{"text":"Question: Simplify (-6*(2*sqrt(1872) + (sqrt(260)\/sqrt(5))\/sqrt(4) - (sqrt(1573) + 4 + sqrt(468) + -4)))**2.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (29\/10 - 4\/10)*12. Find the common denominator of 65\/48 and 0 + (-452)\/z*(-5)\/(-24).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -3*a + 377. Suppose -5*w + a = 2*w. Calculate the common denominator of 43\/4 and (9\/(-33))\/(w\/(-238)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.01 - 1.01. Let m(g) = g**3 - 7*g**2 + 6*g - 1. Suppose 15 + 3 = 3*c. Let l be m(c). Is y greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -8*m - 196. Give o(-26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from {z: 1, u: 7, a: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 52786 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6606749 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-6))\/(-19*4\/(-24)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 649 = -41*h - 540 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*3*sqrt(3) + sqrt(3) + 4 + sqrt(3)*-3 + sqrt(192) + 0 + sqrt(27))*-6)**2.\nAnswer: 864*sqrt(3) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -84.39 - -84.5. Which is the third biggest value?  (a) -0.01  (b) 0.2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5777, -23026, -51773, -92018?\nAnswer: -143761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/(-8) + (-36)\/(-21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 879*s - 4847. Give d(6).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11400 is divided by 187?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.056235003 and -1.4286.\nAnswer: -1.484835003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 743 - 1594?\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*b - 19 + 8 - 25 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, e: 3}. What is prob of picking 1 e and 1 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 160 and 37152?\nAnswer: 185760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 5 + (1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 56.4557371124 and -3.1.\nAnswer: 53.3557371124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of 1\/12*v**4 - 1\/6*v**2 + 0*v + 1\/3*v**3 - 14 - 1\/5*v**5. Factor m(n).\nAnswer: -n*(n - 1)*(n + 1)*(3*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.04 and 0.16419.\nAnswer: 0.20419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-33)\/(-77)*(-8)\/(-12). Suppose 3*h = -5 - 1. Let w be 10\/(-28) - 1\/h. Which is the nearest to y?  (a) 4  (b) w  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2172359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 489393.\nAnswer: -1957572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-16)\/(-72) - (-34)\/9. Suppose m = -z*m. Let h = 3 - -2. Solve -3*c = w + 2, m*c - w - 2 = h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p**3 + 351*p**2 + 9720*p - 32400 = 0 for p.\nAnswer: -60, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oggx when four letters picked without replacement from oowwxogwooxoowgoog.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kjrp when four letters picked without replacement from pjmrqjk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 4*j - 5. Let d be a(0). Let h be (-8)\/(-12)*(-2 - d). Suppose -84 = -h*l + l. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9 + -24?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -39590000 rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -208, -25, 502, 1547, 3284, 5887, 9530, 14387?\nAnswer: 20632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 3*g - 18, -t + 3*t - 12 = -2*g. Suppose 2*v + 0*v = -g. Let p(x) = -x**2 - x + 2. Let d be p(2). Sort 5, d, v in descending order.\nAnswer: 5, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2547\/(-849) + (-1)\/(2\/34)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1583656795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 2 = 2*x - x, -4*x + 34 = -2*n. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - 3.7. Let l = 42.91 - 42.91. Which is the closest to 2?  (a) i  (b) l  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23998 + 24000. Let d = 4.8 - 0.8. Put -2\/13, u, d, -0.1 in descending order.\nAnswer: d, u, -0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 842359124?\nAnswer: 2, 210589781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of -7*i**5\/66 - 79*i**4\/132 - 6*i**3\/11 - 1792*i**2. Solve g(n) = 0.\nAnswer: -2, -9\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*p + 30*p**3 - 6*p**3 - 20*p**3 + 2*p**2 + 2*p**4 as m*p**3 + j*p**4 + l + n*p + w*p**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, 521, 0.343, 2\/15 in increasing order.\nAnswer: -5, -4, 2\/15, 0.343, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.02 - -4.02. Let s = -209 + 208.5. Let d be (8\/(-14))\/(2*1). What is the biggest value in r, d, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2*y**4 - 23*y - 5*y**2 - 19*y**3 + y**2 + 23*y + 16*y**3 to d*y + x*y**4 + r*y**2 + p + f*y**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.8 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g = -11*g + g, g + 9 = 5*p + 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 4, -1\/6, -27426\/13 in increasing order.