnswer: -100002 + 400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 + 3*k + 7. Let x be 0 + 3 - -3 - 1. Let g(a) = a**3 - 2*a - 5. Let d be (-2)\/9 + (-130)\/(-18). Give d*g(q) + x*v(q).\nAnswer: -3*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1060)\/(-265))\/(2*17)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2\/12874727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:13 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.3520088 minus 3?\nAnswer: 31.3520088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.6. Let y = 0.02 + 0.08. Let j = y + g. Put 0.3, j, 0.1 in ascending order.\nAnswer: j, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, -6, -1, 3 in decreasing order.\nAnswer: 8, 3, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13*y - 15*y + y**2 + 4 - 1 + 20*y. Let n be v(8). Suppose 3*l = -0*l - 4*o + 330, 3*l - 330 = -n*o. Calculate the remainder when l is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1 + 3*a + 2*a**2 - 2*a + 0. What are the prime factors of l(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8637, 16648, 24659, 32670?\nAnswer: 40681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 775919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*b)*(-2 + 0 + 3) - 3342*b - 3462*b - 15306*b - 2509*b - 2170*b to the form i*b + m and give i.\nAnswer: -26787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-14)\/(-4))*(2 + -4). Let p(c) = 2*c**3 - c**2 + c + 5. Let z(r) = -r**3 + r**2 - r + 1. Let t(v) = -p(v) - z(v). Is t(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12275.\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 6*u. Let y be 4\/(1 + -2)*5\/(-20). Let t(q) = q. What is y*s(n) + 5*t(n)?\nAnswer: 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5778\/17 - -340. Let q = 0.3 + -1.1. Let w = q + 0.5. Which is the second biggest value? (a) n (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.06, 23896 in ascending order.\nAnswer: -7, 0.06, 23896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/8 and -4\/187.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 7*d**2 + 8*d + 7. Let m(x) = -x**2 + 3*x - 4. Let l be m(4). Suppose -2 = -4*b + 6. What is the lowest common multiple of j(l) and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u + 3. Let f(m) be the first derivative of m + 3 - 3\/2*m**2. Give 5*f(j) - 2*v(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 308625493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**9\/432 - k**6\/180 - 7*k**3\/3 + 1. Let r(j) be the third derivative of p(j). Find the third derivative of r(v) wrt v.\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuwuuukukkuwuuuquuu. What is prob of picking 1 w and 2 k?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.357879 to two dps.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 12 - 3*d**3 + 2*d**2 - 9 as h*d + t + r*d**2 + s*d**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 2, x: 1, q: 2, r: 1, i: 2}. Give prob of sequence qr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 34*m + 50 - 48 + (-5 + 3 + 3)*(-3*m + 5*m + 0*m) + (6 - 1 - 3)*(3*m + 0*m - m) + 2*m - 7*m + 4*m + 3*m - 2*m + m - 1 + 2*m + 1.\nAnswer: -22*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2 = -3*v, -29*r + 32*r = -4*v - 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -225651010 - 7?\nAnswer: -225651017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 - (-50)\/(4 - -1). Solve 0*v - v + 4*c = -12, -3*v - 3*c = y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 - 13a1?\nAnswer: -1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 13*w**2 + 137*w - 51. What is o(8)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -1. Suppose -3*k + 34 = k + 3*w, -k + w + x = 0. Let u be (-2)\/(-5) + 46\/k. Solve u*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*46\/230?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2552 and 3944?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 939584.\nAnswer: 59193792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*u = u, u = 2*i - 2. Suppose 0 = -5*b - 5*p + 5, 6 + i = 2*b + 5*p. Put 1, b, -0.5 in increasing order.\nAnswer: b, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33344 is divided by 1569?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 12:49 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.03 - 11.63. Let m = -49.4 + g. Let j = 66.4 + m. What is j rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*z = -432. Suppose 0 = -r + 3*r - b - 101, r - 73 = 5*b. What is the least common multiple of z and r?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 239.61 + 5.39. Let n = 245.062 - v. What is the third biggest value in n, -2\/15, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 222, 1 in descending order.\nAnswer: 222, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4023 - 43310?\nAnswer: -34232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15958 = 131*w + 71*w. Solve 7*u = -w*u + 172 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + u**2 + u - 9. Let n be r(0). Let l(h) = -3*h**3 - h**2 - 1. Let p(g) = -13*g**3 - 4*g**2 - 5. Determine n*l(w) + 2*p(w).\nAnswer: w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 123594 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*t - 3 + 13 = 0, 0 = -5*x + 4*t + 28. Suppose x*k + 4 + 0 = 3*l, -2*l - 4 = -4*k. Solve -3*z + 5 = l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyqinnxqe. Give prob of sequence xyn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52980379 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**3 - 10*v**2 - 7*v - 22. Let a(k) = -2*k**3 + 4*k**2 + 3*k + 11. Let y(d) = -7*a(d) - 3*j(d). Does 16 divide y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278919?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 6:36 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-2)\/(-4) + (-6150)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*y**3 + 220*y**3 - 8 - 1 + 233*y**3.\nAnswer: 627*y**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-526.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 90 = 7*g. Calculate the smallest common multiple of (-3)\/g - 9\/(-6) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 0 - 3*q**3 - 1 - 3 + 2*q**2. Let s = -22489 + 22493. Let m(o) = 8*o**3 - 6*o**2 + 12. Calculate s*m(g) + 11*h(g).\nAnswer: -g**3 - 2*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2868608 divided by 4?\nAnswer: 717152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3346828 and 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*l, 3*l = -5*m + 2*m. Let d = 0.004 - 1.004. Which is the closest to 0.5? (a) d (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Let g(a) = a**3 - 6*a**2 + 2*a - 10. Let n be g(6). Suppose n*f - h - 5 = 0. What is the greatest common factor of f and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -154, -266, -378, -490, -602?\n\"Answer: -112*m - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 9:05 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 221*z + 654.\nAnswer: (z - 218)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rririrriiriir. What is prob of picking 2 i and 2 r?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/20 and 36\/240 + (-3 - -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167 - 139. What is the greatest common divisor of 8 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190880 and 4640.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -61 + 5?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/c**(-8))\/c)\/c)\/c**(2\/39))\/(c**(4\/5)\/c**(-2\/25)))**(-2\/115) assuming c is positive.\nAnswer: c**(-11834\/112125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 4*i = 57. Let c = 20 + i. Let v be 1\/10 - 205\/(-200). Is v greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from {f: 5, y: 4, c: 3, o: 1}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 9. Let v(x) = 1. Let l(q) = -p(q) + 3*v(q). Calculate l(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80748 is divided by 13448.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -5)\/(0 - -1) - -2. Let s(n) = n**2 + n + 18. Find the common denominator of s(a) and (-6)\/(-8)*(-32)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 330 = -12*y. Calculate the remainder when 93 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**3))**(21\/4) assuming c is positive.\nAnswer: c**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 - 42 + 556*y**3 - 42 + 483*y**3.\nAnswer: 1039*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01175524621 to 5 dps.\nAnswer: -0.01176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 6.1. Let y = 5 + -7. Which is the closest to q? (a) y (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 19 - 17)*(-1 - 4 - 6)*(16*i - 14*i + 30*i) to the form v + t*i and give t.\nAnswer: 8448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1912.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 98 in 1\/3, 4\/11, 3, -68.8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154447037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48810029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2624.713ml to litres.\nAnswer: 2.624713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v + 5 - v**2 + 2*v**2 - 8*v + 0*v + 5*v. Let w = -1063 - -1067. Give l(w).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.04 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -230 + -405114?\nAnswer: -405344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2 + (-7)\/(-3)). Suppose g - i + 7 = 3*g, -w*g + 9 = 2*i. Suppose 0 = -g*v + 7 + 3. Solve v*k = -4 - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9166 - 9163. Sort 1040, 2, s in descending order.\nAnswer: 1040, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 2*o - 1. Let j(c) = -4*c + 27. Let l be j(9). Let n be -12*((-36)\/16)\/l. What is s(n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 5*o**3 + 52*o**3 - 25*o**3 + 3*o**2.\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74559, -74566, -74571, -74574, -74575, -74574?\nAnswer: -74571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 + 7*u**2 + 14*u - 2. Let k(c) = c**3 - 4*c**2 - 7*c + 1. Calculate 7*k(h) + 4*v(h).\nAnswer: -h**3 + 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c + 6. Let b(d) = 3. Let t(n) = n - 12. Let y(r) = 9*b(r) + 2*t(r). Let i(v) = s(v) - 2*y(v). Suppose -3*a = -0*a - 3. Calculate i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 273573943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) + (sqrt(612) - (-3 + sqrt(612))))*-1 - sqrt(612)*4*-5) + (sqrt(612) + (sqrt(612) + -1)*-4 + 0)*6)**2.\nAnswer: 252*sqrt(17) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:52 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 2*x**2 - 30. Give c(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 19*x**2 - 6*x - 14. Let l be k(-14). Suppose -l + 205 = -5*i. Let w = -133 + i. Calculate the greatest common divisor of w and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - r - 2. Let j be y(0). Let h = 0.67 - 0.87. Which is the second smallest value? (a) -4 (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -298305*s + 5071186. What is b(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 407, 701, 995, 1289?\n\"Answer: 294*x + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -142 and 0.4.\nAnswer: -56.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.03 (b) -1\/10 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 1. Let b(q) = 17*q - 24. Let p be b(8). Let z = 122 - p. Let h(i) = -6*i - 4. Calculate z*x(l) - 3*h(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-660863)\/(-3075036) + (1\/(12\/3))\/(-1).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-6))\/((-1317)\/7902)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wowopeodo. Give prob of sequence pe.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - v - 25 - 13 = 0, 5*w + v = -64. Let p be w + 3 - (-3 + 1). Let g(z) = 14*z. Let a(k) = 5*k. Give p*a(r) + 3*g(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4540273 to the nearest integer?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2112 - -23?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-3) - (-1180)\/(-330)*-3\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101011010010000100 (base 2) to base 3.\nAnswer: -211022210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3383, -7, 1840.\nAnswer: -7, 2\/3383, 1840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4462*q - 1928*q + 1212*q + 3786*q + 575*q + (0*q + q - 2*q)*(0 + 4 - 2) - q + 0*q + 2*q.\nAnswer: 8106*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 8292911*p.\nAnswer: p*(p + 8292911)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 60*g. Let f be 2\/3 - 4\/(-12). Let l be y(f). Suppose l = 5*c - 20. Solve 3*k - c + 1 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.058895 and -59.3.\nAnswer: -3.4924735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1880 = 5*f, -4*q - 7*f + 1459 = -2*f. List the prime factors of q.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(2*(11 + -10)). Solve 5*b = -5*k + 30, -m = -2*k - 4*b + 3*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 divided by 5.\nAnswer: 118\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 126672\/(-390) - (-2)\/(-10). Let x = -1715 - -1179. Let j = z - x. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 1, q: 1, k: 1, f: 1}. Give prob of sequence qlkf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 2*k**2 + 23*k - 108. Let d be j(-6). What is the highest common factor of 784 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:55 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -22*x + 11*o - 8*o, 2*x + 40 = 11*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7069761656 to the power of 1\/5, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ujyjzjjujjjyuujjuzju?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 295591859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 3:33 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521*f**3 - 1043*f**3 + 524*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 113 in 3\/8, 3, 3\/5, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0*u**4 + 0*u**6 + 1\/2*u**3 + 0*u + 0 - 1\/10*u**5 - 3*u**2 + 1\/70*u**7. Factor q(b).\nAnswer: 3*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*52\/6*((-39)\/4 - -9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 7*i**2 - i + 7. Let z be p(7). Suppose 0 = -z*s + 2*s - 4. Sort 0, -2, s in descending order.\nAnswer: s, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.121626g in tonnes?\nAnswer: 0.000009121626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2267025532?\nAnswer: 2, 43, 13180381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 11:43 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Let m be z(2). List the prime factors of m\/8*18 - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/5))**(-15)*(s\/(s\/(s**5*s))*s)**(-5\/13) assuming s is positive.\nAnswer: s**(-191\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30991, -31660, -32329, -32998, -33667?\n\"Answer: -669*n - 30322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 - 22*d**2 + 26 - 63 in the form p*d + m + c*d**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3955 divided by 113.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1184 - 7016 = -27*y. What is the highest common divisor of 120 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b**2. Let k(f) = f + 96. Determine w(k(l)).\nAnswer: 11*l**2 + 2112*l + 101376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*t**3 + 45*t**3 - 2*t**2 - 16*t**4)*(-6*t - 5*t + 9*t).\nAnswer: 32*t**5 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 610*c - 605*c = -4, 5*z = -3*c - 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/338 + (1 - (-15)\/13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-1)\/(-2)*(-60)\/(-120)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Calculate the remainder when 2*2 + (-24)\/12 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12142 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*w + d, 4*w - d - 3*d - 12 = 0. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*s - 2788, -r + 580 = -4*s + 4. Let t = -557 + r. Solve -t - 22 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -15. Let j be (-249)\/w*2 + -2. Let u = -38 + j. Put u, 0.2, 0, -0.4 in ascending order.\nAnswer: -0.4, 0, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -153 at least -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -2 + (60\/78)\/(-5). Sort 4, 0.1, -5, k.\nAnswer: -5, k, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.406109 kilograms?\nAnswer: 3406.109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - n = -12, -p - n = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1333871.685 to the nearest one thousand.\nAnswer: -1334000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 320*u - 616. Let l be i(26). What is the highest common divisor of l and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7272 - 27*i**2 - 1768 + 30*i**2 to d*i**2 + w*i + h and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-96)\/(-648))\/((-10)\/(-8)). Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4171*i + 9146*i + 1835*i in the form v + y*i and give y.\nAnswer: 6810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -3 - 19 - -3) + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vee. What is prob of sequence ev?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x + 1. Suppose -9*k + 3*o - 3 = -10*k, -o = -5*k - 17. Let s(v) = 5*v + 1. Calculate k*u(i) + 5*s(i).\nAnswer: -5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -406*j + 420*j + 23198. Let l = j + 1661. Suppose -3\/2*v**2 + 11\/6*v - 2\/3 + 1\/6*v**3 + 1\/6*v**l = 0. Calculate v.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21296265 to the nearest integer?\nAnswer: 4615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-2 - 2) - 6\/(-2). Suppose 66 = f*u - 824. List the prime factors of u.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161665252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.10983 * 6\nAnswer: -0.65898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {x: 2, n: 2, t: 4, k: 7, f: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - ((3 - -38) + (-189 - -176))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1654.66 + -1609. Let j = 46 - m. Let p = j - 3.34. Which is the second smallest value? (a) -5 (b) 5 (c) p (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -0.13895317\nAnswer: 5.13895317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-2)\/(-15)))\/(98 - 88)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 87\/(-6) + 14 - 18\/(-4). Solve 4*w - 12*n = -16*n + 4, 4*w - f*n + 36 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 10*s + 280 = 0. Let h be 14\/11 - (s\/4 + -3). Let j = -827\/154 - h. Calculate the common denominator of j and -81\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17137 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6 - (-5 + 6\/(-18)). Suppose 11*b = c*b + 25. Let l(d) = d**2 - 5*d + 4. Calculate the remainder when b is divided by l(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 777 and -0.117342?\nAnswer: -91.174734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556359.\nAnswer: 3, 17, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 - 7*d**2 - 24*d - 22. Let q be m(-2). Calculate the greatest common divisor of 224 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/6 and -365 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -186788585349.7 and 0.\nAnswer: -186788585349.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -230.\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*c, -3*c + 5*c - 56 = -f. Let z = -4668 + 4685. Calculate the remainder when f is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 9. Let y = 17 - 14. Let z(b) = -3*b**2 + 3*b - 5. Let r(q) be the second derivative of -q**4\/6 + q**3\/3 - 3*q**2\/2 + 2*q. Determine k*r(p) + y*z(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s + 40. Let g(t) = t**3 - 9*t**2 + 8*t. Let p be g(s). Suppose p = 5*l + 16 + 4. Sort l, 4, 13.\nAnswer: l, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 29, -0.1 in decreasing order.\nAnswer: 29, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188) - (sqrt(1188) - (sqrt(1188) - (sqrt(1188) + -6*-2*sqrt(1188)) - sqrt(1188))))\/((sqrt(11) - 2*sqrt(11))*-6 - -1*sqrt(891)).\nAnswer: -26*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43398 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 105094?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 5*k**2 + k**3)*(3 + 2 + 6).\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/2 (b) -4 (c) -432 (d) 569\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25225633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 1057*f**3\/3 + 9*f**2\/2 + 2*f - 1. Let r be o(-6). What is r rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 + -120. Let g(x) = -17*x - 13. Let h be g(y). Sort h, -0.1, -5, -10.\nAnswer: -10, -5, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 6*g - 6. Let f be z(7). Let h be ((-3)\/(-2))\/((-1)\/(-2)). Let m be (-14)\/(-6) + h\/(-9). Which is smaller: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7966 - -8014. What is the greatest common factor of 5880 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 972656594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 c, and 1 q when three letters picked without replacement from {q: 2, r: 4, c: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -105800\/7 and -15113 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7*y - 3*y + 36 = 0, -f - 6 = 2*y. Let m(q) = 2*q - 6. Let d be m(f). Solve d*n = 7*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316578138 to the power of 1\/2, to the nearest integer?\nAnswer: 17793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -72.59 and 13.541863.\nAnswer: -59.048137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 9, 0*y - b = -y + 2. Suppose 4*d = -6*u + 4*u + 880002, -y*d - 5*u + 1100005 = 0. Round d to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 2*(-3 - -2). Let b = 4 + p. Calculate the remainder when 6 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*g - 27 = -231, -4*g - 8 = 0. Let o be (y\/21)\/((-1)\/(-9)). Let m = -1 - o. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29\/4 - 79\/12. Let h be ((-5)\/(-10))\/(2\/(-4)). What is the closest to h in 2, -2\/9, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (17 + 2\/2) - 40.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-23))\/m)\/m**(17\/4) assuming m is positive.\nAnswer: m**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*d - 47*d - 56460. What are the prime factors of d?\nAnswer: 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23019, -47871, -72731, -97605, -122499, -147419?\nAnswer: -172371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*g - 123*g - 856 + 857 + 238*g.\nAnswer: -18*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 8 + 1)*(-6 - 1 - 1)*(-o - 4 + 0*o**2 + o**2 + 9) in the form q + w*o**2 + f*o and give q.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f = -29*f + 121*f + 1170 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 13*i**2 - 3*i - 3. Suppose -k = -1 + 4, l = 5*k + 13. Does 25 divide f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -51*f - 135. Put f, 126, -2\/5 in increasing order.\nAnswer: f, -2\/5, 126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/(k*k**(-1\/6)*k*k))\/k)\/k*k)\/k**(-13) assuming k is positive.\nAnswer: k**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1464 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 + 5*f**2 - 5*f. Let b(z) = -2*z - 5*z**3 + 4*z - 11*z**3 - 2*z**2 + 15*z**3. What is -5*b(t) - 2*d(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c - 29 + 56 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010977240962 to 4 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = -10. Let b(s) = -s**2 + 10*s + 10. Let a be b(f). Is 3 - (-17 - (a - 1)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2084252, -4, 4 in decreasing order.\nAnswer: 2084252, 20, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0, -5\/4, 1\/6, 0.5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 10230640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*u + 1590, -1590 = -3*n + 3*u + 2*u. Is 11 a factor of (n\/(-30))\/(2\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gccccgcpgpcccggggc. What is prob of picking 2 c?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.12929 - 0.12929. What is the fourth smallest value in 795, 2, b, -2\/3?\nAnswer: 795","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 10 = -3*x + x, 0 = -2*d + 5*x - 24. Let n be (3584010\/(-35))\/(-2) - d\/(-14). Round n to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70522 (base 8) to base 15\nAnswer: -88e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 36*o**3 - 3*o**2 + 3*o + 2. Let p be (9 + -12 - (-5 - 0))*1. Let z be v(p). What is the greatest common factor of z and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(8\/9)\/b)\/(b*b**(-2\/3)))\/(b**(-4\/15)*b*b\/b**(19\/2)) assuming b is positive.\nAnswer: b**(659\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*w = 57*w + 2508 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 333 + -242. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.6 (b) 154 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*b**3 - b - 11*b**3 + b.\nAnswer: 31*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 276612122?\nAnswer: -276612117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 v when three letters picked without replacement from {x: 7, v: 5}.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - -80. Suppose -3*c = -x - 15, a = -0*c + 5*c + 4*x. What is the smallest common multiple of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1624180 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 25640?\nAnswer: 5128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 8*o**2 - o + 11. Let r be m(8). Let p = 17130 - 17129. Solve -2*l + 6 = 3*z - p, -5*l + 7 = -r*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjcol. What is prob of picking 1 c and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -2)*(-5 - -3). Let x be ((-1)\/1 - -2)*w. Let t be -3*x\/6 - -4. Solve -2*u + 2*q + 4 = 3*q, t*u + 3*q = 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 1. Let i be t(-4). Suppose 4*s + 52 = 5*o, 4*s - 7 = 2*o - 23. Solve -i*z + o = -13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 403. Let j(d) = -262*d**2 + 343*d**2 - 82*d**2. What is v(j(n))?\nAnswer: -2*n**2 + 403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*i + 2*i - 353 = 0, 3*i = -4*g + 466. Let o = g - 130. What is the second biggest value in -5, -2, -0.5, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14465\/43 - 100739\/301. Factor z + 4\/7*x - 12\/7*x**2 - 4\/7*x**3.\nAnswer: -4*(x - 1)*(x + 1)*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 2 + 0 + (-4 + 2 + 1)*(-4 + 6 - 3) + 1 - 4 + 1)*(-2*j + 5 - 5) - 5*j + 4*j - 4*j to the form l + v*j and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**2 - 3*i - 4. Suppose 4*w - 21 + 9 = 0. Let l(h) = -h**2 - w + 4 - 2. Let y(k) = -4*l(k) + t(k). Determine y(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/9)\/(b*b\/(b\/b**7))*((b\/(b**(-2\/7)\/b))\/b)\/b**(-4))**(-2\/9) assuming b is positive.\nAnswer: b**(286\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 7. Let t be a(5). Suppose 2*k + t*k = 52. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1213*m - 4 + 1213*m - 4*m**2 + 4. Let r(g) = -g + 46. Calculate k(r(o)).\nAnswer: -4*o**2 + 368*o - 8464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 11:16 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 18. Suppose -53 = -4*f - 3*j, f - k*f + 3*j = -59. Solve 3*a + 2*m + 14 = 0, a - f = 3*m + m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (4 + 1 + -9 + 0). What is the highest common factor of 68 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/7*n**2 - 9\/7 + 12\/7*n = 0. What is n?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*1\/(-10)*(-10)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4442.924mg to micrograms.\nAnswer: 4442924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 4, x: 1}. What is prob of sequence vx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.59 - -0.1.\nAnswer: -6.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2244 less than 2118.086?\nAnswer: 4362.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6399865 - 0.64. What is z rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-804)\/(-114) - -1) + (-40)\/760?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, j: 1, g: 4}. Give prob of picking 3 e and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(98) + -4 + -1 + sqrt(98) + 2)**2.\nAnswer: -168*sqrt(2) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0.4, 0.2, 0 in descending order.\nAnswer: 0.4, 0.2, 0, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Let k(l) = 3*l - 4. Let o be k(s). Suppose -5*b + o = -0, 3*b = -g + 41. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12883, 12909, 12949, 13009, 13095?\nAnswer: 13213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/6)*c**(-2\/9)*c)\/(c\/(c\/((((c\/c**(-3))\/c)\/c*c)\/c*c))*c*(c*c**(-6)*c)\/c*c) assuming c is positive.\nAnswer: c**(11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u = 4*b - 790, 0 = 4*b - u - 787. Suppose y - 2*p = -196, 0*y + y = -4*p - b. Is 13 a factor of y\/(-6) - 4\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29437 is divided by 126?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93? (a) 0.4 (b) 1 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)\/sqrt(3)*1 - (sqrt(4900) - 2*sqrt(4900)))\/((3*sqrt(1400) + sqrt(1400))\/sqrt(2)))**2 + -3.\nAnswer: -3953\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 - -156. Which is smaller: b or 4\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2940, -6018, -9148, -12348, -15636, -19030, -22548, -26208?\nAnswer: -30028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14819 + -8058. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 78 = -5*z, 2*z - 4*n = z - 2. Suppose -a + z = q + 3*q, -3*a = -q - 3. Find the third derivative of 2*d**a + 32*d**6 + 4*d**2 - 12*d**6 wrt d.\nAnswer: 2400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 d when three letters picked without replacement from hzzzhdzdzhddhh.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2173041 and 1476?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*d - 10 = 0. Suppose 2 + 7*r**2 - 3 - d*r**2 + 0 - 4*r = 0. What is r?\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 5*o**2 - 3*o - 3. Let s be p(-4). Let w(i) = -9*i**3 + 2*i**2 - 9*i + 23. Is w(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2 + 191 + 54 + 3*v**2 + 254*v - 55 - 449*v = 0?\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 - (1\/(-3) - 1\/24) and 69\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358833913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.31 - 24?\nAnswer: -30.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 46.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221834981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -264 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71424 and 755532.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 594 + 11*q + 594 - 13*q. Suppose 0 = -5*o + 22 + 13. Determine y(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -52. Calculate the lowest common multiple of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**19*y)**(-13) assuming y is positive.\nAnswer: y**(-260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = -30. Suppose y*x + 57 = 5*v + 22, 4*v - 10 = -2*x. Solve -v*k - 7 = -4*j - 3, 0 = j - 5*k - 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-192)\/48 + (5143 - -1). What is j rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 16*b - 14 + 19 + 12 + 23 - 4. Let d(o) = -2. Give -36*d(v) - 2*p(v).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 349735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + 2.96. Suppose o = -4*z + 15, o = 3*z - 4*z. What is the third biggest value in o, -2, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1053 - -31316?\nAnswer: 30253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + d. Let z(m) = -31*m**3 + 4*m + 26. Let q(c) = -4*p(c) + z(c). Differentiate q(h) wrt h.\nAnswer: -81*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(209) - 2*sqrt(209)*-3)*-6)\/(sqrt(44)\/sqrt(4)*-5 - sqrt(55)\/(sqrt(20)\/sqrt(4))) + 4)**2.\nAnswer: 56*sqrt(19) + 952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-10) - (-6)\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 244, 499, 764, 1039, 1324, 1619?\n\"Answer: 5*i**2 + 240*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49456*f**3*h + 3*f**3 + 2*f**2 - 10625*f + h wrt h.\nAnswer: 49456*f**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t**2 + 92*t - 207*t + 102*t - 2 to r*t + s*t**2 + p and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*i + i. Let o be (i\/8)\/(3\/24). Suppose -x = -o*x - 25. Put 4, x, 1 in ascending order.\nAnswer: x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*d = 17*d + 1635*d - 60576 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1599.699 + 1600.1820788. Let j = -0.54 - -0.057. Let v = j + n. Round v to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 + -117. Solve 2 = -n - m*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*g**3 - 30*g**3 + 2*g**4 + 8 - 8 - 4*g as d*g + y*g**3 + l + x*g**2 + s*g**4 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 45*u + 30. Let y be k(-23). Find the first derivative of -y*c + 27*c + 23 + 40 wrt c.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2151, -4304, -6457, -8610, -10763?\n\"Answer: -2153*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15 + 19 + -5)\/((-2)\/6). Let y(h) be the first derivative of -1\/7*h**a + 4 + 3\/7*h + 3\/14*h**2 - 3\/28*h**4. Solve y(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 0, 2*c - 3*c - 9 = -3*n. Suppose 9*t + 97 = 349. Suppose 7*j + 0*j - t = 0. Solve -i - 2*i - 2*x = 7, -5*i + n = -j*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + i + 7. Let j be v(0). Calculate the greatest common divisor of j and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 625364 (base 11) to base 13\nAnswer: 2914cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-22)*-7*(73710\/(-637))\/135?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1639 + 1624. What are the prime factors of j?\nAnswer: 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*m + 16. Suppose -2*z - 96 = -5*z. Suppose -7*q - z = -m*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553068.\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365789.\nAnswer: 17, 21517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19527 plus -859.88?\nAnswer: -20386.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxgxxxxgxxgxgxx. Give prob of sequence gxg.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t - 218. Let g be o(-44). Solve 4*q = 4*m - 0*m, -4*m + 3*q - g = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-152)\/22) - (-34)\/(-6460)*-20. Let d = -2 - -2.2. Which is the nearest to 0? (a) w (b) -13 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 1, o: 2, y: 1, l: 1, c: 1}. What is prob of picking 1 t and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22981784?\nAnswer: 2, 7, 23, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 16833*g. Let y(u) = -8*u + 3. Give y(f(r)).\nAnswer: -134664*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a factor of 7594425300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -197 - -555. Let t = 417 - b. What is the greatest common divisor of t and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -22. Suppose -2*w = -o + w + 13, 3*w = -15. Which is the third biggest value? (a) o (b) 2\/19 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14183739 greater than 14183739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + 4*a - 2*a + 2*a + a + (0 - 1 + 2)*(2*a + 1 - 1) + 2*a + a - 2*a - a + 10*a + 2*a)*(2*a + 0*a + 2*a).\nAnswer: 76*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/37 + -45\/74. Let y = -0.4 - -10.4. What is the third biggest value in 0.5, y, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 - -1888\/13. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177678097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 + 132. Let d be -4 + 2 - 0 - -6. Calculate the highest common divisor of d and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-1153.\nAnswer: 576.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 7*y - 6. Let t be f(-8). Solve -2*n + 20 = t*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11)\/b*b*b**10)\/(b**(-1\/8))**(-19) assuming b is positive.\nAnswer: b**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - 7143705?\nAnswer: -7143676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 26. Let w be k(20). Does 5 divide 1038\/42 + (-4)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3450 and -1.2.\nAnswer: -4140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 661 - 298. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173748 by -3.\nAnswer: 57916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -1. Let m(f) = f + 2. Determine -9*g(j) - 4*m(j).\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/9 in 0.4, -0.126, -2, 2\/23, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/(-2)*(12 - 14). Suppose i = -3*c + 17. Let k be (-12 - -11)\/((-1)\/10). Solve c*u + 0*u - k = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 7*y - 6. Let s be t(-4). Let d = s + 6. What is the nearest to -2 in 4\/3, d, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 734689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104.68 + 107. Let i = k + -15.42. Let h = -13 - i. Sort h, -4, 3 in decreasing order.\nAnswer: 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2446*q + 2 - 1211*q - 1801*q)*(0*q + 0*q - 3*q) to the form x*q**2 + o + h*q and give x.\nAnswer: 1698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Suppose -g + m*g = -3. Differentiate 1 + 2 - 3*s**g - 2 - 4 with respect to s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**6\/10 - 3*j**5\/10 + 3*j**4\/4 + 4*j**3 + 6*j**2 + 20*j. What is s in c(s) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 - 3 + 3)*(0*t + 0*t + 4*t**2) + 0*t**4 - 6*t**4 - 25*t**4.\nAnswer: -51*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1229*a**3 + 1232*a**3 - 2460*a**3 - 61*a + 2*a**4 - 72*a - 2 + 1 to n*a**2 + d*a**3 + f*a**4 + g*a + w and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120291841 is divided by 799.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 62*v + 348. Determine q(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 - 2*a + 5*a**3 + 4*a**2 - 10*a**3 + 12*a**4 - 6*a**3 to the form j + v*a + l*a**4 + r*a**3 + x*a**2 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 16, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224627, 449257, 673891, 898529, 1123171, 1347817, 1572467?\nAnswer: 1797121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x + 446 = -4*x - 13 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12081807 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -656*v**2 + 91*v**2 + 124*v + 514*v**2 as k + y*v**2 + r*v and give r.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*v**3 - 96693*v**2 + 309300*v - 231948.\nAnswer: 3*(v - 6443)*(v - 2)*(5*v - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*a + 3*a. Let f = -13.95 - -0.95. What is the third smallest value in a, f, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 84\/(-27) + 3 + 18\/(-162)*-109. Solve -33*c = k*c + 315 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1333254071 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 2 - (-9 + -1). Let g = 37 + -23. Is g at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 11 - (-8 - 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346\/4 - ((-40)\/(-16) + -10 + 7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532309839 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 12:49 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 + 5*t**2 - 6*t**2 + 2*t**2 - 3*t**2 + 0*t**2 + (-10*t - 3*t + 4*t)*(-6*t + 5*t + 5*t))*(7*t - 2*t + 3*t).\nAnswer: -264*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/12 (b) 1 (c) -0.4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099 divided by 4?\nAnswer: 1099\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m - 106 = -1711 - 352. Solve -m - 153 = 64*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4995 and 9657?\nAnswer: 144855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12913\/3 + -4305. Let t = -0.05 - 0.05. Which is the biggest value? (a) t (b) l (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 + 0.4. Let m = 4.4 - s. Let h = -0.5 + m. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -353*z + 283 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33112 - -10310?\nAnswer: 110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024)*-1 + sqrt(3024))\/(sqrt(300)*-2 - sqrt(300)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229\/177 - 22\/59. Suppose 3*u + 2 + 1 = 0. Let n = u - 1. Is n at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.1 less than -88109431?\nAnswer: -88109364.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103\/7 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 44 + -16 + -5 - 5\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4*1 + (1 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6232960117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -24*t. Let n(y) = -2*y**2. Determine n(c(u)).\nAnswer: -1152*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 1\/7 (c) -1 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -3, -18, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - 5*q**4 + 2*q**4)*(q + 0*q - 2*q) - 12 + 28*q - 29*q + 19*q**5 + 12510*q**2 - 12509*q**2 - q**3.\nAnswer: 21*q**5 - q**3 + q**2 - q - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -502 rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/2 - -2*(-426)\/1968 and 21\/16?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*o + 52, -4*k = 4*o - 16 - 16. Solve 0 = -6*w - 1 - o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 564 - 533. Which is the smallest value? (a) -5 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-22))\/(((-252)\/(-2478))\/(-6)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 2)*(-3*p + 3*p - p**3) + 3*p**3 - 3*p**3 + 3*p**3 to the form o*p**3 + n*p**2 + l + k*p and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 7*d**2 + 4*d - 2. Let z be r(6). Let j be (-30)\/z - 3 - -2. Factor -2\/7*h**2 + 0*h + 6\/7*h**3 + 0 + j*h**4.\nAnswer: 2*h**2*(h + 1)*(4*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -22*q**2 + 23*q - 12. Let a be t(4). Is a <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 15?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -23*p. Let c(s) = -2*s**2 - 163*s. What is c(j(l))?\nAnswer: -1058*l**2 + 3749*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - 3 - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154.13 - 154. Put w, -1\/5, -0.05 in decreasing order.\nAnswer: w, -0.05, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = o + 192, 6 = 2*n. Let q be (-2)\/(-1) + 2 + o\/54. Let h = 22 + -40. Which is the biggest value? (a) h (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*c + 5 = -0, 2*c - 26 = -4*m. What is the remainder when 9 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-1)*r)*r*r\/(r**3*r)*r)**(-1\/25) assuming r is positive.\nAnswer: r**(1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6)*(j*j**(-1\/8))\/j*j*j*j\/(j\/j**(-2\/15)*j*j)*j**(2\/19)\/j*(j**1\/j)**49*j**2*j*j\/(j*j**(2\/3)) assuming j is positive.\nAnswer: j**(-3663\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -72811, -72864, -72933, -73024, -73143?\n\"Answer: -k**3 - 2*k**2 - 40*k - 72768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 34. Calculate the common denominator of 137\/6 and 0 + h - 228\/80.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1107 and 514971.\nAnswer: 21113811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -27*o**2 + 4. Let k be d(3). Let w(a) = -17*a - 1231. Let t be w(-49). Let r = k - t. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.027 - 42.973. Let l = 43.00000026 + j. Round l to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76041780 divided by -1.\nAnswer: 76041780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-72)*(-4)\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*b**2 - 198*b**2 + 67*b**2 - 249*b**2 + 266*b**2.\nAnswer: -373*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 2*w**2 + 11*w + 3. Let v(i) = i**3 + 3*i**2 - 8*i - 4. Let a(n) = -3*v(n) - 2*y(n). Let z = 8 + -12. What is a(z)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3184, 15 in descending order.\nAnswer: 3184, 15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of ((-3)\/1)\/(68\/(-106556))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**9\/3024 + t**7\/840 + t**3\/2 + 3*t. Let r(j) be the second derivative of h(j). Determine u so that r(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-3*sqrt(204) - (sqrt(204) - -2*(sqrt(204)*-2 - sqrt(204))))\/((sqrt(72) - -2*sqrt(72)*3)\/((sqrt(240)\/sqrt(4))\/sqrt(10))))**2.\nAnswer: 272\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 248\/558 + 41\/9. Which is the nearest to -2? (a) -2 (b) v (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + (sqrt(832) + sqrt(832) + -2)*5 + sqrt(832))**2.\nAnswer: -1920*sqrt(13) + 119908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uauuuuaaaauaaaau. Give prob of picking 3 u.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(1\/14)*r)*r)\/(r*r\/r**(6\/5)))\/(r*r**(1\/6)*r*r**23\/r) assuming r is positive.\nAnswer: r**(-2629\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 37 + -23 + -44.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 544, 1, 4, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87384, -22, -174 in ascending order.\nAnswer: -174, -22, 87384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8223.14 rounded to the nearest 10?\nAnswer: -8220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99291 is divided by 201?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5))**46*t**(-4\/9)\/t**6 assuming t is positive.\nAnswer: t**(124\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t. Let p(l) = 91*l**2 - 44*l**2 - 75*l**2. Determine u(p(s)).\nAnswer: -112*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90642 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4059\/(-28413))\/(2\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**6\/15 - 3*i**5\/5 + 13*i**4\/6 - 4*i**3 + 4*i**2 + 3*i - 2. Let f(l) be the first derivative of g(l). What is m in f(m) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/1193?\nAnswer: 14\/1193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4668*b**3*n**2 + 730*b**3*n - 7*b**3 - b**2*n**2 wrt n.\nAnswer: 9336*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + -4 + (sqrt(11)*-1 + sqrt(11))**2 + -1.\nAnswer: -5 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*t = 0, 2*t + 20 = -5*j + 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12371114*n**5 + 4790041*n**2?\nAnswer: -742266840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 0.2 (c) 16 (d) -0.4 (e) -322 (f) 1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 - 230 - 183)*(113 - 113 - 3*b**2) to a + w*b + c*b**2 and give c.\nAnswer: 1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433.455l to millilitres.\nAnswer: 433455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1082 + -653. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 12:12 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/((-1)\/6). Suppose 3*w = -15, -o*u - 2*w + 3*w = -5. Suppose u*k - 2*k = -8. Solve -k*y + 16 = -0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 18*k**2 - 21*k - 2. Let t be a(17). Let z be (-45)\/(-7) + 30\/t. Solve z = 4*f - f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b2b (base 14) to base 4.\nAnswer: 3320223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-28))\/(8\/(-16)). Let i(a) = -2*a**2 - 5 + a**2 + 4. Let d be i(0). Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -610, -1\/10, 9, -0.011?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*n + 2*n - 4 + 0 - 1 - 5*n**2.\nAnswer: -5*n**2 + 44*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -56, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 123, 127, 131, 135, 139, 143?\n\"Answer: 4*o + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(133)\/sqrt(63))*-4.\nAnswer: 8*sqrt(19)\/3 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27627 + -27617. Calculate the lowest common multiple of 404 and b.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3286091403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*q**2 + 12*q - 3 - 1 - 99*q**2 - 6 - 11*q to z*q**2 + v*q + f and give z.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 334, 1345, 3038, 5419, 8494, 12269, 16750?\n\"Answer: x**3 + 335*x**2 - x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:14 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -3*a**2\/2 - 48. Let d(p) = 170*p**2 + 50*p. Let x(n) = -10*n**2 - 3*n. Let h(b) = 6*d(b) + 100*x(b). Determine h(j(u)).\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3+8930\nAnswer: 8927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76091949?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**4\/24 + 5*c**3\/6 - 1110*c**2. Let o(x) = 1 + 6 - 3. Let f(n) = 3. Let p(l) = -6*f(l) + 5*o(l). Calculate 5*p(k) - 2*t(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/5)\/(-1)*(-4)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**5\/80 - a**4\/24 + 7*a. What is l in k(l) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*v**3 - 1195*v**3 + 686*v**3.\nAnswer: 109*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 1, b: 2}. What is prob of picking 1 l and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = 3*t - 3*z, -4*t - 2*z = -12. Let r = t + 0. Let m(l) = 180001*l**2 - 1. Let q be m(r). Round q to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b - 6. Let a be (5 - 1)\/(-127 + 125). Give q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 156812058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let h(n) = -7*n**2 - 5. Suppose -5*v = 6 - 16, 0 = -2*l + 5*v - 14. Let y(p) = -3*p**2 - 2. Let g(q) = l*h(q) + 5*y(q). Calculate k(g(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/6, 0.119, -0.091, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 79 = 3*g - 55, -195 = -3*c - 3*g. What are the prime factors of c?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -111. Let g(a) = -3*a - 20. Let u be g(-8). Suppose 9*z = 11*z - u. Solve -2*w = z*w - k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) -137 (c) 0.08 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 17*m = 4968. What is the second derivative of 14*b**3 + m*b + 83*b**3 - 398*b + 125*b**3 + 19*b**3 wrt b?\nAnswer: 1446*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.23, 27, -1\/7, -16\/9?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2006, -2002, -1994, -1982, -1966?\n\"Answer: 2*v**2 - 2*v - 2006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -1 in ascending order.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x. Let s(f) = 2*f**2 - 61. Calculate q(s(g)).\nAnswer: 10*g**2 - 305","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 736, 2, -1, 3237, -2, 4, 3 in decreasing order.\nAnswer: 3237, 736, 4, 3, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -11 (c) -0.2 (d) 12 (e) -5 (f) -0.08 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72 - 180?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 22*q + 13. What is h(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 133.\nAnswer: -5\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*2 + 0\/41. Let f be (-1)\/(-2) + (-69)\/(-2). Suppose 0 = -3*s - 5*v + 108, v + 73 = 3*s - f. What is the highest common factor of x and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 3. Let g be z(-2). Let i be 20\/5 - (-1 + g + 1). Let q = -4.09 + 0.09. What is the smallest value in i, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.026 + -32.026. Let l = -31.9938 - q. What is l rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*q - 2*q = 18600, -f - 4*q = -4675. What is the greatest common factor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767.735 take away 1580?\nAnswer: -812.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15949\/766 + 9452890\/4979. Let l = 1879 - c. Find the common denominator of l and -37\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*((-2 + sqrt(128) + sqrt(128) + -5 - sqrt(128)) + sqrt(128)) + 0 + 3 + (sqrt(128) + -2)**2.\nAnswer: -112*sqrt(2) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4284.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1. Let i(s) be the second derivative of -5*s**3\/6 + 5*s. Let j(r) = -i(r) + 2*u(r). Let d be j(7). Solve -5*y + 3*x = -x, 2*y + 5*x = -d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47 and -0.1124?\nAnswer: 5.2828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 + 3*y**4 - 4*y**4 + y + y**2 + 2 - 3*y in the form p + r*y**3 + h*y + m*y**2 + o*y**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 137145042 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 i(u) = 4*u**2 - 38*u + 70. Determine i(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 0*z - 11 = g, 0 = -2*g + z + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neenne. Give prob of sequence eeen.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 304080 divided by -140\nAnswer: -2172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*h**2 + 45*h**3 - 88*h**2 - 144*h**2.\nAnswer: 45*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/5)\/((-6)\/20). Suppose 12 = k*v, 0*v = i - v + 3. Suppose -4*m = -i*m - 20, 0 = f - 3*m + 16. Sort f, 4, 2 in decreasing order.\nAnswer: 4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 - 0.7. Let s = -55 - -55.4. Sort n, s, -3 in descending order.\nAnswer: n, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66437.721us in hours?\nAnswer: 0.0000184549225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f = 44*f - 5. Solve 5*c + f = -3*d - d, -3*c - 25 = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 25*v**2\/2 + 105*v - 222. List the prime factors of j(11).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 2*c - 5*c + 4*c. Let i be (-8)\/6*(-12)\/8. Let h(d) = -6*d**2 + 2*d**2 + d**i. Determine h(x(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 58*v**2 - 225*v + 531. What are the prime factors of b(64)?\nAnswer: 3, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 - (-50 - 2 - -42)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 203 + 82 = -b, -2*b + 286 = x. What is the lowest common multiple of 9 and b?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 1, a: 14}. What is prob of picking 1 p and 1 l?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382, 169, 720, 1271, 1822?\nAnswer: 2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**4 + 8*w**4 + w**2 + 2*w**3 + 2*w**2 to k*w + h*w**4 + v*w**3 + u*w**2 + z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*(c**1\/c)\/c*c)))\/c**(2\/13))\/((c\/c**(-4\/3))\/c**3) assuming c is positive.\nAnswer: c**(59\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 264812729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1362\/(-9534) + 316\/350 + -1\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.39 + 0.3. What is j rounded to one dp?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 - 72 + 2*l**2 + 7*l**4 - 74 - 2*l - 75 + 220 in the form t*l**4 + v*l**3 + o*l + u + b*l**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-10)*(-7)\/((-63)\/(-24))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1946 + f**3 - 2294 + 1132)*(4 - 2*f - 4).\nAnswer: -2*f**4 - 1568*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/299 in -393, -2, 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-132)\/(-63)) + 32\/84.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/30 and 484\/(-9)*(33136\/(-4736) + 7)?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m + 102 = -65*a + 123*a - 57*a, 0 = -a - 2*m + 30 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a. Let l be (-4 + 8 + -6)\/((-4)\/74). Let d = -3 + l. Let k(w) = -12*w - 13*w + d*w - 14*w. What is -3*k(y) + 4*u(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*g**3 - 451*g*z**2 - 89361*z**2 + z wrt g?\nAnswer: 114*g**2 - 451*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 - 31\/(-4). Let j(a) = a**3 - 8*a**2 + 4. What is the units digit of j(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90598 divided by 6.\nAnswer: 45299\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 11*s**2 - 12*s. Let i be d(12). Suppose h + 5*y + 4 = 4*y, -2*h + 2*y = i. Is 8 a factor of ((-17)\/h)\/(1\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-7\/3)*g**(-12))\/(g**0)**(2\/3))**12)**(13\/2) assuming g is positive.\nAnswer: g**(-1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37500 and 3125?\nAnswer: 37500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (8 - 9) + (3 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = u + 2*s, -5*s = -2*u - 17. Let x be (2 + -2)\/(2 + u). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -1. Let o = n + -0.2. Let y = -6 - -5. What is the second smallest value in o, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 10:53 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 11*v**2 + 11*v - 11. Suppose 389 - 293 = -8*n. Determine x(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50220 by -31.\nAnswer: -1620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 190*u**3 - u**2 - 1. Is r(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4\/7 + 42*p**3 - 788*p**2\/7 - 2112*p\/7 + 1216\/7 = 0. Calculate p.\nAnswer: -76, -2, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-1 + 0)*1. Let g(d) be the second derivative of 0*d**3 + 1\/10*d**5 + z*d**4 + d + 0 + d**2. Differentiate g(u) with respect to u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*d = -1809 - 214 + 564 - 6341 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 373 + -1863\/5. Sort -3, n, -59, 0.1.\nAnswer: -59, -3, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 347 - -1952. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1717921\/335 = -5127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/6072 and 107\/14352?\nAnswer: 157872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - x**2 + x + 1. Let m(c) = -6*c**3 + 3*c**2 + 12*c + 13. Let a(q) = 5*i(q) - m(q). Calculate the remainder when a(9) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 176*i**2 - 22*i - 4316. Determine v(-88).\nAnswer: -2380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4b9b (base 14) to base 10\nAnswer: -13269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**0)**(-26\/9)\/(r*r**0*r\/(r\/(r\/(r**(-2\/9)\/r*r)))) assuming r is positive.\nAnswer: r**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7943 - 6518. Calculate the remainder when t is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 377 times 0.5\nAnswer: 188.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 + 5*s + 6. Let k be (45\/6)\/((-15)\/(-12)). Let a be 24\/56 - 76\/14. Let w(f) = 3*f**2 + 4*f + 5. Calculate a*g(u) + k*w(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*t - 24*t**4 + 81*t + 17*t**4 - 220*t**4 + 57*t**4 wrt t?\nAnswer: -2040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from qzgnizqzzzzkkz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 31 = 4*w, 5*w - 6 = 5*v - 1. Let b(m) = 7*m - 8. Let k be b(v). Differentiate 2*g**2 - g**2 + k + 6*g**2 + g**2 with respect to g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 13*i**2 + i. Let f be n(-1). Let s = f + -12. Let z(u) = u + 2. What is the smallest common multiple of 6 and z(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/165 - (-19)\/(-30)) + 1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -2\/5*p**3 + 1\/10*p**4 + 0*p + 11\/100*p**5 - 3\/100*p**6 + 2*p**2 + 0 - 9\/350*p**7. Factor j(n).\nAnswer: -3*(n + 1)**2*(3*n - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 524614211 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 2*j**2 - 102002*j - 33 + 102179*j + (-1 + 1 - 2*j)*(0 + j + 0) to r*j + y*j**2 + t and give r.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0336735 take away 8307819?\nAnswer: -8307819.0336735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18619 - -18623. What is the biggest value in 0.14, -53, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/347 - -17007\/1388. Find the common denominator of j and 35\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 6*q**2 - 5*q. Calculate the lowest common multiple of a(3) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:11 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*z + 5*o, 12 = -4*o + 8. Sort z, 62, -4 in ascending order.\nAnswer: z, -4, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 274393.\nAnswer: -109757.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -78, -60, -24, 36, 126, 252, 420, 636?\n\"Answer: m**3 + 3*m**2 + 2*m - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(22)\/sqrt(2))**2 - ((sqrt(11) + sqrt(176) - sqrt(11) - sqrt(11)) + -4).\nAnswer: -3*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12214501 + 14?\nAnswer: 12214515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 169455037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88502 divided by -16.\nAnswer: -44251\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5, 60\/77, -2?\nAnswer: 60\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1)*(-4*m**3 + m**3 + m**3)*(0 + 5 - 4)*(-3*m + m + 4*m) as q + l*m**4 + p*m**2 + r*m**3 + i*m and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2055)\/(-75) - (-3)\/5.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 9*r + 4. Let l be 1\/((-1)\/10*-2). Let x(y) = 3*y**2 - 8*y + 5. Let a(v) = l*w(v) - 4*x(v). Let p(c) = -c**2 - 6*c. Give -6*a(g) + 13*p(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 6*b**2 - 3*b + 7. Suppose 0 = 5*k - 40 + 15. Calculate the remainder when 32 is divided by g(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250177857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3. Let s be (549\/(-60))\/(-3) - z. Let j = 13\/10 - s. Which is the closest to -0.1? (a) 0 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/5)*(o**(2\/7)*o*o)\/o)\/((o*o\/(o\/(o\/((o**13*o*o)\/o)*o*o)))\/(o\/o**(-5\/6)*o)))**(-12) assuming o is positive.\nAnswer: o**(-6182\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Suppose -h + m*d = 5*d - 206, -5*h = -4*d - 1059. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4276515 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(544)\/sqrt(2) + sqrt(68)\/sqrt(16).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 2*r**2 - 3*r**2)*(r**2 + 2*r**2 + 0*r**2).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30832 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -a + 5*p, 4*p + 6 = 4*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**6\/420 + q**5\/28 - q**4\/2 + 65*q**3\/2 + 197*q**2. Let d(h) be the first derivative of w(h). Factor d(j).\nAnswer: 6*(j - 2)*(j + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 509*y.\nAnswer: y*(y - 509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-21) - 178\/(-14). What is the highest common factor of n and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, v: 2, b: 4, c: 9}. What is prob of picking 1 v and 2 c?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4\/7))\/x**(3\/4) assuming x is positive.\nAnswer: x**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - -8.01. Let k = 4 - v. Let o = 3.8 + k. Which is the nearest to -0.2? (a) o (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/4 + 310353*r = 0. What is r?\nAnswer: 0, 1241412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.25 - 0.25. Let o = -8 + 0. Let z = o + 7. Put z, 4, f in increasing order.\nAnswer: z, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 + -50. What is the remainder when l is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.34 - 16.84. Let a = -16 - v. What is the smallest value in -1\/11, a, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 0.5, -0.24, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5065*z - 288 = 5353*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -176, 0.3, 1\/22, 0.5?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 90. Put o, 0, -0.5 in increasing order.\nAnswer: o, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than or equal to 481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 1 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1 + 0*q + 23*q - 1 + 1. Let s be t(4). Suppose 9*n + 49 = 14*n - 4*d, -2*n - 4*d = -42. Calculate the greatest common factor of n and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 18*g = -54*g + 27, 4*x + 24 = 4*g + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 1643?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*m + 2*l, -2*m + 2*l = -5*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 8. Let j(d) = d**3 + 3*d**2 + 2*d - 1. Let o be j(g). What are the prime factors of (-430)\/o - (-2)\/(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -20*a**2 + 753*a + 6. Let z(l) = -23*l**2 + 752*l + 7. Give 7*m(s) - 6*z(s).\nAnswer: -2*s**2 + 759*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18 + 3*n**2 + 15*n - 55*n - 206 + n**2.\nAnswer: 4*(n - 14)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*l, 2*f + 3*l = 7*l + 10. Solve 4*u + 3 = c, 2*u + f = 4*c - 5*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -1 - (-6)\/2. Let r = 59 + -52. Let p be (r - 11)*(-1)\/2. Solve -2*m = -10, 2*o - p*m = -o - j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {d: 1, h: 3, s: 2, m: 3, c: 1, e: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8*p + 6503 = 5*w, -2*w + 2591 = -5*p. What are the prime factors of w?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-4)*(-3 + 7). Solve 0 = -w*m + 4*q + 20, -4*m = 5*q + 10 + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8655227759 - -8654443584.000064. Let u = h + 784200. Let y = u - 25. What is y rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11606358*t - 12014066 with respect to t.\nAnswer: -11606358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 24 + 42 = 0. Let g = -3 + w. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 880.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/20 + 3\/10. Let a = -3 + 5. What is the nearest to 1 in -0.5, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042391 to four decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 - 4*j + 4. Let t be a(2). Suppose -t*x = -10*x + 92. Find the common denominator of ((-22)\/33)\/(4\/8) and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**2 - 89*h**3 + 5 - 82*h**3 - 2*h - 4 + 169*h**3 in the form d*h + b*h**3 + i + g*h**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -19*o**2 - 228*o + 14. Calculate k(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10739533 minus -0.3?\nAnswer: 10739533.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 69*j**4\/2 + 8*j**2 - 5*j + 510. Find the second derivative of r(n) wrt n.\nAnswer: 828*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 + 57*p - 36. Give h(17).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1094143449 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + 0 - (-24 + 5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -733 divided by -1?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1465075, -2930156, -4395237, -5860318?\nAnswer: -7325399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -831159*w**3 + 4*w**2 - 71650*w.\nAnswer: -4986954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i + 19. Let k be x(-4). Let m = k - -48. Solve 0 = -u + 4*u + m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(sqrt(80)*-1)**2 + 3*3*(sqrt(5) + (sqrt(20))**2*3).\nAnswer: 9*sqrt(5) + 1340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 4. Let c(p) = -p**3 + 3*p**2 + 2*p + 8. Let t be c(4). Let j be d(t). Let z be -1 - (j - (-1 + 76)). What is z rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -25*o**4 - 4*o**3 - 3*o + 91. Let r(m) = 2*m**4 - 2*m**3. Let f(c) = k(c) - 2*r(c). Find the second derivative of f(z) wrt z.\nAnswer: -348*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 6. Let s be n(5). Suppose s*g = q - 0*q + 20, 3*q - 12 = 0. Let -2*z**3 - 15*z + 7*z**3 + 6*z - g*z - 10 = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**3 + z**2 + z - 3. Give f(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(10\/3))\/k)\/k)**(-2\/15)*((k\/(k*k**(-10)))\/k)**26 assuming k is positive.\nAnswer: k**(10516\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519277.5 rounded to the nearest 10000?\nAnswer: 2520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 193 = 0. What is the second derivative of 6*j - 193 + w + 8*j**4 wrt j?\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 480, 474, 464, 450, 432, 410?\n\"Answer: -2*r**2 + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 - 2*h - 9. Let z = -66 - -88. Let c(o) = -8 + 18*o + z*o + 3*o**2 + 0 - 42*o. Let d = -13 - -6. What is d*c(u) + 6*i(u)?\nAnswer: 3*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -196447469.93 and 0.1.\nAnswer: -196447469.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75760199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 159*d**3 + 104*d**2 - d**4 + 219*d**3.\nAnswer: 4*d**2*(d + 2)*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 4) in base 8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -36*t**5\/5 - 10*t**3\/3 + 123*t**2 - 867. Find the second derivative of s(d) wrt d.\nAnswer: -432*d**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42027160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 12:24 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*l = -0*h + 14, -5*h = 5*l + 25. Let a be (4\/(-3))\/(2\/h). Suppose 0 = -a*j + 6*j - 20. Solve j*f = -1 - 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/12)\/(-20 - (-100674)\/5032).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13 and -30105.0116323?\nAnswer: 30118.0116323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*y**2 - 163*y**2 + 40*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 2*u + 8. Let v(t) = 2*t**2 + 16*t + 18. Let b be v(-6). Determine c(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**0\/(l\/((l\/((l**(-2\/37)*l*l)\/l))\/l)) assuming l is positive.\nAnswer: l**(-72\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 13161552*o + 10826653190544.\nAnswer: 4*(o - 1645194)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*j - 33. Let 2*t**3 - 3*t**3 + 12*t + 27*t**2 - 40 - 3*t**2 + j*t**3 = 0. Calculate t.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 52 = -12. Let c be (0 - (-3 - z))*-14799999. Let p be c + 4 + 0 - 3. What is p rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4058)\/(-38) - -1) + (-2808)\/(-13338)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/60 + 2*g**4\/3 - 8*g**3\/3 + 6*g**2. List the prime factors of y(11).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137031703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00594788442 to seven dps.\nAnswer: -0.0059479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/27880298 and 1\/398?\nAnswer: 27880298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*-3)\/((-1*sqrt(36))\/sqrt(9)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-47) + 15400\/(-21714).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111465337?\nAnswer: 23, 59, 82141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 469 + 819. Calculate the highest common divisor of 24 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10 + 6)*2\/4. Let o(p) = p**2 - p + 2. List the prime factors of o(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1461 by -487.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9874 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -12*p**2 + 44*p + 24. What is j(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -713, -2851, -6413, -11399?\nAnswer: -17809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(4) + -1*sqrt(1200) + sqrt(1200) - ((-2*sqrt(132) + sqrt(132) - sqrt(132))*-3 - sqrt(132) - sqrt(132))\/(sqrt(176)*1).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 - -88 - (-58 - -10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, b: 7, a: 2}. What is prob of sequence bx?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45951?\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -303 - -319. What is the remainder when 202 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + -2 + (-5 - -6) + (24 - 9).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -4 in increasing order.\nAnswer: -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1270, -2534, -3786, -5020, -6230, -7410, -8554?\n\"Answer: t**3 - 1271*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-3 + -4*(0 + sqrt(147)))*4)*4)**2 + 4.\nAnswer: 50176*sqrt(3) + 605252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 8:49 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15236944 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 1 y when three letters picked without replacement from ywzsyzxk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -419 + 1255\/3. Are r and 71 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/49, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**3 - 2*t**2 - 2*t - 2. Let w(d) = 21*d**3 - 7*d**2 - 7*d - 7. What is -21*n(z) + 6*w(z)?\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 6*s**2 + 7*s + 10. Let z be m(-7). Let c = 7 - z. Is 23\/4 - c\/12 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 501*536720\nAnswer: 268896720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from {o: 7, k: 6, e: 4}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/10)*k**(-1\/7)\/k*k*(k**(-11)\/k)\/(k\/(k\/k**(4\/15))*k*k*k))**13 assuming k is positive.\nAnswer: k**(-42887\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 23 + -14 + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-1)\/3 + 13. Solve 4 + o = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26718 rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -182164 + 5?\nAnswer: -18215c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7191 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c + 20 = 0, 5*c + 3610 = 5*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + 1*-3*((sqrt(700) - ((sqrt(700) - (1 + sqrt(700) + sqrt(700))) + 2)) + sqrt(700) + sqrt(700) + 6*3*sqrt(700)))**2.\nAnswer: -11880*sqrt(7) + 3049281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1368477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 4. Let t be r(0). Suppose x - 1 = 2*b, -b - t = -5. Suppose -x*w - w + 92 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3206 - -3440. Calculate the remainder when 15208 is divided by l.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 105725 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1495*h**2 + 1290*h**2 + 808*h**2.\nAnswer: 603*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4878, -5286, -5944, -6852?\n\"Answer: -125*n**2 - 33*n - 4720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 5, -59, -27 in increasing order.\nAnswer: -59, -27, -25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 2*y - 15 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*h + 1 = 0, -5*c + 4*h - 1 = -0*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 558907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 1. Let y be s(2). Let i be (-12)\/y + (-2)\/1. Suppose -19*v = -60*v + 182 - 2560. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506376348.\nAnswer: 2, 29, 12986003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 17*a - 17*a + a**2. Suppose -3*x - 7 = -1, 0 = -4*u - 3*x - 2. Let i(r) = -4 + 5 - u - 6*r. Calculate h(i(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04389 + -0.25611. Which is the fourth smallest value? (a) 2\/17 (b) 10 (c) 3 (d) s (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**5 - 470*d**4 - 15*d**3 + 1400*d**2 + 940*d = 0.\nAnswer: -1, 0, 2, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x**15*x))*x**(-11))\/(x\/x**(-15)*x**(-1\/7)\/x))**24 assuming x is positive.\nAnswer: x**(-1488\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 14*t + 2. Let j(n) = 10*n**2. Calculate k(j(y)).\nAnswer: 140*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 11:20 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15606 divided by 3.\nAnswer: -5202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 22 (c) 254.95 (d) -5 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 15*i**2 + 51*i + 368. Calculate k(-8).\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 + -125?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 15*l**2 - 8*l + 5. Let o be r(0). Suppose -3*n + 49 = 13. Solve -u = -o*u + n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*q - 53694 = 17*q. What is the highest common factor of 30 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104442 + -20?\nAnswer: -110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*n - 63*n = 160. Put 4, 2, 0, n in decreasing order.\nAnswer: n, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*a + 12. Let s(w) = -25*w - 1. Let n be s(a). Let z be ((54\/(-15))\/(-6))\/(1\/15). Calculate the greatest common factor of z and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25\/2 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*((j\/(j*j**(-6)))\/j)\/j)\/j*j)\/j*j**(-2\/5)\/j)**24)**(-21) assuming j is positive.\nAnswer: j**(-6552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 30 = 3*u, 4*h + 0*u = u + 65. Let d = h - 7. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -z + 3*z + 180, t - 108 = -5*z. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10010000001001000010?\nAnswer: -10010000001000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 183\/8, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27929 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 0.3 (c) -0.287 (d) -1 (e) 0.01 (f) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 8*p + 1. Let i be m(6). Suppose f - 2*f + 40 = 3*b, -f = 5*b - 66. Let o = b + i. Solve 2*c = -o*c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 less than or equal to -3\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 81*d**3 - 22031*d**2 - 265*d - 1878. Determine p(272).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -16 - 34. Let i = q - 16. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 7*y**2 - 9*y + 18. Let w be f(6). Suppose 2*l = -8, w*k - 3*k + l = -34. Solve -20 = -k*u + 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/(f\/f**(3\/2)))\/f)\/((f**(-2\/35)*f)\/f))**28)**(12\/5))**(-42) assuming f is positive.\nAnswer: f**(-39312\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(3\/10))*s)\/s*s**(2\/3)*s*s)\/((s*s**(1\/2))\/(s*s*(s**(-1\/4)*s)\/s*s*s)))**32 assuming s is positive.\nAnswer: s**(2216\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23016169?\nAnswer: 11, 23, 29, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*g, -g + 0*g + 35 = -5*a. Suppose -9*n - 22 = -5*b - g*n, 28 = 5*b + 4*n. Solve -5*s + 2*z = 23, -s - b*z - 14 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y**2 + 2*y**2 + 3*y**2)*(-y**2 + 2*y**2 + 0*y**2) - 3*y + 10*y**4 - 9*y**4 + 2*y as u*y**4 + v*y + z*y**3 + g + o*y**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**2 + 2*s - 2*s)*(12 + 15 + 57)*(5 - 1 - 15*s + 12*s) + 5*s**2 + s**3 - 5*s**2 to g + n*s + q*s**2 + x*s**3 and give q.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 91 + 1 + -1 - ((47 - 4) + (-51 - 6))\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.43147 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 0 + 2 + 6 + 1. Let b(s) = -s - 5. Give 5*b(c) + 3*k(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - 0) + (11 - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -297*c**4 + 2*c**3 + c**2 - 4*c - 125. Let a(s) = -2*s**4 + s**3 - s**2 - 2*s - 1. Let p(l) = 2*a(l) - z(l). Find the third derivative of p(x) wrt x.\nAnswer: 7032*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 - 2*q - 3. Calculate the remainder when 78 is divided by u(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m + 326 = 3*s, -4*s - 4*m + 448 = 0. Calculate the highest common divisor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -2\/3, 79, -0.1, 3\/10, 0.02, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -175803 (base 12) in base 8?\nAnswer: -1424503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 32*d + 157. Calculate j(7).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - -17) + (-27 + 15 + 12 - -16).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaalalllwlalfl. Give prob of picking 1 w and 2 a.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (37 - 41) - (-1 + -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*j - 0*u, 2*u + 4 = 0. What is the third derivative of 8 - 8 + f**2 + 3*f**3 + 0*f**j wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 4*m + 6. Let h be u(3). Solve -h*l + 12 = -2*g, 5*g + 4*l + 4 = 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -171*a**3 + 16*a**2 + 82*a + 37. What is the ten thousands digit of y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeemme. What is prob of sequence mem?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*n + w, -3*n = 3*w - 5 - 4. Calculate the greatest common factor of n and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 84, 1580, 4074, 7566, 12056, 17544?\n\"Answer: 499*o**2 - o - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010010100010111010001 + -1?\nAnswer: -1101010010100010111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/15))\/(j**9\/j))**(-25) assuming j is positive.\nAnswer: j**(515\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c + 11. Let h be g(6). Let m(i) = -3*i + 13. Is m(h) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s**3 - 7*s**2 - 6*s - 4. Let p be k(2). Let y(g) = -3*g**3 + 14*g**2 - 10*g - 9. Give y(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(9\/15 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**3 - 39*p**2 - 2*p - 91. Let c be m(-13). Let s = -6 - -10. Put s, c, -4 in increasing order.\nAnswer: c, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/9 - 5449550*b**2\/9 + 43596304*b\/9 - 87192544\/9 = 0. Calculate b.\nAnswer: 4, 2724767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 1 - 19)*(-4*v - v + 3*v)*(1 - 9 + 2) + (-1 - 1 + 0)*(-3*v + 4*v - 2*v) in the form n*v + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m. Let g(h) be the second derivative of 19*h**4\/12 - 39*h + 2. Calculate g(v(f)).\nAnswer: 304*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 h when four letters picked without replacement from {l: 1, e: 3, h: 8, d: 6}.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -1. Let g = 1.2 - j. Round g to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from sfsolfseoso.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4523, 17802, 39835, 70616, 110139?\n\"Answer: -s**3 + 4383*s**2 + 137*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1315875 and -83\/440.\nAnswer: 10527000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 972 and 6?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from rslrapjl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 2*d + 530 = -14*t, 3*d = 3*t - 309. Let j = -104 + t. Solve 2 = -j*w + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20244 by -43.\nAnswer: -20244\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 z, and 1 f when four letters picked without replacement from {f: 7, g: 5, z: 1}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**7\/70 - 3*b**6\/40 - b**5\/10 - 8*b**2 + 5*b. Let t(z) be the first derivative of g(z). Factor t(m).\nAnswer: -3*m**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/4203?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 176*w**2 + 53*w + 40723. What is r(-177)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 11. Let t(x) = -x**2 + 4*x - 1. Let a be t(y). Suppose -4*r - a = -5*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4\/7 (b) 104 (c) 2\/15 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100011 (base 4) to base 12.\nAnswer: -34a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 281989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than or equal to 6.395768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -13*a + 45. Let j(n) = -9*n - 15. Let i be j(-2). Let q be z(i). What is the second smallest value in q, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136388035?\nAnswer: 5, 7, 3896801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -800*m*x**3 - 2*x**3 - 1415*x**2 wrt m?\nAnswer: -800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0.1. Let o be (-501)\/(-168) + -3 + (-13)\/832*8. Which is the third smallest value? (a) -2\/5 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2\/3*q**2 - 16\/21*q + 2\/21 = 0?\nAnswer: 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*m - 42*m + 1 - 13 to b + f*m and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t - 22. Let k be c(5). Suppose -k*w - 12 = 0, -3*w - 1696 = -4*p - 0*w. List the prime factors of p.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 115 by -7.\nAnswer: -115\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 + 9 - 28*a + 2*a**2 + 6 - 2*a**3 - 17 as w*a**4 + x + k*a**2 + g*a + j*a**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -90. Let b = q - -37.3. Let i = -1.6 + -0.4. What is the third biggest value in b, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1. Let c(v) = v + 4. Let d(n) = 4*n - 27. Let s be d(7). Give s*c(f) - 3*g(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 89 from -408080693.5.\nAnswer: -408080782.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4125, -8782, -13955, -19644, -25849, -32570, -39807?\n\"Answer: -258*j**2 - 3883*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19548 and 9774?\nAnswer: 19548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 20 = i, 14*i - g = 10*i + 20. Solve i*h - 2*h - 10 = -f, -5*h = -5*f - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -18315?\nAnswer: -18315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*f + 9. What is the smallest common multiple of 24 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1303455.\nAnswer: -3910365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2943\/8 + 368. Let a(d) be the second derivative of m*d**4 + 0 + 1\/4*d**3 + 0*d**2 - 2*d. Find w such that a(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 70 = -5*n, 0 = -2*n + 4*n + 2*g + 20. Let c = -8 - n. Solve -c*y + 4*y + s = -1, -3*s - 8 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + 11*x**2 + 8*x + 2. Let y(a) = 3*a**3 - 17*a**2 - 12*a - 3. Let d(j) = -5*y(j) - 8*z(j). Let q be d(4). Sort 4, q, -4 in descending order.\nAnswer: 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4000422 - -5?\nAnswer: 4000431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*u + 353, 2*u - 9*p - 241 = -12*p. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -4 (c) -0.4 (d) 4342\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62656, -62927, -63290, -63745, -64292?\nAnswer: -64931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3692 - -3798. What is the remainder when 385 is divided by t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1293683*b**5*m**2 - 5*b**2*m**3 - 3*b*m**3 + b*m**2 + b*m - 2*m**3 - 7*m**2 + 8*m wrt b?\nAnswer: -25873660*b**3*m**2 - 10*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 10, -2*u - 2 = -4*q + 16. Suppose -5*l = 2*j - 40 - q, -4*j + 69 = 5*l. Calculate the lowest common multiple of j and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 225*k**2 - 442*k**2 - 4 + k**3 + 223*k**2 + 3 - 9*k. Give t(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23489 - 13636. Let s = c + 99147. Round s to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a second in milliseconds?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)*-1 - 2*(sqrt(3) - (sqrt(3) + sqrt(3) + -1)).\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-21)*(-108)\/36.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -26 in decreasing order.\nAnswer: 2, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -5 + 1 - -5) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 572\/21 - 83\/3. Which is the third biggest value? (a) f (b) 3\/2 (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -694 - -123. Let q = 654 + d. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 122\/7473 or -3?\nAnswer: 122\/7473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bildccuu. What is prob of picking 1 u and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 8 = 5*m, -5*t + m = -2*m - 32. Suppose 5*r = -5*n + 2410, 3*n = -t*r + 4*n + 1913. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9\/2, 10\/9, -3, -0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v + 25997 - 133871 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**3 - 4*u**2 - 4*u - 6. Let f(k) = 4*k**3 + 3*k**2 + 3*k + 5. Let v be (-19 + 18)\/((-2)\/20). Suppose 2*x - v = -18. What is x*f(m) - 3*b(m)?\nAnswer: -m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -14 - (-7 + 12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -1 + 0 - -1. Suppose 2*m - 30 = -z. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + j + 3. Let r be v(0). Suppose y + 13 = r*d - 2*d, d - 5*y = 29. What is the smallest common multiple of 340\/12 - (6 + -3)\/d and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) 3 (c) -0.2 (d) 2\/5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2 + 738*v - 4171. Determine o(-87).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14264189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 q when three letters picked without replacement from {i: 2, q: 2, h: 2, w: 3, e: 1, u: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*x + 2*x**4 + 2*x**2 - 83*x + 2*x**3 + 243*x + 243 in the form w + b*x**2 + m*x**4 + h*x + v*x**3 and give w.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 - 3*n**2 - 6. Let q(p) = 5*p - 11. Let g be q(8). Let a = -26 + g. Let t be f(a). Calculate the greatest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 15*z - 19*z + 16, 0 = -2*z + w + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/33*(-1639)\/(-894)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 19 - 3 = 0. Factor -4*p**3 - 1 + 1 - p**4 - p**b.\nAnswer: -2*p**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v. Let q(s) = -11*s**2 - 6*s**2 - 8*s**2 + 15*s**2. Give q(h(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-2660)\/(-168))*-8*(-10)\/(-4)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.5. Let x = w + 0.1. Suppose -10*k - 10 = -15*k. What is the nearest to x in k, -3\/5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60 and -0.11246436.\nAnswer: -6.7478616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(1 - (-3)\/6). Let h be 2\/y + 176\/18. Is 10 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**3 + 6510 - 6510.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34930*p - 17460*p - 17470*p - 22639*p**2.\nAnswer: -22639*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-904)\/226)\/(-6*2\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 + 4*t**2 - 2. Suppose -102*y - 15 = -97*y. Give j(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-8 - -2) - (-3 - (16 - 5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1704 + 1881. What is the remainder when a is divided by 88?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaamaaoroororoaa. Give prob of picking 1 a, 1 o, and 2 r.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -10) + -3 + -22 + 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 9:38 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -646, 4 in increasing order.\nAnswer: -646, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 334 (base 9) to base 2\nAnswer: 100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, h: 2}. Give prob of sequence xxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4104 (b) 394 (c) 0.4 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*n + 3*n + 42, -5*k = -3*n - 50. Let u be ((-8)\/(-10))\/((-4)\/n). Let o(q) = 4 - u*q**2 - q - q**3 + 4*q + 0. Calculate o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -10*m + 0 + 3*m**2 - 4\/3*m**3. Differentiate j(b) with respect to b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3188 + -3187. Put -3, 4, -1, 0, g in descending order.\nAnswer: 4, g, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**1*z)\/z))**(3\/28)*(z\/(z**(-1\/3)\/z*z))\/z*z*z\/(z\/(z\/z**6*z*z))*z*(z*z**(-1\/3))**8\/(z\/(z**(-5)\/z)*z**(-3\/5)) assuming z is positive.\nAnswer: z**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) - (-16)\/(-288)*-66. Let y(t) = 2*t - 4. Let s(h) = -5*h + 12. Suppose -g - 2 = -0*g + 5*x, -2*g + 4*x = -24. Calculate g*y(a) + o*s(a).\nAnswer: a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(2 - (-15)\/6). Let l = g - 4. What is the remainder when 40 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(396))\/(-5*(sqrt(64) + sqrt(4))) + 1 + 4).\nAnswer: -10 + 12*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.931199g in kilograms?\nAnswer: 0.000931199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -19394.41 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200 + 27768*b + b**2 - 27768*b.\nAnswer: b**2 + 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2. Let c(o) = 40*o. Give c(l(v)).\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 319 - 2836 = -5*u, 2*b = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-7\/5))\/(l*l\/(l*(l*l**(-13\/3)\/l*l)\/l)))**(-34))**(8\/5) assuming l is positive.\nAnswer: l**(23392\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/4693 and 83\/2132.\nAnswer: 769652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 975. Let j(l) = 1215*l. Calculate j(r(a)).\nAnswer: 2430*a**2 + 1184625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + z - 755, y = 3*z - 80 + 285. List the prime factors of (-8)\/(-20) + y\/25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 80\/1 + 21\/7. Suppose o - p = 54. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 808674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 16*x - 581. Let b be j(35). Sort -2, -5, b, 5 in ascending order.\nAnswer: b, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 3)*(5*j - j - j) + (25 - 26 + 3 + 7*j)*(-2 - 2 + 3).\nAnswer: 8*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2))**(-1\/38)\/(m**(-1)\/(m\/m**7)) assuming m is positive.\nAnswer: m**(-381\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79736 + -79735.9825014. What is w rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q - 49 - 3*q - 135 + 184.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s. Let x(w) = w + 8*w - 13*w. Give x(n(l)).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1431, -1249, -1069, -891?\n\"Answer: -h**2 + 185*h - 1615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + 9*h**2 - 57*h + 33. Calculate the smallest common multiple of q(3) and (-2)\/(-4) + (-10)\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 11:29 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 94*o - 2. Let f(n) = 141*n - 3. What is 5*f(d) - 7*t(d)?\nAnswer: 47*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c. Suppose 15 = -5*x - c*x. Let m be 0 - (15\/x + 2). Solve -m*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:51 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n - 15. Suppose n*h = 4*h + 4*q + 53, q = 4*h - 272. List the prime factors of h.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*n + 32, 3*t = 2*n + 6 - 4. Let q be t\/(-18) - (-146)\/9. Suppose -4*y - q = -2*r - 8*y, -2*r + 18 = 5*y. Solve -8*m + r*m + 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1617 + 4903\/3. What is the common denominator of d and -23\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*v - 9. What is the tens digit of (-2)\/(357\/(-658) + v\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 744 and 465.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = b + 26*s - 22*s, -4*s = 4 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, x: 7, a: 2, e: 1}. Give prob of sequence xxaa.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/38 + (-11322)\/(-342). Suppose s = 2*v - 3*f - 2*f, -3*v - 3*f = 3. Suppose 5*b = 2*n - 15, 2*b + 2*b - 3*n = -12. Put b, v, 3 in decreasing order.\nAnswer: v, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-60) + (-32)\/(-10). Let g be (-3)\/(-1 + 4) + l + 5. Solve -1 + g = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(17)*2 - (sqrt(17) + sqrt(17) + 4 + sqrt(68)\/sqrt(4))) + (-3*sqrt(119) + sqrt(119) - sqrt(119))\/sqrt(7) + 0)**2*5.\nAnswer: -240*sqrt(17) + 3140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 18, j: 2}. Give prob of picking 2 j and 1 f.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 298 + -294. Suppose 9*r - 15 = -5*l + 7*r, 3*l + t*r - 9 = 0. Sort l, 9, -4, -5 in descending order.\nAnswer: 9, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 265497 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2143 + -2509.3. Round f to the nearest 10.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euueuuuueeue. What is prob of sequence uuu?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 50. Solve -w = 5*q + 20, 0 = -7*q + n*q + 2*w - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p + 1. Let o be w(-1). Let s be ((-10)\/(-75))\/(o\/15). Sort s, 0, -0.4 in increasing order.\nAnswer: -0.4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*c**3 + 35386*c**2 + 4*c - 887579 wrt c?\nAnswer: 426*c + 70772","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7093392 and 4433370.\nAnswer: 35466960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(51\/170)\/((-18)\/10)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o. Let r = 14 - 10. Let v(t) = 6*t**2 - t**2 + r*t**2. Calculate v(c(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3062074 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 3. Let v be r(-4). What is the units digit of (v\/(-2))\/(18\/(-192))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 214, 490, 876, 1366, 1954, 2634, 3400?\nAnswer: 4246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = a + 708132, -60*a + 63*a + 2124308 = -w. What is a rounded to the nearest 1000?\nAnswer: -708000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(72)\/sqrt(8) - sqrt(9))*-3)\/(-6*sqrt(108)))**2*4 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djyyfya. What is prob of picking 1 f and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 224359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9 = 1. Suppose 0 = -5*n + d + 10, 4*n = -2*d - 5 - 1. What is the highest common divisor of n and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) 2\/15 (c) -15\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 6*q**2 - 46*q + 214. What is the remainder when 1543 is divided by j(9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2512630 (base 9) to base 5.\nAnswer: 322213114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 50.94. Put t, 3, -0.1 in descending order.\nAnswer: 3, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 323850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 357941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 3135?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 6*z**2 + 5*z - 1. Let q(l) = l**2 + 5*l + 3. Let o be q(-5). Let j be 10\/((o - -2) + -3). Calculate h(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177991 + -90081. Round o to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 244.3761 micrometers?\nAnswer: 0.0000002443761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*j**3 - 205*j**3 + 95*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + 16631446.727?\nAnswer: 16631501.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6501 (base 14) to base 11.\nAnswer: 1211a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k + k - 4*k)*(5*k**3 - 4*k**3 - 2*k**3).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 273636 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: Four letters picked without replacement from {n: 9, h: 11}. What is prob of picking 1 n and 3 h?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 276709891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 14*w - 32. Let c be l(-10). Let m = 274 + c. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 27. Let a = -15 - s. Suppose -3*q + 7*q = -a. Put q, 2\/13, -1\/4 in increasing order.\nAnswer: q, -1\/4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -397 in ascending order.\nAnswer: -397, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -333864078?\nAnswer: 333864084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((33\/6)\/1)\/((10\/16)\/((-148135)\/(-9116))).\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14502261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 10:46 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 + -3 - (-5 - -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 14, 17, 16, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.9992 and -41.\nAnswer: -40.0008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (9 - -23 - (6 + 0 + -2))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8778 + -456523\/52. Let k = 1\/26 + c. Calculate the common denominator of 34*((-3)\/27)\/1 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/3, -268, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3)*3 + -2. What is the units digit of (2 - 6)*z\/(-4)*-21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-4)*v\/(v*v*v**(-7)*v))\/(v\/v**(-3))**24 assuming v is positive.\nAnswer: v**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09527 * 58.\nAnswer: 5.52566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 83619.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 + 7*i**2\/2 - 5*i.\nAnswer: -i*(i - 5)*(i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 72 = -d + 5*g, 0 = -3*g. Suppose d = -149*x + 153*x. Solve 35*a + x = 41*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.23, -3, -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -26*o**2 - 17*o + 5. Let l(m) = -9*m**2 - 6*m + 2. Let s be 267\/(-712) + 170\/(-16). Calculate s*l(i) + 4*u(i).\nAnswer: -5*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 11 = 8*l. Let u be ((-2 - -2)*l)\/(-1). Put u, -2, 5, -1 in decreasing order.\nAnswer: 5, u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j*j**1))**(13\/4)*(j**1*j)**(5\/2)*((j*(j**(2\/17)\/j)\/j)\/(j\/j**(-3\/7)))\/((j\/(((j\/(j\/(j**(2\/5)*j)*j))\/j)\/j))\/j**5) assuming j is positive.\nAnswer: j**(-11093\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 less than -222.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 25*n**2 - 20*n + 45. List the prime factors of r(5).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201549.\nAnswer: 3, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2505938659.\nAnswer: 7, 1609, 222493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 8 (c) 1.3 (d) -2 (e) 4 (f) 1469\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9964*v + 627733. Determine s(-63).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172 - -172. Suppose n - 124 - 588 = l. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106931 greater than -2031672\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -14, -52, -126, -248, -430, -684, -1022?\nAnswer: -1456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 6 = 7*m. Suppose 11 = -6*r + 41. Suppose -m*a + r*a = -36. Round a to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 2 (c) 28 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20683, -3 in descending order.\nAnswer: 3, -3, -20683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (800*a**2 - 328*a**2 + 589*a**2)*(-3 + 3 + 1)*(-1 + 1 - 1 + (0 + 0 - 1)*(5 + 1 - 4)) to x + l*a**2 + u*a and give l.\nAnswer: -3183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3286.33 and 36.8?\nAnswer: -120936.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j**3 + 1 - 1)*(85*j + 59 - 59 + (3*j - 2*j + 0*j)*(4 - 3 + 1))*(2 - 4 + 0) to p + w*j + v*j**3 + x*j**2 + a*j**4 and give a.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 11*u. Let n(y) be the first derivative of y**2\/2 - 10. Calculate o(n(w)).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 36*d**2 + 63*d + 2431. Is u(54) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(99) - (1*(sqrt(99)*-3 + sqrt(99)) + sqrt(99)))\/((sqrt(576) + sqrt(576) + -6*(sqrt(576) - sqrt(576)*-2) - sqrt(576))*4).\nAnswer: 11*sqrt(11)\/544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-8 - ((4 - 3 - 8) + -6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-81)\/(-90)*-4*2\/(-624)\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 32, -128, 3, 4 in decreasing order.\nAnswer: 32, 4, 3, -1, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 8:53 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 44 - 184 = 0. Let y = -15 + f. Let o = 26 - y. Solve r = -5*q - o, 4*q + 9 = 3*q + 3*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnhh when four letters picked without replacement from xhxxhxhxhxxnhh.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 253.\nAnswer: -252.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 190649 or 190922?\nAnswer: 190922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q**3 + 2*q**2 - 6*q - 3. Let t(w) = 10*w**3 - 3*w**2 + 8*w + 4. Determine -3*t(o) - 4*v(o).\nAnswer: 10*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + 0 + 3 + -7 - 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**4 - 3464388*c**3 + 10393216*c**2 + 13857600*c = 0.\nAnswer: -866100, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -39?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 2\/11, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 + 9 = 0. Solve 8*t - 10 = l*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134 + 134 + 24*j)*(-1 + 1 + 3*j**4) - 2*j**5 + 5*j**2 - 5*j**2.\nAnswer: 70*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30cc (base 14) in base 15?\nAnswer: -275c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7188 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, 13, 41, 81, 133, 197?\n\"Answer: 6*g**2 - 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h + 5. Let n = 7 + -3. Let k be m(n). Let c(x) = 6*x + 1. Let q be c(1). What is the greatest common divisor of q and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/13 + 266*o**2\/13 - 60*o.\nAnswer: -2*o*(o - 130)*(o - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1079214, -2158427, -3237640, -4316853?\nAnswer: -5396066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3742, -7485, -11228, -14971?\nAnswer: -18714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4312 = 3*u, -8*z - 5*u = -5*z - 2584. Is z != 860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. Let s be (t - 0) + (17 - -1). Suppose s = 4*q + 2*i + 4, 5*q + 5*i = 20. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32351 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**2 + 12*p - 9. Let i be k(5). Calculate the remainder when i\/(-4) + -3*(-7)\/(-14) is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvgvxvvx. Give prob of picking 1 v and 2 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2434*c + 5049. Calculate a(3).\nAnswer: -2253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 209*j**2 + 182*j - 901. What are the prime factors of p(5)?\nAnswer: 2, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67095490 divided by 5515\nAnswer: -12166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (8 - -1) - (-18 + -5 + 25)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 9. Let s be p(-6). Suppose d + 15 = -5*o - s, -2*o = 5*d + 182. Let f = 83 + -119. Is f at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 2355 = -167*w + 309 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 0.4 (c) 2 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014604 to 4 dps.\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 295333*q**3*y - 5*q**2 - 3924*q*y - 2*q - y wrt q.\nAnswer: 1771998*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, and 1 b when three letters picked without replacement from sehbhsessssbssh.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 - 34*r - 23*r + 86*r + 25*r**3 - 29*r.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 479945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**2\/3 - 10055*q\/3 - 10054\/3 = 0?\nAnswer: -10054, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -5*p**3\/3 + p + 1. Let d = 83 + -13. Suppose 85*s = d*s + 15. Calculate q(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13*u**3 + 5*u**2 + 8*u - 5. Let a(n) = 13*n**3 + 4*n**2 + 7*n - 4. Let g(t) = -5*a(t) + 4*d(t). Find the second derivative of g(c) wrt c.\nAnswer: -78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**5)\/(s\/s**(2\/3)*s)*(s**(1\/4))**(-2\/39)*(s**5\/s**(9\/2))**(14\/3) assuming s is positive.\nAnswer: s**(-235\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4\/8 - 3*x**3\/4 + 405*x**2\/8 - 93*x\/2 - 195\/2 = 0. Calculate x.\nAnswer: -13, -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (124792\/(-114))\/(-2*(-2)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:17 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*v + 4. Let n = v - 5. Let d be (24900\/9)\/(n\/(-60)). What is d rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) 1\/5 (b) 19 (c) -2.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3335 is divided by 1026.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 1. Let t(d) = 134 + 133 - 267 + 5*d. Let x(a) = -11*a + 1. Let i(p) = -5*t(p) - 3*x(p). Give -3*c(s) + i(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -12*l**2 + 20*l - 20. Let b(c) = 5*c + 1. Let j(x) = -4*x - 1. Let y(u) = -5*b(u) - 6*j(u). What is f(z) + 20*y(z)?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214803, 214739, 214691, 214665, 214667?\nAnswer: 214703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 42645.65?\nAnswer: -4264.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 - 1\/3*y - 1\/3*y**2.\nAnswer: -(y - 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3717958, 7435879, 11153800, 14871721, 18589642?\n\"Answer: 3717921*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Let i = -107\/33 - -21\/11. Let a = 0 + -0.1. What is the closest to 3 in s, a, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 11:02 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -217*j**5 - 211*j**5 + j**6 + 428*j**5 + 279*j**4 + 406*j**2 wrt j?\nAnswer: 120*j**3 + 6696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -505009, -2019990, -4544957, -8079910, -12624849, -18179774, -24744685?\n\"Answer: -504993*c**2 - 2*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 0. Suppose -z*v = -5*v - 8. Suppose -v*y = -272 - 150. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 4. Suppose 4*i = 8*i. Suppose i = r - 4*n + 2*n + 7, n = 2*r - 1. What is the closest to -0.1 in q, 2\/19, r?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-360)\/510)\/((-45)\/510).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -102560?\nAnswer: 102564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**2 - 3*b + 3. Let y be i(2). Suppose -2*f - 3 = -y. Suppose 3 - f = -2*h. Solve h*j = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10421 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 803463 and 1284?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 64*f + 169. Let r(u) = -127*u - 338. Let v(w) = 7*n(w) + 3*r(w). Find the first derivative of v(h) wrt h.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -7 - (-2 + 5). Sort z, -5, -2 in decreasing order.\nAnswer: z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 26 = 0. Suppose 0 = -w - t + a, 10 = -3*t + 1. Solve -w = -3*z + 7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*j**2 + 2 - 18*j**4 + 3*j**3 - j**3 - 225*j**2 + 113*j**2 in the form m*j**4 + i*j**3 + g + x*j + p*j**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -10. Suppose -16 - 44 = -5*g. Solve -g = -5*t + n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71 and (-7)\/(-1) - (-212)\/(-53)?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 454392192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfff. Give prob of sequence flf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 3. Let j be s(-7). Let r = j - -17. Suppose 3*n - 5*n + 24 = 0. Is n at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 100555042 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029 = 6*d + 15*d. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/3, -0.1, -5, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7\/20*(-3708)\/(-6489)*56\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 45. Let k(n) = 4*n + 15. Does 5 divide k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, s: 3}. Give prob of picking 3 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -623, -0.08, 5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9262 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2371 - 579 = 145*z + 1980 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -6, -338 in decreasing order.\nAnswer: -6, -8, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379582 = -10*z + 2436212 + 1016740. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p + 38. Let b be u(5). Let c = 94 - b. Solve -c = -5*d - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -47. Suppose -l = -0*l - i - 2, 0 = l + 5*i + a. Let v(s) = 3 - 5 + s**3 + 6*s**2 - 2*s - 3*s**2. What is v(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {p: 2, r: 3, j: 1, c: 1, v: 10}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, j: 5, o: 4, t: 5}. What is prob of picking 2 o, 1 r, and 1 j?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.2 + 11.2. Let s = a - 9.24. Let i = s + 0.2400014. Round i to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 18*z**2 + 41*z + 17. Let t = 82 - 65. Is x(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4773261ng to tonnes.\nAnswer: 0.0000000000000004773261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19135*f + 70 = 19140*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u**2 + 2 + 0 + 0 + 2 as y*u**2 + h + p*u and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 5378064 and 5378062 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 - (114 - 126).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 963997498 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 z = -7004 - -7078. Solve -9*v - z + 11 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 + (-15 - 8 - -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i = -29*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 157851.4 to the nearest one thousand.\nAnswer: 158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 943.377l to millilitres.\nAnswer: 943377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - l + 8 = 0, -l - 1 = -3*i - 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(231) + sqrt(231)*-1) + sqrt(231))\/(-6*-1*sqrt(7)))\/(sqrt(44)\/(sqrt(8)\/sqrt(2)) + sqrt(11) + 2*sqrt(44)) + 2.\nAnswer: sqrt(3)\/36 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0 (c) -4 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -37*z + 160. Solve 4*k = 3*y + 26, -y + 37 = z*k + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214 and 316506.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-432)*6*2\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3233.5898 to zero decimal places.\nAnswer: -3234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 196379, 196423, 196467, 196511?\n\"Answer: 44*u + 196335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 2:57 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7409.71 millennia?\nAnswer: 88916520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -5 - -11 - 4 - (2 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*f - 18 = 0, -1 = 3*q - 2*f + f. Suppose -6*a + 4*a + 4 = 0. Calculate the least common multiple of q\/5 - (-47)\/5 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 - k**3 + k**3 - k**3 - 208*k - 49*k + 2*k**2 + 2*k**4 to the form f + o*k**2 + g*k + u*k**3 + z*k**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3788891*f**2 - 2296214 wrt f?\nAnswer: 7577782*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -415, -1510, -3343, -5920, -9247, -13330, -18175, -23788?\nAnswer: -30175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -871 + 624. Let n = 223 + v. Is -24 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 4. Let w be t(-3). Let g = 131 + -126. Sort -4, g, w in descending order.\nAnswer: g, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgt when three letters picked without replacement from itiiixgii.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + (sqrt(1300)*1)**2 + (-3 + sqrt(1300))**2 + 4.\nAnswer: -60*sqrt(13) + 2614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 123.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrff when four letters picked without replacement from {f: 8, s: 1, e: 1, l: 2, r: 7}.\nAnswer: 49\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzzjjjjj. What is prob of picking 2 j and 1 z?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17129*0.02\nAnswer: 342.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78324*d + 39168*d + 39181*d = -2350 for d.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**4*u*u))\/u**(1\/2))\/(u**0)**48 assuming u is positive.\nAnswer: u**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 439, 713, 991, 1273, 1559?\n\"Answer: 2*f**2 + 268*f + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(35\/28).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/24)\/(3*4\/(-72)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3*u + 7*u)*(-4*u - 2*u + 2*u)*(12*u + 9*u - 24*u).\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*((-2 + sqrt(320) + 2 - sqrt(320))*4 - -2*(sqrt(320) - (1 + sqrt(320)*1)))**2*-1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3\/9 + 14*p**2\/9 + 49*p\/9 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 338*c**2\/3 + 455*c\/3 + 38.\nAnswer: -(c - 114)*(c + 1)*(3*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-7)*112\/24. Let b = m + -7. Suppose -k = -b*k + 116. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 48*z + 587. Give l(-33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14083220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-8))\/(5\/(-20)). Suppose s*x - 8 = 1. What is the derivative of 2 + x - 4*v - 3*v wrt v?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1118*x + 13994 = -1521*x - 12396 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -182 - 7. Let j = 182 + x. Which is smaller: 2\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/5 + 3878*f\/5 + 33352 = 0.\nAnswer: -1895, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00245029855 rounded to 6 dps?\nAnswer: -0.00245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 4. Suppose 0 = n + 2*n - 30. Suppose -7*f - d = -2*f - 26, 0 = 5*f + 5*d - n. Determine z(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4746\/113 - (4 - (-1 - -29)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 14*o**2 - 11*o + 39. Let a be n(-15). What is the remainder when 147 is divided by (-460)\/(-6) - (-14)\/a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 15 = 0, 2*p - 2 = -v + 3. Let x = -1.885 + 3.885. Put 4\/3, -1\/51, x, p in decreasing order.\nAnswer: p, x, 4\/3, -1\/51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 + 3*x. Let n(j) = -9*j**2 - j - 6. Let t(v) = 9*v**2 + 2*v + 5. Let k(q) = -5*n(q) - 6*t(q). Give -3*k(g) - 7*w(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 386075911*o**2 + 1306071079*o?\nAnswer: 772151822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 114 (c) 49\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 116366590 to the power of 1\/2, to the nearest integer?\nAnswer: 10787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (1 - 46\/(-36)). Let o = y + 1\/9. Let n be (-64)\/112 + 12\/(-28). What is the closest to n in 3\/7, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/6, -10454, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 57\/(-21) + (-4)\/14. Let s be (b - 60\/(-9)) + -2. Factor -2\/3*l - 1\/3*l**2 + 0 + 8\/3*l**3 - s*l**4.\nAnswer: -l*(l - 1)**2*(5*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 + (-90 - (0 - -12))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 162e - 4?\nAnswer: 162a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehp when three letters picked without replacement from ehhepeihphphphph.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 36.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + 6\/4 - (-3360)\/(-5523) and -25\/14?\nAnswer: 3682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -0.04, 2\/19, -1\/18 in increasing order.\nAnswer: -1\/18, -0.04, 0.05, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*20\/8*53 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aatt when four letters picked without replacement from taakatttatkta.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 9 - 10 - 809*q - 44*q in the form b*q + v and give b.\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21420911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1802 in 3\/5, 2\/21, 4, -9, -7?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**6\/6 - l**5\/20 + 13*l**4\/4 - 5*l. What is the third derivative of h(x) wrt x?\nAnswer: 120*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 15. Suppose 3*a - 19 = -3*z + j, -4*z = -4*a - 48. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-6)\/9 - 3. Let o(j) = -j**3 + 124*j - 123*j - 7*j**2 + 2*j**2 + 2. What is o(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*v + 1916 = -2*v, 0 = -4*k + 4*v + 7616. Suppose 16*q - k = -627. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {t: 12, z: 2, u: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 116, -0.11, -3\/2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {v: 3, t: 6, u: 7, g: 1}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -35. Let r = -0.04 + -0.36. Put -1, r, p in ascending order.\nAnswer: p, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -6, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 95. Suppose 95 = 5*p - 5*z, -4*z = -3*p + i + 12. Let w = -11 + p. Calculate the remainder when 18 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17594884 to the nearest integer?\nAnswer: 4195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(17\/3))\/a*a)\/(a\/(a*a**(-24)*a)))\/(a**(-2\/47)\/a**9) assuming a is positive.\nAnswer: a**(-2485\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 45377160 divided by 113160\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9229 is divided by 2300.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -556 + 585. Let i = 13 + -46. Let d = i + y. What is the third smallest value in -1, 4\/3, -3, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**4 + 5*n**3 + 17*n. Let r(c) = -4*c**4 - 4*c**3 - 18*c. Let d(g) = 5*r(g) + 4*v(g). What is the second derivative of d(z) wrt z?\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 10:03 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(10\/40*(-3 + 1)). Suppose -14589 = o*b + 35011. What is b rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*j + 4*a = -3039, 0 = -2*j + 2*a - 121 + 95 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*q**3 + 446*b**3*q**2 - 7*b**2*q**2 + 14*b*q**3 + 2*b*q + 2*q wrt b?\nAnswer: 6*q**3 + 2676*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b**2 + 10705*b + 912091. Calculate m(1052).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 19714926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and 0.12.\nAnswer: -4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 281 divided by -2\nAnswer: -281\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 1 - (-76 + (-79 - -117))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 12*u**2 - 8*u - 57. Let y = 76 - 63. Let o be d(y). Let a(p) = p**2 - 7*p - 6. What is a(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 19 + 7 - 13. Let c be y(10). Solve c*t + 4 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 13) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - l - 9 = -9*d, 0 = -d - l - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 100\/(-750)*(-2 - -8)*165\/(-6). Let g(d) be the third derivative of 1\/12*d**4 + 0*d + 0 + n*d**2 - 1\/6*d**3 - 1\/6*d**5. Calculate g(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/303929802 and 81\/33769978.\nAnswer: 303929802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 224*k + 1119. Let l be j(-5). Are 1\/776 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 7 + 1 + (-4 - 2 + 1)*(1 - 2 - 1))*(i**2 + i**3 - i**2 + i**4 - 5*i**2).\nAnswer: -3*i**4 - 3*i**3 + 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.9 + -9. Let v = -1 + 1. Sort v, 3\/2, j.\nAnswer: j, v, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 69 = -d, -2067*i + 2070*i + 54 = 3*d. Let c(g) = 4*g + 83. What is c(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agggaa. What is prob of picking 2 a and 2 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 495*b - 1488. Calculate k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s**2 + 4*s - 2. What is the remainder when v(1) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -3*u + 28 - 27, -13 = 5*r - u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6653065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*x - 109*x - 144 = -60*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -6. Let s = -59515 - -59881. What is the lowest common multiple of s and z?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/10 and ((-21)\/1918)\/((-12)\/388)?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d0f (base 16) in base 4?\nAnswer: -2310033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 + 131. Solve -v*c + 17 = 17 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.35*67.692\nAnswer: 23.6922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*u**2 - 2 + 14*u**2 + 13*u**2 - 3*u - 2*u**3 as g + n*u**3 + p*u**2 + m*u and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 5:33 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9476185 to the nearest integer?\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/10, -2, 5, -8?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -600 - -1014. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -4, 2\/7, 115?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 16*b - 6. What is the remainder when p(11) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5, -5*o = -5*v - 0*v. Suppose v*q = q + 356. Let k(s) = 86*s**2 - 2*s**3 - q*s**2 + 3*s**3. What is k(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*k**2 + 53*k**2 - 17*k**3)*(-7*k - 6*k - 7 + 14*k).\nAnswer: -17*k**4 + 119*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2\/3 + 156280*u\/3 - 1221171920\/3 = 0. Calculate u.\nAnswer: 15628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*q**2 - 2*q + 3*q + 5*q**5 - q wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 6. Let n be i(2). Let r(o) = 2*o**2 - 6*o + 2. Let p(m) = -1 + m**2 + 6*m - 3*m**2 - m. What is n*p(v) + 3*r(v)?\nAnswer: -2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105 - (-2 - -4)) + (3 - 5 - (-14 + 11))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.008 * 74.\nAnswer: 0.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17739073 to the power of 1\/2, to the nearest integer?\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 16 = 8*n. Let u(y) = 1 - 14 - 18*y + n - 2. List the prime factors of u(-5).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*(sqrt(108) + (sqrt(108) - (sqrt(108) + -2 + sqrt(108))) + 5 - (5 + 2*sqrt(108))))**2*-5.\nAnswer: -2176 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 702061212 + 1238314924. Suppose 0 = 16*c + 1170547017 - w. Round c to the nearest 1000000.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (34 - 34 - 9 - 6) + (0 - 59)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1252 - 0?\nAnswer: -1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 141156, 141153, 141150, 141147?\n\"Answer: -3*v + 141159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**3 - w**3 + 0*w**3)*(0*w + w + 9*w) + 7*w**4 - 28*w**2 + 28*w**2 in the form f*w**3 + z + l*w + x*w**2 + j*w**4 and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -23. Let a = v + 12. What is the nearest to -0.2 in a, 2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 758 - 828. Let t be -7*1*(370\/p + 5). Solve 3*k - 3 = t*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -8 - (-2 + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15966 + -15122.28. Let c = y + -14.72. Let d = 828.9177 - c. Round d to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 0)*(0 + 0 - 2*i**2) - 48*i**2 - 54*i**2 - 30*i**2 + 51*i**2 - 11462*i + 11462*i to m*i**2 + n + q*i and give m.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14807, -59202, -133193, -236780, -369963?\nAnswer: -532742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1031311, -8250483, -27845377, -66003853, -128913771?\nAnswer: -222762991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**2*y - 147*n**2 + 929*n*y**3 wrt y?\nAnswer: -2*n**2 + 2787*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-57)\/(-722))\/(130\/(-52)))\/(2\/(-20))\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-2*i**2 - i**2 + 6*i**2) - 3*i**2 + i**2 + 4*i**2 + (-2 + 3*i + 2)*(0*i + i + 3*i).\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 - 113*h - 180. Let f(a) = -2*a**2 - 75*a - 119. Let s(m) = 5*b(m) - 8*f(m). What is the thousands digit of s(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19176029 and 0.048.\nAnswer: -920449.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-135)\/1350)\/(2\/25))\/(130\/(-8)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 26*n**3 - 56*n**3 + 29*n**3 - 15*n**4 + 2 as q*n**4 + d + u*n**2 + g*n + t*n**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 16. Let n be 126\/(-28) + (-1)\/(-2) - -3. Which is the fourth biggest value? (a) -2\/11 (b) f (c) 6\/11 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58.7 - -0.7. Let m = x + 126. Let i = m + -67.9748. What is i rounded to three decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-24)*o)**(2\/79))**50 assuming o is positive.\nAnswer: o**(-2300\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12575, -25141, -37707, -50273?\n\"Answer: -12566*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 256*r + 18*r - 4932. What is the greatest common factor of 346 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugg when three letters picked without replacement from {u: 1, g: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1017 and 1218705.\nAnswer: 3656115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*k - 163*k + 676*k - 156*k - 192*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580445?\nAnswer: 5, 116089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 264cd (base 14) to base 5\nAnswer: 11004021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2029426?\nAnswer: 2, 7, 17, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6257916 less than -17858?\nAnswer: 6240058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + 39?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 8 - 1 + 4 - 529*g + 545*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*h - 813 = -212 - 286 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, g: 6, s: 2, j: 3, q: 5}. What is prob of sequence gqj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3120)\/(-80) + (1 - (-3)\/(-1)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 z when three letters picked without replacement from tzttztzzzzz.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmz when three letters picked without replacement from omzyzyxxxxxxxxovxz.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4119360 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 - 10870*l**3 + 6704165*l**2 - 865599840*l + 31706277120.\nAnswer: 5*(l - 1008)**2*(l - 79)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/17? (a) -56 (b) 1\/4 (c) 148\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-125)\/3 + 3)*-3. Suppose 0 = -5*k - 2*b + g, -4*b - 44 = 4*k - 132. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -12*a - 6 + 9 - 289*a**3 + 288*a**3 + 7*a**2. Determine v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 2)\/((-6)\/94). Let d = g - 4. What is the derivative of 2 + 6 + 55*k**2 - 3 - d*k**2 wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - 80*c - 59. Let n(b) = b**2 - 20*b - 15. Let v(o) = -2*a(o) + 9*n(o). What is the units digit of v(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*(((o\/o**(3\/14)*o)\/o)\/o)\/o))\/((o**7*o)\/o)*o*o**(-3\/20)\/o*o**9 assuming o is positive.\nAnswer: o**(289\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -11*a**2 + 15*a + 9. Let w(m) = 6*m**2 - 7*m - 4. What is -13*w(o) - 6*x(o)?\nAnswer: -12*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17686 - 17691. Let a(v) = -3*v**2 - 3*v + 21. Give a(d).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 7*n - 4. What is the units digit of s(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 4300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544256.\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-6))\/(4\/(-36)*1). Suppose 0 = m + p - 3*p + 13, 0 = -b*m + 5*p - 35. Put 4, m, -8, 1 in decreasing order.\nAnswer: 4, 1, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66686083?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from njfffnjffnfoninnfnf?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = -4*w - 2*z, -3*w - 3*z = -9. What is the second derivative of -15 + w*c**3 - 21*c**2 - 35 + c**3 + 2*c wrt c?\nAnswer: 6*c - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/8*(-184)\/6 and 119\/(-44) - (-10)\/(-40).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7417215 and 3627.\nAnswer: 7417215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - 19 - 18 - (0 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 250470479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 4, -530?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-8))\/((-208)\/(-862784))?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -394 - -687. Let c = 22636010937 - 22636010643.99999686. Let m = d - c. Round m to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 4, -168 in increasing order.\nAnswer: -168, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584540 is divided by 87?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k = -4*a - 206, -3*k = -5*a - 256. Calculate the common denominator of a\/(-36) + -19 + 20 and -53\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.053 + -0.447. Let y = -0.5 + -1.5. What is the third biggest value in c, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/4)\/(9\/(-636)). Let o(c) = c**3 + c**2 - c - 151. Let i be o(0). Let b = n - i. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88 + 24 - 305 - 23*z + 24*z - 88 to the form f*z + o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4071 bigger than 4029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 14) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20612 and 213514555?\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(228)\/(sqrt(12) + sqrt(12)*1) + sqrt(19)))**2.\nAnswer: 1539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*m + 529, -412 = 4*m + 3*j + j. Suppose 3*o = 3*d - 321, o + 4*d = 3*o + 210. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1168760090 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Let g = -20.5 + 22. Let o = g - s. Which is the smallest value? (a) -1\/4 (b) o (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2789846221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37134352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400091857 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51*(-13)\/16796*(-2)\/12*-32?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 230 + -229. Solve -2*i = -4*c + 3*c + l, 5*i - 4*c = 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50364055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -2097.\nAnswer: -2097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7305 by 60.\nAnswer: 487\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2183 + -2186. Put -4, -134, p, -2 in decreasing order.\nAnswer: -2, p, -4, -134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44475 and 1500.\nAnswer: 889500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkdikkrkidrkkkrkrkik. Give prob of sequence rkdr.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -0.033.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -34*v**2. Let q(m) = -10*m**2. Calculate q(u(j)).\nAnswer: -11560*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (8694\/14076)\/(2\/68)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2203*l**4 - 2899 wrt l?\nAnswer: -8812*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5960 divided by -1490.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 229152 and 6468.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832*u**3 + 513*u**3 + 387*u**3 + 432*u**3 - 75.\nAnswer: 500*u**3 - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53874 or -53698?\nAnswer: -53698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-394)\/591)\/(7\/6).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*v - 11*v - 56*v)*(-2*v - 5*v - 4*v)*(-3 - 1 + 5) to the form c + k*v**2 + b*v and give k.\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6494 - 6492. Let l(n) be the first derivative of -3*n**4 - 28 + 12\/5*n**5 + 6*n**s - 3*n - 3*n**3. Solve l(p) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 25.05. Let b = t + -0.883. Let h = -0.0875 + b. What is h rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 4\/3*r + 5\/9*r**3 + 29 - 3\/5*r**5 - 2*r**2 + r**4. Let m(w) = 0. Calculate w.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqfbfqaaabqbbbqwq. Give prob of sequence bwf.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8337604, 16675214, 25012824, 33350434, 41688044?\nAnswer: 50025654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/35 (b) -5 (c) 0 (d) -366 (e) 0.2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f**(-1\/3))\/((f**(-3\/4)\/f)\/(f**(-2\/3)*f))*((f\/f**8)\/f**(-2\/11))**(-7) assuming f is positive.\nAnswer: f**(1957\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*x = -2*d - 16, 3*d = 2*x + 20. Suppose 0 = 3*g - 2*t - 169, 3*g + 311 = 8*g + d*t. Calculate the remainder when g is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29013243, 58026500, 87039757, 116053014, 145066271, 174079528?\n\"Answer: 29013257*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 + 1.9. Let n = 0.26 - -0.14. What is the nearest to -2\/7 in -2, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 2 - 2)*(447 - 447 - 69*j) - 5*j**2 + 2*j**2 + j**2 + (-j + j**2 + j)*(4 - 2 + 0) as r*j**2 + d*j + t and give r.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (6 - -10 - 8) - -13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzxxxzzzzzz. Give prob of picking 2 x and 1 z.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 5*y = -2256. Let a = y - 88. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 53*o. Let w(u) = -4132310*u**2 + 2. Determine w(n(s)).\nAnswer: -11607658790*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4)\/i)\/(i**6\/i)*(i*i*i\/i**(-2)*i)\/(i\/(i*i**4)))\/(i*i**10*(i**13\/i*i)\/i)**28 assuming i is positive.\nAnswer: i**(-2561\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/8)*(k\/(k\/((k\/k**5*k)\/k)))\/k)\/(k**(-1\/11)*k**(-14)) assuming k is positive.\nAnswer: k**(833\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18003786 - -10338115. Let d = -7665577.00039 - l. Let q = d - 94. What is q rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**4*u**2 - 37*t**4*u - 1948*t**4 - 3*t**2*u**2 - 9863*t**2 wrt t?\nAnswer: 48*t*u**2 - 888*t*u - 46752*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*v + 140 = 0, 3*x + 106 = 7*v - 6*v. Is ((-24)\/x)\/((-3)\/(-207)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6511.\nAnswer: 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 65*h + 67. Let n(s) = -259*s - 266. Let g(w) = -18*c(w) - 4*n(w). What is the derivative of g(t) wrt t?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*-2 + sqrt(68) + sqrt(68))*6 - sqrt(68)) + sqrt(68) - sqrt(68))\/(6*sqrt(8)\/sqrt(2))*-6.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2780578128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -238 and 64191.2.\nAnswer: 63953.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 37*r**2 - 52*r - 1926. What is q(-37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -342263 times 37\nAnswer: -12663731","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*j**2 + 5 - 26*j**2 - 90*j**2 + 558*j.\nAnswer: 3*j**2 + 558*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 9:33 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 728\/43 and 18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5036 at least as big as -5036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2039 = 4*l - 5*i, 819*l - 821*l = 4*i - 1052. Is l a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/46, 2\/5, -1\/4, -0.0082?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b**2. Let n = -7\/75 - -11\/100. Let y(m) be the third derivative of 0 - 3*m**2 + 0*m + n*m**5 + 0*m**4 + 0*m**3. What is d(y(h))?\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -72 in 21, -87, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -4 + 4 + 1. Let a be (-3)\/12*y - 12426\/(-8). Suppose a = 9*j + 608. List the prime factors of j.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + 44*o**2 + 3*o + 6. What is the thousands digit of z(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z + 2650 = 3690 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k - 287. Let h be (-847)\/k + 3 + 0. Let y(l) = l + 5. Let s be y(-4). Is s bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/d**(-1))\/d*d)**1\/(d**(-1))**(3\/31)*(d\/d**(2\/9)*d**(2\/15))**8 assuming d is positive.\nAnswer: d**(14488\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 - 1 - 140*t**2 + 125*t**2.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48380 = 422*i + 650*i + 2004 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2113219.2651 - 1961467.35510048. Let d = -151752 + b. Let k = d + 0.09. Round k to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 6, 0, -3\/104411, 3, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 917\/(-20 - -13). Is -147 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7188 and 380964.\nAnswer: 380964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -823873, 73, 0.\nAnswer: -823873, 0, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386*g + 382*g + 976 = 0. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2676 and 21901276?\nAnswer: 65703828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/6 + 7*s**3\/6 + 2*s**2 + 3*s. What is the tens digit of q(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 10*m**2 + 199*m - 1. Let a be j(-10). Solve 10*z - 2 = a*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -59*w - 21. What is g(-5)?\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 97*z + 616. Determine d(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3600500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:56 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 288 = -n, 4*n + 50 = t. Suppose 5*w = -q - 73, -5*w + 3*q = -q + t. Let h = -12 - w. 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 52 minutes after 9:52 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 - 3*l**5 + ((-4*l**2 + 2*l**2 + 3*l**2)*(-l - 2*l + 4*l) + l**3 + 0*l**3 - 3*l**3 + 2*l**3 - 3*l**3 + 3*l**3)*(798 + 24*l - l**2 - 798).\nAnswer: -4*l**5 + 24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 126*q - 795. Let o be p(20). Calculate the greatest common factor of o and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 36*i**2 + 2*i + 67. Let v be z(-36). What is the thousands digit of ((-356)\/v)\/(5\/75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -1, -5, 0.123?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12319 and 0.4.\nAnswer: 12319.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 1123488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 4:08 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 3 (c) 21 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.3, -0.3, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 249, 248, 247, 246?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/(-6))\/(-7))\/((-34)\/(-408)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1936*f**3*z**2 + f**3*z - 2*f**3 - 5*f**2*z**2 + 6*f**2*z + f**2 - 3*f*z**2 - 164*z**2 wrt f.\nAnswer: -11616*z**2 + 6*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 8265*n - 8262.\nAnswer: -3*(n + 1)*(n + 2754)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + (-2 - (-185 - 6)) is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -16*k**4 + 14*k**3 - 14*k + 2. Let h(i) = -i**4 + i**3 - i. Let c(s) = 2*a(s) - 28*h(s). What is the first derivative of c(q) wrt q?\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2897*u - 3808 + 11358 - 97357 = 0 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 2032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - p + 22 = 4*p, -8 = -2*p. Let n = -3 + 5. Suppose 6 = b + n*b. Put 3\/7, o, b in descending order.\nAnswer: b, 3\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:32 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 - 4 = 4*t, 0 = 4*u + 2*t - 2. Let g(h) be the second derivative of 0 + 5*h + h**u - 1\/3*h**3. Calculate g(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -52?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -7749\nAnswer: 774.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15286427 to the nearest integer?\nAnswer: 3910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804 is divided by 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -5, 0.14, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -17, 32?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5 - 438720*j**4 - 5264910*j**3 - 23692500*j**2 - 47385405*j - 35539236.\nAnswer: 3*(j - 146252)*(j + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10 and (-1 + -1)\/(28\/(-24))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - -2)*1\/6*3. Suppose 0 = 10*z - 4*z - 114. Solve 3*o + 27 = -0*o + n*s, -s + z = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(147)*1 + sqrt(45) + -1 + 4 + -4.\nAnswer: -1 + 22*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 5. Let u be a(-2). Let i = 7 + -7.5. Let n = -0.6 - i. Put u, n, -2\/5 in increasing order.\nAnswer: -2\/5, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7121 - 7116. What is the closest to 14 in -0.3, 0.3, 10, g?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102001 + 100?\nAnswer: 102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1733 or 2080?\nAnswer: 1733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -532*o**3 + 214*o**2 wrt o.\nAnswer: -3192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891315617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 6 + 2 + b**2 + 2. Let u(t) = -5*t**2 - 9*t + 9. Let o(l) = 18*c(l) + 4*u(l). Let i(n) = 112*n + 8*n**2 - 112*n. Determine i(o(h)).\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 10*m - 37*m. Suppose -5*i + m*t + 26 = 0, 5*i + 12 = 10*i + 4*t. Solve 0 = i*d + 3*d + 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -31\/2 (b) 154 (c) 6 (d) 2\/5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*u + 2*u. Let o be (u\/(-28))\/((-4)\/16). What is the third biggest value in -16, -4\/3, o?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*m - 164*m = -4*n + 27, -6*n = -3*m - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/18 - -6)*27\/(-12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 405 = -1481. Let f(x) = x**3 - 8*x**2 - 8*x - 2. What is the remainder when u is divided by f(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(6\/((-288)\/84))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2724175, -21793327, -73552449, -174346525, -340520539?\n\"Answer: -2724164*a**3 - a**2 - a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**3*x**2 + 9*l**3*x - 4*x**2 + 2 wrt l?\nAnswer: -6*l**2*x**2 + 27*l**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -4, -5, 4 in descending order.\nAnswer: 4, -4, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/10 - 2*j**2. Suppose 4*f = 14*f - 1740. Let n(c) = -88*c + f*c - 87*c. Determine n(a(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-1) - 111996\/16002. Is i <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.59 rounded to 0 dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.643, 0.4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -904, -1808, -2712, -3616, -4520?\n\"Answer: -904*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 15*m - 5. Let k(u) be the second derivative of -11*u**3\/3 + 7*u**2\/2 + 4*u. Calculate 5*k(d) + 7*y(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -7*i**5\/40 - i**4\/8 - 11*i**3\/3 + 45*i**2. Let f(v) be the first derivative of t(v). Differentiate f(d) wrt d.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 15) in base 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33728)\/(-620) - (-6)\/(-15)) + 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1 - (-184)\/32) + -4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 0*a**3 + a**4 + (-3*a**2 + a**2 + 0*a**2)*(-2*a**2 - 1 + 1) + 1106*a**3 + 111*a**4 - 1106*a**3 + (-35 - 13 + 10)*(0*a**4 + 5*a**4 - 4*a**4).\nAnswer: 78*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r + 91 - 23 = 0. Let g be 24\/(-13) - (-2 - 0) - 0. What is the nearest to g in 5, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8823 = 676*t - 807 - 11637 - 24025 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 8*z = -4*z - 16, -4 = -h - z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from {k: 1, r: 2, s: 5, o: 8, q: 1}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:28 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6486 = -127*g + 898 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prep. What is prob of sequence perp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.618 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 30 = 5*b, v - 3*v = 4*b + 10. Suppose 0*g + 5 = -g + 2*x, v*g + 40 = 5*x. Let k = -7 - g. Solve 0 = k*z - 7 + 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2563468 - 296022 - 3462110 = -150*y. Is 214 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.7 less than 7916825?\nAnswer: 7916765.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 870 + -825.9. Let k = -5406 + 5362. Let o = z + k. Which is the fourth smallest value? (a) o (b) 0.03 (c) 1\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l\/(l*l**26*l)*l*l\/(l**(2\/41)\/l*l) assuming l is positive.\nAnswer: l**(-945\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 0. Let j be -2 + (0 + -1)\/(-1). Sort j, 4, g in descending order.\nAnswer: 4, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31916 is divided by 15869?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/30*-1)\/(24\/(-15)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -23. Let i = t - 15. Suppose -5*f + 110 = -2*z, -2*z + 3*f - 5*f - 82 = 0. What is the second biggest value in z, i, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*j + 55*j - 63*j + 55*j = 0. Suppose h = 6 - 1. Solve j = -m + h*m + 4*t - 16, -2*m - 4*t = -18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -26*x**2 - 8*x + 3*x**2 - 8*x**3 + 5*x**2 + 4 + 6*x**2. Let q(g) = g**4 + 17*g**3 + 24*g**2 + 15*g - 7. Let j(r) = -7*a(r) - 4*q(r). Factor j(z).\nAnswer: -4*z*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 406, 933, 1682, 2659, 3870, 5321?\nAnswer: 7018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.1 - -0.3. Let x = g - 0.2. Let c = 4.0000049 + x. Round c to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 34189?\nAnswer: -1\/34189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.835 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1645 is divided by 423?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.4, -8, 5\/9, 5 in ascending order.\nAnswer: -8, -0.4, 2\/5, 5\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -802.48 + 833. Round t to zero dps.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**2 + 445135*i + 296750.\nAnswer: 5*(i + 29675)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -956110879.\nAnswer: 956110878.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z**2 + 0*z + (10 - 10 + 12*z)*(3 + z - 3))*(137 - 2 + 5).\nAnswer: 1540*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -840 - -3775. Calculate the remainder when i is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1430880116?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*-1*(-2 - 0). Let p be -3*v*9\/6. What is the remainder when 9 is divided by 141\/27 + 6\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 164\/21 (b) -2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31236423 + -2?\nAnswer: -31236425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 410*q - 13530. Let i be m(33). Let i + 4\/5*s**2 - 4\/5*s**4 + 8\/5*s**3 - 8\/5*s = 0. What is s?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375504 divided by 36?\nAnswer: 31292\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4\/(-39))*280\/42.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 17. Let d be x(7). Solve 0*w**2 + 5*w + 7*w**2 - d*w**2 + 7*w = 0 for w.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-5*(sqrt(175) - (3 + sqrt(175) + sqrt(175) + -1)) + 5)*-5)**2 + 0.\nAnswer: 18750*sqrt(7) + 114999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -30, 14, -252, -214 in descending order.\nAnswer: 14, -4, -30, -214, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from zzyzyyqtztyytytqzqz.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 309 and 3080034.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 + 4*u. Let g(j) = -3*j**2 - 2*j**2 - 4*j - 3*j + 2*j. Suppose -w - 4 = 2. Calculate w*g(t) - 7*o(t).\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*(g**(-2\/9)*g)\/g)\/(g*g\/((g*g\/(g**(5\/2)*g)*g)\/g)*g))\/(((g\/(g**(10\/7)\/g*g))\/g)\/(g**(2\/5)*g)))**(-2\/5))**(-3\/31) assuming g is positive.\nAnswer: g**(-563\/16275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - s + 9. Let b be m(-4). Suppose 0 = 24*q - b*q - 10. Let p = -0.9 + -0.1. What is the second smallest value in p, q, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.11 + 2.1. Let m = 0.09 - u. Let a = 64 + -319\/5. What is the smallest value in m, 1, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x. Let o(i) = 460*i**2. Calculate o(y(a)).\nAnswer: 1840*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10337857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 11:09 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (8 - 15)*1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*a - 1204791 = -428745. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a6 + -5?\nAnswer: -1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117509*o + 4*o**2 + 5*o**2 - 3 - 12*o**2 + 4*o**2.\nAnswer: o**2 - 117509*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/36)\/((-1)\/18). Let k be (-2*1)\/((-2)\/(-3)). Let j = p + k. Solve j*t - 12 = 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h**2 + 46*h**2 - 30*h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2501 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*k - 18*k**4 + 16*k**4 + 3*k**4 + (-2*k**2 + 5*k**2 - 2*k**2)*(-7 + 7 - 4*k**2) in the form b*k**4 + y*k**3 + n*k**2 + x*k + p and give x.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f + 64*f**2 - 19*f + 13*f)*(36*f + 13*f + 143*f).\nAnswer: 12288*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5677 - 5553. Calculate the greatest common divisor of a and 3038.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 6 + 13 + -12 + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + ((-4)\/6 - 5703\/(-9)). What is the second derivative of -m*u**4 + 54*u - 50*u**5 + 4 - 3 + 630*u**4 wrt u?\nAnswer: -1000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 466*t - 487*t + 315.\nAnswer: -21*t + 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((15 + -14)*0\/2)\/1. Suppose f = -m - 3*h - 16, 3*m + 8 + 8 = -h. Let y(w) = -w**3 - 5*w**2 - 2*w + 3. Determine y(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*h**2 - h**3 - 63*h**2 - 37*h + 120*h**2 as w*h + d*h**2 + o*h**3 + v and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0 - 3*a**2 - 1\/42*a**3 - 1\/84*a**4 + 0*a - 1\/420*a**5. Solve f(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*g - 306, 3*z + g - 177 = -0*g. Let j = -61 - -39. Let h = j - -34. Calculate the highest common factor of h and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38234304 a multiple of 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 45 + 3 = 0. Let o be 2\/23 + (1 - (94091\/23)\/(-1)). What is the units digit of 2\/(-4) + o\/b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*h + 168*h - 28679 = -238*h + 4024 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lynnygngpyx. Give prob of sequence np.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -9*y**2 + 3*y + 2. Determine z(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/2 + 127*b**4 + 6108*b**3 - 453688*b**2 - 25583480*b + 52930800 = 0. What is b?\nAnswer: -130, -54, 2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/7)\/p*(p*(p*p**1)\/p)\/p assuming p is positive.\nAnswer: p**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1926 = -11*o + 2694. Let g(r) = 4*r**2 - 3*r - 3. Let n be g(-3). Calculate the highest common divisor of o and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -399739 - -399744. Factor 8\/5 - 2\/5*w**4 - 16\/5*w + 2*w**3 + 2\/5*w**2 - 2\/5*w**i.\nAnswer: -2*(w - 1)**3*(w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -44868.36 and -1.14.\nAnswer: -44869.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2133*x**4 + 2*x**3*z**2 - 4*x**3*z - 42*x**2*z**2 + 5*z**2 + 10*z wrt x?\nAnswer: 51192*x + 12*z**2 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -7. Suppose -n - 17 = 5*g - 3, -2*n - f*g + 12 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Let c = a - 6. What is the third biggest value in 3, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ae9e08 - -1?\nAnswer: 2ae9e09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/(k\/k**7))\/(k*k\/(k*k\/((k**1*k)\/k*k)*k))**(-3\/22))**(-18\/5) assuming k is positive.\nAnswer: k**(-1017\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2. Let q(o) = -o + 10. Give -q(h) - 3*w(h).\nAnswer: h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4698, -4941, -5158, -5349, -5514, -5653?\n\"Answer: 13*d**2 - 282*d - 4429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {w: 2, s: 4, p: 1, j: 6, l: 4, u: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 49 - 2373. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68)*1 + sqrt(68))**2 - sqrt(68)) + 5.\nAnswer: -2*sqrt(17) + 617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 31.22. Let f = 2.78 + k. Which is the smallest value? (a) 1\/3 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 673266 + -180435513\/268. Let u = 6\/67 + d. Which is the third smallest value? (a) u (b) 6 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9773364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 2276*b + 90472.\nAnswer: 4*(b - 526)*(b - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h - 3. Let o be q(-2). Let l(i) = -2*i - 7. Let b(n) = -n - 7. Let u(z) = -3*b(z) + 2*l(z). Calculate u(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5293.92761 rounded to the nearest ten?\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -5*h - 10. Let q = h - 59. Let p = -8 + 5. Sort p, -5, q in decreasing order.\nAnswer: p, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/(-459))\/((-984)\/(-74538)) and 97\/956.\nAnswer: 48756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**3\/2 - 3*p**2\/2 + 16*p. What is the units digit of y(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400*1904.\nAnswer: -761600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 12, -3*p + 4*q - 33 = -2*p. Let l = -9 - p. Calculate the remainder when 13 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.5 - 6. Let d = x - -0.6. Which is the nearest to d? (a) 0 (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*c - 3*f, -12*c - 2 = -9*c - 2*f. Solve c*t + 8 + 0 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7. Let n = 2 - 5. Which is the nearest to -1? (a) 2\/5 (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19586 is divided by 4869.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144900 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11068311\/4 or -0.1?\nAnswer: -11068311\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 16275885*c + 16275890.\nAnswer: -5*(c - 1)*(c + 3255178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w + 3. Let j(u) be the first derivative of -5*u**2 + 4*u + 20. Calculate -5*j(y) + 6*o(y).\nAnswer: -4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 365*b**2 - 20876*b - 707. What is x(-294)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29371536, -29371537, -29371538, -29371539, -29371540?\n\"Answer: -o - 29371535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 770 - 755. Suppose -5*j + 18*w + 117 = c*w, 5*w + 83 = 3*j. Solve -j = -2*b - 31 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.7 - 125.3. Let i = 1593.74434 - 1462.744234. Let j = t + i. What is j rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(170)*1 - sqrt(170)*1*6)\/(sqrt(70)\/(sqrt(1400)\/sqrt(8))).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1239915048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 5*o**3 + o**3)*(2 + 0 - 4) + 2*o**3 - 3*o**3 - o**3 + 2288*o**3 - 2550*o**3 - 2093*o**3 - 2398*o**3 - 340*o**3.\nAnswer: -5091*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -319.1 - -319. Let z = -3 - -2.5. Which is the nearest to 1? (a) z (b) 4\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*j**4 - 27*j**3 - 719*j**2 wrt j?\nAnswer: -288*j - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4171265*m**3 + 28799911*m**2?\nAnswer: 25027590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 235, 286, 385, 544, 775, 1090, 1501?\n\"Answer: 2*s**3 + 12*s**2 + s + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjd when three letters picked without replacement from {v: 4, p: 1, d: 2, j: 8, a: 1, r: 4}.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3301*i = -3331*i - 90 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653 a factor of 87442108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*y**3 + 0*y + 3\/2*y**2.\nAnswer: -y**2*(y - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-83)\/(77688\/1482)*-9)\/((-2)\/(-32)*-3).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -110?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from arrrarrrr.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 5*j + 3*j)*(-j**3 + 3*j**2 - 3*j**2) + (2*j - 4 + 4)*(-3*j + 12*j + j)*(1 - 1 + 2*j**2) as p*j + g + i*j**4 + c*j**2 + f*j**3 and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 75 = 3*q + 37, -5*q + 4*g = -10 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 173308434 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2. Let f(z) = 15*z**2. Give f(s(v)).\nAnswer: 375*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1950.4 - -1661. Let x = k + 421.1. Round x to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -82 (b) -9.03 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2079 - 2070. Solve 6 = m*u - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24307 - 24304. Let q(c) = 2*c**3 - 4*c + 6. Let b(p) = -p**3 + 3*p - 5. What is w*q(k) + 4*b(k)?\nAnswer: 2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) - (2 + -1). Let s = 32 - 31.8. Which is the biggest value? (a) t (b) 6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-2 + 2)\/1. Let o(b) be the first derivative of l*b + 0*b**2 - 1\/3*b**3 + 1\/4*b**4 + 2. What is the third derivative of o(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2502*f + 88468 - 98544 = 225112 for f.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.67, -0.2, 1, -4, -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6974244 to the nearest integer?\nAnswer: 2641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + g**2 + 3*g + 2. Let k be f(-2). Let d = k - -6. Let j be (-10)\/d*(4 - -12). What is j rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.556335426 rounded to 3 decimal places?\nAnswer: -0.556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 465783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 14*y - 8. Let d be s(-13). Solve -3*t - d*u - 20 = 0, 0 = 5*t + 4*u + 11 + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4, -5*v + 3 = -v - 5*f. Factor -15 + 27*z - 62*z - z**v + 27*z + 0*z**2.\nAnswer: -(z + 3)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (18 + -18 - -121)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 20 - 158. Let y = -27 - b. Let j = -16 - -36. What is the smallest common multiple of j and y?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*r - 85*r - 7 + 349*r - 70*r to the form q + s*r and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-1) + -1 + 2. Let l(v) = -2*v + 15. Let p be l(h). Let r(w) = -p + 7 - 5*w + 3*w + 3. Let u(o) = o - 4. Determine -3*r(n) - 5*u(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 9*p + 16. Suppose 9*z + 33 = 6*z. Let b be l(z). Let g = b + 30. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from nsssvoz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75517509?\nAnswer: 3, 67, 375709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11820955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -57822023 rounded to the nearest one hundred thousand?\nAnswer: -57800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.55519209 to three dps.\nAnswer: 0.555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (19*762\/(-2413))\/((-8)\/(-20) + (-138)\/20)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 65 = m + 2*m, -4*l - 2*m = -170. Let r be -1 - -3 - (-5)\/(-1). Let d = r + 17. What is the remainder when l is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -6*r**5 + 1901992*r**4 + 4438004*r**3 + 3170008*r**2 + 634002*r = 0.\nAnswer: -1, -1\/3, 0, 317001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 283 or 9579\/34?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1 + 2 + -4). Which is the smallest value? (a) i (b) 6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6481127 by 2.\nAnswer: 6481127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 319ca + -d?\nAnswer: 319bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14437 + -14437.5. Which is the second biggest value? (a) d (b) 3 (c) -264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -1.7 (c) -1.5 (d) 129 (e) -0.04 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 274 + -190. List the prime factors of b\/8*8\/6.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 23*a - 8 = r, -12 = 4*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Suppose 0 = a*r - 116 + 2. Suppose -3*b = -0*i + i - r, -5*i - 15 = 0. Solve 3*k + b = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 112767?\nAnswer: 112725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + -1 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 785 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 1481*h**4\/12 - 269*h**3\/6 + 1764*h**2. Differentiate p(s) wrt s.\nAnswer: 2962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {b: 5, u: 2, h: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54561.\nAnswer: 3, 13, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-15 - (-5 + -8)) - (-6 - (-6 + -30))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -4.8. Let t = g - 4.5. Let z = -8.1 + 8. What is the nearest to 0.2 in z, 3\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irvl when four letters picked without replacement from {v: 2, i: 1, r: 2, l: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/209 and 8\/6213.\nAnswer: 68343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 69 = -5*m. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(20 - -8)*4. Which is the closest to -1? (a) f (b) -56 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -274*y**3 + 11*y**2 + 34*y - 13. What is the tens digit of w(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, g: 1, d: 1, w: 4, q: 1}. What is prob of sequence kdgk?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 15 = -5*h, -33 = -5*h + h + 5*w. Let g = -4305 - -4311. Calculate the greatest common divisor of h and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p**2 - 5 - 7*p**2 + 2*p**2 - 4 as w*p + u + n*p**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 9:23 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*1\/(-2) + -16. Let t = -9 - u. What is the remainder when 15 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 1\/5*i**6 + 0*i**3 + 0*i**5 + 0*i**4 + 0*i**2 + 1\/14*i**7 - 2*i + 0. Let p(y) = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*2\/4 - (-3)\/2. Let v(s) be the second derivative of 0 - 9\/2*s**2 - 2\/3*s**3 - i*s. Let q(o) = -o - 2. Give -26*q(d) + 6*v(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*s - 1)*(1 - 3 + 0)*(-228 + 244 + 204).\nAnswer: -880*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 - 63. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 3, -17\/16, 21 in ascending order.\nAnswer: -17\/16, -1\/5, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7550 + 3805 + 3745 - 18*i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -322 - -42?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 6*n + 32)*(-61 + 54 + 330 + 398 - 151).\nAnswer: 3420*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:49 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 3449.48\nAnswer: 10348.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 370.982 + -371. What is the nearest to 0.1 in 2\/11, 0.3, 0, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5)\/p)**45\/(p\/p**(1\/3))**46)\/(((p**(2\/7)\/p)\/p**(-5))\/(p\/(p**(-1\/4)\/p))**(-6)) assuming p is positive.\nAnswer: p**(-4681\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61440733.\nAnswer: 257, 239069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -12043.\nAnswer: -12042.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180772.9 tonnes to kilograms.\nAnswer: 180772900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 3491 + 1367. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 20*y - 16. Let g be z(9). Suppose 4*p - l = 475, -p + 85 + 25 = -g*l. Calculate the lowest common multiple of p and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75.98 + -77. Let k = -0.02 - l. Let c = -3 - -4. What is the closest to c in k, -3\/2, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(950) + sqrt(950) + sqrt(950) - sqrt(38) - sqrt(38))\/(-4*sqrt(32)) + 6*(-3 + 0 + sqrt(475) + -1))**2.\nAnswer: -1404*sqrt(19) + 269307\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {n: 1, s: 2, x: 2, y: 4, t: 7}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - o - 2. Suppose 51*s - 55*s = 0. What is p(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*w - 72*w - 12 = 0. What are the prime factors of w - (-6 + 952)\/(-2)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1772803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from fxkkfxxx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x + 28*x + 2*b = -133, -39 = -x - 2*b. Let o be (((-6)\/(-2))\/(-3))\/1. Sort o, 1, x in descending order.\nAnswer: x, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14408*k**2 - 14408*k**2 + 140*k**4 + (0*k**2 + 2*k**2 - 4*k**2)*(-233*k**2 - 228*k**2 + 481*k**2) to z*k**4 + m + g*k**2 + b*k**3 + d*k and give z.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 139*s. Let g(i) = -26*i**2. Determine p(g(f)).\nAnswer: -3614*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (185\/(-50) - (2\/(-1))\/4)*2250\/(-900)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7545 + -1?\nAnswer: -7546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*b + 13. Suppose -b*d - 108 = -16*d. Suppose 5*y - 35 = -5*n, 4*y - 11 = -7. Calculate the lowest common multiple of d and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(28) - sqrt(252)*-1)*1)\/(sqrt(256) + (sqrt(256) - ((sqrt(256) - sqrt(256)*2*-3) + sqrt(256)) - sqrt(256))) + -5.\nAnswer: -6 - sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 56, 1.\nAnswer: 1, 47, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:07 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87 - -80) + -1 + 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1328881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 4*g - 18. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2947 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/3)\/((-1)\/1). Suppose 3*k - f = -i*f + 64, 0 = -3*k - 5*f + 76. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 184 = -176 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 36 = -2*d, -3*n - 7*d + 432 - 222 = -19*d + 6*d + 228 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p + 5*p - 6*p)*(0*p + 0*p + 2*p) - 2*p**2 + p - p.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, g: 3, t: 7}. What is prob of sequence pptt?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r\/(r\/(r*r**(-1))*r))\/(r\/(r\/((((r**(-2\/15)\/r*r)\/r)\/r)\/r)*r)*r**(-5\/3)) assuming r is positive.\nAnswer: r**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 3201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -26. Let k = -10 + u. Let o = 8.2 + -8. Which is the nearest to k? (a) 3 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*k - 25 = 0, 2*y + 3*k + 25 = 3*y. Let x(g) = 16*g + y*g + 8*g + 13. Is x(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 10:15 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5219329 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + -2.2. Let k = w - 0. Let q(j) = j**2 - 4*j + 4. Let y be q(3). Is k less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26399766 or 0.1?\nAnswer: -26399766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11387838 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360627676578 - 26*g - 360627676578.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -353471499391 - 12.\nAnswer: -353471499403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -9359\/12179?\nAnswer: -9359\/12179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/h)**(-11)\/(h**0)**(2\/13) assuming h is positive.\nAnswer: h**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3444111113 (base 5) to base 3\nAnswer: 112200022122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*q - 6*d + 20, 0 = 515*d - 510*d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 130\/(-1 + -1 + 1). Suppose -5*q + 2*j = -982 - 287, -4*q = -5*j - 1022. Let v = y + q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*v - 2*v - 3*v)*(0 - 2 + 0) + 2*v + 2*v - 3*v - 3 + 3 - 2*v)*(-104 + 133 - 88) + 3*v + 9*v - 3*v.\nAnswer: -50*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.2 + -27. Let m = y + 2.8. Let o be (-3 - -2)*(-1)\/(-4). What is the nearest to -5\/4 in 0.4, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*j - 184 - 152 = 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 - 167. Let j be ((-36)\/72)\/(2\/i). Sort -4, -2, j, -56.\nAnswer: -56, -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**3 - 4*a**2 - 4*a + 4. Let o(p) = -p**3 - p**2 - p + 1. Let m = 24 - 25. Determine m*t(s) + 4*o(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 31. Let v be 377973\/w + 6\/8. What is v rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3895 divided by 5?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 - 32*y**2 - 16*y + 128 = 0. What is y?\nAnswer: -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/1*6*16\/(-144)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 16. Give q(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {e: 5, d: 1, w: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3816 and 2544?\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14296155 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -110 - 1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjk when three letters picked without replacement from {j: 4, k: 1, n: 3, b: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17527 (base 10) to base 16\nAnswer: -4477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1215.320769 to zero decimal places.\nAnswer: -1215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 53, 1, -4, 438 in descending order.\nAnswer: 438, 53, 32, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 5*j**2 + 12*j - 5. Let u be (385\/10)\/(-7)*-4. Calculate the smallest common multiple of d(4) and (22\/3)\/(u\/99).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 583\/7 + -83. Let i = -1 - -0.9. Let y = -1 - 3. What is the second smallest value in y, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + -13. Let g be 4\/(-14) + (-1550)\/i. Suppose 3*s = -s + g. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-3.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -19, -5\/8, 1, -4.3, -5\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6650 by 950.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481 divided by -396215.\nAnswer: 481\/396215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + -55. Suppose 0 = -2*c - s, -4*v = 4*c - 2*c - 54. Solve t + 3*t - v = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*q = -88*q + 3. Let x = 3\/65 + -157\/585. What is the nearest to q in 1\/4, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.164, 2.5, -3?\nAnswer: 0.164","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*t + 60*t + 52*t - 174*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -31 (c) 3 (d) -3131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00041225 rounded to six dps?\nAnswer: 0.000412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6552*t**3*v - 3*t**2*v**3 + 4*t*v**3 - 14*t*v**2 + 89*v**3 - 5*v wrt t?\nAnswer: -39312*t*v - 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-20) - 15\/(-2). Solve -4*z = -s + 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1. Let c = x + 6. Let m be (75\/(-10)*2)\/((-3)\/3). Calculate the highest common divisor of c and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2*w)**(1\/7))**14 assuming w is positive.\nAnswer: w**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31*3\/10*-1 and 55\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 293 = 13*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*w + 1. Let s = w + -2. Which is the nearest to 2? (a) -5 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2614076 (base 8) in base 6?\nAnswer: 23330114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 451757 (base 8) in base 15?\nAnswer: 30309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*x - 11. Let o(m) = -m**2 - 5*m + 6. Let d be o(x). Calculate the highest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3 - 11. Is 11 a factor of (-1)\/(-4) + 86\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 39 + 2*t**3 + 21 - 96.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d, 0 = -5*v - 4*d + 7250. Let b(u) = 31*u - 1202. Let h be b(47). Suppose -11*q = -v - h. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9049365*r**3 - 9992781*r?\nAnswer: -54296190*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13188, -13185, -13182, -13179, -13176, -13173?\n\"Answer: 3*v - 13191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18316\/45 + -407. Let f = t - -8\/45. Suppose f*l**3 + 0 + 1\/5*l**2 - 2\/5*l = 0. What is l?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*v - 1667, 0 = 238*a - 241*a - 5*v + 1244. Solve -420*x - 21 = -a*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*-3*(1 + (-5*(sqrt(448) + 2) - (-1 + -1 + sqrt(448))))**2*-1.\nAnswer: 8064*sqrt(7) + 194124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 11:37 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -81805?\nAnswer: 409025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 286*s**2*w**3 + s**2*w**2 - 20*s**2 + 18594*s*w**3 + 3*s*w**2 - 51*s*w + w**3 - 2*w**2 + 483 wrt w?\nAnswer: 1716*s**2 + 111564*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 17 + 25 + 1763\/(-43)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158804 (base 10) in base 4?\nAnswer: 212301110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -453116880 + -0.5?\nAnswer: -453116880.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 27. Let p(w) = -w**3 - 13*w**2 + 15*w + 28. Let k be p(l). Suppose -6*m = -k*m + 1576. List the prime factors of m.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4620 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a hour in minutes?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20608 is divided by 20128.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.162 and 0.2?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*d)*(-26*d - 132*d**4 + 23*d + 8*d - 5*d).\nAnswer: -264*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 270*m - 27. Let r be d(-1). Calculate the least common multiple of 39 and (-5)\/(5 + 1530\/r).\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 e when four letters picked without replacement from neneennnenne.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*1*3\/6. Let u be 0 + 4 + (-2)\/d. Solve 8\/7 + 90\/7*k**2 - 8*k**u - 14*k**4 + 8*k = 0 for k.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 138*c**2 - 120*c - 392. Let m be t(70). What is the highest common divisor of 1638 and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 q when four letters picked without replacement from {d: 2, t: 3, i: 5, q: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 465256 and 11968.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 3\/8, -1\/27, -54?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 + -228.4. Let a = 325 + h. Sort a, -2\/15, 0.5, 4 in ascending order.\nAnswer: -2\/15, 0.5, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -9, -8, -0.5, 5, -16\/13?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1382857 is divided by 1382843?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*s = -113, 3*s - 6 = -3*w + 87. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18606 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 136508392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -60, 2, 691\/21?\nAnswer: 691\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -18 + -17 + (-10 - (-3 + 1))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52461*i = 52469*i - 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421 a factor of 3830663592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/285 - (-634)\/18069.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30 from -216133.2482.\nAnswer: -216103.2482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34, 167, 396, 727, 1166, 1719, 2392, 3191?\n\"Answer: h**3 + 42*h**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-9)\/n)\/n)\/n)**(-42)\/((n*n\/(n\/(n*n**(-1\/38)\/n))*n*n)\/(n**5*n)) assuming n is positive.\nAnswer: n**(19267\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k. Let a(c) = 3*c + 4. Let t(j) = -3*j - 3. Let n(s) = -3*a(s) - 4*t(s). What is h(n(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2652401862?\nAnswer: 2, 3, 11, 19, 26113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -3\/2, 1, 70880?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 22*u + 116. Let d be m(10). Let p = 0.053 - -13.947. Which is the second smallest value? (a) d (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:52 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 = 5*l - 136, 2*l + 7 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -288, -1214, -2834, -5202, -8372, -12398, -17334?\n\"Answer: -9*t**3 - 293*t**2 + 16*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**5 - 125*a**4 + 1396*a**3 - 1836*a**2 - 1760*a + 1600 = 0.\nAnswer: -1, 2\/3, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 8*s - s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l - 66. Let i be n(-7). Solve i*w = 2*h - 4, 3*w + 2*h - 15 = -h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*sqrt(432) - sqrt(432))**2 + 2) + -3 + 4*(-2*sqrt(192) - sqrt(192)).\nAnswer: -96*sqrt(3) + 34567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 6:47 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113.9 - 114. Which is the nearest to -36? (a) -2 (b) l (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l - 4*l - 2*l)*(1 - 3 - 3) + l - 1 + 1 + (3 - 3 + 1)*(-3*l + 2*l - l) - 2*l + l + 3*l - 2*l - 5 + 5.\nAnswer: 54*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 7*k**4\/24 + k**3\/6 + k**2. List the prime factors of m(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d + 1114 + 174. Let h = d - -106. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0)\/((-2)\/(-40)*16). What is the second biggest value in 5, -1.2, j?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-6045)*-26*15\/(-42).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 215586.\nAnswer: 862344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 5:59 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199078, -198520, -197962, -197404?\nAnswer: -196846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 2*y + 5432*y**3.\nAnswer: 5432*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 77. What is the greatest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {s: 10, h: 2, p: 3, i: 1, l: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264648?\nAnswer: 2, 3, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, h: 5}. Give prob of sequence hhe.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-354)\/1593*(-18)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 112?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*3\/(-18)*885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380536 is divided by 76060.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 10*c**2 + 11*c + 7. Let b be j(-8). Let t be (-5*(-2 - -3))\/((-7)\/(-504)). Let l = 16 - t. What is the highest common factor of l and b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 5*j**2\/2 + 1. Calculate the remainder when x(2) is divided by -48 + 56 - 2\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 0*m - 32*m**2 + 0 + 3\/4*m**4 - 37\/6*m**3. What is the derivative of w(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/343 and 93\/98.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3 - 9. Suppose -p - c*b - b = -18, 25 = 5*b. Is (-310)\/(-8) - p\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 7842578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31346*r**2 + 31560*r**2 - 62910*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(-2 - 2 + 5) - 1 + 0 + 3)*(6*d**4 + 5*d**4 - 18*d**4)*(-3*d - 3*d + 3*d).\nAnswer: 84*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-12))\/(4383\/72076)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/((-450)\/400)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20 - 30) + -19 - -44) + 41.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 6*w**2 + 4. What is p(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-1)\/(-10) - (-1)\/2. Which is the closest to 0? (a) l (b) 1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10572544 (base 9) to base 2.\nAnswer: 10011100011011110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 7*q - 13\/6*q**4 + 13\/20*q**5 + 0 + 0*q**3 + 0*q**2. Find the third derivative of d(r) wrt r.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 8) + (-10 - 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 3 - ((9 - 1) + -23) - 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 2*u - 1. Suppose 8 = -5*v - 17, -3*c - 2*v = 4. Suppose 6*m = -10 - c. What is z(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 59 = 3*v, -3*v + 2*v = 5*u - 53. Let m be u\/(66\/168 - (-2)\/(-8)). What are the prime factors of 4710\/m + 2\/(-7)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*o**2 - 7*o**3 + 258*o**2 + 574*o**2.\nAnswer: -7*o**3 + 654*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/3)*a*a)**48*a**(-3\/2)\/(a\/(a*a**(-2\/7)\/a)*a))**(-24))**(-11\/3) assuming a is positive.\nAnswer: a**(96228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*f - 2*j, 0*f - 2*f + 5*j + 24 = 0. Solve -5*z = 5*c + 2 - f, -2*z + 4*c - 16 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2475676519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 8*o**2 - 8*o + 2. Let k(c) = c**2 + 25*c + 90. Let i be k(-4). What is y(i)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*0*1\/3. Suppose 0 = -w*f + 3*f - 9. Suppose f*l = -l. Solve l = -4*v + 3*v, 0 = 5*q - 5*v - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 1 - 34*m**2 + 32*m**2 - 2*m**4 + 0*m**4 to p*m**4 + f*m + h + r*m**3 + i*m**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -282, -599, -1034, -1587, -2258?\nAnswer: -3047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 + (-2 + 8 - 1)*(-1 - 2 + 5))*(27*c**3 - 28*c**3 + 28*c**3)*(2*c - c - 2*c).\nAnswer: -324*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 1:12 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*r = 12*r + 61000. Let x = r + 2225. List the prime factors of x.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 4 (c) -69 (d) 28 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 9*v**2 + 7 + 9\/4*v**4 - 5\/2*v**3 + 0*v. What is the derivative of s(x) wrt x?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82193467193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c - 5. Let b(d) = 4*d - 2. Let x(z) = 5*b(z) - 2*q(z). Let f(j) = 9*j**2. What is x(f(r))?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 18*a**2 - a**2 - 8*a**2 - 7*a**2 - a**2 - 5. Let l be g(-5). Calculate the greatest common factor of l and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**2 + 9*j - 15. Let m(s) = 4*s**2 - 9*s + 14. Let f(n) = -6*m(n) - 5*v(n). Let h be f(-10). Suppose 4*z = 5*g + 575, -g + 0*g = -h. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 73, 159, 267, 391, 525, 663, 799?\n\"Answer: -y**3 + 20*y**2 + 5*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -j + 3*j + 4*x, -16 = 4*j - 2*x. Put 5, 2, j in descending order.\nAnswer: 5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7))**19 assuming q is positive.\nAnswer: q**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u - 34*u + 15*u - 4763*u**2.\nAnswer: -4763*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 3*t**2 + 5*t - 1. Let n be x(4). Suppose -3 = -3*u - 3*f + 21, 4 = 2*f. Let a = u + -2. Is a <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 88.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (35 + (9 - 23)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 34928.38 to the nearest 100.\nAnswer: 34900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217643 to the power of 1\/2, to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*m + 8 - 8 + (-3 + 5 - 4)*(4*m - 2*m + 0*m) + 3*m - 6*m + 2*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/1)\/((-2)\/2). List the prime factors of (4 + -5)*l\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + 3*sqrt(130) + sqrt(130))*-4)\/sqrt(10).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*h**2 - 44*h**2 - 6*h**2 - 47*h**2 - 210*h**4 + 13*h**2 wrt h.\nAnswer: -5040*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/14*-7*(-75)\/(-220)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:15 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*p**2 + 55*p**2 - 114*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in centimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/12)\/((-2)\/(-8)). Let r(z) = u + z - 2 - 3 + 5. Let g be r(3). Solve -g*m + 4 = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315, -313, -301, -273, -223, -145?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12, -4\/7, 0.01, 3, 118?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -654755 + 17026169\/26. Let m be 3\/(-3) - 386\/4. Let v = w + m. Which is the third biggest value? (a) 0.3 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by ((-21)\/1 - -2)*-1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 363 and 165.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 3) + 3 - -15 - 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1469*a + 1509*a - 342 + 1342 = 0 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0*i + 1, 0 = 3*a - 5*i - 14. Solve -2*q + 5 = -a*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*c - 106*c + 63*c - 1736 = 0 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*d - 208, 6*d - d = -2*t - 74. Is -49 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - -6 - 16\/196*28. What is the fifth smallest value in -4, -5, p, 0, 0.005?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + 46 + -37 + -43.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -174 + -18?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030269491 to six dps.\nAnswer: -0.003027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 2. Suppose -l = 3*o - 16, 2*o + 4*l = l + 20. Let r be g(o). Is 11 - (-2 + 3)*r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576 = -35*a - 37*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1186\/5 - 4749\/20. What is the biggest value in 4, -3\/5, 0.1, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 10*j = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a + 5. Let k be j(-5). Let n = -1 - k. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.42678 rounded to the nearest integer?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - 27*m**2 - 692*m - 15. Calculate the remainder when 7388 is divided by v(-13).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8593868869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 9*a + 5*d + 10 = 0, 3*d = 16*a - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12146, -12151, -12158, -12167, -12178, -12191?\nAnswer: -12206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0105813 rounded to four dps?\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 143, 324, 577, 902, 1299, 1768?\nAnswer: 2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 96*y**2 - 2*y - 204. Calculate r(-96).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 12 = -4*c. Suppose 2*l + c = -4. Let j = 0.014 - 0.014. What is the third smallest value in j, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 12*d - 137. Let a be q(16). Suppose -l = -4*z + 6, -3*z + a = 5*l - 6*z. Calculate the least common multiple of 21 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9130759 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Suppose -69 = -4*a + f*c, a - 2*c - 30 = 3*c. Suppose 4*k = -k + a. Solve 0*g + 15 = k*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppipppi. What is prob of picking 1 i and 2 p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11158700 to the nearest integer?\nAnswer: 3340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-18) - (-6400)\/45. Suppose -2*t + 5*t + b = x, -4*x + 29 = -t. Let m = -32 - t. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 122913842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -10617 and -13155 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u + 3. Let f be o(2). Let p = 7 + f. Suppose a = -p*a - 140. Round a to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 - h**2 - 44*h + 43. Determine g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**3 - z. Let m be 4\/(4 + -5) + (-6)\/(-1). Let g(u) = 4*u**3 - u**2 - 4 - 4*u + 7 - 3*u**3. Let t be g(m). Determine x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21251515 (base 6) to base 7\nAnswer: 5226503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34388079 equal to 378268878\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 650 = -0*s. Suppose 12*m = 10*m + s. What is the greatest common factor of m and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: What is the eighth root of 530 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*h + 2*n, -7*h = -4*h - 4*n - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2925 by 195.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1450545908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) - (sqrt(972)*2*6 - sqrt(972)))*-6)\/(-5*(sqrt(28) - sqrt(112) - sqrt(28))\/sqrt(7)*-4).\nAnswer: -27*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*(30\/(-8))\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**7\/105 + 31*t**6\/120 + t**5\/30 + 745*t**3\/3 + 1649*t**2. What is the first derivative of w(o) wrt o?\nAnswer: 8*o**3 + 93*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - sqrt(320)*-1*4) + 3 - (sqrt(100)*2*4)\/((sqrt(180)*2 - sqrt(5)) + sqrt(5)).\nAnswer: 3 + 116*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157956779.\nAnswer: 1193, 132403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341 and 154?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/8642 and 89\/8.\nAnswer: 34568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 10. Let d be v(8). Solve -c = 2*x - 11, -3*x = -3*c + d*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 a when three letters picked without replacement from {e: 1, a: 2, k: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2. Let y(h) = -771*h + 3159. Give y(n(q)).\nAnswer: 2313*q**2 + 3159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**9\/t)\/t)\/t)\/t**(-2\/19)*t**(-2\/5)\/t**1*(t**(-2\/9))**(2\/7)\/(t*t**1)**25 assuming t is positive.\nAnswer: t**(-271469\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 13*t. What is w(-3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(2*v + 2 - 2*v - v**2) as u + f*v + w*v**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7741 - 7678. What is the remainder when 3968 is divided by l?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.156 * 87.1\nAnswer: -13.5876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -2. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31226742 - -0.4\nAnswer: 31226742.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3364969?\nAnswer: 23, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 45 = a, -2*h + 5*a + 5 + 60 = 0. Suppose -4*z = h, 0 = -4*j + 4*z - 3*z + 29. Calculate the least common multiple of j and (-4 + 2)*(-1 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5 = -m, 5*y - 6 = 4. Suppose -141 = -m*s + 456. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23392 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 3*s**2 - 2*s**2 + (14*s + 15 - 15)*(3 - 1 - 1)*(-610 + 610 - 9*s + 1 - 1 + 2*s + s + s + 0*s + (-s + 2 - 2)*(1 - 1 + 1) - 1 + 2*s + 1).\nAnswer: -55*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdossosgosxs. Give prob of picking 1 o and 1 x.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 44 = 4*q, -2*q + f = -3*q - 10. Is 18\/5*(-15)\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k + 7*k + k + 2)*(-2 + 2 - 2*k - 2*k**3).\nAnswer: 2*k**4 - 4*k**3 + 2*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1918 - 3502 = 54*i - 1854 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-6 + 2))\/(-2). Let h = -290 - -291. Which is the biggest value? (a) -0.06 (b) r (c) h (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -41. Solve -3 = -i*w - w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 36. Suppose -x*m = -2 + 11. Let w(g) = -9*g**3 + 4*g**2 + 5*g - 5. Is w(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-4)\/(-16)*(675\/(-5))\/9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, 3, 0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -767430 and 64?\nAnswer: 767494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/18)\/((-10)\/6). Let r = -6 + 8. Which is the nearest to 1\/2? (a) q (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.302217 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -25*v + 53. Let m be g(2). Factor m*k**3 - 6*k**2 - 7*k**2 + 6*k**3 - 22*k.\nAnswer: k*(k + 1)*(9*k - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -11*o**3\/3 + o**2\/2 - 17*o + 23. Let q(l) = 7*l**2 - l + 11. Let t(d) = 5*f(d) + 8*q(d). Give t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 328, 291, 254?\n\"Answer: -37*u + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 4*v + 5*v)*(0 + 2*v**2 + 0)*(-v + v - 3*v).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + n**2 - 6 + (-n - 3*n + 0*n)*(6*n - 6 + 6))*(4 - 1 - 1) as j*n + g + u*n**2 and give u.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (3 - 11 - -15 - 19) + (-14 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cttxxmctwtx. Give prob of sequence wm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 1. Let m(l) = -3269*l + 1401. Give -m(h) + 1401*o(h).\nAnswer: 467*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3973043 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8757\/157626)\/(3\/36*-67).\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 104397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k*q**3*r**2 - k*q**3 + 15*k*q**2*r**3 + k*q*r**2*s - k + q**3*s + 16*q**2*r**3*s wrt s.\nAnswer: k*q*r**2 + q**3 + 16*q**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69764751 and 2.\nAnswer: -69764749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2309685, -2309729, -2309803, -2309907, -2310041?\nAnswer: -2310205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 e, and 1 h when four letters picked without replacement from ecoehcc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9 or -52131?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)*z\/(z\/z**(-1\/4)))\/(z**(-1))**22*(z**(-2\/9)\/(z\/(z\/(z*z*((z\/(z**(-3)*z))\/z)\/z*z)*z)))**(-2\/55) assuming z is positive.\nAnswer: z**(14579\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21628414 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -45, -94, -153, -216, -277?\n\"Answer: h**3 - 14*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*l + 3, -q + 8 = -2*l - 7. Let s be (-6)\/(-1 + 4) - l. Determine n so that -24 - s*n**3 + 6*n**3 - 18*n**2 - 4*n + 40*n + n**3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18831370 + -5?\nAnswer: -18831375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 - 19082*r**4 - 91011597*r**3 + 182080444*r**2 - 91049764*r.\nAnswer: -r*(r - 1)**2*(r + 9542)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 16) to base 7.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2, -2*o = -7*o + 2*b + 44. Let w(m) = -4*m + 97*m**2 - 5*m + o*m. Is w(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 11\/12 (c) -2\/13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106 - -114. Let l = 16 - b. Solve -2*h + g = -3*g + 16, 4*g = l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 6*u**2 + 12*u + 7. What is h(-5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 263\/104 + -28\/13. What is the closest to -1 in 3, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-339)\/60 + 770\/175?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*l + 4*l - l)*(-5 + 3 - 2) + 6*l - 3*l - 2*l)*(-3*l**2 + 3*l**2 - l**2) to the form k*l**3 + f*l**2 + i*l + x and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2 + 21*y + 13. Let q(m) = m**2 - 5*m - 3. Calculate -2*d(h) - 9*q(h).\nAnswer: -3*h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -39403*g**2 - 275817*g + 25. What is o(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4739*a + 28427. What is o(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59824607?\nAnswer: 59824607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b - 14 = 2*q, -3*q + 11 = 5*b. Suppose 3*z + 14 = -b*m - 87, 5*m - 4*z = -103. Is -22 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from frfrffrrrr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502 != 2501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30243400 plus 0.3?\nAnswer: 30243400.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*s - 19 = -3, 2*s = 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -35?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 4099*a**5\/5 + 1664*a**3 - 4467. What is the third derivative of y(t) wrt t?\nAnswer: 98376*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77375 (base 16) to base 15.\nAnswer: 99a3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 659840986 to the power of 1\/2, to the nearest integer?\nAnswer: 25687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -6. Let x be ((-1)\/2)\/(3\/c). Is (-1)\/x + -4 + 19 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2*g + 6823*c**2 + 14*c*g + 18*g wrt g.\nAnswer: -c**2 + 14*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + o + 18, -5*o + 901 = -4*c + 927. Solve -2*i + d - 10 = 0, 2*d - 21 = 5*i + c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80847, 158341, 235833, 313323, 390811, 468297?\nAnswer: 545781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -478 by -21.\nAnswer: 478\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11741 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 23*j - 52. Solve -j*n + m + 12 = 0, -5*m = 3*n + 2*n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 903 and 92579.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15285 divided by 28.\nAnswer: 15285\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312810 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-298)\/20)\/(2 + (-65)\/30). Let z = t - 88. Does z = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) 0 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 93, -7, 4 in descending order.\nAnswer: 93, 26, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m - 171. Let u be x(19). Suppose j = 3*o + 11, -2*o - 2 - 2 = -4*j. Do j and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 39*d - 3\/20*d**5 + 0*d**2 + 0*d**3 + 1\/6*d**4 + 0. What is the third derivative of w(s) wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-4 - 4) - -14) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33391 divided by -3?\nAnswer: 33391\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(6825\/(-10)))\/(((-10)\/(-15))\/(-2))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 1. Let y(l) = 15*l**3 - 1. Calculate 3*w(r) + y(r).\nAnswer: 18*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(12\/(-16)). Let w(k) = k**2 + 8*k + 2. Let f be w(-8). Solve -f*i - z = -0*i, 4*i = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(10\/20*(-30)\/(-25))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0045685 to five dps.\nAnswer: 0.00457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -942*y**3 - 948*y**3 + 1893*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.022202?\nAnswer: -0.022202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:11 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2 = y - 11, 0 = -3*m - 4*y - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - c**3 - c + 2*c - c - 3*c - 2. Let u be h(-2). Suppose 406 = -u*a + 7*a. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -241, -949, -2135, -3799, -5941, -8561, -11659?\n\"Answer: -239*s**2 + 9*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + t = 9000, -299*t + 295*t - 26951 = -3*s. What is the highest common factor of s and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 284235 and 525?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/5 - 10*r - 240 = 0. Calculate r.\nAnswer: -15, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3\/3 - 3*l**2\/2 + l + 4. Let q(r) = -4*r**2 - r. Suppose -2 + 7 = -b + 4*s, 2*b - 3*s = -5. Let d be q(b). What is j(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1588 divide 8685444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(252)))**2 + -1 + -2 + sqrt(847).\nAnswer: 35*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 3. Let i be u(-7). Suppose 0 = -4*w + 8 + i. Suppose 473 = 5*l - 3*p + 4*p, -p = w*l - 283. Calculate the highest common divisor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3432 and 13728.\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.68 and 692335.\nAnswer: 692336.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 13. Let h be d(-7). Let i(m) = m**3 + 7*m**2 + 4*m - 6. Let q be i(h). Solve -q*j = -j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41652, -83290, -124928?\n\"Answer: -41638*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 + 2 + (13 - -4) + 10 + -47?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 756*b + 792*b + 799*b - 2347*b + 7864.\nAnswer: 2*b**2 + 7864","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a litre in millilitres?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = -3*q. Let p = q - -4. Suppose -h = 5*o - 9, -4*h - 7 = -p*o + 3. Is h != -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(600)*2*-4)\/(sqrt(200)*-1 + sqrt(200) + sqrt(198)\/sqrt(11)).\nAnswer: 80*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (51\/(-6))\/(3\/(-6)). Suppose o*q = 13*q - 1116. What is the tens digit of q\/(-4) - 12\/(-48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.8? (a) -18153 (b) 0 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 3639699*r\/4 + 4094631\/2.\nAnswer: 3*(r - 303306)*(4*r - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 6. Solve 3 - 4 - 2*a**4 - 18*a**2 - 4 + 1 - f*a**3 - 14*a = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcrrrcrrccrc. What is prob of picking 2 r and 1 c?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3833?\nAnswer: 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/61880 and -27\/80?\nAnswer: 123760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*x - x + 1008. Is 31 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 237, 825, 1971, 3861, 6681, 10617?\nAnswer: 15855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(63))**2 + 0.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5967494 divided by 4.\nAnswer: -2983747\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 307*w**6\/40 + w**5\/30 - 251*w**3\/6 - 1730*w**2. Find the third derivative of m(u) wrt u.\nAnswer: 5526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 326 * 0.6.\nAnswer: 195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000647 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 5*k**3\/3 - 3*k**2 - 187*k - 38. Is d(36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2925.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60\/(-75) - (78\/(-10))\/1. Is 233 - 3\/21*i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:00 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -7*j + 350. Suppose 5*w + j = 61. Solve -3*v + 3*z + 29 = v, w*v = 4*z + 32 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 640 and 12?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.04, -0.2, 16, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 551 and 3?\nAnswer: 1653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1162 + -1160. Let y(a) be the first derivative of 0*a + 0*a**3 - 4*a**x + 0*a**4 - 8\/5*a**5 - 6. Find the second derivative of y(p) wrt p.\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 1078466584.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*g - 27, -115 = 46*g - 41*g + 5*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 20 = -25 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7)\/(x\/x**(-6)))**(-14\/13))**34 assuming x is positive.\nAnswer: x**(3468\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, -3, 0.5, 2, -0.1 in increasing order.\nAnswer: -134, -3, -0.1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 12*i - 3*i)*(12*i + 5*i + i).\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 59. Let a = -17 - x. Suppose 8*b + a = 11*b. What is the remainder when 37 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -13 - -3 - (6 + 0 + -4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2 (b) 5\/26 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 6 + t**2 + 0*t - 1\/2*t**4 + 0*t**3. Find the second derivative of n(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4 = -2. Solve 2 = v*s - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1886219004.\nAnswer: 2, 3, 37, 419, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*o + 13*o - a + 1, 0 = 3*o + 5*a - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 8:28 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*0\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y + 4. Let o be l(1). Let u(a) = 1. Let z(r) = -3*r + 4. Let q(x) = -x. Let g(m) = -2*q(m) + z(m). Calculate o*u(s) - 2*g(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((4 + sqrt(325))*-1)**2.\nAnswer: 40*sqrt(13) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*-1 + 846\/429. Let c = 2\/11 + u. Let k be (-40)\/42 - (150\/(-35) - -4). What is the closest to -0.2 in c, 0.4, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2183 and 23606?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i - 16. Let c(j) = 3*j + 17. Give -3*c(f) - 2*d(f).\nAnswer: f - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 524687 - 524684. Find g, given that 5\/2*g**b - 1\/4*g**2 + 1\/4*g**4 + 0 - 5\/2*g = 0.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) -34 (c) -2 (d) -248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - -30 - -30) + -38.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23\/4 (b) -0.5 (c) -1\/3 (d) 127.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(243) - (sqrt(243) + 3)**2) + (sqrt(9)\/sqrt(3))**2 + sqrt(3) + 5.\nAnswer: -241 - 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 3*l - 2. Let c = -42 + 40. Give z(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*v + 122 - 892 = -87*v. Let d(g) = 14 - 1 - g - 2 + 2*g. Let q be d(-8). What is the third biggest value in -5, v, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*i - 30054*i**2 - 21*i**3 + 15024*i**2 + 15029*i**2 to the form z*i + n*i**3 + f*i**2 + u and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-27))\/(-1) - (-908)\/36. Suppose -l*d + 549 = -126. Calculate the remainder when d is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (177*w + 255*w + 194*w)*(4 - 2 + 0) - w - 9*w + 14*w.\nAnswer: 1256*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a - 647. Determine k(45).\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7124113?\nAnswer: 331, 21523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.078 + -0.07800547. What is p rounded to seven decimal places?\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + sqrt(117) + 0 + sqrt(117) + -3)**2.\nAnswer: -2345 - 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1615.74069 from -826.\nAnswer: -2441.74069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 = -4*b, 8*b = 13*b + 3*i - 11. Put -1, b, 5 in increasing order.\nAnswer: -1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138423942 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 12*s**2 + 11*s - 12. Calculate z(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 2:01 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 8:27 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 822535754 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(3))*-1*3 + (sqrt(6912)*-2)**2.\nAnswer: -3*sqrt(3) + 27657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let b = 23.0000006 - 23. Let t = b + y. What is t rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 7) in base 2?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 1143.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/7 + 156*x**2\/7 - 5472*x\/7 - 213712\/7.\nAnswer: 4*(x - 37)*(x + 38)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**3 + 1366863*z**2 - 155645704245*z - 10746062213175 = 0.\nAnswer: -69, 227845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 1 + 4*j - 3*j. Let s(r) = -1. Let n(m) = -k(m) - 5*s(m). Let y be n(-3). Solve -4*v - v = -y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + 3*(5 + 1*sqrt(684) + sqrt(684)) - -2*(4*2*sqrt(684) + sqrt(684) + (sqrt(684) - (-2*sqrt(684) + -4))))**2.\nAnswer: 18000*sqrt(19) + 1232450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 43*i - 865. Give l(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*q - 23 + 82 - 17 - 42.\nAnswer: -196*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*f**2 + 547 + 2*f - 547 + (12*f - 4*f + 3*f)*(f + 5*f - 2*f) + 4*f**2 + 4*f**2 - 7*f**2.\nAnswer: 27*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) -534 (c) -32 (d) -2\/37 (e) 1 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16083\/2, 4, -0.1.\nAnswer: -16083\/2, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12078877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 0 + 1\/2*m**3 + 28*m**2 + m. What is the tens digit of p(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 9:12 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 - 60. Let j = n - 64. Is (-868)\/j - (2 - (-10)\/(-6)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440576072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219 or 4576\/21?\nAnswer: 4576\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7}. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2318*b**2 + 1780*b**2 + 2146*b**2 + 13*b + 362*b**2 - 2.\nAnswer: 6606*b**2 + 13*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4893 is divided by 542?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 190 - 160. What is the lowest common multiple of 77 and 348\/10 - 3\/p?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*(s\/s**0*s)\/s)\/(s**(-1))**(-23)*(s**2)**(1\/5)\/(s**1)**(-12\/7) assuming s is positive.\nAnswer: s**(-871\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 10. Let b be ((-4)\/5)\/(a\/15). Suppose -3*c + 2*w = -13, 0*c - 2*w = -b*c + 10. Solve c*v - 16 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47767*-0.4\nAnswer: -19106.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*r + 5 = 0, 6*w - 5*w = 3*r - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:06 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1507372?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c - -9e234?\nAnswer: 9e290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 4590.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 15 = -o. Let n = -3 - o. Find h such that -4\/11*h**3 + 0*h**n - 2\/11 + 4\/11*h + 2\/11*h**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19122 - -19122. Let t(l) be the second derivative of -1\/2*l**3 + 0 - 3\/20*l**5 - 1\/2*l**4 + i*l**2 - 43*l. What is x in t(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - c = 189, -5*u + 5*c = -67 - 173. Calculate the remainder when u is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 482162*z**2\/7 + 94272*z\/7 + 4608\/7.\nAnswer: 2*(491*z + 48)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-10) + (-265144)\/(-40480).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -2, 1, -5, 8.\nAnswer: -5, -2, 1, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 8*v + 4. Let f be y(7). Let r(n) = n**3 + 8*n**2 - 11*n + 4. Let p be r(-9). Calculate the greatest common factor of f and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/3 + 9342*h**2 - 36062650*h + 68216545462\/3 = 0.\nAnswer: 779, 6617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {w: 1, j: 1, d: 1, n: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 429421609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c + 7579 - 7609 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 6, o: 3, c: 4}. What is prob of sequence hhv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37367 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 6. Let w = -10 + 10. Suppose w = 3*n + 38 - 5. What are the prime factors of x(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201323482 take away 1374?\nAnswer: 201322108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/386595 and 89\/51546?\nAnswer: 773190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 230 - 144. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = -26 - 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = l + 2*q - 21, 4*q = 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110288.78 + -5?\nAnswer: -110293.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggoogigogrogxgg. Give prob of sequence gg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.49 and -211906.4.\nAnswer: -211906.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 103*l**2 - 1 - l + 2 + 6 + l**3 + 0*l**3 as m*l**2 + h*l + b + g*l**3 and give m.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 15*p - 31. Give v(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, s: 3, h: 7, r: 5, b: 2}. Give prob of sequence hbhb.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l + 60*l = -1, 7 = 2*x + 5*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 618670 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-10))\/((-6)\/420). Calculate the remainder when 19 is divided by (-8)\/q - 102\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5179?\nAnswer: 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/14*(-1)\/3*-1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 307569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 34, 70, 90, 88, 58, -6, -110?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/7)*v)\/(v*v**(-1\/12)\/v))**(-4\/21)*((v\/((v*v*v**(-3))\/v))\/v**(-1\/4))\/(v**(2\/11)*v*v**(-7)) assuming v is positive.\nAnswer: v**(174067\/19404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 121088\/(-17028) - (-42870)\/6021\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.8 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4, -2, -37, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*j**2 + 3*j - 4*j**3 + j**3 + 26*j**2 + 2 as n*j**3 + q*j**2 + r + g*j and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 + 70 = -49*f + 3*f. Let t(a) = 10*a - 25. Determine t(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.762 + 0.138. Let y = 8 - z. Let q = 2.1 - y. Which is the second biggest value? (a) 3\/2 (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46170 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 75. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 376, 809, 1412, 2191, 3152, 4301, 5644?\nAnswer: 7187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*n - 8*n - 4836. Suppose -n*m = -387*m - 50608. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2434*c**3 - 31*c + 31*c.\nAnswer: 2434*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.823891 rounded to 0 decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 3*h**2. Let x = 7 - 11. Let d be (1*-2)\/(x\/(-6)). Let j be -6*((-3)\/(-2))\/d. Give s(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-60)*8)\/(12\/150).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 r when three letters picked without replacement from {y: 4, r: 2, g: 2, x: 5}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 150 = 2*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13283181, -13283177, -13283173?\nAnswer: -13283169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + a = -9, 8*a - 13 = 3*u + 10*a. Put -5, u, 5, 12, 7 in decreasing order.\nAnswer: 12, 7, 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67771 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -846830 rounded to the nearest ten thousand?\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, a: 2, k: 4}. What is prob of picking 2 k and 1 d?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 411 and 27.\nAnswer: 3699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*s, -5*s - 44 + 4 = -5*k. Let d be 4*(1 + s\/(-16)). Solve -2*i = -1 + d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1052.\nAnswer: -1\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -18. Suppose 0 = -2*x + 2*o + 204, -4*o + o = y*x - 194. Suppose 2*z + 2*z = x. Solve -6*v - z = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -144722 - -5?\nAnswer: -144715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1069050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, 20, 48, 76, 104, 132?\n\"Answer: 28*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + t - 26243 = 6*x, 2*x + 5*t - 17478 = 0. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.59 or -6.35?\nAnswer: -6.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010429 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12829613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - 220121311?\nAnswer: -220122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i\/i**1*i)**(-3\/4)\/(i**(2\/5))**(17\/2))**(-3\/14))**(24\/11) assuming i is positive.\nAnswer: i**(1017\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287514 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 9:57 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 31, -3 in descending order.\nAnswer: 31, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 112*j + 153*j + 219 - 262*j + (1 + 2 - 6)*(2*j + 4 - 4) + 2*j - 1 + 1.\nAnswer: -j + 219","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 82904041.62 less than -0.2?\nAnswer: -82904041.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-7\/6)*(t*t*t**(-14))**(-6\/19) assuming t is positive.\nAnswer: t**(565\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7779.581 meters to nanometers.\nAnswer: 7779581000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8055.803 kilograms to tonnes.\nAnswer: 8.055803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -92214*b**3*l*m**2 + 1129023*b**3*m - 9*b**2*l*m**3 + 9*m**3 wrt l?