\nAnswer: -27426\/13, -1\/6, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3752, -7392, -11032, -14672?\n\"Answer: -3640*p - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 8 - (-2 - -4)) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 16*b**2 + b. Let z be w(2). Calculate the highest common factor of 44 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -110*w + 2. Let h(u) = 320*u - 7. Determine 11*g(l) + 4*h(l).\nAnswer: 70*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2 - q + 1. Let u be n(-3). Let g(t) = -3*t - 5 - 12*t**3 + 5*t**3 - 3*t + 2*t**2. Let w be g(u). What is w rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from ooobbbb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*1\/(2\/(-20)). Let m = f - -10. Suppose m = -4*o + 5*i - 2*i + 10, -10 = -o - 3*i. Solve 3*v + 5*g = -19, 4*v = -o*g - 30 + 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 2*g + 7. Let j be (21\/2)\/g*(-2)\/18. Is j at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -151 + 16 + 3450*g + 133 to d + t*g and give t.\nAnswer: 3450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8761539 nanograms in milligrams?\nAnswer: 0.0000008761539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -20.93 - 27\nAnswer: -47.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yygmgyaayaayvym. Give prob of picking 1 y, 2 a, and 1 g.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2419*d*h**2 + 514*d + 2 with respect to h.\nAnswer: -4838*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -743707 - -248808. Let u = y - -494638.869. Let q = u + 260. Round q to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 30, 6, -131666 in descending order.\nAnswer: 30, 6, 3, -131666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(720) - 2*sqrt(720)) + sqrt(720) - (sqrt(720) + 0 + sqrt(720))*5)**2.\nAnswer: 46080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v**3 - 30*v**2 + 126*v - 98 = 0. Calculate v.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 31021828 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -170875*o**2*z**3 + 2*o**2*z**2 + o**2*z + 19140*o - 5*z**3 - 33*z wrt z.\nAnswer: -1025250*o**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the third derivative of 0 + 37*w + 1\/3*w**3 + 1\/120*w**6 + 4*w**2 - 1\/15*w**5 - 1\/2*w**4. Calculate c(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111.88 rounded to 0 dps?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c - 2*c**5 + 0*c + (4*c**2 + 0*c**2 + c**2)*(4*c**3 + 0*c**3 - 3*c**3).\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 67*b - 401. What is the thousands digit of o(34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 5 = -5*m, 5*v + 8 = 3*m + 27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 63 + 3 = p, -p - 62 = -3*v. Let f = p + 87. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11560 + 615?\nAnswer: -10642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -11770, -11257, -10744, -10231?\n\"Answer: 513*j - 12283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-12)\/(-8)*4\/(-6))\/(2\/(-214)) is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 5*m + 4. Let b be l(0). Solve -p = b*r + 14, 3*r + 6 = 2*p - 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = -2*o - 17*o. Let f(b) = -b**3 - 5*b**2 + b. Let p be f(-5). Let m be (-2)\/3*-3*-1. What is the closest to -0.1 in o, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 0 + 1)*(4*b - 2*b - 4*b + (1 - 3 + 3)*(-b + 3 - 3) - 2*b + 4 - 4) as f*b + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 2 r, and 1 b when four letters picked without replacement from {b: 2, r: 7, t: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -59 - -86. Let f = 9.122 - 9.522. Which is the smallest value?  (a) 2  (b) -3  (c) f  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -178 = -v + 29. What is the greatest common factor of 23 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 12*x - 147. Let v(m) = 38*m**2. Determine v(z(l)).\nAnswer: 5472*l**2 - 134064*l + 821142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-18)\/y)\/(y**(-29)*y) assuming y is positive.\nAnswer: y**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14410?  (a) 2\/39  (b) -1\/13  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1103212 (base 4) to base 13.\nAnswer: 2587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 2:31 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/6)*i*i*i*i\/i**5)**42 assuming i is positive.\nAnswer: i**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 5*k + 4. Let l(m) = -m**3 - 2*m**2 - 3. Let b be l(-3). Let r be 2*(2 - 3\/b). Is f(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -102*i*y**5 + 1399*i*y**4 - 2*i*y**2 + 80*i*y + 372*i wrt y?\nAnswer: -6120*i*y**2 + 33576*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + -2777ac06?\nAnswer: -2777ac02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -136*p + 24536. Give a(187).\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25058328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 0  (b) -1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -3*z**2 + 257*z + 87. Let x(a) = -5*a**2. Give m(x(c)).\nAnswer: -75*c**4 - 1285*c**2 + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of y**4\/4 - y**3\/3 - y**2 + 55*y - 2. Let t be (1 - (-36)\/(-44)) + (-2)\/11. Is s(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23484 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 17*t**2 + 13*t + 20. Let n(k) = -4*k**2 - 3*k - 5. Let g be 30\/(-14) + (-7)\/(-49). Let b(a) = g*z(a) - 9*n(a). What are the prime factors of b(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + s - 1. Let m(y) = y**3 - 8*y**2 - 4*y + 1. Let p(o) = -2*l(o) - m(o). Let t be p(-2). Calculate the highest common factor of t and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3050 and 12800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 58.01, -21\/8, -5, -0.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -208*l = 155412 - 921476. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2545337.1530601949857 - -1.1130613949857. Let y = j - -2545390.04. Let o = -54 + y. Round o to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59, -85, -111, -137, -163?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 15*z - 14*z - 20 = 0, 5*z - 70 = 5*p. Let q(w) = w**3 + 6*w**2 - 4*w - 33. What is q(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24c087 (base 14) in base 15?\nAnswer: 19e074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of -f**6\/72 + f**5\/3 + 55*f**3\/3 + 7*f**2. Let d(j) be the first derivative of z(j). Let d(w) = 0. Calculate w.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 20620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 (base 15) in base 16?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = -2*c + 167. Suppose 71*w = c*w + 110. Calculate the highest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zgg when three letters picked without replacement from rzgczgcgcz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 + 8. Let d(g) = 40*g**2 - g - 1. Let j be d(v). Suppose 0*c + 4*c = j. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5534 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 356234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5.058 and 191.5.\nAnswer: 968.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*k**3 - 96*k**2 + 180*k - 108.\nAnswer: 4*(k - 3)*(2*k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y + 0*y + y + (13 + 109 + 47)*(-2*y - 4*y + 3*y).\nAnswer: -506*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 64272?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x - 8*x + 175*x**2 + 227*x**2 + 3*x - 396*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0, -1536\/13, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) + 1 - (0 + ((sqrt(3) - (2*sqrt(3) + sqrt(3)))**2 - sqrt(3)) + sqrt(3) - sqrt(3))) + -1*(-1 + (3 + (sqrt(3) + 0 - sqrt(3)))**2).\nAnswer: -19 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12631 and 181292?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of -4*q + 4 + 0*q**2 + 0*q**3 + 0*q**4 + 4\/5*q**5. Find the first derivative of r(y) wrt y.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y - 4*y + 2*y)*((-4*y - 2*y + 4*y)*(0*y**2 + y**2 - 2*y**2) - 22*y**3 + 4*y**3 - 17*y**3).\nAnswer: -33*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 3*j**2 - 2*j - 1. Let n be i(3). Let a = -9 - n. List the prime factors of (a - (-12)\/(-1))*-1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2*x = -o - 3, 0 = -5*o - x + 15. Let y = 102 + 29. Let l = 134 - y. Calculate the highest common factor of l and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -4*j - 22. Let b be -3*7\/3*1. Let u be m(b). Suppose h - 5*k + 2*k + 14 = 0, -k + u = h. Solve -4*v - 3*n + h = 0, -5*v + 0 + 4 = n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29592 - 6587. Let d = x - 10766. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 9 + 4*r**2 + 12 - r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of (-10390)\/(-24) + (-73)\/(-876)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3122 (base 6) to base 7.\nAnswer: -2015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -405, -611, -817?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*k + 21*k + 14*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 696111785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-102)*4\/((-72)\/27)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, z: 17}. What is prob of picking 2 z and 1 w?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*z - 3*u + 23 = 64*z, 4*u - 84 = -4*z. Calculate the remainder when 84 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/138 and -17\/3597420.\nAnswer: 82740660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13799\/2828 - -9\/404. Let n = c - -32\/7. Which is greater: 1\/4 or n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -4  (b) -0.4  (c) 289  (d) -1\/10  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 840 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.6 - -0.2. Let w = 3 - -1. Let t = -16 + 16. Which is the third smallest value?  (a) u  (b) t  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -138*n + 1. What is the hundreds digit of d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1157*t**4 - 2*t**3 - 3223 with respect to t.\nAnswer: 4628*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11128597 is divided by 479?