\nAnswer: -92214*b**3*m**2 - 9*b**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 886 a factor of 903450656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjsjjlsslljsj. Give prob of sequence lshs.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*w**4 - 9933*w**3 + 8*w**2 + 26169210*w?\nAnswer: 324*w**2 - 59598*w + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -632224 * 0.117\nAnswer: -73970.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 20*o + 37. Calculate the lowest common multiple of b(-18) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3112896 is divided by 67667?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by (1\/(-1))\/((-12)\/420).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 501220183 to the nearest integer?\nAnswer: 22388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 13*h**2 - 8*h - 5. Let q(i) = 49*i**2 - 32*i - 21. What is 9*d(o) - 2*q(o)?\nAnswer: 19*o**2 - 8*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 11.75. Let d = 0.15 + x. Let r = 59\/140 - 6\/35. Which is the closest to r? (a) 2 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 509*n + 27451. Give x(-54).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/16128 and -119\/394056?\nAnswer: 88268544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnth when four letters picked without replacement from {n: 1, t: 3, s: 5, z: 3, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + 77 - (0 - 81) - (20 + -17 + -11).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6448, -6434, -6412, -6382, -6344, -6298?\n\"Answer: 4*d**2 + 2*d - 6454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 27535.018748.\nAnswer: -27534.518748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -72200*a**2. Let v(m) = -768*m**2. Calculate v(b(t)).\nAnswer: -4003461120000*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-15) + 2)*6. Let g = -88\/15 - -6. Factor 0*j + g*j**s + 4\/15*j**2 - 2\/5*j**3 + 0.\nAnswer: 2*j**2*(j - 2)*(j - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/7)\/(4\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1874 + -12?\nAnswer: 1862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18259995 to the nearest integer?\nAnswer: 4273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97879*h*o**3 + 13309*o**3 with respect to h.\nAnswer: 97879*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-918)\/(-81))*(-264)\/(-55).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 8784580.\nAnswer: 8784580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {v: 2, l: 3, m: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1048 or -2\/138813?\nAnswer: -1\/1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -4*q - 26. Suppose -3542 = -q*c + 1879. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 12*b**3 + 2*b**2 + 4*b + 5. Suppose -12*r + 3 + 33 = 0. Is m(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 4*u. Let v(w) = w + 1. Let c = 30 - 27. Let r(q) = c*v(q) - t(q). Calculate r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(98)*-2)**2*2 + sqrt(98)) + 5.\nAnswer: -4699 - 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1045.95501 - 14985.\nAnswer: -13939.04499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -711*v**2\/2 - 229*v - 323. Find the first derivative of r(q) wrt q.\nAnswer: -711","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(840\/20))\/(((-4)\/(-14))\/(912\/(-42)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + d - 3 = -d, 0 = 5*n + 5*d. Suppose -n*k = -3, -j = 2*j - 5*k + 11. Let s be -1 - (2 + j + 3). Do s and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 90 - (7 + 15\/(-5)). What is the second derivative of -106*g**2 - r*g**2 + 0*g + 12*g + 178*g**2 wrt g?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w**2 + 2*w. Let f(d) be the second derivative of -d**4\/2 - d**3\/6 - d. Let g(b) = 7*f(b) + 4*k(b). What are the prime factors of g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 784.5888 weeks to hours.\nAnswer: 131810.9184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 = -44*g + 790 - 25. Calculate the remainder when 38 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1358576334?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -16*r - 8. Let t(d) = d + 2. Determine -i(y) - 5*t(y).\nAnswer: 11*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 7) in base 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.04, -291\/71 in ascending order.\nAnswer: -291\/71, -1, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(6)\/(sqrt(2) + sqrt(162)).\nAnswer: -2 + sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g + 12. Let n(i) = -26*i + 36. Let u(t) = 14*k(t) - 5*n(t). Let p = -2 - -10. List the prime factors of u(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/3 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 87.8216 nanograms?\nAnswer: 0.0878216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1. Let d(f) = -2*f + 5. Let n(t) = t**2 + 5*t - 20. Let a be n(-8). Let p be 3*(a\/(-12))\/((-3)\/(-9)). Calculate p*d(w) + 15*q(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - l**2 - 4*l)*(-4 + 0 - 3*l + 3).\nAnswer: 3*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 11:50 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k**3 + k - 2*k**2 + 1 - 3 - 11*k**3. Let l be q(-2). Let o = -157 - -158. Is o greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 2*i**2 - 52*i + 2. Let z be m(10). Suppose 262 = -4*a + z. Sort 11, a, 1, -3 in increasing order.\nAnswer: -3, 1, a, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 63\/(-18)*((-22)\/7 + -2). What is the units digit of (-11078)\/(-13) + i\/(-117)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, 190, 476, 824, 1216, 1634, 2060?\n\"Answer: -3*l**3 + 58*l**2 + 53*l - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21235318?\nAnswer: 2, 13, 816743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 14*p**2 + 14*p + 109. Calculate the remainder when 370 is divided by s(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(3*2\/10). Let d = -2138 + 2268. What is the greatest common divisor of d and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/11 and (176\/33)\/(34\/(-9))?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/13)*v**(2\/89))\/((v\/(v*v**(6\/5)))\/(v*v\/(v\/(v\/v**(7\/4))*v))) assuming v is positive.\nAnswer: v**(30513\/23140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 20 = 0, -20*v - 56 = 4*n - 16*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/548 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 12:09 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 + 243. Let v = m - 246. What is the remainder when v is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - (-3 + -2 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 - 8 = -2*o, -x + 30 = -5*o. Put o, 6, 0 in increasing order.\nAnswer: o, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from lllq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f - 12. Let z be i(-6). Let g be (-2)\/(-5 + 4) + z. Suppose 7 = 5*y - g. Solve -4*v = -y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 110 = 5*z, f + 4*f + 15 = 0. Suppose -z = -3*i + 11. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4293189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 6:40 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680928*a - 40889 + 340467*a + 20445 + 20444 + 340470*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 15*t + 24. Solve t = 5*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r**2 - r + 1. Let y(u) = -191*u**3 - 9*u**2 + 11*u. Let n(b) = 5*q(b) + y(b). Is n(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 218\nAnswer: -1\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8210*f**4 + 6447*f.\nAnswer: 98520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-612)\/378 + (-8)\/(-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -14332201030?\nAnswer: 14332201031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/5 - 62*v**2\/5 + 28*v\/5 + 6.\nAnswer: 2*(v - 15)*(v - 1)*(2*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.7 + -0.3. Let n = w - -3. Let g = -0.1 + n. Which is the third biggest value? (a) g (b) 1\/6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**3\/5 + 15363*v**2\/5 + 20173041*v\/5 + 1283531529\/5 = 0. Calculate v.\nAnswer: -2527, -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1087026 and 157540.\nAnswer: 10870260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 33280780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 249393785 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) 6\/17 (c) 0 (d) -0.5 (e) 2699\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 34, 100, 2 in ascending order.\nAnswer: -2, 2, 34, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i. Let n(p) = 15*p - 5. Let g(z) = -z + 1. Let u(y) = -5*y. Let o(m) = -3*g(m) - u(m). Let b(s) = -6*n(s) + 10*o(s). Determine b(q(v)).\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 8. Let r be 3 + a*(-3)\/(-6). Let x(y) = 8*y - 2 - y**3 - 5 + 11 - r*y**2. Give x(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**3 + 240*i**2 - 495*i + 250 = 0. What is i?\nAnswer: -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.576 * -78401.\nAnswer: -45158.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009426 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1154820 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51668.021743 - 51668. What is v rounded to 4 decimal places?\nAnswer: 0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 1982*n**3\/3 + 2*n**2 + 80*n + 2051. Find the second derivative of l(x) wrt x.\nAnswer: 3964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 1111?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15202*x**3 + 305*x - 4?\nAnswer: 91212*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2416\/7375 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*v**2 + 13*v - 12*v - 2678*v**2.\nAnswer: -2466*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 2*q**3\/3 - 2*q - 16. Determine p(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + -1 + 5)*-1. What is the second derivative of 3*m**4 + 7*m + u*m**4 + 8*m**4 wrt m?\nAnswer: 132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -h + 36, 0 = -5*d - 4*h - h - 60. Let l(g) = 11*g**2 + g - 23. Is l(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350924432 a multiple of 584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3 = 6*h - 9*h, 5*o = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 3*n + 8 + 1\/2*n**2. Let y be z(-7). Is -5 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 24004*v.\nAnswer: 4*v*(v - 6001)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 47, -3, -4\/173?\nAnswer: -4\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/((-4)\/20*-5). Let o be (-100)\/h*((-26)\/5 - -4). Solve -5*i + 5*m - o = 0, 0 = -5*i - m + 6 - 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -151*u - 147 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(130)*-1)\/(sqrt(10) + (sqrt(40) - sqrt(10))*-6) - ((sqrt(1300) + 5 + sqrt(1300) + 3*sqrt(1300) + sqrt(1300))*-1)**2.\nAnswer: -46825 - 2999*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/10 + 1 + (-4452)\/2120. Let i(v) = -3*v. Let f(u) = 3*u + 1. Give c*f(m) - 3*i(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**20\/(p*p*p**(-3\/7)\/p*p))\/(p*p\/(p*p**3)*p*p*p*p*((p**(-2\/9)\/p)\/p)\/p))**(-6\/7) assuming p is positive.\nAnswer: p**(-2476\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccigqffzqfficfiqcgcq. Give prob of picking 1 f and 2 c.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127756*i**4 - 272752*i**2.\nAnswer: -3066144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 8:40 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4080, -4078, -4076, -4074, -4072?\nAnswer: -4070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 721 and 6125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 1 = -3*b. Let n be (3 - (b - 2)) + 5503. Round n to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 325*q - 1419. Let b be g(5). Calculate the greatest common factor of 3193 and b.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m - 2. Let b = -2 + 2. Put b, m, -5 in decreasing order.\nAnswer: m, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, 2\/7, 79476\/7?\nAnswer: 79476\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -294.24 and 0.5?\nAnswer: 294.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1654 * 0.1\nAnswer: -0.01654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 144630368 a multiple of 1809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 128, -0.3, -399, 0.3?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z**3 - 10*z**2 + 10*z + 12. Let x(o) = -6*o**3 - 9*o**2 + 10*o + 13. Let d(v) = 6*c(v) - 7*x(v). Let h be d(-19). Round h to the nearest 1000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13479787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2470 + -2447. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1511 or 0?\nAnswer: 1511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -92224, -4, 8, -1, 1, 4, -5 in increasing order.\nAnswer: -92224, -5, -4, -1, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.37 (b) -1 (c) -11 (d) 2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -59. Calculate the smallest common multiple of j and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, 4, -1930?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 4 (c) -0.3 (d) -2.17 (e) -127\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acjq when four letters picked without replacement from adqqcjqqqadqqq?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*s + 28, -6*s - 4 = -4*m - 3*s. Let y be (-3)\/12 + m\/16. Sort y, -3, -1 in increasing order.\nAnswer: -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npynyipspynsyiqpi. What is prob of picking 1 p and 2 n?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1823199 and 1309.\nAnswer: 20055189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7420404+-5\nAnswer: 7420399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1988.\nAnswer: 1\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*g - 2*g - 2*g)*(8*g**3 + 0*g**3 - g**3) + 22*g**4 + 22*g**4 + 29*g**4)*(31 + 22 + 22 + 10) to n*g**4 + c*g**2 + z + u*g**3 + o*g and give n.\nAnswer: 5015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + -2 + 60 + (-106 - -24)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169 smaller than 4161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 1, y: 1, n: 5, p: 2, c: 4}. What is prob of picking 2 z?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 3*h**5\/10 - h**4\/4 - 206*h**3\/3 - 210*h - 1. Find the second derivative of z(q) wrt q.\nAnswer: 36*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6*r**3 + 27094*i**6*r + 3*i**2*r**3 - i**2*r - 3*i**2 - r - 8 wrt i?\nAnswer: 240*i**3*r**3 + 3251280*i**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 33. Let h = 21 - z. Sort -1, 1\/4, h in descending order.\nAnswer: h, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 9*l + 6. Let t be d(6). Suppose 2*r - 48 - t = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.4, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -54b4a (base 14) in base 5?\nAnswer: -23032103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50161402*v - 50161445*v - 1763 = 0 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 3. Let p be z(4). Let a be (-2)\/8 + p\/12. Is a > -5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7924, 7983, 8150, 8479, 9024?\nAnswer: 9839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -440556 divided by 15\nAnswer: -146852\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.53 and -104.6.\nAnswer: -106.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2787 - -225?\nAnswer: 29ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*3*(-15)\/(-15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-11))\/((-59)\/354*-9).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1896302, -1896326, -1896350, -1896374, -1896398, -1896422?\n\"Answer: -24*i - 1896278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -186*k**3 - 41666*k**2 - 463*k - 3377. Give j(-224).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/3787791 and -151\/24?\nAnswer: 30302328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1621*v - 7055 = 1536*v for v.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(1573) - (-1 + sqrt(1573) + -3)) + 0 + sqrt(1573)*1 + sqrt(1573) + 3)*-6 + 2)**2.\nAnswer: 9504*sqrt(13) + 227808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*b - 420, -2*y + 5*y + 84 = b. Does 33 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.072 take away 125135?\nAnswer: -125131.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46.3 + 44.3. Suppose -4*q + 8 = -8. Which is the third biggest value? (a) r (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(327323 - 5547*l - 327323).\nAnswer: 11094*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 48 - 24 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 414 and 614886876.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8497 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Suppose -2*j + z = -l + 11, 2*l + 5*j + 27 = 0. Let p(i) = -12*i + 62. Let a be p(5). Sort l, a, 3 in descending order.\nAnswer: 3, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) + (3 - 2). Let k = 1960 - 1962. What is the closest to k in 4, 18, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/133 and -65\/98.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*((x*x\/(x*x**0)*x)\/x)\/x*x)\/x**(1\/3))**(-1\/20))**34 assuming x is positive.\nAnswer: x**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5139 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732.4328 minutes to microseconds.\nAnswer: 43945968000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1968\/(-28290)*(-10)\/8.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/39 or 3?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 373 + 105. Factor 43*s - 28*s + 68*s + u*s - 5*s**2 + 155.\nAnswer: -5*(s - 31)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -1\/30*q**5 + 0*q**4 + 4*q**2 + 0*q + 0 + 0*q**3. Let r(t) be the second derivative of 11*t**3\/2 + 196*t - 1. Give r(v(f)).\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 3*w**2 - 36*w - 15. What is y(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 1. Let v be l(2). Suppose w + 70 = v*w. Suppose w = 5*o - 5. Calculate the remainder when 14 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = -4. Let j be p + -2 + 46\/42. Let h = 0 + -2. What is the closest to -1 in j, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1250)\/(-3640) + (-11)\/308?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2035 and -196.438.\nAnswer: -399751.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 - 144 = -70*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -185\/23478 and 145\/46956.\nAnswer: 46956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3380587564.\nAnswer: 2, 17, 23, 101, 21401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6417, -6423, -6439, -6471, -6525, -6607, -6723, -6879?\nAnswer: -7081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10*7 + 0. Let t = 3722 - 3726. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7678, -7680, -7682?\nAnswer: -7684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - y + 4*y)*(-y + 3*y - 9*y)*(3 - 2 - 3).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16759\/3032 - -37\/379. Find the common denominator of -37\/469 and m.\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 9915 = -15*j. Suppose 3*g + 3*p = j, 0*p - 4*p - 1346 = -2*g. List the prime factors of g.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46688915 to the power of 1\/2, to the nearest integer?\nAnswer: 6833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1244 (base 6) to base 5\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 589*l**4\/6 - 159*l**3\/2 + l**2 - 156*l - 3. What is the second derivative of u(z) wrt z?\nAnswer: 2356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -5 (c) -3\/4 (d) 0 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + n + 4*n)*(7630 + 6773 - 16434)*(4 - 1 - 2) to l + w*n and give w.\nAnswer: -6093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 469*o**2 + 882*o + 6082221 with respect to o.\nAnswer: 938*o + 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2. Let w(g) = 4*g - 5. Let o(k) = -k + 1. Let h(s) = 5*o(s) + w(s). Give h(t(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80938?\nAnswer: 2, 11, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6768 = 8*c - 6768 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9236 is divided by 113.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/4))**10*(g*g**(-2\/3)*g)**33 assuming g is positive.\nAnswer: g**(113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6922180 and 244600.\nAnswer: 69221800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(2\/3))\/k)**(-3\/25)*((k**(-3)*k)\/k*k)**42 assuming k is positive.\nAnswer: k**(-421\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4818)*9187 - 0. Let h = -1\/219 - i. Calculate the common denominator of h and 616\/(-38) - (9 + -23).\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97519 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 2, v: 2, r: 1, g: 1, t: 1, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -3*b + 12, -5*n + 8*n = -4*b + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30447008 and 120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, s: 5}. What is prob of sequence asas?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 63, 145, 259?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/10 - 4\/10. Let s = -88247 + 88282. Put s, 0.5, q in increasing order.\nAnswer: q, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*y**2 + 18\/5 - 3\/5*y.\nAnswer: -3*(y - 2)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3472 (base 12) in base 11?\nAnswer: -4435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -25, -n - 5*b + 52 = 2*n. Let d(s) = -s**2 + 11*s - 5. What is the units digit of d(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 + ((-47460)\/(-2970) - (11 - 1)) and (-116)\/264 - (3 + -4).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -1\/10, 12, -87.1, -0.5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/15 - 62*h\/15 - 4 = 0.\nAnswer: -5, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (246 - 21)*(4 + 11\/(-3)). Let p be 2\/(-8) + 242\/8. What is the highest common divisor of k and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5 + 1 = 0. Suppose -q = b - 8. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x - 28. Let d(b) = b - 1. What is 5*d(k) + f(k)?\nAnswer: -k - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 22*s**3 - 4*s**2 + s. Let o(y) = 65*y**3 - 11*y**2 + 3*y. Calculate -11*j(b) + 4*o(b).\nAnswer: 18*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1800*b + 2049*b - 1337*b + 2062*b - 125*b to j*b + z and give j.\nAnswer: 4449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97479*u**2 + 40*u - 1226?\nAnswer: 194958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - (-2*sqrt(91) - sqrt(91))*2) - sqrt(91))\/(sqrt(1008)*1).\nAnswer: 7*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2382387 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2531378.4 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*o + m - 13, -4*m - 16 = 0. Suppose -o*v + 11 + 4 = 0. Suppose 25 = -v*y + 5*x, -y + 5*x = 3*y + 25. Solve -3*t + 4*t = y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**1*l))**(-33)\/(l\/(l\/l**(2\/3)))**(1\/22) assuming l is positive.\nAnswer: l**(1088\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-2))\/((-1)\/(-10)*-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7400205 divided by -15?\nAnswer: -493347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Let b = -6 - -9. Suppose 5*t - 12 = b*t. Solve 0*z = -k*z - t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -87, -116, -165, -234, -323, -432, -561?\n\"Answer: -10*g**2 + g - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 0*z**4 + 11\/60*z**5 - 63*z**2 + 0*z + 0*z**3 + 2. Let u(h) = -2*h. Determine u(a(f)).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 55.8.\nAnswer: 502.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 31*m**2 - 533*m - 3170. Give i(-6).\nAnswer: 1144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.31 - 0.31. Which is the nearest to -1? (a) z (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1737*k**3 - 4982*k**3 - 2910*k**3.\nAnswer: -6155*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 2. Suppose -57 = -2*f + 25. Suppose 4*i + 44 = -4*y, -2*i + f = -3*y - 3*i. Let z(w) = -w**3 - 15*w**2 - w - 10. Let h be z(y). What is b(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, b: 1, t: 3, d: 8, o: 2, i: 1}. Give prob of sequence odid.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 21*p**2 - 58*p + 141. Determine b(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1655633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 - 43*j**2 + 10*j - 15. Let r(b) = 5*b**3 - 74*b**2 + 17*b - 25. Let h(w) = -17*k(w) + 10*r(w). Calculate h(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from zdizizdd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36304304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -500, -657, -812, -965, -1116, -1265?\nAnswer: -1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -14*a**3 + 275*a**2 + 72*a + 531. Determine j(20).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3088173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2705164 and -81\/772904?\nAnswer: 5410328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 9*t**6\/5 - 192*t**5\/25 + 53*t**4\/6 + 4*t**3\/45 - 52*t**2\/15 - 16*t\/15 - 109. What is j in v(j) = 0?\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1654175 and 0.56.\nAnswer: -926338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -160 - ((60 - 78) + -115)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*m - 38*m - 2640. Suppose -2*o = -5*p + o + 108, -5*p + 5*o = -100. What is the greatest common factor of m and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728, -726, -724?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.4 and 638.7158844.\nAnswer: 635.3158844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/2))**(-2\/159))**(2\/59))**(17\/4) assuming h is positive.\nAnswer: h**(-17\/18762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -589*w + 604*w - 121320 = 0. List the prime factors of w.\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 - -743\/9. Let t = -19\/63 - m. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(13*i**3 - 22*i**3 + 89*i + 62*i**3 - 780*i) as t + g*i**3 + b*i**2 + v*i and give v.\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21388 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: Round 0.02987278 to three dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 1 + (-4 - -10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32 from -25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2467 is divided by 2452?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 8*w + 3 + 8*w - 19.\nAnswer: 13*w - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -55 and -57 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-6)*27\/27*33\/2\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -703040 (base 8) to base 11.\nAnswer: -14856a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601 is divided by 70?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -706*n + 672*n + 68. Calculate the remainder when 538 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1114 + 2083. Suppose 1426 + j = 5*m. Is 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 -2*g**3 + 141*g + 603 wrt g.\nAnswer: -6*g**2 + 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 21*w**2 + 3*w. Let n be g(3). Let k = -89 + n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 12*q + 9. Solve -6*c - 3*c + q = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoaq when four letters picked without replacement from qoaoaq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 63, 109, 137, 147, 139, 113?\n\"Answer: -9*i**2 + 73*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 712 - 237. Suppose 3*d + 0*a = 2*a + x, 0 = -5*d + 2*a + 785. Suppose -y - d = -6*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + o - 12, 0 = -5*m + 3*o - 7*o + 27. Let z(p) = 3*p**2. Suppose -21*q = -26 - 58. Let r(t) = -7*t**2. Calculate m*z(a) + q*r(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1 = -4*h + 8, -3*q - 15 = -4*h. Suppose 0 = -2*j + 5*j + 12, 3*p - h*j = 39. Suppose o + 3 = p. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - 45*p + 12. Let t(h) = -h**2 - 30*h + 8. Let l(q) = 2*a(q) - 3*t(q). Let i(b) = 24031*b. Give l(i(u)).\nAnswer: -577488961*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12358.\nAnswer: 2, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 9992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111.3 - 11.3. Let y = w + -100.1. Which is the nearest to y? (a) 0.02 (b) -4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**7\/525 - v**6\/300 - 23*v**5\/150 - 13*v**4\/20 - 6*v**3\/5 + 41*v**2 - 1. Let z(t) = 0. Calculate t.\nAnswer: -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -12 - (1 + -10)) + 9 + -26\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*14.3\nAnswer: 85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/2 - 2*t = 0. What is t?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 9*m**2 - 12*m + 16. What is k(-8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxoxmommqoqowmowxqoq. What is prob of picking 1 m and 1 x?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 + 106.01. Put k, -2, 1 in descending order.\nAnswer: 1, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -154353.47.\nAnswer: -308706.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (-12)\/(-9) + 2 + 6 + (-25595)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/465*-1)\/(4561\/228 - 20) + 10?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 12*i**3 + 37*i**2 - 42*i + 16.\nAnswer: (i - 8)*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 736, 747, 772, 817, 888?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -211626*t - 2751134. Determine k(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 7. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2\/15))\/g)**(-1\/2)*(g\/(((g**31*g)\/g)\/g)*g)\/(g\/(g*(g*g**(-10))\/g*g)*g))**(-21\/4) assuming g is positive.\nAnswer: g**(3983\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2804*f - 2 + 2 + 2985*f + 2.\nAnswer: 181*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 11. What is the highest common divisor of q and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5)\/c)\/c)**(2\/3)*(c**(5\/4)*c)\/(((c**(-3)*c)\/c)\/c) assuming c is positive.\nAnswer: c**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uatxtvunn. What is prob of picking 1 a and 1 x?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 5*i - 6. Let y be r(4). Let h be (4 - -8) + y\/(-2). Let a = 17 - h. Sort 1, -4, a, 5 in decreasing order.\nAnswer: 5, a, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6654229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o. Let a(n) be the third derivative of n**7\/252 - 3*n**5\/10 - 8*n**2. Let x(m) be the third derivative of a(m). What is x(z(l))?\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i, 2*i = -5*f + 65. Let r(b) = -26*b - 746. What is the least common multiple of r(-29) and f?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/91, -2\/11, 5, -6, 0.5, 0.08?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12539*w + 509 - 190 + 5596*w - 319 in the form t + r*w and give r.\nAnswer: 18135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 22 = -2*a, -4*a + 5*z - 8 = -0*a. Suppose 54*d - 50*d - 12 = 0. Find the second derivative of 28*g**d + 20*g - g**3 + 2*g**a wrt g.\nAnswer: 174*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - v**2 - 2*v**2)*(3*v - 1 + 1 + (0 + 3 - 5)*(0*v - 3*v + v)).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 - 2822*s**2 - 2*s**4 - 215*s + 2817*s**2 + 7 - 8 in the form t*s**3 + f*s**4 + n*s + q + v*s**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*g - 51*g + 221*g - 1 + 2*g**2 + 8*g + 363*g to the form v*g + f*g**2 + d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 167891203 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335656.\nAnswer: 2, 41957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 - 70. Let x = 83 - k. Solve 6 = -c - x*q - 3*q, q = -5*c + 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c*c**(-2\/47)*c)\/c)))\/(c**(-36)*c)*(c*c**(-28\/5)\/c)\/c*(c*c**(7\/2)*c)\/c assuming c is positive.\nAnswer: c**(15913\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 946879873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - 7*c - 82. Let t be h(-10). Let k = t - -296. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 20538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmqqqmymymmy. What is prob of picking 2 q and 2 y?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 57547485533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f**2 + 7*f**5 - 81*f**4 - 12*f**3 + 72*f**4 + 4*f**2.\nAnswer: f**2*(f - 2)*(f + 1)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 - -26) + -1 + -10. Solve -18*g = -m*g - 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 3049134?\nAnswer: 15245670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86613282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 346660460 to the power of 1\/2, to the nearest integer?\nAnswer: 18619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 68389710 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733938?\nAnswer: 2, 3, 122323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 3892, 1, -4 in decreasing order.\nAnswer: 3892, 5, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204 divided by -17.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**5\/60 - 13*k**4\/24 - k**3\/3 + 2*k**2. List the prime factors of g(-10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23701256 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*q + 60 = 347*q. Solve -11*a - a = q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 + m + 4. Let k = -13 + 7. Let u be s(k). Let j = u + -77. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*m + 31*m - 1889 + 139 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16056, -16057, -16058, -16059, -16060, -16061?\n\"Answer: -u - 16055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from ellllpzlgllllll.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255303 is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 31 = t, t + 119 = -0*f + 4*f. Suppose 4*u + 5*g - 3*g = -84, -3*u + 4*g = 74. What is the remainder when f is divided by ((-1)\/1)\/(2\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*t - 6*t - 48 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110001 - -110111010010110?\nAnswer: 110110111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-16))\/((-26)\/208). Solve g + p*q - 4 = -q, 4 = g - 3*q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 - 2*c + 2. Let g be x(0). Let w be (-1 - -1)\/(-1 + g). Suppose -8*b + 2*b + 798 = w. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1162861.7*-2.\nAnswer: 2325723.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5534697507.\nAnswer: 3, 619, 1223, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x - 881 = -67*x - 3376 - 2579 for x.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1052444 * -0.3.\nAnswer: -315733.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 12*f**2 - 5. Let m be n(5). Suppose -2*l + 382 = -m. List the prime factors of l.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -3*g + 30. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x - 4*u - 8 = 0, 3*u = 5*x + 109. Let k be -3 + (-42)\/(-5) + 8\/x. Let y = -956 - -959. Solve 2*n = 2*c - 2, 2*n - y = k*c + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + -3.9510973?\nAnswer: -59.9510973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1875\/(-76875) - 1798\/246.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -53*m - 4. Let d(t) = -106*t - 7. Let x(g) = -6*d(g) + 13*i(g). Let k be x(-5). Suppose 9*c - k = 4*c. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 8:49 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = 0. Suppose 5*w - 15 = m + m, 4*m - 4*w + 12 = x. Which is greater: 2\/3 or m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-24)*(-3)\/20. Which is the closest to -2? (a) o (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 + 11010110110011?\nAnswer: 11010111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 97, 160, 281, 478, 769, 1172?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120.1 - 113. Let j = 7 - f. Let x = -16 + 11. Which is the closest to -0.1? (a) j (b) -1\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y - 6. Calculate p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49133 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26344 = 5*m + 17156. Round m to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 15*q + 8. Let k be o(-15). Let j(b) = 0 + 3 + 0 + 6*b - k. Let g be j(3). Which is bigger: 14 or g?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 3*z**2 - 17. Let h be l(4). Let b(y) = -2. Let d(g) = 2*g - 4. Let v(m) = h*d(m) + 2*b(m). Let n(u) = 17*u + 13*u - 14*u. Determine n(v(f)).\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {m: 4, c: 10}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26\/9 in -7, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128319439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4074736885.\nAnswer: 5, 17, 137, 349913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14016 + 14019. Solve o + s = c, -107*o + 5*c - 15 = -108*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -728 and 194?\nAnswer: -141232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -2226?\nAnswer: 2226.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a tonne in kilograms?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 9*t**2 - 10*t - 9. Let h be y(-10). Suppose -a = 2*n - 3*a - 44, 0 = -3*n - a + 82. Let c = n + h. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201160263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/2*(-2)\/3. Suppose -h - h = x*k + 1, 3 = -k. Let n be 19\/h + (-1)\/(-4). Solve l + 4*d = 1, -36 = -n*l + 2*d - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 - -568\/5. Let u = -3.2 - -3. Which is the closest to u? (a) 2 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/27 + (-164)\/(-9). Suppose -j = -2*g - 2. Let a = -15 - -47. What is the highest common factor of g and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/168*3\/1*52\/(-39)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2796676 or 1?\nAnswer: -3\/2796676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 48*f**4 - 1896*f**3 + 915*f**2 + 816*f + 117 = 0.\nAnswer: -1\/4, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -13, -8, -3, 2, 7?\n\"Answer: 5*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189*a + 231*a + 161*a)*(-13 + 0 + 3).\nAnswer: -2030*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9*h**2 + h + 1. Let j(v) = -122*v**2 - 13*v - 12. Calculate -26*a(g) - 2*j(g).\nAnswer: 478*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 4*i - 6. Let m be h(-5). Let t = -3 - -3.2. Let q be 1\/2 + 10\/(-12). What is the nearest to 0.3 in m, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 - j**4 + 12 - 27 + 14 + 2*j**2 to i*j**2 + m + h*j**4 + t*j + g*j**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 83.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -0.7, 997\/2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/15*18\/(-12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -13\/24*h**4 + 0*h + 27*h**2 + 0 + 41\/60*h**5 + 0*h**6 + 1\/105*h**7 - h**3. What is the second derivative of v(i) wrt i?\nAnswer: 24*i**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0132 + 77.8132. Let b = x + -78. Let m = 21\/4 - 139\/28. Sort 2\/5, m, 3, b.\nAnswer: b, m, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 601. Let h(k) = 230*k**2. What is h(y(n))?\nAnswer: 230*n**2 - 276460*n + 83076230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/1)\/2 - 29. Let t = -30 - s. Let u(g) = -2 - g + 4 - g**3 - 6 - 5*g**2. What is u(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*n - 1037*n + 345*n + 347*n - 611*n**2.\nAnswer: -611*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/76416 and 65\/1592.\nAnswer: 76416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 122\/18*(-1 + -92) + 2. Let u be (-2)\/8 - (-4846)\/8. Let h = u + o. Calculate the common denominator of 103\/20 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 times -12562\nAnswer: -326612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 50 = 5*y, -2*y - 5 = -2*z + 3. Suppose -z*p = -8*p + 39. What is the remainder when 59 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 + -16)*1*-6. Let y = 62 - f. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 1\/4714 (c) 0.5 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ososs. What is prob of sequence oo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 552 and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-748)\/20 - 2\/(-5). Let g = b - -9. Is (-23)\/(-7) - (-8)\/g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/165 - 4336\/11. Let n = i - -605. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, c: 3, q: 2, o: 4}. Give prob of picking 1 q and 1 o.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.088535 + 39.431425. Let r = p + -41.27. Let q = -0.25 + r. Round q to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**3\/6 + 7*x**2. Let j(w) = -w + 4. Let d(u) = j(u) - 4*m(u). Let a(z) = -18*z. Calculate d(a(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/406 and 81\/(-9) - 79\/(-20).\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3657 rounded to 2 dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = o + 8. Let h(y) = -y + 8. Let s be h(10). Let w = 1.67 + -1.27. Which is the nearest to s? (a) o (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (6 + -33) - (-4 - -14 - 12).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-1212)\/(-36))*-30. Let x(c) = -c - 4. Let o be x(4). Let t be 763\/z + 6\/o. Is t <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-286 + 578 - 293 + 23*j)*(-3*j - 3*j + 4*j)*(4*j**2 - 2*j**2 + j**2).\nAnswer: -138*j**4 + 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2369 + 4354. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4515954 divided by -4458\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 41. Let k = -0.48 - 10.02. Let a = k + u. What is the second biggest value in -3, -5, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 30*l**2 + 23*l - 254. What are the prime factors of x(-32)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 0 + 0*t**4 - 1\/120*t**6 - t**2 + 1\/60*t**5 - t + 0*t**3. Let k(g) be the first derivative of u(g). Factor k(f).\nAnswer: -f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16913 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9*1\/12)\/6. Put z, 2, -2, -0.3 in decreasing order.\nAnswer: 2, z, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 752250?\nAnswer: 1\/376125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 1:25 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let r = -2 + w. Let q = 12 - 8. Which is the second smallest value? (a) r (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 3*x. Suppose 0 = -23*l + 24 - 1. Let g(v) = -l + 1 + 0 + 14*v - 19*v. What is d(g(q))?\nAnswer: 50*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6966336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 m, and 2 n when four letters picked without replacement from mnnng.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4931 - -596. Is 5529 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 1 - 1 - 1)*(39960*w - 2348 + 4686 - 2338 - 183063*w).\nAnswer: -286206*w**2 + 143103*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - (3 + -13)) + -11.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 32 - (-4 + -8 - (-14 + 1))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.15 (b) -4\/7 (c) 0 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1661063.\nAnswer: 1661063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43289500 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 3*z - 12*z**2)*(690*z - 436*z + 293*z) to the form u + b*z**3 + a*z + n*z**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 11 = 12*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-34))\/((26200\/2227)\/(-100))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 71*q - 1491. Let c be j(21). Solve 10*h = -4*z + 6*h - 4, c = -2*z + h + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 217*a**2 + 4.\nAnswer: -217*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/22*(-66)\/12)\/(15\/(-3390)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/h*h**(-1)\/h*h)\/((h**(1\/3)*h*h)\/h)**21)\/((h\/(h\/(h\/(h**0*h))))**(-3\/4))**(4\/27) assuming h is positive.\nAnswer: h**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253\/(-26565)*25\/2*1\/5.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 17*i**2 + 38. Calculate u(17).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 12*c**2 + 11. Calculate d(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 20*q**2 - 29. Let m be b(-7). Suppose -2338 - m = 13*r. Do r and -252 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 16*w - 17*w. Let m(s) = 4*s**2 - 18*s + 18. Let u(f) = 5*f**2 - 18*f + 17. Let g(i) = 6*m(i) - 5*u(i). List the prime factors of g(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - g**3 + 7 - 6 + 0*g + g as k + s*g**3 + f*g**2 + w*g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/24 - -29\/120. Let v = -30 + 32.2. Let r = v - 1.7. Which is the closest to -0.06? (a) -2\/5 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 28 = z. Let p = z + 3. Let r(l) = l**3 + 3*l**2 - 4*l - 4. Calculate r(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 12*k - 14. Let g(f) = -2*f**2 + 101*f - 53. Let x be g(50). What is w(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 5*m**2 - m - 5. Let v be (-4)\/(-4) - (-48)\/(-8). Let y be r(v). Is 5*6\/30 - (y - 3754) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 15*o + 1. Let g be f(-1). What is the common denominator of ((-6)\/136)\/(3\/g) and (1577\/38)\/((-4)\/(-1))?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = -4*u. Is 17 a factor of 459\/(-18)*((-2 - u) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 7034?\nAnswer: -7029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g - 14. Let k be d(-14). Suppose -86 = -4*h + k. Suppose 3*p = 4*w - 27 - 20, 0 = -3*w + 3*p + h. Calculate the remainder when 22 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/910 and -37\/1443448.\nAnswer: 656768840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:41 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 14*u**2 + 4*u + 8. Let m be i(9). Let w = 553 + m. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 464 = 428 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 16*h + 32. Let p be y(14). Let j be ((-12)\/10)\/(3\/(-80)). Let b = -15 + j. Solve -p*s + b = 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*d + 41*d + 534 - 5462 = 78*d for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/3 + 120334*q**4\/3 + 120337*q**3 = 0. What is q?\nAnswer: -3, 0, 120337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 24*w + 167. Let o be b(-8). Let c = 4 + -7. List the prime factors of ((-4)\/(-6))\/(c\/o).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + 2*c**2)*(4 - 3 - c - 2*c)*(0*c + 0*c + 3*c).\nAnswer: -18*c**4 + 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 1044.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*f**2 + 15*f**2 - f**2)*(256 - f**2 - 256 - 13*f**3).\nAnswer: -546*f**5 - 42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 4*l + 3*l)*(-l + 4*l - 4*l) + (30 - 30 + 5*l)*(16*l + 25*l - 6*l) - 2*l**2 - 1 - 3*l - 7*l**2 + 11*l**2.\nAnswer: 179*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = l + 2*l. Suppose 3*t + 48 = 3*o, -o - t - l = -6*o. Let p(n) = n**2 - 6*n + 1. Calculate the remainder when o is divided by p(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-1)\/3)\/(-2 + 1))\/(11\/297). Solve -j*b = -b + 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 27 - -196*(-230)\/(-1610)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*k + 5, k = -2*h + 5*h - 17. Suppose 0 = -4*v + m + 15762 + 5617, 0 = h*v + m - 21381. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + r - 1)*(0 + 2*r + 0) - 48*r**2 - 131*r**2 - 137*r**2 - 4*r**2 + 6*r**2 - 11*r**2 in the form z + h*r**2 + k*r and give h.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1500, -1459, -1392, -1299?\n\"Answer: 13*x**2 + 2*x - 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 3*y**2 + 7*y - 9. Let q = 9 - 5. Let c be i(q). Suppose 2*v - 365 = -c*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943535 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 10:25 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1630 and -0.4?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 440.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*a - 367*a + 21*a.\nAnswer: -557*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 10*g - 10. Determine m(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-12))\/(15\/(-540)). Solve -3*j + 7*j - p = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -530*n - 298389. Determine k(-563).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47318, 47428, 47538?\n\"Answer: 110*k + 47208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 16*g**3 - 6*g**2 + 7*g + 14. Suppose -5*c + 3 = -0*r + r, -3*c - 4*r = -12. Suppose c*o = -3*o - 18. Let m be s(o). Round m to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huyuttuhhtthwru. What is prob of picking 1 h, 2 t, and 1 w?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 36*u**2 + 17*u + 3. Let w(r) = 105*r**2 + 55*r + 8. Determine 17*d(g) - 6*w(g).\nAnswer: -18*g**2 - 41*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -2 + (0 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, 0, 1, -6\/23, 2\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrrrxr. Give prob of picking 4 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z - 3*z)*(0*z**2 + z**2 + 12*z**2).\nAnswer: -39*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 619.\nAnswer: 6190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 418 - 449. Let h = -28 - s. Suppose -4*p + 0*p = 4. Sort p, -2\/9, h in decreasing order.\nAnswer: h, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a - 22. Let b(i) be the third derivative of i**4\/12 - 7*i**3\/6 + 11*i**2. Give -16*b(l) + 5*k(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2 - 501*h - 17748 = 0 for h.\nAnswer: -116, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010101000111000010 + -100?\nAnswer: 10010101000110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**5 - 5*a**2\/2 - 183*a. Let m(y) = -10*y**3 - 2. Give -2*k(r) + 5*m(r).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a. Let p(m) = 9*m + 6. Let n(i) be the first derivative of -19*i**2\/2 - 13*i + 4. Let h(j) = -6*n(j) - 13*p(j). What is r(h(d))?\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -34*r + 906. Let l be y(-6). Calculate the greatest common factor of l and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -482a2?\nAnswer: 482a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 3\/20*m**4 + 0 + m + 3\/5*m**2 + 1\/2*m**3. Find y such that g(y) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*u - 1. Suppose 73*d - 113*d = 87*d + 508. Let b(a) = a**2. Let s(w) = -3*w**2. Calculate d*s(t) + u*b(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5267352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**28)**(1\/10) assuming o is positive.\nAnswer: o**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 872, 859, 834, 797, 748, 687, 614?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 60 + 15)*(21*f**2 - 23*f**2 + 11 - 11).\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a minute in seconds?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -157. Is 41 a factor of (3 + 1)\/(-2)*-1 + h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7731 - 7525. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/20? (a) 4 (b) 3 (c) 0 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {a: 1, r: 8, d: 7, q: 1}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 + 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**7\/280 - b**6\/120 + b**5\/40 + b**4\/12 + 4*b. Let p(f) be the third derivative of g(f). Factor p(t).\nAnswer: -3*(t + 1)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 - -13033225?\nAnswer: 13033042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 + 224. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 6 = 2*s - 0, -2*w = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.7283 weeks in minutes?\nAnswer: 995181.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8750 + 10752. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, q: 2}. Give prob of picking 1 q and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**4 + 707480*u**2 - 11410*u - 10?\nAnswer: -24*u**2 + 1414960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, u: 2}. Give prob of picking 3 m.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.3*3.66\nAnswer: 4.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5 + 16*d**3 + 6*d + 13*d + 0*d - 6*d**3. Let l(t) = 5*t**3 + 10*t + 3. Let a(j) = 5*l(j) - 3*z(j). What is the second derivative of a(x) wrt x?\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 19544?\nAnswer: 19556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 - -0.86. What is the closest to j in 30, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 326*y**4 - 16*y + 18998 wrt y?\nAnswer: 1304*y**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 11:12 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7025109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 j when four letters picked without replacement from qjjjqq.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 701*q - 9108. Let r be z(13). Solve -r*c = -2*y + 10, -2*y - 60*c = -58*c + 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(11\/((-88)\/8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96*a**4\/17 - 182*a**3\/17 + 76*a**2\/17 + 10*a\/17.\nAnswer: 2*a*(a - 1)**2*(48*a + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 100355579 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -377 times -236882\nAnswer: 89304514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 6:47 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -19 - (-2 + -3)) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 178082 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.113 and -69548.033.\nAnswer: -69547.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 10220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 763776 (base 8) to base 10\nAnswer: 255998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018889 rounded to seven decimal places?\nAnswer: -0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22432 + 40494. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*4\/16*3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 8:48 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/24 and -89\/9912?\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + -2 - -7) + (-43)\/(-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 8*n + 13. Let r be a(3). Suppose q - 2*p - 2 = -r*p, -q + 4*p = -11. Calculate the remainder when 72 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*u**4 + 0 + 0*u - 93\/2*u**2 - 99\/4*u**3.\nAnswer: -3*u**2*(u + 2)*(u + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 5:36 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * 23010.\nAnswer: 4141.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75856.87 millilitres to litres.\nAnswer: 75.85687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/164076 and -133\/312.\nAnswer: 4265976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 50. Suppose -2*f = -r + 5, 0 = 4*r - 4*f - 24. Solve -r*o + 2*o = -b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y)\/(((y**(-4)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*q - 14 = 0, -4*q - 56 = -5*t - 10. Suppose t = -3*c - 2*c. Let f(g) = 174*g**3 - 2*g**2. Let r be f(c). What is r rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 1375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 3784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3175786?\nAnswer: 2, 149, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:07 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = -5*x. Let q = -1 - x. Let z = 177787 - 177787.04. Sort z, -0.5, q, -3 in decreasing order.\nAnswer: q, z, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, 4, 0, -41 in descending order.\nAnswer: 11, 4, 0, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -150, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 360 - 360. Suppose -u = 2*k - 7*k - 26, 2*u = 5*k + 47. Which is smaller: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -2\/21, -2818, 50, -0.1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/13*(-1 + (-10)\/(-9)). Which is the nearest to l? (a) -0.1 (b) 0.01 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/301901717 and -1\/185785672.\nAnswer: 2415213736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -1)\/((-6)\/(-21)). Let c be o + (1 - (2 - 0)). Solve -c = 4*g - g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136842860 a multiple of 604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let l(r) = -6*r + 5. Determine -5*k(t) + l(t).\nAnswer: -t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 320756 a multiple of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(20\/7))\/(a*a\/(a*a**(-4\/3)*a)))\/(a**(-3)\/a)**(6\/13) assuming a is positive.\nAnswer: a**(-94\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(5*(-1)\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 430020343*b - 495478507?\nAnswer: 430020343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 4, -37, 3 in descending order.\nAnswer: 4, 3, 2, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/2 of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*h - 24, -3*i - 30 = -8*i + 5*h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-25)\/60*4)\/((-25)\/90). Solve -2*p = -5*q, -2*q - 20*p = -22*p - f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -520, -736, -936, -1120, -1288, -1440?\nAnswer: -1576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/4*17472\/(-1638).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3*g**3 - 1565*g**4 - 3*g - 2*g**2 - 1528*g**4 + 3091*g**4 as p*g**4 + w*g**3 + v + o*g**2 + l*g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15304 = 7*q - 76596. List the prime factors of q.\nAnswer: 2, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2428 is divided by 244?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24586 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2163 + 2163 - 747*j.\nAnswer: -747*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, -2, -0.13, 0.0671?\nAnswer: 0.0671","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3276 and 20431814?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/15 + 16*t**4\/3 + 716*t**3\/15 - 112*t**2 + 294*t\/5 = 0. Calculate t.\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)\/z**(-6\/17))**10 assuming z is positive.\nAnswer: z**(-25\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1 = -14. Let b(t) = y*t - 2*t - 3*t. Let x(p) = -p. Determine x(b(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44056 and 424039?\nAnswer: 3392312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.214202154 * 0.3.\nAnswer: 0.0642606462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 326 - 283. What is the remainder when 125 is divided by q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 1\/2*w**2 + 2 - 3*w. Differentiate m(f) wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1540*p + 65 = 1553*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*c - 5*j, -5*j - 15 = 3*c + 7. Suppose 5*r = 3 + 7. What is the first derivative of -l + 0*l + c + r*l wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3311014875?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1055517657 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**4\/12 + 7*r**3\/6 - r**2 + 320*r. Give j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -100? (a) -0.6 (b) 0.76 (c) -2 (d) 0.06 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 13*x**5\/5 + 11*x**3 + 1737*x**2 + 2862. Find the second derivative of a(p) wrt p.\nAnswer: 156*p**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r\/r**(4\/5))\/r*r*(r*r*r**(-4))\/r*(r**(1\/2)\/r)\/(r\/(r\/(r\/r**(-1\/3)))) assuming r is positive.\nAnswer: r**(-109\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79\/65 - 8\/13. Which is the third smallest value? (a) -3 (b) f (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -58*t**3 - 3*t**2 - 2*t - 4. Suppose -84*h = -36*h + 96. What are the prime factors of j(h)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -28*z + 10. Let f(b) = 5*b + 1. Let d(a) = -36*a - 6. Let x(s) = -4*d(s) - 27*f(s). Give 3*h(g) + 10*x(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -135, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 6, -143, 344 in descending order.\nAnswer: 344, 92, 6, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 399812?\nAnswer: 5997180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 4 - 9 - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 16*b**7\/105 + 10*b**3\/3 - 46*b**2. Differentiate s(n) with respect to n.\nAnswer: 128*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10623.8 - -10624. Which is the second biggest value? (a) r (b) 3 (c) -0.5 (d) -2\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0919318ms to seconds.\nAnswer: 0.0000919318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*b + 10 = 0, -35*b + 33*b + 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11249932?\nAnswer: 2, 1553, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvovvotonv. What is prob of picking 1 t and 3 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8004224ml in litres?\nAnswer: 0.0008004224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5.3. Let i = -2.261 - -0.061. Let h = k + i. Which is the biggest value? (a) 5 (b) 3\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 8. Let l be s(9). Let p be (l - -2)\/((-3)\/(-4)). Suppose 9*g - 5 = p*g. Put g, 4, -0.1 in decreasing order.\nAnswer: 4, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.706209m?\nAnswer: 7706.209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/2 + 1185*l**2\/2 + 7029*l\/2 + 10503\/2.\nAnswer: 3*(l + 3)**2*(l + 389)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2472043 is divided by 1188?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/3))**(-48))**(-49) assuming p is positive.\nAnswer: p**1568","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 51, 99, 165, 249, 351?\n\"Answer: 9*u**2 + 3*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7974 - -11500?\nAnswer: 19474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z**2 - 4*z**2 - z**3 - 19*z + 8 + 9*z. Suppose -3*b + 0*b = -201. Calculate the remainder when b is divided by g(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53733, 53734, 53735, 53736, 53737?\nAnswer: 53738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {c: 6, i: 2, n: 3, k: 4, y: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**6\/120 - s**5\/12 + s**4\/24 - 2*s**3 + 16*s**2. Let t be q(-6). Let v = 16 - t. Sort 4, v, 3, 0 in increasing order.\nAnswer: v, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-205)\/180 - (-8 + 2 + 23\/4).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1995*b**2 + 2*b**3 - 2387*b**2 + 430*b**2.\nAnswer: 2*b**3 - 3952*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -60?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n - 34*n - 2 = 2*m, -4*n = 4*m + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4320 and 103975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.193*0.2.\nAnswer: 0.0386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10267331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.316 - 1.163. Let i = 0.024 + s. Let r = 0.78 + i. Round r to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*-1*2)\/((-2)\/56). Let o = n - -22. Suppose -j - 3*j = -2*q + o, -4*q + 152 = -4*j. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2007 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*i - 4. Suppose -a - 8 = i*l, -a + 3*a = -2*l. What is the third derivative of -p**4 + 3*p**4 - 20*p**a + 7*p**5 - 2*p**4 wrt p?\nAnswer: 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28003970, 28003923, 28003876?\n\"Answer: -47*l + 28004017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56582 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41, 3\/5, 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 10. Let r = 0.106 + -0.146. Let d = -1.525 + -0.475. Sort l, d, r.\nAnswer: l, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2118 - 1074 = -32*y + 1160. Solve -48*r + y = 472 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18*0*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 139 = 3*l, z - 5*l = 4*z - 97. Let r = -7631 + 7649. What is the remainder when z is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h = 37*h - 616 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 9*m**2 - 14*m - 39. Let p be j(-10). Let d(i) = 67*i - 6. Let f(k) = 1. Let l(g) = d(g) + 3*f(g). What is the tens digit of l(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -223*w - 184*w + 666*w - 2849 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 22*f**2 + 0*f**2 - 22*f**2.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*q - 2*b, -408*b + 2 = 2*q - 411*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 - -105. Suppose f*a + 30 = -439. Let g = -47 - a. Solve -3*m + g = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8425)\/(-5055))\/(1*-150)?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxxmxxmxxxxxmxxmxx. Give prob of sequence xxm.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let y(j) = 4 + 0*j**2 + 0*j + 2*j**2 - 4*j + j**2. Let s(m) = -5*m**2 + 7*m - 7. Let p(r) = 4*s(r) + 7*y(r). Give p(t(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 159, 802, 1893, 3426, 5395, 7794, 10617?\n\"Answer: -z**3 + 230*z**2 - 40*z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104903470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 116318117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136 + 144 + 0*u - 2*u to the form c + m*u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177953234*q**2 + 200138*q + 107 wrt q.\nAnswer: 355906468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13474937 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: Let x = 0.1 - -1.7. Let v = 1.35 - x. Let a = -0.05 + v. Put a, 3, -3\/2 in decreasing order.\nAnswer: 3, a, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 341046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 - 9*b**3 - 1 + 2*b**3 - b**2 - 8*b**4 - 4*b**4 to k*b**3 + c*b**4 + u*b + w*b**2 + x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05943 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1552 = 40*d - 2152 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2 - 65307990*a + 355427796486675 = 0. What is a?\nAnswer: 10884665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 2*k**3 - 3. Let b(o) = o**2 - 2*o. Let f(v) = -v. Suppose 0*i - i = -1. Let u(h) = i*b(h) - 2*f(h). Determine u(c(x)).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*p - 13*p - 8960. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/2 + 7*n**4\/2 + 15*n**3\/2 + 13*n**2\/2 + 2*n.\nAnswer: n*(n + 1)**3*(n + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - 34?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 15*h**2 + 21*h - 11. Let s be f(14). Let k = 140 + s. Let n = k - -60. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + -5.07. Let x = 0.082 - 0.082. Sort m, x, 5 in ascending order.\nAnswer: m, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u = 15*u + 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2596 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -75, 13\/6, -8?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.07, 45, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136136471 at least as big as 136136472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2967 (base 12) to base 14\nAnswer: 1a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -36.2772 (b) -2\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 29\/(-145) + (-6)\/(-10). Are d and 6.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98100 and 138.\nAnswer: 2256300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9b - -4965?\nAnswer: 4a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 2*a + 6. Let k = 25505 - 25504. Let x(u) = -u**2 + 1. Give k*w(r) - 6*x(r).\nAnswer: 5*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 12:45 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a factor of 4627392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 41857, 41834, 41797, 41746, 41681, 41602?\n\"Answer: -7*u**2 - 2*u + 41866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -504.586 = 124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -98.\nAnswer: -98, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72985 is divided by 10423?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*y + 12*y + y**2 + y**2 - 33*y + 21 in the form h + v*y + p*y**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -139975549\/128980 - -1\/32245. Let d = x + 1092. Find the common denominator of d and -37\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1539) + 4)*1 + (-2 + 2*sqrt(1539) - (-5 + sqrt(1539) + -1)**2) + 0.\nAnswer: -1557 + 171*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1548\/2709)\/(3728\/(-56))?\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 151 + (-22 - (120 - 102)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976407.\nAnswer: 3, 31, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -3. Let u = 3\/13 - 31\/78. Which is the second biggest value? (a) -0.2 (b) u (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -542*g + 99705. What is f(185)?\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -0.4, 2, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21707*w**3 - 207695*w**3 - 52847*w**3 - 86783*w**3.\nAnswer: -325618*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wopxpsf. What is prob of picking 1 f and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 15*b - 19*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 2*b**2 + b + 2. Let r be j(-3). Suppose -h = 4*h - r. What is the remainder when ((-4)\/(-10))\/(4\/120) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27440 and 392.\nAnswer: 27440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56982 (base 11) in base 4?\nAnswer: 110013002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/18? (a) -2\/15 (b) -0.4 (c) -0.1 (d) -0.9 (e) -10 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2652243 to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31619\/11325 or 4?\nAnswer: 31619\/11325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685044.3632 plus 0.4?\nAnswer: 2685044.7632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 15141 = -5055. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = 21584 - 26535 + 89482. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1742854767 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.033 - 4.967. Let b be 216\/(-462) - 2\/(-35)*5. What is the nearest to 1 in b, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*h**3 + 40*h**3 + h**2 - 2*h - 123*h**3 + 38*h**3 + 1 to the form v*h**3 + w*h + z + n*h**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9 = -0*m - 2*m, -2*m = 2*j - 12. Let o = 2 - 2. What is the smallest common multiple of 1 + 0 - (o + -7) and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 11136*m**2 - 12816000*m - 7776000000.\nAnswer: -2*(m - 3000)**2*(m + 432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213.233526ms to days.\nAnswer: 0.000002467980625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*((c**2 - c**2 - 2*c**4)*(-2*c - c + 4*c) + c**5 - 4*c**5 + c**5).\nAnswer: 8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 102 = -0*a. Let b = -19 + a. Suppose 4*w = -3*i + 31, i + b = -4*i. What is the remainder when 19 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 + 29. Does 8 divide 2*(w\/(-6) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 19 = -49. Let f be ((-72)\/(-16))\/((-1)\/z). Which is greater: f or 44?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 23094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70cb (base 13) to base 10.\nAnswer: 15546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (sqrt(48)*2)**2).\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -144 + 341 - 123 + 362 - 2*i + 295 in the form h*i + t and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 20. Let o(i) = g*i + 5*i - 2*i + i. Let q(t) = -309*t**2 - 318*t**2 + 613*t**2. Determine o(q(m)).\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 3.0515\nAnswer: -42.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s + 72 = 0. Let z = -17 + s. Let k = -12 + 14. Put z, k, -4, 0 in descending order.\nAnswer: k, z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g**2 - g + 9. List the prime factors of c(-3).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7208*c**4 - 50*c**3 - c**2 + 308406919*c wrt c.\nAnswer: 86496*c**2 - 300*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2125960617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * 1.253123.\nAnswer: 1.0024984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 10 = -29*t. Is 2768 + t + (-4 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - -4*sqrt(637) - (sqrt(52) + -3))**2.\nAnswer: 162*sqrt(13) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 16, -4, 860, -5 in descending order.\nAnswer: 860, 16, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-2223)*39)\/(((-672)\/9)\/4).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 165477329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 18, -8, -66, -168, -326, -552, -858?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/11 + (-24)\/(-11). Suppose w + 170 = -0*w. Let j be (-2)\/7 + w\/(-7). Solve d*s - 3*s = 5*y + j, -4*y - 5*s - 36 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 2*f + 1. Let h(w) = w**3 - 4*w**2 - 2*w + 7. Let x be h(4). Let u be r(x). Factor 0*k - 5*k + k + u*k + 2*k**2.\nAnswer: 2*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 1 + 54*b + 0*b. Let c(o) = -o**2. Calculate k(c(f)).\nAnswer: -53*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109669 is divided by 616?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*13\/(-130)*20\/120?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 289 = -283 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -237 + 117. Let l(g) = -4*g**2 + 24*g + 24. Let y(b) = -b - 1. Let k(c) = a*y(c) - 5*l(c). Is k(1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/3752450 and 3\/3001960?\nAnswer: 15009800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66781809 and 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -976, -996, -1040, -1120, -1248, -1436?\n\"Answer: -2*d**3 - 6*d - 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2109, -23 in descending order.\nAnswer: 6, -23, -2109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(2*w + 4*w - 4*w) + (-53*w - 87*w + 8*w)*(2 - 1 + 0).\nAnswer: -136*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -9*u + 48. Suppose -4*k + 7 = -4*x - 5, k = 3*x + 1. What is the smallest common multiple of k and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39, -101, -383, -993, -2039, -3629, -5871, -8873?\n\"Answer: -18*p**3 - 2*p**2 + 70*p - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, p: 2}. What is prob of sequence pbp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(4\/3)\/i*((i**(-2\/5)\/i)\/i)\/i*i**(-1\/8)*i*i*((i**(-7)*i)\/i)\/i assuming i is positive.\nAnswer: i**(-1103\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 661091.5 centuries in decades?\nAnswer: 6610915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6777, -27436, -61949, -110322, -172561, -248672, -338661?\n\"Answer: -b**3 - 6921*b**2 + 111*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -826813*c**3 + c**2 - 5765*c - 29.\nAnswer: -4960878*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/13 (b) -1\/4 (c) 6 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + b + 10. What is i(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -42, -70, -110, -168, -250, -362, -510?\n\"Answer: -k**3 - 21*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, f: 1, t: 6, i: 6}. Give prob of sequence iii.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5712683 to the power of 1\/2, to the nearest integer?\nAnswer: 2390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t**(-2)*t)\/t)\/t))**(-1\/15))**(-18)*((t**(1\/2)*t)\/(t\/(t\/(t**(-1\/4)\/t*t)*t)))\/(t\/(t\/t**2))**(-18) assuming t is positive.\nAnswer: t**(871\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675842827 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3177*z - 5780. Determine h(-2).\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -768 (b) -6 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1686498 divided by 66\nAnswer: 25553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25817325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/10 and 83\/28663870?\nAnswer: 28663870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-60) - (-3)\/9. Let y = 8\/5 - r. Which is the second smallest value? (a) -1\/2 (b) y (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3*(-4)\/(-8))\/(27\/(-1368)). Suppose -g*y + 90*y = 1036. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 599 * 0.1.\nAnswer: 59.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 437794057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 28. Let l be z\/(-6) + 129\/(-43). Which is the third biggest value? (a) l (b) -2 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 3. Let b(v) = -22*v - 1. Determine -b(r) - 4*j(r).\nAnswer: 10*r + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796778 + 13196778 = -5*r. What is r rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwiw when four letters picked without replacement from {w: 3, i: 11}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 4128438.\nAnswer: -1651375.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -1.46, -2\/31, -9, -0.3?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 438*a + 38. Let t(o) = o**2 - 6*o - 6. Let r be t(6). Let f be b(r). What is f rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313532*z**2 + 239136*z wrt z.\nAnswer: 627064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2335363166?\nAnswer: 2, 47, 239, 103951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 6 - 14 - 4*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 334\/3333 - 4\/101. Is 0 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -3\/4, 0.12, -2, 1\/5, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1178 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17519 - 64237 = -6*y. Is 6\/15 - y\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028182559 to 5 dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 - (-50 - 101 - -120)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-18)\/(-15))*-2. Let c(b) be the second derivative of b**3\/6 - b**2 + 14*b. Let m be c(i). Solve -4*f - m*h + 22 = -0*f, -h + 22 = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*w**3 - 3*w**3 - 12*w**3 + (-2*w + 1 - 1)*(-2*w**2 + 0 + 0) + 0*w + 0*w + 2*w**3)*(-3 - 2*w + 3).\nAnswer: 42*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/37, -0.4, -4, -2\/13, -0.1?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4658.697 nanometers?\nAnswer: 0.000000004658697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-148)\/111 + 14\/6. Let t(f) = -2*f**2 + 3*f. Let b be t(2). Is 7 a factor of b*((-1 - o) + -12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 3*s - 1. Let r(t) = 3*t + 12. Let o(f) = -5*f - 19. Let x(g) = 5*o(g) + 8*r(g). Determine q(l) + 2*x(l).\nAnswer: -l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) 3 (c) 0 (d) -0.02 (e) -3 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38178245 by 5.\nAnswer: 7635649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 4:22 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181 - -185. Suppose h + f + 87 = 0, -22*h + 20*h = q*f + 174. Which is bigger: -86 or h?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13934381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 - -60. Let k = l + 41. Suppose x - k = -3. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-4*3*sqrt(3))**2 - (6*(-3*sqrt(15) + sqrt(15)))\/sqrt(5)) + 1.\nAnswer: 12*sqrt(3) + 10801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + a = -0*c + 11, -c = a + 1. Sort -23, -3, c in decreasing order.\nAnswer: c, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a\/(a\/a**(5\/16)))\/a)*a*a*a)\/a*a**(-12))\/((a\/a**(5\/12))\/a)**(1\/18) assuming a is positive.\nAnswer: a**(-4013\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31193.8 - 31194. Sort 14, u, -5, 5\/2 in descending order.\nAnswer: 14, 5\/2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**2 + 50*q - 14. Let l be u(8). Suppose -2*x = l, -5*x = -p + 5*p - 19. Solve 0 = -5*s + 8*s + p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spp when three letters picked without replacement from szphohzphsszo?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 139\/3. Let u = 2.1 - -1.9. Let r be (-4 - (-117)\/30) + (-217)\/(-70). Which is the third biggest value? (a) r (b) u (c) p (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Let r = 5 - n. Let k(o) = -8 - o**2 - o**3 + o**r. What is k(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 + -3 + 1. Let h(p) = 23*p + 74. Let q(w) = 11*w + 37. Let n(g) = -4*h(g) + 9*q(g). Let i be n(-5). Sort x, 4, i in descending order.\nAnswer: 4, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382890 is divided by 191432.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 13. Let h be j(6). Let m = h + 2. Let z = m - -40. Which is the third biggest value? (a) -1\/4 (b) z (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 4\/191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -338*j - 15. Suppose a + 1 = -0, -2*a - 35 = u. Let g = 23 + u. Is b(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2))\/(16\/6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**3 + t. Let c = -2 - -3. Let w be d(c). Suppose w = f + 121. Round f 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 5047 and 2575?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 4227.\nAnswer: 219804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40592335?\nAnswer: 5, 7, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Suppose -5*c = -z - 19, 4*z - 4*c + 9 = -3. Solve d*j + z = 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 415 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/405 and -145\/70668.\nAnswer: 3180060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*q**4 - 3*q**4 + 6*q**4 - 4*q**4 + 0*q**4 + q**4 + (-40*q**3 - 77*q**3 + 152*q**3)*(-q - q + 4*q).\nAnswer: 81*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + -38. Let k = m + -48. Let r = -19.3 - k. What is the second smallest value in 1, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((2 - -2) + 1*-51). Let x = k + 52. What is the remainder when 15 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 6*v = 2*v, -2*a + 3*v = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/6 + 17*t**4\/3 - 263*t**3\/6 + 283*t**2\/3 - 56*t = 0. Calculate t.\nAnswer: 0, 1, 2, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(sqrt(272)*1 + sqrt(272)))**2 + -5 + 2*sqrt(272).\nAnswer: 8*sqrt(17) + 4349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14038\/3 or -4678?\nAnswer: -14038\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-4))\/(((-2520)\/96)\/35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - y)*(-19 - 31 + 15).\nAnswer: 35*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -689 - -692. What is the second derivative of -a + 1 + 90977*p - 38*p**4 - 91076*p + 11*p**4 wrt p?\nAnswer: -324*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1376\/56*(-6 - -13). Solve u = -3*b + 175 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**4\/36 - 2*c**3\/9 - 2*c**2\/3 - c - 12. Find f such that r(f) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/2 (b) -0.1 (c) -502 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67\/5 of a millennium?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/4 (b) 0.5 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.5 less than -0.2?\nAnswer: -301.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.001 or -14194?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-26)\/u**17*(u**(-4\/15))**(-1\/11) assuming u is positive.\nAnswer: u**(-7091\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = -5*y + 410, 5*y = 3*c + 406. Suppose 33 = 9*h + 33. Suppose -4*b = -h*b - y. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/9 + 2493590*d**2\/9 - 2493596*d\/3 = 0.\nAnswer: -1246798, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 165\/(-231)*(-4 + 1944\/484). Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 1:02 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1903 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 251, 249, 247?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 - 7*t**2 - 7. Suppose 3*r - 31 = -5*b, -5*r = -4*b - b + 15. Suppose -b*c - 16 = -c. Let m(x) = -x**3 + 2*x**2 + 2. What is c*f(z) - 14*m(z)?\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2614 a factor of 472185118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n + 5. Let u(k) = -36*k**2 + 2*k. What is u(p(s))?\nAnswer: -1296*s**2 + 2148*s - 890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 310965883 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -66, 8, 0.5?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.09 (b) -10259 (c) -1\/10 (d) -1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-8))\/(58\/(-348) - 14\/(-192)). Solve -w = -188*g + 182*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-142 + 300 - 127)*(6 - 15 - 1386*k + 8 + 1) as y + z*k and give z.\nAnswer: -42966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56225927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - 10*b**3 - 9*b**3 - 3*b**2. Let r(j) = -35*j**3 - 7*j**2. Let v(i) = 9*n(i) - 4*r(i). What is the third derivative of v(o) wrt o?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-110 - -113)*1\/3*-2. Which is greater: -22 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 5*k. Suppose p = 47 - 19. Suppose 0 = -4*x + 8, 6*y - p = y - 4*x. Give q(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aja when three letters picked without replacement from aaajaajjaaajaj.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 8*h - 12. Let j be d(-9). Let m(p) = -2*p**3 - 2 - 3 + p + 3. Is m(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.36 + -3.4. Which is smaller: -0.1 or p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 132372899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -489*w - 2442. Let i be y(-5). Suppose 6*p - 2*p - 20 = 0. Let l = 30 - p. Solve 0 = -f - i*v - 4 - 1, 2*v + l = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -z + 2, 5*z + 7 - 17 = 3*t. What is the fourth biggest value in z, -0.2, 3\/5, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 5*u**2 - u + 9. Let h be f(-5). Let t(b) = -36 + 19 - 17 - h*b - 2. Let l be t(-6). What is l rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18970)\/(-21) - (22\/(-6) - -3). Calculate the highest common divisor of 40 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, c: 2, b: 2, x: 1, q: 2, h: 1}. Give prob of picking 1 z, 1 h, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 424 + -413. Solve 20*w + 9 = v*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1149, 4897, 11135, 19857, 31057, 44729, 60867, 79465?\nAnswer: 100517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 32, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1, -2, -27, 26 in increasing order.\nAnswer: -27, -2, -1, 1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5588.018 - -5579. Let z = -9.1 - x. Round z to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 3 - (22 + -36 + -1)) + -40?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**4\/21 - 986*u**3\/21 + 5444*u**2\/21 + 1231424*u\/21 + 1206272\/7 = 0.\nAnswer: -496, -32, -3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 19*c**2 + 24*c. Let a(h) = -18*h + 7*h - 5*h**2 + 5*h. Let b(f) = -22*a(f) - 6*p(f). What is i in b(i) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, m: 1, l: 3, r: 9, w: 2}. What is prob of picking 1 l and 1 o?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2 - 2*m - 2. Let x be g(2). Suppose j = 4*j + x. What is the units digit of 27\/j*56\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 621? (a) 0.3 (b) -1 (c) 124 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -407 + -24?\nAnswer: -42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151723546 to the power of 1\/2, to the nearest integer?\nAnswer: 33937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-108)\/(-72)*-2*1\/(-7). Which is the closest to 2\/5? (a) -2 (b) 1 (c) 2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 5. What is n(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -575 - -634. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:01 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -322 * -0.5226\nAnswer: 168.2772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -13*j + 2. What is l(4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/4, -0.2, -439, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*-1*9\/54. Suppose 5*p - 3*x - 9957 = k, 6*p + 2*x = 4*p + 3986. What is the greatest common factor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q + 69. Let j(o) be the second derivative of o**3\/3 - 18*o**2 - 165*o + 2. Let i(v) = -5*j(v) - 3*y(v). Give i(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 3\/(-1) - 396\/(-6). Suppose -z = -3*u - 36. Calculate the least common multiple of 125 and u.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -851742, -851726, -851710, -851694?\n\"Answer: 16*t - 851758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16981263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 5*j + 75, -j - 53 = -s. Let c(o) = -o**3 + 47*o**2 + 45*o + 155. What is c(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0 - 0) + -4)\/(-2). Suppose -t - 2*p = -10, -p + v = -2*p. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18598739498 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1261 + 1381 + 1305 + 2706)*((-3*i**3 - 3*i**3 + 4*i**3)*(-4*i**2 + 0*i**2 + 3*i**2) - i**2 + i**5 + i**2 - 2 + 2 - 2*i**5).\nAnswer: 4131*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/103, 1\/17, -84\/17?\nAnswer: -84\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 60, 24, -86, -294?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -17\/2*g**2 - 11*g + 2 + 43\/6*g**3. Differentiate o(s) with respect to s.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssfsssf. Give prob of sequence sf.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - w**2 - 2*w**2 + (4 - 3 + 0)*(0*w**2 - 4*w**2 + 2*w**2) - 2*w**2 - 2*w**2 - 9*w**2)*(7*w + w - 4*w).\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3917 in -0.1, -0.5, 0.3, -0.133?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10523 + 28421. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*a - 1 - 38*a - 3.\nAnswer: -170*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -573055 + 322?\nAnswer: -572533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 292.3 + -279. Round j to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from qyqyyyy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.4 and 127?\nAnswer: 431.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.23 - -0.03. Let j = k - -1. Let c = 17 - 67\/4. Which is smaller: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5887 a factor of 1966799669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2392*s - 17 = 2375*s. Let l(w) = w + 1 - 155411*w**2 - 1298021*w**2 - 646570*w**2. Let k be l(s). Round k to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15192000 to the nearest 100000.\nAnswer: -15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 5*j**2 - 7*j - 1. Let f be q(-6). Let b = -42 - -41. Sort b, -4, f.\nAnswer: -4, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 737042 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007171771434 rounded to 6 dps?\nAnswer: 0.000717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 358 - 362.506. What is d rounded to one dp?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = 23\/4128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 18. Let j = p - 38. What is the units digit of (2\/(-4))\/(3\/j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 5, s: 1, q: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.4081 - 0.0119. Let o = p - -29. Let a = -0.609 + o. What is a rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7099.786mm?\nAnswer: 7099786000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s - 98. Let z(p) = -1009*p**2. Determine a(z(k)).\nAnswer: -3027*k**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3074986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 26. Let s = q + 4. Let o be (-1 + 19)*6\/4. Calculate the greatest common factor of s and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/32 and 83\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 165 = y - 795, 2*y - 1261 = 5*r. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15219454631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*n + 22 = j, 4*n - 8 = 3*j. Let r be (j + 3\/(-3))*1. Suppose 146 = 2*a - r*y + 6*y, 12 = -3*y. List the prime factors of a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-20689300.\nAnswer: -103446500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-27)*(-18)\/8. Let x be -4295*((-17)\/5 + c). Suppose -1457 = -5*h + x. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -19*s**2 - 578*s + 214. Give t(-32).\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2 + 1 = -258*f + 263*f, -69 = -a - 22*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -382 - 365 + 17 + 177 + 2*o - 306 in the form q*o + i and give i.\nAnswer: -859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*j**3\/9 - 37586*j**2\/3 - 2133014*j\/9 - 73150\/3 = 0. What is j?\nAnswer: -1925, -19, -3\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:17 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -19*i + 605. Let k be h(31). Solve 2*z = -26 + k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -878 + 971. Solve -96*a = -f*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 - 538344*z - 3768555 = 0 for z.\nAnswer: -7, 179455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*q + 10, -3*o = 4*q - 0 - 35. Suppose -p = -o*l - 0*l + 17916, -4*p = 5*l - 17936. Let k = l + 396416. What is k rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -41.108. Let g = w - -4.408. Let v = 4 - g. Which is the second smallest value? (a) 2 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-80))\/(33\/(-88))*8\/(320\/225)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -7\/2994071?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1840 - -1472. Let v = -1100\/3 - n. Factor -v*u**2 + 16*u - 48.\nAnswer: -4*(u - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 3 = -46. Which is smaller: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 117103763+78\nAnswer: 117103841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)\/h**5*h**(2\/9)\/(h*h*h**(-6))*((((h*h**(-2\/5)*h)\/h*h*h)\/h)**(-17\/4))**(-2\/13) assuming h is positive.\nAnswer: h**(-2183\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 444 = -f. Let g = -107 + f. Suppose 8 = 3*k + k. Solve 0 = -k*i - 2 - g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**3 - 9*i**3 + 4*i**3)*(-2 - i + 2)*(-1 - 1 + 4) to the form m + t*i**2 + v*i + z*i**4 + y*i**3 and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17778, -35560, -53344, -71130, -88918, -106708?\nAnswer: -124500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 983*x**6 + 311*x**2 - 5?\nAnswer: 117960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, -4\/3, 7\/10, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -11*z + 18. Let n be z + -3 + 1 - 126\/(-1). What is the greatest common divisor of 25 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-161)*(2\/(-4))\/(-1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/8 + (-2)\/(-20). Let a = -16 + 25. Let i = a + -8.7. Sort i, x, 4 in decreasing order.\nAnswer: 4, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71 - -1960926.6?\nAnswer: 1960925.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*c**4 - 198*c**4 + 55*c**4)*(54*c - 58*c + 129*c).\nAnswer: -28125*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 2\/11675965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 - o**2 + 6*o**2. Let p(v) = 13*v**2. Calculate x(p(n)).\nAnswer: 338*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3253535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 42*i**2 + 2*i - 2. Let p be w(1). Let q = -115 + p. Let z = -263 - q. Round z to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -19. Let u = 127 + d. Calculate the highest common factor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1022 and 1\/16.\nAnswer: 8176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbfz when four letters picked without replacement from bzzfzffzzzf.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/8 - (-2)\/(-4)*-10?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*m**2 + 290*m**2 - 103*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56 in 146, 22, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = p - 151, x - 611 = -2*p - 2*p. Let o be (-1)\/(4\/(-14) + p\/609). Solve 5*j - o = -4, -5*t - 3*j = -10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21781 + 51722. Suppose 5*r + 2*q + 2551 = x, -4*r + 21895 = 5*q. Round r to the nearest 100.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -b76a49?\nAnswer: b76a4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 5631.1\nAnswer: 16893.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2817, 9360, 15891, 22404, 28893, 35352, 41775, 48156?\nAnswer: 54489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9236583 and 379476.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knnnnnhng. Give prob of sequence nnhn.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.790001763 + 1.79. What is a rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*(((-5*(sqrt(1216) + 0) - sqrt(1216)) + sqrt(1216) - sqrt(1216)) + 1 + (sqrt(1216) - 2*sqrt(1216))))**2.\nAnswer: -448*sqrt(19) + 238340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 0 - 89*k - 52*k + 1 + 142*k. Let o(g) = -2*g. Calculate 2*j(h) - o(h).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-825)\/99)\/(-25)*165\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a microgram in nanograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.235 not equal to 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -18 + 28 + (5 + 51)\/(-7). Solve 0 = -2*s - 4*x + v, 2*x = 2*s - 21 + 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39850 is divided by 718?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (18\/21)\/(-5*(-180)\/1400)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.325623 months to centuries.\nAnswer: 0.0052713525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 4*x**2 - 5*x - 21. Let u be d(-3). Suppose -u*g - 2*g - 20 = 0, 2*v + 3*g = -12. Solve v = z + 5*t + 6, 3*z - 4*t = -2*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -2. Let q = 37.9913 + -36.9913. What is the closest to -3 in q, -0.9, i?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = y, -22*x - 18 = -20*x + 2*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6*j + 3936 = 0, 17*d - 18*d + 4*j + 808 = 0. What is the highest common factor of 616 and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 7*n**2 + n + 4. Let m be d(-7). Let y = m + 5. Let u(l) = 2*l**2 - 3*l**2 - y*l**2. Let v(s) = -s**2. Calculate v(u(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 14 + (-18 + 17 - 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 10*v**2 - 23*v + 16. Let s be k(-12). Solve 3*r - 2*j + 11 = 0, 0 = 2*r - 4*j - s + 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2 + o**2 - 1 - 4*o + 11. Let j be x(8). Calculate the greatest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-100)\/(-22)*(-20)\/75. Let q = m + -16\/11. Which is smaller: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 12 = -5*j. What is the closest to 2\/5 in -2\/31, j, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -57 (b) -5 (c) -3 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 8*z + 12. Does 14 divide w(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 955*d**3 + 11*d**2 + 6. Let v be s(13). Round v to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*t - 12 = 4*k, 0 = 2*k + t - 9. Suppose k*q + 106 = 2017. List the prime factors of q.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 572922 (base 10) to base 13\nAnswer: 170a0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + m = 20, 4*l = -4*m + 24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 917626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-40)\/(-140)*(-252)\/(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1 - (-3 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 24*k**2 - 24*k + 25. Let c be t(23). Suppose 0 = 2*o - c - 8. Solve -o*j = -z + 20, -40 = 5*j - j + 4*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.069 from -6819.\nAnswer: -6818.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 2*a - 1. Let w = -2 + 3. Let d be o(w). Solve 0 = -d*y + 3*z - 17, 2*y + 2 = -3*z + z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 9. Let c = 3.999985 + k. What is c rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + d + 4. Let z(a) = -a**3 - 10*a**2 + 6*a - 1. Let o(t) = -4*u(t) - z(t). What is o(-8)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, v: 2, e: 1, f: 1, g: 10}. What is prob of sequence gbgf?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 12*u**2 + 2*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46227486 + -29.\nAnswer: -46227515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7614 divided by -94.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 5 + 25 = 0. Differentiate 12 - 42*n**w - 4 - 29 - 6 wrt n.\nAnswer: -84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 4*l - 4*l)*(2 - 25 - 40).\nAnswer: -315*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17486 rounded to 3 dps?\nAnswer: -0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -873.\nAnswer: -873, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -28, 2 in descending order.\nAnswer: 2, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30191*d**2 - 17008*d**2 - 7399*d**2 - 41943 + 20971 + 20972)*(d**3 + 3*d**3 - 5*d**3).\nAnswer: 54598*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i. Let d(c) be the second derivative of -7*c**3\/6 - 27*c. Give j(d(t)).\nAnswer: 49*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20cc - -19d?\nAnswer: -1d2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 295587 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2224 - -2272. What is the remainder when 618 is divided by h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.04244 to two dps.\nAnswer: 5.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104031?\nAnswer: 3, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 = 2*h, -1 = -a - 5*h - 3. Sort 4, -2, -24, a in decreasing order.\nAnswer: 4, a, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a\/(a*a\/a**(2\/3)*a*a)))**(-19\/2))**(-50))**(-8\/11))**(2\/25) assuming a is positive.\nAnswer: a**(-3040\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8450153 - -8?\nAnswer: 8450162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -929.8 - -924. What is o rounded to 1 decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 30. Let d(n) = 826*n**2 + 4*n + 148. Give -d(w) - 5*y(w).\nAnswer: -826*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 + 21*o - 3. Let c(s) = -23*s**2 - 119*s + 17. Let y(v) = 6*c(v) + 34*j(v). Let q(r) = 827*r**2. Determine y(q(f)).\nAnswer: -1367858*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -10*m + 11*m. Solve -24*f - 12 - 22*f**m + 7*f**2 + 12*f**3 - 15*f**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -66*s + 1753. Determine q(26).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 67098.\nAnswer: 4562664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 48*j**2 + 17*j + 20. What are the prime factors of i(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.0505 - -1.5505. Put f, 10, -1\/3, -0.04 in decreasing order.\nAnswer: 10, f, -0.04, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o + 310. Suppose 0 = w + 2 - 4. Suppose -4*r + w*v + 73 = 3*v, -2*v = r - 27. What is the remainder when r is divided by b(76)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2 + 8. Let n(a) = 6*a**3 - 3*a**2 + 4*a + 5. Let r be n(u). Round r to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**5\/360 - p**3\/36 + 21*p**2\/2 - 37. Let i(u) be the second derivative of j(u). Suppose i(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 36*x**4\/7 - 5248*x**3\/7 + 190548*x**2\/7 + 8760*x - 682112\/7 = 0?\nAnswer: -2, 16\/9, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25185070, 25185072, 25185076, 25185082, 25185090?\nAnswer: 25185100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -959 divided by -4.\nAnswer: 959\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-60))\/((1\/6)\/(23\/(-23)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*p - 13, -a = -5*a - p + 5. Let d be (2\/(-12))\/((15\/20)\/3). What is the smallest value in d, a, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1734*g**5 - 1663416*g**4 - 33889575*g**3\/2 - 9751725*g**2\/2 - 355875*g = 0. Calculate g.\nAnswer: -949, -10, -5\/34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(18\/(-3))*15. Suppose t = c + 6. What is the units digit of (1 - 16\/(-2)) + c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -9*i**5\/4 + 95*i**4\/6 + 185*i**3\/6 - 25*i**2 - 569*i. Factor v(h).\nAnswer: -5*(h - 5)*(h + 1)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51083, 51138, 51215, 51308, 51411, 51518, 51623?\nAnswer: 51720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -34843.48 to the nearest 10.\nAnswer: -34840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**5 + 4284*d**4 - 2039184*d**3 + 323550528*d**2 = 0.\nAnswer: 0, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 5 + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72.07 in 1, 2, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -33. Let d be ((-16)\/(-42))\/4*v. Which is the third biggest value? (a) 0.3 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cca when three letters picked without replacement from {a: 1, k: 1, i: 1, c: 2, l: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 4*x - 20 = 44, -31*d - d + 3*x = 250 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/27*(-6)\/8. Let m(x) = -2*x - 11. Let d be m(-5). What is the second biggest value in d, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {h: 5, d: 8, j: 5}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163980 is divided by 4938?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 124\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6 + 351*p**4 - 2*p**3 - 3923*p**2 + 12 wrt p?\nAnswer: -240*p**3 + 8424*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 - 61. Let s = -6989 - -6985.883. Let v = s + 0.117. What is the closest to m in -3\/4, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2442 divide 748465674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvve when four letters picked without replacement from {p: 1, g: 1, e: 4, v: 6, f: 2, x: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlnx when four letters picked without replacement from {n: 5, j: 1, h: 4, g: 1, l: 3, x: 4}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**2 + 606848*w + 606844 = 0.\nAnswer: -151711, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -354 + 350. Calculate the lowest common multiple of j\/(-8) - 284\/(-8) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*s)*(0*s - 4*s + 0*s) - 5*s**2 + s**2 + 2*s**2 - 5 + 5 + s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y**2 + 0*y**2 - 3*y**3 - 4*y**3 + 10*y**2 as u + d*y + q*y**3 + o*y**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 1, d: 1, z: 2, a: 2, y: 1}. Give prob of sequence yz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 57.999485. What is p rounded to 5 decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4\/2 + 23*a**3 + 341*a**2\/2 - 2192*a + 3510 = 0.\nAnswer: -27, -26, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -121 divided by 3\nAnswer: -121\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51047 + -51046.9967359. Round p to five dps.\nAnswer: 0.00326","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b**2 + b - 2. Let h be y(1). Let f(d) = 2*d**2 + 11*d + 12. Let k be f(h). Suppose -4*x - 201 = -3*m, -k = 2*m - x - 191. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncncnsns. What is prob of picking 1 c and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3))\/(a*a\/(a*a\/((a*a*a*((a*(((a**21*a)\/a)\/a*a)\/a*a)\/a)\/a*a)\/a))*a) assuming a is positive.\nAnswer: a**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*u - 3*n = -266*u + 45754, n + 54910 = 6*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -22. Suppose 5*f = v - b, 4*v - 5*f + 3*f = 44. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 48*k**3 - 65*k**3 - 3 + 5*k**2 - 2*k**2 + k**2 + 5 to c*k**2 + s + z*k**3 + i*k and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*l**2 - 2138438*l + 55252939 wrt l.\nAnswer: -8*l - 2138438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 481 - 1090 + 609.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(896)*5)\/(-3*(3*sqrt(1008) + sqrt(7))*1).\nAnswer: -160*sqrt(2)\/111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziiiiiziizizizii. What is prob of picking 4 i?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2 - 2*g - 7 + 3*g + 0*g. Let u be z(8). Let t be u\/15 - (-9298)\/10. What is t rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*n = 5*n + 43344. What is the highest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -419, -548, -603, -560, -395?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -2\/31, 3.2 in decreasing order.\nAnswer: 3.2, 4\/5, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4566.\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3538610618 to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 518 + 162. Let 89 - 4*w + 2*w**2 - b = 0. Calculate w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196*y = -627*y - 4623*y + 72972 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 3*x - 8*x**3 - 6 + 9*x**3 - 2*x to the form w + z*x**3 + d*x**2 + c*x and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -108144351.\nAnswer: 32443305.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -12. Let h be 1060\/(-25)*(-10)\/s. Let t = -143 + h. What are the prime factors of t?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9414001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, -0.04, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 - -12) + -2 - 15) + (186 - 146).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 11788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 17 - (-40 + 30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = 3*t. Let i be (-2)\/(-36)*3*t. Let o = 3 - 2. Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 798115.6 nanometers?\nAnswer: 0.07981156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 5*h**2 - 3*h - 7. Let m be r(6). What is m rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*q + 35. Sort -4, 4, 1, q.\nAnswer: -4, 1, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*q = 744*q - 40*q - 2319 - 32001 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 2, 0 = 4*a - c + 10. Let s = 2 - a. Let h(k) = k**3 - 5*k**2 + 3*k + 2. Calculate h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2 = 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 52, 2, -72, -2\/3, -0.4?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5216300 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 662029917 to the power of 1\/2, to the nearest integer?\nAnswer: 25730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8432816699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -972\/7 - 54*y - 20\/7*y**3 - 2\/7*y**5 - 4*y**4 + 600\/7*y**2 = 0. What is y?\nAnswer: -9, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5984257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 73 = -b - 61, 4*b - 4*n = 0. Suppose -b*p + 260 = 4*u, -125*p = 5*u - 130*p - 295. What is the lowest common multiple of u and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2371320?\nAnswer: 2, 3, 5, 7, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 45 = -21 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (267 + 132 - 28)*(-2 + 1 - 1)*(1 + i - 1)*(-i**2 + 0*i**2 + 7*i**2) to the form l*i**2 + b*i**3 + f + x*i and give b.\nAnswer: -4452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -1\/6*x**3 + x - 2 - x**2. Let m(w) be the first derivative of o(w). What is the first derivative of m(y) wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 232*c**2 - c. Let g be o(4). Suppose 15*j + 543 = g. Is 50 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.2 (c) -1\/5 (d) -34 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4311568.\nAnswer: 2, 269473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 562 - 544. Solve v + n = 5*x, 9*v + 4*x + 3 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/10 + (40\/(-25))\/(-2). Suppose 3*f - 632 = 2*a, l*f + 4*a - 431 = 593. What is the highest common divisor of f and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265, -275, -303, -355, -437, -555?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4451357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 10) to base 16\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c + 36. What is u(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + m + 3)*(3 + 1 + 1)*(7 - 3 - 2)*(1 + 0 - 3).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 355*w**2 + 3063*w + 464. Give n(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1917 (b) 9 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b55e (base 15) in base 11?\nAnswer: -26894","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**3 - 9*h**2 + 20*h - 19. What is the hundreds digit of x(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 2)\/((-285)\/38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 + 17*j**2 - 6*j - 10. What is d(-9)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*x + 46*x + 1120. Suppose 0 = 9*r - 8 + x. Let p(o) = o**3 - 9*o**2 + 10*o + 2. Let b be p(7). Which is smaller: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 4, b: 1, g: 1, p: 2, u: 3, o: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 231.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -16*v**2 + 6*v + 16. Let n(x) = 3*x**2 - x - 3. Suppose 0 = -2*g - w - 23, -3*w - 36 = g + 2*g. Let m(q) = g*n(q) - 2*s(q). Calculate m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 9189.\nAnswer: -2\/9189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 22 = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1062, 1879, 2696?\nAnswer: 3513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26.1349 and 20.\nAnswer: -6.1349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/40*(-140840)\/(-179571).\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 1, m: 2, n: 2, k: 1, d: 1}. Give prob of picking 1 n, 1 k, and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70941, -141783, -212625?\n\"Answer: -70842*f - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 21. Let l = 89\/14 + -216\/7. Let r = y + l. Which is the third smallest value? (a) 1\/3 (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/6)*i*i*i**(6\/5))\/(i**(1\/3))**(4\/7))**(2\/49))**(2\/47) assuming i is positive.\nAnswer: i**(1334\/241815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38642398 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-11 - -3 - (2 + -4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 16.3. Let u = -2.6471 - -2.94708. Let y = u + o. Round y to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = w, -27*c - 51 = -26*c + 11*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 653 + 351 = 0. Let k = r + -215. What is the remainder when 179 is divided by k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166 - 30. What is the highest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5312a - -2?\nAnswer: 5312c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-80)\/4))\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 39 - 5 = 0. Let o = g - 5. Suppose -2*f = u + o, -16 = 5*f + 2*u - 0*u. What is the third biggest value in 0.5, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1543156, 1543155, 1543154?\nAnswer: 1543153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 6*z**2 - 5*z + 4. Let d be a(5). What is the second derivative of -4*u + 5*u + u**d - 4*u + 4*u wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 + 4*z + 3. Let b be j(-1). Suppose 0 = 2*u - b*l - 202, -u - 301 = -4*u + 4*l. Calculate the highest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g + 176. Let l be s(-14). Let m be 851\/92 - (-6)\/l. Solve -a - 4*a - 5*h - m = 0, -14 = 3*a - 5*h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -23 - 97 + 39 - 430*o + 18 + 88*o. Let f(w) = 11*w + 2. What is -63*f(a) - 2*s(a)?\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4642 a factor of 817963398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1170)\/429)\/((-21)\/308)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64639 + 95757. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.971 - 0.029. Let f be (-9)\/3*(-4 - 1). What is the second biggest value in b, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*z + 90. Let y(m) = m. What is the remainder when z is divided by y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 24 + -33 + (8 - -6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.2022409?\nAnswer: -0.2022409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 91*p**2 + 177*p + 96. Let f be u(89). Let d be (-12)\/(-9) - (0 - -1). Sort 4, f, d in increasing order.\nAnswer: d, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155879737765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200121102200 (base 3) to base 13.\nAnswer: -3b0670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -241864*f**5 + 13*f**3 - 35*f**2 + 3*f + 7134.\nAnswer: -14511840*f**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -128*a - 521 + 4448 + 10921. Solve -a*b - 12 = -112*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(143))\/sqrt(11) - (1*sqrt(832) - sqrt(13)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**4\/6 - 13*y**3\/3 + 41*y**2\/2 - 10*y. Is j(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 16*o + 3. Let m(b) = -2*b - 2. Let j be m(7). Let a be y(j). Let f be a\/6*(-4)\/(-8). Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(15\/4))\/((-1)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*t - 5 + 7 + 0 to the form q*t + k and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12984 is divided by 711?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 29\/70*w**7 + 0*w + 7\/5*w**5 - 74*w**2 + 0 - 113\/80*w**6 - 1\/224*w**8 + 0*w**3 + 0*w**4. Factor u(g).\nAnswer: -3*g**2*(g - 56)*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2 - 2)*((-2 + 1 - 1)*(-2 + 0 + 1) + 7 - 3 - 3)*(0 + 0 + o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2. Let w(k) = 15866770*k**2. Give w(y(p)).\nAnswer: 15866770*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j - 20. Let x be h(8). Which is the third smallest value? (a) x (b) 1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*v + 15 + 141 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 32, 43, 38, 11, -44?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 41*w + 1099. Give z(62).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -14*q**2 + 1. Let i(p) = 26*p - 2. What is i(b(h))?\nAnswer: -364*h**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 9) + (7 - (14 - (7 + -7)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 177629031 to the power of 1\/3, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 15*q. Let u(x) = 8*x. Suppose 893*g - 120 + 5478 = 0. Suppose t - 24 = 4*h - 5, -h = -4*t + 46. What is g*l(f) + t*u(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24586?\nAnswer: 2, 19, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-11168200)\/(-266) + -1*(-6)\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/34103346 and 71\/56838910?\nAnswer: 170516730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 304.359.\nAnswer: -307.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 7.4953912?\nAnswer: -7.1953912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 13*q - 1. Let r be c(8). Let f be 549\/15 + (-10)\/r. Solve -8 = f*g - 41*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68422372*u**2*y**3 + 78*u**2*y**2 - 36*u*y + 1351*y**2 wrt y.\nAnswer: 410534232*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11*n + 47. Let b be o(14). Let i = -104 - b. Solve 7 + i = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 65.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135 + 159. What is the units digit of 1 - 6\/k*115*-20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:30 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 8 - (6 + -10 + 15)) + (-11 - -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + 4 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.9568t to nanograms.\nAnswer: 30956800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 2 + 5 + (-4)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -293*24.03\nAnswer: -7040.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, c: 11, u: 1, d: 1, q: 1, w: 1}. Give prob of sequence qn.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -658 + -3?\nAnswer: -65b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -479062, -958065, -1437068?\n\"Answer: -479003*y - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 12*g**2 + 8*g + 23. List the prime factors of c(13).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*r - 4*x + 9, 8 = r - 5*x. Let k(y) = -y**3 - 6*y**2 + 8*y + 9. Let h be k(r). Factor -2\/7*q**3 + 0 - 2\/7*q - 4\/7*q**h.\nAnswer: -2*q*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*f - 2)*(-4994*f**2 - 24*f**3 + 10*f**3 + 4897*f**2).\nAnswer: 56*f**4 + 388*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221935493 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 129 (b) -25 (c) -0.5 (d) -5833\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.235 - 3.27. What is g rounded to 1 decimal place?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36929245?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2209218 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snppnnssqn. Give prob of sequence nnp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 12 = 4*r - 26, 5*f = 5*r - 55. Suppose 6*n - c = 0, 36 + 26 = 42*n - 43*n - 5*c. Put n, 3, -3, r in descending order.\nAnswer: r, 3, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1225, 4721, 10555, 18733, 29261, 42145, 57391?\nAnswer: 75005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45, -53, -57, -51, -29, 15?\n\"Answer: i**3 - 4*i**2 - 3*i - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2743 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, n: 1, o: 1, h: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = m - 5*t, 3*m - 15*m - 10 + 9 - 3 = -9*m + 2*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295 and 5382511?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r**3 + 444*r**2 - 20576*r + 73920 = 0. What is r?\nAnswer: -231\/5, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l. Let n(j) = -8*j - 1. Let y = 1776 + -1772. Give y*n(a) - 18*i(a).\nAnswer: 4*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3*s = 70, -5*q + 2345*s = 2340*s + 125 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 27*j - 1070 = 5*m, -4*j + 864 = -2*m. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -7 + 6 + 3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8188505 rounded to 4 dps?\nAnswer: -1.8189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6965642741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/685 and -22\/75.\nAnswer: 10275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 59, 204, 481, 932, 1599?\nAnswer: 2524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3153 divided by -29?\nAnswer: -3153\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -58. Let q(m) = m**3 - 6*m - 2*m**2 - 5*m**3 + 2 + 2*m**3 + 5*m. Let c be q(-2). What is the greatest common factor of c and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 894*a**3 + 1284*a**3 - 1538*a**3 + (0*a**2 - 2*a**2 - 11*a**2)*(0*a - 3*a + a) to d*a + g*a**3 + v + t*a**2 and give g.\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 26*r. Let m(o) = -8*o. Let s(p) = -5*k(p) - 16*m(p). Let b(j) = -j**2 + 25. Determine b(s(y)).\nAnswer: -4*y**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*h - h**2 + 0 - h**3 - 1\/3*h**4 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 10\/11, 2, -4, 80, -5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 15*d + 4*d + 2*d - 14*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b - 3. What is f(7)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-28))\/(3*(-6)\/(-63)). Which is the biggest value? (a) -4\/3 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - 36.8. Let s = z + 41. What is the nearest to 3 in -5, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 849439127 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15*(0 - (-6)\/15). Let m = q - -10. What is the first derivative of 5 - 3 - 2*i**4 + i**m wrt i?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50 and 48\/847.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-10)*(5 + -10). Let g = u - -7. Let p be 188\/24 - g\/6. Calculate the highest common factor of 24 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1094.431, -5?\nAnswer: -1094.431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 73\/949*(-1)\/(12\/8)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (6 + 873\/(-63))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p - 3*p**2 + 6*p**2 - 9*p + 3*p - 36 + 9*p to the form g*p**2 + c + v*p and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 4.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 6*u - 4. Let j be x(10). Let d = j + -51. Calculate the remainder when d is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 5*v**2 - 2*v - 2. Let g be (-1 + 2)\/((-3)\/(-21)). Suppose g = -3*x + 19. Calculate d(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 5 = -55. Let y(a) = -a + 1. What is y(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**4\/4 + 11*f**3\/3 + 6*f**2 + 15*f - 8. Let a be c(-10). Put -6, -1, a in increasing order.\nAnswer: -6, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**4 - z**3\/6 + 23*z**2. Calculate a(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 17216906?\nAnswer: 34433812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 11. Let y be x(7). Let t = 19 - y. Let u be ((-460)\/t)\/((-2)\/6). Calculate the highest common divisor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 423 = 4*w + 23, -5*z - 2*w = -497. Suppose 2*l = -11 + 33. Calculate the greatest common factor of z and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*b + 26 = 3*j, -4*b - 10 = j. Suppose j*h = h. Let t be h\/8 + 7*1. Solve -2*s = -0*v + 2*v - 2, -3*s = 5*v - t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5. Suppose b = 3*w + 5 - 11. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18440 and 493860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 164 = -3*z. Let j = 61 - z. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.048, 8, -2\/3, 15, 428.\nAnswer: -2\/3, -0.048, 8, 15, 428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (775\/3)\/((-3350)\/(-402))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.191 and -24.9.\nAnswer: 4.7559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 813453.8kg in grams?\nAnswer: 813453800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -886, -883, -870, -841, -790, -711?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*-50110\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 10 = 3*d - 4*a, -3*d - 3*a - 18 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6974*h = -6979*h + 99675. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -98222?\nAnswer: 98226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*y + 2618 = 2620, -27*n - 2*y - 31 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187.40000991 + -187.4. What is t rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 117*p - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**5\/20 + 4*i**4\/3 - 10*i**3\/3 + 5*i**2 - 4*i. What are the prime factors of w(-17)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/11))**(-32))**(-39) assuming s is positive.\nAnswer: s**(-7488\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -1 + 0 + sqrt(17) + 1)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2 + 313*u - 2568 = 0. Calculate u.\nAnswer: -321, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1854 and 3.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2490.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*x**2 + 14345855*c**2 - 2596750*x**3 with respect to x.\nAnswer: -2*c**2*x - 7790250*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/2, -12, -0.6 in decreasing order.\nAnswer: 3, -1\/2, -0.6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37581.\nAnswer: 3, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 6\/7, -1\/4, 8\/3, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.926 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2419*z**2 - 4389*z**2 + 5*z**5 - 225*z**4 - 5065*z**2 + 4410*z + 601*z**3 + 2244*z**3 = 0 for z.\nAnswer: 0, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751432785, -1502865568, -2254298351, -3005731134, -3757163917, -4508596700?\nAnswer: -5260029483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35032 (base 8) to base 7.\nAnswer: -61236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1 (c) 0.7 (d) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 46 = 20*m - w, 0 = -3*w + 12. Solve -11*t - 1 = -m*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -117*y**4 + 13*y**2 - 23*y - 11. Let j(u) = -58*u**4 + 6*u**2 - 11*u - 6. Let g(f) = -6*a(f) + 13*j(f). Find the second derivative of g(h) wrt h.\nAnswer: -624*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 22 = -4*x. Let l = x + -10. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.64026 to one decimal place.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7880652, 7880651, 7880650, 7880649, 7880648, 7880647?\nAnswer: 7880646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n - 41. Let s be q(13). Calculate the greatest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/154)\/((-10)\/(-28))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/330 and -41\/66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-612)\/126 - -1*(-4)\/28?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - (-3 + 5 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 + (-6 - -5375) - (1 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 126 = 5*z, 21 = -2*z + 57310*v - 57311*v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + (-68)\/10)*-5?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4044 - 4442*u**2 - 2022 - 2028)*(0 + u + 0) as y*u**3 + v*u + n + q*u**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 176 (base 10) to base 8\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 1. Let c(r) = -2*r**3 - 2*r**2 - 2*r - 1. Let y be c(-1). Let i be g(y). Solve -4*f = -12 - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 6 = 12*j. Solve a + j = -1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 648 - 274. What is the highest common divisor of 34 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 2*u**3 - 2*u + u + 4*u - 2*u. Let f(s) = -4*s**3 + 7*s. Calculate -6*f(c) + 14*w(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*y**3 + 11*y**3 + 9*y**3 + 10*y**3 + 10*y**3 + 16*y**3.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -77, -5, 3, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 <= 2\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxam when four letters picked without replacement from {m: 2, x: 2, v: 4, n: 1, s: 2, a: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/181428 and 95\/544284.\nAnswer: 544284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88272.9989 - 88277. Let k = -4 - h. Round k to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -17. What are the prime factors of 58 + -1 + p\/2?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375882.\nAnswer: 2, 37, 18593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/5))**(-3\/7)\/(d**(3\/8)*d**(-1))*((d**(-1)\/d)**(-45))**2 assuming d is positive.\nAnswer: d**(7201\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-2 - -3 - -2) + -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**5 + 3312*n**4 + 39312*n**3 = 0?\nAnswer: -1092, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -4)*(-4)\/(-6). Calculate the remainder when ((-4)\/(-5))\/((-18)\/(-315)) is divided by (-14)\/z*-1 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nininnnnn. What is prob of sequence nin?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -906, -3542, -7946, -14118?\n\"Answer: -884*x**2 + 16*x - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/221, -2, 1\/5, 0.5 in decreasing order.\nAnswer: 0.5, 1\/5, 2\/221, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13 or 846433?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-11 + -3) - 2) + (-150 - -155).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l + 23. Let a(k) = -7*k + 44. Let c(f) = -2*a(f) + 5*d(f). List the prime factors of c(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 49.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 57, 112, 189?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -210\/13? (a) 5\/2 (b) 0.1 (c) 183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 576938979800 and -62?\nAnswer: 576938979862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - -138) + 5 - 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/2739828 and 61\/52?\nAnswer: 2739828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 399804468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53034078401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/63 + (-138)\/(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1748458*m + 565124*m + 2 + 2. Let g be l(6). Round g to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*n*p**3 - 286880937*n*p**2 + 2*p**4 + 1235988*p**3 wrt p.\nAnswer: -282*n + 48*p + 7415928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 179461.09207 from -0.1.\nAnswer: -179461.19207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3363 divided by 5.\nAnswer: -3363\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2711195700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -356*u**3 - 26*u**2 - 21*u + 9. Let s(h) = 89*h**3 + 6*h**2 + 5*h - 2. Give 9*s(z) + 2*t(z).\nAnswer: 89*z**3 + 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 710407267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*i - 20 = -4*i, -5*t + 68 = -2*i. Suppose 3*c - t = -4*b, 5*c - c - 35 = b. Is c < -1.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**(-4\/5)\/d)*d)**(-50)\/(d**(-8)\/d*d**(-2\/25)\/d))**16 assuming d is positive.\nAnswer: d**(-31968\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z + 6. Let i be s(-4). Let l be (-2)\/(-8) + i\/(-8). Let n = 3 + l. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g**2 + 4. Let m be 9259\/517 - (-1)\/11. Let a(l) = -6963*l - m*l**2 + 6963*l + 7. Calculate 4*a(k) - 7*w(k).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 9039\nAnswer: -4\/9039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 31*a + 5*a**2 - 10 - 18 + 21*a = 0. What is a?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 11) to base 6\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 72, 69, 64, 57?\n\"Answer: -d**2 + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.022 + 0.022. Let z = -6 + 7. Which is the nearest to z? (a) 2 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 10:08 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3626528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017493184945 to five decimal places.\nAnswer: 0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 15*c + 4. Let l(q) = 1. Let w(x) = -105*x - 25. Let d(a) = 2*l(a) - w(a). Let s(g) = -4*d(g) + 27*p(g). Let y(k) = 4*k**2. Determine s(y(z)).\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2535, 2492, 2443, 2388, 2327, 2260?\nAnswer: 2187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 8*u - 15. Let d be j(5). Suppose 0 = -3*p - v - 2, -4*p + 3*v - 12 - 8 = d. Let g(b) = -2*b**3 - 4*b**2 - 2*b + 1. Determine g(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i - 2. Suppose i*p = -j + 19, 0*j = 2*p + 3*j - 17. Is 5 a factor of (-1)\/1 - (-1 + p*-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.3 - -34.9. Let i = z - -2.4. Which is the closest to -4\/3? (a) -2\/7 (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105547 to the nearest one hundred.\nAnswer: -105500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 11853*o**2. Let a(n) = 9*n + 1. Let w(v) = 34*v + 4. Let r(f) = 4*a(f) - w(f). Give r(c(z)).\nAnswer: 23706*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8.3403 - -0.1\nAnswer: 8.4403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/2 + 4)\/(1\/(-5)). Let o(t) = -4*t**3 + 13*t**2 - 7*t + 9. Let y be o(x). What is the units digit of (-4)\/(-4 + (-798)\/y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1918, -2807, -4288, -6361, -9026?\nAnswer: -12283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(6*sqrt(49)\/sqrt(7) + 4 + sqrt(700)).\nAnswer: 7 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10000111011000101010110?\nAnswer: 10000111011000101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/432)\/(32\/(-624)*-13).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from samassasasasscsaas. What is prob of picking 1 c, 1 m, and 2 a?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 3*b + 0 + 0*b**2 + 1\/3*b**3. What is n(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(468)*-3 + 5 + sqrt(468)*-2 + 0 + -1 + sqrt(468) + 1)*1*-3)**2.\nAnswer: 1080*sqrt(13) + 17073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*i - 2 + (5 - 4 + 0)*(-2*i + 0*i + 4*i) + i + 4*i - 4*i + 2*i - i + 0*i)*(3 - 3 - 6).\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 9b6?\nAnswer: 9bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 527189 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-818)\/(-6) - 30\/(-45). Let s = -165 + q. List the prime factors of (-2 + (-52)\/16)*s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 7. Let m = q - -3. Let j be 100\/(-225) + 10\/18. Which is bigger: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -1801*2\/(-4))\/((-12)\/(-104)). Does 7811 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 + o - o)*(1 - 2 - 1) - 2 + 2 - o**2 + (-4*o - 8*o + 2*o)*(o + 1 - 1) - 2*o + 2*o + 2*o**2 to the form g*o + r*o**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 11*w**2 + 11*w + 9. Suppose -x - 2*v + 25 = 0, x + 125 = 6*x - 3*v. Suppose -5*s = -5*i + 75, 2*s = -s - i - x. What is g(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*x = 180, -16 = 3*y + 5*x - 111. Let g = 60 - y. What is the lowest common multiple of 12 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let z(r) = r**2 - 6*r - 6. Calculate the remainder when f is divided by z(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74299 or -1708890\/23?\nAnswer: -1708890\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*p + 59*p + 104*p + 77*p - 13*p + 48*p.\nAnswer: 224*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1671, 1028, 369, -306, -997, -1704?\n\"Answer: -8*q**2 - 619*q + 2298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Let k be (1 - 446)*(-7 + 96\/15). Let l(o) = 4*o**2 - 10*o + 1. Let d be l(-7). Let w(m) = d + 7*m - k + 5*m. Calculate w(x(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.234 - 3.194. Which is the second smallest value? (a) h (b) 1 (c) 82 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -1\/5, 1, -3\/5 in ascending order.\nAnswer: -3\/5, -1\/5, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3 = -7. Let x(h) = -2*h**2 + y*h**2 + 2*h**2. Let v(r) = -4*r**2 + 11*r**2 + 17*r**2. Calculate x(v(t)).\nAnswer: 1152*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000559022525 to 7 dps.\nAnswer: 0.000559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -5*c**3\/2 - 7*c**2\/2 - 2*c. Let d(h) = 145 - 75 + 4*h - 68. What is 22*d(z) + 6*n(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 375665+-7.3368\nAnswer: 375657.6632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5943, 23545, 52881, 93951, 146755, 211293, 287565?\nAnswer: 375571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 23. Let t be (36\/w)\/((-3)\/(-6)). Let d(v) = v**3 - 4*v**2 - 4*v + 5. Let g(r) = -3*r**3 + 9*r**2 + 9*r - 11. Calculate t*d(h) - 4*g(h).\nAnswer: 3*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, 207, 425, 643, 861, 1079?\n\"Answer: 218*o - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-292)\/12264)\/(2\/9).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116049471 to the nearest integer?\nAnswer: 10773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48 - -4?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -521664 by 78.\nAnswer: -6688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-30))\/(-17) - ((-2)\/24)\/((-1380)\/(-39376))\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/4)*p)**(-41))**50)**(-1\/4) assuming p is positive.\nAnswer: p**(3075\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c + 1. Let d(n) = 6*n. Let a be d(1). Let i(q) = -8*q + 1. Suppose -7 = 8*s - 7*s. Determine a*i(k) + s*p(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606537.\nAnswer: 1606537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4636 (b) 4\/7 (c) 5 (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 + 3)\/((-260)\/(-185)) and -77\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 + 9836*x**3 + 12083522*x**2 - 24196560*x + 12103200.\nAnswer: 2*(x - 1)**2*(x + 2460)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -24. Let x be (k - -2) + (-32)\/9. Suppose 8\/9*h**3 + 14\/9*h**5 - x + 32\/9*h**4 - 22\/9*h - 28\/9*h**2 = 0. Calculate h.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 2*t - 5. Let c be o(-5). Suppose j - 10 = 3*s, j - 12 = 5*s + 4. Solve -3*r = j - c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from {t: 7, v: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*g**5\/2 - 28790*g**4 - 50743255*g**3\/2 - 42167745*g**2 + 33803270*g + 33764900 = 0. What is g?\nAnswer: -2470, -1367, -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u - 93 = 35 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36635 (base 8) in base 15?\nAnswer: 4a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44441, -44322, -44133, -43868, -43521, -43086, -42557, -41928?\n\"Answer: p**3 + 29*p**2 + 25*p - 44496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8651 is divided by 1987.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -92*x**2*y**3 - 2*x**2*y**2 + 2*x**2*y + y**3 + y + 6930 wrt x?\nAnswer: -184*x*y**3 - 4*x*y**2 + 4*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5429\/6 - -902. Find the common denominator of z and 81\/142.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - (-54 + 51)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100111100100001010101110 (base 2) to base 3\nAnswer: 201111221101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-8)*42\/35*(-64)\/12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20135, 19844, 19553, 19262, 18971, 18680?\nAnswer: 18389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:06 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -183\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:12 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -18463295 at least -18463295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 22768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 92?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9833?\nAnswer: 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, h: 1, q: 1, b: 1, v: 2, o: 2}. What is prob of sequence hvpo?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -17 - (-4 + -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 8:37 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.14 - -0.24.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1836764920.\nAnswer: 2, 5, 1697, 27059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -16*g + 1. Let k(x) = 335*x + 37323. What is k(p(c))?\nAnswer: -5360*c + 37658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81257, 81252, 81235, 81200, 81141, 81052, 80927, 80760?\nAnswer: 80545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1830 + -1828. What is the biggest value in 2\/11, 0, -1\/75, z, -0.04?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 0*q - 2*q + 3 + 5*q**2 + 5*q**2 - q**3. Is 16 a factor of o(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.87 + 0.13. Let s = 4 - t. What is the nearest to -1 in s, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 8 = -4*q, 4*u - 2*q = -0*u + 16. Solve 4*o = 14 - u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9\/4, 0, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7012 - -8610. What is the remainder when z is divided by 94?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 4*l - 3. Let u be q(0). Let t(p) = -p**3 - 3*p**2 - 2*p. What is t(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (888\/(-3774))\/((-2)\/34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24238*n**6 + 4*n**2 + 6385?\nAnswer: -2908560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 1 + 34 - 6 - 7. Calculate the remainder when m(16) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - o + 151, 4*i - 3*o - 27 = 3*i. Is 42\/4*340\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 1\/5 (c) -0.1 (d) -9 (e) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 924050371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*u)*(10*u + 5*u + 24*u) to w + a*u + s*u**2 and give s.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 4\/3 (c) 37.9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -630\/13 + 1888\/39. Let r = 8\/13 - i. Calculate the common denominator of 40\/7 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12693, -12640, -12587, -12534?\n\"Answer: 53*m - 12746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -12*n - 40. Let m be x(-11). Suppose m = -4*l - 0*l. Are -23 and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 70. Calculate the greatest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 286\/6 - (-4)\/12. Suppose 6*s - 30 = s. What is the highest common divisor of t and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 6549.401?\nAnswer: -6549.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -29. Let r = 19.7 + y. Which is the closest to 0.3? (a) r (b) -3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23244915 to the power of 1\/2, to the nearest integer?\nAnswer: 4821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*j + 6*j = 26, -5*p = j + 15. Let g be (1\/3)\/(1\/p). Let n = 23204\/35 - 3312\/5. Which is the second smallest value? (a) g (b) n (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1106, 1110, 1114, 1118, 1122?\n\"Answer: 4*f + 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 218802 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2. Let o(n) be the third derivative of -n**4\/4 + 2*n**2. Give z(o(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 3. Let p = -1565 - -1570. Let x(q) = 2*q + 2. What is p*x(a) + 4*j(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -741 = 21*r + 25*r + 11*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.597952 millilitres?\nAnswer: 0.002597952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72 + 25 - 57)*(-16 - 16 + 20)*(-2 + 2*x + 2)*(-4 + 5 + 0 + (0 - 1 + 0)*(2 - 3 - 1) + 1 - 3 + 3) to the form y + g*x and give g.\nAnswer: 9984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*x**2 - 7*x - 31*x**2 - 6*x + 2*x.\nAnswer: 3*x**2 - 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**5 + 2 - 2)*(-1 + 5 - 3) - 69*m**5 + 44*m**3 - 32*m**5 - 42*m**3 + (2 + 2 - 7)*(5*m**5 - 6*m**5 + 4*m**5).\nAnswer: -109*m**5 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(18\/45))\/(65\/(-208)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31143*b**3*d**3 + b**3 - 2*b**2*d**4 + 3*b**2 - 18694*b wrt d.\nAnswer: -93429*b**3*d**2 - 8*b**2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 10, 9881*u - 9882*u - 22 = -3*t for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 150806 at most as big as 150806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 147*z**2 + 2. Suppose 9*b = 12*b + 9. Let r be v(b). Suppose -r = -15*l + 10*l. Is l 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 9610319?\nAnswer: 9610319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 15044712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1283378 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + 74*l**2 + 141*l + 28. Give z(-35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241375*a**2 - 120678*a**2 - 57*a**3 - 120695*a**2.\nAnswer: -57*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11\/w)**20*((w*(w**(-11)*w)\/w)\/w)**(-35) assuming w is positive.\nAnswer: w**585","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -128236 and 0.2348.\nAnswer: -30109.8128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1202 by 601.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1033 - -1) + (-130)\/(-13) + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 37\/5, 0, -24 in increasing order.\nAnswer: -24, -4, 0, 37\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14512023 (base 7) to base 14.\nAnswer: 27d54a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/5)*a*a**(-21))**8 assuming a is positive.\nAnswer: a**(-824\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584076504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13780 - -8131. Does 20 divide d\/(-84) - (-3)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -23*t. Let v(c) = 4*c. Let j be (-1 + -5)*1 - 0. Let l(q) = j*d(q) - 34*v(q). Let o(f) = -2*f. Calculate l(o(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -127, -163, -197, -229?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 + 4968*j**2\/7 + 4113504*j\/7 + 1135327104\/7.\nAnswer: 2*(j + 828)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b + 80 = -50*b + 106*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 89964.\nAnswer: 179928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*c - 49 + 6*c - 661 + 15*c as z + b*c and give z.\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16590759 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -755 + 749. Let g(a) = 4*a + 26. Calculate g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 1 (c) 6219 (d) 9 (e) 0.07 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -19. What is the least common multiple of 31 and h?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1234 - -5153?\nAnswer: 10431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -747, -737, -737, -753, -791, -857, -957, -1097?\nAnswer: -1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 222883327 to the power of 1\/2, to the nearest integer?\nAnswer: 14929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 114310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkki when four letters picked without replacement from skkki.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 805*f - 359.\nAnswer: 805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5662735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6681.642s?\nAnswer: 6681642000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**2. Let v(u) = -2357*u**2 + 4*u + 7. Determine v(x(i)).\nAnswer: -115493*i**4 - 28*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 32517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*f + 6 = 0, 2*n - 9*f - 4 = 38 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*o - o - 163, -o + 328 = -2*q. Let y = -149 - q. Solve -4*j = 2*f + 16, -5*f - 3*j + j - y = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*c + 93 = 3*c, -2*s = 4*c - 56. Suppose -5*y + s = 5*a, -a - 8 = a - 2*y. What is h in a + h**2 - 3*h + 2*h - h = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.4, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 919238.7 tonnes?\nAnswer: 919238700000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:34 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 17*s**2 + 48*s**2 + 4*s - 21*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - 2.11. Let w = 2.19 + i. Let u = w + 0.01. Put 1, 0.3, u in descending order.\nAnswer: 1, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*q + 164, 2*m - 76 = -2*q + 34. Suppose 0*j - m = -3*j. Suppose 2*f - j + 10 = 0. Solve -z = -i - 7, -2*i = f*z + z - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -70817043 and 63.3085.\nAnswer: -70816979.6915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 28*y + 31*y + 1 - 5 to the form q + n*y and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 c, and 1 q when four letters picked without replacement from qqqoqoqcqqqcoorq.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130966, -130968, -130970, -130972, -130974, -130976?\n\"Answer: -2*k - 130964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 b, and 2 e when four letters picked without replacement from tbebbeeeeebbbebbe?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 47. Let q(t) = -2*t - 96. Let z(w) = w + 30. Let g(r) = 5*q(r) + 16*z(r). Determine g(v(y)).\nAnswer: 12*y + 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186571 - 197743 = -196*t for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55374\/6712*8\/3201?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 567194*v + 30. Let f be b(5). Suppose 0 = -4*u + x - f, u + 2*x + 709000 = 7*x. Round u to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 39*m**5\/20 + m**4\/24 - m**3\/6 - 16*m**2. What is the units digit of h(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 4 = 7*c. Solve -4*j - c*b = 0, -3*b + 12 - 2 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-1156)\/(-85) + -8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20514 + 40899 = 650*y - 19656 - 21059 for y.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -x + 813, 0 = 4*a + 43 - 19. What is the remainder when x is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (22 + (13 + 19 - 11))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 2740*c - 847594. Calculate t(260).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -146 (b) 4 (c) -5 (d) 5 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -23 + -4 + (36 - 80)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*k + 29*k - 61*k to y + a*k and give a.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {t: 1, m: 2, s: 1, i: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -93 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 1. Let g(f) = -11*f**2 + 18. Let b(n) = 4*g(n) - 4*y(n). Differentiate b(z) with respect to z.\nAnswer: -80*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191 + -77. Suppose 5*x = -2*d + u, 3*d + 46 = 5*x - 83. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5440*q**2 - 16*q*u**2 - 16154*u**2 - 2*u + 3 with respect to q.\nAnswer: -10880*q - 16*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 divided by 23?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r + 16\/5 - 4\/5*r**2.\nAnswer: -2*(r - 8)*(2*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 33335*t + 1 - 16664*t - 16681*t. Let m(n) = n. Calculate -44*m(q) - 4*w(q).\nAnswer: -4*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.0186 and -1.\nAnswer: 15.0186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d. Let y(t) = -69*t**2. What is y(a(x))?\nAnswer: -621*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/111126 and 107\/6?\nAnswer: 111126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121\/18 + 13\/2. Let z = -74\/1397 + -1101\/5588. What is the closest to z in 0.1, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*i**2 - i**4 + 337*i - 21*i**2 - 326*i + 3*i**3 to the form x*i**3 + r + h*i**2 + g*i + z*i**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1518 + 2768 + o - 220*o**3 - 1236 to the form i*o**2 + g*o + l*o**3 + d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 + -0.547.\nAnswer: 86.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 - d**2 - d. Let m be f(-1). Let y(w) = w**3 - 8*w**2 - 8. Let x(g) = 2*g**3 - 12*g**2 - 12. Let i(c) = -5*x(c) + 8*y(c). Give i(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5\/(-5))\/((-2)\/94)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/(-24)*(-4)\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 26*j**2 - 5*j - 14. Let f be b(-2). Let u = f - 88. Suppose 3*h = 8*h + 2*s - 36, -4*s = -u. Solve w - h = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6587.88148 rounded to the nearest integer?\nAnswer: -6588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/(-200))\/(2\/15)*(-264)\/36?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 101 and 7816.\nAnswer: 7917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/98)\/(-8 - 8930\/(-1120)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9071 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 10 + 36 = -j, -46*g - 25*g + 76*g - 4*j + 4 = 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1904, -2970, -4020, -5048, -6048, -7014?\n\"Answer: g**3 + 2*g**2 - 1079*g - 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 j when three letters picked without replacement from {n: 4, j: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -41. Solve 3*b = 3*m + 7*b, -3*m - y = 2*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4828380*h**4 + 5828452*h**2.\nAnswer: 115881120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -206059, 0.2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-2)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, f: 1, e: 2}. Give prob of picking 1 g, 1 e, and 1 f.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -203*q**2*z**2 - 6*q*z**2 - z**2 wrt q?\nAnswer: -406*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27 + ((-15840)\/(-30))\/(-24). Suppose k = -2 + 6. Which is the fourth biggest value? (a) 41 (b) 0.3 (c) f (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 0*w + 0 - 1\/20*w**5 - 1\/20*w**6 + 0*w**4 - 30*w**2 - 1\/70*w**7 + 0*w**3. Factor f(c).\nAnswer: -3*c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 391003?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 2:04 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 268*u**2 + 2 + 168*u**2 + 4.\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/30)*w*w*w**(-5\/8)*w*w assuming w is positive.\nAnswer: w**(409\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8944 (base 14) to base 5.\nAnswer: 1230101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okppfoqrkorpfo. What is prob of picking 1 k, 1 r, and 1 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*l**3 + 6*l**4 - 4*l**4 + 2 + 1 - 2 - 11*l**3 as u*l**3 + s*l**4 + q*l**2 + x*l + d and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*m = 246, -3*m = -5*x + 10*x - 615. Solve 71 = -26*z + x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 2*k**2 - 3*k**2 + (k - 4*k - 2*k + (k - 2*k - k)*(-3 + 2 + 0) - 2 + 2 + k + 5*k - 3*k - k)*(-5*k - 3*k + 4*k))*(6*k + 20*k - 8*k).\nAnswer: 54*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4480\/(-1536)*(-10*1\/(-25))\/(1\/(-10))?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058 (base 9) in base 11?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -71, -149, -289, -509?\n\"Answer: -3*f**3 - 4*f**2 - f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/7 + 30*x**3\/7 + 108*x**2\/7 + 162*x\/7 + 81\/7.\nAnswer: 3*(x + 1)*(x + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, i: 1, l: 1, n: 1, z: 2, g: 1}. Give prob of sequence ninz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t + 96 = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -11, 1 in increasing order.\nAnswer: -11, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 1 + 1)*(-3*u**2 + 3*u**3 + 3*u**2 - 2*u**3 - 2*u + 2*u + (-1 - 4 + 3)*(-u**2 + u**2 + u**3)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*d - 18, 0 = 3*s + 3*d + 13*d - 41. Solve 23*v - 60 = s*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-250883)\/(-9))\/(780\/(-45)). Let u = -4823\/3 - c. Calculate the common denominator of u and 29\/28.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.80408061 rounded to 4 decimal places?\nAnswer: 3.8041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -17. Suppose 12 = -4*m, -g*x - 3*x = -5*m - 350. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**2 - 53284060*x + 141959552504180 = 0.\nAnswer: 5328406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.036 + -0.036. Let o = r - 25. What is the closest to 1 in -0.2, o, -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*r = -r + 54, -2*t + 5*r = -43. Suppose 3*j + 2*j + 143 = 3*x, -4*x + j = -219. Calculate the highest common divisor of x and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34.2 + -34.608. Let m = 0.208 + l. Sort -4\/9, 3, -3\/4, m in ascending order.\nAnswer: -3\/4, -4\/9, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(55) + sqrt(55) + -1*sqrt(55))\/sqrt(5))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) -5 (c) 3\/8 (d) -1019\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**2 + 4*a - 6. Let h be i(-5). Let v = h - -21. Solve -5*j = 3*t + v, -j + 9 = -4*j - 3*t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -44*d - 486. Give z(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1511, -1456, -1401, -1346, -1291?\n\"Answer: 55*i - 1566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(-1*sqrt(12) - sqrt(12)) + sqrt(125)*-1 - sqrt(15)\/(sqrt(12)*6))**2 + (-4 + (sqrt(140)\/(sqrt(8)\/sqrt(2)))\/(sqrt(14)\/sqrt(18)))**2.\nAnswer: -24*sqrt(5) + 31229\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -49372 divided by -6\nAnswer: 24686\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*f + 47507 = 48749 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-56))\/((-1)\/(-126)*2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3345*k**2 - 21*k - 4. Let x(h) = 10033*h**2 + 56*h + 11. Calculate -8*p(g) - 3*x(g).\nAnswer: -3339*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(1\/15))*h\/h**3)**37)**(22\/5) assuming h is positive.\nAnswer: h**(-25234\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090 is divided by 46?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 1720.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 x when four letters picked without replacement from igqqxxuixxqxi.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvwjmwwvvyv. What is prob of picking 1 w and 1 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27624629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - 33 - ((2 - -1) + 15)) + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/136 and -149\/306?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 200 = -2*y + 4421, -5*y + 10546 = 4*t. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 40*c**3 - 100*c**2.\nAnswer: 5*c**2*(c - 10)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -215 - -211. What is the remainder when 71 is divided by z\/6 + 202\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -267, -40, -0.18, -5, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 45*x - 54 + x**2 + 3*x)*(1 - 2*x**2 - 1).\nAnswer: -2*x**4 - 96*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 12:22 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 1241151?\nAnswer: -1241140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -263*y**4*z**2 + 397612*y**2*z**2 + 316*y*z**2 - 20*y*z + 871*z**2 wrt y.\nAnswer: -3156*y**2*z**2 + 795224*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*1317\/15804.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 323\/19 + 2*(-2 - 0). Suppose 3*y - 55 = -2*y. Solve -m*g = -y*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27632 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 3. Suppose -d*a - a + 42 = 0. Solve -2*y - 1 = a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let y be h(-2). Suppose i - 2*m - 2 = 0, 7*m = -i + 2*m + y. Let w be i\/((-3)\/3 - -3). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11236455, 11236408, 11236361, 11236314?\nAnswer: 11236267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 661191 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: Sort 1391.5, 0.05, 2.\nAnswer: 0.05, 2, 1391.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -12 + 16 + 2 + -6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + 1 + sqrt(704) + 1 + sqrt(110)\/(sqrt(110)\/sqrt(275)).\nAnswer: 2 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + -3. Let z be x - (24\/4 - 4). Is -17 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55*3\/165*4\/62.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4\/11 - 17*k**3\/11 + 93*k**2\/11 - 175*k\/11 + 98\/11 = 0?\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82641113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -551, -558, -565, -572, -579?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -73130 to the nearest 1000.\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 7*y**4 + 2 - 2*y - y + y as k*y**2 + t*y**3 + v*y + b + h*y**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.3 (b) 3 (c) -4 (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19\/3 - 17\/3. Let f(r) = -4*r**2 - 18*r + 8. Let o be f(-5). What is the second biggest value in 3, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-96)\/18 - -5 - (-28)\/(-6). Let s be 8\/(-100)*p + 12\/(-30). Solve -4*f + k - 22 = s, -2*f = -2*k + 9 + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v - x = 2, -3*x = v + 6. Let q(m) = -m**2 - 2*m + 4. Let s be q(v). Suppose w = -1, 5*w = s*t - 406 + 113. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -497\/3 at most -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27547\/65 - (-4)\/(-5). Suppose n = -2*l + 11*l. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*g - 0*g - 4*f - 383, 119 = 3*g - 4*f for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1157*i + 2*g = -1153*i + 10, 5*i = g - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccwwwcc. What is prob of sequence cw?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 2, -q - 14 = -2*s - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240038072 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwspppwpwwswswsws. Give prob of picking 1 w and 3 s.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -17. Sort s, -3, 2 in decreasing order.\nAnswer: 2, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2992, 6343, 10032, 14053, 18400?\nAnswer: 23067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 3*j + 9, -2*y = 3*y + 5*j - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -35*r**2 + 10*r - 6. Let b(v) = -2*v**2 - 1. Let q(o) = -15*b(o) + 3*f(o). Factor q(j).\nAnswer: -3*(5*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3390 + -3390. Which is the closest to 1\/6? (a) 19 (b) -4 (c) r (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/56 and -127\/965538.\nAnswer: 3862152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 - 3*u**4 + 3 + 6 - u to the form o*u**4 + f + a*u + h*u**3 + z*u**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/9 and (1 - (-87)\/(-97))*108\/(-24).\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 1229112.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*j**2 + 5 + 8*j - j**2 + 0*j**2 - 4*j + 9*j**2.\nAnswer: -(j - 5)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3229197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2738 is divided by 64?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 1, 9, -5 in ascending order.\nAnswer: -5, -4, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745293513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1832055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1009, -3, 8, -62, 4, 2.\nAnswer: -62, -3, 2, 4, 5, 8, 1009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*356\/(-890).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2918436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and -0.0283319.\nAnswer: 7.9716681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 137 + 11)*(-l + l + l**2) + 10*l**2 + 3 - 3.\nAnswer: 214*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6186\/277 or -22?\nAnswer: -6186\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 0*c - 3*c)*(9 - 16 + 4)*(-783 - 21*c + 783)*(2*c**2 + 2*c**2 - 2*c**2) to the form n*c**3 + a + q*c**2 + b*c + x*c**4 and give x.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5119608?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r - 384121 + 26*r + 384118.\nAnswer: 7*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2621 - 501*p**3 + 3414*p**3 + 2621.\nAnswer: 2913*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 32*k - 1. Let h(r) = r**2 + r + 1. Suppose 11 - 11 = 45*j - 45. Give j*h(o) - u(o).\nAnswer: -o**2 + 33*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 1. Let x(j) = -4*j + 36. Suppose 0 = -3*i + 8*f - 9*f + 35, 25 = 5*i - 5*f. Let t be x(i). What is c(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Suppose 33 = -w*p + 168. Suppose -4*m + p = m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.2, -3, -26?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 + 1 + (2 + 0 - 1)*(-3 + 5 + 0) - 3 + 1 + 3)*(-229 + 0*b**2 + 39*b + b**2 + 228) to the form h + t*b**2 + d*b and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -938*q**3*z**2 + 97*q**3*z + 4*q**3 + 523010508*q**2*z**2 + z**2 wrt q?\nAnswer: -5628*z**2 + 582*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5942393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c9c31 (base 15) in base 10?\nAnswer: 2159371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 882015\/(-254)*(-8)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-18))\/(18\/(-8)). Let v(a) = 2*a + 4 - a**2 + 25*a**3 - 5 - 24*a**3. Let k be v(1). Does k = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -0.05.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1. Let x(n) = 166*n**2 - 3*n**3 - 2 - 167*n**2 + 7 + 2*n**3. Determine 5*w(k) + x(k).\nAnswer: -k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1582 and -26?\nAnswer: 4.1132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - p - 7. Let w be g(0). Suppose -13*q + 19*q - 12 = 0. Sort -5, w, q.\nAnswer: w, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-34 - -82)) + 36?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 18. Let d be w(0). Let x = d + 18. Suppose x = -f + 4*f. Solve -5*v + f*v - 25 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -410 + 1001. Let j = -378 + t. List the prime factors of j.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69130*a*q**3 - 14*a*q**2 + 40*a*q - 57*a - q**3 + 225*q + 4 wrt q?\nAnswer: 414780*a*q - 28*a - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 12*t**4 + 35*t + 1. Let c(f) = 2*f. Calculate r(c(v)).\nAnswer: 576*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197964997.9999316 - 197964929. Let v = -69 + b. Round v to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(27\/4))\/(48\/(-216))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 80*u + 6882. Give t(-46).\nAnswer: 3202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 - 78. Suppose 5*b = 5*g + 10, 4*g = -b - b - 8. Suppose b = k*n + y - 121 - 46, 83 = 2*n - 5*y. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 657 and 3763077?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*i + 594, -3*d - i + 101 = -490. Suppose 4*u = 2*b - d, 8*b + 5*u = 5*b + 349. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 109768.49 rounded to the nearest 100?\nAnswer: 109800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 8*l + 4. Calculate the remainder when -17*((-2)\/(-4) + 45\/(-18)) is divided by a(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 12:50 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 216 - 72. Suppose -b*d - 22 - 14 = 0. Put -3, 4, d, 5 in decreasing order.\nAnswer: 5, 4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50560.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 - 3*i**2 - 3*i**2 - 2*i**3)*(i - 2*i - i).\nAnswer: -6*i**4 + 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - y + 0*y)*(86 + 40 - 26)*(-16 - 15 + 11) in the form d + s*y and give s.\nAnswer: -2000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*r - 5, 5*r + 15 + 0 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**2 + 0*s**2 + 3*s**2)*(4 - 1 - 2) + 4*s**2 + 47*s**2 - 19*s**2 in the form f + x*s**2 + a*s and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*x. Suppose q = -2*c - 3*c + 18, q + 4*c - 15 = x. Suppose 3*z = q*u - 8*u + 10, -5*u + 10 = -5*z. Solve 0*k - 4*k + 20 = z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (64\/20)\/((-4)\/(80\/(-4))). Let k(a) = 3*a - 10. Let g be k(d). Calculate the highest common divisor of 304 and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 678\/18 - 8\/(-6). Let m be ((-4)\/3)\/((-13)\/r). Suppose -x + 0 = -m. What is the highest common factor of x and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 4:41 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 18 - 64. Let h = 246 - 234. Calculate the remainder when r is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**4\/4 - 7*t**3\/3 + 9*t**2\/2 - 3*t + 1. Let g be o(6). Solve 2*u - g = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 134 = 79 + 4. What is the least common multiple of h and 9?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1429.87 (b) -0.1 (c) -8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*z - 38 + 3*z + 28 + 3*z**4 with respect to z.\nAnswer: 12*z**3 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.0608 rounded to 0 dps?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 0, -2 in increasing order.\nAnswer: -2, 0, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Let y(n) = -904*n - 7229. Let t be y(-8). Let d = 4 - 6. What is the nearest to d in m, t, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 237 divided by -79\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 6.5. Let w = -30.5 + z. What is the closest to -0.1 in w, 3, -76?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307855 to the power of 1\/2, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/72*27\/(-15)*(-5)\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3, 5*r + 7 + 21 = q. What is the remainder when 33 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2 + 599210*f - 17952631205 = 0. Calculate f.\nAnswer: 59921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 2. Let g be j(2). Let v be 1\/g + (-290)\/8. Let b = v - -63. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 30 = -2*a, -3*a + 19 + 16 = 4*r. Suppose i + 16 = -2*u, -2*i + a*i = -u - 23. Let o = 14 + i. 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 144*a**2\/5 - 15636963*a\/5 + 65154 = 0. What is a?\nAnswer: 1\/48, 108590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-3 - -3) + 3. Suppose 332*n - 659*n = -325*n. Solve n = -2*q + 2*d + 8, -q - l*d + 0 = -1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 962022 and 10927.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2075*c**3 + 3*c**2 - 164*c - 337. List the prime factors of l(-2).\nAnswer: 16603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298382970?\nAnswer: 2, 3, 5, 9946099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let c be 4 + r*(-1 - -2). Let u be (-1 - -1)*(-7)\/(-14). Solve w = 4*v + 13 + 12, u = c*w - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2875 and 9729.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2024132 by 4.\nAnswer: -506033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 840 and 20.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from myllmmdlmvlmm. What is prob of picking 1 y and 3 l?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 4*m**2 - 7*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**3 + 406540*g**2 + 813092*g + 406548 = 0.\nAnswer: -1, 101637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 10. Calculate the highest common factor of x and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3779.\nAnswer: 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010806854 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 583 - 561. What is the smallest common multiple of r and 7?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3564)\/(-297))\/(-67 + 1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -27 + 123. Let f(t) = -t**3 - 21*t**2 - t - 5. Let v be f(-21). Calculate the highest common divisor of s and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 7*z - 9. Let g be a(-6). Let q = 5 + g. List the prime factors of ((-8)\/(-10))\/(q\/15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2352, 1290, 242, -786, -1788, -2758, -3690, -4578?\nAnswer: -5416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 2. Suppose -3*o - 2*q + 74 = -o, l*o - 3*q = 81. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19a75 (base 16) to base 3\nAnswer: -12100010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - d**2 - 2*d)*(0 + 0 + 3) + 95*d - 95*d - 17*d**2 + 36*d - d - 33*d - 53*d**2 to the form k*d + r + u*d**2 and give u.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from ccccxxccccxccc.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81461 is divided by 18849.\nAnswer: 6065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 2*y + 3)*(-1 + 1 + 1) - 5*y - y + 16*y - 3 - 2*y + 3)*(-y**2 + 7*y**2 + 5*y**2) in the form x*y**3 + o + q*y + a*y**2 and give x.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**4\/4 - 2*d**3\/3 + 5*d**2\/2 + 1. What is the remainder when (-50)\/(-2) - 4\/(32\/24) is divided by p(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.674368 times 4\nAnswer: -2.697472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 857401, 857433, 857465, 857497?\n\"Answer: 32*w + 857369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3003630310 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**23)\/(z**(10\/7)\/z)*(z\/z**(-6))**28 assuming z is positive.\nAnswer: z**(1215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = 9748 + 25268. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-6 - (-12 + 6 + -2) - -3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, o: 14}. Give prob of picking 1 s and 1 o.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*q, 4*v - 16 = q + 3*q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60501*z**3 - z**2 - 47794?\nAnswer: 363006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9634 + 2858 = 576*w + 3276 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 - (-18 - -18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.08 (b) -2\/71 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 892157928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4341 - -2770. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -27.994. Round m to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88432.35cm in kilometers?\nAnswer: 0.8843235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = w - 4*w, -4*k + 62 = 5*w. Suppose -4*i = -k - 66. What is the greatest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 20*v + 0 - 5*v - 2.\nAnswer: 15*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 19\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 181?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32470326 is divided by 788?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/12198065 and -25\/99887?\nAnswer: 719685835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/9))\/((r\/r**4)\/r)*r**9*r\/r**(2\/7))**(-1) assuming r is positive.\nAnswer: r**(-913\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.6 + 8. Let w = r + -1.2. Let q = 0.1 + -0.3. What is the closest to w in -4, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -837706, -837876, -838046, -838216, -838386, -838556?\nAnswer: -838726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 2559\/956281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from zzyfyfczfczfzyuf.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 0 - (1 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 571 + -520. Solve -10*b - 31 = -k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = -8 + 43 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 5:14 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)*x)**(1\/10)\/(x*x*x**1)**(2\/17)*((x*x*x**(-2\/11)*x)\/(x*x\/x**(1\/2)*x*x*x*x))\/(x**(-1\/2)*(x**(1\/12)*x)\/x) assuming x is positive.\nAnswer: x**(-139021\/56100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56048 divided by -562.\nAnswer: -28024\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -819 + 2340. Is t a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1747484921 - -16.9?\nAnswer: -1747484904.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39\/5 + -229\/30. Let v = -8\/3 - -3. Which is the smallest value? (a) 0.2 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72146 times 0.4?\nAnswer: -28858.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -972*g - 738*g - 6 + 82*g - g - 4 + 4 + (3 - 3 + g)*(0 + 1 - 3) to the form m*g + b and give m.\nAnswer: -1631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*q - 170*q = -85*q - 13*k + 78, 3*q + 3*k = 30 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -3. Let g(c) = c**2 + c - 2. Let u be g(v). List the prime factors of 0 + -2 + (u - -41).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*7\/(-196) - 57\/(-7). Let z be ((-290)\/36 + s)*-2. Factor -2\/9*q - 1\/9*q**4 + z + 2\/9*q**3 + 0*q**2.\nAnswer: -(q - 1)**3*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 3*t**6\/5 - 9*t**2 - t. Find the first derivative of p(y) wrt y.\nAnswer: 72*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*w + 9. Let m(s) = -2*s**2 - 2*s**w + 5*s**2. Let j(k) be the second derivative of -5*k**3\/2 - 2*k. Give m(j(v)).\nAnswer: 225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 70 - 2*p**2 - 34 + 2341*p - 2341*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1249 - 41333?\nAnswer: -40084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, -1\/5, 6\/23?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -341, -454, -623, -854, -1153, -1526, -1979?\nAnswer: -2518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-20))\/((-22)\/(-10)). Let f be -4 + (10\/2 - 4). Let u be (1\/f)\/(-17 - -21). What is the smallest value in j, u, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = -4*a + 3*m, -4*m + 202 = -4*a - 114. Let v = 80 + a. Let i be 8\/54*-3*3\/v. Do 98 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183603616 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32, 4.\nAnswer: -32, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952792.\nAnswer: 2, 23, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)*-1 - sqrt(297))\/sqrt(9))\/((sqrt(132) + sqrt(132)*-2)\/sqrt(12)) + (4*(sqrt(3)*3)**2 - -5*sqrt(192)).\nAnswer: 42*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 2*w - 5*w + (5 - 1 - 3)*(6*w + 0*w - 4*w) + 0*w + 0*w + w + 4*w - 2*w - w)*(1 + 0 + 1) in the form f*w + g and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wecxxxwmxx. What is prob of sequence ewc?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 1:56 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.642 and -0.2.\nAnswer: 0.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.704 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 6 - 43 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93598372099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152721 by 4.\nAnswer: -152721\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200220221 (base 3) in base 10?\nAnswer: -53161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 39*p + 3809 = 158*p, 3*h + 6*p - 196 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*18\/21)\/((-2)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 21. Let d = b + -18. Solve 4*s - s = -d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 165040422, 330080848, 495121274, 660161700, 825202126?\n\"Answer: 165040426*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 339*q**2 + 68*q - 4. Let p(s) = 789*s**2 + 159*s - 9. What is -16*j(o) + 7*p(o)?\nAnswer: 99*o**2 + 25*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/2 (b) -3 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3425\/12 - -1143\/4. What is the biggest value in 2\/27, -3, u, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3517534749.\nAnswer: 3, 109, 419, 25673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 2:08 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 32616 - 3*x**2 + 2*x - x**4 + 2*x**4 - 32618 to w*x + u*x**2 + b*x**3 + v*x**4 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 9*x - 63. Let i(b) = 2*b. Calculate g(j) - 5*i(j).\nAnswer: -j - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 210*h**3 - 713*h**2?\nAnswer: 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4*q - 5)*(-q - q + 0*q + (0 + 1 + 0)*(q + 0*q + 0*q) - 5*q + 3*q - q + 0*q - 6*q + 4*q) to z + x*q**2 + k*q and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19\/16 - 71\/16. Which is smaller: -5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(456) + 3*sqrt(456))\/sqrt(12))\/sqrt(2) - (sqrt(1900) + -2)*4).\nAnswer: -8 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*t - 71*t - 864 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 2*r - 2. Suppose 0 = 2*g + 5*j - 15, -4*j + 0 = 2*g - 16. Calculate the least common multiple of g and l(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0 + 5 - 2*i**2 - 5*i - 1. Let v(a) = a - 13. Let y be v(9). Calculate u(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.107 - -0.107. Let n = 0.1 + -1.1. Let v = n - -1.2. What is the closest to d in 1\/2, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 2. Let l be 1 + b - (-5 + -3). Let z = l - 3. Solve -2 = -0*a + z*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**3\/2 - d**2\/2 + d. Let v be -9 + 20 + (0 - 3). Let p(m) = -m**2 + 66. Let b be p(v). Give j(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167751 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 55516\nAnswer: -55515.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5945 (base 10) to base 4\nAnswer: -1130321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 7:21 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27759, 28089, 28437, 28803, 29187, 29589, 30009?\nAnswer: 30447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(72) - (sqrt(72)*4)**2)*-4 - (3 + sqrt(72))*4) + 2).\nAnswer: -4598 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-1)\/2*-2. List the prime factors of 1\/(n - 18\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1100) - (-4*(sqrt(1100) + 5))**2).\nAnswer: 7950*sqrt(11) + 90000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27909 is divided by 139.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 68*u**2 + 1176*u - 2592.\nAnswer: -4*(u - 27)*(u - 2)*(u + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 14 - 1 + g + 24. Does 4 divide k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11297581 divided by -2.\nAnswer: -11297581\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18757270?\nAnswer: 2, 5, 7, 267961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 531 divided by 411\nAnswer: 177\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 39*p**4\/4 - 2*p + 90. Let j(v) = -3*v**2. Determine o(j(i)).\nAnswer: 1053*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157.853 + -158. Let d = f + 0.1469882. What is d rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -11*s - 2 + 18 + 121*s**2 + 21*s**2. Is c(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 + 141. Suppose 2*s - 106 = 4*b, 2*b - 76 = s - 3*s. Let p = f - s. Solve p*z - 9 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/16)\/(m\/(m*m**(2\/15)\/m)) assuming m is positive.\nAnswer: m**(-223\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + (55 - 34))\/(1\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 172*185*2\/40. Suppose 0 = -2*i + i + 2*z + 37, 4*i + 4*z = 148. Calculate the greatest common factor of i and j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - -7 - (1 + 4). Let m = -226 + 228. Let p(r) = -20 - r**m + 19 - 6*r + r. Calculate p(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8180 or -2529?\nAnswer: -2529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 305.898 litres?\nAnswer: 305898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 10:58 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -1, 4, 3, 94, -5, 1 in decreasing order.\nAnswer: 94, 46, 4, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 264 + 30 = 0. Suppose l - 5*w = -w + d, l + w = 46. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9c (base 13) to base 9\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * -186.\nAnswer: -5580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 12:35 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*u = 4*u - 21, 3*j - 2*u - 7 = 0. Suppose 3*n - j*n = 2*y, 4*y - 32 = 4*n. Solve -i = -y*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*v + 17*v - 3*s + 19, -4*s = -20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 1:30 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 14665*f - 12. Let a be k(4). Suppose 2*n - 6*n = -a. Suppose 5*s = -197 + n. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 19 + 19)*(g + 3*g - 2*g) + (3*g + 0 + 0)*(2*g + 4*g - 4*g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*f + 11 = 3*p, 0 = 3*p + 5*f - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 = -5*w, w + 0*w + 12 = 5*o. Let b = 48 + o. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**16*((((z*((z\/z**(3\/26)*z*z*z*z)\/z)\/z*z)\/z)\/z*z)\/z*z)\/z)\/((((z\/z**0)\/z)\/z)\/(z*z**(-17)*z)) assuming z is positive.\nAnswer: z**(127\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 11 + 3 + 8 + 4*i**2 - 23. Let k(w) = -5*w**2. Give k(x(j)).\nAnswer: -125*j**4 + 50*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sifssfssfsixx. Give prob of picking 2 x.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(225)\/(sqrt(10)\/sqrt(2)) - sqrt(45))\/(sqrt(108)\/sqrt(108)) + (-2 + -1 + sqrt(245) - (-6*(sqrt(245)*1)**2 + sqrt(245))).\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -1)\/(-2)*(-1890)\/(-162). What is the second derivative of -m*f**3 + 4*f + 13*f + f - 3*f wrt f?\nAnswer: -210*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915643 is divided by 3052.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 2*s = t + 62, -s - 18 = -t. Calculate the greatest common divisor of t and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*k - 5, 3*u + 2*k + 4 = 4*u. Let p(g) = -g**3 + 4*g**2 - g + 1. Calculate the least common multiple of p(u) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*p - 2*p**2 - 39*p - 1863 + 5585 to w + l*p**2 + m*p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 + 18*x + 20. Let m be h(9). Let b = m - -359. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5302112*j**3 - 5302156*j**3 + 10604363*j**3.\nAnswer: 95*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10*o**2 + 4*o + 3. Let l(i) = 58*i**2 + 23*i + 19. Give -6*l(h) + 34*u(h).\nAnswer: -8*h**2 - 2*h - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-2\/7)*r)\/r*r)**(-42)\/(r*r**2*r*(r\/(r**6\/r))\/r))**(1\/7))**50 assuming r is positive.\nAnswer: r**(-1450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*i + 15 = 0, 6*i - 4*i = -2*r + 10. Suppose 2 = -4*x + 3*b + 7, 15 = r*x + 5*b. Solve x*t = -0*t - 4*d + 26, -4*d = -2*t - 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 675*g**2 + 24530*g - 199200.\nAnswer: -5*(g - 16)*(g - 15)*(g + 166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -49216 divided by 2?\nAnswer: -24608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008995 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:23 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3009 + 6859. What is o rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 930.9094 - -230.0816. Let b = -1160 + x. Let f = b - 0.79. Round f to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5 = l, r - 2*l = 2*l + 20. Solve -j - 2*j - w - 4 = r, -4*j + 2*w + 8 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let i(c) = 552788814*c. What is t(i(w))?\nAnswer: -552788814*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-14 - 0 - (25 - 44)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**3 + 59*l**2 + 36*l - 38. Let i be j(-19). Solve -7*n + 22*n + 15 = i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/(r*r*r**0\/r*r))\/(r**6\/r**(1\/3)) assuming r is positive.\nAnswer: r**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 5*u - 5*u)*(2 - 2 - 3).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788532 is divided by 224.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -61, 5, -3, 1, 3 in descending order.\nAnswer: 5, 3, 1, -3, -9, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**3 + 2*h**2 + 3*h. Let b(k) = k**3 - k**2 - k. What is -a(y) - 4*b(y)?\nAnswer: -10*y**3 + 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49480 is divided by 1367?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.5. Suppose 12 = 2*t + 4*h, 4*t - h = 3*h. Let r be (3 - t)*(-2)\/4. Which is the second smallest value? (a) l (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.4992643 - -2182.\nAnswer: 2165.5007357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/81054 and 5\/213.\nAnswer: 5754834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a - 16. Let w = -3 + a. Solve -3*q - 5 = w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i**3 + 7*i**2 + 4*i - 1. Calculate g(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530*u - 88 = -519*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -388*j + 393*j - 12, -3*v - 2*j = 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3\/2 (b) -1 (c) 1\/33 (d) 0.2864 (e) 1\/5 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 958563020 to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 12 = 0, -2*g = -5*w + g + 307. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 71*t**2. Let c(l) = -2*l**2. Determine o(c(h)).\nAnswer: 284*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2145975279.\nAnswer: 3, 7, 23, 31, 331, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20652066?\nAnswer: 2, 3, 191, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3*m - 100 - 0, -2*m = 2*n - 44. Calculate the remainder when 845 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**4*u + b**3*u + b**3 + 5*b**2 - 3*b*u - 10*b - 10*u wrt b.\nAnswer: 84*b**2*u + 6*b*u + 6*b + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2184*w + 111. Suppose -5*r - 91 = -131. Is k(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146438772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -272.2?\nAnswer: -1088.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30402941\/36 - 844607. Let f = a + 343\/4. Calculate the common denominator of f and 56\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -184. Suppose 61*d - 91*d = -12210. What is the highest common divisor of d and p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from gggvvvgpgvpvpggg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 158\/(-2) + (-6)\/(-2). Let p = l - -120. Suppose o = 3*o - p. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/2 and -36\/46231?\nAnswer: 92462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -352 (b) 9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d**2. Let g(t) = -t**2 - 5310. What is g(c(q))?\nAnswer: -121*q**4 - 5310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 + -39. Does 27 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.14 (b) -4 (c) -1 (d) -9\/4 (e) -181\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = -3*c - 52181 - 60487. What are the prime factors of c?\nAnswer: 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-8*24\/(-1792))\/((-1)\/4)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40878, 40700, 40522, 40344?\nAnswer: 40166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -10 + -6 - (6 + 2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4077.1762 rounded to the nearest one hundred?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -40*q - 120 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*r**5 + 23796*r**4 - 23796*r**4)*(3 + 4 - 5 + (-2 + 3 + 1)*(4 - 2 - 1) + 4 - 4 - 2 + 2 - 2 - 1).\nAnswer: 47*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5872*t**3 + 8*t**2 + 13*t - 6. What is the thousands digit of y(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and (-5)\/20 - ((-3485)\/20 - 3).\nAnswer: 12036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44071\/18 - -2450. Let s = -8\/9 - i. Let d be ((-315)\/(-14))\/(-5)*(-2)\/(-3). Which is bigger: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50004.4 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 681, -3, -4 in descending order.\nAnswer: 681, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5888 and 24380092.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 4. Let x(k) = 1. What is 30*x(g) - 6*z(g)?\nAnswer: 6*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {r: 2, h: 4, o: 9, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 665*a**3 - 1918*a**3 + 1 + 726*a**3 + 844*a**3 - 2.\nAnswer: 317*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18149\/90770 + 1\/18154. Let i(w) be the first derivative of o*w**2 + 4\/25*w**5 + 14 - 1\/2*w**4 - 2\/5*w + 2\/5*w**3. Solve i(t) = 0 for t.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/18 and 4\/23731.\nAnswer: 427158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 7*b + 2. Let f(t) be the first derivative of b + t - 1\/4*t**2 - 1\/6*t**3. Factor f(g).\nAnswer: -(g - 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 2*3\/(-6). Let q be -5*1 - (-1 + -1). Let x be 11 - ((-3)\/q - d). Solve -h + 4*y - 1 = 3*y, -2*y - x = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1167424 and 464?\nAnswer: 1167424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -2\/7 (b) -1168 (c) -13 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4*m - 29*m**2 - 3 + 51*m**2 - 25*m**2 to the form k*m**2 + p + j*m and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 1, q: 1, m: 1, n: 2, b: 1}. Give prob of sequence bnin.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/20)\/((-99)\/24).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 24.6. Which is the nearest to -2\/7? (a) n (b) 2 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 205a - 916?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 0 + 17 + (-16 - -29)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/8, 285, -3\/7.\nAnswer: -3\/7, 13\/8, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 - -3035.8?\nAnswer: 2881.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1 (c) -1\/4 (d) 12 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.44 rounded to the nearest integer?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 14564725?\nAnswer: 14564715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*2 - (-3 + 4). Let m be (-1)\/(-2) - ((-162)\/12)\/9. Let q(z) = 2*z + z**3 - 2 - 3 + 2. Let w(v) = -v**3 + 1. What is m*w(x) + n*q(x)?\nAnswer: -x**3 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3 - 28064*s**2 + 56134*s - 28068 = 0.\nAnswer: -14034, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 10. Calculate the remainder when 2 is divided by j(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvdgd. What is prob of picking 2 g and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10280.2 - 10280. What is the closest to c in -0.188, 2, -2\/15, -4\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101541269 to the nearest integer?\nAnswer: 10077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k + 29*k = 5*r - 210286, 3*r + 4*k - 126156 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 40 = -2*f. Suppose 3*z + 2*z = f. Let g = z - -12. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.88 + -0.88. Sort 100, x, -5, 5 in decreasing order.\nAnswer: 100, 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13762, -55034, -123820, -220120, -343934, -495262?\n\"Answer: -13757*m**2 - m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6955*u**3 - 8*u + 3*u + 5*u.\nAnswer: -6955*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, 0.4, -2, 20, 3, 1.7 in decreasing order.\nAnswer: 20, 3, 1.7, 1.4, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 1\/(-2)*4958\/(-268)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000225291605 to seven dps.\nAnswer: 0.0002253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 4\/26 + (846\/78 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/4)\/5*(-2)\/(16\/(-10)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44433, -43721, -43019, -42333, -41669, -41033, -40431?\n\"Answer: -d**3 + d**2 + 716*d - 45149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -217, -37.9, -546?\nAnswer: -546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/3, -72, 234 in ascending order.\nAnswer: -72, -2\/3, -0.3, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 - 90. Let f(i) = i**2 - i + 1. Let m(k) = -k**2 - 7*k + 64. Let g(l) = a*f(l) + m(l). Differentiate g(b) wrt b.\nAnswer: -14*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-8 + 7 + (-7)\/9). Let i be (4 - -1)*2\/5. Suppose 4 = -i*t - 2. Which is the closest to -1? (a) 2\/13 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4724857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1044 by 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 6425*x = 6428*x + 9, -31 = y + 4*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -42 - 19791*j + 42 + 19796*j. Let a(x) = 239*x**2. What is i(a(l))?\nAnswer: 1195*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 9:56 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:37 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -1118?\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1617 + -17. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**35*f*f\/f**(-14)*f)**10 assuming f is positive.\nAnswer: f**520","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -h - 13. Sort -3, -5, h, -1 in ascending order.\nAnswer: -5, -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82.4 + 82.3424. What is y rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1272270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3067861*i**4 - 50450*i**2 - 2*i.\nAnswer: 73628664*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104844 - 104844 + 3*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12506 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315) + sqrt(315)*-1 + sqrt(350)\/(-1*sqrt(10)) + sqrt(35))\/((sqrt(5) + sqrt(80))*-2 - -2*sqrt(500)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from noououtoktet.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*b + 9*b + 17 - 640 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 + 7*m + 3. Let a be -2*1 + 5 + 1. Suppose s - 6*s = -15. Let t(p) = 6*p**2 - s*p**2 - 4*p - 1 - 1. Give a*z(o) + 7*t(o).\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -312, -581, -884, -1221, -1592, -1997, -2436?\n\"Answer: -17*h**2 - 218*h - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9475\/1629 + -1002911\/215028. Let o = w + 13\/108. Factor -2\/11*t**5 - 26\/11*t + 4*t**2 + o*t**4 + 6\/11 - 36\/11*t**3.\nAnswer: -2*(t - 3)*(t - 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7439*s**2 + 20*s + 926948 wrt s.\nAnswer: 14878*s + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 426.57, -3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*l**3 + 4*l - 7*l**2 + 21*l**2 + 0 - 13*l**2 to o*l**3 + y*l + s*l**2 + x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/189*(-81)\/675.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20)\/(1\/6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81 - 25300\/(-300))\/(-10*(-2)\/264).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:49 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 + 90 = 31*z + 91 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14101862 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, b: 2}. What is prob of picking 1 b and 3 i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151251654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 59*r**2 + 56*r + 66. What is m(58)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/88)\/(-15)*14\/(19*6\/684).\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = 19*d - 4*z + 20692, -5*d + 4*z = -51702. What are the prime factors of d?\nAnswer: 2, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165\/16546 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 2373065234.\nAnswer: 2373065232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*w + 50, -3*w = -3*y + 10 + 38. Solve 6*s - 9 = 7*s + c, -5*c = -s + y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 + 69. Let v = j + -47. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 15*h. Let y = -13 + 16. Let m(b) = -b**2 + 3. Let w(s) = 1. Let g(z) = y*w(z) - m(z). Calculate k(g(f)).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 30*j + 144946. Determine y(-396).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (-1 - 93) + 2044 + -2010?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79 + -148.177.\nAnswer: -227.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -983*m + 481 + 657 - 165 + 190 + 351 wrt m.\nAnswer: -983","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273*492.\nAnswer: -134316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 802908 divided by 66909.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**3 + 2424*z**2 - 489648*z + 32969632 = 0 for z.\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 132557508 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1752 and 2445525?\nAnswer: 1428186600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 96\/238 - 2\/7. What is the smallest value in n, 5\/6, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 4201.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 23109*v - 23106*v = 26, 4*u + v - 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11*23\/(1012\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2\/17 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssn when three letters picked without replacement from {s: 3, n: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 170*n**2 + 355*n + 60353. Determine y(-170).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {i: 2, w: 7, a: 6}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110258 - 10515 = -3334*r + 2585 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + (-3 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378 divided by -21.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-35)\/(-2) - (-3)\/6 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2. Suppose -2 = 2*r - 3*r. Let f(g) = 1 + 16*g**r - 8 + 7. Calculate w(f(o)).\nAnswer: 256*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*w - 218*w - 93*w - 53*w + 2 to the form o + a*w and give a.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*u**2 - 202*u**2 + 13*u**2 as h + q*u + n*u**2 and give n.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1441*r + 334. What is the hundreds digit of v(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4 + 9. Suppose -3*y = 2*m - 4 - 5, -4*y = m - 12. Solve m*h + g*h = -5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) - (-44)\/6 - -2. Let k(b) = -b**3 + 10*b**2 - 2*b - 18. Does 15 divide k(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 18282?\nAnswer: 1828.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 185437*o + 254841.\nAnswer: 185437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46367?\nAnswer: 199, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 21. Which is the closest to -1? (a) 1 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.6 and -0.1.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -688?\nAnswer: 481.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/35 + (-16170006)\/21. Round s to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaafaasa. Give prob of picking 2 a.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r**(1\/5)*r)*r*r)**(9\/2))**(-2\/19) assuming r is positive.\nAnswer: r**(9\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639*b**2 + b**3 - 550*b**2 + 1669*b**2.\nAnswer: b**3 + 1758*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 648190000 rounded to the nearest one million?\nAnswer: 648000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 s, 1 k, and 1 g when four letters picked without replacement from bkkazgbgazbaszbkgbzk.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**2 + 6*a + 6. Calculate y(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2760, -11035, -24826, -44133, -68956, -99295, -135150?\n\"Answer: -2758*v**2 - v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/((-3750)\/180)*30?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 105090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-29 + 23 + 29 - 13)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70897.12 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 - -7 - (9 + -3) - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*w + 34, -51*w + 47*w = 5*u - 57 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.3 + 19.47. Let w = -5.87 + z. Let h = -0.7 - w. Put -3, h, 3 in increasing order.\nAnswer: -3, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(24\/(-5))*1\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110802 + 111170. Suppose 2*g - 37 = g. Calculate the remainder when d is divided by g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -391 + 231. Round t to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 2*v - 1, 2*v + 2031 - 2027 = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 10:03 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89823044*k**4 + 2*k**2 - 917577*k + 2 wrt k.\nAnswer: -2155753056*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233*a - 28*a - 6*a)*(3 - 4 - 4).\nAnswer: -995*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/133 and -103\/54?\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 1. Let c(k) = 3*k - 3. Let l be c(3). Let p be z(l). Suppose -4757490 + 1257490 = -p*o. Round o to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m + 7. Suppose 139 = 3*q + 2*s - 46, 124 = 2*q + s. Let p(l) = 3*l**2 - 49*l - q*l + 2*l**2 + 112*l. What is p(w(b))?\nAnswer: 45*b**2 - 210*b + 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 90*x - 323.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 x when three letters picked without replacement from gxxxgxgxgx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -11 + (6 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine halves of a millennium?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*a**3 + 1)*(2 - 2 - 2) + 3*a**3 + 0*a**3 - 5*a**3 - 8 + a**2 - 5 + 14 + 3*a**3 to the form v*a**3 + m*a + r + u*a**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 10:57 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.43193 rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 81*m**3 - 642*m**2 + 1248*m + 96 = 0. What is m?\nAnswer: -2\/27, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1281 and 2013?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 60 = 5*h, -4*s - 17 = -2*h + 1. Solve h*i - i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*t - 368 = 0, -9*t - 20 = -4*t. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 20*u + 99. Give l(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from ijwjiwijfqfqfiwa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 35*f**2. Let t(r) = 2*r**2. Calculate t(j(l)).\nAnswer: 2450*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 536, -351 in decreasing order.\nAnswer: 536, 4, 3, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 124442.2872 milliseconds?\nAnswer: 0.00020575775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((-506)\/1104)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 14*d - 43. Let p be o(-7). Solve 3*k - g + 0*g = -8, -2*g + p = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 282*i**3 + 5*i**2 - 6*i. Let l(m) = -4*m**3 - m**2 + m. Give -c(g) - 5*l(g).\nAnswer: -262*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 45. Let o = 14 + -36. Let x = o + r. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24438491 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 34\/30053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 6*l + 20. What is the third derivative of s**2 + s**2 - s**4 - 9*s**l wrt s?\nAnswer: -240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 1b8?\nAnswer: -1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00093689398 to seven decimal places.\nAnswer: -0.0009369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -5*p + 23, 6*v + 207 = -6*p + 213 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5601 divide 974641212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3122 (base 6) to base 11\nAnswer: -585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36.42373 less than or equal to 0.119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(432)*2*-3)\/(-5*sqrt(20)\/(sqrt(5) + sqrt(50)\/sqrt(1000))).\nAnswer: 396*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 125\/(-45)*12\/20*2\/10\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -60 + -10 - (232 + -291)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + (-3300)\/(-9). Let r be -2 + o\/2 - (0 + -1). What is the tens digit of (-1575)\/(-13) + (-28)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -11*s - 3. Let f be t(-3). Suppose -760*a + 751*a + 1350 = 0. Calculate the greatest common divisor of a and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176556 is divided by 392087.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b**2 - 34*b + 6. Let i(h) = -20*h**2 - 101*h + 17. Determine 6*i(v) - 17*n(v).\nAnswer: -v**2 - 28*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2286304l in millilitres?\nAnswer: 228.6304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 41*g + 28. Let t be a(-25). Is t smaller than 1682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, o: 5, s: 2, g: 1, d: 2, r: 1}. What is prob of picking 1 z and 1 g?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 - 2*y**2 + 1. What is the lowest common multiple of 6\/(((-8)\/6)\/(-2)) and f(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17670, -70874, -159612, -283884, -443690, -639030, -869904?\nAnswer: -1136312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -4*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/28 and 99\/227428276.\nAnswer: 1591997932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02182, -4, 5, 0, 4, -0.5 in ascending order.\nAnswer: -4, -0.5, 0, 0.02182, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*j**2 + 28*j**2 + j**4 - 2*j**4 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 - 18*n - 2. Let m be j(8). What is the common denominator of (2\/10)\/(4\/m) and -83\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -437 - -730. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 * -92\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 - -101 - -135 - 85?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 15*x**2 + 425*x - 5128. What is u(11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - ((-2 - 8) + 19).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**3\/3 + 3*q**2 + q - 1. Let u be m(-6). What is u rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*w - 13. Suppose 0 = w*z - 2*z - 30. Is (12\/9)\/(2\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 31, 74, 135, 214, 311?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 53 = -7. Let w be (-87)\/(-15) + (-16)\/h. Find a, given that -3*a**3 + 365 - w*a**2 + 3*a + 4*a**2 - 364 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = w - 14, 28 = -0*c + 4*c + 4*w. Factor -8 - c*i - 11*i - 6*i + 14*i**2.\nAnswer: 2*(i - 2)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h**2 - 438*h + 268. Let s be f(49). Sort s, -3, 2 in decreasing order.\nAnswer: s, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 + 74820\/780 + (-294)\/(-442).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 47925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -9, -4, 15, 54, 119, 216?\n\"Answer: q**3 - 2*q**2 - 4*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -17*h + 95. Let o be d(5). Let l(j) = 5*j**2 - 23*j + 26. Let f be l(o). Calculate the greatest common divisor of 37 and f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 207*r**2 + 3*r - 1. Is f(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-30))\/(1\/(48\/4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + 3 + 1630 + -1700\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 - 132*t**2 + 35006*t - 35006*t.\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1108 - 7750\/7. Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-7)\/((-28)\/(-8))). Let z be 16\/3*3\/s. Are z and 8 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 30*v. Let c(k) = -3*k**2 - 89*k + 1. What is -2*c(r) - 7*q(r)?\nAnswer: -r**2 - 32*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.570036 + 0.4701. Let t = z + 0.1. Round t to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 329 and 124698943?\nAnswer: 872892601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 30 = 13*w. Let r(c) = 1. Let t(p) = -p**2 - 3*p + 2. Let g(b) = -2*r(b) - t(b). Let o be g(w). What is the highest common factor of 98 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/35*14\/4. Let y(p) = 2*p + 2. Let g be y(s). Suppose -11*m = -9*m + g. Let c(z) = z + 3. Let x(w) = w + 4. Calculate m*c(d) + 6*x(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.541 - 0.041. Let y = 1 + -3. Let n = -2 - y. What is the nearest to -1 in 2\/7, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odp when three letters picked without replacement from pppbopbpd?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 2*k - 2*k + 6*k + 5*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - 31 + 6*m**2)*(2*m - 3 + 3) + (2*m + 3 - 3)*(-3*m**2 - m**2 + 6*m**2) - m**3 + m**3 + m**3 as i*m**2 + n*m + p + x*m**3 and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*(-1)\/2 + -3. Suppose -34 - 46 = -k*v. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38569397.\nAnswer: 41, 347, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1745 = 5*k - 5*t, -2*k - 495 = t + 200. Let l = k + -702. What is l rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194545638.\nAnswer: 2, 3, 7, 23, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 9. Let j(f) = f**3 + 6*f**2 + 4*f - 3. Suppose 2*u + 0*u + 10 = 0. Let d be j(u). Solve d*r = -3*r + x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -162d - 1a?\nAnswer: -1648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*p - 30 = 5*b, 3*b = 4*p - 20. Let u(s) be the third derivative of 17*s**2 + 0 + 0*s - 1\/24*s**4 - 11\/6*s**3. What is u(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*x**3 - 14367*x**2 + x + 181390 wrt x.\nAnswer: -294*x - 28734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/4503 and -20\/1817.\nAnswer: 103569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 14*s**2 + 18*s + 11. What is z(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1a1e7 (base 16) to base 10\nAnswer: 106983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a week in hours?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 b when three letters picked without replacement from {d: 1, b: 2, g: 1, s: 2, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:46 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014614931 to 7 dps.\nAnswer: -0.0014615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -148686092461106 less than 0.5?\nAnswer: 148686092461106.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*r + 90 = 165*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2991376 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: Let d(u) = -2*u - 2. Let z be d(-9). Suppose 6*v = -5*m + 2*v + 14, 4*m + 2*v = z. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o + 3 = -3*z, 0 = -4*z + 3*o + 9. Let x(j) = -2 + 4*j + j - 6*j. Give x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, -0.1, 2.97, -5, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -47 - -8 - 51) + (-3 - -10)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -1.6099\nAnswer: -8.0495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33802023?\nAnswer: 3, 29, 388529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 8*p**2 + 6. Let a be n(8). Let g be (-8)\/4 + (a - 1). Suppose 0 = 6*w - 3*w - 3. Solve -5*t = -5*u + 10, -t - g = w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, -9, 11, 3 in descending order.\nAnswer: 196, 11, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*j**2 + 60*j**2 + 4*j - 17*j**2 - 24*j**2 as l*j**2 + v + n*j and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101001101101011 - -1011001?\nAnswer: 1011101001111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/9534 and -119\/8172?\nAnswer: 57204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let u(v) = -v**2 - 7*v + 10. Let b be u(-8). Find the second derivative of -n**2 + 0*n + n**h + b*n**2 + 3*n wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79681603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 200496\/5 bigger than 40098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1715*c + 2491*c + 2259*c in the form a*c + n and give a.\nAnswer: 3035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2363*h*p**5*u**3 + 2*h*p**2 + 398*h*p*u**2 + h*p - 5*h*u**3 wrt p.\nAnswer: 47260*h*p**3*u**3 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 765 (b) -2\/5 (c) 10 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(14)\/sqrt(7))**2 + 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 - 4*v - 3. Let h be f(-2). Solve -40 = 3*l + l + 5*a, -h = 5*l + a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0 = 33. Let b be (-3 + -3)*(1 - 2). Let y = b - q. Let m(r) = -r**3 - 5*r**2 + 1. Determine m(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -81, -180, -317, -492?\n\"Answer: -19*v**2 - 4*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/5 - 3\/(-15). Suppose u = -4*o - 12, -2*b + 27 = -o - 4*o. Let r(p) = 4*p**2 - 6*p. Let d(j) = -11*j**2 + 17*j. Determine b*d(s) + 17*r(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4300873 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Let n = -15541\/30 - -7005541\/13530. Let h = -3\/41 - n. What is the smallest value in o, h, 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o + 4. Let d(z) = -21*z + 13. Let w(l) = 38*l - 23. Let c(b) = 11*d(b) + 6*w(b). Determine 5*c(i) - 6*q(i).\nAnswer: 9*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgqg when four letters picked without replacement from ggggggqqggqgggqggg?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2031\/81268 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3f (base 16) to base 14.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -2*(sqrt(175) + 0) + sqrt(175) + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.9 less than -2?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*u + u. Let i(w) = -u*w**2 + 5*w**2 - w**2. Let g(q) be the third derivative of -q**5\/30 - q**2. What is i(g(d))?\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 161908.7 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 7 = 2*p, 13*p = -75*c + 79*c - 82 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 + 4*n**2 + 6*n + 7. Let j(c) = -c**3 + 6*c**2 + 6*c - 4. Let v(g) = g**3 - 7*g**2 - 7*g + 5. Let u(m) = 6*j(m) + 5*v(m). Give -6*u(l) + z(l).\nAnswer: 2*l**3 - 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**3\/3 - 19*i**2\/2 - 5*i + 1. Is c(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 2:34 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 85, -1\/5, 0.1 in increasing order.