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 88451513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 3 + 0)*(-7 + 28 - 28 - 122*o) to d*o + f and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -2*r**2 - 65*r - 313. What is q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 3*w - 4*w + 1167 = 0, 3*w = 2*p - 460. Suppose -3*i + p = -313. What is the greatest common divisor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(304) - (-1 + sqrt(304) + -5)) + sqrt(304)))**2.\nAnswer: 1200*sqrt(19) + 8500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*h**2 - 11*h**2 + 3*h**2 - 4*h**2.\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 578 divided by -2.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g + 1. Suppose -2*j - 3 = 4*y - 15, -30 = 5*j - 5*y. Let c be (-1)\/(j\/8) + 0. Determine z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 768 and 10445888.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -4*p**3 - 17*p**2 - 12*p - 35. Let i(u) = -5*u**3 - 18*u**2 - 12*u - 35. Let q(b) = 5*i(b) - 6*o(b). List the prime factors of q(13).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 66\/838433 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.4  (b) 0.5  (c) -0.09  (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 434.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 7392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 21\/5 of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -324*k**3 - 5*k**2. Let r(h) = 1782*h**3 + 27*h**2. Determine -27*q(v) - 5*r(v).\nAnswer: -162*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 - 2*u**2 + 4 - 5 + 2. What is the remainder when 1 is divided by p(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32.274*-0.5\nAnswer: 16.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.02*8.4\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/476*4*-1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = 4*j - 12*s + 8, -2*j - 7 = s. Let u be j + -18*(-3 + 40\/15). Let r be (-10)\/(-6)*4\/10. Which is the nearest to r?  (a) u  (b) -2\/9  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - 4. Suppose 16 = 2*p - 2*m - 0*m, -4*m = 5*p - 4. Suppose 0 = 4*j + w + w + p, 3*w + 5 = -5*j. Sort j, r, -14 in decreasing order.\nAnswer: j, r, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**4\/11 - 2348*l**3\/11 + 52446*l**2\/11 - 212752*l\/11 + 162656\/11 = 0.\nAnswer: -1196, 1, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -7*c**2 - 9*c - 4. Let a(q) be the third derivative of q**5\/15 + q**4\/6 + q**3\/3 - 378*q**2 + q + 2. Determine 5*a(v) + 3*y(v).\nAnswer: -v**2 - 7*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:35 AM and 8:54 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.067 and 53115?\nAnswer: 56673.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -716.3 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15.66 - -19.6. Let i = 0.06 + f. Let s = 3.99995 - i. Round s to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-12)*-9 + 5\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/6 + (-2)\/6. Suppose 4*t - 2243 + 2199 = -4*r, 2*r - 3*t + 18 = 0. Solve -i + 4 = u, 0 = u - f*u - r*i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 PM and 7:31 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 2, -2, -112.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -226582, -225841, -225102, -224365, -223630?\n\"Answer: -f**2 + 744*f - 227325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -390747 or -390750?\nAnswer: -390747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s. Let x(k) = 1. Let f(h) = h - 3. Let j(p) = -2*f(p) + 2*x(p). Let a be j(3). Let t(z) = 11*z**2 - a*z**2 - 8*z**2. Give t(i(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**3 + 4 + 1 - 7 + (-4*g + 4*g + 2*g)*(-3*g**2 - 3*g**2 + 5*g**2).\nAnswer: -3*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 60896 divided by 5536?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10952 (base 12) to base 3.\nAnswer: 1010022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 PM and 11:28 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 + 38 = 5*n. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25272476 and 344?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.2 - 1.2. Let t(v) = -2*v**3 - 2 - 3 + 5*v**2 + 3*v**3 - v. Let q be t(-5). What is the closest to h in -3, q, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57263565 divided by -4?\nAnswer: 57263565\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 + 357\/12 + (-1)\/(-4). Suppose -g = i - 38. Solve -5*b + 22 = -3*k - 18, b = i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3330 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 19890 and 1989?\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 21  (b) -5  (c) -24  (d) -6  (e) 3\/158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 87293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -21\/4?  (a) 1\/3  (b) -3  (c) -1\/31  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 - -15. Suppose -4*d + 5*d - 20 = i. Let z be 48\/(-32)*d\/(-6). Which is the second smallest value?  (a) 1  (b) z  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, h: 2, w: 1, n: 1, p: 1, d: 1}. What is prob of picking 1 p, 1 n, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**4\/5 + 12*n**3\/5 + 24*n**2\/5 + 16*n\/5.\nAnswer: 2*n*(n + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/2))**(-1\/4)*(d**(-6\/5)\/d)\/d*d**(-3)\/d*d*(d**(5\/4)\/(d**(-4)*d))**27 assuming d is positive.