\nAnswer: -1\/5, -0.1, 0.1, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, a: 1}. Give prob of picking 2 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1917.6 to the nearest 10.\nAnswer: -1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p - 4798 + 9603 - 4804.\nAnswer: -10*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 14284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyddddyddddydddddd. Give prob of sequence yddy.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 7:07 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (802 + 1206 - 608)*(-m + 0*m + 5*m).\nAnswer: 5600*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552*m - 562*m = 0. Suppose 3*o - 50 = o. Suppose 7*b - o = 2*b. Solve x = -m*x - b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*((o*o*o\/(((o**(-4)\/o)\/o)\/o)*o)\/o)\/o*o)\/o)\/o)\/(o**(-9\/4)\/o)*(o**(-9)*o)\/o*o**(-2\/9))**(-3) assuming o is positive.\nAnswer: o**(-145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0467 - 68.17.\nAnswer: -68.2167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -21*p - 25. Let j(q) = 5*q + 6. Let y(u) = -2*g(u) - 9*j(u). Determine y(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1616*q + 33628*q + 21543*q.\nAnswer: 53555*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 950661*j - 20 = -950667*j + 27, 2*n = -4*j - 38 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(546\/8))\/((-8)\/(-12)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163018, 162892, 162766, 162640?\nAnswer: 162514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7383 by -33.\nAnswer: -2461\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 46*m**2 + 6895*m - 74550. Determine r(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 35, 54?\n\"Answer: 19*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 75105\/(-105) + 2\/7. Let g = p - -110. Let c = 1145 + g. Round c to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 5 - (-2 + 0). Let s = 3 - j. Let a(p) = -p**2 - 2*p + 3. Let b be a(s). Put -11, b, -2 in increasing order.\nAnswer: -11, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 10.0652544873775.\nAnswer: 10.3652544873775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 25)*(-2)\/3. What is the units digit of u\/(-4 + 2 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3260, 12920, 29004, 51512, 80444?\n\"Answer: 3212*h**2 + 24*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - 4*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -365 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -829.296\nAnswer: 331.7184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Suppose 2*g = 5*t - 5, -g - 5*t + 55 = 2*g. What is the greatest common divisor of i and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*i - 21 = 0, -t - 2*i + 1 + 1 = 0. Let f(h) = -20*h**2 + 4. Let w be f(t). Is w\/6*(-12)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.03 (c) 0.5 (d) 106 (e) 0.4 (f) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, u: 1}. What is prob of sequence iiii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-22)\/(-5))\/(2\/200). Let q = j - 435. Let i(z) = 12*z**2 + 2*z + 1. Let y be i(-2). Calculate the greatest common factor of q and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -63 - 27. Let q be (2\/(-6))\/((-85)\/j). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-12)\/(-18))\/(0 - 6\/(-369))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 61 + 198 - 45 + 250 in the form t + r*b and give t.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-25)*90\/(-36))\/((-2)\/(-70))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6*3\/10. Put 4, w, -7\/5 in descending order.\nAnswer: 4, w, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/4*2464\/(-280). Suppose r = 15*h - 4*h. Solve h*d - 15 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -n - 3012939 + 861425, -2*x + 4*n = -860602. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5194 divided by -24.\nAnswer: -2597\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38787196?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1199 = z - 1357, -4*j = 0. Suppose 28*i + z = 31*i. What are the prime factors of i?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 1:16 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3926665 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - 3 - 3716*k + 4.\nAnswer: -3716*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjyjcyecjjyjjjy. Give prob of picking 2 c.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*20\/450)\/(4*(-102)\/60).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 q when two letters picked without replacement from weedqqeqtqqc?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 3:42 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1566)\/(-15) - 6\/(-10). Suppose 0 = -3*g - 2*g + o. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, o: 3}. Give prob of sequence oko.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 195, 275, 367, 477, 611, 775?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17681400 (base 9) in base 2?\nAnswer: 100001111111100000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 26200*x - 26209*x - 48, -2*x - 14 = -t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = d - 21, -q - d - 2*d + 8 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 456, 5, -3, 4, -73, 3 in descending order.\nAnswer: 456, 5, 4, 3, -3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26923 - 26934. Let l(d) = 2*d**2 + d - 4. Let y(f) be the second derivative of -5*f**4\/12 - 2*f**3\/3 + 11*f**2\/2 + 9*f. Determine c*l(i) - 4*y(i).\nAnswer: -2*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42834 divided by -1.\nAnswer: 42834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n. Let f(m) = -7*m + 1. Let h be (-81)\/(-63) + (-2)\/7. Let d be -4*h\/6*3. Determine d*f(a) + 5*q(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 13*a = 10*a - 128724000. Round a to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1396256, 1396250, 1396244, 1396238?\n\"Answer: -6*h + 1396262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 1 - 1)*(u**2 + 4*u - 4*u) - 7*u - 48*u**3 + 5*u**3 - 16*u**3.\nAnswer: -57*u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*f**2 - 154*f**2 - 9*f**2)*(f**2 + 2*f**2 - f**2 - 1)*(-f - 5 + 5).\nAnswer: 274*f**5 - 137*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -15*v**2 + 5*v - 6. Let m = 634 + -633. Determine t(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.047?\nAnswer: 0.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 6*q**2 - 5*q + 5. Let s be (2 - 156\/42)*(-14)\/4. Determine f(s).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30051\/972 + (42\/12 + -4)\/(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 73*f + 1385. What is c(-31)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**3 + 3*k**2 - 6*k + 3. Determine c(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**7\/14 - 7*j**6\/5 - 99*j**5\/20 + 28*j**4 - 32*j**3 + 3*j + 74. Factor y(s).\nAnswer: -3*s*(s - 1)**2*(s + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w + 4. Let d = 6 - 11. Let h(r) = r + 5877607 - 5877607. Give d*h(x) + t(x).\nAnswer: x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 11*h - h**2 - 15*h**3 + 2 + 10*h. Let n be x(-1). Calculate the smallest common multiple of n - (-4 - 12\/(-3)) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*c**4 - 41082*c**3 + 1185279*c**2 - 335298*c = 0. What is c?\nAnswer: 0, 2\/7, 29, 1927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -6. Let f be (4 - (1 - -3))*(-6)\/(-12). What is the nearest to r in -3, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -14907811.\nAnswer: -14907813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 + 4*q - 1. Let n(c) = 54*c**2 + 45*c - 11. Give 22*h(b) - 2*n(b).\nAnswer: -42*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ettteet. Give prob of sequence te.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -3*m + 12*m - 5*l + 103, m = 4*l - 89 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -0.77 (c) 31\/5 (d) 3 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 55297 divided by -3891\nAnswer: -55297\/3891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y. Let g(m) = 2*m**2 + 4*m + 1. Let o be g(-3). Suppose -4 = -u + 1. Let a(r) = -4425 + 4425 - 10*r. Give o*v(t) + u*a(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 508\/1295 + 2\/259. Put c, 4, -0.5 in ascending order.\nAnswer: -0.5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21411168 a multiple of 813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*(-2)\/4*-9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -13*m - 42. Suppose 32 = 3*k + 4*j - 0*j, 5*k = 2*j + 62. Suppose k*z = 9*z + 12. Solve -t - 17 = -5*g, g - t + z - m = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 43 + 15 = 0. What is the remainder when 13 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -334.884 rounded to the nearest integer?\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35\/6 + 53\/3*k - 1\/2*k**2.\nAnswer: -(k - 35)*(3*k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -224 + 1451. What are the prime factors of b?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/7*u**5 + 0 - 200\/7*u - 162\/7*u**3 + 340\/7*u**2 + 23\/7*u**4 = 0. Calculate u.\nAnswer: 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -26. Let f = -19.5 - i. Let o = 1.5 - f. Is o less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 3)*(-3 - 2 + 3) - 18 + 9 + 10)*(9*z - 7*z + 0*z + 21*z) + (-z + 0 + 0)*(2 + 0 + 0).\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.52, -3, 0.1 in descending order.\nAnswer: 0.1, -0.52, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -48\/13?\nAnswer: -48\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-436*h**3 + 195*h**3 + 192*h**3 - h**2)*(2*h + 4 - 4) + 2*h**2 - 2*h**2 - 2*h**4 to the form t*h**2 + u + d*h**4 + r*h + l*h**3 and give d.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 16*u + 2*u - 2*u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-1\/32)\/(l\/l**(-1\/3)*l**6)*((l\/(l*l**(-3)\/l*l*l))\/(l*l**(-2\/5)*l*l))\/((l*l\/l**3*l)\/((l\/(l*l**(-2)*l))\/l)) assuming l is positive.\nAnswer: l**(-119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -3177\/9911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l - 11. Let y(j) = -2*j + 5. Let k = 45 - 32. Suppose -28 = -5*m + 3*x - 6*x, 3*x = -2*m + k. Suppose 6 = -m*a - 9. What is a*f(c) - 7*y(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.7, -5, -1.7, 5, 3\/5, -0.3, -299?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-28) - 31\/(-4). Suppose 10*h - 52 = l*h. Suppose 3*p = 122 - h. Calculate the remainder when p is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 1905?\nAnswer: 13335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 2, a: 4}. What is prob of picking 1 d and 1 a?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a64958 + -4?\nAnswer: -1a6495c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeexeex. What is prob of sequence xe?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-12)*1)\/((-1)\/(-99)). Let z = 38 - l. Let x(p) be the second derivative of p**5\/20 - p**4\/2 + 2*p**3\/3 + p**2\/2 + p. What is x(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = -3*s + 33, 0 = -a - 1566*s + 1570*s + 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -4, -0.4, 4\/5, 0.03?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-35)\/(-2))\/(6\/12). Let d be (-4)\/14 + 255\/q. Suppose 34 = 2*v - 22. What is the highest common factor of v and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 16*r - 36. Let g be n(2). Sort g, -1, 361 in decreasing order.\nAnswer: 361, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 51*n**2 + 414*n + 256. What is w(-8)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29555844283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 7. Let n be y(3). Let b(r) = -16*r. List the prime factors of b(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5 = v, 16*l - 13*l = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -81, -56, -11, 60, 163, 304, 489?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2379 and 234?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*i**2 + 77*i**2 + 370*i - 14*i - 31*i**2 - 21*i**2 - 2*i**3 as q*i**2 + m*i + l + r*i**3 and give m.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 + -16. Is 1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(847) - sqrt(847)*-2)**2 - 6*(sqrt(7) + 3)*-4.\nAnswer: 24*sqrt(7) + 7691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(13))*4*-3 - ((sqrt(91) + (sqrt(91) - (2*sqrt(91) - sqrt(91)))*-5 - sqrt(91)) + sqrt(91))\/sqrt(7))*-3)**2.\nAnswer: 5616*sqrt(13) + 24957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (342\/(-4))\/(2\/8). What are the prime factors of 6\/(-8) - o\/8?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**6\/144 - v**5\/15 - v**4\/8 - 8*v**2. Let d(g) be the second derivative of n(g). Differentiate d(u) with respect to u.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o - 2*h + 574 = 0, 411 = -3*o - 5*h. Let r be 3 + 8\/2 + -227. Let u = o - r. Does 26 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2267629 + 9790268 = 78*x - 21478905. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3565.78 - -3604. Let z = a + -40. What is z rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 520.6102 to zero dps.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 401212935 to the power of 1\/2, to the nearest integer?\nAnswer: 20030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -31, -2\/5, -1 in ascending order.\nAnswer: -31, -1, -1\/2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i + i - 3*i)*(-1 - 1 + 4) + (137 + 74 - 54)*(-2 - 1 + 1)*(2*i - 4*i + 4*i) in the form g + d*i and give d.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 570*h**2 + 8*h - 30. Let y(k) = -190*k**2 - 3*k + 11. Determine -3*v(s) - 8*y(s).\nAnswer: -190*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04997859 to three dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8549 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: Work out -8808.5 - 19.3063.\nAnswer: -8827.8063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((28\/(-12))\/7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h**1*h*h*h*h)\/h))\/(h*h**(-1\/3)*h))\/(h\/h**0)**(-25))**(-45) assuming h is positive.\nAnswer: h**(-915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -15*s**3 + 17*s**2 - 15*s. Let m(w) = -7*w**3 + 8*w**2 - 7*w. Let u(z) = 6*j(z) - 13*m(z). Factor u(b).\nAnswer: b*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 2 - 106*q**3 + 42*q**3 - 1 + 39*q**3 + 31*q**3 - 4*q to the form b*q**3 + r*q**2 + d*q + f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-4\/7))**(-33)\/(c**(-1\/5)\/c)**9)**35 assuming c is positive.\nAnswer: c**(-1437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -58423\/542 and -107 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**2 + 16*p - 195. Let g(o) = -9 - 3*o + 48 + 2*o**2 - 3*o**2. Let n(a) = 2*b(a) + 11*g(a). Is n(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*m**2 - 416*m**2 - 14*m**2.\nAnswer: -356*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 11*k**2 - 11*k + 11. Let t be l(10). Suppose -4*j + 5*q - 21 = 0, 0*q = q - t. Let n = 7 + j. Solve -5 = n*c + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35091, -35093, -35095, -35097, -35099?\nAnswer: -35101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**6\/30 + 11*o**4\/24 + o**3 - 2*o. Let m(f) be the second derivative of g(f). Differentiate m(t) with respect to t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 - 34*t + 50*t + 6*t**2 + 15 - 7 - 4*t**3 - 5*t**4.\nAnswer: -2*(t - 2)*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10388 is divided by 2069.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(12) - ((sqrt(17) + 0 - sqrt(17))*1 + sqrt(17)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 12*n**2 + 8*n + 19. What is b(11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/5976 and 16\/39591.\nAnswer: 316728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f\/f**(3\/8)))*f*f**(-19)*f)**25)**(3\/4))**(1\/36) assuming f is positive.\nAnswer: f**(-3275\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**3 - 4*z**2 + 4*z + 4. Let p(t) = 1 + 2*t - 5*t + t**3 + 2*t**2 - 3*t**2 + 4*t. Let b = 19 - 18. What is b*h(a) - 4*p(a)?\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, w: 2, s: 7}. What is prob of sequence hssw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/4 - 33*o**2\/4 + 27*o\/2.\nAnswer: 3*o*(o - 9)*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17*(-66)\/(-935))\/((2\/(-5))\/2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let r(q) = q - 712694. What is r(g(a))?\nAnswer: -a - 712694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*h + 750 + 930 = -144*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -8, -3215\/4, -1?\nAnswer: -3215\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -5. Calculate the highest common divisor of j and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*f = 29 - 4, 4*f = -2*g + 6. Suppose -g*m + 0 - 2 = y, 4*m + 3*y + 6 = 0. Solve k + x - 1 = m, 0 = -x - 3*x + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693816 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 572 and 260?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 6:58 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/16695 and 13\/118650?\nAnswer: 18865350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 18 = -3*s - 2*o, 3*o - 9 = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-2) - -2)\/1. Suppose -1581*w = -1575*w + 54. Which is the fourth smallest value? (a) -4 (b) 3\/5 (c) p (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2471*u + 133686. Calculate w(-54).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8414569 grams?\nAnswer: 841456.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - (1 - 1)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 3*i**2 - 6*i**2 + (0*i + i**2 + 0*i)*(-2 - 2 + 3) - 2*i**2 - i**2 + i**2)*(-77*i - 102*i + 32*i) + (2*i + 0*i + 0*i)*(-2 - i**2 + 2).\nAnswer: 880*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 84, 211, 384, 597, 844, 1119, 1416?\n\"Answer: -b**3 + 32*b**2 - 14*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 321791 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 21\/(-3) + -3 + 5. Suppose 5*x + 5*b + 90 = 2*b, i = -4*x + 4*b - 40. Which is greater: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*m**3 - 1 - 6*m + 38*m**3 + 41*m**3 in the form j + u*m + c*m**3 + g*m**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6241*b**2 - 18 - 3088*b**2 - 3158*b**2 + 18.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-175666)\/2)\/((-2)\/7*(-504)\/(-144)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 0*x**2 - 6*x**2 - 2*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(5\/(-2)) - -3. Suppose 0 = -r - 2*q - 17, 0*r = -r + q - v. Let k be 1\/(-4) + r\/(-4). Solve 4*g - 4*j - 36 = 0, 4*j = k*g - g - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, b: 4, d: 1, w: 3}. Give prob of picking 2 q, 1 b, and 1 w.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2679 + -0.85.\nAnswer: -2679.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 12*m - 6*m. Let z(p) = -m + 3*p + 1215*p**2 + 2 - 1210*p**2. Let b(x) = -x**2 + 1. What is 4*b(j) + z(j)?\nAnswer: j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-46)\/(b*(b*b*(((b**(-35\/4)\/b)\/b)\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(-141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264 by 4.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -1\/44 (c) -5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 627800 rounded to the nearest one thousand?\nAnswer: 628000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -83, 4, 5, 6 in descending order.\nAnswer: 6, 5, 4, 0, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 107*n - 106*n - 18557, 0 = 3*y + n - 13917. What are the prime factors of y?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10*q**2 + 211*q - 702. Let b(c) = 5*c**2 - 106*c + 352. Let w(v) = -9*b(v) - 4*o(v). What is j in w(j) = 0?\nAnswer: 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 2*c = 30. Let v(k) = 2*k**2 + 7*k + 3. Determine v(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**17\/y))\/(y\/(y**(-10)*y))*y\/y**(2\/23)*y*(y*y**(-18)*y*y)\/y)**(-13) assuming y is positive.\nAnswer: y**(11687\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 990401 or 990400?\nAnswer: 990400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.67 + 2.33. Suppose -15 = 5*f + 6*n - 2*n, 3*n - 9 = 3*f. Sort f, d, 0.1 in ascending order.\nAnswer: f, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -547*s**3*x + 27*s**3 - 8*s**2*x - 15*s*x wrt s?\nAnswer: -3282*x + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/202884 and 13\/160776.\nAnswer: 8521128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2313353721 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 60282135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 220*z**2 - 35*z**5 + 214*z**4 - 330*z**3 - 5*z - 29*z**4 - 35*z = 0.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -1\/50*v**5 + 0*v**2 + 0*v**3 - 1\/60*v**4 - 3 - 3*v. Let h(r) be the first derivative of y(r). Solve h(j) = 0 for j.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 827 + -915.3. Let g = m + 88. Suppose -2*r = -7*r - 10. Which is the closest to 0? (a) -1\/3 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonpnononnonnnnno. What is prob of sequence np?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**8\/6720 + u**7\/420 - u**6\/90 - u**5\/120 - 25*u**4\/2 - 264*u. Let m(q) be the third derivative of i(q). What is m(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11 + 16 - 32*n**3 + 14 - 42 - 2*n - n**2. Does 16 divide m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -29\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90 + 54. Let a = h - -51. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**3\/2 + 43*d. Let m(x) = 30*x. Determine q(m(p)).\nAnswer: -90*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*c = 30, -10 = -4*y - 0*c + 2*c. Let n(u) = u + 2. Determine n(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 4466215.\nAnswer: 2233107.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1807, -14371, -48449, -114799, -224179?\n\"Answer: -1793*u**3 + u**2 - 16*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*k**4 + 5500*k**3 + 1427920*k**2 wrt k?\nAnswer: -696*k + 33000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let h be (21\/14)\/(6\/8). Find the second derivative of -z + 0*z - q*z + 0*z - z**h wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5374079489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99317910 and 7038.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 727 times -2283?\nAnswer: -1659741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11563, -46259, -104085, -185041, -289127, -416343?\n\"Answer: -11565*m**2 - m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4786*n**3 + 7*n**2 + 459*n?\nAnswer: 28716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(136))\/(sqrt(72) - (sqrt(72) - sqrt(72)*2)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 844132912.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6781?\nAnswer: 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 600\/30*(-2)\/4. What is the units digit of (-1351)\/(18\/z - (-44)\/55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 15*k**2 + 13*k - 15. Calculate q(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11803?\nAnswer: 11, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuuu when four letters picked without replacement from ufuuxfuf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*n = -l + 1310, 0 = 4*n. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4363 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/60 and -19\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + r - 2*r - 105, -r + 3 = 0. Let i be (w\/6)\/3 + 1. Let s = 1 - -4. Which is the third smallest value? (a) i (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 161.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1772 = 24*q - 868. Calculate the remainder when q is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24775 less than or equal to 3072217\/124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 2*u. Let n be o(-2). Suppose -3*w + 3*f + 45 = 0, n = w + w - f - 28. Let l be 13\/(-2) + w\/26. Is -6 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 644 and 9821?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*d + 1457*d + 927*d - 1133*d + 2194*d.\nAnswer: 3684*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -b + 11, 2*o + o + 32 = -4*b. Let d(q) = q**3 + 4*q**2 - q. What is the units digit of d(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31445 times -2?\nAnswer: -0.6289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2 = 6*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5 - 14*j**4 + 996*j**3 + 8128*j**2 + 16192*j = 0.\nAnswer: -22, -4, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 p when three letters picked without replacement from llcpcplcclppeccecp.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -101758375.98 to the nearest 100000.\nAnswer: -101800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/8 (b) 15 (c) -8767 (d) 4 (e) -4\/5 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13841464 divided by -152104.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/5)\/(w**(-1\/2)*w)*(w*w**(1\/4))**(-19)*(w**(-5)\/w*w\/w**(-2\/7))\/((w*w\/w**1)\/(w*w\/w**(-4))) assuming w is positive.\nAnswer: w**(-3299\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {f: 1, l: 1, n: 2, i: 1, u: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*f + 60 = 150. Find g, given that -25\/2 + 5*g - 1\/2*g**f = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 1, r: 2, k: 1, q: 1}. What is prob of picking 1 r and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 8*r - 91 = -10*r, 0 = 3*z + 5*r + 77. Sort -1, z, 1, 3 in ascending order.\nAnswer: z, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + m + 3*m**3 + (m**2 + 1 - 1)*(-2*m + 0*m + m) + 0*m**3 + 2*m**3 + 0*m**3 + (-5*m + 0*m + 4*m)*(1 + m**2 - 1) - 2*m**3 + m**3 + 3*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 9558*w - 200293. Determine u(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwnwwnnuwwu. Give prob of picking 1 w and 2 u.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -821*u + 773*u + 912 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8189 + 21396. Calculate the highest common divisor of 47 and l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*g)*(-1 + 0 + 3) + 3*g - g + 0*g + 1 + 3*g - 1 + (0 + 41 + 134)*(0*g - 2*g + 3*g) in the form t + q*g and give q.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5055990, -5055902, -5055814, -5055726, -5055638, -5055550?\n\"Answer: 88*j - 5056078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 74\/7 in -6, -4\/5, -2\/9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*i + 21, c + 20 - 14 = 0. Let g = 6 + 11. What is the remainder when g is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/17424*88)\/((-171)\/(-12)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-108)\/(-24) - 1\/(-2). Suppose 0 = 4*k - 4*g - 16, s*k = -2*g - 3*g. Suppose 46 - 4*q**3 - 41 - 5*q**k + 5*q - q**3 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/3 (b) -10\/9 (c) -1944\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10130610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 652, 1300, 1934, 2548, 3136, 3692, 4210, 4684?\nAnswer: 5108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4\/7 - 296*l**3 - 257764*l**2\/7 + 390720*l - 6969600\/7 = 0. Calculate l.\nAnswer: -264, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -127, 55, 377, 833, 1417?\nAnswer: 2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times -73?\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 620.95 and 912.\nAnswer: 566306.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 19402*z + 10. Let p(c) = -2*c**2 + 2*c - 1. Let v be p(2). Let h be a(v). What is h rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvwwwwvwwwv. Give prob of sequence vvw.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -36. Let w(i) = i**3 - 14*i**2 - 11*i - 17. Let m be w(16). Differentiate 18*b**4 - 319*b + m*b - u with respect to b.\nAnswer: 72*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -63.7, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8854649 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*v = 39 - 5, 3*o - 46 = -5*v. What is the third derivative of 13*q**2 + 8*q**3 - 2*q**2 - 8*q**3 - o*q**4 wrt q?\nAnswer: -528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2053538*w**3 - 2531223 with respect to w.\nAnswer: 6160614*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/7 - 9630*w\/7 + 688.\nAnswer: -2*(w + 2408)*(2*w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.992 + -0.118. Let x = 5.21 + w. Sort x, -74, 2 in ascending order.\nAnswer: -74, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/15 (b) 0 (c) -4\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-776)\/(-291)*-9*18\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7788 by 132.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 852 and 111?\nAnswer: 31524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -104, -241, -434, -683, -988?\nAnswer: -1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27217 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 382861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4*m + 12 + 13 = 28, -3*i + 34 = 7*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, r: 8}. What is prob of sequence rm?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-8))\/(0 + (-9)\/(-66)). Let w be (-2)\/(-11) + (-62)\/f. Solve 3 = w*o + 18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -88 + -19?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*d**2 - 79*d**2 + 13*d**2 + 9*d**2.\nAnswer: -131*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105613060?\nAnswer: 2, 5, 4217, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -2*q + 5*r + 16, 0 = 4*q + 6*r + 46 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1362141 - 3522141. Round a to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -67*f**2 + 5*f + 409. Let b(i) = -34*i**2 + 2*i + 203. Let z(u) = 5*b(u) - 2*y(u). What is the first derivative of z(g) wrt g?\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**2*i - 13*h*i - 2*h - 12*i - 220 wrt h?\nAnswer: -4*h*i - 13*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39909383 is divided by 124?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2008 = 2*t, 3*t - t = 3*c + 2038. Calculate the highest common divisor of t and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 + 2*z**3 + 2*z**3)*(-41 - 12*z + 41) + 11*z**4 - 3*z**4 - 5*z**4.\nAnswer: 15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31643 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, l: 2, h: 1}. What is prob of sequence ghgg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 202382 to the power of 1\/2, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 779156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**2\/2 - 2*b + 200. Suppose 2*v - 6*d - 41 = -d, 3*v - 74 = -5*d. Suppose 4*w - h = w - v, 5*w - h = -37. Give m(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2800172.9841 + -2800297. Let k = 124 + p. Round k to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 2*g - g**3 - 3*g + 0*g**2 - 1 + 7. Let b(w) = 2*w**3 + 3*w**2 + 2*w - 11. Let j(x) = -3*b(x) - 5*n(x). Give j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*j**3 + 65*j**3 + 2308 - 159 - 21*j**3 - 13*j**3 - 54*j**2 wrt j?\nAnswer: 93*j**2 - 108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928389 is divided by 132577.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*j + 8 = 0, -5*j = -0*l + 3*l - 10. Solve 1 + s**4 - 3 + l + 3 - s**5 - 2*s**2 + 2*s**3 - s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/6 and 59\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4))**(-27)*(u*u**(3\/7))\/u**(-5) assuming u is positive.\nAnswer: u**(369\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -48*l - 11. Let b(z) = -9*z - 2. Let w(c) = 22*b(c) - 4*o(c). Let n(g) = 2*g**2. Calculate n(w(y)).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 6:37 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -18670 + -0.02\nAnswer: -18670.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 + -5 - 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 845 + 1878 = 0. Suppose -3*j - 2*w = -t, -3*w + 267 = j - 643. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 281*h - 6. Let s(x) = -283*x + 5. What is -3*r(n) - 4*s(n)?\nAnswer: 289*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 5. Let u(l) = l + 1. Give h(v) - 3*u(v).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.502 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2 - 1320*c + 528?\nAnswer: 4*c - 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 326 and 17767?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 5*z**2 + 4*z**2)*(-4 + 2 + 3) + 52 - 52 + 32*z**2 + z**2 + 0 + 0 - 2*z**2 + z**2 + 3*z**2 + (0*z - 3*z + 4*z)*(-2 - z + 2).\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13036961027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*j + 11436 = -336*j - 9274 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60825?\nAnswer: 3, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*b**3 + 29 - 29.\nAnswer: 46*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l + 3. Let t(x) = 5*x + 2. Let z(q) = -3*g(q) + 5*t(q). Suppose 6 = o + o. Let d(r) = -14*r + 2. What is o*d(i) - 8*z(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 4*b - 0*b. Suppose 2*c - b = -104. Let k = c + 47. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 - 18 = -4*j, -u = 4*j - 19. Suppose 2*k - 3 = -k. Suppose 0 = 2*q - 5 + k. What is the remainder when u is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -448910 by 9.\nAnswer: -448910\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39355, -39351, -39345, -39337, -39327, -39315?\nAnswer: -39301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 551804311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -105893*x**2 - 272*x + 136. Let f(y) = -3922*y**2 - 10*y + 5. Determine -136*f(c) + 5*v(c).\nAnswer: 3927*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*p + 4457 + 4999 = 0 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 3*y**2 - 2*y**2 + (314*y - 82*y + 356*y)*(1 + 9*y - 3*y + 1).\nAnswer: 3530*y**2 + 1176*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h + 2*h - 2*h + (-2 + 1 - 11)*(-200*h + 41*h - 4*h) to the form r + l*h and give l.\nAnswer: 1958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**5\/80 - n**4\/12 - 31*n. Find a, given that k(a) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-2)*(-6)\/(-54))\/((-29)\/(-870))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 2*f**2 + 2*f + 16. Let r be j(0). Calculate the lowest common multiple of 1\/(-4) - ((-164)\/r - -5) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -3 - -36)\/(4\/120). Let c = w + -720. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 1, y: 1, w: 1, j: 1}. Give prob of picking 1 w, 1 j, and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2497225733 to the power of 1\/2, to the nearest integer?\nAnswer: 49972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-40))\/((1\/(-18)*-3)\/(1300\/150))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4\/93, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1537511 to the nearest ten thousand.\nAnswer: -1540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 832 and 736736.\nAnswer: 1473472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -5?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30221*l + 30222*l = 2*m + 58, -4*m - 108 = 2*l for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 28 = 4*v - 6*z, 0 = 2*z - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88945*q + 4 + 363601*q - 2.\nAnswer: 452546*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225 by -15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3750772 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vclvlvvvollyocoolcro. What is prob of picking 1 r and 1 v?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 26*i**2\/11 - 12406*i\/11 + 1908\/11 = 0.\nAnswer: 2\/13, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p + 82 - p**2 - 82 + 12*p + 2*p**3 as o + t*p + c*p**3 + l*p**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**7\/7560 - y**6\/360 + y**5\/45 + 9*y**4\/4 - y**3\/2 + 94*y. Let f(k) be the third derivative of m(k). What is z in f(z) = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1228 - -1230. Let u = 2.1 - 0.6. Let v = 1 - u. What is the smallest value in 0, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 3347986637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(-a + a - 2*a)*(3*a**2 - a**2 + 0*a**2 + (-5 + 3 + 4)*(-5*a**2 + 5*a**2 + 6*a**2)) to the form z*a + p*a**2 + u + n*a**3 and give n.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*s - 3. Let w be 1\/(s\/2*2). Sort 0, 5, w in descending order.\nAnswer: 5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 10*k + 72. Let z be (9 - 2) + -9 - k. Solve -3*c = 4*i - 12 - 0, 0 = 4*i - c + z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*3 - ((-700)\/(-315) - (-3534)\/378)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4540835 and -33\/6357169.\nAnswer: 31785845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22385.7752179 - 22524.77523. Let f = g + 139. Round f to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 360 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657892 divided by -2?\nAnswer: -828946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 1\/2 (c) -1\/7 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 35*a + 628. Let b be q(-48). Solve -4 = b*w + 5*t + 3, 0 = 5*w + 3*t + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {s: 1, l: 1, d: 1, z: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -65. Suppose p + 0*c = 3*c + 17, 5*p - a = 5*c. Solve 0 = -5*k + 5*x + 5, -36 = p*k - k + 4*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 69. Let c be -5*9*(-2)\/10. Let w be b(c). Suppose 0 = -44*p + w*p + 128. What is the lowest common multiple of 1 and p?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77.5 + 78. Which is the second smallest value? (a) 0.4 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by 78?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-600)\/40*((-22)\/12)\/(117\/78)?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -410, -635, -864, -1091?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + p = 6*p + 106, -w - 2106734*p = -2106736*p - 1 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 9*t - 883 = -3*h, -2*h + 5*t + 617 = 0. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -31*h - 1. Let k be w(-7). Is (-1)\/(1 - k\/213) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117.2336 + 0.0664. Let n = 108 - c. Round n to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*g, 4*g + 36 = 2*s + 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 - 3. Let b = -7.3 + 0.3. Let q = -6 - b. What is the second biggest value in -3, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.19, -28 in ascending order.\nAnswer: -28, -5, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-42)\/(-27)*-5*240\/700.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/73025 and 46\/889.\nAnswer: 511175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17\/45 + 1\/45. Which is smaller: f or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4 = -2*l + 6, 0 = o - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 5*p**2 + 0*p + 2*p**3 + 2*p**2 - 2*p.\nAnswer: 2*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -5, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 4:59 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207345 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/69 and (-939)\/(-138) + (45\/9 - 11).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + 0.39. Let m = -0.75 + 0.05. Which is the second biggest value? (a) -4 (b) x (c) 0 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 2*y**4 + y**3 + (-y**2 + y**2 - 3*y**4)*(2 - 3 + 0) - 30*y**4 + 2955*y - 2955*y.\nAnswer: -29*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-168)*-169 - (43 + 3708\/(-84)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/6 + (-1)\/3. Let o be b*3\/18*0. Suppose o = 5*t + c - 48, 5*c - 21 = -6. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1012*y + 1947*y + 3858*y + 2618*y + 535*y to the form w*y + i and give w.\nAnswer: 7946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/4 - 3*d**4\/4 + d**3\/2 + d**2\/2 - 3*d\/4 + 1\/4.\nAnswer: (d - 1)**4*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38346857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 2*m**3 - 4*m**2)*(0*m - 5*m + 3*m) - 2*m**4 + 3*m**4 + 0*m**4 + 5 - 5 + 3*m**4 + (3*m**3 + m**3 + 0*m**3)*(2 - 2*m - 2) - 1 - 2*m**4 + 1.\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.86 - 17. Let n = s - 2.26. Let p = 2.40004 + n. What is p rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let i(h) = h**3 + 6*h**2 + 3*h - 7. Let a be i(-5). Let z be q(a). Calculate the common denominator of z\/15 + (-258)\/160 and 13\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -764d530 + -4?\nAnswer: -764d534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) 11308 (b) -0.2 (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o - 331526 = -331341 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = 20*u + 241 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -109, -244, -433, -676, -973, -1324?\nAnswer: -1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 1. Let n = 347 - 348. Let d(i) = -6*i + 2. Calculate n*d(q) - 3*s(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29380 - -60294. What are the prime factors of z?\nAnswer: 2, 13, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 19, -194, -407, -620?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbobxxbvxvxxvvvvxo. Give prob of sequence xobv.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 2\/11, -16.9, 0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + ((sqrt(270) + sqrt(30))*1)\/(6*sqrt(40))).\nAnswer: -5 - 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -853*s - 56 = -881*s. Let a = 146 - 64. Suppose -3*g + 4*r = r - 54, 0 = -5*g + r + a. Calculate the highest common divisor of g and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.48 + 0.52. Let w be -3 + 4 - 1\/4. What is the second biggest value in w, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**7\/1260 + r**4\/8 - 3*r**2. Let j(i) be the second derivative of h(i). Let f(v) = 2*v**2. Give f(j(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = -9*w + 60*w - 17*w - 630 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -5188 - -5188. Which is the second smallest value? (a) -2 (b) 110 (c) 5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(68) - -2*sqrt(68)) + sqrt(68) - sqrt(68))\/sqrt(4) + 2).\nAnswer: 8 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*a**2*u + 3061*a**2 - 2*u**3 wrt u.\nAnswer: -42*a**2 - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9585*x + 82119 = 8702*x for x.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-seven quarters of a hour?\nAnswer: 1005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 45. Let j be (r - 2)\/((-2)\/(-12)). Let u be (-70)\/(-150) - 2\/j. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (66 - (-1 + -1)). Suppose -5*q = 4*a - w, 4*q = -a + 1 + 51. Suppose -u - q = -2*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*o - 79*o + 105*o as s*o + a and give s.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -280068773?\nAnswer: 280068768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000204938158 to six dps.\nAnswer: 0.000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 314, 309, 304, 299, 294?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 9*y + 7. Let t be q(-7). Let h = t + 0. Suppose 5*n = -2*u - h, 5*u - 3*n - n = 30. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 10:04 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -3369 - 12913. Let d be 7 - (-1 + 5 + -2). Suppose -5996 = -4*t - d*g, -2*g + u = -4*t + 8322. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 4:59 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -v - 6, 3*v + 10 = v - 2*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - x + 3, 79*g - x + 3 = 75*g. Determine r, given that 0*r + g - 4\/11*r**3 - 8\/11*r**5 - 14\/11*r**4 + 2\/11*r**2 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 + 145. Suppose x + 5*j + b = -14, -2*j = 3*x - 1. Let u = 0.3 + -0.1. What is the second smallest value in u, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/36 + (-49)\/9. What is the closest to 2\/3 in -0.28, f, 5?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4018.8492 rounded to the nearest ten?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 7523 = 12169. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 42?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 4*o**2 - 7*o**3 + o**2 + 3 + o + 2*o**4 + 0*o**2 - 2*o**3 in the form a + q*o + m*o**3 + p*o**4 + f*o**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0111 - -228.0111. Let h = l - 217.88. Let n = h + -10. What is n rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*n**3 - 21*n**2 + 21*n**2)*(0*n - 5*n + 4*n)*(0 + 2 + 1).\nAnswer: 84*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4345, -4332, -4309, -4276?\n\"Answer: 5*q**2 - 2*q - 4348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 9*x**2 + 9*x - 5. Let j be a(8). Solve j = -s + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*o - 10880*o**2 + o + 10848*o**2 to the form p*o**2 + n*o + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*i + 322*i - 126*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*u + 7*u - 23944 = 21584. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*n - 7452, 0 = -2*g + 4*g - n - 3726. What are the prime factors of g?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((54\/3)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14175 and 90?\nAnswer: 28350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -114 - -53 - (-1 - (50 - 13))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/6053 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 15) to base 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 72 = -17*g, 2*f + 24 - 26 = -2*g - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123648 divided by 46?\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 243371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61948494223 + 20*z + 61948494223.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9881655 is divided by 1411664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2. Let b(k) = -827*k**2. Give b(z(d)).\nAnswer: -7443*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-2)*(-1)\/1. Let s(f) = -15*f - 170. Let x be s(-11). Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123.914 times 0.3\nAnswer: -37.1742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 61 - 147 = 0. Calculate the highest common factor of 39 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 2*v - 22, -50*v + 55 = -45*v + 5*u for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 95847, -5, 3, -3 in decreasing order.\nAnswer: 95847, 15, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/23283064 and -149\/6847960.\nAnswer: 116415320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + 3 + 27\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**3 + 4*s**2 + 4*s - 1. Let n(d) = 11*d**3 - 9*d**2 - 9*d + 2. Let k be (-160)\/48*12\/(-10). What is k*n(g) + 9*j(g)?\nAnswer: -g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -889, -506, -109, 308, 751?\nAnswer: 1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.136 (b) -0.3 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-8)*12\/660*-10.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 1. Let h be v(0). Let j be (-2)\/(-7) - 120\/(-21). Let u = j + h. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6}. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 2. Suppose 0 = 4*w - 10 + 42. Let v = -6 - w. What is the units digit of l(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79499 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6291145, 25164579, 56620303, 100658317?\n\"Answer: 6291145*u**2 - u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 greater than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -1 (c) -0.3 (d) -11.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-2\/7)*m))**(-20)*m**2\/m*m\/m**(-5))**2)**(-3\/4) assuming m is positive.\nAnswer: m**(-687\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 (base 5) in base 13?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -127 + 120 - (-2*3 + 1). Let p(c) = c - 1. Let u(y) = 108*y - 59*y - 50*y. Determine q*u(j) - 3*p(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 8*l**2 + 1\/6*l**3 - 1\/12*l**4 + l + 0. Does 14 divide o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**6 + 3*d**4*j - 2*d**4 + 4*d**2 - 5*d*j + 14*j wrt d?\nAnswer: 360*d**3 + 72*d*j - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1173 (b) 13\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 34*t**2 + 81*t - 441. Let l be z(32). Solve 2*h = 2*b, l*b - 99*b = -3*h - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 1104 = 25*r - 39*r. What is the smallest common multiple of 64 and r?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 0. Let u be (-2)\/w - 10\/24. Let k = -11027.8 + 11028. Sort u, -6, k.\nAnswer: -6, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1611 = -5*w, -5*v + 816 = 4*w - 1869. What is the remainder when v is divided by 183?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 5\/528 in decreasing order.\nAnswer: 5, 5\/528, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 19*k**3 + 4*k. Suppose 0 = 4*j - n + 16, 6*n = -3*j + 3*n - 12. Let u(m) = 759*m**3 + 161*m. Determine j*u(v) + 161*a(v).\nAnswer: 23*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {u: 1, c: 3, h: 2, a: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 477.1 - 451. Let f = q + -25.8. What is the nearest to 148 in f, 3\/5, -0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -839334, -3357275, -7553844, -13429041, -20982866, -30215319?\nAnswer: -41126400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 178*-2) + 5 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4701*o - 3695*o - 2252*o.\nAnswer: -10648*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 1, x: 6, b: 1, y: 3}. What is prob of picking 1 y and 1 x?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -0.0178.\nAnswer: 0.2178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 33*g + 205. List the prime factors of d(-32).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide -2 + 415329\/21 - (-18)\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 5*p - 9. Let t be x(-3). Let w = 6 - t. Suppose k - 204 = -3*k. What is the remainder when k is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/1453 (b) 0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {a: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**5\/270 + x**4\/36 + 2*x**3\/27 - 3*x**2. Let l(n) = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14539589 + 6725732. Let u = 7813776.000236 + p. Let c = 81 + u. What is c rounded to 5 decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = w - 6*w. Let t(v) = -9*v. Let h(a) = 10*a. Let i(x) = 2*h(x) + 3*t(x). Calculate i(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-5)*(124\/12 + -7). Suppose -p - 2*i - i = -z, 0 = 5*p + 3*i - 20. Let t(m) = 7*m**3 - 2*m + 1. Give t(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 8*z**3 - 17612*z + 19142*z - 1 + 1.\nAnswer: 7*z**3 + 1530*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a - 12*a - 8. Solve -a*j + 5 - 17 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 706.8477 to the nearest ten.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 minus 387?\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, 46, 98, 150, 202?\n\"Answer: 52*g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/9 - 7161\/(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/21)\/((-54)\/(-126))*(-6)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -39*d + 5. Let q(f) = 39*f - 6. Calculate -5*c(b) - 4*q(b).\nAnswer: 39*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 25*l + 24 + 111 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 7*d. Suppose -3*w + 6*w - 27 = d. Suppose -3*n + 145 = -4*v - 75, -5*n + 356 = 4*v. Calculate the highest common divisor of w and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 371\/260 - 7\/260. Let n(b) be the first derivative of 4 + 0*b**4 + 0*b**2 + 7\/3*b**3 + l*b**5 + 0*b. What is the third derivative of n(p) wrt p?\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 563485.5um?\nAnswer: 563.4855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 250054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -915, -2049, -3633, -5667?\nAnswer: -8151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 327157404 + 5?\nAnswer: 327157410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 491 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5822199 to the power of 1\/2, to the nearest integer?\nAnswer: 2413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w - 3*w = 0. Suppose 4*y + j - 3*j - 408 = w, 3*j - 6 = 0. Let i = y + -41. Calculate the smallest common multiple of 9 and i.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjcjjkjjjjjjcjjjj. Give prob of picking 1 k and 1 j.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*u + 36 = -7*u, -h + 3013*u - 9 = 3021*u for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154 - -156. Find the third derivative of -36*d - 6*d**2 - 2*d**5 + 0*d**5 + 40*d + c*d**3 - 5*d**3 wrt d.\nAnswer: -120*d**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384683 is divided by 1775?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 389 - 362. Suppose -g*r + 112 = -23*r. What is the least common multiple of r and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from eyrrooorqqqrr?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t - 2*c, 5*c = -3*t + 4*c - 3. Let q be (-14 + 22)*t\/14. What is the third biggest value in 2\/17, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22652)\/1618 - (-1 + -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583683 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 7*n**2 + 7*n - 5. Let z be h(6). What is the common denominator of (z - (-26 - -2)) + 1 and -23\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3 times 7?\nAnswer: -37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.655 + 2.155. Which is the closest to -0.1? (a) 0.6 (b) z (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f + 6. Let t(q) = 7 - 3*q + 9 + 8 - 26 + 0. Let k(s) = 14*t(s) + 5*u(s). Give k(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 - -113. Let o(i) be the first derivative of -29*i**2\/2 + i + 1. What is the remainder when 118 is divided by o(z)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 54. Let x be (2\/(-6) + 1)\/(14\/o). What is the third biggest value in 1, -0.07, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39 and 159.4.\nAnswer: 6216.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*l = 26, -12 + 6 = 2*l. Suppose -5*r + p*r - 4*n - 15 = 0, 22 = 2*r - 5*n. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times -1995.99?\nAnswer: -105787.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 4*v + 3*v)*(17*v - 3*v - 4*v) - 3*v**2 + 4*v**2 + 0*v**2 + 5*v**2.\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/8)\/((-15)\/140). Suppose 0 = 2*s - 5*n - 1938, -11*s - 5*n - 2917 = -g*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -403 - -1072. Suppose -w = -2*o + 3*m, 4*o - 3*m - 1345 = -4*m. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9457168 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44109*q**2 + 44109*q**2 - 4045*q**3.\nAnswer: -4045*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.211 - 0.111. Which is the nearest to h? (a) 0.01 (b) 0.2 (c) -3\/4 (d) -1\/190\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1428104980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 195*s**2. Let h(y) = -14*y**2. What is -85*h(x) - 6*l(x)?\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*-6*(-12)\/(-180).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148 - 1334\/9. Let u = 4 - 1. Which is the closest to q? (a) 2 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7493 is divided by 3692.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(152) - (sqrt(152) - -2*sqrt(152)*1) - (sqrt(152) - (-2*(sqrt(152)*2 + sqrt(152)) - sqrt(152))))\/(-4*-4*sqrt(32)*-2))**2.\nAnswer: 475\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29973915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most -1.83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-68)\/10*(-96 + 111). Calculate the highest common divisor of 477 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -92b74?\nAnswer: 92b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*t**2 + 312*t**2 + 310*t**2.\nAnswer: 1276*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50274 + 5?\nAnswer: 50301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, -239, 2\/11 in decreasing order.\nAnswer: 2\/11, 0, -0.1, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence issi when four letters picked without replacement from siiiiiiisi.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1136194528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167 + 167. Suppose -3*w + 1124 = 2*t, m*t + 3*t - 1669 = 4*w. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - 6*b + 2*b**2 + 3*b + 220*b**2 - 30 - 219*b**2 + 4 + (-3 + b + 3)*(-5*b + 2*b + 5*b) - 1 + 2*b**2 + 1 to the form t + k*b + x*b**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(68\/96)\/(-17)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 74?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 1508, 3672, 6702, 10598, 15360?\nAnswer: 20988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/120 + 2*o**5\/15 - o**4\/2 - 19*o**3\/6 - 6*o**2. Let f be z(-9). Solve p = -p - f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -6. What is the third derivative of -t*x**2 - 2*x**4 - 6*x + x**4 + 6*x wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*a + 9 = -4*w, -3*a = 3*w + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 244764.\nAnswer: -1\/122382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87428 is divided by 87?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2144*d**2 + 3*d - 10. Let l be t(-11). Suppose -3*q - l = 5*p, -3*q + p = 2*q + 432255. Let n = q + 56452. Round n to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + -5*sqrt(108)*6 + -6*sqrt(108)*1 + 5)**2.\nAnswer: -3888*sqrt(3) + 140045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/5)\/((-20)\/100).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 less than -2113?\nAnswer: -2105.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 29*o - 60. What is the units digit of n(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkx when three letters picked without replacement from eexikeeckek.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33500256 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 218130 divided by 3\nAnswer: 72710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 30 = -3*x, 17*p - 21*p + 24 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 2*(1 - 2). Let g = l - -13. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086192?\nAnswer: 2, 3, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 724278 (b) -5 (c) 3\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = c - 18, -3*c - 2*t - 36 = -5*c. Suppose -3*z - 4*g = 22, z - 4*g - c = g. Let d(v) = -2*v - 2. Let x be d(z). Solve 2*n = -x*n - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -49.7 (b) 3387 (c) -2\/5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/(-318)*-1*4\/(-6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -13. Calculate the smallest common multiple of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/25)\/(-8)*-1*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**5\/20 + o**4\/2 - 2*o**3\/3 - 7*o**2\/2 + 2*o. Let w(s) = s + 1. Let p be w(1). Let m be 10*(p - 3\/2). What is i(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1*a*a*a\/a**(-1\/6)*((a*(a\/(a**(2\/11)*a))\/a)\/a)**(-3\/4) assuming a is positive.\nAnswer: a**(667\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 3. Let v = 5 - i. Calculate the remainder when -8 + v - (-12)\/1 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17124 + 17998. What is the greatest common factor of l and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*l**6 - 8*l**4 - 203*l**3 + l**2 + 1106932*l.\nAnswer: 10320*l**3 - 192*l - 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59458 (base 10) in base 8?\nAnswer: -164102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/2 + 34*w**3\/5 - 217*w**2\/10 - 49*w\/5 = 0.\nAnswer: -2\/5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c - 69. Let x be g(-8). Suppose -33*o + 2111 = 725. Sort x, o, -3\/5 in descending order.\nAnswer: o, x, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 157, 314, 457, 580, 677, 742?\n\"Answer: -a**3 - a**2 + 167*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, 1\/5, 1, 0, 3\/2, -11.41 in decreasing order.\nAnswer: 3\/2, 1, 1\/5, 0, -1.6, -11.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 269599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*b + 2396, -5*b - 16 - 9 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 + -80. Suppose 0 = -5*o + 2*u + d, 1 = -3*o + 3*u + 58. Calculate the remainder when 34 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 16 = -18. Calculate the remainder when (12\/(-10))\/((-3 + t)\/20) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.87, 10\/899, 2\/19?\nAnswer: 10\/899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 11*y**2 + 21*y + 74. Let f be k(13). Let g(x) = 1. Let z(c) = c - 5. Calculate f*g(u) + 2*z(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-9))\/((-3)\/9) - -608. Let p = 617 - j. Calculate the greatest common divisor of 50 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24789?\nAnswer: 3, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/11 + 31\/154. Which is the third smallest value? (a) 4 (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3493*t**2 + 7896*t**2 + 3124*t**2 - 17*t + 18*t to the form s + f*t**2 + a*t and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c + 11. Let f be l(0). Let o(m) = 5*m - 5 - 4*m + 3*m + f. Does 30 divide o(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 20, -5*l + 7*l + 50 = 8*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*1*4\/8. Suppose -5*x - 760 = -5*a, -7 = c*x - 22. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2808378, -2808374, -2808370, -2808366, -2808362?\nAnswer: -2808358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 232783 rounded to the nearest 1000?\nAnswer: 233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 - 6.16. Let i = 8 + j. Let f = 2.0000014 - i. Round f to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1379834, -1379833, -1379832, -1379831?\n\"Answer: n - 1379835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/378 + ((-6)\/7 - -1)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*m = 1029*m - 3*l - 8, 0 = -2*l - 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2557, -2551, -2543, -2533, -2521, -2507?\n\"Answer: m**2 + 3*m - 2561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 52. Suppose -i + 4*l + 20 = -5*i, 3 = -2*i + 5*l. Which is the closest to -1? (a) v (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*o*z**4 + 37407*o - 125*z**4 wrt z.\nAnswer: 172*o*z**3 - 500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34062019457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 - 4*s**4 + s**4 + (62727 - 62727 + 656*s**3)*(-1 + 1 - 2*s).\nAnswer: -1316*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/2))**(-4)*v**(-2)\/v**(2\/5))**(-10))**(-1) assuming v is positive.\nAnswer: v**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 2. Put 2, -0.4, -1, l in ascending order.\nAnswer: l, -1, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -3 (b) -9 (c) -3\/2 (d) 0.27 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 3*w + 4*w + 6*w - 20*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 10 = -2*p, 2 + 5 = 3*p + k. Let m(x) = p - 68*x + x**3 + 6 + 70*x + 9*x**2. What is m(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2837882mm to meters.\nAnswer: 0.0002837882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5 + 2*v**4 - 323*v**3 + 2412*v**2 - 3564*v = 0. What is v?\nAnswer: -22, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1036*o - 1034*o = -5*b - 20, o + 7 = -b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - 3.98. Let r = 1 + -4. Sort o, r, 0.4 in descending order.\nAnswer: 0.4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15367 and 254?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, o: 14}. What is prob of sequence eoeo?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t = 5*t + 99 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656 = 11*h - 634 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c + 15 = 25*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3473883 kilograms in tonnes?\nAnswer: 0.0003473883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*r**5 - r**5 + 0 + (-6*r**5 - 4*r**5 - 3*r**5)*(3 - 2 - 3) - r**5 - r**5 + r**5 + 2*r**4 - 2*r**4 - r**5 + (-4 - 1 + 3)*(0*r**2 - r**5 + 0*r**2).\nAnswer: 28*r**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 13. Let i be y(-4). Find the common denominator of (-66)\/(-8) - i\/6 and 25\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*c = 718, -c + 6*c = k - 359. Let u = -244 + k. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -4. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -2, 6, -29, 3, -35.\nAnswer: -35, -29, -2, 3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*c + 747772 = 0, -14*c = 2*t - 10*c - 373886. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94602 and 6306?\nAnswer: 99426702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + i + 28 - 24 = 0, -754*v + 79*v + 5*i + 2175 - 5530 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2061*s + 283*s**4 + 199*s + 825*s wrt s.\nAnswer: 3396*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.050176084 + 0.696902986. Let w = b - 0.857079. Let t = w - -0.11. Round t to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 28*d - 2. What are the prime factors of k(17)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (72 - (-12 + 0 + 36)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 22*w**2 - 2*w + 51. Let c be o(22). Let f(q) = -2*q - 5. Let z be f(-5). Solve -2*j + y - c = 0, j + z*y - 24 = -0*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/6 + b**3\/6 + 13*b**2\/6 - b\/6 - 2 = 0. Calculate b.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15175?\nAnswer: 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + y - 1. Is a(-10) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 17. Suppose -4*v + 5 = -4*b + 17, f*b = 5*v + 11. What is the derivative of -6 - 4*u**b + 0*u**2 + 1 + 0*u**2 wrt u?\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 21*s + 8. Determine j(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/12 (b) 3\/25 (c) 3\/41 (d) -2\/5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -654 + 213. Let p = -1777\/4 - z. Let w = -43\/12 - p. What is the second smallest value in w, 1\/11, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 7*p**2 + 4*p - 10. Let h be n(-6). Calculate the greatest common factor of 22 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/sqrt(8)*4)\/sqrt(5).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (5 + (-2 - 8) + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352 a factor of 82261634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 786 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4094\/45 or -91?\nAnswer: -4094\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50 - 3032*g**4 - 2*g**2 + 2868*g**4 - 2*g**2 + g wrt g?\nAnswer: -1968*g**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -18 + 6. Determine f so that 1\/4 - 1\/4*f**l + 1\/4*f - 1\/4*f**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2189*d - 61308. Calculate u(28).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.2 (c) 5\/38 (d) -1 (e) -2 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2480)\/558)\/(-20))\/((-16)\/9).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 33. Let c be b(43). Let s = -1 - -12. Let y = s + c. Let h(m) = m + 1. Let k(j) = 2*j + 1. Determine y*h(o) - k(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l + 472 = 0. What is the units digit of l\/(-10)*-12*15\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(1134\/(-27))\/(-5166)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73589007 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 4\/4 + -2. Let f = -13 - -8. Which is the nearest to 0? (a) 1\/10 (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -682436, -682590, -682744, -682898, -683052?\nAnswer: -683206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 4*w = 0. Let d(j) = -j**3 + 2*j**2 + 5*j - 4. Let u be d(3). Suppose -2*s - 7 = -k - 15, -s + 13 = 4*k. Solve w = -u*b - k*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -77, -5, -1 in decreasing order.\nAnswer: -1, -5, -22, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 88599?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - f + 58, 0 = 4*n - 3*f - 102 + 16. Suppose n = -4*v, -5*l - 2*v + 14 = -2*l. Find the first derivative of -5*b + 8 - 5*b - l*b wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369222 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09257 in -3, 2\/11, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 3796?\nAnswer: 18980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by 1.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -2. Let p = 9 + x. Let u = -6 + p. What is the closest to u in 4, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2378 and 50\/8979.\nAnswer: 520782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5156, -10315, -15474, -20633?\nAnswer: -25792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 706?\nAnswer: 705.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-10)*660\/88)\/(-2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/154 and 55\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-31 - -27)*(-1)\/4. What is the tens digit of -6*i*1\/((-8)\/1056)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.50488 and -367.28.\nAnswer: -366.77512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102465)\/(-30))\/69*2\/18.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 51 = -5*c, 9 + 24 = c - 4*d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 34977070 to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 348842335 a multiple of 3166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*o**6 + 3*o**5 + 62*o**2 wrt o.\nAnswer: 11880*o**3 + 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 194\/7, 4\/7, 2\/9, -4, -6, 23?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 2. Let z(m) = 200378*m**2. Calculate o(z(j)).\nAnswer: -400756*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((2 - 30)\/(-21 + 15))\/(4\/12). Solve l = h + 2*h + u, -4*h + 6 = -5*u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 227*b*s**4 + 29*b*s**3 + 7*b*s**2 + 4*b*s - 9376*b - 2*s + 1 wrt s?\nAnswer: 5448*b*s + 174*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -6*r**5\/25 - 23*r**4\/10 - 28*r**3\/15 + 108*r**2\/5 + 144*r\/5 - 1071. Determine c, given that s(c) = 0.\nAnswer: -6, -3, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*y - 4)*(-7370 + 221*y + 3691 + 3691) to t + n*y + j*y**2 and give j.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 4*p - 6. Suppose 4 = 2*o - 0*o. Let v be 2*3\/o + 3. What is the units digit of h(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847 is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 10*l**2 + 9*l + 1. Let z be r(9). Suppose -2*w - 159 = -c, -z = -4*w + 3. Suppose c = 4*x + u, 4*x - 6*x + 4*u = -58. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -133bd?\nAnswer: -133c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(sqrt(6) - sqrt(54))*2)\/(sqrt(16)\/(sqrt(8)*4) - (sqrt(2) - (sqrt(2) + sqrt(2)*-2*-6))).\nAnswer: 192*sqrt(3)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -642351, -1284697, -1927043?\n\"Answer: -642346*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 126 = -4*s. Suppose 17 = -u + s. Solve -k - 15 = -5*m - 2, -2*k - 5*m = -u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -3374693\nAnswer: -3\/3374693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3dc8 (base 15) to base 14.\nAnswer: 4b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(405) + sqrt(405) + (sqrt(405) - (sqrt(405) - sqrt(405)*-2) - sqrt(405))*-3)\/(sqrt(9) - sqrt(900)*2))*3.\nAnswer: 297*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 + 0.11. Let s(t) = t - 48. Let a be s(0). Let m be (-4)\/3*(-1)\/(a\/(-20)). Put 2, m, q in decreasing order.\nAnswer: 2, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174902 + -1572244\/9. Let n be 3740\/(-18) + 1\/(9\/(-2)). Let x = n + v. Which is the second smallest value? (a) -1 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z - 66 = 0. Let a be (2\/3)\/(z\/9). Let w be (-2)\/(-4)*(5 + -5). What is the nearest to w in 3\/2, -2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*y = -549*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 2\/75421, 3\/8, 0.1 in descending order.\nAnswer: 21, 3\/8, 0.1, 2\/75421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*g**2 - 10\/3*g + 2\/3*g**3 + 0.\nAnswer: 2*g*(g - 1)*(g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2159360)\/(-6002105) - 34\/4981.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u + 120 = 29*u. Let n = 23 - u. Solve -k = n*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*z = 550*z + 22258 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + 3.07. Let j = n - 0. Let v = j - 4. Is 0.2 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -4, -5, 1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22 + -9?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -13. Suppose b = 18*d - 3123 + 405. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 8. Let f = 289\/7 - 41. Let t = -0.4 - -5.4. What is the nearest to f in -2\/3, v, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1467 - -1656.6. Let r = o + -174. Round r to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 855\/83 or -5.8?\nAnswer: 855\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2080760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6644 divided by -1156?\nAnswer: -1661\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3744635, 7489266, 11233895, 14978522, 18723147?\nAnswer: 22467770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**3\/3 + 1721284*v**2\/3 + 370355768626*v\/3 + 1481395534088\/3 = 0.\nAnswer: -430319, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -50 + (53 - 19) + -1 + -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 1. Let t(x) = 6*x - 4. Suppose 3*w - l - 8 = -0*l, -w = -2*l - 11. Let h(q) = w*t(q) + 4*m(q). Let z(g) = -29*g**2. Calculate h(z(a)).\nAnswer: -58*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101100 - 11111110?\nAnswer: 111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131003 - -31133?\nAnswer: 222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 18*a**3 - 10*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 69, 102?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 6:17 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/15)\/(259\/(-777))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15853 + -7447777.\nAnswer: -7431924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 5*z - 82 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - 59*z**2 + 3*z - 1. Let b(h) = -6*h**3 - 117*h**2 + 7*h - 2. What is 2*b(a) - 5*o(a)?\nAnswer: 3*a**3 + 61*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 24. Suppose -4*m = k + 571, -c*k - 843 = m + 320. Let u = 1085 + k. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*r**3 - 29*r**3 - 2*r**2 - 4*r**2)*(6*r + r + 3*r) in the form s + t*r**3 + h*r**4 + n*r + u*r**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 2097*i**4\/2 - 9479*i - 6710. Differentiate k(s) wrt s.\nAnswer: 12582*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 - 132*f**3 + 2500*f**2 + 15300*f.\nAnswer: -4*f*(f - 17)*(f + 5)*(f + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 160058410*z**2 - 160058409*z**2 - 5*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/9333 and 95\/43066.\nAnswer: 6589098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - j + 0*j**2 + 1 - 4*j**3 - 5*j**3. Let p be (1 - (-7)\/(-19 + 5))*2. What is l(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/184623 and -101\/409773.\nAnswer: 16800693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.1, 1\/8, 4, 4.41, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(1\/2)*u)\/u)\/u)\/u*u)**(2\/29)\/((u*u**(-1\/2)\/u*u)\/u**(1\/6))*u*u**(-1\/9)*((u**(1\/4)\/u)\/u)\/u*(u*u**0)**(2\/17) assuming u is positive.\nAnswer: u**(-37471\/17748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 10*r - 5. What is the smallest common multiple of t(-8) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 115754251 and 209?\nAnswer: 1273296761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-9)*3)\/((-3)\/189). Let n be 60\/14 - 6\/b. Solve -13*w + 6 + 4*w - 4*w**2 + 3*w**2 + n*w**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 126, 193, 314, 495, 742, 1061, 1458, 1939?\n\"Answer: y**3 + 21*y**2 - 3*y + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 9*n**2 + 9*n + 7. Suppose -3*w - 377 = -5*x, 6*w = w + x - 599. Let m = w - -111. Determine f(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 2. Let l(b) = -3*b - 5. Suppose -145 = -251527*c + 251498*c. Let m be 2 + -1*0\/3. Give c*t(s) + m*l(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*k + 208081 = -210*k - 3*m, 4*m = -4*k + 208088. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k**2. Let l(m) = -3*m + 10. Give l(i(r)).\nAnswer: -30*r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*a + 2*b - 29105 = 146*a, 0 = 3*a - 4*b - 87295. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -3 + 0*z**2 - 1\/3*z**3 - 3*z. Let t(u) be the first derivative of f(u). Let i(a) = -a. Give i(t(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23988*i**2 + 99560 wrt i.\nAnswer: -47976*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/20)\/((-168)\/700)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, 5, 1, 76, -3\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 7*x**2 + x + 9. Let f be u(-7). Let h(b) be the second derivative of b**3\/2 + 11*b**2\/2 + 118457*b. Let o(s) = -s - 5. Give f*h(k) + 5*o(k).\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_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: What is -20.95 plus -0.00332?\nAnswer: -20.95332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52649, -105300, -157953, -210608, -263265, -315924?\n\"Answer: -l**2 - 52648*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 15. Let l be y(0). Let o = l - 11. Let x(b) = 2*b**2 - 2*b - 17. Let m(r) = r**2 - r - 9. Let c(f) = 7*m(f) - 4*x(f). Calculate c(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 23. Suppose 0 = 7*w - 10*w + r. Suppose -w*o = -168 - 137. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 281, 578, 899, 1250, 1637, 2066, 2543?\n\"Answer: z**3 + 6*z**2 + 272*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d0354 - 2?\nAnswer: -3d0356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 9 = 149 - 18. Solve -3*r + p = -10, r + 0*r = 2*p - n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82500 = 3*j - 0*j. Round j to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*a + 3*v, 2*a - 2*v = -6*v + 2*v + 56 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22973*r**3 - 61005*r**2 + 30500*r**2 + 30505*r**2.\nAnswer: 22973*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*h + 7*h - 160556. Does 89 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059 less than 514907326809?\nAnswer: 514907326809.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -29*o - 38. Let h(m) = -1. Let k(p) = -6*h(p) + u(p). Let y(c) = c + 1. Let l(n) = k(n) - y(n). Find the first derivative of l(x) wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvmmvvvvvmqvqvvq. What is prob of picking 1 v and 3 m?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (12 + -6 + -1)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -839\/224263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*t + 95. Let j = -17 - t. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*n + 5. Suppose n*v = 4*i + 9, 4*v - 6 = 2*i - 4. Which is greater: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 25064, 238, 0 in increasing order.\nAnswer: -4, 0, 238, 25064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*n = 47, 4*b - 2*n - 192 = 2*n. Let s = 51 - b. Find the first derivative of 15*d**s + 14 - 21*d**2 + 16*d**2 wrt d.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86.1 - -103.85. Let u = -17.74996564 + n. Round u to 6 decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2 + 2. Let o(y) = -1 + h - 5*y**2. Let n be o(-1). Which is the closest to -0.1? (a) -1 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktppdyy. Give prob of sequence yyk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 4*i = 25. Let n(x) = -2*x + 12. Let m be n(i). Suppose -5 = r - m, 2*c - r = 265. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/12 + l**4\/2 - l**3\/6 - 41*l**2. What are the prime factors of m(5)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 138?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8869656 - -2?\nAnswer: 8869658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -16*z**2 + z**3 - 1 - 2*z - z**2 + 5*z. Let v be c(17). Suppose -3*x + v = -217. What are the prime factors of x?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 2*d + 0*d)*(38*d**2 - 4*d**3 - 38*d**2) - d**4 + 0*d**4 - 2*d**4 to j*d**2 + v*d**3 + w*d**4 + f + i*d and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-16))\/((-15)\/(-40)*4)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 518, 518, 510, 488, 446?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 468 + -463. Let h = 55 - 33. Let g = h - 22. Which is the second smallest value? (a) -5 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2. Let p(b) = -2*b**2 - 6 + 6 + 5*b**2. What is a(p(u))?\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 546001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1027 and 650.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from pybwpwmywly.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p - 10*p + 36 - 34. Let v be (-66)\/(-10) + (-2)\/(-5). Determine o(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 7*n - 86 = 0, 3*q - 30*n + 32*n = 30 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**6 - 671*j**5 + 2*j**4 - 7*j**2 - 13*j - 1 wrt j?\nAnswer: 240*j**3 - 40260*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(((sqrt(700) - (1 + sqrt(700)*-1)) + sqrt(700))**2 + sqrt(700) - sqrt(700)).\nAnswer: -37806 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 910837.9 litres?\nAnswer: 910837900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223 - 223.113. Let y = 0.613 + t. What is the second smallest value in -2\/7, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 + 27*f**2 - 34 + 25*f**2.\nAnswer: 42*f**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 6. Let a(g) = g - 5. Let j(z) = 5*a(z) + 4*n(z). Let c(h) = 2*h**2 + 2*h - 5. Suppose -2*w - 3*w = 5. Determine w*c(s) + 4*j(s).\nAnswer: -2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -8. Suppose 5*g = m*g - 176. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1515 + 2249. Let g(q) = -41*q**2 - 4. Let f be g(7). Let r = y + f. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.1632318 and 1018832.\nAnswer: 1018830.8367682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/42 and 67\/1032.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 66. Let o be ((-7)\/4 - j)*-2. Suppose 0 = 2*m, -4*q = -q + 4*m + 36. Which is the biggest value? (a) -0.4 (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(2\/27)*l*l)\/l)\/((l\/l**(2\/15))\/l))\/(l**(2\/3)\/l*l**1))**(1\/15) assuming l is positive.\nAnswer: l**(73\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzz when three letters picked without replacement from {z: 5, m: 9}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-182)\/(-5 + 3). Let x = -100 + r. What is the closest to -2\/9 in 4, -2\/13, x?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**8\/756 - i**7\/189 + i**6\/180 + i**5\/270 - i**4\/108 - 27*i**2. Suppose k(p) = 0. Calculate p.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302639276 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 152*g**3 + 475*g**2 - 1550*g.\nAnswer: -g*(g - 155)*(g - 2)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**9\/1512 - g**7\/420 + g**4\/6 - 10*g. Let c(q) be the third derivative of r(q). Find the third derivative of c(u) wrt u.\nAnswer: 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*b**5 - 51 + 51 - b + b + b**5 + (-2*b**5 - 2*b**5 + 3*b**5)*(-21 + 1 - 13).\nAnswer: 47*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 11\/60*b**5 + 1\/6*b**3 + 0*b + 1\/12*b**4 + 6*b**2 + 0. Determine p(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -828, -1045, -1262, -1479?\nAnswer: -1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**4 + 2*i**2 + 4*i**4 + 2*i**3 - 8 + 73 + 4 in the form f + a*i**2 + d*i**3 + u*i**4 + t*i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116 less than 0.25?\nAnswer: 0.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2 - 6. Is 10 a factor of d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 106561080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*sqrt(1872) + sqrt(1872))*3.\nAnswer: -15 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 3*c**2 + 8*c**2 - c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-31 - -17)\/84)\/((-8)\/(-12))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5474444 to the nearest integer?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 50*y - 9007. Determine l(180).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - l - 24 = 2*l, -3*y - l = -31. Let k = y + -8. Let p = 6 - 5. Which is the nearest to k? (a) -5 (b) p (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/2 + (96 - 5). Suppose 4*m - k = 351. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*7*(-6)\/(-21). Let k(p) = -21*p**2 + 12. Let f(c) = -1. Let o(a) = y*f(a) - k(a). Let i(t) = t. Determine o(i(x)).\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10673123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14428 take away 0.01?\nAnswer: -14428.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8d - -c4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 164228918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 12*m**3 + 2 + 0*m - 1\/2*m**2. Is 12 a factor of x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - (-197)\/5 - 14\/35?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 3*a**3 - 4*a**3 + (0*a - 2*a**3 + 0*a)*(-1 - 1 + 3) - 5*a**3 + 2*a**3 + 2*a**3 + (1 - a - 1)*(-2673*a**2 + 287553*a - 287553*a).\nAnswer: 2668*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-192)\/(-18) - 25742\/(-366).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 364 - 315. Solve -5*j - 24 + o = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o - o)*(1 + 0 + 0 + (2 - 2 + 1)*(3 + 0 - 2)) + (-104 + 2 + 46)*(-3*o - 2*o + 0*o).\nAnswer: 276*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 2. Let s(x) = 5*x**2 + 5. Let w(l) = -5*n(l) + 2*s(l). Let z be w(-1). Which is bigger: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -134*g + 133*g + 439. Calculate the remainder when g is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2409\/3683 + 13\/127. Sort 1, -2, m, 2\/3.\nAnswer: -2, m, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*r + 88*r - 3*c - 41 = 0, 0 = 3*r + 3*c - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 67, 75, 81, 85?\n\"Answer: -f**2 + 11*f + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.026, -0.8, -12, 2\/5.\nAnswer: -12, -0.8, 0.026, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 2:05 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5280 = 100*p - 276*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.27 + -10.79172. What is b rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12612.41 and 0.0193.\nAnswer: -12612.3907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4311066 (base 12) in base 3?\nAnswer: -212220212220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*c. Suppose c*v = -3*v + 9. Do v and 3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -18 - 46. Suppose 5*y + 21 = m*z, z - 1 = 3*y - 6*y. Sort 1, y, 4, 7.\nAnswer: y, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 20. Let q = 30.99864 + b. Round q to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 35780025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/236*(-5376)\/6048\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -41, -45, -49, -53?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voary. Give prob of picking 1 y and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -7\/8*g**2 - 9\/4*g + 0 + g**4 + 17\/8*g**3 = 0.\nAnswer: -2, -9\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 0*r - 2 - 2*r - 12*r. Suppose -14*c + 24 = -18*c. Is t(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 0 + 0 + (v**2 + 0 + 0)*(-4 + 1 + 1) + v**2 - 2*v**2 + 0*v**2 + 4*v**2 + 0*v**2 - 3*v**2 + (v - v + v)*(4*v - 4*v - v) + 2*v - v**2 - 2*v.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 4*b**2 - 2*b - 4. Let a be k(-4). Suppose -23 = -3*i + 2*x + 3*x, 2*i + a*x + 14 = 0. Put 3, i, -4 in increasing order.\nAnswer: -4, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-45))\/((-39256)\/(-50472))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150 - 148. Find the third derivative of -32*z**3 + 22*z**2 - 47*z**2 + 5*z**g + 69*z**2 wrt z.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4*w + 6 + 26, 35 = 4*g + w. Suppose -6*j - 9 = g. Let a be (-6)\/(-12) - (-5)\/(-18). Is j greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 326*q**2 + 9769*q - 310. Give d(-30).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + i = 1, -4*i = 4*q - 5*i - 1. Let m(b) = b**3 - 2*b + 2. Calculate m(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (1 - -1) + 5. Suppose 12 = -3*x + 4*x + 2*r, -x + 2*r - 8 = 0. Suppose -3 = x*p - 11. Solve -c - p*c = -y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 528759467.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58669145 and 2650.\nAnswer: 586691450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -401 + 2433. What is the greatest common factor of 48 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * 1.12.\nAnswer: 3.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Let i(l) = -5*l - 1. Let w be ((-3)\/(-3))\/(7\/(-11 + 4)). Give w*i(q) - 2*k(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**2 - 30*p + 7. Let i(m) = 4*m - 14. Let u be i(5). Let a be s(u). Is 0.1 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-8)*7480\/(-425)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + y - 2)*(y + 0*y + y + 1 - 1 - 2*y + (-5 + 2 + 2)*(y + 0 + 0))*(2325*y - 726*y + 2006*y) to b*y**3 + u + n*y + l*y**2 and give b.\nAnswer: -3605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1619, 12870, 43355, 102674, 200427, 346214?\nAnswer: 549635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2659 rounded to 2 dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 91981635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55203 (base 6) to base 16.\nAnswer: -1dd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -9, 0 = 4*w - 7*h + 2*h - 30541. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24222 and 2144.\nAnswer: 25965984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3811503796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f = -4. Let c = f - -16. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -922 (base 10) to base 2\nAnswer: -1110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 1 - 1 - 3*u + 0*u + u + (-3 + 6 - 2)*(-2*u - u + 2*u) - u + 1 - 1 - u + 4*u + 0*u + 3*u + u - 3*u)*(-9*u + 3*u - 3*u)*(8 + 8 - 8).\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/45*(130\/(-4))\/(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 623678083 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from llccclclclll?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {p: 9, d: 1, b: 10}?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -243 + 245. Solve -18*y = -20 + j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3667064057023 + 22.\nAnswer: -3667064057001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 - 4*r**4 + (-r**2 - r**2 + r**2)*(-r**2 + 0*r**2 + 0*r**2) - 2*r**4 + 4*r**4 + 0*r**4.\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 2) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.6 - 0.6. Let x = -7 + t. Let r = 0.4 + -0.6. Which is the biggest value? (a) x (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2\/(l**(-3)*l)*l*l**(-1\/2)*l**4)**16 assuming l is positive.\nAnswer: l**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 16, 4, -26, -80?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2211 + -2187. Calculate the lowest common multiple of o and 332.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -437 at most as big as -31030\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + (16\/(-64))\/((-2)\/88). Solve -12*q - 26 = -x - 17*q, u = 3*q - 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssewwwwswwwwwwwssss?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*p - 1868*p - 9463 = -57043 - 66420 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 396*f**2 - 239*f + 31628. Calculate l(-199).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 equal to 60\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 16 in increasing order.\nAnswer: -1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25313552 and 704.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 6*y + 2. Let f(v) = -v - 6. Let m be f(-8). Suppose 2*h - m = 4*h. Let u(q) = -q**2 - q. Determine h*n(w) - 4*u(w).\nAnswer: 2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1613500 and 22128?\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 24*r**2 + 24*r - 22. Let p be x(23). Solve 4*m - p - 11 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*g + 5*m + 6 + 23 = 63*g, g + 7 = -m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in -5, -1.4, -3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*u - 181 + 186 = 0, -6*u - 12 - 13 = -5*f - 4 - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -14614*p + 233859. What is m(16)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 533*d - 5709 = 0 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 + 31*p**2 - 22*p + 5. Let s(q) = -q**3 + 16*q**2 - 11*q + 3. Let w(l) = -7*s(l) + 4*u(l). Give w(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 12:23 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 21*n**2 + 25*n**2 - 6*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 2) + (-204)\/153. What is the nearest to 4 in p, 2\/5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8224137?\nAnswer: 3, 43, 79, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -16. Suppose -u*l = -l. Suppose l = v - 15 - 2. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1865, 1494, 1123?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/21*(-4)\/(-6). Let q = 452 - 452.1. What is the nearest to q in 1\/9, -1, n?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((0 + sqrt(125))*-4 - sqrt(125))*2 + -3 + 1)**2*6.\nAnswer: 4200*sqrt(5) + 75294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 13. Suppose 4*c = u*c - 24. Let r = -5 + 11. Calculate the greatest common divisor of r and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4887 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -731, -795, -859, -923, -987, -1051?\n\"Answer: -64*z - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3427 + -3415. Let j be (-2)\/(-5) + 8\/5. Suppose -3*f + 10 = g, -f + 0*f + j*g = -8. Solve 4*s + d = -f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w. Let i(d) = d - 3. Let u be i(2). What is a(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*t - 16, -7*f = -2*t - 2*f + 8. Suppose 6*g - g - 45 = -3*b, -5*g + t*b = -80. What is the greatest common divisor of 8 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*s - 31 + 8, 2*x = -4*s + 22. Suppose -x*y - 15 = -60. Solve -15 + 0 = -y*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.64 + -0.36. Put 0.2, 2\/7, n in decreasing order.\nAnswer: 2\/7, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -56, -129, -232?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 - -3 - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -52*u - 242*u**3 + 115*u**4 + 189*u**2 - 35*u**4 + 5 - 1 = 0.\nAnswer: 1\/8, 2\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5 + 0*r + 0*r - 3*r. Suppose -2*o = -5*p + 7, -4*p + 4*o = -2*p - 6. Let m(z) = -z - 1. Determine p*j(s) - 4*m(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*a - 108 = 0, 2*f - 5*f - 61*a = -57*a - 50 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icciiphciipcp. What is prob of sequence pppi?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:56 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**4\/8 - 3*a**2\/2 - a. Let d(n) be the first derivative of f(n). Let q(b) = 3*b**2. Give q(d(y)).\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = -2. Solve a + f*a = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6914062 <= -6914062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15878128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1976846, -7907335, -17791490, -31629317, -49420822, -71166011?\nAnswer: -96864890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 2*d + 1. Let m be p(1). Let o = 3 - m. Suppose -c + o*c - 2 = 0. Calculate the lowest common multiple of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62635623?\nAnswer: 3, 20878541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 141. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from qmofy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**3\/3 - a. Let t(h) be the third derivative of -21*h**2 + 0*h + 1\/6*h**4 + 0*h**3 + 2. Calculate n(t(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 201, 388, 573, 756?\n\"Answer: -u**2 + 190*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -399*h + 379*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 - 10*h + 4. What is i(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 82\/(-7) - -6*(-5)\/105. Suppose -5*h - 15 + 60 = 0. Let x = d + h. Sort -5, x, -4 in decreasing order.\nAnswer: x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*0*(-1)\/3. Let q be (-9)\/(-3) + (-3 - 8\/(-68)). Is d at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125753, -124159, -122565, -120971?\nAnswer: -119377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2930 divided by -5?\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -87 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 605*s + 12. Let h(q) = 610*q + 15. What is -5*h(a) + 6*z(a)?\nAnswer: 580*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t. Let w(l) be the third derivative of l**8\/4032 - 11*l**5\/60 - l**2. Let b(q) be the third derivative of w(q). Determine f(b(v)).\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3223*n**2 - 16*n + 4. Is s(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 19, 47, 99, 181, 299, 459?\n\"Answer: q**3 + 3*q**2 - 6*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 34 - 4\/2. Suppose 6*s + 36 = 4*s + 4*h, -2*h - 62 = 4*s. Let b = t + s. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-7)\/(28\/(-3))). Suppose -4*a + 316 = b*h, -5*a - 187 = -5*h + 168. Suppose -2*t = f + 4*f - h, 0 = t + f - 45. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 7*a + 23 = 8*s + 24, 6*a - 2*s + 20 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85867.74 micrograms to grams.\nAnswer: 0.08586774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3637 divided by 1?\nAnswer: -3637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -267.7 + 267.3. What is the smallest value in 30\/7, 7, -3\/5, n?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 * -0.2026625\nAnswer: 24.3195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -65*g + 70*g. Suppose -5*f = -3*h + 522, 3*h - 3*f + 329 = 5*h. Calculate the greatest common factor of g and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 8*w - 9. Let b be o(-6). Let z be (3 - 0) + (b - 1). Let h(k) = k. Calculate h(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -l - 4*l - 5*x, -2*x + 7 = 5*l. Suppose -l*n + 6*n = 15. Let f(b) = -b**2 + 4*b + 9. Let k be f(n). Calculate the highest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 45 = 4*q, -a - 25 = 2*q + 2*q. Let k be (-2846)\/10 - (46\/(-10) - q). List the prime factors of k\/9*6\/(-2) - 0.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -455, -916, -1387, -1874, -2383, -2920, -3491, -4102?\nAnswer: -4759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**2 + 6*n - 6. Let k(f) be the second derivative of 3*f**4\/4 + 11*f**3\/6 - 11*f**2\/2 - 16*f. Determine -6*k(o) + 11*x(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1 - o**2 + 2*o - 2*o. Let k = -43 + 43. Let z be w(k). Which is the second smallest value? (a) 0 (b) -4\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n - 1. Let y = 4 - 0. Let d(f) = 6*f + 1. Suppose 0 = -g + 6*g - 15. Calculate g*d(s) + y*l(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -731 and -3735.4.\nAnswer: 2730577.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**4\/12 - 2*x**3\/3 + 4*x**2. What is the smallest common multiple of z(-6) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132361305 + 53?\nAnswer: -132361222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 116790437 a multiple of 1362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 712 + -677 + (-106)\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50481 is divided by 2403?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 319049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12483618 + 35465618. Round c to the nearest one hundred thousand.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -411 + -3012350?\nAnswer: -3013061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 208553*y**2. Let f(t) = -80*t**2. Determine f(c(n)).\nAnswer: -3479548304720*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 5:30 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = 5*w - 35, 6 = -w - 4*l. Let t be (0\/(-1))\/(4 + -2). Let z be (-3)\/(-1*(-3)\/(-2)). Solve -z*d + t*d = -w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7 and 0.09261?\nAnswer: 0.79261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19681 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 - 52*d - 637. List the prime factors of p(49).\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Let x = 25\/16 + 85\/16. Find the common denominator of (-29)\/b*1\/(-10) and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 2*n - 12 = 12*m, 0 = -6*m + 3*n + 15. Let h(z) = -4*z**2 + 8*z - 2. Give h(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (216\/(-756))\/(1*4\/(-266))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -27\/1007?\nAnswer: -27\/1007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/296 and -1\/304436.\nAnswer: 608872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.16 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*j + 4*c, 3*c + 14 = -3*j + 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006034356 rounded to 4 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48447*g*l**3*u**2 - g*m*u + 3*g*m + l**3*m*u**2 - l**3 - 12*l**2*u - 2*l*m*u wrt u?\nAnswer: 96894*g*l**3 + 2*l**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 + 3. Let i(g) = 440102*g + 440097*g - 880197*g. Give i(f(z)).\nAnswer: -8*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 91, 221, 451, 811?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12888 - 154537\/12. Let b(i) = i**3 + 7*i**2 - 6*i + 7. Let v be b(-8). What is the common denominator of (149\/v)\/(-1 - -3) and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2034*u + 867*u - 1491*u - 633*u - 1042*u in the form z + x*u and give x.\nAnswer: -4333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12614 is divided by 6250.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1131*p = 1125*p + 24. Let u = -2 + 2.1. Sort u, -4, p, 3\/2 in ascending order.\nAnswer: -4, u, 3\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = -3*s, 0*a + s = 3*a + 1. Suppose 2*b + 4 = -a. Let k be ((-9)\/b)\/((-2)\/(-24)). What is the highest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 788410.4 kilometers?\nAnswer: 788410400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, i: 2, s: 2}. What is prob of sequence zizs?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -196, -370, -640, -1036, -1588, -2326, -3280?\nAnswer: -4480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s**(-1\/3))\/(s**1\/(s\/(s*s\/(s*s**(4\/9)*s))*s)) assuming s is positive.\nAnswer: s**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**2. Let g(o) = -3*o**2. What is g(a(u))?\nAnswer: -75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 < 0.0552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9961609 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/5)*j\/j**(-2)*(j\/j**1)**(6\/19))\/(j**5*j**(-5))**(2\/3) assuming j is positive.\nAnswer: j**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52387*d**5 - 5*d**3 - 944797*d**2?\nAnswer: 3143220*d**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-1)\/(-1))\/(29\/(3393\/(-26)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -817*z + 316*z + 501*z + 2512*z**3.\nAnswer: 2512*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43307 minus 10633?\nAnswer: 32674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiikiikkkikkk. What is prob of sequence ik?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*c + 46 = 0, 5*n - 2*c - 38 = -0*n. Is (759\/n)\/(2\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 81, 5, 3, -4, -2, -5 in descending order.\nAnswer: 81, 5, 3, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*t**3 + 122*t**3 + 3613233 - 3613233.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 0)*(3 - -86). Suppose -348 + o = v. Sort -6, v, 4 in increasing order.\nAnswer: -6, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 7*t**2 + 2. Let f be y(-7). Suppose 4*k - 179 - 109 = 0. Suppose -3*g + 5*r = -8*g + 130, 3*r = f*g - k. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11167 is divided by 8956.\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 8:08 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/4)*m)\/m)\/(m\/m**(1\/11)))\/(((m*m*m\/(m**(-15)\/m))\/m)\/(m*m**(-13))) assuming m is positive.\nAnswer: m**(-1305\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + w + 1. Let p(y) = -4*y - 4. Let r(u) = 3*p(u) + 12*v(u). Let z(m) = -m - 55 - m + 55. Give z(r(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58042116157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36571657 rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 9*i + 0*i**2 - 2*i**3 - 2 - 9*i to w*i**3 + n*i**2 + d*i + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -65*o**2. Let v(d) be the third derivative of d**5\/30 + 11*d**2. Calculate v(p(s)).\nAnswer: 8450*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n + 14. Let d(h) be the first derivative of -6*h**2 - 15*h - 5. Let t(v) = -6*d(v) - 7*f(v). What is the first derivative of t(j) wrt j?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4784 + 4806. Solve 174 = -7*y - x*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-824 + 15*b + 824)*(-2705*b + 85*b**3 + 2705*b).\nAnswer: 1275*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 124?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 212310074 to the power of 1\/2, to the nearest integer?\nAnswer: 14571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 124 = 4*o + l, 5*o - 2*l = 155. Let n = o + -27. Suppose 2*m + n*b - 93 = 51, 3*m + 3*b - 216 = 0. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -537?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h - 47*n + 50*n = -111, -h - 4*n - 15 = -7*n for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*g - 419 = -170*g - 45 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Let h = 34.988 + 0.012. Let n = h + -34.6. Which is the second biggest value? (a) n (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = -17*d - 4*f, -123*f - 130*f - 126*f = 2*d - 378*f + 27 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1631030.0075 - -1633088. Let g = r + -2052. Let t = 6 - g. Round t to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-112)\/(-6)*(-27)\/6. Let n = -141 - r. Let c = 97 + n. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146705\/(-40626) + -14*2\/(-8)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 12 = 0, -85 = 4*u - 4*n - 65 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 516110?\nAnswer: 516114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -17*a**2 - 11*a + 2. Suppose 3*h = 3*x - 137 + 122, 5*h + 13 = 2*x. Let q(o) = 6*o**2 + 4*o - 1. Calculate x*r(i) + 11*q(i).\nAnswer: -2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 624\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 52*u**2 + 34*u - 839. Let q be r(-51). Solve 12*a - 88 = -q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*q + 3, 0 = -2*a - 341*q + 342*q - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1230112 (base 4) to base 13\nAnswer: -3205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 670 and 20?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02374444 to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.824 - 0.125?\nAnswer: -3.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k + 20. Let l(d) = 0*d**2 + 460*d**3 - 5*d + 6*d**2 - 5 - 461*d**3. Determine l(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11350 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 + 4*z**3 + z**3 - 1 - 7*z**2 - 4*z**3 as d + j*z + u*z**3 + m*z**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17 - ((-45 - 16) + 66)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/((-1275166)\/(-14168) + -90).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 17. Put g, -2, -4 in decreasing order.\nAnswer: g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-3 - 27) + 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1037758944.\nAnswer: 2, 3, 131, 179, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 + 1153*f**2\/3 + 1150*f\/3 - 768.\nAnswer: (f - 1)*(f + 2)*(f + 1152)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {t: 6, r: 1, k: 1, z: 1, d: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = t + 2*t + a, 2 = -a. Let f = t + 2. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -287.7 and -4.\nAnswer: 1150.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 7*24\/21)\/(7 - -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 195488 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**3 - 275*g**2 + 3915*g - 3645 = 0?\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*o, -3*t + 12 = -3*o - 0*o. Find the second derivative of t*g - g**5 - g + 0*g wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*q + 11400 = 856*q for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37383804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424809*z - 8*d + 1 = 424808*z, 0 = 3*z + 4*d + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9*(10\/66 + (-10)\/(-55)). Let s(a) = -21*a + 23. What is the units digit of s(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 47, 82, 133, 206, 307?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*b + 229*b + 122*b)*(0 + 4 - 3).\nAnswer: 391*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -856590.1 rounded to the nearest 10000?\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7351 + -19640. Is -12290 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2649012?\nAnswer: 2, 3, 31, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 9 = 5*l, 3*z - 4*l = 7*z. Let c = -19 - 5. Let h be c\/(-14) + (-4)\/(-14). Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -451*q**7\/42 + 11*q**3\/6 - 5*q**2\/2 - 260*q. Find the second derivative of z(k) wrt k.\nAnswer: -9020*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-3)*360\/(-21). Suppose -4*f = -12*f + z. Solve 12*t = f*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15430a (base 16) to base 10\nAnswer: -1393418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57, -73, -87, -99, -109, -117, -123?\n\"Answer: m**2 - 19*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p**2 - 8*p**2 + 80*p**3 - 1 - 82*p**3 to the form i*p**2 + r*p + a*p**3 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*r = -317, -4*t + 1286 = -12*r + 17*r. Which is the biggest value? (a) 1 (b) t (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211300177 to the power of 1\/4, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -6380582.732?\nAnswer: -6380581.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/(-6) - (-1625)\/350 and -61\/51?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*t**2 + 5348077*j**3 + 25*j**2*t**2 - 2*j**2 - 757*j*t - 16*t**2 wrt j?\nAnswer: -6*t**2 + 32088462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -118?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000048666 to seven decimal places.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242 + 2*g**2 + 125 + 34 + 54 + 29.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/96 and 25\/576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42760.875165 - 42761. Let g = a + 1.524295. Let o = g - 1.4. What is o rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960 is divided by -33*(66\/55 + (4 - (-176)\/(-30))).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 5, -25, -28, -904, 1 in descending order.\nAnswer: 5, 1, -1, -3, -25, -28, -904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69\/4 in -5, -6, 1\/12, 1\/2, 17?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 - 583b?\nAnswer: -5824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5511 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 + 149. Let r = -3 + 6. Solve 0 = 2*t + 6*p - r*p + s, 5*t = -5*p - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -32 + 47 + 2*y**2 - 3*y**2 - 32. Let q(v) = 2*v**2 + 50. Give -8*g(h) - 3*q(h).\nAnswer: 2*h**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6466 (base 9) to base 7.\nAnswer: -16605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -182693*f**2 - 3*f - 3. Let j be q(-3). Let n = j + 794231. What is n rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1701 - -6803\/4. Suppose 0*w - i = 5*w + 10, 3*w + 6 = -4*i. What is the third smallest value in w, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 66*o + 392. Give u(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-2*-5)\/(sqrt(450) + sqrt(2)))\/(sqrt(243)*4*3).\nAnswer: 5*sqrt(19)\/864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 974.6 - 975. Sort a, -17, -3 in decreasing order.\nAnswer: a, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29038*l + 58049*l - 626*l**2 - 29033*l.\nAnswer: -626*l**2 - 22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 4. Suppose 0 = -j - 0*j + 2. Suppose 0 = -5*b - j*k + 38, -3*b - 4*k + 3 = -17. Solve -o + 6 = -5*l, 0 = 4*o - w*l + b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.4379 rounded to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 18)*(-3)\/(6\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -11 - 11 - (-1 - -1 - -21).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = 2*p. Let l = -3 - p. List the prime factors of (-2 - -13 - l) + -1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4320536 and 1276?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 953, 953, 943, 917, 869, 793, 683?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1512608 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 230088 and 32.\nAnswer: 920352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(2*1) - 1. Let m(z) be the first derivative of -z**4\/4 + 379*z - 1. Is m(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 12\/15 + (-1984)\/(-20)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3982 - -87653\/22. What is the common denominator of d and (12*6\/528)\/((-21)\/315)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 403?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 5:18 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4 + 3979184*b**3 - 3975943*b**2 wrt b?\nAnswer: 24*b + 23875104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50303 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -185715*w**2 + 6*w - 7. Let k(u) = -u. Let m be k(-7). Let x be j(m). Round x to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/58324 and -35\/136?\nAnswer: 1983016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o + 1\/6 + 0*o**3 + 1\/6*o**4 - 1\/3*o**2.\nAnswer: (o - 1)**2*(o + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 g when three letters picked without replacement from {g: 4, y: 3, m: 1, i: 1, f: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*i + 5*u - 27, 19 = -i + 5*u for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12583045?\nAnswer: 5, 431, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442 divided by -100.\nAnswer: -221\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 130 = 4*y, -5*j + 25 = 2*y + 86. Let a be 2\/11 + (-60)\/y. Let o = -6 + a. What is the biggest value in 5, 3, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19504?\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 + 3 + 3\/((-2)\/(-2)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g - 5*q + 6, q = 3*g - 18. Solve 0 = -g*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 9 = x. Let v = -12 - x. Calculate the common denominator of v and (-1)\/(-6)*369\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/((-77)\/(-42)))\/(-6). What is the closest to u in -2\/5, -6, -4, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + 5*t - 22. Let d(j) = -j**2 - 2*j + 7. Let m(o) = -7*d(o) - 2*l(o). Let c be (1\/2)\/((-83)\/664). What is m(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -9. Let x be 7\/((-1)\/((-1)\/((-4)\/v))). What is the third derivative of 5617*w**3 - 5617*w**3 + x*w**2 + 28*w**4 wrt w?\nAnswer: 672*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435*p - 423*p - 228 = 0. Let s = 179 + -35. Suppose -l + 5*l - s = 0. What is the remainder when l is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 - -62?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 89 = -4*p, -100 = -5*t + 3*p + 58. Solve -6 = 5*r - t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 10:38 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -13 (c) 2 (d) -2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155690 is divided by 326?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 + 2*n**2 - 2*n - 1. Determine r(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**7\/1260 + h**4\/6 - 37*h**3\/6 - 43*h + 2. Let d(x) be the third derivative of n(x). Let z(y) = y**2. Determine d(z(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3446, -3448, -3446, -3440, -3430, -3416?\nAnswer: -3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4036 = 3998. Put t, -108, -3 in ascending order.\nAnswer: -108, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**3\/4 - 355*o**2\/2 + 32235*o\/4 - 231525\/2 = 0.\nAnswer: 30, 49, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 6*f. Let u be m(6). Let y(c) = c**3 + 2 + c**2 + u*c**3 - 6*c**2 + 2*c. Calculate the remainder when 23 is divided by y(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**6\/120 - y**5\/60 + y**4\/24 + 5*y**3\/6 + 5*y**2. Let v be f(-3). What is the greatest common divisor of v and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -17.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-167)\/(-4) - 93\/(-372) - (11 - 0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - l = 3*l + 12, 2*l + 10 = 0. Let q(r) = -r**3 + 19*r**2 - 17*r - 6. Let j be ((3 - 0) + -1)*9. What is the least common multiple of q(j) and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -379924615093 + 4.\nAnswer: -379924615089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2 - 4*n + 3. Calculate l(3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/961 + -101015\/21142. Calculate the common denominator of -17\/22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 390.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 a when four letters picked without replacement from {f: 1, i: 1, r: 3, a: 3, c: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.36 + -4.36. What is the closest to 1\/5 in -16, -0.4, 3\/7, v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 - -400. Let q = -147 + a. What is the highest common divisor of q and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 188379\/587404 + -490\/1121. Find the common denominator of -44\/5 and t.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -4*s - 6 + 43 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*g + 57*g + 2930516 = 0. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5772*y**3 - 7434*y**3 - 6166*y**3.\nAnswer: -19372*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 13*a**2. Let q(d) = 4*d**2. Let p(g) = -2*f(g) + 7*q(g). Let z(y) be the third derivative of y**5\/2 - 134*y**2. Give p(z(o)).\nAnswer: 1800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z = -8. Let v(k) be the first derivative of -1\/2*k**z + 0*k**2 - k + 0*k**3 - 1. Find the first derivative of v(r) wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33280 + -16730. Round i to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 5*q. Let p = 17 + -5. Solve -5*i + i + p = q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 852 and 258309.\nAnswer: 73359756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.828 + -0.172. Let g = 0.38 + 16.52. Let v = 17 - g. What is the second biggest value in -3, h, v, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.12, -0.014, 2, -39, 3, 0.07?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1575882 + 2609570. Suppose 3*g + x = -g. Let d = 581422 + g. What is d rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g + 220. What is i(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -94, 2\/37, -0.04, 1\/6, -0.5?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spa when three letters picked without replacement from okkzsokskpazka?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 1\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222 is divided by 381.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 316 and 430550?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 1. Let f(z) = -3*z - 1. What is the least common multiple of (-4)\/(-6) - c\/(-3) and f(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 18\/(-468)*(-1412)\/6 - 918\/351?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272027542 to the nearest integer?\nAnswer: 16493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 + (-5)\/820. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**6\/120 + m**5\/10 - 5*m**4\/12 - 5*m**3\/6 + m**2. Let g be r(-7). What is the greatest common factor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9335 and -5.\nAnswer: 9330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9*v - 135 = 0, -59022*v = 2*l - 59025*v + 48. Let o = -57\/4 - -14. Which is the biggest value? (a) l (b) -0.13 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5) + 19*(-204)\/(-1615). Sort -3, -2, 34, t in ascending order.\nAnswer: -3, -2, t, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from kkkkvajijikj?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1534*o - 855. List the prime factors of a(5).\nAnswer: 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -564, 11611 in increasing order.\nAnswer: -564, 1, 11611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*z - 5. Suppose -d = -5*t + 14, -4*t - 4*d = -z*d - 20. Suppose -5*h + t = -23. Solve 4 - 9 = -h*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54560486096936 plus 2?\nAnswer: 54560486096938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1\/5 (c) -5 (d) -9\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0 (c) -95 (d) -0.01 (e) -0.128 (f) -1\/5 (g) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 164 + -161. Solve 0 = -b + o + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -20.04. Let p = 0.04 - c. Let o = 2.5 + p. What is the second biggest value in 4, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -49456\/3 and -16486 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5002546 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npp when three letters picked without replacement from nnpnp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)\/(l\/((((l\/l**2)\/l)\/l)\/l)))**(22\/5))**(-2\/3) assuming l is positive.\nAnswer: l**(484\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16 + 4)*(-2)\/(-3). Let b = -4 - u. Suppose 2*z - 10 = -0*f - 5*f, -40 = -5*f + b*z. Put f, -5, 0 in decreasing order.\nAnswer: f, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -4\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -1 - 50*(-259)\/370?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (182*w**2 - 48*w**2 - 28*w**2 - 49*w**2)*(0 + 1 - 2)*(24 - 24 - 5*w).\nAnswer: 285*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 2\/(-3))\/((-80)\/(-48)). Let v(s) = -s**2 + 4*s + 5. Let q be v(5). Suppose p + 3*j + 7 = 0, q = -2*p + j + 2*j - 14. Which is smaller: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 3\/5 (b) -3\/4 (c) -24\/7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (0 - 1) + (19\/1 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121543\/981 not equal to -124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 293 = -53. Suppose 0 = 5*q - j*a + 8*a - 12, -3*a + 6 = 0. Solve q*n = 14 + 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/((-27)\/15) + 159. What is the greatest common factor of n and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 269232161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -156ab (base 13) in base 2?\nAnswer: -1001111011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5831 a factor of 247481769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185848990*d*f**3 + 21*d*f**2 - 710*d*f - 143*d - 2*f**2 + f wrt f?\nAnswer: 1115093940*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -60.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w + 9. Let z(j) = -j - 2. Let l be ((-69)\/(-12))\/(-4*(-1)\/32). Let h = 48 - l. Give h*k(u) + 9*z(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -15*y**3 + 7618*y**2 + 61495*y + 123613. Let x(a) = -21*a**3 + 10665*a**2 + 86094*a + 173058. Let m(c) = -18*o(c) + 13*x(c). Factor m(g).\nAnswer: -3*(g - 515)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/29 or 1.5982?\nAnswer: 1.5982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3\/8 + 7449*h**2\/4 - 13986639*h\/2 + 426457111 = 0.\nAnswer: 62, 7418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(sqrt(1377) + (sqrt(1377) - -2*sqrt(1377)) + sqrt(1377))*5 - (-5 + -5 + 6*(2*sqrt(1377) + sqrt(1377) + sqrt(1377))))**2.\nAnswer: -32184*sqrt(17) + 30570921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2225157000 rounded to the nearest one million?\nAnswer: 2225000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -699\/8 greater than -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60588*p**2 + 47*p - 45?\nAnswer: -121176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*i - 1. Suppose -4*a + 103 = 83. Solve -a*p - 16 + i = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = -5*q + 10*q. Suppose 2 = 2*d - 6. Suppose 27 = -d*c + q. Solve 8*g - 4*g + 3*n + 15 = 0, 2*n = 3*g - c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 + 2.5. What is the third smallest value in -1\/7, i, -4, 71?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15545450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 - x**2 - 2*x**2 - 2*x**2 + x**2 - x**2 + x**2 - 5*x**2 + 5*x**2 + (-x - 1 + 1)*(2*x + 2*x - 2*x) in the form i*x + z*x**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -6, -68, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 7*p - 3*p + 1486, -3*p + 3*i = 1137. Let y = p - -372. Suppose 5 = -2*a - 5. Sort 3, y, a in increasing order.\nAnswer: a, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0064 (base 11) in base 13?\nAnswer: -51899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 8:18 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/9 and 52\/31371.\nAnswer: 94113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42279)\/3316 - (-39)\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -9*y + 480. Let u be ((54\/(-4))\/(-3))\/((-4)\/y). Let q = u + -89. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.67 + -39.67. Let z = x - -39.94. Round z to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4, -8 in increasing order.\nAnswer: -8, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11832344 and 5076?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 61*p + 30*p + 31*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478*c - 199*c - 161*c.\nAnswer: 118*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 175686 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*b**4*c**2 + 2*b**4*c - 4*b**3*c**2 - b**2*c**2 + 189*b**2 - 2*b*c**2 wrt b?\nAnswer: 456*b*c**2 + 48*b*c - 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 7 - (-5 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 5, 3*f + g = 1563 - 1556 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: a36 (base 12) to base 2\nAnswer: 10111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1182740 and 14820?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3582 and -3.\nAnswer: -3.3582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 4*r**2 + 3. Let l be w(-4). Solve l*c + 3 + 3 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/((-16)\/(-72)). Suppose -2*m = 4*t, 0 = -m + 2*t + 2*t + 6. What is the second derivative of -2*p + p**n + m*p**3 - p**3 wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**3\/12 + 13*z**2\/4 + 25*z\/4 - 24. Factor y(j).\nAnswer: (j + 1)*(j + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q + 20*q + 26*q - 15*q.\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -38. Suppose -4*r - z*c + 26 = 0, -r - 21 = -3*c - 2*c. Suppose -54 = -2*h - n, 7*h + 4*n = r*h + 71. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010386832 to 7 decimal places.\nAnswer: 0.0001039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1489381 and 3088.\nAnswer: 23830096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -15450?\nAnswer: 15454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.9. Let l be (1\/(-2))\/(98\/(-6692)). Let v = l + -34. Which is the closest to z? (a) -5 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6\/5*v**3 + 0 + 0*v + 1\/5*v**4 + v**2 = 0. What is v?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - -0.5. Let q = g + -2. Which is bigger: -0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -42*h + 211. Let u be w(5). Do u and -4\/2707 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1576 times -0.219995\nAnswer: 346.71212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9747560.16444 and -0.3.\nAnswer: -9747560.46444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 26*z - 5. Let p(h) = 961*h - 186. Calculate -186*k(m) + 5*p(m).\nAnswer: -31*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/9)\/((-14)\/252). Suppose k - 2*k = 0. What is the units digit of k*(-4)\/n - -76?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**4 + 4*p**3 - 4*p**2 + 6*p - 4. Let m(s) = -s**3 + s**2 + s + 1. Let b(u) = d(u) + 4*m(u). What is the second derivative of b(x) wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 9*p + 11. Let i(d) = -5*d**2 - 8*d - 1. Let l(z) = -z**2 - z + 1. Let a(u) = i(u) - 4*l(u). Let j(b) = -7*a(b) - 3*x(b). What is j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -12*y - 1. Let w be (4 + (-586)\/1)*(-2)\/(-3). Let b = 386 + w. Determine g(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5410489 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 345427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**8\/112 + 2*z**7\/35 - 3*z**6\/20 + z**5\/5 - z**4\/8 + 5*z**2. Factor o(n).\nAnswer: -3*n*(n - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -378 - -530. Suppose 3*x + 356 = -2*i, -i = -0*i - 5*x + l. Let j be (-2)\/7 + i\/(-14). What is j rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 10:56 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from xxxoxxxxooooxoxooxo?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2022 divide 234140838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:49 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from {o: 1, y: 2, h: 1, b: 3, p: 7}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(-4)*-18*1. Let m be (2 - 1)*(-1740)\/(810\/27). Is m at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21861521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8098 (b) 2\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 4:27 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*k - 5*a, -k - 4*a = -8*a + 12. Which is bigger: k or 10\/443?\nAnswer: 10\/443","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - 32*m**2 - 339*m - 20. Give v(-7).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 7)*(0 - 2 - 5)*(325 - z - 3*z - 324).\nAnswer: 28*z - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) - -1*(3 + sqrt(637)).\nAnswer: 3 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:41 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 13*z**4\/2 - z**3\/6 - 154*z**2 + 29*z + 19. Let g(s) be the first derivative of v(s). What is the derivative of g(d) wrt d?\nAnswer: 156*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7091 + -0.5091. Is 97.4 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**5*u**2 + 67*i**5 + 20*i**2 + i*u**2 wrt i.\nAnswer: 120*i**2*u**2 + 4020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (-6132)\/(-630)) + 50\/(-30).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -411 - -204. What is the tens digit of (-2)\/(-6)*l\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5041, -10437, -16189, -22297?\nAnswer: -28761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4340137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -k - 107, t = 3*k + 18 - 5. Let v = -25 + t. Sort -20, 3, v in increasing order.\nAnswer: -20, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsnzqqq. Give prob of sequence qszn.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5034239117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 6*p**2 - 3*p - 14. Let o be d(5). Calculate the remainder when (-2)\/(2*-1)*1 is divided by (-2)\/o - (-4)\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-16)\/(-6))\/((-6)\/(-486))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - w - 88, -4*w = -5*u - 27 + 148. Calculate the highest common factor of u and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2064 + 2068. Suppose 12 = -4*f, -n + 13 = n - 3*f. Suppose -116 + 28 = -n*h. Calculate the greatest common factor of p and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -60, 4, -7 in decreasing order.\nAnswer: 4, -1, -4, -7, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**4\/3 + 65*r**3\/3 + 335*r**2 - 14. Let t(h) = -4*h. Give t(a(f)).\nAnswer: 32*f - 520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 53083 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.130404 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -2*k**6\/27 - 94*k**5\/9 - 13*k**4\/2 - 28. Factor r(n).\nAnswer: -2*n**3*(n + 117)*(2*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 + -72 + -39 - 8.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 656776709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 3\/(-2))*16. Suppose -3*w - l = 2*p, -2*w = w - 2*p - 8. Suppose 5*z - z - 4 = 0. Which is bigger: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, -2, -4, -0.2 in ascending order.\nAnswer: -4, -2, -0.2, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/5)*x*x*(x*x*x\/(x**(-3\/4)*x*x))\/x)\/(x**(-1)*x)**41 assuming x is positive.\nAnswer: x**(31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21830 - 20585. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) - 211\/(-4). Suppose -y + 165 = 2*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*d**3*y**4 + 8756*d**3*y**2 + d*y**2 + 5*y**5 + 2*y**3 wrt y.\nAnswer: -216*d**3*y + 300*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 2*b. Let c = 0 + b. Solve -c*k = 6 + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 2*g**2 + 3*g. Let q be x(3). Let t = q - 34. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346871583 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(15\/150)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53467967 + 2?\nAnswer: -53467965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -o + f, -4*f - 134 = -o + 118. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 10*a - 9. What is w(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1587253 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6092172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, j: 3}. Give prob of sequence jjj.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*f - 2*f**4 + f + 9 - 12*f with respect to f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*v**2 - 26*v**2 + 54*v**2)*(-1 - 3 + 3) - 4 + 4 - 4*v**2 + v.\nAnswer: 21*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49886431 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*b + 13*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*z = -337*z + 208. Sort -10, z, -2, 1.\nAnswer: -10, -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/3 - 2*t**3 - 4*t**2\/3 + 8*t - 16\/3 = 0. Calculate t.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**2 - 2*c + 7. Let i(t) = -5*t**2 - t + 6. Let g(q) = -q**3 + 20*q**2 - 50*q - 21. Let b be g(17). What is b*i(k) + 3*m(k)?\nAnswer: 2*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4 minus 3689?\nAnswer: -3696.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 27 = 1. Let n = w + 29. Solve 2*y = -2*y + n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 74 - 66 + b - 8. Let j(o) = 61*o**2 - 2*o - 8. Give j(w(x)).\nAnswer: 61*x**2 - 2*x - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 1:31 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 3:53 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 408*g*p**2 - 9308*g*p - 1530019*g - 13*p*w**2 + 11*w**2 wrt p?\nAnswer: 816*g*p - 9308*g - 13*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -76? (a) -92585 (b) 1\/6 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m**3 + 3 + 9*m**4 - 8*m**3 - 12*m**4 + 75 with respect to m.\nAnswer: -12*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(2) - sqrt(2)) + 5 - sqrt(2)) + (-3*sqrt(2) + sqrt(2) - sqrt(2))*-3)**2.\nAnswer: 40*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**2 - 96*n**3 - 6*n**2 - 6*n**2 - 41287*n + 41287*n.\nAnswer: -96*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5957, -5950, -5931, -5894, -5833?\nAnswer: -5742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1070 + 1056 = -2*l - r, -2*l = -3*r + 18. Let x(a) = a. Let g(o) = 1 + 0*o - 3*o + o. What is l*x(q) + g(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + j**4 + 0*j + (-2*j**4 + j**4 + 0*j**4)*(-4 - 1 + 3) + 760*j**4 - 480518 + 480518.\nAnswer: 763*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 5 (c) 5\/3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(832) + 2*sqrt(832) + sqrt(832) - sqrt(832))**2*1 + (sqrt(832) + 2)*-5.\nAnswer: -40*sqrt(13) + 7477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1836 and 18?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o**3 - 17*o + 9*o**2 + o**2 + 7*o**2. Let t(p) = 2*p**2 - 2*p + p**3 - 419 + 419. Calculate -6*a(v) + 51*t(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*c = 4, -v - 18*c = -19*c - 9. Let r(p) = 13*p**2 + 8*p - 6. Is r(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15212 less than 15210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) -5 (c) 0.2 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0*p**2 - 3*p**2 - p)*(2*p + 0 + 0).\nAnswer: -4*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/16162 and -59\/122.\nAnswer: 985882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.9386782 weeks?\nAnswer: 157.6979376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21006056 or -21006166?\nAnswer: -21006056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 42*h**2 - 2786. Let s(l) = -60*l**2. Determine s(c(o)).\nAnswer: -423360*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3039 is divided by 503?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -18. Suppose -256 + 73 = -w*z. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21157 and -118.\nAnswer: 21039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 33000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29\/1487 + 95782\/260225. Let g = -2\/25 - v. Let x = 27 + -28. What is the biggest value in x, 1\/7, g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/1 - -45) + -4. Suppose -l + d = 2*o - 0*l, 0 = -3*o - 5*l + 79. What is the lowest common multiple of o and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 53 = 133. Let z = 118 - s. Solve -5*y = z, r + 3*r + 13 = -y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 464401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/190 - 871*s**4\/114 - 189224*s**3\/57 + 190096*s**2\/19 + 46*s - 17. Factor i(u).\nAnswer: -2*(u - 1)*(u + 436)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-2 - 50\/(-24)). Let b(l) be the first derivative of -1\/2*l**2 - h*l**3 - 3 - 1\/2*l. Factor b(j).\nAnswer: -(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(sqrt(208) + sqrt(13))**2.\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (83 + 16 - 115)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/5 and -29\/2121.\nAnswer: 10605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 2*a = 3*b - 80, -2*a - 80 = 4*b. Let n = b - -22. Solve -2*j = 4*s + 2*j, -n = -3*s - 4*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -24*a**2 - 145*a - 162. Determine x(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(3) + (sqrt(75) + 2)**2)*1.\nAnswer: 21*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455029598?\nAnswer: 2, 3, 11, 137, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10177*w - 193372. Calculate l(-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from dyccopa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 49. Suppose 0*n - 2 = -2*n - f, 4*f - 8 = 0. Does 13 divide p(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 take away -546.3216?\nAnswer: 547.5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2352095 + -51700599\/22. Let z = n + -2066. What is the common denominator of ((-518)\/84)\/(10\/18) and z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z**2 + 66 - 32 + 4*z - 37. Give m(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 49?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(3) - sqrt(54)\/sqrt(2)) + 1) - (sqrt(81) + (sqrt(81)*-2 + sqrt(81) - sqrt(81)) + sqrt(81))\/((sqrt(3) + sqrt(27))*6).\nAnswer: -2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1241, -1245, -1261, -1295, -1353, -1441, -1565?\n\"Answer: -a**3 + 3*a - 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55890\/31 in 4, -0.05, -3\/8, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 16. Let m be f(-7). Let x = m + 8. List the prime factors of x\/(1 + 21\/(-18)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*l + 5. Let h be l\/(-6) - (-8)\/2. What is the third smallest value in -3, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + 4*sqrt(1539) + sqrt(1539) + (sqrt(76)\/sqrt(100))**2.\nAnswer: 19\/25 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25777 rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58675 and 96575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3183363 is divided by 63666.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 325036.3 to the nearest one hundred.\nAnswer: 325000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 193096 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32624381 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + z - 2*z + (3 + 0 - 2)*(3*z - z - 3*z))*(3 - 3 + 2) to d + l*z and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097164 is divided by 182849.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g - 8*g + 7*g + 461. Let u be b(0). Let y = u + -328. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11))**(-19)*c*c\/(c*c*(c\/c**(-18))\/c*c*c)*c*((c*(((c\/c**(-1\/7))\/c)\/c)\/c)\/c)\/c assuming c is positive.\nAnswer: c**(-1949\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 86. Is 4\/h + (3970\/30 - -8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 u when three letters picked without replacement from nepaaiupeeepnu?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 2570*j**3\/3 + 3319*j**2\/2 - 2124. Find the second derivative of s(o) wrt o.\nAnswer: 5140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (402*v**2 - 591*v**2 - 685*v**2)*(0*v - v + 3*v - 5*v - v + 4*v + (-2*v + 3*v + v)*(-4 - 3 + 5) + 0*v - v + 3*v + 3*v - 5*v + 0*v).\nAnswer: 3496*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 10*w - 2. Let x be u(9). Let k(p) = -3*p - 9*p**3 - 9*p**3 + 8*p**2 + 17*p**3. What is the units digit of k(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*(-1890)\/252.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 4*a + 1. Let s(v) = v**2 + 4*v + 2. Let l(y) = -3*b(y) + 4*s(y). What is the smallest common multiple of l(-5) and (8\/(-12))\/(4\/(-18))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/3, -1065\/31, 3\/7, 0.47, -1 in descending order.\nAnswer: 14\/3, 0.47, 3\/7, -1, -1065\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2179 + 23993\/11. Find the common denominator of q and -32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50172 and 58534?\nAnswer: 351204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -50*g**3 + 4*g**2 + 8*g - 5. Let n(q) = 25*q**3 - 2*q**2 - 4*q + 2. Let a(l) = 5*n(l) + 3*p(l). Let d be a(-5). Round d to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - r + 5)*(0*r - 2*r - 2*r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/29 + 9\/145. Solve -c*y**3 + 0*y**2 + 0*y + 0 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8182041 (base 9) to base 14.\nAnswer: -818824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/12)\/(30\/12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 2:42 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 9*y = -5*y - 156, 0 = b - 3*y - 55. Suppose -7184 = -b*m + 35*m. What are the prime factors of m?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 164\/59361 or -1?\nAnswer: 164\/59361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**4 + 2*s**4 + 4*s**4 + (3*s**2 + 0*s + 0*s)*(-2*s**2 + 6*s**2 - 5*s**2) to the form z*s + l*s**4 + n*s**2 + d*s**3 + i and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/43466 and 107\/34182.\nAnswer: 3520746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y**2 - 2. Determine b(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9779ms to nanoseconds.\nAnswer: 977900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 492. Suppose 5*t - n = 97. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527334480.\nAnswer: 2, 5, 7, 2727383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*s = -189*s - 30. Solve s*k = 5*w + 4, 17 = 2*w + 4*k + k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2 + 1 - f + 0*f - 2. Let z(v) = -11*v - 92. Let u be z(-8). Give x(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494*p + 466*p = -252. Suppose 2*z - 37 = 33. Suppose -440 = -p*m - z. Calculate the greatest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 + 5 + 12 + 15*u**2 + 15 + 9 in the form h*u**2 + d + z*u and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.147 - 62.147. Let l = -62 - t. Which is the nearest to 3? (a) l (b) 3\/5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + v**2)*(-1 + 0 + 16)*(-v - 2 + 2) - 443*v**2 + 888*v**2 - 445*v**2 - 1028*v**3.\nAnswer: -1043*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g**2*h**3*u - g**2*h**2*u + 3*g**2*t**3 + 50*g*h*t*u + g*t**3*u - 3*g*t*u + 2*h**3*t**3*u wrt g?\nAnswer: 18*h**3*u - 2*h**2*u + 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47894775 to the power of 1\/2, to the nearest integer?\nAnswer: 6921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - b**2 + b - 1. Suppose -4*q + 24 = 4*p, 0*p = 4*p + q - 12. Suppose -4 = -p*y - 2. What is o(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 234789 and -12.1.\nAnswer: -2840946.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3\/4 (b) -0.04 (c) 5 (d) -2 (e) 0.2 (f) 135.77 (g) -3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(3 - (2 - 1)). Let k = -3 + 0. Put -1, o, k in ascending order.\nAnswer: k, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, d: 1, n: 6}. What is prob of sequence wdn?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**3\/3 - 5*t**2\/2 + 8*t - 1. Let v be b(-6). Let n(f) = -4*f + 0*f + v*f. Let u(z) = -z**2. Calculate n(u(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64385 and 25754.\nAnswer: 128770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 - n + 5. Suppose -k + 0*r - 5*r + 25 = 0, 4*r - 20 = -2*k. Let p be l(k). Solve 5*a - 5*u - 5 = 0, a + 21 = -2*a - p*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 4. Let c(p) be the second derivative of -p**4\/4 - p**3\/6 - 5*p**2\/2 - p. Let b(k) = -4*a(k) - 3*c(k). What is the units digit of b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + sqrt(1900)*-3*-5)*6)**2.\nAnswer: -21600*sqrt(19) + 15390144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 3*i**2 + 3*i + 3. Let j = -37 + 40. List the prime factors of v(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/60*-99)\/((-36)\/180)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 16512.\nAnswer: 16512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 1, u: 2, h: 1}. What is prob of sequence uum?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2\/199, 4, 0.5, 3, -9 in ascending order.\nAnswer: -9, -2\/199, 0.5, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1970.3 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911*u - 7453 = 6262 + 5416 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by ((-2)\/6)\/(12\/(-360))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38101 + 116?\nAnswer: 38217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27872 and 298552.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3.1. Let o = -5.1 + z. Let b = -0.26 - 0.04. What is the closest to 1 in 4, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 4*u + 3. Let q be d(-3). Let s(h) be the second derivative of -h**4\/12 + 37*h**2\/2 + 3*h. Is s(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + (((sqrt(128) + sqrt(128) + -2)*-3)**2 - (sqrt(128)*-1 + 5)) + -4 + -4.\nAnswer: -568*sqrt(2) + 4625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/20 - a**4\/4 - a**3 + 5*a**2 + 2*a. What is the units digit of u(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5273324*s. Let z(d) = 4*d**2 + 15*d. Calculate x(z(p)).\nAnswer: -21093296*p**2 - 79099860*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 64. What is the remainder when 4\/(-6) + (-519)\/(-9) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0 - 23\/6*l**4 - 1\/2*l**3 + 28*l - 3\/2*l**2. What is the second derivative of p(f) wrt f?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-5)\/(105\/9) + (10\/(-140))\/(1\/(-1574)) and 23 + 3*(-4)\/6.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9889792 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 0 - (3 + -9). Suppose 0 = -u*p + 8*p + 24. Let q = p - -121. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-44) - 11\/(-3146)*-41. Let n(l) be the first derivative of y*l**4 - 4\/39*l**3 - 8\/13*l + 1 - 7\/13*l**2. Suppose n(b) = 0. Calculate b.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 11:43 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*m**3*z**2 + 3*m**3*z - 109*m**3 + m*z**3 + 2 wrt z.\nAnswer: -8*m**3*z + 3*m**3 + 3*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 = -4*d, w + 10 = 3*w - 5*d. Solve 2 = w*p - 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 15*u**2 + 16*u**2 + 21*u**2 + 7*u**2 - 9*u**2 in the form a*u + n + k*u**2 and give k.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*m + 50 - 50 to the form n*m + p and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {i: 3, h: 4, m: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 - 78 + 5*z)*(4*z**2 - 36*z + 36*z) + (-4*z**2 + 5*z**2 - 3*z**2)*(-3*z - 2*z + 4*z).\nAnswer: 22*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(11 + -2))\/(15\/(-10)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*2\/(-4))\/((-264)\/(-594))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*8\/(96\/(-39)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j - 7. Let t be k(-6). Let i be 9\/135*-3 - 1\/(-5). Let r = t + i. Solve -2*y = r*w + 35, -2*y - w + 10 = -5*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 40. Suppose 0 = d*u - 2*u - 1092. Let s = 56 + -30. Calculate the highest common factor of s and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674 is divided by 6*(-46)\/9*(-102)\/136?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-684)\/(-45) - 8\/(-10) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 17258528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34.5 + 231.5. Let u = a - 197.00113. What is u rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 - -54.991. Let t = p - 0.831. Round t to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 266156429 and 79310?\nAnswer: 2661564290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5007 - 15023\/3. What is the nearest to 0.2 in -6, 0.6, k, 2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*i = -26, 5*i = 5*l - 8*l - 14. Let u be -14*(-7)\/4*l. Let t = 59 - u. Solve -t - 2 = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 20*r = -15*r + 14, -r - 14 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -654 by 1538.\nAnswer: -327\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(((d*d\/(d*d\/(d*(d**10*d*d)\/d)))\/d*d*d)\/d))*d\/(d\/d**(1\/2)*d))\/(d**(-3\/2)\/d*d**4) assuming d is positive.\nAnswer: d**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 - 2 = 5*t, 0 = 4*t - 2*i - 20. Suppose -3*l - l = 4*j - 396, -j + t*l = -111. Calculate the lowest common multiple of 33 and j.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 38. Suppose -n = 2*a, -o = -5*n - a + 7. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 14 = -7. Suppose 2*h + p - 25 = 0. Let c = 18 - h. What is the highest common factor of 6 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 1 - 1 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -24071*d - 120352. Give b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546910?\nAnswer: 2, 5, 7, 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -123 - 77cc?\nAnswer: -7911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1106 divided by -1869.\nAnswer: -158\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 8*a + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h + 3*k = -208, -2*h + 240 = 5*k. Suppose 0 = -5*u + 5*b - h, -3*u + 3*b = -2*b + 70. What is the tens digit of (-15)\/(-2 - 34\/u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 14*l + 81. Let t be s(-10). Let q = t - 167. What are the prime factors of q?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -312015 + 312013.00023. Let g = -4 + 6. Let u = g + h. What is u rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -17?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - -0.0401. Round y to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 7*j**2 - 3*j + 18. Let t be d(-6). Factor -1\/2*v**2 + 0*v + 1\/4*v**3 + t.\nAnswer: v**2*(v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u - 644. Determine j(-60).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 792, 4, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2\/8 + 3740363*a\/2 + 14961451\/8 = 0.\nAnswer: -14961451, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wywwywwwwwww. Give prob of sequence yww.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-15) + (-145)\/(-30) + -4. Which is the third smallest value? (a) -1 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2568, -2513, -2394, -2187, -1868, -1413, -798?\n\"Answer: 4*l**3 + 8*l**2 + 3*l - 2583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 13 = -11. Let f = -4 - s. Solve -3*z + 5 = -7*c + 3*c, 0 = f*z + 3*c + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/(-8)*(-4)\/(-7). Let c be 2*s\/8*-6. Let d be (-11662)\/(-476)*(36\/(-14) - -2). Put d, 2, c in ascending order.\nAnswer: d, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**4 - 1242180*x**3 + 77149315430*x**2 + 154302357420*x + 77151799805 = 0?\nAnswer: -1, 124219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3*v + 3*v)*(2 - 6 + 3) - 110*v + 936 - 936.\nAnswer: -108*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 28*a**2 - 9*a + 2. Let b be w(27). Let v = -688 - b. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -21. Let i = v + 10. Is -2 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 - -161 - 88 - (1 + -1 + -56)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**32*l*l*l**(16\/3)*l*l*(l**(10\/3))**29)**32 assuming l is positive.\nAnswer: l**4448","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 184896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, u: 10, n: 3, s: 1}. Give prob of picking 1 q and 2 u.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 803, 1602, 2401?\n\"Answer: 799*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 51*w + 2. Let n(l) = -8*l**2 + 16*l**2 - 10*l**2 + 2*l**2 - 2*l**2. Give k(n(f)).\nAnswer: -102*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 851992198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021273 to six decimal places.\nAnswer: 0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50106\/5 - -10022. Which is the smallest value? (a) 4 (b) v (c) 1 (d) -0.3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102089235, -204178471, -306267707, -408356943, -510446179, -612535415?\nAnswer: -714624651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2178 or 2180?\nAnswer: 2178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14 = 2*i, 0 = -0*i + i - 3*l - 7. Let p be (-4)\/(12\/3) + 3. Suppose -i = -p*r + 1. Solve -q = 2*q + s - 6, 0 = -r*q - 4*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 9*a**2 + 12*a + 11. Let w be u(5). Which is bigger: -5\/26 or w?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - -0.1. What is the second biggest value in -3, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**4\/2 + 3*r**3 + 7*r**2\/2 - 9*r - 2846. Give u(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -263, -272, -283, -296?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -13170)*(-4)\/(-24)*4. What is u rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225132\/(-3084) + (28 - -1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = w - 431, w - 5*b - 212 = 217. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52.68878ml?\nAnswer: 0.05268878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2 + 3*s - 7. Let q be v(-5). Let u be ((-6)\/(-9))\/(4\/q). Let c be (-2)\/(5 + -1)*-26. Calculate the greatest common divisor of c and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625352 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 - 4*a + 6. Let m be -6*(-2)\/(-2) + 0. Let d = -4 - m. Let o(l) = -5*l + 11 + 2*l**d + 3*l**2 - 4. What is -5*o(q) + 6*y(q)?\nAnswer: -q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 29*a + 15. Suppose 3*f + 0*f + 3*g = 6, -4*f + 3*g - 13 = 0. Let m(x) = x + 2. Let y(o) = f*b(o) + 5*m(o). What is the derivative of y(t) wrt t?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i + 53*i + 3095 = 2519 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 8. What is the remainder when 29 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/((g*g**(-2)*g)\/g)*g*g*g)\/g))**36\/((g\/(g*g\/g**2))\/g)**3)\/(g\/g**(-10)*(g**(6\/7)*g)\/g*g)**(17\/5) assuming g is positive.\nAnswer: g**(-1062\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20967268 is divided by 723009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1056 and 84832?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r. Let k(c) be the first derivative of 3*c**4\/2 - 19*c + 14. Let g(a) be the first derivative of k(a). Give g(w(n)).\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 32. What is the tens digit of u(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663\/35 != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 3\/5*t**3 + 12\/5*t - 12\/5*t**2 - 11. Factor r(i).\nAnswer: 3*(i - 2)*(3*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (51 + -52 - (1 - -5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*k + 3 - 35*k - 5 - 3*k**2 to b + q*k**2 + a*k and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(55)\/(sqrt(11) - sqrt(22)\/sqrt(2) - sqrt(11)) + 2 - (5 + (sqrt(5) - sqrt(125)) + -3))*-1.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -86 - -14601090\nAnswer: 14601004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42171 is divided by 213?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 694\/(-14) - (-3)\/(-7). Let h = -40 - -134. Let l = o + h. What is the highest common factor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-12))\/((-5)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 113*c - 2672. Determine p(38).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -408 + 6934\/17. Which is the closest to -1\/3? (a) f (b) 0.3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 2*p + 0*p)*(-2 - 4 + 5)*(-p + 0*p - p)*(-606*p + 220 - 220)*(3*p + 5*p - 5*p) as d*p + f*p**3 + l*p**2 + i + g*p**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166019 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1550? (a) -3 (b) 0.4 (c) -4 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 + -1.6. Which is the closest to 2? (a) o (b) 1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijiisijnnjihnjirjnjn. What is prob of picking 1 n and 1 j?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) - 2*sqrt(114))*-1)\/sqrt(216).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 + 257. What is the greatest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + -1)*-4 - (sqrt(6171) + (sqrt(6171)*-1 - sqrt(6171)) + sqrt(6171))\/sqrt(3))**2.\nAnswer: -352*sqrt(17) + 32928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Let r(q) = 3*q**2 + 0*q**2 - b*q**2. Let g(v) = 4*v. Let h(m) = -55*m. Let o(a) = 15*g(a) + h(a). Calculate r(o(c)).\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-9) - 9\/(-81)) + 45. Suppose 6 + c = 10*v. Solve v*q + 17 = -3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y - 22. Let h be q(13). Put -8, h, -2 in decreasing order.\nAnswer: h, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-52)*(1 - (-100)\/(-40)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + -9 + -63)*(-7 - ((-45)\/27 + -4))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*a + 5*f, 31 = 4*a + 3*f + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 1, n: 1, g: 2, u: 8, r: 3}. What is prob of picking 2 r and 1 n?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5 = 5*y. Is -1\/8 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -9 - (3 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 13*w + 29. Suppose 95*m + 6 = 96*m. Let b(f) = -9*f - 13. Let n(l) = -8*l - 12. Let q(d) = m*n(d) - 5*b(d). Determine -9*q(z) - 2*x(z).\nAnswer: z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/9*810\/(-540).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuu when three letters picked without replacement from qeeqcueqqeeteeet?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3195547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 36. Let m(o) = o**2 - 72. Calculate 2*m(b) + 5*u(b).\nAnswer: 2*b**2 + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106470 and 1437030?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + y - 12. Suppose -4*c + 82 = 4*n - 2*n, n - 53 = y*c. Let p be 235\/n - 2\/9. Let j(t) = -2*t + 3. What is j(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 507?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + (sqrt(304) - sqrt(304)*2) - (sqrt(304)*-3 + -5) - (-2*sqrt(304)*-4 + 1 + sqrt(304)*-1)))**2.\nAnswer: -400*sqrt(19) + 7700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*l + 2, 0*v - 3*l - 4 = -4*v. Let b be v + -2*1\/(-2). Sort -1, -0.3, b.\nAnswer: -1, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2 + 4 - (-26 + 27). Suppose -2*r = 5*l - 23, 11 = 4*r - 3*r + d*l. Solve 2*m = -5*z + 5*m - 31, -4*z = 3*m + r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47210 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 7. Let c be t(7). Suppose -95*s = -171*s + 1083 + 6517. Suppose c = 96*u - s*u + 56. What is the greatest common factor of 70 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14929, -14283, -13193, -11653, -9657, -7199?\n\"Answer: y**3 + 216*y**2 - 9*y - 15137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*t - 115, 0 = 5*d - 17*t + 20*t - 115. Suppose 20 = -w + d. Suppose -15\/8*i**2 - 3\/8*i**w + 0*i + 0 = 0. What is i?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 26 = -3*c - 0*j, -16 = -4*c - 2*j. Suppose -6*p + 7*p - c = 0. Suppose -5*o - 5*n = -270, p*o + 3*n = -0*n + 104. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 + z**2 - z + 1. Let c be o(1). Let f(j) = 605*j**2 + 6*j - 4. Let i be f(c). What is i rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 33, 37 in descending order.\nAnswer: 37, 33, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/5, 1\/7, -0.77, -12, 0.06, 1\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -104*m**3 + 9*m**2 - 4*m - 3. Let z(h) = 107*h**3 - 6*h**2 + 3*h + 2. Determine 2*t(r) + 3*z(r).\nAnswer: 113*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 18 + 16 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.98292 months in decades?\nAnswer: 2.183191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 579 - 568 = -3*t, -3*t = -4*p + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3060)\/(-150))\/(-34))\/(18\/(-55)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101000000011010000010 (base 2) to base 15.\nAnswer: -a02ecc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 9:58 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22759972*j**3 - 15257520*j**2.\nAnswer: -136559832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p**3 - 15816*p**2 - 5373*p - 179210. What is s(-1757)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103935 is divided by 34645.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 571*p - 296378 = 525*p. List the prime factors of p.\nAnswer: 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -448 + 456. What is the closest to 0 in t, 6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 171 - 5. Suppose -f - f + 2 = 0. Let o be 3 + -1 - (-9)\/f. Calculate the highest common factor of k and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -15.6, -2 in descending order.\nAnswer: -0.9, -2, -15.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -3, -1\/12, -54?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16\/183 + -8299\/732. Let r be ((-4)\/6)\/((-2)\/(-66)). Find the common denominator of (r\/2)\/(10\/9) and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6*m + 12 = 0. Calculate the remainder when 30 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -0.2. Let g = -141.87 - -149. Let f = g + -7.03. Which is the fourth biggest value? (a) f (b) n (c) 3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 6*s - 6. Let x be ((-4)\/s)\/((-5)\/15). Let q(k) = -3*k + 4. What is q(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 895027 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*v - 6*g - 29, 3*g = -5*v - 59. Let l = -5 - v. Suppose 5*t - d - 393 = -0*t, -385 = -5*t + l*d. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 10. Let a(u) = -u**2 + 10*u - 6. Calculate the remainder when w is divided by a(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 + 7*g**2 - 24*g**2 + 9*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, x: 9}. Give prob of picking 3 k.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5180 = -7238*i + 7266*i. What is the third biggest value in -0.4, 5, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -12020?\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 + 194. Suppose -u = 3*i - 5*i. Let b = -27 + i. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -15. Let l = 8.5 + i. Which is the second smallest value? (a) 3 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + -1. Let w = -81 - -76. Which is the second smallest value? (a) -2\/3 (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27532130 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.2546 minutes to nanoseconds.\nAnswer: 4935276000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153\/2 + -75. Sort n, -5, 3, 24\/11 in decreasing order.\nAnswer: 3, 24\/11, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23822996.\nAnswer: 2, 5955749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/24 - (-62)\/12. Solve t - 5*o - 13 = -3*t, -4*t = b*o + 37 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 385.95 weeks?\nAnswer: 233422560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 3 (b) -1 (c) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36592 = 5*a + s, -11*s + 9*s = 2*a - 14632. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31573610 divided by 6314722.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -7 - 18\/(-7). Sort 0.1, j, 5, -10.\nAnswer: -10, 0.1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2006 (base 8) in base 2?\nAnswer: -10000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 + 102\/(-17) - 1*3. Solve -i + g = 1, -2*g = v*i + 3*g - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 10.407\nAnswer: -41.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 - 992*y**2 + 3971*y - 3972.\nAnswer: -(y - 2)**2*(y + 3972)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {b: 1, p: 6, a: 5, c: 5, u: 3}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -25) + (-4 + -1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 18, 11, 4, 0 in descending order.\nAnswer: 18, 11, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17779, -17782, -17787, -17794, -17803, -17814?\n\"Answer: -a**2 - 17778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.22? (a) 1\/6 (b) -2\/7 (c) 78 (d) 0.698 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22566*-2.1\nAnswer: -47388.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 765 divide 29331743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**5 - 10*b**4 = 0. Calculate b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (123\/120 - 1)*(-915)\/6 and -43\/26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 7206?\nAnswer: 7201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3297.\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 - (-2)\/(4\/222)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + u + (-4 + 4 + 2)*(2*u - 4*u + 4*u) - 2*u + 2 - 2)*(47 - 84 + 45)*(-19 + 12 - 16).\nAnswer: -736*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**5\/60 - 5*g**4\/12 - 61*g**3\/2 - 4*g**2 - 749*g. What is f(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-93)\/(-31)) + -8 + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 3. Determine p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = 60*i - 4*h + 66, -4*i - 2*h - 2 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965893*w - 4 + 4.\nAnswer: 965893*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q**5 + 0 + 0*q**3 - 1\/336*q**8 + 0*q**7 + 0*q - 1\/24*q**4 + 0*q**6 - 3*q**2. What is the second derivative of s(n) wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3)*-1 + (sqrt(3) + 0 + sqrt(3))*-1 - (sqrt(432) - sqrt(432)*-1)\/sqrt(9))*4)**2.\nAnswer: 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x + 9. Suppose -x*z + 5*s = -10, 2*z + 0*s - 5*s = 10. Let g be 2\/(-10) - (-2)\/10. Does z = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 13*g - 8*g + 59027, 2*z + g - 58997 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*c**2 + 293*c**2 - 150*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**3 - 56*h**2 - 3*h - 45. Determine y(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007464 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -80. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*n\/n**24)\/n)\/n)\/((n*n\/(n**(6\/13)*n*n*n*n)*n*n)\/n))\/(n**(-28)*n**(-16\/3)))**(-44\/7) assuming n is positive.\nAnswer: n**(-18524\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86\/627 - -28180\/206283. Let c = q - 271421\/7238. What is the common denominator of c and (3\/(66\/236))\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*v + 3783 = 2*s - 145*v, 2*s - 2*v = 3792. List the prime factors of s.\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 32873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and -4.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/15 + (-3)\/(-15). Let s(a) = 3*a - 6*a**2 + 2*a**2 + 5*a**2 - 30*a**3 + 1. List the prime factors of s(w).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2171 + 2418. Let w = i + -2778. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3875398106 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26447*b**5 - 2*b**4 + 208053*b wrt b.\nAnswer: -528940*b**3 - 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2769271 to the nearest integer?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -164*r**2 - 5*r + 2. Let o be h(2). Calculate the common denominator of -17\/16 and 10\/(-80)*o\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 - 4*q. Let a(m) = -121*m + 13. Let u(r) = 56*r - 6. Let i(d) = -6*a(d) - 13*u(d). Determine x(i(o)).\nAnswer: 16*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - n = 6. Is -1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4002323, -8004638, -12006951, -16009262, -20011571, -24013878?\nAnswer: -28016183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 i when three letters picked without replacement from {i: 6, c: 4, t: 1, o: 1, a: 8}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 3*y**2 - 4*y**2 - 6 - 7*y**3. Let x(a) = 15*a**3 + 8*a**2 + 13. Let s(t) = 13*f(t) + 6*x(t). Find the third derivative of s(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -0.2 (b) 1.8 (c) 4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/120 + s**5\/60 - s**4\/24 - s**3\/6 - 2*s**2. Find o such that m(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-18)\/(-10) - 2\/(-10). Sort 1, 4, u in decreasing order.\nAnswer: 4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1295, 3, -16, -7, 1, -2 in decreasing order.\nAnswer: 1295, 3, 1, -2, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/3)\/((-98)\/126).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 5)*(57*p - 27*p + 51*p + 36*p).\nAnswer: -585*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 684 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 724578188 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-1)*a))\/a)**50*(a**1)**(2\/47))\/((a**(1\/2)*a\/(a*a**(5\/2)))\/((a*a*a*a*a\/(a*a**(1\/4)*a)*a)\/a)**1) assuming a is positive.\nAnswer: a**(901\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.7448 - 1.8245. Let c = b + 0.0797. What is the fourth biggest value in 0.4, c, 2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185544818\/102095 + 5342\/2917. Let w = j - -1816. Calculate the common denominator of -61\/21 and w.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-2)\/(12\/1)). Let u be n\/(-12) + 3\/2. Differentiate 2 + 1 + u*z + z**3 + 0*z with respect to z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**0))\/b*b)**(-13\/5)\/((((b\/b**(-6\/11)*b)\/b)\/b*b)\/b*b**(-5)*b) assuming b is positive.\nAnswer: b**(38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqq. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33386 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 130918746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**3 - 3*k**3 + 6*k**3)*(13*k + 2*k - 4*k) - 7*k**2 - 2*k**2 + 7*k**2 + 3*k**4 in the form u*k + l*k**2 + m + g*k**4 + a*k**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:14 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**3\/3 - 2*u**2 + 5*u. Let x be t(7). Let w be 2\/(-8) + 61\/4. What is the highest common divisor of x and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:17 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 213*q**2 + 116*q**2 - q. Let m be h(-1). Let g = -195 + m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 0*x + 0*x**2 + 0 + 3\/4*x**3 - 15\/4*x**4 + 3*x**5 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-270)\/300)\/(36\/(-120))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i**2 + 2*i - 34. What are the prime factors of v(-10)?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 8:53 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 6 - (-3)\/(3\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37865 is divided by 348?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-106)\/(-34) - (-28)\/(-238). Suppose z*i - d = 652, i - 4*d = -d + 228. What is the greatest common divisor of i and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79322, 158640, 237958, 317276, 396594, 475912?\nAnswer: 555230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 0.24.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 + 3*y**2 - 3. Let n(d) = -3*d**3 + 6*d**2 - 5. Let f(p) = 5*a(p) - 3*n(p). Let l be f(-4). Solve -l + 1 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/((-3168)\/1610) + -7*16\/616 and (-15)\/50*(-230)\/(-48).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 - 2*o**2 + 4*o**2 to n*o + u + z*o**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 27 = -q, -4*h - 3*q + 1 = -2*h. Solve -3*c - h = -4*m, 24 = -0*m + 4*m + c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10278)\/(-9136))\/(3\/(-40))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5540.\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.04 - -7. Let k = x + -1.96. Which is the closest to -1\/3? (a) -0.4 (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2. Let s(r) = 7749757*r. Calculate j(s(q)).\nAnswer: 120117467118098*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, 1199, 2476, 3753, 5030, 6307?\nAnswer: 7584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5808)\/14 - 18\/(-21). Let l = -403 - m. Calculate the greatest common factor of l and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1404 and -37\/403.\nAnswer: 43524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -1b09b0?\nAnswer: -1b09a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59136.96 rounded to the nearest 100?\nAnswer: 59100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -188, -339, -444, -485, -444, -303, -44?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*r**3 - 148*r**3 + 1866*r + 76*r**3.\nAnswer: r**3 + 1866*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0.107, 1.\nAnswer: -19, 0.107, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3.16. What is z rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 8. Let g = 2500 + -37517\/15. Let h = g - -9\/5. Put y, 1, h in decreasing order.\nAnswer: 1, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 + z**5 - 6*z**5 + (z**2 - z + z)*(2*z - z**3 - 2*z) + z**5 + 3*z**5 - 6*z**5 + 3*z**3 - z**5 - 3*z**3 - 7*z**5 + 476*z**3 - 476*z**3.\nAnswer: -13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33389696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/14 - -2)*(-25 + 35). Let m be (3040\/135)\/4*6\/(-56). Let z = -8\/9 - m. Sort z, 1\/8, 3, j.\nAnswer: z, 1\/8, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -80*f**5 - 55*f**3\/3 + f**2 - 25. What is the third derivative of u(o) wrt o?\nAnswer: -9600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/2 - -1 - -9. Let g(s) = s**3 + 3*s**2 - 465*s + 936. Let m be g(-24). Solve m = -2*t - y + z, -t - 12 = -2*t - 2*y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172178552 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -208, -212, -228, -262, -320, -408, -532, -698?\n\"Answer: -s**3 + 3*s - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 5. Let d be 3\/((-2)\/(4*-1)). Let j be n(d). Let t(l) = 14*l + 3 - 28*l + j*l. What is t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-16)*1\/(-3). Let l = -35274 - -35274. What is the biggest value in o, -0.1, -7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - -179. Suppose -7*z + p = -60. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v - 4. Does 5 divide d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*j + 84, -5*h + 42 = -3*j - 66. Calculate the common denominator of 0 + -2 + (-30)\/(-28) and ((-4)\/(-6))\/(h\/417).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 5*v**2 + 3*v**2 - 2*v**2 + 0*v**2 - v**2 - v**2 + 3*v**2 + 4*v**2 - 2*v**2 - 4*v**2 + (2 - v - 2)*(2 + 2*v - 2) + 2*v**2 - v + v.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/9 - 17\/(839052\/5700). Is -1 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - -109) + -47 + 6 + 24?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-9))\/((-3)\/(-27)). Suppose 3*z - 158 = -0*z - k*m, -2*z - 3*m + 102 = 0. What is the units digit of ((-2)\/6)\/((-1)\/z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 3:49 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1418\nAnswer: -2836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/21*11\/66?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*3 + sqrt(3648)*2)\/((sqrt(18)*-1 - sqrt(18))\/sqrt(6)*-4).\nAnswer: 11*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from vgvvggvgvggvggvgggvv?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -2*s**5\/85 - 5*s**4\/17 - 26*s**3\/51 + 60*s**2\/17 - 72*s\/17 + 199. What is r in n(r) = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*b - 660 = 108*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -i + 50, -224 = -4*i - 0*q - 4*q. Let n = 54 - i. Let f be n\/(-12) - 3\/(9\/(-20)). Solve -f*z - 5*x - 12 = -3*z, -5*z - 2*x + 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -64.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912591534?\nAnswer: 2, 3, 152098589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1)\/5 - 1336\/(-30). Let k = n - 257\/6. Factor 0 + k*u**3 - 3*u**2 + 3\/2*u.\nAnswer: 3*u*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 6, p: 5, t: 3, w: 2}. What is prob of picking 1 o and 1 g?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nppnngpgnp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*z + 2*z. Suppose 4*q = -5*t + 3 - 93, 4*t - z*q = -98. Let o = t - -38. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from {z: 1, e: 2, q: 2, l: 2, a: 1, h: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8\/31, 34 in increasing order.\nAnswer: -8\/31, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*h + 8 - 31*h**4 - 5 - 85*h**4 - 5 - 41*h wrt h?\nAnswer: -1392*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 5*v - 5. Let p be z(-5). Let b = -653 - -650. Let s be (-108)\/10 - (6\/(-15))\/(-2). Sort p, s, b, 5 in decreasing order.\nAnswer: 5, b, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 599 - 598.4. Let x = -0.9 - -3.9. Put x, 2\/7, u in ascending order.\nAnswer: 2\/7, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 3 + 1\/3*a**6 + 0*a + 0*a**3 + 0*a**4 + 3\/2*a**2 + 0*a**5. What is the second derivative of w(s) wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 10 - -16 - (-2 + 50)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 - 3*u**3\/2 - 3*u**2 + 5*u\/2 + 3.\nAnswer: (u - 2)*(u + 1)**2*(2*u - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -849 - -1722. List the prime factors of y.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22c + 4858?\nAnswer: 4a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -0.0103?\nAnswer: -4.9897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 14*d**2 - d. Let o be r(2). Calculate the highest common factor of o and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7291 or 7289?\nAnswer: 7289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 13 = 4*x, -9*x + j = -11*x + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) - 856\/(-40). Let z = j - 13. Is 8 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 609285, 609214, 609095, 608928, 608713, 608450?\n\"Answer: -24*s**2 + s + 609308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -183*x - 477. Is 5 a factor of o(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-6)*(-8)\/(-240)*3\/(-1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 2280.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/12 and 43\/194.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v + p = 13*v + 62, 25 = 2*v + 3*p. Solve -v*z = -39*z + 26*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -454431134 (base 6) to base 5\nAnswer: -4113340114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115 - -88. Calculate the common denominator of ((-5)\/(-40))\/(m\/(-708)) and 29\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g - 5. Suppose -m - 7 = 6*m. Let b(i) = i + 1. Calculate m*h(k) - 5*b(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8) + -151 + 151\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 812, 1987, 3162, 4337?\n\"Answer: 1175*s - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*l + 688 + 432 = 0 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 401723450 to the power of 1\/3, to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 3306537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + 4*sqrt(11)) + 6*(sqrt(176) + 0))**2.\nAnswer: 2200*sqrt(11) + 21921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1316 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166a1aa (base 11) in base 8?\nAnswer: 12651340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 540?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*i - 5*i - 3*i - 10*i - 6*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 8:48 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.46671 litres in millilitres?\nAnswer: 19466.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(143))\/sqrt(11))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (-1 - (297\/6)\/(-11))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -503405*j*v**3 + 3*j - 82534 wrt v.\nAnswer: -1510215*j*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 38. Let c(m) = -13*m**3 - 21*m**2 + 52*m + 3. Let i(p) = 3*p**3 + 5*p**2 - 13*p - 1. Let f(d) = -2*c(d) - 9*i(d). What is the units digit of f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 135, 289, 503?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 6*d + 18*d**2)*(3*d**2 + 5*d**2 + 3*d**2).\nAnswer: 198*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37749591?\nAnswer: 3, 11, 127103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = -0*s - 2*u, 0 = -u + 2. Let y = -13 - -6. Let l = y + 10. Solve r + l*k + 4 - 15 = s, 0 = 5*r - 2*k + 30 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-43054)\/(-12) - 420\/504 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 5. Let z = -248 + 235. Is s at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 215 + -218. Which is the fourth biggest value? (a) r (b) 5 (c) -0.43 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6 + 3\/(-9). Let t be (r - 1)*2\/(-4). Suppose 5*i + t*i = 445. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -22*h - 69. Let p(x) = 14*x + 46. Determine -5*d(i) - 8*p(i).\nAnswer: -2*i - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1393995 and 191040?\nAnswer: 2985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4503 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 12 = 2*k, 546*k - 4 + 2 = -5*b + 549*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 + 3*g + 12. Calculate f(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.8 + -7.4. Let m = v + 22. Is m less than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:08 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -57, -137, -23, -4, 4 in ascending order.\nAnswer: -137, -57, -23, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56674 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omjjojojom. What is prob of picking 2 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -148*t**2 - 2*t + 20. Let q(v) = 145*v**2 + 2*v - 24. Let n(g) = -5*q(g) - 6*r(g). Let f(z) = z. Give n(f(c)).\nAnswer: 163*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -4*m - 0*m. Let i = -46 + m. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 12 = -k. Suppose k*t = -t - 37600. Round t to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248080285 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23013 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 4. Let c(p) = 3*p - 9. Let z(k) = 2*c(k) - 5*s(k). Calculate the lowest common multiple of 1 and z(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28.547 times -0.06\nAnswer: 1.71282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 113*u**6\/6 + 11*u**2\/2 - 7*u + 24. Find the second derivative of y(i) wrt i.\nAnswer: 2260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 173*a - 34. Let p(u) = -172*u + 42. Determine -4*p(h) - 5*r(h).\nAnswer: -177*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -9 + (0 - -2) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12\/5 + 16\/5. Which is smaller: f or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 5. Let t be v(5). Suppose t = 5*a - 60705799 - 126294201. What is a rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -95, -90, -85, -80, -75?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 32*g**2 - 12*g - 4. Let v be d(-16). Suppose -89*a = -87*a - v. Calculate the remainder when a is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8921.\nAnswer: 11, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from {v: 1, n: 1, h: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - 64. Let u be 2072\/(-34) - 35\/595. Let a = u - j. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwccbbla. Give prob of picking 1 b and 1 w.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7666*k**4 + 37811*k wrt k?\nAnswer: -91992*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3047177*m + 4623285 wrt m.\nAnswer: 3047177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -45. Solve u*c = -5*k - 8, c - 12 = k - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 14 = -10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + -3. Let f = -6 - q. Calculate the remainder when f\/2*(-24)\/(-10) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520) + 1*sqrt(3520) + sqrt(3520) + sqrt(3520) - sqrt(3520))\/(sqrt(891)*-1).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -411 (c) 1\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*x**2 + 41*x**2 + 70*x**2 + 4*x to v*x + r + o*x**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17027 is divided by 5618?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -9. Let r(n) be the first derivative of -2*n**2 - 1 - n + 5*n - u + 1. Differentiate r(o) with respect to o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y**3 + y**2 + 11*y**3 - y**3 - 6044*y + 6046*y + 224 to the form k*y**2 + d + p*y**3 + u*y and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 244 + -233. What is the least common multiple of (-12)\/18*3 + g and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 1 = -2*h + 7, h + 11 = -3*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**4 + 55*k**2 + 0*k**3 - 29*k**2 + 2*k**3 + k - 27*k**2 - 3 as y + t*k + q*k**3 + h*k**2 + p*k**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pej when three letters picked without replacement from ripkeerjerjipei.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 8*d**2 - 12*d + 0 - d**3 + 1 + 6*d. Let w = 406 + -400. What is i(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101006412301 + -2.\nAnswer: 101006412299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 23 = -3. Let s = p - 18. Solve -2*h = 3*h + 4*o + 10, -5*o - s = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 22*u - 28 = 18*u, 2*f + 16 = 4*u. Solve -f*l - 8*z = -3*z + 10, -4*l + 28 = -2*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + sqrt(2299) + 2 + 2*(sqrt(19) + -1) + (sqrt(19) - ((2 + sqrt(19))*-1 - sqrt(19))**2)*3.\nAnswer: -240 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 e when four letters picked without replacement from sebspeesseseee.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 663 - 12 = 21*n. Solve 2 = 11*t - n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3798 minus -0.43?\nAnswer: -3797.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13368, -53500, -120402, -214074, -334516, -481728?\n\"Answer: -13385*x**2 + 23*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 1) + -199 + 190 - -12\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49375247 or 49375248?\nAnswer: 49375248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 1, o: 4, y: 3, i: 1, f: 1}. Give prob of sequence iy.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 427975609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*x - 3*m - 318, 2*x + 210 = -4*m. Let p = x + 117. Solve -z - z + p = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92.176 + -92.176040617. Round l to 7 decimal places.\nAnswer: -0.0000406","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 - 190*w**2 - 127*w - 52. Give k(64).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14915, -27688, -40461, -53234?\n\"Answer: -12773*w - 2142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 48.07 (b) -42 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + j - 18, 0 = -3*l - 2*l + 3*j + 23. Let i(s) = -s**2 + 31*s - 127. Let n be i(5). Suppose -n*u - 1 = -l. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -23 (b) 4740 (c) -51 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = p, -m + 28 = 2*p + 38 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 9*c**2\/2 - 3136. Let j(a) = 34*a. Let i(x) = 7*x. Let r(p) = -28*i(p) + 6*j(p). Calculate r(k(m)).\nAnswer: 72*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**5\/80 + m**4\/48 - m**3\/24 - m**2\/8 + 2*m + 2. Let z(v) be the first derivative of t(v). Solve z(d) = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2109 + 2108. Let z = -0.09 - -0.01. Let s = z - -3.08. Sort 0.04, v, s.\nAnswer: v, 0.04, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j - 78 + 22 + 3*j. Let i be r(-7). Solve 0 = -5*m + 5*f - 4*f - 22, i = -m + 3*f + 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 6*s**2 - 4*s - 1. Let f be a(-5). Let v(o) = -6 + 27*o - 29*o + o**2 + 9*o. What is v(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 341?\nAnswer: -18\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*j + 41955 = 0, -34*j - 28 = -27*j. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**5\/60 + 3*y**2 - 176*y. Let j(k) = 0 + 0 - k + 13*k. What is j(z(i))?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 824821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 5\/3, -26, 0.4, 2012563?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3 + -2*(-17)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 850 + -855. Is z >= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Let z(q) = 0 - q**2 + 4*q**2 + q**x - 3*q + 0 - 4. Calculate z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u + 50*u = -2*k + 133*u - 35*u + 22, 3*u = -2*k - 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2104209, 4208415, 6312619, 8416821, 10521021, 12625219?\n\"Answer: -z**2 + 2104209*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d + 0*d + 5*d + 3 - 3. Let g be 4\/10 - (-63)\/5. Let q(l) = -3*l - 1. Let h(t) = g*w(t) - 6*q(t). Let s(m) = m + 1. Give h(k) - 6*s(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1347*d - 3185*d - 3629*d in the form t*d + k and give t.\nAnswer: -5467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.204 from -2.8323462339.\nAnswer: -3.0363462339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11384629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**2\/2 + 2. Let t be (4\/(-6))\/((-240)\/117 - -2). Let w(r) = -r + t*r + 0*r. What is 22*n(l) + 2*w(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 2:36 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 30*m**3 - 2*m**2 - 4*m - 2. Suppose 12*c + 7 + 5 = 0. Let k be r(c). Let d be (-26)\/(-12) + -2 - k\/36. Solve -2*f = -j + 11, -f + d = 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 25591717\nAnswer: 2\/25591717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -3\/22 (c) 25 (d) 0.1 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -1568?\nAnswer: -156b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-4)*8\/2. Let f = 6 - c. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -258*v - 1564. Calculate h(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + 84. What is the remainder when i is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144969 and 12.\nAnswer: 579876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 14 + (5 + -7 - -6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + 0*c**2 + 2*c**2)*(-15*c + 5 + 7 - 11).\nAnswer: -90*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/66445 + -704331\/930230. Let p = s - -6\/7. Let h = -0.09 + -2.91. Which is the nearest to h? (a) p (b) -3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3626, 14581, 32852, 58439, 91342, 131561, 179096?\n\"Answer: 3658*w**2 - 19*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**4 + 140*u**3 + 207*u + 5.\nAnswer: -24*u**2 + 840*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (120\/(-9))\/8*6\/(-5). Solve -4*y + x = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q*(q**(-9)*q)\/q*q*q*q**(-12)\/q*(q**0)**(-43) assuming q is positive.\nAnswer: q**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f**8*f))\/f)\/(f**(2\/9)\/f) assuming f is positive.\nAnswer: f**(-92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225324 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 19, 0.\nAnswer: 0, 2, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, b: 3, r: 2, x: 1, i: 1}. What is prob of picking 1 i and 1 w?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5510929515?\nAnswer: 3, 5, 7, 13, 41, 59, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -203851459?\nAnswer: -8154058.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 639 - 374. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 913 and 664?\nAnswer: 7304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 78 in -2\/5, -3\/7, -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1465 and 130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -7, 1\/57 in descending order.\nAnswer: 3, 1\/57, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*m + 3 + 177 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = -5*m + 304. Suppose 4*w + 2*g = 58, 2*w = -w + 3*g + 21. Let n be 3\/w*m + -1. Which is smaller: n or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 + 177.000485. What is x rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 258, 358, 434, 480, 490, 458, 378?\n\"Answer: -k**3 - 6*k**2 + 125*k + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-10))\/(8\/20*-3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 12. What is the smallest value in -3\/2, s, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3435*o + 498*o = 3933 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7 - 61*h**5 + 6*h**3 + h - 21*h**3 + 39 - 12 + 16*h**3 wrt h.\nAnswer: -1220*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/9))**(1\/45)\/(z*z*z\/(z*z**(-5\/2))*z*z**(1\/5)*z) assuming z is positive.\nAnswer: z**(-5429\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 12 - 12 to f*v + h*v**2 + r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 13*b**2 + 6*b - 16. Let z be t(-12). Suppose 20 = 9*n + 2. Let s = 9 - n. What is the greatest common factor of s and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 185\/3. Sort -0.1, p, 0 in decreasing order.\nAnswer: 0, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(44\/8 - 5). Let r be (5 - (-295)\/(-25))\/(h\/150). Suppose -5*d = -2*d + 3*q - r, -3*d + 506 = 2*q. List the prime factors of d.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + l - 6, -5*i + l - 18 = -0. Let o be i + 159*2\/6. Calculate the greatest common divisor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 1505.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 + 2*c + 3. Let g(f) = -32*f + 4*f**2 + 2 - 1 + 30*f - 5. Give -5*b(k) - 4*g(k).\nAnswer: -k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1742636 and 26656.\nAnswer: 13941088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(245)\/sqrt(5))\/(1*sqrt(63)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -4 (c) 18 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 3:28 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l**3 - 3*l**2 - 2*l - 2. Let t(f) = 50*f**3 + 10*f**2 + 7*f + 7. Give 7*k(h) + 2*t(h).\nAnswer: -19*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 22*o - 840. What is y(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6750913?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v = 0. Let i(f) = -3 + 2*f + 5 + v*f + 13. Let n be i(-5). Solve -n*j = -7 - 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 29. Suppose 0 = -5*b - 0*b. Suppose 3*w + 161 = 5*g, -3*g - w + 5*w + 90 = b. Calculate the remainder when g is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2\/5 (c) -5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-5*i + 3*i + 3*i) - 46 + 46 + 5*i + (2*i + 2*i - 6*i)*(0 + 1 + 1).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 14*t**3 - 11*t**3 + 4 - 5*t as u + g*t**2 + v*t + z*t**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8 = 2*j - 4*d, 0 = 2*j - d + 2. Let f be -1 + 1 - (-705)\/235. Factor -2\/11*n**f + j + 6\/11*n**2 - 4\/11*n.\nAnswer: -2*n*(n - 2)*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 = -2*j, -4*u - 4*j + 3*j + 66 = 0. Let b be -2 - (u\/(-1))\/4. What is the derivative of -4 + b - 37*w**4 + 32*w**4 wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-2 + 26\/6). Let i = a + 4. What is the remainder when 41 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 + 3944*x**3 - 144384*x**2 + 273024*x = 0. Calculate x.\nAnswer: 0, 2, 36, 948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - sqrt(300)\/(1*sqrt(12)) - sqrt(25))\/sqrt(5) + (sqrt(405)*-2 + 2)**2.\nAnswer: -73*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + -11 + 0 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 20*y**2 + 20*y - 16. Let i be w(19). Suppose -8*a = i + 45. What is the units digit of (-156)\/(-2 - a)*(-5)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 w when four letters picked without replacement from wwnwwnnwwwwnwwwwwwww.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - -0.1. Let d = t - -1. Let p = -0.6 - -0.1. Put p, d, 0.1 in decreasing order.\nAnswer: d, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176 + -151. Let p be 2 + 15*10\/s. Solve 3*l + 2*k - p = -0*l, -2*k = l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 - 24*p + 1. Let b(l) = -3*l - 1. Determine b(i) + m(i).\nAnswer: -3*i**2 - 27*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12206 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 763, 2, 0.5, 16, 1\/3 in ascending order.\nAnswer: 1\/3, 0.5, 2, 16, 763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1174.6 - -1174.4. Which is the closest to i? (a) -0.3 (b) -2\/3 (c) -3\/8 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-5 - (-309)\/63). Calculate the greatest common factor of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 times 3834\nAnswer: -138024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5240 = 4*x - 4*b, -2*x + 16*b + 2614 = 11*b. Suppose -2*h - 3*h + 5*a + 3355 = 0, 0 = 2*h + 4*a - x. Is h a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 169*q - 32. Is c(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 273034742 to the nearest 100000.\nAnswer: 273000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55582 - -6?\nAnswer: 55588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2057))**2 + 4 + 0 - -6*5*(sqrt(2057) + 1).\nAnswer: 308*sqrt(17) + 2092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24717093.\nAnswer: 3, 8239031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + (-35 + 55 - -14)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = -218 + 493. Solve -4*p + 3*r - 15 = 0, -14*p - 5*r = -9*p - d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -574 - -346. Let m = -2054\/9 - k. Let q = -4 + 1. Which is the biggest value? (a) q (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.12, 747, 4?\nAnswer: 747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5675 - 5679. Sort 8, -5, y, 2 in descending order.\nAnswer: 8, 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**2\/5 - 48462*h\/5 + 398397 = 0. Calculate h.\nAnswer: -16195, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mnfm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 0\/2)\/((-18)\/(-24)). Let k(o) = -o**2 - o**2 + 4*o + z - 8 - 12*o. What is k(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, e: 4, k: 2}. Give prob of picking 3 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9602*o + 9246. Let x(w) = -3201*w + 3058. Let d(b) = -3*s(b) + 10*x(b). What is the derivative of d(p) wrt p?\nAnswer: -3204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -6. Let y(p) = -p**3 - 4*p**2 - p + 1. Let l be y(n). Suppose k = 5*x - 0*x + 42, l*x + 136 = 3*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3713 (base 11) in base 16?\nAnswer: 12f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6 = 2*f. Let d be 10\/(5 - f) - -2. Let h = -3 + d. Solve 2*t = -t - 4*x + h, -2*x = -8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*45\/6*(-8)\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2974*f**3*q - 8587*f**2 - 2*q wrt f.\nAnswer: -17844*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00912 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/8 - 2\/8. What is the second derivative of v*i - 5*i - i - 12*i**2 wrt i?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 - 65. Let x(h) = 9*h**2 + 15*h - 32. Is x(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 11*j**4\/12 + j**3 - 3*j**2 - 41*j - 7. Let x(s) = -99*s**2 - 55*s + 55. Determine 55*g(r) + 6*x(r).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -54 + (-3 - 2) + 4 + 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from vevvvvvvevvvvvvvvvvv.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00249343034 rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5190.1 + -4707. Let z = -483 + j. Which is the closest to 2? (a) -0.5 (b) -1 (c) 4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 54?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, p: 2}. What is prob of sequence npn?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 11*j + 1483063 = 8*j, -2*h + 1483039 = 5*j. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 53, 3\/170, -0.3, -0.1, 5, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2100613 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 15231010530?\nAnswer: 15231010533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 26, 74, 162, 302, 506, 786?\n\"Answer: 2*u**3 + 2*u**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 8*f**2 - 2*f + 8. Let z be v(8). Let r be (-27)\/2*z\/12. Let c = r + -4. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l - 7*l - 2112. Suppose 6*r - 2*r - l = 4*b, 3*r = -12. Let z = 115 + b. Calculate the remainder when 133 is divided by z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28053789*f**2 - 1767755 wrt f.\nAnswer: -56107578*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clcc when four letters picked without replacement from cccl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000194376 rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/21311605 and -23\/70?\nAnswer: 42623210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(108) + sqrt(108) + 1*sqrt(162)\/sqrt(6))**2 + -5 + 2 + sqrt(243) + ((sqrt(27) - (0 + sqrt(108))) + sqrt(27))**2.\nAnswer: 9*sqrt(3) + 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 + 199. Suppose 263 - 98 = -5*w. Let l be (w\/(-6))\/(-11)*-204. Calculate the highest common divisor of f and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145142107 divided by -1?\nAnswer: 145142107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1476, 1464, 1436, 1386, 1308?\n\"Answer: -q**3 - 2*q**2 + q + 1478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3187 + 139 = -2678. Which is bigger: x or 1499?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(88) + (sqrt(88)*-1 - sqrt(88)) - sqrt(88) - sqrt(88))*5*6*-1)\/(-2*(sqrt(32) - 4*sqrt(32)*2)).\nAnswer: 45*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = l - 446. What is l rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 9*t**2 - 9*t - 8. Let r be m(-8). Suppose 5*w + 3 = -5*l - 2, 3*l - w - 17 = r. Suppose -l*a + 762 + 1178 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 69 = -4*v, 5*v + 300*k - 66 = 598*k - 301*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4450644 to the nearest integer?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:41 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.37*9.864274\nAnswer: 3.64978138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -188\/323, 2\/3, 1, -8, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(120)\/sqrt(6) - sqrt(320)\/sqrt(4))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*g + 2441 - 791. Calculate the remainder when 107 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111100001002 + 21?\nAnswer: 1111100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from {w: 4, e: 1, q: 6, n: 2, p: 4}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 3947 + 2248 = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/15)\/s*s)\/s*s**(-5\/3)*s*s**(-3\/22)\/(s**(-13)*s*s))**(-50) assuming s is positive.\nAnswer: s**(-5095\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -53\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + (6 - -1))\/((-4)\/(-2)). Which is the fourth smallest value? (a) -0.2 (b) -1 (c) v (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyyuu. What is prob of sequence uyuu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/685 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.021 + -7.021. Let t = 7.5 + f. Which is the nearest to -0.4? (a) 0 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14228412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.41.\nAnswer: -0.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -497173686*x**4 + 383410571*x**2 wrt x.\nAnswer: -11932168464*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(833) - sqrt(833)*2)*-1 + -3))**2 + (4 + sqrt(833) + 2 + 4)*-3.\nAnswer: -63*sqrt(17) + 812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 918 = 13*z - 2*u, u + 451 = z. Let h = 1118 - 754. What is the greatest common divisor of z and h?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 1. Let p(u) = 2*u - 3. What is 10*g(w) - 4*p(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 336 (base 12) to base 5\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 875 or 7862\/9?\nAnswer: 875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) -2\/15 (c) -2\/11 (d) -1\/25323 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-42))\/((-6)\/18))\/((-9)\/(-21))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 489ed (base 16) in base 6?\nAnswer: 10213033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -5*p**3\/3 - 510. Let r be (-2)\/4*(-6 + 2). Let o(b) = -3*b**2 + 3*b**2 - 3*b**r. Give o(g(i)).\nAnswer: -75*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6109777 rounded to 3 decimal places?\nAnswer: 0.611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quhcwut. Give prob of picking 2 u and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -3*k + 161 - 154, -k = 2*q - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 3. Suppose 0 = 3*b - 14 - 4. Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)\/v**(-1\/3))**(-27)*(v*v*v*v*(v\/(v*v*v**2))\/v*(v\/(((v*v**(-5))\/v)\/v))\/v)**44 assuming v is positive.\nAnswer: v**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 - 240\/16 - 54\/(-2). Calculate the greatest common divisor of w and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*v + 10*v + 28*v + 2*v + 16*v)*(8*v**2 - 1 + 1).\nAnswer: 520*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 12. Suppose -27*y = -16*y + 627. Let s = y + 62. Solve 3*h - p*h - 23 = -s*w, 9 = -h + 2*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21301210 is divided by 254.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-30)*10)\/(-6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*k - 22, b + 0*k + 1 = -4*k. Suppose -15 = b*a - 2*a. Suppose 15 = -3*y, -n - y - 22 = 3*y. Put n, a, -4 in descending order.\nAnswer: n, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82226, 329278, 741032, 1317488, 2058646, 2964506?\nAnswer: 4035068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 3 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -39. Let w be -4 - m - 10*4\/(-8). Is 28 a factor of w - 1 - -1*324\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 a factor of 219019951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/20*(1 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87196 is divided by 43552.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -593 divided by 7.\nAnswer: -593\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-207)*24\/(-32).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -10\/3*y**3 + 0*y**2 + 0*y - 9. Let p(z) = z. Calculate p(m(r)).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39255)\/(-135) - (4\/(-18) - 0). Let p = -281 + l. What is the remainder when 35 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.37 + 0.67. What is the closest to -1 in -22\/9, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -2 + (-11 - 12 - -22) - (22 - 21).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t, 0 = -2*j - t - 127 + 1567. Suppose -723*r = -j*r - 3960. What are the prime factors of r?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) 1.4 (c) 475001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 32, 83, 176, 323?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Find f, given that -14*f**2 + x + 4*f + 0 + 0 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 3*x**2 + 2*x + 3. Let q be 2\/10 + (-340)\/(-50). Let v(w) = -3*w**3 + 7*w**2 - 5*w - 7. What is q*y(c) + 3*v(c)?\nAnswer: 5*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2. Let b(h) be the second derivative of 75*h**4\/4 - h + 1. Calculate b(s(d)).\nAnswer: 900*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -1126 + 1138. Let d(c) = -2*c**2 + c - 5. Calculate d(b).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 888*z - 129194 = -2526*z + 61990 for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2) - -1)*-4. Suppose 2*n = 3*n. Differentiate g**2 + n + g**2 + r*g**2 + 4 with respect to g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8241 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/9 + 14*g = 0. What is g?\nAnswer: -63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1807871 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-168 - (-6)\/3). What are the prime factors of (-2)\/(-7) - j\/21?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376530 is divided by 474?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4.5. Let y = 15 - 11. Suppose -6 = -2*l - 2. What is the nearest to l in y, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 + 7\/((-14)\/(-4)). Let i = 20 + r. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(5*z**3 + 4*z - 13*z**2 + 13*z**2) + 19*z**3 - 11*z**3 + 19*z**3 + (-2 + 3 + 2)*(2*z**3 - 5*z**3 + z**3).\nAnswer: -4*z**3 - 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 4898822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 12:22 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1076*j + 533*j + 545*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 98518863 a multiple of 1679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*p - 12, -d - p = -3*p - 8. Suppose d = 2*a - 140 + 28. Let y be ((-14)\/a)\/(1\/(-20)). What is the second smallest value in y, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 54 = 34 - 24 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183 and 1525?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -2106527?\nAnswer: -19\/2106527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t**4 - 30*t**3 - 240 with respect to t.\nAnswer: 12*t**3 - 90*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -0.1. Let g = -80.1 + -13.9. Let t = g - -93.5. Which is the closest to -1? (a) z (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 64\/2 + 37 + -45. Let y be 18\/(-6) - 67*-1. What is the greatest common factor of y and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7 = 8. Let r be z - ((-9)\/3)\/3. Let k(x) = 4*x**2 - 3*x + 7. Is k(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-6)\/4*18*42\/756?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, e: 1, i: 1, j: 1}. What is prob of sequence iii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-6))\/((-3)\/(-6)). Let t = -0.05 - -0.35. Which is the closest to f? (a) 0.5 (b) -4\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-10)*80\/12*6. Suppose m*c = -c + 125. Let u = -2 + 3. What is the greatest common divisor of c and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, v: 1, y: 1, c: 2, o: 2, l: 1}. What is prob of picking 2 c and 1 y?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 1783425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*i - 330*i = -39996. Calculate the remainder when i is divided by 47.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 11*p. Let u(q) = q. Let f = 3279 + -3278. Determine f*g(l) + 6*u(l).\nAnswer: -l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7425)\/(-396) + 28 + -51?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671950889?\nAnswer: 467, 1438867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 53*k**3 + 1060*k**2 + 2*k + 9. Determine q(-20).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9c7 - 5?\nAnswer: -9cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/26401 in 3, -1, -7, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvggnnggfn. What is prob of sequence vfng?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-12)*9\/42?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3390*a - 236 = 3508*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 41 + 10*f - 23 - 21 + f**2. Let w(m) = 10*m - 4. Let x(r) = -2*o(r) + 3*w(r). Determine x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -2. Let k be (-2)\/w - (-360)\/35. Let j = 21 - k. What is the smallest common multiple of 7 and j?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2629 is divided by 662?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 111?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 52. Suppose -5*w - i = i - 1, 4*i = 5*w - t. List the prime factors of -1 - (-208 + 4 + w).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = 5*f. Let k(b) be the first derivative of 1\/15*b**3 - 1\/5*b - 1\/20*b**f + 1\/10*b**2 + 1. Factor k(p).\nAnswer: -(p - 1)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 - (-5 - -10)) + (2 - 15) - (3 + 3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -25*g + 9*g + 7*g + 7*g. Let c(s) = -s**3 - 3*s**2 + 5*s - 2. Let n be c(-4). Let m be 1\/(1\/n*-3). Calculate u(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**1)**2\/((z*z\/z**(3\/4))\/z**9))\/(z**5*(z**(1\/3)\/z)\/z)**(6\/23) assuming z is positive.\nAnswer: z**(633\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313 - -22?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -248 equal to -232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 5)*(-f - 3 + 3) + (1 - 3 + 3)*(3 + 2*f - 3))*(-16*f + 30 - 30).\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27*-88*1092\/(-679536)?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-20) - 41\/30.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 10*t - 5*d + 12, 2*t - 5*d + 16 = 0. Suppose g - 4*k + 1180 = 6*g, -t*k = g - 236. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 4:48 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)\/k*k**(-6))**(4\/11)*(k**(-1))**(17\/2)\/(((k\/(k*k**(-1\/2)\/k))\/k)\/(k\/k**(-3))) assuming k is positive.\nAnswer: k**(-82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2855.4 - -2852.4034. What is t rounded to 2 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (2 - (-26 + 17))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2653*b**2 + 1244*b**2 + 1353*b**2 + 25*b**3.\nAnswer: 25*b**3 - 56*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -3\/2 (c) 0 (d) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a75a9 (base 13) to base 15.\nAnswer: 6b498c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275033267 is divided by 1643?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 435\/(-87) - (-3 + 4)\/((-1)\/549)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.5 in -0.435, -0.1, -4, 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00091 to five dps.\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 3. Let j(f) = -2. What is -i(q) + 12*j(q)?\nAnswer: 3*q - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*q - 2)*(5 - 3 - 1) - q - 3*q + 2*q + (2*q + 2*q - 3*q)*(-3 + 0 + 2) as c + t*q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -586983*8\nAnswer: -4695864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2627, -2623, -2617, -2609?\nAnswer: -2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -289.998 and -2.67.\nAnswer: -292.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h**3 - 2*h**2 - 2*h - 1. Calculate the remainder when 29 is divided by j(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 48 - 148. Let x be ((-2)\/14 - b\/(-56))*-4. Solve w - x*w = 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1. Let n(u) = u**2 - 4. Let q(y) = n(y) + 4*x(y). Let w(k) = 7*k + 0*k - 10*k. Determine w(q(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(132)*2)\/sqrt(432))\/((-5*sqrt(64)\/sqrt(2))\/(1*sqrt(8)*-1)).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 19 = 2*x, 6*x = 4*x - 2*k + 18. Suppose 0*q = -10*q + x. Let o = -0.1 + 0.2. What is the closest to 1\/2 in o, q, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788981.\nAnswer: 13, 61, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Suppose 5*g + 45 = 3*z, -2*z - 2*z + 60 = -4*g. Let f be 24\/z - 6\/10. Solve p = -l - f, -s - 14 = 2*s + 5*l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -11. Solve 1 = 3*h - c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40133974 to the power of 1\/2, to the nearest integer?\nAnswer: 6335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -3, 117, -3\/2, 1307\/4 in decreasing order.\nAnswer: 1307\/4, 117, -0.01, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 1\/4*x**4 + 0*x + 0*x**3 + 45*x**2 + 0. Let w(h) be the first derivative of -h**3 + 15. What is w(r(i))?\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7200907 litres to millilitres.\nAnswer: 720.0907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 50, 101, 156, 215, 278, 345?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -197 - 13. Suppose 0*h = 3*h - p. Suppose -f + h = -4. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 2. Let m(n) = n**2 + 5*n - 5. Let a be m(-5). Let t = a - -5. Let q be x(t). Solve -2*g - 19 = 5*r + q*g, 0 = 5*r + 3*g + 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86)\/((-9804)\/(-171)))\/((4\/(-2))\/(-20))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 245*k + 9170. Calculate n(33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 112 = 10*v. Let m = 619 - 513. What is the smallest common multiple of m and v?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9*q + 99. Let d(t) = 26*t - 300. Let k(a) = -3*d(a) - 8*r(a). Let x be k(18). Is -13\/36 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 141710?\nAnswer: 1842230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**3 + 8266347*x**2 - 8266347*x**2.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + 1300244?