\nAnswer: d**(4347\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from dccmmckcdo.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 + 25*x**2 - 2274*x - 143. Determine i(37).\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01263384 to four decimal places.\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {t: 14, z: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00031735 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23 - -51. Solve 0*b + 4*j = -4*b - y, 2*b - 5*j - 7 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 4*b**2 - b. Let z be i(1). Suppose -z + 1 = -k, -2*k = -w - 1. Solve -2*n**5 + 4*n**5 - w*n**2 - 7*n**4 + n - 2*n**2 + 8*n**3 + n**3 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*x - 3*t + 5, 9 = x + 2*x + 3*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**0)\/k**(2\/7))**(-8) assuming k is positive.\nAnswer: k**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 0 + 16 = 0. Suppose -14 = -2*y - g + 5, 4 = -f*g. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/(-70)*5\/(-1). Which is the second smallest value?  (a) -3  (b) 2\/5  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -179*n**4 + 329*n + 32*n**2 - 90*n**2 + 27*n**2 + 31*n**2 wrt n.\nAnswer: -2148*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 3)*1*20\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 4. Suppose q*l + 4*l = 282. List the prime factors of l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 9*z + 230 = 0. Let t = z - 38. Solve -33 = 5*h - t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1468\/934955 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r - 1. Let m(y) = 25*y + 6. Let j(w) = m(w) + 6*s(w). Let z(f) = f. What is j(z(h))?\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.3 and 6709722106?\nAnswer: 6709722106.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*r**3 + 203*r**3 - 304*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/1*((-396)\/176)\/((-9)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -1  (c) 2  (d) 485\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 + 2*i**2 - 6. Let b(f) = -2*f**3 + 5*f**2 - 12. Let a(q) = 2*b(q) - 5*x(q). What is the first derivative of a(p) wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8059188\/47 or -171471?\nAnswer: -8059188\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 44844*c*l + 404931*c - 33*l wrt l.\nAnswer: 44844*c - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y + 2*y - 3*y + (284*y + 113*y + 36*y)*(1 + 0 + 1) + 8*y + 0*y - 4*y + 5*y - 6*y + 0*y.\nAnswer: 870*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -5.04. Let s be (-30)\/6 - 185\/(20\/(-4)). Suppose -44*b - s = -12*b. What is the third smallest value in b, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/7  (b) 126  (c) 2\/9  (d) -22  (e) 193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -33*o. Let y(i) = -50*i - 28*i + 105*i - 27*i - 2*i**2 - 7. Give y(g(b)).\nAnswer: -2178*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*m - 9. Suppose b + 0 = m. Solve 0 = b*t + 9 + 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -207*(55\/(-11) - -4). Is f >= 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11167.\nAnswer: 13, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0817771 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17\/6, 0.1, 2\/9 in descending order.\nAnswer: 17\/6, 2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-52)\/(1560\/435)*-2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -135b2 (base 12) in base 15?\nAnswer: -7dee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 less than -5719970.9519?\nAnswer: -5719971.1519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - 9*u**2 - 7*u + 11. Let y be q(-8). Is 1 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -156516*9\nAnswer: -1408644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9.1 - -7.1. Let f = -7 - -11. Let q = 0.9 + -0.8. What is the nearest to 0.1 in q, f, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**0)\/b)**2*b**(2\/9)*b**2*(b**(-2\/13)\/b*b\/(((b**(-3)*b)\/b)\/b*b))\/(b**1)**(-1\/12) assuming b is positive.\nAnswer: b**(2411\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92*h**2 + 45*h**2 - 58*h**2 + 135*h**2 + 126*h**2 - 7*h**2.\nAnswer: 333*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -121776\/109 or -1118?\nAnswer: -1118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6524 - 6522. Solve -2*h + 10 = 0, -o*l + 5*h - 15 - 16 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1778, -3780, -55, -1\/4 in ascending order.\nAnswer: -3780, -1778, -55, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2cac9 (base 14) to base 11.\nAnswer: 77085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 148176510191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + 9. Let s(q) be the second derivative of 5*q**3\/6 - 3*q**2\/2 - 2*q. What is the units digit of s(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2*s**4 + 5)*(3 - 2 + 0)*(-49 + 85 - 67).\nAnswer: 62*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1588*g**2*j**2*q + g**2*j**2 + 4*g*j**2*q + 4*g*j*q + 3*g*j + 59*j**2 - 2*j*q wrt g.\nAnswer: -3176*j**2*q + 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + (-3 - -14) + 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 10*o**3 + 8*o**2 - 36*o + 9. Give v(4).