\nAnswer: 1300230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149 - 142. Suppose 0 = 2*c + 4*w - 16, -2*c + 5*w + 48 - 14 = 0. Suppose -4*l + c = -0. Solve l*h = -t - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, q: 2, v: 1, n: 2, r: 2}. Give prob of picking 1 q and 1 c.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45454 is divided by 238?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175953, -176033, -176149, -176307, -176513, -176773, -177093?\nAnswer: -177479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5 = -0*q - 2*x, 4*q - 5*x = 5. Which is the second smallest value? (a) -0.2 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 11*a**2 - 23*a + 6. Determine k(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 4. Let y be n(6). Let j(g) = -g**2 - 11*g - 22. Let h be j(-8). Solve -8 = 4*p, h*p + 8 = -d - y*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - s + 88200 = 0. What is the greatest common factor of s and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/83 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 891*c - 5. Is h(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.2 + -1.8. Let q = 711 + -731. Let f = z - q. What is the third biggest value in f, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 232 + -220. What is the remainder when x is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942602.\nAnswer: 2, 471301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.51 - 19.74. What is n rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 6\/24*(12 + 376)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 468, 437, 406, 375, 344?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**6\/720 - o**5\/30 - o**4\/3 - 4*o. Let n(h) be the third derivative of y(h). Determine n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, -8, -5 in descending order.\nAnswer: -5, -8, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5550)\/11655*(-6)\/(-10)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -137*c**5\/20 + 479*c**4\/12 - 689*c. What is the third derivative of w(s) wrt s?\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1522 = -665*x + 8172 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5*1 - 18*(-36)\/81\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271474 by 4.\nAnswer: 135737\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 231483*h**2 + 3 - 231485*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1812208159 and 0.3.\nAnswer: -1812208158.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101111100010 - -1010100?\nAnswer: -11101110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-65)\/(-10) + (-21)\/(-6) + -3. Let g be (1 - 2)*-6*1. Find the first derivative of i*y**4 + 6*y - 4*y**4 - 6*y - g wrt y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 686, -2\/15, 25, 1, 2\/3, -2\/5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 12:37 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1801770, 1801767, 1801762, 1801755, 1801746, 1801735, 1801722?\nAnswer: 1801707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -165*s**2 + 18*s. Let r(q) = 164*q**2 - 23*q. Let w(t) = 5*g(t) + 4*r(t). Let v(z) = 2*z. Give w(v(j)).\nAnswer: -676*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 2*g + 13. Let b be z(0). Suppose 4*n + b + 15 = -4*u, -17 = u + 3*n. What are the prime factors of 0 - -17 - (u + -1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s + 40*s = -3*y + 136, -4*y + 0*y + 188 = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2002 + 2013. Solve 25*c - 22*c = 4*a + v, 5*a = 2*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*p + 3. Let g = p + 3. Let y = 27 + g. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 39 = q, 0 = 3*q + 172444*o - 172440*o + 43 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 + 5 - 5)*(-28*s + 4 - 5*s - 6) in the form q*s**3 + u*s**2 + v + a*s and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21629, -43256, -64883, -86510?\nAnswer: -108137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3756495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20707 equal to 18277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/252 and ((-851)\/12)\/(-23) - 1?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3 - 1. Let q be (-4)\/18 + 58\/18. Solve -u + q = a*d, 3*u - 6*u = -15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 11 (c) -0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*z - 21*q - 115*q = -279*z + 540, 0 = -5*q - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163504, 163499, 163482, 163447, 163388, 163299?\nAnswer: 163174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, h: 5}. Give prob of sequence hhhe.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**7\/8820 - s**5\/420 - s**4\/8 - 2*s**2. Let j(w) be the second derivative of b(w). Factor j(u).\nAnswer: 2*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**4\/6 - 4*l**3\/3 + 13*l. Find the second derivative of v(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 80*j**3 + 4*j**2 + j - 46. Let g(u) = -77*u**3 - 6*u**2 - u + 47. Calculate -2*g(k) - 3*h(k).\nAnswer: -86*k**3 - k + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*r - d + 1781, 0 = -r + 5*d + 370. What is the remainder when r is divided by 7\/63 + (-3072)\/(-54) + -6?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -395 - -394.9. Let n = -3.2 + -0.8. What is the closest to v in n, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -2 (c) -50 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56248 = 9263*s - 232288 - 54195 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 8:44 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 6037*l - 60200. Determine i(-10).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 222*k - 95*k - 119*k + 64*k**2 + 98*k**4 + 154*k**3 = 0?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 393 - 189 - 202 - 6*w**2 - w. What is c(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*s = -64*s + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 10*x**2 + 10*x + 16. Let p be z(11). Let o = p + -3. Suppose 5*u - 3*u**o + 3*u**3 - u**4 - 3*u - u = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -20 + 15 + 49 + 2*g - 3*g. What is the remainder when 45 is divided by w(21)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0 (base 16) to base 15.\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 + 3018448 + 3018461 + x**3 - 6036932.\nAnswer: 9*x**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18822338\/227 + 82918. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*x, -x = -3*x + 4*a - 8. Let r(d) = -2*d**2 - 4 - 7*d**2 - x*d + 10*d**2. Let w be (2\/3)\/(18\/(-81)). What is r(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -163. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2*(-5)\/(-2). Suppose v*q + 0*q = 20. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256 + -260. Let b = 1 + 1. Suppose l - 3*r + b = -8, -5*r + 15 = 0. Sort 0, x, l in decreasing order.\nAnswer: 0, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -787, 4, -3, 2\/3, -2\/5 in descending order.\nAnswer: 93, 4, 2\/3, -2\/5, -3, -787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9631913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146 + -146. Suppose -3*d + 4*n + 17169 + 2640 = w, -4*d = -n - 26399. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 39*i - 292. What is m(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + 220421?\nAnswer: 220402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 11*k**2 - 12*k - 12. Let i be v(-10). Let y be 3\/(-6)*-6*1. Suppose 0 = 4*b + l - 23, -4*l = 3*b - 19 - 8. Solve b*o - i = y*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 6:11 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 + 91315*i\/3 + 4289596\/3.\nAnswer: (i + 47)*(i + 91268)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/428732 and 59\/176.\nAnswer: 18864208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a - 53. What are the prime factors of y(-18)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(9\/2*(-51)\/2754)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -376 * -149070\nAnswer: 56050320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3484 and -99\/52?\nAnswer: 3484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 2*u + 12, u - 212 + 217 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -132b (base 16) in base 9?\nAnswer: -6652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - a = 0, 14*q - 9*q - 22*a - 34 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 111*a + 3084. Let t be w(56). Let s be (0 - 1)*(0 - 1). Let x be -1 + (2 - s)*7. What is the greatest common factor of t and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10104022 to the nearest 100000.\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -10. Suppose -4*y + 33 = 5*p, 0*p + 3*p = 4*y + v. What is the second derivative of -2*q**y + 3*q**2 - q + 0*q**2 wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 127925109.\nAnswer: 25585021.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 4*j + 4, -4*p - 31 + 11 = -4*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4 - 57*h**3 + 433*h**2 + 1713*h + 1222 = 0. What is h?\nAnswer: -2, -1, 13, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-11) - (-84)\/22. Suppose 0 = x - 4*v + 11, -x + i*v = 2*v + 5. What is the remainder when -1*(-37)\/x + 0 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -5. Suppose g - 115 = -z*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 704.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2006 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {a: 2, b: 2, h: 1, e: 8, l: 4, x: 3}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0373 and -1?\nAnswer: -0.0373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 13 = 5*x, -2*v + 4*x - 12 = -4*v. Let t(n) = -n**3 + 8*n**2 - 6*n + 5. What is the lowest common multiple of t(v) and 11?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7381651 (base 9) to base 8.\nAnswer: -17044607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 + 2*u**2 - 1. Let d = -2 - -3. Let w be l(d). Suppose -w*i + 21 = 2*h + h, -2*h + 31 = -3*i. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:16 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.50363717 - -0.5037. What is f rounded to six decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77678 - 21330 - 21481 = -2162*g + 583 for g.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + 9 + -11 - 22.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(240)\/(sqrt(40)\/sqrt(8)) + sqrt(48))\/(sqrt(20)\/sqrt(5)*3).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 435\/75 - (-1)\/5. Solve -7*w + i*w = -5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-21) + 608\/12. Which is smaller: 44 or g?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -265835 and -9?\nAnswer: 265826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvfxgvvgfvbf. Give prob of picking 1 x, 2 g, and 1 b.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziztifttjjtf. Give prob of sequence ft.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.9, 0.4, 2, -3, -67?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Suppose 0 = z*n + 6 - 18. Let w(a) = -a**2 + 6*a - 8. What is w(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5957*a + 300*a - 6511*a to b*a + p and give b.\nAnswer: -12168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 8 = -2*j. Suppose 0 = -3*i - 3*w, -3*i + j = -4*w - 6. Find the third derivative of 3*f**2 - 5*f**i + 5*f**5 - 2*f**5 wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p - 6*p)*(9 - 11 - 10)*(-2*p - 4 + 1 + 10).\nAnswer: -144*p**2 + 504*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/428976 and -41\/993.\nAnswer: 428976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 33. What is o(-10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -87\/2*q**2 + 0*q**3 + 1\/6*q**4 - 9 - 19\/20*q**5 + 7\/30*q**6 + 5*q. What is the third derivative of i(n) wrt n?\nAnswer: 168*n - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99150 rounded to the nearest 1000?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38954*l**2*p*w**2 + 30*l**2*p - 2*l**2*w**2 + 4*l*p*w - 298*l*w**2 + 7*p + 16*w**2 wrt l.\nAnswer: -77908*p*w**2 + 60*p - 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 8*j**2 + 7*j - 3. What are the prime factors of k(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15 - 9*y**2 + 145*y - 145*y - 2 wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 12) to base 5.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1441851 is divided by 9942?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(1900) + -5 + -4*(-1 + sqrt(1900)) + 2 + sqrt(1900) + 1 + -4)**2*-2.\nAnswer: -15208 - 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 41*q - 8624. Let i(p) = 49*p**2 + 1. What is u(i(g))?\nAnswer: 2009*g**2 - 8583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -11. Let x be 8\/32 + (-14)\/(-8). Let k be 33\/5 + x\/q. Solve k = -4*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -281*g**3 - 221*g**2 wrt g.\nAnswer: -1686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62391 is divided by 327?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1118 - 1102. What is the remainder when 4508 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1138, -2214, -3242, -4198, -5058, -5798?\nAnswer: -6394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (813*g + 226*g - 1778*g - 1668*g)*(-2*g**2 + 0*g + 0*g).\nAnswer: 4814*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -512 - -360.6654.\nAnswer: -151.3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-28))\/(12\/(-48))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -876, -2196, -3516, -4836, -6156?\nAnswer: -7476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.463? (a) -0.5 (b) -2\/7 (c) 36\/5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11.13676 times -6\nAnswer: 66.82056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssslssssllsssl. What is prob of picking 3 l?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 329008187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 1 + 7 - 20 + 3.\nAnswer: -5*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t - 52*t = -3*j - 12, -8 = -5*t + 2*j. Which is bigger: 2\/2483 or t?\nAnswer: 2\/2483","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -2*l + 14, -4*l = -134*t + 139*t + 35 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, k: 3, u: 5}. Give prob of picking 2 t and 2 u.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 101*k - 37*k - 35*k - 31*k. Let l(v) = 39*v**2. Determine l(j(m)).\nAnswer: 156*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/4 + 48*b**2. Let c(a) be the third derivative of -a**5\/30 - a**2. What is c(m(t))?\nAnswer: -450*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*r + 3*i, -r - 5*i - 3 - 12 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-26) - (4\/(-13))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + ((sqrt(5) - (sqrt(800) - sqrt(50))\/sqrt(10)) + -2)*-6.\nAnswer: 11 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-118)\/29 - 4\/(-1). Which is the smallest value? (a) w (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -999 - -1403. Let c be x + 2 + -4 + (1 - 0). What is the highest common divisor of c and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3398, -10993, -23650, -41369?\nAnswer: -64150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n = 247 - 61 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 440.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*2)\/((sqrt(120)\/sqrt(3))\/sqrt(4)))**2 - (sqrt(288)\/sqrt(108))\/(1*(sqrt(8) - (sqrt(24)\/sqrt(3) - sqrt(8)))).\nAnswer: -sqrt(3)\/3 + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o. Let b(u) = -11870096*u. Calculate b(a(i)).\nAnswer: 94960768*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-174)\/(-18))*(-138)\/(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -45.9834137 - 1407\nAnswer: -1452.9834137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3524, -3535, -3546, -3557, -3568, -3579?\n\"Answer: -11*r - 3513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 225*t**2 + 6*t. Let b(q) = 4501*q**2 + 119*q. Determine -6*b(p) + 119*c(p).\nAnswer: -231*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378036 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(3*(0 + sqrt(320)*2) - (sqrt(320) - (sqrt(320) + 4*(sqrt(320)*-2 - sqrt(320))))*1)**2.\nAnswer: -57597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064205 >= 1064290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a. Let s(x) = -7*x**2 - 24*x**2 - 20*x**2. What is p(s(m))?\nAnswer: -102*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (329\/(-141))\/(21\/7)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*o - 194. Let u = -53 - o. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 627 = -3*s + 2*z, -5*s - 5*z + 1040 = 0. List the prime factors of s.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 7 = 3*p, -5*d + 4*p - 3 = -33. Is (d\/3)\/(12\/75042) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9707 or 9649?\nAnswer: 9707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9230852*f*x**2 - 11755887*x**2 wrt f.\nAnswer: -9230852*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5\/4 - 33*k**4\/4 - 12*k**3 + 33*k**2 + 36*k = 0. What is k?\nAnswer: -2, -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaoo when four letters picked without replacement from {a: 1, r: 3, o: 2, u: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 16*g - 106. Let l be y(21). Let s be 11\/3 + (l - 2). Factor -4\/3*k**2 + s*k**4 + 2\/3 + 0*k**3 + 0*k.\nAnswer: 2*(k - 1)**2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, y: 1, w: 1, a: 1, p: 2, k: 3}. What is prob of sequence kyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2479 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a*a**(-7)*a*a)**(-14)*(a**5*a\/(a**(3\/5)*a))\/((a*((a\/(a\/(a\/(((a*a\/a**1)\/a*a)\/a))))\/a)\/a)\/a**(-6)) assuming a is positive.\nAnswer: a**(692\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -67. Let v be (1 - -1) + 0\/(-2). Let f be 48\/(-5) + v\/(-5). Sort f, n, 1\/7.\nAnswer: f, n, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 10*v - 8. Let w(h) = 3*h**2 - 20*h + 17. Let u(m) = 3*w(m) + 5*z(m). Find the first derivative of u(j) wrt j.\nAnswer: -2*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) 0.26 (c) 285 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**3 + 18*c**2 + 24*c + 68. What is the units digit of g(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17166, -68610, -154356, -274410, -428778, -617466?\n\"Answer: -h**3 - 17145*h**2 - 2*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4483 - 121043\/27. Sort a, -0.014, -4 in decreasing order.\nAnswer: -0.014, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1283*d**5 + 2*d**4*t**2 + d**3*t + 1341*d**2 + t**2 wrt d?\nAnswer: -76980*d**2 + 48*d*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 729770 to the nearest ten thousand.\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 415587 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -2*n. Suppose n*w - 16 + 1 = 0. Suppose 24 = 2*u + 2*u. What is the least common multiple of u and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 = 0, -2*z = 5*w - 0*w + 9. Let u(l) = 3*l**2 + 2*l - 1. Does 32 divide u(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i, -5 = 3*w - i - 2. Let z be (-142614)\/(-540) + w\/10. Calculate the greatest common divisor of 24 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -6*c - 2*n, 28 = 3*c + 2*n + 17 + 20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11781*l - 5893*l - 5888*l + 10*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-21 + 21)\/((-2 + 3)\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -43?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -12, -17, -38, -81?\n\"Answer: -i**3 + i**2 + 9*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**3 + 300*u**2 + 21256*u - 1517760 = 0.\nAnswer: -72, 62, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2273, 2261, 2237, 2195, 2129, 2033?\nAnswer: 1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*u + u. Let v be 1\/4*8\/u. Let c(i) = i**3 - 8*i**2 - 2*i + 16. Let d be c(8). Which is smaller: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510*u + 197*u**2 - 977*u - 19*u**2 + 467*u.\nAnswer: 178*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010999 to seven decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5 - 3472*c**4 + 28204*c**3 + 150904*c**2 + 203328*c + 84096 = 0 for c.\nAnswer: -876, -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + -290?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -19. Suppose -20 = 3*s + s, 0 = -m*n - 4*s - 116. Let h = n + 68. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, v: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51420 + 5*k**3 - 2*k**2 - k**2 + 4*k + 2*k**2.\nAnswer: 5*k**3 - k**2 + 4*k - 51420","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -70727, -7 in ascending order.\nAnswer: -70727, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6386968 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 2379?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6811.785 nanometers in meters?\nAnswer: 0.000006811785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5*w + 102. Suppose -6*a + w = 5. Suppose -6*t = -a*t - 76. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -45. Let p = -7 - -14. Let l = p - t. What is the nearest to 0 in l, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -s + 6, -17*s - 8*s - 80 = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -5\/119 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25172256?\nAnswer: 2, 3, 263, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -39*(-4)\/(-24) + (-2)\/(-4). List the prime factors of (-151)\/(2*3\/l).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 401, -4 in decreasing order.\nAnswer: 401, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 340855630 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-1)\/(4 + (-26)\/6)). Solve -6*x - 44 + 8 = t for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*v + 5*l, 5*l = 2*v + 2*l - 8. What is the greatest common factor of v and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z**3 + 7*z**2 - 21*z - 2. Suppose c = 3 + 3. Let q(b) = 7*b**3 + 4*b**2 - 11*b - 1. Let k(s) = c*l(s) - 11*q(s). What is k(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(102)\/sqrt(2))\/(sqrt(75)*1))**2.\nAnswer: 153\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 1. Let m be (-3 + -5 - (-10 + 4))*-2. Suppose 0 = -s + 3*r - 4, 4*r = -s + 9 + 1. Let p(u) = 2 - 3 - 8*u**s + 5. Calculate m*o(x) + p(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-35\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -18512*n**3 + 623*n**2 - 623*n + 623. Let d(g) = -89*g**3 + 3*g**2 - 3*g + 3. Determine 623*d(w) - 3*y(w).\nAnswer: 89*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10*0.07\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**3 + 0*g**3 - 6*g**3 + (-3*g + 3 - 3)*(2*g**2 + 2*g**2 - 3*g**2).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -240, -345, -436, -507, -552, -565, -540?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 243a3e3?\nAnswer: 243a3e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 102950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -933, -1371, -1809?\nAnswer: -2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67087 + -3.1217271.\nAnswer: -67090.1217271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3214.7 minus 4546.93?\nAnswer: -1332.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -532*l + 63847. What is j(120)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10574\/9 - 1179. Calculate the common denominator of 10\/75 + 194\/45 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)*(-232)\/(-29). What is the hundreds digit of ((-19056)\/(-42) - v) + (-4)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+-2171737\nAnswer: -2171736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 18*j + 1. Let l(n) = -3*n**2 + 36*n + 2. Let x = -351 - -356. Calculate x*k(d) - 2*l(d).\nAnswer: d**2 + 18*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.177246 to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(50) - (sqrt(50) + sqrt(50)*2)))\/(sqrt(90)\/(1*sqrt(9))).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5354, -10711, -16068?\nAnswer: -21425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Suppose -28 = -k*f + f. Solve 2*p - 3*d = -p + 18, 5*p = -3*d + f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7206, -7201, -7196, -7191, -7186, -7181?\nAnswer: -7176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -2, -148 in descending order.\nAnswer: 5, -2, -7, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*j**4 - 33 + 10*j**3 - 19*j**4 + 2*j**2 + 36 - 5*j**3 in the form x*j + c*j**2 + u*j**4 + q*j**3 + z and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - 5 - 5)*(-162)\/10. Calculate the greatest common divisor of m and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 11*u**2 - 12*u - 15. Let t be q(-12). Let f(j) = -26*j + 308. Let l be f(19). Let g = t - l. What is the highest common factor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 5*f**2 - 3*f - 3. Suppose 98 = 8*j + 2. What is the smallest common multiple of n(-5) and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 2 - 2 + ((2 - 3 + 2)*(5 - 4 - 2) + 2 + 0 - 5)*(2*t - t - 2*t) - 1 + 1 + t - 13*t - 14*t + 37*t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -33 (b) -0.3 (c) -1 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111112 - -3?\nAnswer: 111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 7*i - 12*i + 4*v = -267, 8*v = -3*i + 26*v + 129 for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-2322)\/72)\/((-3)\/172)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*v**2 - 93\/4*v - 87\/2.\nAnswer: -3*(v + 2)*(v + 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*w + 8, q + 6 = 2*w - 4*w. Suppose 2*k - 15 = 3*m, -4*m = -252*k + 256*k. Sort k, -5, 1, q in descending order.\nAnswer: q, k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v - 2. Let s be j(6). Let k = s - -36. Is k - (-68)\/28 - 92\/(-14) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c**3 + 6*c**3 - 5*c**3)*(-2 - 3 + 1) + 0*c**2 + 0*c**2 - c**3 + c**2.\nAnswer: 27*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by (-5)\/((-60)\/(-6))*-24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/4*3\/(9\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -11*l**3 + 4697*l**2 - 16*l + 6837. Determine p(427).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + c + 9 = 0, 30829 - 30835 = 3*j + c + 3*c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*m**5 + 7134732*m**2 + 300077065*m?\nAnswer: -420*m**3 + 14269464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 0*z**2 - z**2 + (11 + 0 - 3)*(4*z**2 - z**2 + 2*z**2).\nAnswer: 37*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -49. Suppose y = -4*w, 0*m - m = -4*w - 25. Solve -2 + 4 = -d + 3*o, 3*d + m*o = 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2512*a**2 - 6*a - 46699?\nAnswer: -5024*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**5\/60 - 5*y**4\/12 + 109*y**3\/6 - 125*y**2. What is the units digit of g(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -10*n + 32. Determine d(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(4) + sqrt(20)\/sqrt(5)) - sqrt(17))*3 + -2.\nAnswer: -3*sqrt(17)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 2)\/(3\/6). Suppose -3*i = z - 31. Suppose -s + 2*s = i. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*k**3 + 5*k**3 + 24*k**2 - 2*k**3 - 42*k**2 wrt k?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 9.1\nAnswer: 109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 3*f. Let p(j) be the first derivative of j**3\/3 + j**2\/2 - 5. Let c(k) = 5*p(k) - 3*r(k). What is the second derivative of c(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:14 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) + (-6)\/40. Let n = 5 - 4. What is the closest to n in w, -0.4, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*x - 15 - 21 + 12 + 23.\nAnswer: 82*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2691*f**2 - 6*f - 1348*f**2 - 1346*f**2 + 35)*(-4*f - 2*f**2 + 4*f) as h*f**4 + r*f + b*f**2 + g + z*f**3 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 170921503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 299.8 - 301.8. Put -1, z, 2, 15 in ascending order.\nAnswer: z, -1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 687.3 + -687.299976162. Round a to 7 dps.\nAnswer: 0.0000238","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 188, 399, 610, 821, 1032, 1243?\n\"Answer: 211*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16227 is divided by 397?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000076287286 to 6 dps.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from hgkoccscccgcg.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 3*c**5\/100 - 47*c**4\/60 + 29*c**3\/30 + 3*c**2\/2 - 2*c - 55. Factor h(u).\nAnswer: (u - 15)*(u - 1)*(3*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/15 + 21*z**4 + 512*z**3\/3 - 331*z**2 + 2*z. Factor g(r).\nAnswer: -4*(r - 128)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*t**3 - 384089*t + 384089*t - 1470 - 23*t**3 - 914 in the form d*t**2 + l + x*t + i*t**3 and give l.\nAnswer: -2384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 9*l - 12. Let u be i(4). Suppose -2*j = -4*g - u, 3*j + 0*j = -g + 5. Solve -j*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1325, 1339, 1373, 1433, 1525, 1655, 1829, 2053?\n\"Answer: t**3 + 4*t**2 - 5*t + 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-0.4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 775777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -786*(-8 + (-127309)\/(-21)). Let r = q - -16278706. Round r to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = -1642741 - 30857259. Round o to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112322 - -213?\nAnswer: -112103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -14 + 12 + 3 + 0. Let p(q) = -q + 1. Determine b(z) + p(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 268 - 249. Suppose -m*o - 2640 = -27*o. Is o a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 825 = o + 2*o. Find the second derivative of o + 16*q**2 - 275 - 6*q wrt q.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-4 + 8 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from {p: 1, f: 3, q: 1, e: 2, s: 3, j: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 6*x - 9. Calculate m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4489\/3 + -2182. Let p = r - -697. Let b = 51124\/9 - 5687. What is the common denominator of p and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.225739 and -627.\nAnswer: -627.225739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -12*w + 415. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 - 1.6. Let u = -2.5 + 3. What is the nearest to h in u, 0.3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4204, 8373, 12542, 16711, 20880?\nAnswer: 25049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(20)\/(sqrt(4)*-4*1) - ((-3*sqrt(125) + -5)**2 + -5).\nAnswer: -1145 - 149*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/sqrt(10) + sqrt(18))*6 + (sqrt(144)*-1)\/sqrt(8))\/(3*(4*sqrt(144)\/sqrt(8))\/sqrt(2)).\nAnswer: 11*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*l - 80. Let h(t) = 7*t**3 - 13*t**2 - 9*t + 1. Let y(m) = m**3 - m**2 - 1. Let w(a) = h(a) - 6*y(a). Let g be w(l). Is g less than 2\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -17 (c) 0.2 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59716157.\nAnswer: 3671, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/240*(-6)\/(-8))\/((-4)\/(-20))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12 + 17*w**2 - w**3 - 45*w**2 + 9*w**2 - 8*w + 9*w**2. Let g be k(-9). Solve y + 3*q = -7, -g*q = y + y + 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (2 - 11) + 4 + (-1 - 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 + 6 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. Suppose -4*s - 4 + 0 = d, 0 = -b - 5*s + 7. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 205 and 1?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2ca6 - -1a26?\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 12:10 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105365880 and 3512196?\nAnswer: 105365880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82422 and 164844.\nAnswer: 164844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2363256.\nAnswer: 2, 3, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. What is the remainder when 58*1 + s + 3 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2228 divided by -4?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 348351 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1332204 (base 8) to base 16\nAnswer: 5b484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 20) + 46 + (-6 - -14 - 22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 201, -12 in descending order.\nAnswer: 201, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217108.\nAnswer: 2, 54277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.49517 millimeters to micrometers.\nAnswer: 61495.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5) - 3038\/4030\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2862 divided by 572.\nAnswer: 1431\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -1642?\nAnswer: 1642.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13013 and 1439438.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71 and 7?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**7\/105 - 17*l**6\/20 - 9*l**5\/5 + 26*l**4\/3 - 149*l**2. Factor u(s).\nAnswer: 2*s*(s - 52)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128710.134s in days?\nAnswer: 1.489700625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(175\/(-15)))\/((-16)\/(-56))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698639959?\nAnswer: 41, 449, 37951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -23, -0.2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k - 6 = 0. Let f be (-1)\/(k*2\/(-4)). Suppose -4 = -9*x + 7*x. Which is the second biggest value? (a) x (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47258769 and 927?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 7:22 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*v**4 - 72*v - 2 wrt v?\nAnswer: 144*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1447639 is divided by 1447605?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.29 (b) 0.2 (c) -9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 12 + 3*i**4 + 2*i + 0*i**4 - 2130*i**3 + 2128*i**3 to the form m*i**3 + u*i**2 + x + q*i**4 + t*i and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in -1.7, -1\/7, 5\/3, 1\/2, -3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 167*y**3 + 10 - 9 - 179*y**3 + 34*y to d*y**3 + b + g*y**2 + i*y and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f*f**(-10))*f)\/f**25)\/((f\/((f*f**20)\/f))\/f*(f**10\/f)\/f) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/7)\/((-300)\/700))\/(224\/63)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (143\/6 - -2) + -3 and -27\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -4468176?\nAnswer: -5\/4468176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 + 0 = 0. Let n be -6*-2*1\/4. Let q(b) = b**2 - 2*b - 1. Let l be q(n). Which is smaller: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 17. Solve 0*t - f*t = -20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = x - 3, 0*x + 5*i = -4*x - 5. Let g be ((x - 1) + 4)*-4. Let d = g + 51. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*r = -3*r + 5, -5*u - 20 = 2*r. Let i = 11 - 6. What is the smallest value in 2\/9, u, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 586202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*v + 2*v. Let s(p) = p**2 + 11*p + 2. Let c be s(v). Let g = c + -17. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 101, 5, -2636, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.104226 take away -4520?\nAnswer: 4521.104226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103103 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 12 = 14*n. Suppose n*q = 5*q + 20. Suppose -i = 5, 6*m - 5*i - 45 = 4*m. What is the lowest common multiple of q and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 1896*l**2 + 75.\nAnswer: 1896*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -77, -50, 25, 172, 415?\n\"Answer: 4*l**3 - l - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 479081343 + -1733795352902\/3619. Let t = 2\/517 - o. What is the common denominator of t and 49\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v**6*(v**(-3)\/v)\/v**1)**(-2\/55) assuming v is positive.\nAnswer: v**(6\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Collect the terms in -9*d**3 - 2709816 + 5419661 - 2709845.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.06 (c) 4 (d) -2\/5 (e) -3\/5 (f) 0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2494 divide 194619290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4\/3 + 389318*f**3\/3 + 12631357607*f**2 + 378911529860*f\/3 + 947254492900\/3 = 0.\nAnswer: -194654, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 337344358 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(-2*sqrt(10)) + sqrt(10)\/(sqrt(2) - sqrt(96)\/sqrt(3)) + -2)**2*-5.\nAnswer: -3745\/36 - 110*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435*o - 436*o + 1 = 0, -2*b + 54 = -2*o. Let d be b\/(17\/((-136)\/(-240))). Factor d*g - 2\/3*g**2 - 2\/5 + 2\/15*g**3.\nAnswer: 2*(g - 3)*(g - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -38. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219658480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.5, -2\/251, 3\/2, -17?\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1352 + 1355. Let p = -0.14 + 7.14. Which is the third smallest value? (a) p (b) 7\/4 (c) i (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 7:09 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462215 is divided by 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) - 35\/(-15). Find the first derivative of -p*a**2 + 4*a**2 + 0 + 1 wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18711164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 828 - -535. Let k = 1434.3 - c. What is k rounded to zero decimal places?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) 0.15 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12095 = 5*h + 5*m, -4*h - 6473 = 5*m + 3200. What is the units digit of h\/(-11) + (-24)\/132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + r - 2*r)*(0 + 3 - 1)*(3 - 4 + 2)*(-8*r - 2*r + 4*r).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 6 = 3*p, 0 = 11*k + 9 - 42 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-10))\/((-9)\/90). Let z(y) = 19 - 11*y + y**3 - 7 + 0*y**3 - 3*y**2. Calculate the remainder when 25 is divided by z(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/4 + (-379185)\/6. Round i to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.94088ml to litres.\nAnswer: 0.02494088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4654.92314 - -4655. Let k = h + 6.99714. Let a = 0.174 - k. Round a to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 28 = -5*o. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 938353737 to the nearest integer?\nAnswer: 30633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 16*t**2 + t - 12. Let g be d(16). Let y = 43.49 - 42.39. Sort g, 0, y.\nAnswer: 0, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 91\/(-105) + (-5)\/(-50)*2. Sort -4, 0.3, 3\/5, h.\nAnswer: -4, h, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007578763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 + -96. Solve 2 = -k*z + 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 11. Let i be (-9)\/(-15) + g*(-51)\/45. Solve -i*s = -10 + 26 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -5\/237 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and ((-2)\/(-4)*-2)\/(153787\/11832 + -13)?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-120))\/(3\/(-54)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345958891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3470 - 319. Let z = 5510 + c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 48*n + 6 + 40 + 6 + 53*n as g*n + y and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31029.\nAnswer: 3, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5525251 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbjjbbjbbb. What is prob of picking 2 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15237?\nAnswer: 3, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -100123323?\nAnswer: 100123330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 18*a + a**2 + 13*a - 26*a - 7. Let i(t) = -t**2 + 4*t + 6. Let f be i(6). Let u be v(f). Which is smaller: u or -3\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -69642*c**3 + c**2 + 3*c - 2. Let o be q(3). Let x(t) = -3*t**2 + 7419682. Let m be x(0). Let s = o - m. What is s rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-22)\/363*2)\/((-2)\/(-3)))\/(-2)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18224 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5))**(-1\/29)\/(t*t**(2\/13)*t\/(t**0\/t*t)*t)*t**(4\/7)\/t**0*((t\/(t\/t**6))\/t)\/t**(-3) assuming t is positive.\nAnswer: t**(71303\/13195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73738714 + -0.188.\nAnswer: 73738713.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-1*2)\/2. Let k(h) = -h**2 - 17*h - 35. Let r be k(-14). Suppose r*p - 90 = s*p. What is the highest common factor of p and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 243 = -33. Let n(f) = f**3 - 6*f**2 + f - 3. Let j be n(6). Suppose 4*v - 4*o = y, -o = -j*v + 96 - 17. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(28) + (sqrt(224) + -4*sqrt(224))\/sqrt(8)))\/(sqrt(196)*5*1).\nAnswer: 8*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**2\/2 - 3*q - 2. Suppose 4*a + 3*o + 10 = 0, -a + 4*o - 24 = 3*a. Let f(x) = x + 1. Let c be f(a). Give n(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464806029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-6)*(-1)\/10. Suppose -5*i + 24 = -0*x + 3*x, -12 = -x - 3*i. Sort x, 5, f.\nAnswer: f, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a + 1. What is the units digit of q(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -16. Let j(n) = n**3 - 7*n**2 - n + 9. Let w be j(h). Suppose 3*c - 9 = 0, -c - 9 = -2*d - w*c. Solve 0*y - d*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**8\/13440 - 19*b**7\/1680 - 361*b**6\/480 + 13*b**5\/15 + 9*b**2 - b. Let p(j) be the third derivative of y(j). Factor p(o).\nAnswer: -3*(o + 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 339138 and 700?\nAnswer: 118698300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7\/882*7*(-4)\/1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 3322430014?\nAnswer: 3322430024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 9*a + 4. Let y be q(-13). Suppose b = 6*b - 3*d + y, -60 = 5*b - 5*d. Let f = b + 13. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (8 + (18 - 21) - -26).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 equal to -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47388868 and 5176?\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/12*(180\/99)\/(-5)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*r + 24 + 117*r**3 - 115*r**3 + r**2 + 329*r - 32 to s*r**3 + z*r**2 + b*r + v and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 42849 (base 12) to base 16\nAnswer: 15639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.2, 3, 0.1, 38\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 - 3*r - 1. Let h(n) = n**2 - n. Let f(w) = -12*h(w) + 4*l(w). Does 3 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/7 - ((-3)\/(-1) + -11 + 8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*y**4 + 3*y**3 + 7398*y**2?\nAnswer: 120*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(425) - 2*sqrt(425)*-1) + sqrt(425))*4 + 5.\nAnswer: -400*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 323*d + 14. Let u(h) = -108*h - 5. Let k(j) = -7*u(j) - 2*x(j). Let m be k(6). Suppose 279 - m = -4*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 185.95?\nAnswer: -187.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 - 12*k + 8. Let z(a) = -3*a**2 + 8*a - 5. Give -5*q(f) - 8*z(f).\nAnswer: -f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 1, h: 1, o: 5, g: 1}. Give prob of picking 1 g and 1 n.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-15160)\/11 - (-26)\/(-143). Let i = g - 315. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3919923205 to the power of 1\/5, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3))**16*n**(3\/7)*n*n*n*n**(-13)\/n assuming n is positive.\nAnswer: n**(374\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*k - 150*k**2 + 610*k**2 + 803*k**2 + 13*k + 217*k**2 as o*k + f*k**2 + w and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 1:57 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -11*k**3 + 8*k**2 - 5*k + 5. Let q(a) = a**3 - 11*a - 9. Let c(w) = -10*w**3 + 7*w**2 - 15*w - 5. Let u(s) = -c(s) + q(s). What is 4*l(b) + 5*u(b)?\nAnswer: 11*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(513) - (sqrt(456)*3 - sqrt(456))\/sqrt(8))\/(sqrt(30)\/sqrt(360) + sqrt(9)\/(sqrt(6)\/sqrt(2))) + -4.\nAnswer: -4 + 24*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*f + 192*f - 8 + 7 - 183*f.\nAnswer: 307*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 16. Suppose 5*b = -5*o + 520, 2*o = -0*b - n*b + 218. Suppose -41 = -5*y + o. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:53 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 164 + -162. Solve -l*v + g = 6*g + 1, g + 3 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -139335 - 284?\nAnswer: -1395b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/13 + 10*z**4\/13 - 6*z**3\/13 - 18*z**2\/13 = 0. What is z?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*p**2 - p + 0*p + 22*p**2 to k*p + x + i*p**2 and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 11*c - 9. Let z(y) = 5*y - 4. Let w(r) = -4*j(r) + 9*z(r). Let m(i) = -3*i. Determine w(m(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 59 - 569*c - 383*c)*(-3 + 3 + 1).\nAnswer: -952*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + d. Let m(n) be the second derivative of -n**4\/4 + n**3\/6 + 419*n**2\/2 - 5*n. Let f(a) = m(a) - 2*s(a). Is f(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84456281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-14) - 5 - (-46)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*i - 32*i + 2696. List the prime factors of i.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21494, -21675, -21970, -22373, -22878?\nAnswer: -23479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from mbblrrbbl?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415389 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 40 + 11 + 7. Determine b(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245716503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, q: 2, y: 2, t: 3, d: 5, m: 6}. Give prob of sequence mqy.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*i - 34, m - 23 = 3*i - 2. What is the least common multiple of m and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 1175, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 2 = 34*i. Calculate the highest common factor of 10 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -128, -184, -260, -362, -496, -668, -884?\nAnswer: -1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -343127 - 0?\nAnswer: -343127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14.9 and 1175508.\nAnswer: 1175493.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*b = -6, -392*c + 390*c + 3*b + 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 2. Let r = 0 + -26. Let t be 6\/15 - r\/10. Let c be ((-4)\/2)\/(t\/6). Determine f(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 5 + -75 - (7 + (-3 - 3))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*l - 8 = 0, 4*b - 2*b + 3*l = 8. Let q be -2*((-6)\/(-3))\/(-1). Find the second derivative of 3*o + 0*o - o**5 - 2*o**q + 2*o**b wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 273 and 7?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 303.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 34383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15242802\/13 or -1172524?\nAnswer: -15242802\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*4)\/((-8)\/(12\/(-3))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*o - 285*m**2 + 40*m*o + 3 wrt o.\nAnswer: 2*m**2 + 40*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**3 - 6*w**3 - 19*w**3 + 4*w**3 - 3*w**3 - 2*w**3 + (0*w**2 + w**2 - 3*w**2)*(-4*w + w + w) + 2*w**3 + 0*w**2 + 0*w**2.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2 + (1 + sqrt(1573) + -1 + sqrt(1573) - sqrt(1573)))**2 + 5 + (sqrt(1573) - -5*(sqrt(1573) + -1))).\nAnswer: -6308 - 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(56) - sqrt(126)*2)*-3)\/(5*-4*sqrt(450))*-3.\nAnswer: 27*sqrt(7)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69915*u**3 - 11*u - 69909*u**3 + 11*u.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4\/3 (b) 63 (c) 6191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2304)\/(-720))\/((-16)\/(-30))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3167*c + 5818*c + 1116*c - 606547 = -81295 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*t**4 - 4*t**2 + 3081793*t + 275528666.\nAnswer: -44*t**3 - 8*t + 3081793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6420*b**3*v**2 - 2*b**3*v + 912*b**2*v + 84*b*v - 254*v**3 wrt v?\nAnswer: 12840*b**3 - 1524*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4171599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 639479 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1221*h + 10*h**2 + 1221*h + 2*h**2. Let g(m) be the first derivative of -4*m**2 + 404. What is y(g(k))?\nAnswer: 768*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2813 and 6499?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from sssssssssshsshssss?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2599784 - 441.\nAnswer: -438.7400216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 12:03 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -9*d + 13*d. Suppose -7 = d*a - 6*a. Suppose -420 = -a*p + 56. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18785 + 18789. Solve -3*x + 4*w = 8, 66*w + s = x + 68*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 804 and 1212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -628 - -959. Suppose 4*x + i = 5*v, -x + 3*v - 50 - 24 = 0. Is -88 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 5, -2, 119, 4.\nAnswer: -2, -2\/9, 4, 5, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 10:48 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45979 divided by -45979?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -2 - (14 + (5 - 6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303971 is divided by 333.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5\/5 + 12*p**4\/5 + 68*p**3\/5 - 156*p**2\/5 + 16*p = 0. Calculate p.\nAnswer: -4, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15700 divided by 7850.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9584, -9609, -9644, -9683, -9720, -9749?\nAnswer: -9764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vamhvhhchhcvbhv. Give prob of picking 2 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207*d**5 + 446*d?\nAnswer: 4140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 8*c**2 + 30*c. Does 13 divide d(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, z: 1, k: 1, t: 3, g: 4}. What is prob of picking 1 k, 1 w, and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 w, and 1 y when three letters picked without replacement from {u: 2, y: 11, w: 6}.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 7:02 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4795801096.\nAnswer: 2, 19, 197, 160159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 598421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 1877 (c) -6\/5 (d) 0.14 (e) 4\/3 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 66. Let s(w) = -33*w - 180. Let h be s(m). Let y(j) = -5*j + 17. Let n(l) = l - 4. What is h*n(c) + 4*y(c)?\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -5\/3, -2\/9, -20\/11?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-12))\/(68\/51). Let t(u) = -4*u**2 - 3*u - 1. Let f(n) = -n**2 - n. Let k(i) = -5*f(i) + t(i). Give k(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4805 + 4675 = 26*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -0 - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 70)*(-4*f + 2*f + 3*f).\nAnswer: 61*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 2. Let m be g(-6). Suppose -m*s = -s - 267. Suppose -2*b + 0*b + s = -5*i, 5*i + 200 = 5*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 32 = 0. What is the greatest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 17 + 25. Solve 4*x = -l + a, 6*l - 3 = x + 3*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*x + 7. Suppose -2*a + 5*a = -5*o + 6, -4*o - x*a + 3 = 0. Suppose 3*l - 8 = 2*k, -2*l - 3 + 5 = 2*k. Solve 21 = o*u + 3*f, l = -f + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a7 (base 11) to base 14.\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6144 is divided by 1427.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - -6*(sqrt(170) + -1*sqrt(170)) - sqrt(170))\/(sqrt(250)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2 + 4)*(0 - 1 + 0) + 5 - 4 - 4)*(4*q**3 - 4*q**3 - q**4).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m - 14*m - 3*m + m to y + t*m and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a + 24473 = 24221 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84488, -84489, -84490, -84491, -84492, -84493?\nAnswer: -84494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -249*d + 234*d. What is the nearest to -1 in 2, d, -1\/6, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64144146?\nAnswer: 2, 3, 11, 31, 107, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/77 + 4\/11. Which is the closest to n? (a) -5 (b) 4 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + 2 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125601410?\nAnswer: 2, 3, 5, 59, 229, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/56808 and -89\/3837696.\nAnswer: 34539264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (34\/(-85))\/(2\/50). Let w = 14 + p. Let r be (w + -3)*-5 - 38. Does -41 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 m, and 1 h when three letters picked without replacement from {x: 1, m: 3, j: 3, h: 1, f: 5}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 307585 divided by -1277?\nAnswer: -307585\/1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 799*z - 2 + 3 + 1811*z.\nAnswer: 2610*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -177, -2\/3, 0.5, -0.2, 9614?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*m + 7*m = 0, -4*a + 2*m = 24. Let z(x) = -2*x - 8. Let c be z(a). Let t(r) = -13 - 45*r + 2*r**c + 44*r - 3*r**2. Give t(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1)\/(-25*52\/48750*-15)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 4*x**3\/21 + 32*x**2\/7 + 256*x\/7 + 20. Factor k(d).\nAnswer: 4*(d + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*p + 54, 3*d - 31*p + 65 = -30*p. Is -306\/13 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*l + 17. Let j be 315\/l*(-14)\/(-21). Let d = 31 - j. Let c(y) = -y**3 - 4*y**2 + 4*y - 4. Calculate c(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -213*i + 7013. Give o(33).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - f = 0, -9*f = 5*r - 11*f. Sort r, 17, 8, 1, 2 in descending order.\nAnswer: 17, 8, 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16750523 or 16750525?\nAnswer: 16750525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - -10. Suppose -a + 4 = -4*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (0 - -1)) + (-399 - -388).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2051?\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 5*q**2 - 3*q - 4. Let v(m) be the second derivative of -m**5\/20 - m**4\/12 + m**3\/6 + m**2\/2 - 23*m. Let z(l) = -s(l) - 5*v(l). What is z(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 3*x + 3. Let s be m(3). Factor -4*z**2 - 6*z**3 + 2*z**2 + 2*z**3 - 2*z**s.\nAnswer: -2*z**2*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4437518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3 = -5*r, 57*r = 52*r + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5879402)\/(-1336))\/(10\/8 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 6*q + 5. Determine a(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 9) in base 11?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/247 - -489\/1235. Let n(v) = v + 12. Let y be n(-5). Let m be -7 + y - 1\/3. Which is the closest to 1? (a) m (b) -2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d + 22. Let q(l) = -4*l + 9. Let k(j) = -12*q(j) + 5*t(j). Let w be k(-5). What is the greatest common factor of w and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(243)*3 + sqrt(243) + -5 + ((0 + sqrt(300))*-2)**2*5.\nAnswer: 36*sqrt(3) + 5997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 18 = -5*z + 21, 2*z - 12 = -4*f. Calculate the common denominator of (10\/(-4))\/(z*-1) and 517\/(-30) - (-4)\/10.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110347047 to the nearest integer?\nAnswer: 10505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 65 + -2373?\nAnswer: -2308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 7890*h**3 - 4 - 4*h - 2*h.\nAnswer: -7890*h**3 - 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/9)\/(3*16\/(-36)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/15*-10*(-2)\/(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -8*x**4 - 132*x**3 - 648*x**2 - 1012*x - 360 = 0?\nAnswer: -9, -5, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16843048 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3878, -8244, -12644, -17078?\n\"Answer: -17*x**2 - 4315*x + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -137356.4 to the nearest 100.\nAnswer: -137400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*z - 23, 3 = n - 2*z + 8. Suppose -i = -5*v + 6, 5*v + n*i + 2 = 4*v. Solve -2*m - 7 = v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21834 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.9 + 1.3. Let m = -1.6 - z. Which is the second smallest value? (a) 5 (b) m (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**6\/270 + u**5\/360 + 2*u**3\/3 + 1. Let w(z) be the third derivative of k(z). Factor w(r).\nAnswer: r*(4*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i. Let p(t) = -585*t. Give n(p(c)).\nAnswer: 585*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -210 - -189.2. Let m = k - -35.1. Let t = m + -13.51. Round t to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 = 5*d + 4*f, 2*f = 3*d - 3*f - 232. Let r = -28 + d. Suppose r = 2*h - 8. Calculate the remainder when h is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + -448. Let d = w - -486.87. What is d rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173934039?\nAnswer: 37, 31727947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.705 - 35.7. Let w = 1.335 + -1.3. Let u = w + i. Round u to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 229*a**2 - 435*a**2 + 204*a**2 - 3 - 3*a**3 + 4*a as p*a + c + x*a**3 + v*a**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 + 0*p**2 + 2*p**2 + (5*p + 50*p**2 + 3*p**2 - 90*p**2)*(-1 + 1 - 3).\nAnswer: 109*p**2 - 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*k + 13973169 = 38772816. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684734721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 465 - -267. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28564 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p**2 - 3*p**2 - 4*p**2. Let q(u) = 2*u**2 + 8*u. Let b(m) = m**2 + 5*m. Let f = -17 + 9. Let k(x) = f*b(x) + 5*q(x). What is k(z(t))?\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -89166079 and -5.\nAnswer: 445830395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1738 and 136320662?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(171) - (-4*(sqrt(304))**2 - sqrt(95)\/(-1*sqrt(5))).\nAnswer: 2*sqrt(19) + 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10209.787647669 + 0.2?\nAnswer: 10209.987647669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/21)\/q**(1\/4)*(q\/(q\/(q\/(q\/q**(-1))*q)))**(8\/11))\/((q**(-1))**(-3\/4))**(-37) assuming q is positive.\nAnswer: q**(1151\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22184777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*a - 4 = -5, -3*a - 6 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12cc41 (base 15) to base 6.\nAnswer: -31212354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**8*a**(-22))\/((a\/a**(1\/17)*a)\/a*a\/a**(-4\/5)))**(-43) assuming a is positive.\nAnswer: a**(61189\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -216110229 divided by -3\nAnswer: 72036743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*z - 266 = 106 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -10.2. Let m = -9.6 - g. Suppose 4*l - 7*l = -15. What is the closest to m in 4, l, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43.2 - 40.03. Let w = -3.497 + a. Round w to two dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-34)\/(-8) + 35\/(-140).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-29)\/2842*(-1 + (-224)\/6) and -27\/10?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12) - sqrt(3))**2 + sqrt(12)\/sqrt(4)*-1.\nAnswer: -sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -283 + 161. Let c = m + 124. Solve 5 - 40 = 5*h + 2*g, -4*g = -c*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3398b + 5?\nAnswer: -33986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 404 (b) -1\/228 (c) 0.3 (d) -2\/7 (e) 1\/7 (f) -5 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*j + 29*j**2 - 32*j**2 + 15*j + 23*j + 70*j as p*j**2 + z*j + v and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*q**2 + 36 + 44 - 87 + 24*q**2.\nAnswer: -26*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 0.0513 (c) -4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-180)\/(-16) + 1\/(-4) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 49. Let p be 1*3176*n\/12. Is (p\/(-10))\/((-2)\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-6) + (-66)\/15)\/(207\/(-805))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -198, -219, -258, -321, -414, -543, -714?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**7\/210 + c**6\/24 + c**5\/60 - 17*c**4\/24 - 2*c**3 + 14*c**2 + 29. Determine g, given that o(g) = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -183.\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -20*i**2. Let y(h) = 6*h**2 + 187*h - 115. Give y(c(x)).\nAnswer: 2400*x**4 - 3740*x**2 - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -623963?\nAnswer: -623965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = y - 164, c = -y + 185 - 17. What are the prime factors of y?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 53*b + 829. Calculate n(4).\nAnswer: 1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + 1.91. Let w = 5 - 1. Suppose q + 4*q - 10 = -5*m, -12 = -w*m. Which is the third biggest value? (a) q (b) 0.14 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2372, -4840, -7404, -10064, -12820, -15672, -18620?\n\"Answer: -48*i**2 - 2324*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -865.389 and -952.\nAnswer: 823850.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 4:44 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76023983 by 1.\nAnswer: -76023983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/335 in -2, 0, 0.5, 1, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 1, l: 12, g: 5}. What is prob of picking 1 r and 1 l?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**2 + 6*q + 1. Let v be o(5). Suppose -2*g + 53 + 233 = 0. Let u = g + v. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 2*z**2 + 189*z + 688. Calculate d(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 - 5*g - 1. Let b be (-20)\/(-40)*(-4)\/1. Let z be 0 - b - (18 - 8). Let l be u(z). What is l rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10720639 to the nearest integer?\nAnswer: 3274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 3, -268\/5, 0.018, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 93*y + 90*y + 651 = 0, 5*y = -t + 197. What is the remainder when 736 is divided by t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -50116c?\nAnswer: 501167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/51, 0.4, -5, 0.48 in descending order.\nAnswer: 0.48, 0.4, -2\/51, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (21 - -1) + -167 + 155 + (27 - 1)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15.5594 millilitres?\nAnswer: 0.0155594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.29 + 2.1. Let s = i + -0.21. Which is the biggest value? (a) 2 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((32\/80)\/((-8)\/10))\/(1\/52)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 32861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.5869746 milligrams?\nAnswer: 586.9746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -668 divided by -13?\nAnswer: 668\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02297599565 rounded to six decimal places?\nAnswer: -0.022976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2084982 - 2085547 = 5*v, -2*v - 225 = t for v.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -8 + 3. Let j = -55 - -59. Put 3, -1, k, j in ascending order.\nAnswer: k, -1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-150) - 122\/240. Let g = 40.4 - 40. What is the closest to 1 in g, -2\/7, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*j + 4 + 40, -74 = -3*n - 2*j. Suppose -v = 3*t - 13 - n, 2*t = -2*v + 74. What is the remainder when 1\/(144\/(-145) + 1) is divided by v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3146378 and 3146378 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 505158.3m?\nAnswer: 505158300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*0.065442.\nAnswer: 2.225028","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 100 + 100 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*y + 6. Let g(d) = -d**2 - 6*d + 17. Let v be g(-8). Let n = 250 - 251. Sort 0, v, n, y in increasing order.\nAnswer: y, n, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 + 8*u**2 + 10*u + 4 = 0. What is u?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11.7 in -5\/2, 9, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6550*x**3 + 626281*x + 6552*x**3 - 626281*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 + -1.98. Let z = 0.3 + 0.2. Let i = 0.04 - 0.34. Put i, v, z in increasing order.\nAnswer: v, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 78 + -7?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120493477?\nAnswer: 13, 47, 197207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 30. Let p be 17\/68 + o\/16*6. Is (0 + p)\/(-2 + 2516\/1259) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9 + 14 - 7)*(j + j - j)*(0 - 2 + 16) - 4*j + 0*j - 3*j)*(0 - 3 - 1).\nAnswer: -868*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 579 + -578.3. What is the smallest value in -0.3, 0.2, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34153010 (base 7) to base 11\nAnswer: -174a236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 632 - 661. Let r(i) = -i - 4. Let v be r(x). Solve 0 = v*l - 17*l + 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 804.276 - -8.6.\nAnswer: 812.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/60 and -103\/42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.09 (b) 0.4 (c) 38 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.448818 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 283629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 193*s + 6020. Give r(153).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, p: 1}. Give prob of picking 3 i and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 82 = z + 4*p, -79 = z + 4*p. Which is smaller: z or -66?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -837 (b) -0.4 (c) -0.1 (d) 0.3 (e) -2\/19 (f) 1\/2 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/2*(3 + -1). Suppose -5*y + p = -77. What is the smallest common multiple of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*b = -53*b - 60 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 285604\/(-20)) + (-1)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111 (base 3) to base 4.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 12\/10451 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5934 is divided by 334.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 12 = 18*s. Let l be 3\/3 + (4 - (s + -3)). Solve 0*u - 2*u = -l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 13 - 14. Sort 0, j, -5 in ascending order.\nAnswer: -5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-4))**(-9)\/(t**4)**30)**(-11\/6) assuming t is positive.\nAnswer: t**319","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 12. Let y(m) = -8*m**3 + m**2 + m. Let h(j) = -j**2 + 5*j - 5. Let n be h(4). Calculate the remainder when y(n) is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/350 + -2\/25. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-5) - (1 + 18). Let v = n + 71. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 7*j - 12. Suppose j*d + 21 = 5*d. Let c = d - -25. Sort -16, -5, c in descending order.\nAnswer: c, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*58\/(-609)*11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -95620.87999992 take away -0.1?\nAnswer: -95620.77999992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5603 - 5603. Solve 65*n - 73*n = b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.9 + -25. Let g = -10.1 - k. Let y = g + 11.971. Round y to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 divided by -45?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 17 + 1 = 0. Let i(w) = -30*w + 9. Let u(x) = 83*x - 28. Let g(o) = 11*i(o) + 4*u(o). Give g(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/2*-2*(-3006 - -3009).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 169\/(-26)*2\/1. Let g = -12 - d. Calculate the least common multiple of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12926800 and 73100.\nAnswer: 555852400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 times 5070?\nAnswer: -1515930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -99.34881862\nAnswer: 99.14881862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 1. Let a(i) = -5*i + 2. Let q(m) = -a(m) - p(m). Let t(s) = -s**2 + 7*s - 1. What is 5*q(f) - 3*t(f)?\nAnswer: 3*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from foikoewi. What is prob of sequence fk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.16044, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 58*o + 150 = 0. Suppose 7 = -4*z - 29. Let c be ((-12)\/(-81))\/(o\/z). Sort 1, c, 1\/3, 2.\nAnswer: c, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*w - 51*w + 20 = 0. Let i(c) = c**3 + 10*c**2 - 5*c + 2. What is the units digit of i(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 1\/3*r**3 + 26*r - 229 + 15\/2*r**2. Determine u, given that i(u) = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -14, 24 in ascending order.\nAnswer: -72, -14, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(80) + sqrt(5) + sqrt(5)) - sqrt(5)) + (sqrt(720) - (0 + sqrt(720))) + sqrt(720))**2.\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k + 8 = 0. Suppose 2*j = -2*j - k*s - 4, 13 = 5*j - s. Let l be 16\/30*(-405)\/(-540) - 13\/(-5). Solve j*n + l*n - 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 11*a - 215. What is c(23)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 589952\nAnswer: 9\/589952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 21*b - 9. Let t be q(-22). Suppose -t*o + o + 720 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:38 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oopo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 181 (b) -5 (c) -0.42 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17538 - -17581.542. What is o rounded to one decimal place?\nAnswer: 43.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)*g**(-4)*g*g**(-2\/25)*g*g\/(g**(-1\/12)*g) assuming g is positive.\nAnswer: g**(-749\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**5\/20 + 7*b**4\/12 + 9*b**2\/2 + b. What is the remainder when 25 is divided by q(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 511 and 11501.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c = 44. Suppose a = -g, g + 19 = 5*a + 7. Let w be ((-3)\/6)\/((-1)\/8). Solve -3*s = -i, i + c = w*i + a*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.43 - 2.03. Let d = x + 1.8. Which is the nearest to 2? (a) 2 (b) -3\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ded4 (base 15) to base 6.\nAnswer: 5204044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*b + 175 = -101*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54638720 and 295.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.001 + 18. What is y rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 35*t. Let w(g) = 2*g - 1. Let r(u) = -2*u**2 - 10*u + 5. Let k(s) = -r(s) - 5*w(s). Give k(n(o)).\nAnswer: 2450*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6581547056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*f - 6, -5*f + y + 17 = -y. Let m(h) = -h**2 - 3*h + 24. Let n be m(-7). Put n, 0, f in decreasing order.\nAnswer: f, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/(-3 - -5). Let f = -37 - -28. Let j = f + 7. What is the third biggest value in w, -0.2, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 - -0.11. Which is smaller: k or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 18. Let x be t(-8). Let u = -0.12008 + -0.27992. Which is the biggest value? (a) x (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*(-28)\/21?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5540*m**2 + 1168939*m + 175. Calculate h(211).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0318945ml?\nAnswer: 0.0000318945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/((-3)\/(-403)). Let i = m - -67. Let x be 10\/15 - 2\/3. Which is bigger: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 68*k**2 - 8*k + 8. Let p(h) = -46*h**2 + 5*h - 5. Let v(d) = -8*p(d) - 5*s(d). Let b(n) = 4 + n**2 - 5 + 1. What is b(v(i))?\nAnswer: 784*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {t: 3, b: 6, y: 1, h: 4, v: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-6103)\/(-5) + 10\/((-50)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**50*u\/(u\/u**18)*(u**40*u)\/u**36 assuming u is positive.\nAnswer: u**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 3. Let z(w) = 0*w + 8*w + 7 + 11 + 8. Let b be z(-5). Let s = 17 + b. Calculate a(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + 3.04. Which is the smallest value? (a) 1\/7 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*x - 640 = -515*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*r - 164 = -0*r, -p + 36 = 2*r. What is the greatest common divisor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25566.\nAnswer: 2, 3, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 12. Let v(n) = n + 4. Let c(o) = -2*f(o) - 7*v(o). Let s be c(4). Let j = 14 - s. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = -5*d + 6, -3*d + 3*r = 0. Let h be 155999\/(-4) + d\/(-4). What is h rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 142, 560, 1256, 2230, 3482, 5012, 6820?\n\"Answer: 139*h**2 + h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3*(-1 + (-3 + 2*sqrt(1088) - sqrt(1088))))**2 + 6*(-5*-1*sqrt(1088))**2 + -2) + 5.\nAnswer: -1728*sqrt(17) + 519407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 87 (b) 0.5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 17. Let q be h(-5). Let o(y) be the first derivative of -1 - y**2 + 0*y**q - 1\/2*y**4 + 0*y. What is the second derivative of o(r) wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or -2\/3043?\nAnswer: -2\/3043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 + 7*q**2 - 3*q**2. Let i(r) be the third derivative of 0*r**3 + 1\/12*r**4 + 15*r**2 + 0*r + 0. Determine i(w(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1354159264?\nAnswer: 2, 1319, 32083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131403742 is divided by 18771963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5775 = 14*y + y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*q - 2470 = -222*q + 270*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - -3.9. Let i = -15.43 - -12. Let f = i + t. What is f rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*c - 4344985, 139 - 133 = 2*c. What is q rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five eighths of a kilogram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2482778723365?\nAnswer: 2482778723363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 56*u - 51*u = 625, 5*k + u = 605. Calculate the lowest common multiple of k and 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3159\/4150?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0 + -5 - -6) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 450 + -450. Let j(w) be the third derivative of 0*w - 2*w**2 - 1\/24*w**4 + 1\/6*w**3 + q. Let k(v) = -2*v**2 + 2*v - 2. Calculate -2*j(u) - k(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1601\/3 - 534. Which is the second biggest value? (a) 0.3 (b) v (c) 5\/3 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5166738?\nAnswer: 2, 3, 41, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -347028 by 4.\nAnswer: -86757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - 57. Let d = p + -11. Let v(k) = 4*k**2 + 2*k - 2. Let t be v(3). Calculate the greatest common factor of t and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 729 + -32807\/45. Suppose 18 = 10*h + 48. Which is the closest to 0.2? (a) h (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1 + sqrt(17))*3*-4)**2.\nAnswer: -288*sqrt(17) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, 0.017, -0.1, 0.3, -1 in ascending order.\nAnswer: -3, -1, -0.1, 0.017, 0.3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 565827707 - 0.9402.\nAnswer: 565827706.0598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1069 + 1071. What is the closest to -4 in b, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2 - 8*x = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from fkkk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.060616 rounded to 3 dps?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 = -12. Suppose 2*v = l + 3. Solve -5*k = -3*y, -4*y + 10 = v*k + 39 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 49. Let n(m) be the second derivative of 0*m**2 + 0*m**3 - 19*m - 2 + 1\/12*m**4. What is n(r(t))?\nAnswer: 4*t**2 + 196*t + 2401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2. Let s(z) = -7*z**3 + 5*z - 7. Let v = -76 + 71. Let l(f) = -3*f**3 + 2*f - 3. What is n*s(d) + v*l(d)?\nAnswer: d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - y + 3*y + (-3 + 2 + 3)*(1 - y - 1) - 6*y + 3*y + 7*y + 39*y - 100*y - 87*y.\nAnswer: -145*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h - 47. Give c(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*l = -0*p + 128, 4*l = 3*p - 404. Let m be -71 - (-2 - (-2 + 0)). Let s = p - m. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -2\/9, 4\/3.\nAnswer: -2, -2\/9, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1935 and -0.9?\nAnswer: 1935.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36779*a**3*d*k - 261*a**2 - a*d*k - 10*d wrt a?\nAnswer: 220674*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 6*j**2 - j - 6. Let f be b(-5). Let l = 54 + f. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, -4, 1, 1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boo when three letters picked without replacement from {b: 2, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.1, -5, 10.7?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 108*q**2 + 87*q - 630.\nAnswer: 3*(q - 2)*(q + 3)*(q + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -91*d**2 - 21*d - 33. Let y(v) = -18*v**2 - 4*v - 6. Let n(r) = 11*y(r) - 2*z(r). Let w(f) = 2*f**2. What is n(w(o))?\nAnswer: -64*o**4 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2227*i**3 + 2227*i**3 - 127*i**4 + (-3*i**4 + 0*i**4 + i**4)*(-10 + 19 + 7 + (2 + 1 - 2)*(5 - 1 - 3)).\nAnswer: -161*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16776443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 296, 1 in descending order.\nAnswer: 296, 17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*r + 3*l - 8, -2*r = l - 8. Does 16 divide 142\/9 - r\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**6\/120 - 19*w**5\/30 - 13*w**4\/8 - 2*w**3\/3 + 38*w**2 - w - 3. Give z(39).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1934 is divided by 937.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:20 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 544 = 2*c, 2*s = c - 57 + 325. What is the remainder when s is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 3, -5*d - 3529 + 3541 = -3*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -211.\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/53)\/i*i)**(4\/13)*i*i**(-4\/3)*i*i**(3\/2)*i assuming i is positive.\nAnswer: i**(13139\/4134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -134381 * -57\nAnswer: 7659717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 11349 + 745 = 0. List the prime factors of j\/(-3) - ((-14)\/(-6) - 2).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -97*1 + -4 + (-7 - -10). Let u = o - -98. Solve j + 2 - 3 = u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 597, 711, 10, -1 in decreasing order.\nAnswer: 711, 597, 10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) -1\/14 (c) -524 (d) -1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/20)\/(17\/(-2856)*-21).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -133?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 35 + -2 - 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -582*o**2. Let n(u) = -u**2. Determine n(z(g)).\nAnswer: -338724*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 371440811 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2, -3*j + n = 4 + 1. Let z(k) = k**2 + k + 1. Let p be z(j). Let b be p - 1 - (9 - 9). Is b at most as big as -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*s = 74*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000098255265 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1644150 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42061 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -485 or 6201?\nAnswer: 6201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-44)\/(-30))\/(12\/(-18740)). Let q be ((-55044)\/(-8))\/3 - -2. Let h = q + v. What is the common denominator of h and -87\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -344*l**2 - 1 + 7*l + 346*l**2 - 2*l**3 + 0*l - 4*l**4 to o*l**2 + f + z*l**4 + u*l + b*l**3 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 10 = -4*o, 3*s - 77118*o - 12 = -77121*o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o**3 - 3*o**2 + 10*o - 36. Let c be p(4). What is the hundreds digit of ((-22)\/4 + 4)*c\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrruuurruu. Give prob of picking 1 r and 3 u.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 1 + 0\/3. Suppose -5*d = 3*o + 5, 6*d - 2*d + 4 = n*o. Suppose o = 4*u - 2*u - 12. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368636 is divided by 15907.\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 48, 216, 556, 1128, 1992?\nAnswer: 3208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/5 - 42*o**2\/5 - 18*o - 46\/5.\nAnswer: 2*(o - 23)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 2*u + 2. Let y be g(-2). Suppose -5*f + 19 = -2*s, -2*f + s = 3*s - y. What is the smallest common multiple of f and 170\/43 - 142\/(-3053)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/7, -1\/96, -3, -1.61, 3.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vssxxssm. Give prob of sequence vs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -17*p - 31. Let a be w(-3). Suppose 3*s + 2*x + a = 142, -3*s + 134 = -4*x. Suppose -q = -0*t + 2*t - 39, t = 4*q + s. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*x - 2*f - 8 = 514*x - 255*x - 0, 0 = 2*x - 5*f + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209*f**4 - 78*f**4 - f**3 - 34*f**4 + 7 - 8*f - 62*f**4 + 0 to q*f + b*f**2 + t*f**3 + p*f**4 + v and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 173*n**2. Let f(j) be the first derivative of -1\/3*j**3 + 41 + 0*j**2 + 0*j. Give f(p(w)).\nAnswer: -29929*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4116176 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 6 in decreasing order.\nAnswer: 6, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7031 = -13*i - 791. Calculate the common denominator of 53\/48 and (2310\/i)\/(-2*1) - 0.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -q - 20, -3*q + 5*p = 4 + 54. Let r(o) = 2*o**3 + 32*o**2 - 4. Determine r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 5*a + 3. Let d be r(-5). Suppose -3*k = 5*u - 8, d*k = 7*u - 3*u - 28. Solve -4*y + u*v - 3*v + 2 = 0, y = 5*v + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssnnnshnsh. Give prob of picking 3 s.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*t - 25, -56*t + 55*t + 4*z + 20 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -8 (c) -3\/53 (d) 494\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*v + 20*v**2 + 22*v**2 - 67*v**2 + 24*v**2.\nAnswer: -v**2 - 111*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z + 20. Let p(t) = -2*t**2 - 4 + t**2 + 10*t - 1. Let m be p(z). Calculate the greatest common factor of m and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 14*s + 24*s - 11 - 8*s to the form b*s + m and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a)**(9\/4))**(-16)*(a\/a**(3\/4)*a*a**(-3\/2))**(15\/8) assuming a is positive.\nAnswer: a**(1137\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 21*z**3 + z**2 - 2*z. What are the prime factors of y(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/39 + (13 - -2)\/(78\/(-136))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**4\/12 - i**3\/3 - i - 3. Let f(q) be the first derivative of a(q). Give f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 3*n + 2. Let r(w) = -4133*w**3 - 42*w**2 + 6*w - 33. Let q(j) = -2*b(j) - r(j). Find the third derivative of q(a) wrt a.\nAnswer: 24798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50503.42 rounded to the nearest ten?\nAnswer: 50500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 93 = 25. Suppose 0 = -2*s + 41 + 93. Calculate the remainder when s is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 25. Let m = -1.95 - 0.05. Let j = p + m. Is 0.2 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 4*v + 7. Let d be z(-5). Let c(n) = 7*n - 3. Let f be c(1). Let i(o) = 2*o - 3. Let x be i(3). Solve -3*p + x = -0*p, -2*y + d*p = f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = 5*x. Solve 2*j + 8 = -x*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10430873 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lglssllggglcs. Give prob of picking 1 c and 2 l.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.02 - -0.02. Let i = -2.3 - p. What is the biggest value in -0.5, 1\/3, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 - (-30 + 37 + (-1 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -169209 < -169262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.519 + 4.5. Let t = -26.981 + p. Let k = t - -26.865. Round k to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1417 - -4181\/3. Calculate the common denominator of -83\/74 and d.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-one halves of a gram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-15.7\nAnswer: 7.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from xxxpxxxpxxxxpxxl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06758 rounded to four dps?\nAnswer: 0.0676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40\/57 + -2\/57. Let r = 23.61 - 28.5. Let x = r + -0.11. Which is the nearest to i? (a) x (b) 0 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*d, 0 = t + 2*d - 3*d - 1. Let k = t - -14. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 114 = 5*f. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) -2\/3 (c) 0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 80 (b) 1\/4 (c) -0.4 (d) 2\/11 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -284492 + 134512. Round i to the nearest one thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 19*o**2 + 6. Let t(v) = -37*v**2 - 15. Calculate 7*b(g) + 3*t(g).\nAnswer: 22*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**5 - 4*g**4 - g**3 + 0*g**4 + 4*g**2 - 3*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 0*x**4 + 9 + x**5 + 1\/2*x**2 - 51*x + 0*x**3. Find the first derivative of h(r) wrt r.\nAnswer: 20*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 110 = 34. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 11*b**2. Let i(k) = 5*k + 4. Let m(a) = 11*a + 10. Let y(x) = 5*i(x) - 2*m(x). Give y(z(r)).\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 2*v**2 + 1. Let s(f) = -3*f**2. Determine s(d(l)).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -26 + (-80)\/(-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 2)*(6 + 15). Suppose 226 = -z*n + 5476. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15744 and 369?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/21)\/((-2)\/6). Suppose 0 = v + z - 4. Suppose -24 + v = -3*p. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/1568832 and -83\/4314288?\nAnswer: 17257152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 19, b: 1}. Give prob of sequence btbt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.31 and -622059.\nAnswer: 192838.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.31 less than -50.108?\nAnswer: -62.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 613, 1281, 1949, 2617, 3285?\n\"Answer: 668*u - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/63 and -46\/105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5193 is divided by 1672.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u = 17*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*p = -2*b - 11, -4*b = -5*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4 + 0 - 1 - 11*l. Let v(s) = 7*s + 3. Give -5*k(x) - 8*v(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(1210)*-1))**2 - sqrt(12)\/(sqrt(726) + (sqrt(726) - -4*sqrt(726)))) + -5.\nAnswer: -603\/121 - sqrt(2)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*z + 3568 = 0, -6*p - 3559 = -8*p - 7*z. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -601, -1330, -2099, -2902, -3733, -4586, -5455, -6334?\nAnswer: -7217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68)*1 - sqrt(68))*-1 + (-5*(-2*sqrt(68) + sqrt(68)) - sqrt(68) - sqrt(68)))\/(sqrt(36)\/(sqrt(729)*-2)).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 416204 (base 7) to base 4.\nAnswer: 101201231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27025089 and 1092.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/3315472 and 43\/4880?\nAnswer: 16577360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-11) - (-80)\/44. Let q(g) = -2*g**2 + 3*g. Let s be q(f). Let b = s + 3. Sort b, -5, 4.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 223 = -785. Calculate the smallest common multiple of 20 and f.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34196122.\nAnswer: 2, 2797, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 77.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714132?\nAnswer: 2, 3, 83, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*v**3 - 14*c*v**2 + 2*c - 1917*v**3 + 6 wrt v.\nAnswer: -12*c - 11502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-5) - 5\/25. Calculate the remainder when (2 - k)*(-138)\/(-18) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 101 = -j, n - 6*j - 101 = -3*j. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6273 or 6271?\nAnswer: 6273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + -106.57. Let z = 0.03 - q. Let o = z + -0.3. Which is the nearest to -1? (a) o (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169974725 to the nearest integer?\nAnswer: 13037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103321300113 + 1112?\nAnswer: -103321233001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 7*b**6\/120 + 7*b**4\/24 - 7*b**3\/6 + 3*b**2. Let z(n) = -2*n + 3*n - 9*n + 9*n + 1 - 2*n. Calculate -p(f) - 7*z(f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a + 36. Suppose -2*z + a = -3*n, n - 3 = 4*z + 1. Let m be (16\/30)\/(n\/20). Is -2 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 29. Suppose -13 = -5*x + 2*u, 0*x - 3*x + 5*u + 4 = y. Let 2\/5*o**x - 2\/15 - 2\/5*o + 4\/15*o**4 - 2\/15*o**2 = 0. What is o?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 898*a**2 + 16*a*y**2 - 90864*y**2 wrt a?\nAnswer: 1796*a + 16*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*h + 22, -4*h = q - 2*h - 7. Suppose q*o - 72 = -o. Suppose -7 = 2*x - 27. What is the smallest common multiple of o and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = 14. Let i = h - -4. Calculate the greatest common factor of 88 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240806 a multiple of 819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**4 - 3*k + 14*k + k**2 + 29*k**3 - 43*k**3 - 12*k - 10 to p + o*k**4 + z*k + v*k**2 + q*k**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 49.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1966.7026 - -0.0974. What is o rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**3 - 27*u**2 + 13*u + 48. Give t(-6).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/10 + 553*c**2\/10 + 14789*c\/2 + 71155\/2 = 0.\nAnswer: -107, -5, 665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, a: 3}. Give prob of sequence ca.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**5\/80 - b**3\/24 + 2*b. Factor c(f).\nAnswer: f*(f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -37. Let a = s + 28. Is 321 - (-2 + 0\/a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Suppose -n*z + 12 = z. Suppose -z*r + 4 = -26. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -717, -2880, -6485, -11532?\nAnswer: -18021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -11, 54, 147, 274, 441, 654, 919?\nAnswer: 1242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - l - l + (2 - 2 - 2*l)*(0 - 1 + 2) + (0 - 1 + 2)*(1 - 1 - l) + 3*l + 0*l - l + 5 - 5 + 6*l - 2.\nAnswer: 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 + f - f)*(4*f - 4*f - 7*f)*(-2 + 5 - 2) as g*f**2 + n*f**3 + w*f + c and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 56 * -3\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12244, 24521, 36798, 49075, 61352?\nAnswer: 73629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(170)\/(sqrt(10) - -6*(sqrt(10) - sqrt(160))) - (2 + sqrt(272) + (0 + (sqrt(34)\/sqrt(2) - sqrt(17)))**2)).\nAnswer: -345*sqrt(17)\/17 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 4. Let j be x - (-1 + (-24)\/14). Which is the closest to 2? (a) 1 (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, 257, 127?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7450 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(66))\/sqrt(6) + (sqrt(11) + 1)**2*-1) + ((sqrt(220)\/(sqrt(40)\/sqrt(4)) - sqrt(22)) + sqrt(22))\/(sqrt(200)\/sqrt(4)) + 0.\nAnswer: sqrt(11)\/5 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*((i*i**(-7)\/i)\/i*i)\/i)*i*i\/((i**(-4\/5)*i)\/i))**10 assuming i is positive.\nAnswer: i**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqqsqqasq. Give prob of picking 1 q and 1 a.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 945 and 76373766.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*u = -12, 2*u = -5*s + 64 - 46. Suppose -5*w + 12 = -13. Suppose 3*h + 3*q = 22 + w, 3*q - 15 = 0. Solve 0 = s*k - h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64.89459 - -0.10541. Which is bigger: r or 18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3 - p + 0 + 2*p**2 + 1. Let u(v) = -2*v**2 + 2*v - 5. Let r(w) = w**2 - 24*w + 126. Let o be r(8). What is o*u(h) - 3*f(h)?\nAnswer: -2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -106?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017139 to the power of 1\/2, to the nearest integer?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(33)*2)\/(-3*sqrt(3)*-4).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 12. Suppose c*u = 3*v - u + 3, -u + 21 = 4*v. What is the remainder when v is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -348, 3, -3 in decreasing order.\nAnswer: 3, 0, -3, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10717 + 8459 = 24*a. Does 73 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + v = -2, -4*w + 5*v + 330 = 329 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1394 - -1393.08. Let r = -0.76 - -0.24. Let w = r - k. Put -1, w, 1\/2, 5 in ascending order.\nAnswer: -1, w, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8323, -16534, -24745, -32956, -41167?\nAnswer: -49378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 - 5)*(-3281 + 3281 - 82*r) in the form v + m*r and give m.\nAnswer: 902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*n**2*r**2 - 72790*h*n - 4*h*r**2 + 108*n**2*r**2 + 56*n**2*r - n*r**2 wrt n?\nAnswer: 2*h*r**2 + 216*r**2 + 112*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 80689380.\nAnswer: 403446900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -439, -188\/3, 3 in descending order.\nAnswer: 3, -188\/3, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:36 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178414 + 1650452.084.\nAnswer: 1472038.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -q - 4*r + 5, 0 = q - 2*r + 2. Suppose q*z + 4 = z. Solve -z*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 4*p - 12, 4*p = -0*s + s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -521 or -1241?\nAnswer: -1241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.074 + 2.926. Which is the closest to q? (a) -1\/7 (b) 4 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 9 + a - 4*a + 4*a - 2*a + (1 + 0 + 0)*(0*a + 2*a - 4*a) + 196365 - 196365 + 4387*a to k + g*a and give g.\nAnswer: 4384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(3 - (-3 - 5)\/(-4)). Solve d = n - 3*i - 8, 3*i - 4*i = 5*n - 24 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75 in 0, 6, 2, -2\/15, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s**2 - s)*((-4 + 2 + 1)*(2*s - s - 2*s) + 0 - 4*s + 0 + s + 2*s + s + (-4*s + 5*s - 4*s)*(-11 + 16 - 21) - 3*s + 5*s - 4*s + 2*s + 2*s - 5*s).\nAnswer: -46*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v - 80. Let x = 848 - 838. Let k be g(x). Solve k = -w - 0 - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 - 119 - (-13 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 17 = l. Are 11 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 t, and 1 x when three letters picked without replacement from {u: 1, s: 1, x: 1, e: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b = -32*b + 508. Let x = -82 - b. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12634.74 months in decades?\nAnswer: 105.2895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:38 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1. Let z(r) = 143*r + 3. Calculate 3*i(l) + z(l).\nAnswer: 143*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 10*y**5 + 101*y**5 - 168*y**5 + 122*y**5 + (-3 - 1 + 2)*(2*y**5 + 2*y - 2*y).\nAnswer: 61*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165606 is divided by 1502.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p - 39. Give m(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 69 + 16 = 0. Suppose -3*j = 4*o - 537, -j = -3*o - 126 - y. Is 34 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*b = -16, 0 = 5*b - 13 - 2. Let z = 13 + f. Calculate the greatest common divisor of z and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -187, -257, -203, -25, 277, 703, 1253?\n\"Answer: 62*k**2 - 256*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 149756 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 214841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h - 30. Suppose 5*v + 0*o - 5*o = -60, -v = -3*o + 18. What is the units digit of g(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/13*5\/25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-5\/4)\/q)**(-7\/4))**(-10) assuming q is positive.\nAnswer: q**(-175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 4. Let b(t) = -3*t**2 - 8*t - 3. Let m(v) = -v**2 - v. Let u(f) = b(f) - 4*m(f). Let n be u(h). Put n, -5, 1 in descending order.\nAnswer: n, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let w = 1.1 + i. Suppose 2*o - o - 1 = 0. Which is the closest to o? (a) 1 (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 147?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1194*m = 4*u - 1196*m - 24, 38*u - 228 = -m for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9*y**2 + 572*y - 3805. Calculate p(56).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + -41 + -39 + -60.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6712.3*127\nAnswer: -852462.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3768729.20439626 - -939.20445626. Let j = -3767823 - n. Let i = j - -33. What is i rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(20) + (sqrt(240)*-1)\/sqrt(12)))\/(-3*sqrt(250) + sqrt(110)\/(sqrt(11)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*w - 1, 3 + 24 = 5*l - w. Solve -12 - l*u**2 - 24*u - 2*u**2 - 2*u**2 = 0 for u.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69034 or 69008?\nAnswer: 69034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {e: 6, a: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 5*s - 15, 0 = 2*c - 3*c - 5*s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-6))\/(9\/(-4239)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 3539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 + 322*s + 445. Let j be q(-63). Let z(y) = y**2 - 6*y + 2. Let p be z(6). Solve 13 = -5*m + p*r - r, -5*m - j = 2*r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 + 71.8. Let v = 9 - 3. Let s = v - a. What is the third biggest value in -0.3, 2\/11, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 505109760 by 63680.\nAnswer: 7932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*n - 11, 0 = 3*s + 2*n - 0*n + 1. Let p be -8*1\/(-12)*5*s. Let w be (6 + p)\/((-4)\/3). Solve -u + 6 = -w*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 109521592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = z + 5*h, -129*z = -131*z - 2*h + 2. Let y(f) = 12*f + 50. Give y(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*y**2 + 14*y**2 + 2*y - 19*y**2 + 22*y**2 - 85*y**2 - 90*y**2.\nAnswer: -189*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 1918.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39, 5\/4, -3\/8, 0.2, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -1 + -6 + 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 121416*y + 1228487088.\nAnswer: 3*(y - 20236)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:32 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 4*f**2 + 4*f + 3. Let h be m(-2). Suppose 0 = h*r - 6*r + 3. Is 4 a factor of 7 - r - (0 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 - 3*z + 2*z**3 - 16 + 5*z + 17 in the form j*z**3 + u*z**2 + h*z + l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66502 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**2\/4 + 8*z + 33\/4 = 0?\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16454*d + 32966*d - 30*d**2 - 16466*d - 5*d**2.\nAnswer: -35*d**2 + 46*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 13. Suppose j = -5*o + 31. Suppose -i + o = -2*i + 5*p, -4*p = 4*i - 28. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -4\/7, 3\/13, 3\/5, 1410.\nAnswer: -4\/7, -1\/2, 3\/13, 3\/5, 1410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d579b7 (base 14) to base 8.\nAnswer: -33370075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8100 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 411174 a multiple of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*h + 29578 + 17975 = 0. What is the greatest common factor of h and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161138 + -1566100224\/9719. Is -1 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 + 1)*2210\/21. Let x = l + -949. Calculate the common denominator of (-4)\/(-12) + (-74)\/15 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*g + 1398 - 1398)*(-4*g + 4*g - 2*g).\nAnswer: -128*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**6\/360 - x**5\/20 + x**4\/3 + x**3\/3 - 2. Let g(i) be the third derivative of h(i). Does 15 divide g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -206 >= -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*x**5 - 7*x**2 - 8*x**6 + 5*x**2 + 60 - 19*x**6 + x**5 wrt x.\nAnswer: -3240*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = 3*k, 5*n - 6*k = -2*k + 18. Suppose -4*a - r = -1207, a = -n*r - 38 + 338. What are the prime factors of a?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 1. Calculate m(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 44*t**2 - 10*t + 252. List the prime factors of p(12).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + 26. Let a = 2654 + -2524. What is the greatest common factor of a and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5 + 68755*x**4 - 68760*x**3.\nAnswer: 5*x**3*(x - 1)*(x + 13752)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14*s**2 - s - 1. Let g be q(-1). Let n(i) = -8*i - 44. Let b be n(-6). Suppose b*m = g + 90. Calculate the remainder when 101 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 h, and 1 i when three letters picked without replacement from {r: 4, h: 5, b: 3, i: 6, s: 1, n: 1}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o = 51*o + 45. Let j(r) = -9*r**3 - 10*r - 31. Let s be j(o). What is the highest common divisor of s and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 944816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or 1275?\nAnswer: 1275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21302 - -21972. Solve -w = -4*v - 130*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -41. Let g be 5 - (-2 + (-2)\/j). Suppose -33 = -8*u - g. Solve -12 = -u*t - t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(153)*1)\/sqrt(9) + 2)**2 - (sqrt(612)*-6 - 4*(sqrt(17) + (sqrt(51)\/sqrt(3))**2)).\nAnswer: 89 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -70604441.3 rounded to the nearest 10000?\nAnswer: -70600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from tgtgg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/23 and -35\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4827d7 + -95?\nAnswer: 482742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11737806, 11737788, 11737770?\n\"Answer: -18*z + 11737824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2 + 68*z + 390 = 0. Calculate z.\nAnswer: -5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 4. Suppose 4*k = -k + x. Solve 0 = 5*u - k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-90))\/(((-51)\/34)\/(2\/(-4)))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, 2\/5, -2, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 0, -0.3, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000101 + -111000101?\nAnswer: -10110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugyupfyfpfhff. What is prob of sequence hygu?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18029 + -52805285?\nAnswer: -52787256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = -2*a, -4*i - 4*a + 16 = -2*a. Suppose -6 = -i*l + p, 0 = l - p - 5 + 1. Solve 2*h = t + 7, 5*t = -2*h + l - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66239702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 92?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448893*l + 43470 = -448263*l for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 676*d**3 + d**2 + d - 1. Is w(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -22*h + 103. Let i be d(9). Let t(o) = o**2 - 6*o + 3. Let r be t(8). Let p = r - i. List the prime factors of p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 7:38 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 5*z**2 + 3*z - 2. Determine s(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-13) + (954\/117 - 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.3, -3\/7, -11, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 13*m - 28. Let j be r(14). Let a = -19 - j. What is the remainder when 252 is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l. Let d(m) be the third derivative of m**5\/20 - m**2. Calculate d(t(v)).\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 382062275 a multiple of 549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8421 divided by -2807.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrs when three letters picked without replacement from rsywryrrr?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j + 44. Let k be x(-7). Solve f + k*f + 3*v + 15 = 0, -3*f - 15 = -5*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 28 = 11*n, a - 12*n = -7*n + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 4\/15*v**6 + 1\/3*v**3 + 3\/5*v**5 + 6*v + 2\/3*v**4 + 0 + 1\/21*v**7 + 0*v**2. Factor h(m).\nAnswer: 2*m*(m + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31251889.\nAnswer: 223, 140143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 87 - 125 - 83 - 53*l.\nAnswer: -53*l - 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 26*m + 7. Let a be 648\/56 + 4\/(-7). Let n(f) = -52*f - 13. What is a*r(g) + 6*n(g)?\nAnswer: -26*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.78631942 rounded to 1 dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41480 = -4*k - 4*u, -27*k = -28*k - 5*u + 10382. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4350 and 0.\nAnswer: -4350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 22724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in 1, 74413, 0, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3624, 7194, 10760, 14322?\n\"Answer: -2*y**2 + 3576*y + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3442937, -3442959, -3442981?\nAnswer: -3443003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 22753 (b) -1\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 + k**2 + 19. Let d(w) = -15*w**3 - 6*w**2 - 94. Let m(h) = -2*d(h) - 11*z(h). Find the first derivative of m(q) wrt q.\nAnswer: -9*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1, 8, 7340.\nAnswer: 1, 2, 3, 8, 7340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 9 = 2*l - 4, 3*l = -4*m - 13. Let b(z) = 3*z + 19. Let s be b(-8). Put m, 2, s in decreasing order.\nAnswer: 2, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22296 and 146928.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 4. Let t be (-10)\/y*48\/(-15). Suppose -3*m + t*m = 10. Solve m*k + 0*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 929, -2, -11, 21, 1 in decreasing order.\nAnswer: 929, 21, 1, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -1978?\nAnswer: -31648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 48 = -6*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37883?\nAnswer: 43, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 741942 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 3 (b) -3\/17 (c) 1\/7 (d) -7477\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((30\/9)\/5). Let f(c) = 2*c**2 + 2*c + 2. Let j(k) = -3*k**2 - 2*k - 3. Let o(m) = -4*f(m) - 3*j(m). Determine o(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7269 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93088087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from cnntbbbccqctbnctbc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 20*q + 51. Let n be x(-22). Let g be -10*((-1)\/n)\/((-20)\/(-70)). Suppose -g*m + 371 = -179. What are the prime factors of m?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -76 + 76 + 10*n. Let c(a) = 2*a. Give q(c(z)).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**6)\/(x\/x**(-6)*x)*(x**(-1))**(-45) assuming x is positive.\nAnswer: x**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(-l + 0*l + 2*l) - 2*l + 2*l - 4 + l)*(1089 - 401 + 198).\nAnswer: 1772*l - 3544","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 3:09 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -23*d - 13. Let q be (-192)\/28 - -3 - (-4)\/(-28). Let k(m) = 22*m + 13. Let y(l) = q*k(l) - 5*s(l). What is the derivative of y(n) wrt n?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.55486ng to grams.\nAnswer: 0.00000000255486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -20*y. Let n(l) = l**2 - 26*l - 78. Let u(d) = -2*d**2 + d - 13. Let i(x) = -n(x) + 6*u(x). Give i(v(h)).\nAnswer: -5200*h**2 - 640*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5238\/13? (a) -0.5 (b) -0.3 (c) 1\/4 (d) 2\/11 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuwvg. Give prob of picking 1 g and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 116 = -5*o, -5*f - 98 = 30306*o - 30302*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 - 393*t**2 + 77*t**2 - 190*t**2.\nAnswer: -512*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638*h**3 + 0*h - 646*h**3 + 0*h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Let c(l) = 433*l**2. Give c(o(g)).\nAnswer: 433*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*x + 1290, -25*o = -27*o + x + 529. List the prime factors of o.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/5 + 1091106\/180. Let g = -6070 + w. Calculate the common denominator of -99\/4 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152)\/(sqrt(48)\/(2*sqrt(6))) - (1*sqrt(76)\/sqrt(4) + 1)) + -1)*3 + 2)**2 + -4.\nAnswer: -24*sqrt(19) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -1396157485\nAnswer: 1396157485.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 3. Suppose 20 = -5*k - 3*b, -11*b + 6*b = 0. Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1237?\nAnswer: -2\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -332, -665, -1000, -1337, -1676, -2017, -2360?\n\"Answer: -v**2 - 330*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i - 2*i - 3*i + (1 - 4 + 1)*(8 - 2*i - 2 - 5).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 3*w**2 + 6*w**2 - 17*w - 78 + 36.\nAnswer: -(w + 3)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -857\/1448 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003432 to 5 dps.\nAnswer: -0.00343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*5\/((-10)\/(-1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1, -3, 4, -1043, -4 in descending order.\nAnswer: 4, 3, 0, -1, -3, -4, -1043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7761778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y - 14*y - 249*y**2 + 42*y.\nAnswer: -249*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58 - -58) + -13 + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12286 - 58526 = -3*r, 5*r = -c + 23600. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12318133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/j**(3\/7))*j**(-4\/9)*(j*j\/(j\/j**13)*j)\/(j\/(j**10*j)) assuming j is positive.\nAnswer: j**(1637\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(5\/(-11)) - 11. Solve 3*y + 6 + 0 = z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*o - 10, 11*o - 1845 = -4*l - 1883 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*m + 7. Suppose m*w - 213 = z, 5*z + 129 = 5*w - 3*w. Does 34 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -0.049, -5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 6 - 16 = 5*l, -9*c + l + 36 - 48 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864586 is divided by 12530?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*s = -802, -2*t - 3*t = -2*s - 2040. Let x(i) = i - 4. Let z be x(6). Suppose -n = -z*m + t, -8 + 0 = -2*n. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 6) in base 14?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3. Suppose v*y - 2*y = -164. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -15*i**3 - 2*i - 1. Let g be t(-1). Suppose -3*d = -2*d + z - 125, 5*z + 15 = 0. What is the highest common divisor of d and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21730 to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*v + 42. What are the prime factors of (-545)\/v + 7\/(-28)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + n + 2*n**2)*(0 + 0 - 2) - 10*n**2 + 10*n**2 - 2*n**2)*(1 + 1 + 0)*(150*n - 142*n + 186*n).\nAnswer: -2328*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 - -107. Suppose 4*s - l = -1. Solve s*z = 4*i - 18, -21 = 4*z - 0*i - 3*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/14))**48\/(f**(-2\/17))**13 assuming f is positive.\nAnswer: f**(6302\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197660017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*r + 11. What is the highest common factor of r and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203501 + 521\nAnswer: -202980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*-2 + 5 + sqrt(76)\/sqrt(4).\nAnswer: -19*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 25 = 4*m - 47, -5 = -5*y - 5*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*r**3 - 490603772*r**2 - 276023010350296*r - 5064642226576 = 0. Calculate r.\nAnswer: -1125238, -2\/109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 699199\/3276 + -1494\/7. What is the common denominator of b and 29\/12?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 68*p - 72.\nAnswer: 4*(p - 1)*(p + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -7.91. Let n = -0.199 - -0.109. Let y = n - m. Which is the biggest value? (a) -2\/9 (b) y (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 10. Suppose -y*p = r + 9 - 2, -4*r + 5*p + 37 = 0. Solve r*w - 6 = -0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 306 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883316383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 27 - 19 - 7*w - 8.\nAnswer: -7*w - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900 a factor of 865675403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -4. Let i(p) be the second derivative of p**6\/720 - p**5\/120 + p**4\/12 + 5*p. Let n(k) be the third derivative of i(k). What is n(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50453873*q**4 + 63982512*q?\nAnswer: 605446476*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 15 = -4*m. Let b be (1 + 2 - 1) + m. Solve -5 = 3*w - b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byytztyrfyyybrbryb. What is prob of sequence yyrb?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -39.87*-0.4\nAnswer: 15.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -2, 292 in decreasing order.\nAnswer: 292, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5772 + 5768)*2\/924\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 3, -6, 390 in decreasing order.\nAnswer: 390, 4, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 2. Let n be j(-7). Suppose -3*l + n = -10. Let g(t) be the first derivative of -t**3\/3 + 5*t**2\/2 + 3*t - 1226. Calculate g(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 466557.545 to the nearest one thousand.\nAnswer: 467000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1053\/(-39)*1\/(12\/4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 m when four letters picked without replacement from {m: 2, e: 1, b: 1, o: 3, k: 1, u: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -309*g + 308*g + 30. Let l = -894 + 1284. Calculate the highest common divisor of l and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 12) to base 5\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 852 and 780.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 648 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 386361*h**2*p*r - 2*h**2*r - 6*h**2 - 794*h + 2*p*r + r - 1 wrt p.\nAnswer: 386361*h**2*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -8. Let f(i) = 8*i**2 + 9*i - 9. Let w be f(1). Put w, d, 0 in decreasing order.\nAnswer: w, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 819132213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 5, 3096, 2, -2 in decreasing order.\nAnswer: 3096, 6, 5, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 2*b**3 - 11406*b**2 + 11417*b**2 - 20 + 3*b**3.\nAnswer: b**3 + 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*v**2 - 25*v**2 - 1277*v**2 - 62*v**2.\nAnswer: -1561*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**9\/g**(3\/5) assuming g is positive.\nAnswer: g**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98158 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/144 and -32\/135.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 303 - 293. Calculate the remainder when 67 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = -15. Let n be ((-12)\/l)\/(-4)*-1. Are 1 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 5:40 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {c: 2, x: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2 - 0.8. Let g = 7 + s. Let v = 4.00000084 - g. What is v rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -143, -140, -137?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, 2\/13, -2\/5, -15\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7317654901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2, 0.2, 4\/3, -145.6 in descending order.\nAnswer: 2, 4\/3, 0.2, -12, -145.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -991 and -580 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 11*v**2 + 24*v + 6. Let f be (-225)\/30 + 3\/(-6). Let m be n(f). Solve -m*j = -3*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m - 2. Let d(c) = 2*c**2 - 50*c - 4. Let y be d(25). Let t(l) = l + 1. What is y*t(q) - 2*f(q)?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2 + 687822*w - 61200316 = 0.\nAnswer: 89, 343822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 308783 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(6\/7)*c**(-10)*((c**(-1\/5)\/c)\/c)**(-17) assuming c is positive.\nAnswer: c**(989\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 1002021?\nAnswer: 1002031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -10. Let q(s) = 37*s - 21. Let b(t) = 12*t - 7. Let m(z) = -8*b(z) + 3*q(z). Is m(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(84) - sqrt(84)*3)\/sqrt(12) + 2.\nAnswer: -12*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 3) + (7 - 4) - (0 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1250579 is divided by 206.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271411?\nAnswer: 7, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*m - 3298, -34*s + 30*s = m - 2618. Calculate the least common multiple of s and 10.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + (36 - 24)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*c - 0*c - 36, c = 2*n + 14. Suppose -7*v = -c*v. Let a be 6\/2 - -9*(-16)\/24. Sort v, 7, -4, a.\nAnswer: -4, a, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**6\/50 + 9*j**5\/50 + 9*j**4\/20 + 14*j + 1. Factor i(z).\nAnswer: 3*z**2*(z + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r - 1. Let p(m) = 10160*m - 1397. Give 2*p(s) - 2794*q(s).\nAnswer: 762*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k - 7. Let h(d) = 4*d - 6. Let w(i) = -5*f(i) + 4*h(i). Let z be w(-6). Solve 2*q**5 - 6*q**z + 4*q + 20*q**3 - 20*q = 0 for q.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -747 + 12?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*b**3 - 63*b - 2920 wrt b.\nAnswer: -45*b**2 - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81263 (base 10) to base 9.\nAnswer: 133422","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -6. Suppose -z*q + 0*q = -3*a + 86, 54 = 2*a - 4*q. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 37*y + 339. Determine u(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14\/153 + -118\/1683. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*a - 20 = -97*a. Solve 5 = a*f - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/304307?\nAnswer: -3\/304307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11960.2 + -11960. What is the second biggest value in 1\/2, 3, 5, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**4\/12 + 14669*f. Let r(w) = 3 - 80*w**2 - 3. Give r(h(n)).\nAnswer: -80*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 2*s**2 + s + 0*s - s. Let o be q(1). Put 1, o, -2 in decreasing order.\nAnswer: 1, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 49*h**2 + 5151*h + 5174. Calculate i(-1).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 50 and -233443.402481.\nAnswer: -233393.402481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z**2 + z - z**2 - z**2. Let s be (-63)\/28 + 2\/8. Is b(s) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 18*n**2 + 14*n + 8. Let w be x(18). Let d be 1*4*(-5)\/w. Which is the biggest value? (a) -3 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5295 - 5292. Calculate the greatest common factor of b and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1330\/20*(60\/(-35))\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011001000111001000000 (base 2) to base 10.\nAnswer: -7114304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1319058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*t + 2*g, -t = 4*g - 2*g - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5\/2 + 9*f**4\/2 + 30*f**3 - 96*f - 72 = 0. Calculate f.\nAnswer: -2, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/(-2 - (-40)\/18). Let k(w) be the first derivative of -9\/2*w**2 - 2*w**v - 9 + 5*w + 1\/4*w**4. What is k(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from {k: 3, e: 3, c: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqtmtjjtqjjotjjjmo. What is prob of sequence mj?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53470227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347 + 10 = 110*y - 523 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 13*q = 3*o - 11461, -2*o = q - 7645. List the prime factors of o.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -366 + 564. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67 and 4087.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(2\/8). Suppose -16*d = 61 - 205. What is the remainder when 6\/(-4)*(j + -14) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*d + 90, 2*z = 3*d + 2*d + 65. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + a = -1428, 0 = -0*a - a. Suppose o - 2229 = -5*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34 and 41\/161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 5*r**4\/4 - r**3\/3 - 2*r**2 - 1. Let l(h) = -h**3 + h + 1. Let s(w) = d(w) + 4*l(w). Let i be s(0). Solve i*z - 3 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6 - 4\/12. Suppose 0 = -3*s - w + 22, -5*s + 50 = -d*s - w. Calculate the greatest common divisor of 6 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guggslgz. Give prob of sequence zl.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/120 + f**5\/20 + f**3\/2 - 264*f**2. What is w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 4. Let g be j(-2). Solve 4*o + 4*m = 24, -12 = -g*o - 3*m + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**5\/60 + a**4\/8 - a**3\/3 - 2*a**2 + 4*a. Let w(r) be the first derivative of v(r). Factor w(j).\nAnswer: -(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*d**3 - 50*d**3 - 2*d**3)*(5 - 4 - 2) to k + m*d**3 + f*d + h*d**2 and give m.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 554 and 1.8?\nAnswer: 997.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (34 + -44 - (1 + -7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**5\/9 + 7256*a**4\/9 - 214076*a**3\/9 - 7256*a**2\/9 + 71360*a\/3 = 0.\nAnswer: -1, 0, 1, 30, 1784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 148. Let k = n - 1319\/12. Calculate the common denominator of 77\/16 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/48750 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 36 = -4*r, 4*n + 18 = 2. Let t(u) = -u. Let w be t(7). What is the closest to -2 in -1, w, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138823 - 56074. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-5))\/(76\/14630*-35).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104264 and 8.\nAnswer: 104264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/459925 and 167\/551910.\nAnswer: 2759550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24031 (base 5) to base 8\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 93 + 95 = 4*f, f + j = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*l - 45 - 35*l + 43)*(0 - 1 + 0).\nAnswer: 64*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*o + 9 + 2, -t = 3*o - 5. Suppose -3*b = o*b. Solve 3*a + k + 13 = -b*a, -5*a = k + 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**2 + 10841730*w = 0. What is w?\nAnswer: 0, 2168346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/468 and -25\/117.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -38. Suppose -2*p - 15 = p, -v = -d*p - 14. Does 15 divide (v\/(-9))\/(4\/606)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z + 2038 + 2008 - 4005 + z**2 as w + m*z + p*z**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46434\/269 or 172?\nAnswer: 46434\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaddaaaadddd. What is prob of sequence aa?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-3)*(-10)\/325. Suppose k + 111 = -2*k. Let n = k + 186\/5. What is the smallest value in n, v, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1228 and 27.\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (136\/16 - ((-99)\/18 + 4)) + -6. Solve -6\/13*s**f + 8\/13*s**2 - 32\/13*s + 16\/13*s**3 + 0 = 0.\nAnswer: -4\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*z - 106*z - 92*z + 22*z as r + u*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*u - 233*o = 207*u + 481, 2*o - 5 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -1 (c) -5 (d) -1\/98 (e) 0.0103 (f) -1.82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38249963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 10*m + 16. Let q(c) = 2*c**2 - 8*c + 4. Let s be q(4). Let x = 42 - -10. What is the least common multiple of x and b(s)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 4*a - 28, 2*a + 2*k - 22 = -2*k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 4*f - 598. Round f to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -18*j - 30 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**0)**(1\/39))**1)**(20\/7) assuming j is positive.\nAnswer: j**(20\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7658 + 4778. Does 233 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 14*r + 180 = 0, -331*a + 169*a - r = -159*a + 116 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.0199135 to two decimal places.\nAnswer: 60.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k - 11. Let t(u) = -6*u + 5. Determine 4*f(y) + 9*t(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4\/2 - 15*a**3\/2 + 63*a**2\/2 - 81*a\/2 = 0?\nAnswer: 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -t + 5*i, 118*t - 5*i = 121*t - 271. Let o be -5 + 4 + -1*1. Let u(z) = -10*z - 1. Calculate the remainder when t is divided by u(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 23.71761ns?\nAnswer: 0.000000000000274509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.027 + 7.227. Let l = n - 10.2. Let d = 2 + -2. Which is the closest to d? (a) l (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 13*t**2 + 15*t - 19. Let p be u(14). Let b be -284*(p - (-2 - 2)). Let q = b - 165. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - -452?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/324 - 2\/(-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -237, 2\/11, -1\/31, -2\/21, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 1\/1 + 0. Let f = k + -1. Let h be 2\/5 - 24\/35. Sort -0.2, f, h.\nAnswer: h, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140159830 is divided by 6093905.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/1535800 and 73\/61432?\nAnswer: 1535800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1040988590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**2 - 2*c - 3. Determine o(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072) + sqrt(9072)*1)\/(2*sqrt(729)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 16 = -4*r - 4, -4*r - 200 = -6*w. Solve 44*a + w = 40*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29486225*d**3 + 20812559*d**2 wrt d.\nAnswer: 176917350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t - 32. Let j(h) = 2*h + 1. Let c(p) = -j(p) - m(p). List the prime factors of c(-15).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232 and 21529832?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 373 - 233. Is q a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 70, 169, 318, 523, 790, 1125, 1534?\nAnswer: 2023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*l**2 - 44*l**2 + 302*l**2 + 97*l**2.\nAnswer: 537*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 0.4, 3\/2, -12136, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 x when four letters picked without replacement from {z: 2, l: 2, d: 1, x: 4}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 152 = 196. Let b be n\/18 + (-14)\/(-63). What is the least common multiple of 2\/(b - 14\/(-4)) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3027.6 + 2696. Let g = y - -332. Sort -1\/5, 3, g, -3.\nAnswer: -3, -1\/5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 782247534 rounded to the nearest 100000?\nAnswer: 782200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 22 = -2, -2*m + 17*m + 5*j = 235 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3158619645?\nAnswer: 3, 5, 210574643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 11*t**4\/12 + 197*t**2\/2 - 25*t - 2. Let r(v) be the first derivative of f(v). Let s(x) = -5*x**2. Determine r(s(z)).\nAnswer: -110*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 0 (c) -0.1 (d) -1893 (e) 0.03 (f) -0.3 (g) -0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 346*r + 4061. What are the prime factors of a(39)?\nAnswer: 5, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/((-2)\/18). Let m be 0\/((d\/2)\/(-3)). Is (-1 + m)\/(1\/(-67)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2406 or -2398?\nAnswer: -2398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -3. Let l = 8 + k. Suppose 10*o - 7*o - 4*i + 20 = 0, 4*o + 10 = 2*i. Solve -h + l*h = o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151249567 is divided by 747?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12819*m**3 + 4*m**2*n - 25*m**2 + 36304075*n wrt m.\nAnswer: -38457*m**2 + 8*m*n - 50*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1183, -842, -267, 548, 1609, 2922, 4493, 6328?\nAnswer: 8433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9916271nm in centimeters?\nAnswer: 0.00000009916271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (582 + 220 - 1271)*(-3*q - 6 + q + 3) to the form a*q + d and give d.\nAnswer: 1407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26832581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 290391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*q + 978578 = -711530, -5*h + 1690189 = 6*q. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 3*y + 2. Let r be s(-2). Is (8\/6)\/(r\/24) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -34.09, -2\/7, -2, -33, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - h**2 + 0*h**2 + (4*h**2 - 5*h**2 + 2*h**2 - h**2 + 0*h + 0*h - 2*h**2 + 0*h**2 + 3*h**2 + (1 - h - 1)*(-2*h + 0*h + h))*(-6 + 22 + 18).\nAnswer: 70*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + u = -144, -2*k + 16 = -4*u - 90. Let w = k - -73. Suppose 3*y - 169 = 4*m, 3*y - y + m = w. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 288*f - 54. Let m(z) = 82*z - 15. Let y(l) = -5*a(l) + 18*m(l). Let q(c) = 15*c**2. What is q(y(n))?\nAnswer: 19440*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 906\/26 - 2\/(-13). Let u be 154\/f - 4\/10. Let s be 52\/5 + 2\/(-5). Solve u*i - t + 1 = s, -5*i + t + 11 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(((-8)\/10)\/4). Let f(w) = -w**2 - 7*w - 4. Let q be f(v). Suppose 0*d + q = 2*d - 5*x, 5*x = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -22*u**2 + 1198*u + 80. What is c(56)?\nAnswer: -1824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -80375 divided by 80375\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(1 + 5 + 2 + -3*sqrt(2)*5 + sqrt(2)))**2.\nAnswer: -224*sqrt(2) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 294378 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -93, -200, -371, -606, -905, -1268, -1695?\n\"Answer: -32*f**2 - 11*f - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13878, 111140, 375140, 889248, 1736834, 3001268, 4765920, 7114160?\n\"Answer: 13895*f**3 - f**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(12)\/sqrt(4)*-6)**2 + 0.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 905, 1808, 2701, 3578, 4433, 5260?\nAnswer: 6053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 373 - 367. Solve y*s + 15 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-1)\/((-20)\/2808). Let h = p - 138. Which is the nearest to 1? (a) h (b) 4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 4346 + 8689 - 4343 + 35*j**3 - 3*j.\nAnswer: 35*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10064433 to the nearest integer?\nAnswer: 3172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8397d2 (base 16) in base 7?\nAnswer: 133206045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 6*i + 9*i**2)*(-4 - 43 - 66) - i**2 + 2*i**2 - 2*i**2.\nAnswer: -1018*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -86691.09 to the nearest 100.\nAnswer: -86700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 104*w**3 + 11*w**2 + 6*w + 10. Let t(x) = -50*x**3 - 5*x**2 - 3*x - 5. Give -13*t(j) - 6*u(j).\nAnswer: 26*j**3 - j**2 + 3*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -20 + 23 - (-1 + 845\/11). Let s = 73 + l. Factor s*g**3 + 8\/11 - 6\/11*g**2 + 0*g.\nAnswer: 2*(g - 2)**2*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 10*u = 96. Let a(g) = -14*g + 3. Is a(u) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19698 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 4*p**2 - 2*p - 6. Let u be z(-4). Solve 3*v = g - 8, -u*g - 3*v - 18 = 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 13*r**2 - 49*r - 29. Let c be g(-12). Suppose 4*b = 5*k + 3*b + 2472, 4 = 2*b. Let z = c + k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 15\/(45\/6). Solve 2*g - 2 = -u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 2*i. Let h(f) = -3*f**2 - 4*f + 1. Suppose -5*t = -3*z + 30, 0 = -2*z - 2*z - 3*t + 11. Calculate z*w(v) + 2*h(v).\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 6*z**2 - 8*z + 5. Let m be l(-7). Solve -3*o - m = -3*h, -5*h + 21 = -3*o - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than -2034\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -337*r - 327*r - 4020 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13405096 - -2359\nAnswer: -13402737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 6:04 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -224\/19*t**2 + 6696\/19*t + 2\/19*t**3 - 23328\/19 = 0.\nAnswer: 4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111 (base 2) in base 9?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -2\/7 (c) -11 (d) 35\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/7 - 642*b**3\/7 + 134*b**2\/7 + 42762*b\/7 - 11556 = 0. Calculate b.\nAnswer: -321, -9, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 37*n**3 - 8*n**2 + 92*n + 13. Let w(t) = -17*t**3 + 4*t**2 - 46*t - 6. Calculate -6*k(u) - 13*w(u).\nAnswer: -u**3 - 4*u**2 + 46*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 85 times 1167\nAnswer: 99195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58933 + -1?\nAnswer: 58932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4, 0 = 2*k + 2*k - v - 287. Suppose -53*t = -50*t - k. What is the least common multiple of t and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -12680, 8.\nAnswer: -12680, -15, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.5. Let h = -0.2 + u. Let z = 3.9 + -0.9. Which is the second smallest value? (a) h (b) 3\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31.63*1.5\nAnswer: -47.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 + (-23)\/(-2). Let f = n - 7. Suppose -c = f*c. Let i(r) = r**2 - 5. What is i(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21363662449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*f**3 - 310*f**2 - 313*f**2 + 930*f**2 - 307*f**2 - 159*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehehhhhhhehhhhhehheh. What is prob of picking 1 h and 2 e?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31316 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -132 + (-132 + 91 - -254)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5549.53ml to litres.\nAnswer: 5.54953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(44) + sqrt(11)) + 2 + -2.\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 138 = -5*b + 2*x, 0 = 4*b - 5*x - 135. Let r be (-7)\/(b\/15) - -587. Let l = r - 369. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/170 and -53\/34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.04956 (b) -2\/9 (c) -40 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 162.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 211741632 and 0.1.\nAnswer: 21174163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59170116 by 19723372.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 equal to 4072.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*x - 21, 2*x = d - x + 7. Let a(t) = t**2 - 8*t + 2. Let u be a(8). Suppose -4 = u*w, -4*z + w + 4*w = 6. Sort z, -2, d in increasing order.\nAnswer: z, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2257 and 5674?\nAnswer: 1280.6218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1216540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a - 11. Let w be z(6). Let g = -23 + w. Let f be 12\/10*40\/6. Solve g*o = 4*o + f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -453301, 1, 3?\nAnswer: -453301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7 - 335\/45) + (-13745)\/(-45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (8 - 18\/9). Let s be (4\/10)\/(2\/20). Sort s, u, -5 in descending order.\nAnswer: s, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 79. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2992)\/(1*2)*(6\/(-2) + 4). Which is smaller: z or -1493?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33254011 (base 6) to base 13.\nAnswer: -291502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11030, 11039, 11048, 11057, 11066?\n\"Answer: 9*x + 11021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7306*g**2*w + 279*g**2*y - g*w - 94*g*y + 2*w*y with respect to w.\nAnswer: -7306*g**2 - g + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1232488, 1232482, 1232474, 1232464, 1232452, 1232438?\nAnswer: 1232422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.0708987.\nAnswer: -0.00708987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*x = 9, b - 10*x = -12*x + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 (base 11) in base 2?\nAnswer: -1100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 623477557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 62 + 2 + (-1 - 1). Let o be (127\/2)\/(3\/i). Let f = -1331 + o. What is the common denominator of f and -27\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {g: 1, w: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 213321?\nAnswer: 213301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 10 - 5*p**2 + 857*p**3 - 2*p - 856*p**3 to the form f*p**3 + i + n*p + b*p**2 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 plus 3868072?\nAnswer: 3868072.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4757, 4778, 4801, 4826, 4853, 4882?\nAnswer: 4913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j + 0*j + 2 - 3 - 13*j - j - 3*j + 0*j - j - j + (2*j - 4*j + j)*(-4 + 3 + 3) + 2 - 2*j - 2 + 0 + j + 0.\nAnswer: -18*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -5 + 8 + -17\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90 - 91) + (-2 - 9) + 15 + -8 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-7)*(-13)\/(-2)*67\/((-12194)\/(-84))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*1*-1 + -5*(sqrt(121) + sqrt(121)*2 + sqrt(121) + sqrt(121) + sqrt(121)))\/(sqrt(44)\/(sqrt(64)*-1)))**2.\nAnswer: 169136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791054.\nAnswer: 2, 11, 41, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58\/109 or 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/5 - 396*l**2\/5 + 872*l.\nAnswer: -4*l*(l - 10)*(l + 109)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-9))\/((-2)\/(-111)). Let o = 53 - p. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y = -7*y - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651.915 decades in millennia?\nAnswer: 16.51915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 + 0*c**3 - 2*c**3 + (2*c**2 + 2*c**2 - 6*c**2)*(1 + 2*c - 1))*(-2*c**2 - 3*c**2 + 4*c**2).\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18959.53mm to kilometers.\nAnswer: 0.01895953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 612. What is j(34)?\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.302 + -0.258. What is i rounded to 3 decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4\/9 (b) -0.7 (c) 3\/5 (d) 0.5 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14) + 220\/420?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5*i - 38 - 57, 2*i = 3*t - 54. Calculate the highest common divisor of 60 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 0. Suppose -17 = 49*d - 66. Sort -2, v, -5, d.\nAnswer: -5, -2, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(1100) + 1 + (3*sqrt(275) - sqrt(132)\/sqrt(48)).\nAnswer: 6 + 49*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*r - 2*o + 16 = -310*r, r - 12 = -2*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2516908485 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*y**2 - 229*y - 25*y**5 + 20*y**2 - 55 + 230*y wrt y.\nAnswer: -500*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/7999577 and 40\/11.\nAnswer: 87995347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -0.553, -1\/17, 3, 1?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -49*d**4\/2 - 2345*d**3 + 6327*d**2\/2 + 10530*d + 5238 = 0?\nAnswer: -97, -6\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*n - 3*y - 17, 3 = y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7702.6457 + 7698.2. What is v rounded to one decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - z + 30 = 0, 57*h + 19*z + 8 - 2 = 58*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + 0.4. Let w = -575.6 + 523. Let k = w + 53. What is the nearest to 4 in -0.5, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 3. Let q = -1469 - -1472. Let v be -3*(-2)\/(-3) + -3. Let s(h) = -3*h - 2*h - 6 + h. What is q*s(m) + v*j(m)?\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2846366 - 2?\nAnswer: -2846368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*j + 9 = 0, 0*j = -j - 4. Let u(f) = -30*f**3 - f. Calculate u(m).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1276 and 985292?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231720 = 5*b + 231150 for b.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {o: 2, i: 1, x: 7, q: 2, g: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 82256.\nAnswer: 1\/20564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014038938062 rounded to five decimal places?\nAnswer: 0.01404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8840 = 612*i + 178*i + 15476 - 2196 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/109, -3\/76, -98, 5?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r - 6. Let u = 4029 + -4021. Determine f(u).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695126 is divided by 3260.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 230\/897*9\/(-15)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005667889?\nAnswer: 1005667889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3)**6 assuming u is positive.\nAnswer: u**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let b(h) = 2*h - 14. Let l(n) = 77*n - 1078. Let k(p) = -462*b(p) + 6*l(p). What is o(k(y))?\nAnswer: -924*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.410424km to centimeters.\nAnswer: 641042.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/8)\/(3\/22984). Calculate the greatest common factor of 1352 and f.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -406186.8?\nAnswer: 406187.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34516732 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59449678.\nAnswer: 2, 29724839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 131, -3, -2, 3, -15, -4 in decreasing order.\nAnswer: 131, 3, -2, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/170*(-10320)\/288.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 4 - (16 + -11). Let n be (h - 2\/8) + (-1940)\/(-16). Is n less than 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/9)\/((-533)\/67158)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-24)\/20)\/(-3))\/(135\/(-25) + 5). Sort -4, 1\/5, -2, a, 19.\nAnswer: -4, -2, a, 1\/5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2 + 366*i - 96. Let d(k) be the third derivative of -k**5\/6 + 183*k**4\/4 - 145*k**3\/3 - 30*k**2 + 2. Let l(s) = -4*d(s) + 11*n(s). Factor l(t).\nAnswer: (t - 52)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-2\/17)))**(3\/14))**(1\/11) assuming l is positive.\nAnswer: l**(3\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973936983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 105, 106, 107?\n\"Answer: x + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 3*j**2 + 0*j**2 + j - 2*j.\nAnswer: -3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 27, -3\/5, 0.1, 0, 0.133, 0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*j + 5*p, -4*j - 15 = 2*p + 3*p. Suppose 0 = 5*z - 3*s - 115, j = -z - 4*z + s + 125. What is the highest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -2 (c) -0.5 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 7:45 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 1. Let a(g) = 6*g**3 + 10*g**2 - 10. Determine a(v) - 10*x(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 951.150627us?\nAnswer: 0.0000000015726696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2539 = -5*a, -a = -3*k - 280 - 217. Let f = 13 - -33. Calculate the highest common divisor of f and a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*m**2*w**3 + 32501*m**2*w**2 + 2*m**2*w - 261*m**2 + 35*m - 72*w**3 - 306*w wrt w.\nAnswer: 42*m**2*w + 65002*m**2 - 432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 8*b**2 + 5*b. Suppose r = -3 + 6. Suppose -r*i + 8*i = -20. What is the units digit of w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-1)\/3) - -3. Suppose w = 5*o - 2*o - 45. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1788576 by -9616.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28730 - -b4?\nAnswer: 28824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 13*t**2 - 23 + 46 in the form m*t + q + j*t**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10*s - 31. Let a be g(-3). Let v = 554 + -553.5. What is the closest to -14 in -5, a, v, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 7*b**2 + b + 9. Let c be p(-7). Let g be (2\/c)\/((-30)\/20). What is the third smallest value in 3, 0, g, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 3\/7 (c) 22.1 (d) -2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Let n(y) = y**2 + 0*y**3 - 16*y**3 - 3*y**2 + 1 + 0*y**2. Let s be n(-1). What is the greatest common divisor of s and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*s - 6. Let d(g) = 7 + 1 + 8*g**2 - 5 + 3*g. Let f(r) = -17*r**2 - 7*r - 7. Let u(m) = s*f(m) + 7*d(m). Let z(j) = 3*j. Determine u(z(n)).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 147*x + 297. Let g be t(-2). Which is the smallest value? (a) -4 (b) g (c) 2 (d) 15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -13\/5, 31.542?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8425717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37 * 1988053.\nAnswer: -735579.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9)\/((-1000)\/150)*235?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 80 + 28. Let w = 92 - z. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40594.96 - 40595. Which is the fifth biggest value? (a) 1\/6 (b) 4 (c) r (d) 0.3 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1957 + 957. What is the highest common factor of r and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*-0.1885.\nAnswer: -0.01131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 535*q**3*y**3 - 6*q**2*y - 2*q*y**3 + 49*y**2 wrt q?\nAnswer: 3210*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/85443 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18324264 divided by 24\nAnswer: -763511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/5 - 12. Let h = 13 + a. What is the third biggest value in -4, 2\/11, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-135569.\nAnswer: 122012.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 10*c = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72203, -74127, -77333, -81821, -87591?\nAnswer: -94643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1304, -2608, -3912, -5216?\n\"Answer: -1304*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6) - 17\/(-26). Let c = 7.8 + -8.3. Suppose -4*k - 2 = -2*k. Put k, c, p in increasing order.\nAnswer: k, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.0452.\nAnswer: -0.1356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -9*u**4\/4 + 11*u**3\/3 - 266*u + 58. Differentiate w(l) with respect to l.\nAnswer: -27*l**2 + 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.2000169 + -2.2. Round b to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577348 less than 3577326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*j - 42*j - 15, -j - 9 = -2*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6614670 divided by -1322934\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5\/7 + 12*i**4\/7 + 256*i**3\/7 + 960*i**2\/7 + 1024*i\/7 = 0.\nAnswer: -4, -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 27 (c) 87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*m - 3*m - 37*m**4 + 102*m**4 + 84*m**4 + 184*m wrt m.\nAnswer: 1788*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557030 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*v - 0*v - 132, 0 = -5*o - 4*v + 124. Suppose -33*r + 6 = -32*r. What is the third derivative of -4*b**4 - r*b**2 - 17*b**2 + o*b**2 wrt b?\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 7:22 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -127 + a**2 - a**3 + 9*a**3 + 126 - 5*a**2 in the form m*a + u*a**3 + h*a**2 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 3*d + 2 = -5*m, -9 = -3*m - d. Let p be (8\/(-20))\/((-4)\/20 - 0). Let z(n) = -2 - p*n**m + 2. Let i(r) = -6*r**2. Give z(i(j)).\nAnswer: -72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32018 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10861, -25604, -40349, -55096, -69845, -84596, -99349?\n\"Answer: -z**2 - 14740*z + 3880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2280, 2837, 3332, 3735, 4016, 4145, 4092?\nAnswer: 3827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4 = 0, 5*f + 2*n = 30 + 3. Solve -5*v = f*p - 2*p + 30, 3*v + 2*p + 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.01 - -0.01. Let u = 120 + -593\/5. Let a = 452 - 451.8. Put u, a, v in decreasing order.\nAnswer: u, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 324 + -297 + (9 - -2).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisedddddeeedidd. Give prob of picking 3 d and 1 s.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.3 + -17.5. Put b, -5, -1, 0.5 in descending order.\nAnswer: 0.5, b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 3, 88 in descending order.\nAnswer: 88, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvvvvvvvvvnvvvvvvvnv. What is prob of picking 1 v and 1 n?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.003 times 1725552\nAnswer: 5176.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(637) - sqrt(78)\/sqrt(54).\nAnswer: -43*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z = 58. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + 0.8. Let l = -189\/130 + -3\/65. What is the second biggest value in 4\/3, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/13)*h*h*h\/(h*h*h**(-2\/25)\/h))**(2\/53)\/((h\/(h*h\/((h*h\/(h**(-2\/17)*h))\/h))*h**5*h)\/(h\/(h*h**0*h)*h*h)**(2\/21)) assuming h is positive.\nAnswer: h**(-30437461\/6149325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366515149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 0*c + 0*c)*(-1 + 1 + c) - 4*c**4 + 5*c**4 + 0*c**4 + 2*c**3 - 2*c**3 - c**4 + (-2*c**2 + c**2 - 4*c**2)*(4 + c**2 - 4) - c**4 + c**2 - c**2.\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f - 19. Suppose -16 = -3*h + 4*x, -4*h = -8*h + x + 30. What is the least common multiple of -4 + 5 - -1*5 and r(h)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 3143403. Let q(x) = x. Give h(q(v)).\nAnswer: v + 3143403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*h = -s + 32, -12*h + s = -335 + 178 + 234 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 730647778 divided by -52189127.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -4. What is the common denominator of (-9 - -8)*(-95)\/2 and 0 + (-23)\/(-11) + f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 not equal to 9\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 9*w - 3. Let y be o(6). Let s be 1\/((-2 - -5)\/y). Suppose -3*i + 82 = -s. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3298218 by 363.\nAnswer: -9086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 22*b**2 + 6*b + 3. Does 3 divide a(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 4167405.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-4 + -26) - -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpodoojdo. Give prob of sequence ooj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260718 is divided by 902?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q. Let b be r(-2). Let u = 19 + b. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3460342313?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 267*z + 295*z**3 - 14*z - 290*z**3 + (2 - 2 - 3*z**2)*(1 - 2*z - 1).\nAnswer: 11*z**3 + 253*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009360504 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*m + 2070, -3*g - 341 = -2*m - 1563. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153290385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxsx when four letters picked without replacement from {s: 1, t: 2, q: 1, x: 3, a: 3, p: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/169996 and -27\/1869956.\nAnswer: 1869956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 29*q**2 - q + 32. Let n be l(29). Suppose -2*o = -2*j - o + 20, n*o - 61 = -5*j. Put 3, j, -4 in increasing order.\nAnswer: -4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**2 - 54356344*v - 163068996 = 0.\nAnswer: -13589083, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1235 = 5*t, 4*k - 1020 = 2*t + 2*t. Round t to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - 35. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1041*d**2 + 7700. Let z(f) = -7*f**2. Calculate n(z(u)).\nAnswer: 51009*u**4 + 7700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*t + 2066 - 21274. List the prime factors of (-21)\/(-35) + t\/5.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, k: 7}. What is prob of sequence kkkk?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.387737nm?\nAnswer: 0.000000006387737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-18))\/((-2)\/(-9)). Let j(l) = -7*l**3 - 4*l**2 + 3*l. Let k be j(o). Let v(i) = -18*i - 1. What is the tens digit of v(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.3 - -3.3. Let a = -29.03 - m. Is a > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002837528094 rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1162005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 578 divide 667675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 141587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 541*a - 1308*a**2 - 541*a + 5966 + 1861 wrt a.\nAnswer: -2616*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 104. Let w = 100 - f. Factor -q**4 + 2*q**2 - w*q + 32*q - 1.\nAnswer: -(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -1\/50, 17\/3, -0.6, 2, -1\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 2*d**3 + 3*d**4 - 3 + 0*d**4 in the form g*d + s*d**4 + p*d**3 + o*d**2 + y and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1 + -2 + 1)\/(-2). Which is the nearest to l? (a) -1\/6 (b) -2\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 2*b - 1. Let z(q) = q**2 - 2*q - 1. Suppose 1476 = 37*u - 35*u. Let c = 735 - u. Determine c*y(m) + 2*z(m).\nAnswer: -m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -767 + 13?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177618.\nAnswer: 2, 3, 7, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**3 - 2*q**2 - 2*q - 2. Let b(c) = -4*c**3 - 3*c**2 - 3*c - 3. Suppose 127*v + 42 = 134*v. Calculate v*x(f) - 4*b(f).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -769 divided by 4450.\nAnswer: -769\/4450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*d = 8, 17*d + 10 = 2*t + 20*d. Suppose 35 = t*u - 151. What are the prime factors of u?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569634270?\nAnswer: 2, 3, 5, 1609, 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 10:01 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11881 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 5*h - 5*x - 467, 3*x = -3*h + 435. What are the prime factors of h?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/9 (b) 64 (c) -2 (d) 0 (e) -1\/9 (f) -17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74.165 - -74. Let x = f + -0.069. Round x to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17280 = -170*r + 750*r + 284*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/1700 and 13\/1100.\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3250907?\nAnswer: 11, 67, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 6*t - 7. Let f be l(-7). Suppose f = x + 2*x - 6. Suppose 0 = -x*b - 2*b + 60. What is the highest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 1. Let k be n(3). Let o be 55\/15 - k\/3. What is the third derivative of 2*j + o*j**3 - 4*j - 3*j**2 + 2*j wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -31*r**3\/3 - 3*r**2\/2 + 6*r - 27. What is the second derivative of o(h) wrt h?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:19 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x + 14. Let p(o) = o - 4. Calculate b(p(r)).\nAnswer: -7*r + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5 - 52\/(-160). What is the closest to 8 in 4, -1\/2, -3, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 471.3 + -118. Let i = -353 + z. Put 0, i, -2\/15, 0.4 in descending order.\nAnswer: 0.4, i, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*5\/(10\/28). Let l(t) = x - 20*t**2 + 3*t + 32 - 16*t**2 + 35*t**2. What are the prime factors of l(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1253*f**2 + 484*f**2 - 540*f**2 + 256*f**2 - 1021*f**2 as n*f**2 + l + o*f and give n.\nAnswer: -2074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4120 - 4134 = s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -1, 5, -8, -3 in decreasing order.\nAnswer: 5, -1, -3, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*k - 15, -4*s + 12 = -0*s - 2*k. Let j be (-290)\/(-25) + 6\/15. Let t = 14 - j. Solve t*o - i = -0 - 2, o + 11 = s*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 85 + 72 = -m, -5*m = -2*y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 take away 491632469.4?\nAnswer: -491631392.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**2 + 1066*q - 210. Let v be a(213). Determine y so that y**2 - 4 - 6*y + 1\/2*y**5 + 11\/2*y**3 + v*y**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z**(-2\/119)*z)*z)\/(z\/(z*z\/z**(-31)*z)))\/(z**4\/z**10) assuming z is positive.\nAnswer: z**(4881\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -144*10.8\nAnswer: -1555.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*z - 216 = 12*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/70)\/((-32)\/896). Solve 3*h = v*f + 12 - 0, 0 = h + f - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -12*o - 8. Let t be n(-6). Let z = t - 40. Calculate the remainder when 68 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2. Let b(o) be the first derivative of -51*o**2 - 353. Determine u(b(z)).\nAnswer: 10404*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Suppose 0 = p*k - 5*o - 59, -4*o - 3 = -k + 2*k. Suppose 0 = -2*b + 5*z - k, 2*b + 3*z = 12 + 15. What is the remainder when b is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918275131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -16 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 39*q**2 - 11*q + 83. Let p be j(9). Suppose 18*k = p + 1177. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5352 and 1425639?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -5*f**3\/6 + 3*f**2\/2 + f. Suppose -48*a - 22*a = -94*a + 48. What is d(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571253 to the power of 1\/2, to the nearest integer?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*i - 3*n - 0, i = 5*n + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 + 961 = 111*v - 52 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.76 + -0.26. What is the second biggest value in a, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20895 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1010385 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 4)*(0*o - 4*o - 1 + 2*o).\nAnswer: 10*o + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*b - 4. Let a(t) be the second derivative of 2*t + 0*t**3 + 0 - 1\/30*t**4 + 0*t**b. Factor a(n).\nAnswer: -2*n**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 4*h**2 - h + 16. Let q be t(-5). Suppose 2*n + 16 = -4*x - 0*n, 0 = 5*x + 3*n + 21. Put q, x, -2, 0 in descending order.\nAnswer: 0, -2, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128992 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*k = 36, 0 = -0*c - 2*c + 5*k - 3. Suppose -14 = -3*r + 28. Let z = r - c. Solve 5*v + 3*l = 20, 2*l = 2 + z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1350 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104444309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 + 149823*m**4 + 23390640*m**3 + 912472236*m**2.\nAnswer: -m**2*(m - 149979)*(m + 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - sqrt(459)*-2)\/(sqrt(576)\/sqrt(12)))**2.\nAnswer: 833\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.7 + -8.6. What is the second biggest value in -2\/17, -0.4, u, 4\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5944.978 hours?\nAnswer: 356698.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/3 (c) 0.7 (d) 553 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 5:25 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.07108 hours in minutes?\nAnswer: 784.2648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54651 - 10?\nAnswer: -54661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.7 - 13.2. Suppose -57*t = -64*t - 28. What is the nearest to -1\/4 in t, -6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 60 = 8. Suppose 0 = -g - m + 48, 4*g - 110 = f*m + 42. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 427110?\nAnswer: 2562660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.814 + -0.144. Let a = 0.669913 - k. Round a to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2402468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 52\/5 of a tonne?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 187798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 236 - 235.9. What is the nearest to 0 in 7, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*v + 104, -5*r - 75 = v + 52. Let m = 15 + r. What is the lowest common multiple of 2 and (-5)\/(m\/4) - -12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1410232 (base 8) to base 13\nAnswer: -10bbb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265 divided by -7.\nAnswer: -265\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2236, 1\/4, 251.9, -1\/5 in increasing order.\nAnswer: -2236, -1\/5, 1\/4, 251.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u. Let k(v) = -v + 1. Let w(f) = -3. Let p(g) = 3*k(g) + w(g). Let q(i) = -5*a(i) - 6*p(i). Give q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -337 or 284\/9?\nAnswer: 284\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -4520?\nAnswer: -4516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 8*f + 14. Let u be s(-6). Let z(p) = -2*p + 7. Let d be z(u). Solve -5*q - 24 = 4*v - 3*q, d*q - 4 = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 36*s**3 - 11*s**2 - 89*s + 605. Is f(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2659, -5, -12, -1, 0, -4 in increasing order.\nAnswer: -2659, -12, -5, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1167*v = -11294 - 3523 - 2688 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511, 722, 1071, 1558, 2183, 2946?\nAnswer: 3847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94479373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0\/(-10))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 17*i**6\/120 + i**5\/12 + i**4\/8 - i**3\/3 + 8*i**2. Let v be c(-2). Let w = v - -292. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m = 6*m - 84 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -321*j + 34. Let q(s) = 2*s**2 + 36. Give b(q(w)).\nAnswer: -642*w**2 - 11522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 59*m**6\/60 - m**4\/12 + 5879*m**3\/6 - 3708*m**2. What is the derivative of t(b) wrt b?\nAnswer: 354*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16.6806 and -47.\nAnswer: -30.3194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 6524.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8193436, 16386854, 24580272?\n\"Answer: 8193418*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 4) + 2 + 0. Let o be 19 + f + (2 - 0). Let p be ((-8)\/o)\/(1\/5). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 7\/2, 2, 12, -4?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1\/(x\/x**5))\/((x*x*x\/x**2)\/(x**(-4\/3)\/x)))\/((x*x**5*x**(-1\/5)\/x)\/(x\/(x**(-5)\/x)*x\/(x*x**(2\/7)))) assuming x is positive.\nAnswer: x**(376\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-36)*-3*1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10000110110001101011011000001?\nAnswer: -10000110110001101011011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 2753*o - 19364. Calculate u(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4 = -4*s, 2*u + 3*s - 82 = -56 - 22 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*w + 2, -2*w - 5 = 3*p - w. Sort 10, -4, 0, p.\nAnswer: -4, p, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155 + 200 - 18) + -82 + -1?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 540 (b) -7\/5 (c) 4.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014091 rounded to 5 decimal places?\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -107062 and -321 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 599661, 2398627, 5396895, 9594465, 14991337, 21587511?\n\"Answer: 599651*v**2 + 13*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 17 - (86 + (-26 - -42) + -54)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**3\/6 + f**2\/2 + 3*f. Let n be k(0). What is the tens digit of 15\/n - (-2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4 (b) 1\/17 (c) -5 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - 7. Give d(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 270.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4168 + 4006. Which is the biggest value? (a) 3 (b) -5 (c) -0.3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2178\/968)\/(2\/(-8))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**2 + 486*x - 19608 = 0.\nAnswer: 76, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - (2 - (-1 - -1)). Suppose -3*p = n, -2*t = -3*t - 2*p - 659. Let k = t - -2492. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405721 to the power of 1\/2, to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32.59, 26, -0.05?\nAnswer: -32.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.9187nm to centimeters.\nAnswer: 0.00000639187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(27) + (sqrt(27) - (sqrt(108)\/sqrt(2))\/sqrt(2)) - sqrt(54)\/(1*sqrt(2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/22 + 6\/4. Let q = 39265\/3 + -13088. What is the closest to q in 0.5, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554010 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + v**2 + 12*v - 11. Let q = -4363 - -4367. Give g(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 798231 to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, a: 4, n: 5}. Give prob of sequence ar.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*1*sqrt(133) - sqrt(133)) + sqrt(133))*-5)\/((sqrt(6300)*2 + sqrt(6300))\/sqrt(9)).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5186843503 to the power of 1\/2, to the nearest integer?\nAnswer: 72020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = 3*c. Suppose 0 = c*n - n. Let m be (-2 - (n - 1))*-121. What is the greatest common factor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4\/5 + c**3\/5 + 7*c**2\/5 - 13*c\/5 + 6\/5 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -7, -241846 in descending order.\nAnswer: 4, 1, -7, -241846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 + 59045 - 59045.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 3:01 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3717\/(-153) + 26.\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21229*h**2 + 9572*h.\nAnswer: 42458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237690?\nAnswer: 2, 5, 61, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/7 + 100294*b\/7 - 7498420 = 0. What is b?\nAnswer: -50665, 518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1238 - 1255. Which is bigger: q or -19?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t**5 - 14364*t**4 + 8288068*t**3 - 863353224*t**2 + 4214036080*t - 513280800 = 0 for t.\nAnswer: -810, 1\/8, 5, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (11 - -2)\/(1\/13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-3 + 2 + 2). Suppose -s + 0*s + 3 = 4*g, x = -5*s - 3*g + 15. What is the second derivative of 9*j**3 - 7*j**s - 3*j + 2*j**3 + 0*j wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1799785\/706 - -29\/1412. Let k = 2526 + f. Calculate the common denominator of k and -54\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31616\/128*(-14)\/(-637)*21\/(-1)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from fsssessemsf.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 43?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 12:23 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 21 - 5*m - 4*m**3 + 9\/2*m**2. Find the second derivative of u(r) wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 1:49 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -2*m - 69, -3 = 2*s - 3*m. Sort s, 1, 3, -3 in decreasing order.\nAnswer: s, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -61326622?\nAnswer: 5\/61326622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -3 + -8 + (0 - (-1 - -2))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 212 + -207. Let x be (-1 - (-10)\/a) + -1 + -20870. Round x to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Suppose -2*s - 5 = -5*h + 5, r*h + s = 4. Let k(n) = 7*n - 2. What is the lowest common multiple of 18 and k(h)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 - -320. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(-4 + 3 + 2 + (-2 + 2 + 2)*(5 - 2 - 1) - 2 + 2 + 1 + 1 - 1 - 2) + 2 + 8 + 1)*(-3*s - 4*s + 4*s).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*r + 1\/4*r**3 - 11\/12*r**2.\nAnswer: r*(r - 3)*(3*r - 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.015994 and 1.1?\nAnswer: 1.115994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ethb when four letters picked without replacement from {h: 1, b: 1, t: 1, y: 1, e: 1, z: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, 223, 703, 1325, 2083, 2971, 3983, 5113?\nAnswer: 6355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74395145 to the power of 1\/2, to the nearest integer?\nAnswer: 8625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71399 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -2, 24887, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9734, 4 in decreasing order.\nAnswer: 5, 4, -9734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 9. Let b be f(-6). Let p(a) = a**3 - 6*a**2 + 7*a - 5. Let v be p(4). Let k = v + 15. What is the highest common factor of k and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.06? (a) 2\/29 (b) 2\/15 (c) -2\/7 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31\/36, 82, -1?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 1. Let d be x(-6). Suppose 9 = -9*o + 12*o. Solve -o*n = -4*a + d, 4 = -3*a + n + 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71261 take away 7414?\nAnswer: -78675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/6))**(1\/58)*(k**0)**(-1\/75) assuming k is positive.\nAnswer: k**(7\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -83\/2. Sort 2\/5, q, 5 in increasing order.\nAnswer: 2\/5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/10)\/((-3)\/15). Let b be (x - -1) + (-28)\/18. Is b less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 2*l + 0*l + 3*l - 5*l. Let w be j(-4). Suppose 4*r + 361708 - 45708 = w. What is r rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - 9 - ((-2)\/2 + 0). Let s(q) = q**2 - q - 1. Let h(r) = 2*r**3 + r**2 - 3*r - 5. What is c*h(i) + 3*s(i)?\nAnswer: -2*i**3 + 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 9*f**2 - 8*f - 3. Let k be z(-8). What is the remainder when 98 is divided by 12*3 - (k + (2 - -4))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.54603 + -0.14603. Put -0.5, v, 4, -1\/8, -22 in decreasing order.\nAnswer: 4, v, -1\/8, -0.5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13303 (base 9) to base 14.\nAnswer: 33c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (51 + -41)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -18399, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 5. Let s(x) = 4*x + 15. Let f(w) = -3*s(w) - 8*v(w). Let c(z) be the first derivative of 5*z**2\/2 + 6*z - 9. Determine 5*c(a) + 6*f(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 68*x + 5. Let q(l) = -170*l - 12. Determine -5*q(t) - 12*v(t).\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -9*j - 48. Let n be b(-4). Is 36 a factor of n\/(13\/(1196\/(-8)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 10. Suppose -q*s - 24 = -84. Suppose -l = -0*l + 4*k + s, -5*l + 40 = -5*k. Let x(m) = -2*m + 4. Determine x(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4265662?\nAnswer: 2, 31, 107, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqyylqqgqplygym. What is prob of sequence qmq?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 e when three letters picked without replacement from {c: 1, i: 1, s: 7, b: 3, e: 2}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -373102 + 7?\nAnswer: -373073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 2. Let m(k) = -k**2 + 7*k + 3. Let n be m(8). Let h be t(n). Suppose -11 = -2*g + 3*z, -h*g = -g + 5*z + 13. Are g and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35, -71, -107, -143, -179, -215?\n\"Answer: -36*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z + 253. Let l(f) = -5*f - 255. Calculate 2*c(u) + 3*l(u).\nAnswer: -u - 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from {d: 7, z: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 10. Suppose -y*x = -8377 + 943. What are the prime factors of x?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 37253.\nAnswer: 74506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 3309*s**2 - 13239*s + 68. Calculate y(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 + 911 = -182*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 41*p + 5. Let n(c) = c**2 + 40*c - 4. Let a(d) = -4*b(d) - 5*n(d). What is the second derivative of a(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12011158?\nAnswer: 2, 6005579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 12*z + 6. What is w(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*4*(-2)\/(-4). Suppose -f = -0*d - d. Suppose 0 = -d*i - 0*i + 6. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 50\/39343 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -6, 4, 1 in ascending order.\nAnswer: -6, 2\/15, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, 0.03, 0.2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 34 in descending order.\nAnswer: 34, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.6 - -25. What is the third smallest value in a, 4, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w**3 + 0 + 0 + 133*w**3.\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 5*r**2 + 4*r + 4. Let b be h(4). Let x(y) be the second derivative of -y**4\/12 + 2*y**3\/3 + 5*y**2\/2 - 2*y. Determine x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-20))\/(2\/2130). Let s = 1304 - n. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230 divided by -46.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271 greater than -2\/10697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*n + 5 = 0, 3*k - 2*n - 50 = -n. Solve -6*a = -a + k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j**(2\/13))\/j**(-2\/19))\/(j**(-2\/17)*j*j**(-4)*j))**(2\/17))**(-23) assuming j is positive.\nAnswer: j**(-845388\/71383)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -66*a - 59*a - 91*a + 218*a. Let v(l) = -4*l**2 - 30*l. What is v(m(f))?\nAnswer: -16*f**2 - 60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/12)*r)**(-4\/15)*(r*r*((r\/(r\/(r\/(r**(7\/3)*r*r)))*r)\/r*r)\/r)**(1\/17))**(-20\/7) assuming r is positive.\nAnswer: r**(988\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 2:36 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a3 (base 11) in base 6?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3717 - -3717.1. What is the third biggest value in l, -5, -2\/69, 0.01?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 12*x**3 + 25*x**2 + 20*x + 27 - 21 + 2*x**4 - x**2 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**2 - 22*h - 7. Let o be s(-5). Which is bigger: o or 279?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 53. Let w be 54\/21*(-70)\/m. Solve -4*x + 4*t - w = -2*x, -4*t = -x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - 2*m + 3*m + (-13*m - 16*m - 2*m)*(2 + 2 - 5).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from uofommuoffmumufomuu.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/525)\/((-4)\/(-6))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 - 3*o**4 + 0*o**4 + (5*o**3 + o**3 - 5*o**3)*(2 - 2 - o) - 867 - 237*o**4 + 867 to u*o**3 + n + i*o + k*o**4 + m*o**2 and give k.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 259, 265, 271, 277, 283?\n\"Answer: 6*z + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39550501?\nAnswer: 23, 257, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11*s**2 + 2*s. Let u(v) = v**2 - 5*v - 8. Let f be u(6). Let c be o(f). Suppose 0 = 5*l - 2*q - 112, -q = -l - 17 + c. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9541801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-3*5\/3). Which is smaller: -9\/32 or h?\nAnswer: -9\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 82250 + -6?\nAnswer: 82243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/(-1)*-3. Suppose -u + o*y = 2*u - 40, 4*y - 10 = -3*u. Calculate the lowest common multiple of u and 16\/1 - (-1 + -1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -66, -103, -142, -183, -226?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(3 - 5) + 6. Suppose 0 = -b + 4*b - 3*g + 2697, -s*b = 3*g + 1788. Let y = b + 2900. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1 = -4. Let p(v) = 5*v**3 - 1. What is the least common multiple of (-2*1)\/((-1)\/5) and p(s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - h - 3*h)*((h + h + 0*h)*(-h + h + h) - 5*h**2 + 2*h**2 + 5*h**2) + (3 + 16*h - 3)*(-h**2 + 0*h**2 + 0*h**2) + h**3 + h**2 - h**2.\nAnswer: -23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2406, 2460, 2558, 2706, 2910, 3176, 3510?\nAnswer: 3918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10b - 15b41?\nAnswer: -15a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 12*o + 48. Let i be w(3). Factor -15*f**3 - i*f - f**3 + 6*f**2 + 4*f**3 + 9*f**3.\nAnswer: -3*f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-3\/5))\/n*n)**9)**(-33) assuming n is positive.\nAnswer: n**(-594\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1191.28768 to the nearest ten.\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*n - 114*n = -100. Suppose 18706955 = -5*u + n*x - 13438045, 5*u + x + 32145000 = 0. What is u rounded to the nearest 100000?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 + -2 + 36 - (-24 + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times -170275?\nAnswer: -28946.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-206)\/42)\/((-10328)\/216888).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 461503.98 and 0.011.\nAnswer: 461503.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -4.6.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*s - 1350, 3*x = s + 3940 + 84. What is the greatest common divisor of 110 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243176 and 1614?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 b when four letters picked without replacement from hxubhhbhhhhbbbbhb.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 16 + 0 + -3. Does 3 divide (-51)\/(-21) + i\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 12, -4*s = -5*h + 9*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s + 18. Let v(o) = o**2 + 11*o - 29. Let k be v(-13). Let l be a(k). Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.1, -1, 25785, -2?\nAnswer: 25785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/86 + -131\/172. Is g at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -358 or -357?\nAnswer: -358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 1. Suppose -5*f - 1 = -21. Let z(c) = 4*c**2 - 4*c + 4 - c**2 - c**2. What is f*l(h) + z(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -55, -164, -369, -700, -1187, -1860, -2749?\n\"Answer: -5*n**3 - 3*n**2 + n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 3 (c) -1\/15 (d) -0.2 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2274, -8973, -20138, -35769, -55866, -80429, -109458?\nAnswer: -142953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**3\/9 - 5*v**2 - 31*v\/3 + 222. Factor a(p).\nAnswer: (p - 31)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 41. Suppose -2*c - 2*r + 6*r + 2 = t, 0 = -r + 2. Suppose -2*h + 43 = -c*a, 3*a + 0*a + h = -28. Put a, 3, -4 in decreasing order.\nAnswer: 3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -l. Suppose 4 = 5*a + 4*w + l, -a = 4*w + 6. Let p(d) = -6*d + 3. Calculate p(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21895 (base 16) to base 8.\nAnswer: 414225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 8*k - 204. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -81*q - 4. Are q and 3038 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - m + 8. Let w = 146 - 141. Let g be 0\/(6\/(-2) + w). Solve d = -m - g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, r: 4, d: 1, x: 1, z: 7, b: 5}. What is prob of picking 1 x, 1 z, and 1 d?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(4 + 0 + sqrt(75) + (sqrt(75) - -2*sqrt(75)*-1) + -2*(1 + sqrt(432) + (sqrt(192) + sqrt(192) + (sqrt(192) - -2*sqrt(192)) - sqrt(192)))).\nAnswer: -88*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkka when four letters picked without replacement from {e: 2, k: 9, f: 3, z: 3, a: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47\/440 + 1\/55. Let g = -0.41238 - -0.81238. Let k be (-2)\/4 - (-13)\/18. What is the nearest to k in d, g, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((264\/252)\/11)\/((-1)\/(-3)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 2*f**4 - 3*f**2)*(0 + 3 - 1) + 15*f**3 + 15*f**4 - 15*f**3.\nAnswer: 11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2 - 6*l + 2. Let k(q) = q. Let h be k(5). Suppose -5*p - 19 = 21. Let g(t) = 4*t**2 - 4*t + 1. What is h*a(z) + p*g(z)?\nAnswer: -2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2120 - 2104414?\nAnswer: -2102244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 23*m + 117. Let o(b) = b**2 + 30*b + 204. Let x be o(-12). Calculate s(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**5\/4 - 5*j**4\/2 - j + 47. Let r(n) be the first derivative of b(n). What is i in r(i) = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*p**4 + 14*b**2*p + 43996*p**4 - 1131 wrt p?\nAnswer: -24*b**2*p**2 + 527952*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u*(u*u\/(u\/u**1)*u)\/u))**(-4)\/(u*u**0\/u*u)**(1\/2) assuming u is positive.\nAnswer: u**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728 (base 14) to base 8.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*o = 168*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163 + 796. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 58 + 4*k**3 + 0*k**2 + 0*k**2 + 2*k**3 + (k**3 + 3*k**3 - 3*k**3)*(2 + 0 + 0))*(2*k - 6*k + 0*k) - 99*k**4 + 3*k**4 + 0*k**4.\nAnswer: -128*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = 2*x. Suppose 10 = 4*c + o - 2*o, -3*c + x*o + 12 = 0. Let b be (-2)\/10*1 + (-3)\/(-15). Solve -c*r + b*r = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -3. Suppose 3 - 33 = 3*t. Let b = n - t. Solve -b = 3*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 133 - 70 = -2*p, 2*h = 5*p - 513. Suppose m + 92 = -m. Let z = p + m. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63 - 15a232?\nAnswer: -15a295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.589 - 12.589. Let o = 11.6 + -12. Let p be 1\/4*(-32)\/(-36). Which is the second biggest value? (a) k (b) p (c) 1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x**3 - 472 - 104*x**3 + 471.\nAnswer: -133*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/(9\/18). What are the prime factors of 5*38*i\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4130 + 40?\nAnswer: 4210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4571399 = -196*p + 2619253. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*m - 3395 = 4366, 3*v = -7*m + 7761. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqppqqqqq. What is prob of picking 1 p and 1 q?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-181 - -178) + 0 + -20\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(99) - (4 + sqrt(99))*6)**2 + sqrt(132)\/(-6*2*sqrt(12)).\nAnswer: 8639*sqrt(11)\/12 + 3051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.2798 + 0.4.\nAnswer: -41.8798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/2 + 5*g**2 - 9*g\/2 = 0. Calculate g.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71626367111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 1\/2, -0.4, -11, 6, -3.\nAnswer: -11, -3, -0.4, -2\/15, 1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2))**(-9)*(t**(-2))**(-2\/77))\/((t**(-1\/2)\/t)**(-14\/11)*(t**0\/t)**(-22\/7)) assuming t is positive.\nAnswer: t**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000188825 rounded to seven decimal places?\nAnswer: 0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 7*w - 9. Let g be (-3)\/9 - (-70)\/(-6). Let o = g - -7. Let p be (-112)\/20 + 2\/o. What is b(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 137*f - 37. Is c(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -3 (c) -0.5 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*s - 10 - 10, -4*s = -2*b. Let r(x) = -x + 9. Let n be r(6). Let p(d) = -d**2 - 18*d + 210. Let i be p(-26). Put n, b, i in decreasing order.\nAnswer: b, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3034891570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2518 by -22676.\nAnswer: 1259\/11338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-700) - (15\/(-21) + 1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzirjhrchjii. What is prob of sequence hzjc?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 38*b**3 + 820*b**2 - 351*b + 24. Let y be j(-22). Factor 1\/2*h**y + 0 + 5\/2*h.\nAnswer: h*(h + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, 22, 45, 64, 79, 90?\n\"Answer: -2*m**2 + 33*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -14. Let g = l - 8. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 11:38 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1\/345912925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 - 3884823?\nAnswer: -3884824.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9510 is divided by 1900.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -1 - 0. Let a be (1 - q\/(-2))*82. Suppose -2*n = -2*y - 22, 0 = -n + 6*n + 2*y - a. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:24 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9 = -c, 12 = -c - c - 4*l. Let a(x) = 2*x**2 - 4*x. List the prime factors of a(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from xrxhkkkrkxkqxhkhkx?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 10*v**2 + 6*v - 55. Let x be 2 + -3 + 4\/1. Suppose -2*n = -q + 9, 5*q - x = -2*n + 6. What is the remainder when y(10) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2133 at least -2328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20633*i**5 + i**4 + 8*i**3 + 13*i**2 - 2*i + 449688 wrt i.\nAnswer: 1237980*i**2 + 24*i + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.3 + 5. Let i be (-2)\/(-5) + (-67504)\/(-440). Let f = -154 + i. Sort g, 1\/2, f.\nAnswer: g, f, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 4)*(0 + 2 - 1) - 1 - 1 + 1 + (-3 + 6 - 4)*(-14 - 23 + 6))*(15*n**4 + n - 3*n + 77*n**4).\nAnswer: 2576*n**4 - 56*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - q + 1)*(-77*q + 11798 - 11798).\nAnswer: 77*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/((-156)\/130)*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 511543 and 144083.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*h**4 + 15*h**4 + 46*h + 398*h**5 - 594*h wrt h?\nAnswer: 7960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(10) - sqrt(40)\/sqrt(4))\/sqrt(2))*1 + sqrt(180) + 2 + -3.\nAnswer: -1 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = i - 3*t, t - 10 = -t. Let r = 21 + i. Solve x - 2*d - 9 = r*x, 3 = d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 9*d**3 - 6*d**3 + 12*d**3.\nAnswer: -3*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/6 + 0)*(-3 - 0). Suppose 5*m + 5*z + 2190 = 10*z, 0 = -h*m + 3*z - 1748. Let v = 1313\/3 + m. Does v = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2111 - 87.9111. Round d to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d**2 - 31*d**2 + 5*d**2 + (-2*d + d + 2*d)*(0*d + d - 3*d) + 0*d + d**2 + 0*d + d**2 - d**2 - d**2 to m*d**2 + f + a*d and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + y - 2970, -14*b + 9*b + 14838 = 2*y. Is b a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 910?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4367140 is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**5\/3 + 262663*k**4\/3 + 3308654*k**3\/3 - 5567228*k**2\/3 - 5672104*k\/3 + 2941120\/3 = 0?\nAnswer: -52520, -14, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 191. Let p = -5 - -12. Suppose -p*x = -11*x + u. Solve -m - 5*r = -6*m - x, 0 = r - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*m + 23*m - 10*m + 1)*(-15*m + 10*m + 4*m)*(-2*m + 2*m - m).\nAnswer: -3*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 32. Let m = 4\/71 - 194\/923. What is the third smallest value in m, 13, o?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:49 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/32871 + -591527\/4963521. Let a = d + 9319\/906. Calculate the common denominator of -13\/4 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7550*c + 137290 = -323260 for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/12)\/((-2)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 11:18 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.8179l to millilitres.\nAnswer: 16817.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j + 2. Solve 2*h - j*h + 5*u - 11 = 0, 3*u - 4 = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48883146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3118)\/11 - -2 - 72\/132. Let a = 299 + o. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7676 (base 12) in base 16?\nAnswer: -32fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(294)*4)\/sqrt(7))\/(sqrt(2058)\/sqrt(7)) + -5))**2.\nAnswer: -1440*sqrt(7)\/7 + 6876\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5292\/686 + 1\/(21\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 + 4*p. Let w be l(2). Let y = -26 + w. Suppose y*j - v - 393 = -0*j, 0 = -4*j - 4*v + 780. What is j rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 14, s: 2}. Give prob of picking 1 s and 1 q.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2870 is divided by 317.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/23 <= -46663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-2\/65))\/o*o)**(1\/11)*o**(-33)\/o*o**(-2\/81) assuming o is positive.\nAnswer: o**(-1960172\/57915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20355\/(-2055) - -19) + -8. Are y and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283911705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -9*(3 + 69\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(153) - (sqrt(153) + 2))**2*6 + (sqrt(153) + sqrt(153) + (1*sqrt(153))**2)*4)*4*3 + 1.\nAnswer: 288*sqrt(17) + 7630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 84 = -11*z. Suppose -10*s = -z*s + 60. Find the first derivative of 31 + 10*f**3 + 5*f**3 + 31*f**4 - s*f**3 wrt f.\nAnswer: 124*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 4*l**2 + 4632*l**3 - 4631*l**3 + 34 + 3*l**2 + l**2 as a*l**2 + b*l + h + y*l**3 and give h.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5\/11 + 1834*z**4\/11 - 25302*z**3\/11 + 15606*z**2\/11 + 585144*z\/11 = 0.\nAnswer: -4, 0, 9, 903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 2 u when four letters picked without replacement from {g: 6, m: 2, f: 3, r: 2, u: 6}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 14 - 49 = 0. Let k(b) = b**2 - 7*b + 3. What is the remainder when 9 is divided by k(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 3*f**5\/20 + f**4\/6 - f**2\/2 + 5*f. What is g(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 5*h**2 - 5*h + 4. Let j be b(4). Suppose 3*y - 12 = -v, j*y + 12 = -v + 3*y. What is g in v + 1\/4*g**3 - 1\/4*g - 1\/4*g**4 + 1\/4*g**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o - 6*o + 17*o + 0 + 0.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 475\/38*((-2992)\/85)\/(-22)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 631561520?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82952, 165920, 248890, 331862?\nAnswer: 414836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y - 3. Let g(o) = -2*o + 2. Let a(m) = 5*g(m) + 2*k(m). Let w be a(3). Sort w, 2, 0 in ascending order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 104468 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 0.1, -4.4 in ascending order.\nAnswer: -19, -4.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1852*g - 1078*g - 190450 = 0 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 10. Let w be d(6). Suppose 2*b + 6 = -2*v, b - 2*v - w = 2*v. Calculate the highest common factor of 6 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/7 - 86901\/(-105)*1. Let i = g + -828. Which is the second smallest value? (a) i (b) 0 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11435 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2. Let c(u) = -3*u**2 - 2*u**2 + 4*u**2. Give c(x(h)).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1189200 to the nearest ten thousand.\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1238 = 50*m - 62. Differentiate -15*v**2 + v**3 + 24*v**2 + 62*v**2 - 17 - m with respect to v.\nAnswer: 3*v**2 + 142*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2\/19, 71?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1019*j**2 + 28*j - 111*j + 83*j - 125*j**2.\nAnswer: 894*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1975 + 4*h**3 - 986 - 990 - 58*h**2 + 13*h**2 + 4*h in the form x*h**2 + b*h**3 + f*h + g and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4))\/((247\/(-26))\/(-19))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1614073 is divided by 25620?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68911408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x - 133204 = -136168 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26723 by -207.\nAnswer: 26723\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 - 207 - (-11 + 7).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14\/11 - -64\/33. What is the smallest value in o, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941825.\nAnswer: 5, 101, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {c: 1, z: 1, j: 4, y: 2, u: 4, g: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*i - i, 605*i = -5*g + 602*i - 287 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -725030 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(11\/4)\/g)\/g*g\/(g*(g*g*g\/g**11)\/g)*g*g**(-8)\/g*g*g**6 assuming g is positive.\nAnswer: g**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1, 0.4, -12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16407 and 322222542.\nAnswer: 5469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 238466 and 920.\nAnswer: 239386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(((-225)\/(-40) - 0) + -5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggmyvagvcvvv. Give prob of picking 1 v and 2 g.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*-2*sqrt(242) - (1 + (sqrt(242)*2 + sqrt(242) + sqrt(242) + sqrt(242))*2 + sqrt(242)))**2*-2.\nAnswer: -1800966 - 2684*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 4*l**2 - 3*l**2)*(-18 + 2*l + 2 + 5).\nAnswer: -8*l**3 + 44*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 1. Let z(n) = -5*n + 8. Suppose -492 = -44*a + 126*a. Give a*y(o) + z(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 2\/97?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -122, -450, -996, -1760, -2742, -3942?\n\"Answer: -109*b**2 - b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - (-84)\/18)\/(2\/(-15)). Solve q = 14*c - 46 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 2*t**3\/3 + t**2 + 1. Let c be h(-2). Suppose 4*m - j - 98 = j, -2*j + 94 = c*m. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**3\/7 + 426*v**2\/7 - 35235*v\/7 + 68742\/7 = 0. What is v?\nAnswer: -201, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 41, -5, 4, -42.\nAnswer: -42, -5, 3, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((3 + -2*sqrt(425) - (sqrt(425) - (sqrt(425) + (sqrt(425) + sqrt(425) + 2)*3)))*-1)**2 + 1).\nAnswer: 360*sqrt(17) + 6882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + v + 4. Let z be o(0). Suppose -35 = -5*g + 5*b, -8*b = -5*g - z*b + 36. What is the remainder when 14 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1776 = -3*p, 14*h - 12*h = -4*p + 1172. Suppose 5*z = -v + 1126, -5*z + 537 = 2*v - h. Does 25 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*i**2 + 1065*i**2 - i - i + 801*i**2.\nAnswer: 2290*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:10 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 11*y**2 + 5*y - 16. Let b = -55 + 44. Let z(v) = 2*v + 10. Let f be z(b). Calculate the lowest common multiple of w(f) and 16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*m - 19. Suppose m - 95 = -4*x. Suppose x*n + 48 = 25*n. Solve 0 - n = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**29*u*u\/(u\/(u\/u**13))*u assuming u is positive.\nAnswer: u**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 79, -0.04295, 2\/9?\nAnswer: -0.04295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718*h - 716*h = 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-105)\/14)\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244411?\nAnswer: 244411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 17*w = -p - 6, 4*w - 6 = -5*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/924 and 103\/278432?\nAnswer: 835296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = v - 235, -i = 2*i - 6. What are the prime factors of v?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/16530 and -89\/90?\nAnswer: 49590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19472998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705671?\nAnswer: 577, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/4, -2, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 2*l**2 + l. Let b be a(-1). Suppose -14*y - 6543 + 39947 = b. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4128.8903 + -4128. What is u rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303819 is divided by 364?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0052 - -0.446. Let y = j - -1.6658. Let q = y + -0.117. Which is the second smallest value? (a) 1 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 7. Let j be c(6). Let m(b) = -7*b + 8. Let w(t) = -6*t + 7. Give j*m(d) + 6*w(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 232*q**2*z + 8459*q**2 - 2*q*z**3 with respect to z.\nAnswer: 232*q**2 - 6*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -65. Let a = 189\/20 + -46\/5. What is the nearest to i in 3, -2\/13, a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 54*w + 155. Let r be a(-51). Sort 1, r, -2, 0 in ascending order.\nAnswer: -2, 0, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-15) + (-112)\/(-840). Solve -w*n - 4 = 3*u - 0*n, 4*n - 36 = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774 is divided by 247?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/5))**13 assuming q is positive.\nAnswer: q**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 7, -3, 0 in ascending order.\nAnswer: -61, -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 244 (c) 0 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 4. Let g(l) = -5*l - 16. Let x(q) = 2*g(q) + 9*h(q). Let m be x(4). Let -2\/3*w**2 + 2\/3 + m*w = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17719 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 28*h + 13085. What is u(-101)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -183 * -0.3\nAnswer: 54.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21305200 * -0.8.\nAnswer: -17044160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146321 less than or equal to 146321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*z**2 - 55 + 24 + 13 + 18.\nAnswer: -508*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7328 divided by -4\nAnswer: -1832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-485)\/2522*(-17)\/170?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/9)\/(-4))\/(78\/2106)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 38*j + 180. Let p(s) = 39*s + 182. Let v be 25\/9 - 72\/(-324). Let k(t) = v*n(t) - 2*p(t). Differentiate k(y) wrt y.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-176)\/168)*(-56)\/(-42)*2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744227.\nAnswer: 3, 64601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 6256 = -9040. Does 35 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 + 33 = -59*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/69 + -178\/345. What is the second biggest value in 7.7, 6\/5, -1, d?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 26418*l - 78352. Give q(3).\nAnswer: 902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3014*y**2 + 34*y + 1407. Is c(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 975.4 + -977. Which is the third biggest value? (a) -0.5 (b) 1\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2539?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 - -65888b?\nAnswer: 6588a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 - 1 - -9 - (-4051 + 12)?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 18*i = -15*i - 125, 5*i - 15 = 0. Suppose -7 - 1 = -2*r, 0 = 2*k - r - 44. Calculate the remainder when n is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**2*u - 45111418*g**2 + 47289003*u wrt u?\nAnswer: -3*g**2 + 47289003","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237455.\nAnswer: 5, 47491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5}. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103057.\nAnswer: 257, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 340?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 203170447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 38 = -17*o. Suppose 6 = -o*y + 6*x - 8*x, 3*y + 2*x = -8. Suppose -9*m + 13 = -4*m - 4*h, 4 = -m + 3*h. Put 0, y, m, -19 in increasing order.\nAnswer: -19, y, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 15 = -4*n. Suppose 0 = -4*c + 2*p + 552, -3*c + 2*c - n*p + 138 = 0. What are the prime factors of c?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-1 + 10) - (3800 + -3797)) + 158\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6 - b + 8 - 2. Let i(x) = 2*x**2. Calculate i(k(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*p + 123*p - 4*y + 14 = 0, 17 = -p + 4*y. Let w(x) = 3*x - 1. Let j(k) = -8*k + 4. Calculate p*j(d) + 10*w(d).\nAnswer: 6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3083973 to the power of 1\/2, to the nearest integer?\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17343 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15007\/22 + 682. Let c = -29\/110 + u. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24571453 to the power of 1\/2, to the nearest integer?\nAnswer: 4957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 36\/270*645\/(-18)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 752 (b) -87 (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1242*d + 10383 = -11375 + 32607 + 54977 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240570 and 216270?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1447.336 and 0.4.\nAnswer: -578.9344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 16*y**2 + 18*y + 15. Let w be v(-17). Let r(c) = -26*c + 3 - 2 - 10*c. What is the units digit of r(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -110 + 0 + (6 + -4 - 1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3651 rounded to two dps?\nAnswer: 3.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 11*n**2 - 3*n + 1. Let z be q(11). Let l be (z\/(-56))\/(9\/(-21) + 0). Suppose 0 = r + 12 - 11. Is l less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let l = -14 + 7. Let m = -13\/2 - l. What is the nearest to 0.1 in 0.3, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*u - 10 = 0, a = -5*u + 269 - 279 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (344 - 315) + 0 + -13\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -27.1\nAnswer: -54.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.5, -0.1, 0.19 in increasing order.\nAnswer: -0.5, -0.1, 0.19, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6874236 + -11?\nAnswer: -6874247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + m = 2, 2*m - 4 = -2*r + 6*r. Suppose 67*k - 68*k = -168. Let d = 180 - k. Solve r = -3*w + 3*j - j, -3*w = 2*j + d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -13. Let o be (1 - 54)*(i - -1). Find the common denominator of -3\/16 and (-16)\/(-40) + o\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 88*k + 9. Calculate the least common multiple of 35 and a(-9).\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -173590.6 - -173597.2332285. Let t = 2.7732076 - c. Let h = 3.86 + t. What is h rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-5 + sqrt(17)*-2)**2) + -5*(sqrt(17) + 0) - (3 + -1*sqrt(17))**2*-6.\nAnswer: -60*sqrt(17) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/18*(-108)\/480*105\/12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -26. Let l be -5*-1*x\/(-15). Is 2499\/l + 2*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6428849 divided by -49\nAnswer: -131201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 0*o + 2*o)*(0 + 4 - 2)*(1 + 2 - 5)*(-4 + 5 + 1).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 1\/6 (c) 3 (d) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*r**2 + 0*r**2 - 2*r**3 + 0*r**3 + 2*r**2 to the form u*r**3 + i + b*r**2 + o*r and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 3*c**2 - 2*c - 2. Suppose -6*m - 2*d = -m - 106, 3*m - 4*d = 74. Calculate the remainder when m is divided by n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006348 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1966 and 9651094.\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -2\/3 (c) 16\/7 (d) -0.675\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4097710717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 58?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1732 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3, -4, 13 in increasing order.\nAnswer: -4, 0, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k + 116 + 478 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - 0. Let b = 15 - m. Let q = 44 - 30. Calculate the remainder when b is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 + 11 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 38. Suppose b - x - 5 = 0. Solve -b = -3*y - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-75)\/(-27) + (-4)\/(-18). Let y(w) = -6*w**2 - 526*w - 326. Let n be y(-87). Solve 5*f - n - g = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -10. Let a = -11 - x. Suppose s - 29 = a. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2*3)\/((-216)\/648).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 8. Suppose 2*d + m = 1, 2*d = p - 8. Let f(b) = b**3 - 2*b - 1. Let w be f(p). Solve q - w = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 3*t**2 - 7*t - 9. Determine b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.855 to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-7 - -11 - (1 + 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22\/3 + 15\/2. Let z = 6.4 + -6. What is the nearest to -2 in i, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5449373*x + 0 + 3 - 3.\nAnswer: 5449373*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11472 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from xlslslssssssxlxxx?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, 9, 39, 103, 213, 381, 619, 939?\n\"Answer: 2*v**3 - v**2 - 3*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 10. Let f = -5 - -7. Let h = 35\/2 - 17. Sort h, f, k in ascending order.\nAnswer: k, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 631. Calculate l(-87).\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 55 - 19 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v + 14. Let c be p(5). Let x be (-1 + c)\/((-12)\/(-6)). Suppose 4*q = 1 + x. Calculate the greatest common factor of q and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63143.6054 to the nearest one hundred.\nAnswer: -63100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.061 * 0.4\nAnswer: -0.0244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -0.3 in decreasing order.\nAnswer: 1, -0.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2\/3 + 880202*a + 155816640 = 0.\nAnswer: -177, 1320480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -124847*b. Let n(v) = 2*v**2. Calculate u(n(d)).\nAnswer: -249694*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, j: 4}. What is prob of sequence jjjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 560954554 to the power of 1\/2, to the nearest integer?\nAnswer: 23684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*k - 137, -120*k - 5*v = -116*k - 127. What is the smallest common multiple of 3325 and k?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + g**2 + 13*g + 4815. What are the prime factors of x(0)?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2\/3 + 887950*c - 118268280375 = 0.\nAnswer: 266385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*m**5 - 62*m**4 + m**2 - 18029*m?\nAnswer: -4800*m**2 - 1488*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-173173)\/519)\/(-143))\/((-3)\/(-9)*1*5)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1272 and 20694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 0*z + 0*z**4 - 13*z**2 + 0*z**3 + 0*z**5 - 37\/6*z**6 + 2. What is the second derivative of l(h) wrt h?\nAnswer: -740*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111 + 10110110100011?\nAnswer: 10110100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 34938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)\/(f**4\/f))**(-5\/18) assuming f is positive.\nAnswer: f**(65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.224808 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4365 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 54931936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23, -1, 37, 97, 185, 307, 469?\n\"Answer: d**3 + 2*d**2 + 9*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26422138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10\/9)\/((i\/(i\/((i*i*(i\/i**(1\/4)*i)\/i)\/i)))\/i)*(i*i*i\/(i\/(i**(-2\/19)*i))*i)\/(i\/i**(2\/27)*i) assuming i is positive.\nAnswer: i**(221\/2052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/45*(-4 - (-178)\/42). Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, 86, 131, 66?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**5 + 540*b**4 - 30*b**3 - 3280*b**2 - 4335*b - 1620.\nAnswer: 5*(b - 3)*(b + 1)**3*(b + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(3*c**3 - 2*c**4 - 3*c**3) + (-2 + 2 - 2*c**4)*(0 + 4 - 3) + 417*c**4 + 629*c**4 - 818*c**4.\nAnswer: 228*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 532.85 + -517. Let f = -16 + n. Let r = f - 2.85. Sort -0.2, r, 1\/2 in descending order.\nAnswer: 1\/2, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/12)*j*j**(-2\/3))\/(j**(2\/7)*(j*j**(-6))\/j)*(j**(2\/15)\/j**1)**(-10\/13) assuming j is positive.\nAnswer: j**(655\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5286.2 rounded to the nearest one hundred?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (4 - 46 - -67).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 68 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 11028*z.\nAnswer: 4*z*(z + 2757)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2906031 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 31*p**2 - 261*p + 518. What is o(2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 16. Let x be v(-8). Put x, -5, 3, -1 in increasing order.\nAnswer: -5, -1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2. Let t(b) be the third derivative of -b**5\/6 + 10*b**3\/3 + 17*b**2 + 3. Give z(t(h)).\nAnswer: -300*h**4 + 1200*h**2 - 1200","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Express -1871*t - 24*t**3 + t**2 + 1871*t in the form v*t**3 + i + g*t**2 + k*t and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4)*(-16)\/(-12) + 5. Suppose z - 52 = 4*y - 18, 2*z - j*y = 88. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1610\/207)\/35)\/(28\/(-2142)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v - 753 + 6917 = 0. Calculate the greatest common divisor of v and 3082.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**2 - 5*q + 5*q + (5 - 5 + 2*q)*(0 + q + 0) - 5*q**2 + 8*q**2 + q**2 - 1.\nAnswer: 11*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7518, -15047, -22590, -30153, -37742, -45363, -53022, -60725?\nAnswer: -68478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 420241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*((1 - 2*l**2 - 1)*(0 - 2 + 0) + (5*l + 6 - 6)*(-l + l + 2*l) - l**2 + 18*l - 18*l) - l**2 + 0*l + 0*l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - f. Let z(a) = 7*a - 5*a**2 - 2 + 2 - 4*a. Let x(q) = -2*m(q) - z(q). Find the second derivative of x(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/i**(2\/21)*i)*i*i)\/(i*i**(-5)\/i*i) assuming i is positive.\nAnswer: i**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*((-2*i + i - i)*(6 + 1 - 3) + 4*i - 2*i - i).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77007994?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 205?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:31 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**6\/20 - c**5\/60 + c**4\/3 + c**3\/3 - 19*c**2. Is o(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736) - -5*(sqrt(2736) + 2) - sqrt(2736))) + sqrt(2736))**2 - sqrt(2736).\nAnswer: 708*sqrt(19) + 24724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*m - 7*w = 438*m + 83, -110*m - 4*w - 41 = -113*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h + 1745 = 24*h. What are the prime factors of h?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7632 divided by 72\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14498*w**3 - 14498*w**3 - 458*w**4)*(1 - 2 - 1)*(-3*w - 2*w + 3*w - 12).\nAnswer: -1832*w**5 - 10992*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468 and 1287.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25040, 25052, 25064, 25076, 25088?\n\"Answer: 12*l + 25028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 863.2 from 0.041.\nAnswer: -863.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*q**3 + 26*q**2 - 1187*q - 1 wrt q.\nAnswer: -84*q + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1782056 and 18301768?\nAnswer: 5288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36231 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by 6\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69.269 - -1.269. What is the closest to -1\/4 in 1, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {d: 4, l: 4, o: 9, g: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 2:11 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199482.\nAnswer: 2, 599741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 2. Let t = 21 - 9. Suppose 5*m = -5*n + t + 23, 3*n - 14 = -2*m. What are the prime factors of s(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*h + 580, 8*h - 5*h + 582 = n. Are 586 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqqxnqnqqqnqnnq. What is prob of picking 1 n and 3 q?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*s = 1, 17*z - 19 = 14*z - s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 226 - 206. What is the greatest common factor of s and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142180 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppgp when four letters picked without replacement from {g: 3, p: 8}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -5*f**2\/2 - 5*f + 88. Suppose 5*t = -0*t + 5*l - 80, -4*l = t + 21. Let q(g) = 14*g + 14. What is t*j(s) - 6*q(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}