\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/33 + (-164)\/(-120) + -2.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 408 and 26314476.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.49 + 0.79. Which is the closest to 0?  (a) s  (b) -2\/11  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 5*a - 4*a)*(-14*a**3 - 2*a**3 + 5*a**3) + (-3*a + 0*a + a)*(-32 + 32 - 39*a**3).\nAnswer: 67*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-901 + 0)\/(-1) - (8 - 8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1749 divided by -583\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -9503, 5, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 + -54 - (-265 - -272)) + 1 + -13?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, u: 2, v: 7, o: 2, z: 1, k: 1}. Give prob of sequence zul.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1006*m - 339*m - 332*m - 326*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 56112 and 304608?\nAnswer: 2132256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 5*x + 414. Let y = x + 84. Calculate the remainder when 64 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, u: 12, k: 5}. Give prob of sequence kuuu.\nAnswer: 275\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 314.658 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -0.1  (b) -1  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g**2 + 2*g**2 - g**2)*(9*g**2 + g**2 + 9*g**2).\nAnswer: 38*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 - -5. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58 - -87. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 12*n + 1428. Suppose n = 44*k - 10*k. Solve k*v = 5*a + 17, -11 = 3*a + a - 5*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 + 3*l**2 + 8*l - 3. Suppose 0 = j + 2 - 3. Let n be 1*((2 - j) + 4). Determine y(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6042049.\nAnswer: 13, 464773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*z + 41 = 4*y - 44 + 26, z + 0 + 1 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2159250*q = -2159496*q + 30012 for q.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -0*k + 2. Suppose -3*q + 2*q = 0. Find the second derivative of k*g + 2*g**5 - 3*g + q*g wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 11bf7 + da?\nAnswer: 11cd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2392 + 1461 = 433*d - 1343 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.19 and -65.\nAnswer: 12.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 + (39 + 54 - 34).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-12)\/8)\/(1\/5)*2. Let d(c) = -2*c**3 - 2*c**2 + 26*c + 25. Is d(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 6*f**3 - 3)*(-7 + 4 - 5)*(f + f + 0*f).\nAnswer: -96*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1956*a = 72010 - 23110 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2\/213 + 223\/1065. Sort -5, -4, y.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 - 5*y - 65. Give o(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1142704329?\nAnswer: 3, 13, 97, 379, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -56297, -112751, -169263, -225863, -282581, -339447, -396491?\n\"Answer: -5*l**3 + l**2 - 56422*l + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g + 1224 = -5*g. Differentiate 203*r**3 - 2*r**2 + 2*r**2 - g*r**3 - 69 - 27*r wrt r.\nAnswer: -3*r**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 12:14 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1424 and 38392.\nAnswer: 6833776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -3*o**3 + 186*o**2 - 1344*o + 2592 = 0.\nAnswer: 4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17.2 - 145.2. Let r = 126 + o. Let q = 0 + -1. Which is the nearest to -0.1?  (a) r  (b) q  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7274 divided by -7274\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 - 5*j**2 - 5*j - 3. Determine c(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4737*v - 4737*v + 36*v**3)*(5*v - 2*v - v)*(-16*v - v + v + 1).\nAnswer: -1152*v**5 + 72*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -934790 - 336408 - 1039139 = 21653*c - 166690 for c.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -20. What is the lowest common multiple of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 85*((-1)\/3*(-48)\/(-360)*45)\/(-5)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 (base 6) in base 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 18, p: 2}. What is prob of sequence xxx?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 1:01 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -474 + 2874. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-748592)\/(-936) - (-3)\/(-9)*(-2)\/3. Which is smaller: 799 or j?\nAnswer: 799","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 481*h**2 + 2634*h - 572086. Determine v(484).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 107490 = 3*s, 0 = 2*s + 2*p - 44672 - 26988. Suppose -20*z + 48610 = -s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 56, 167, 292, 437, 608?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4346518 and 6160?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 11346 = 2910. Let i = 1402 + t. Let m = 16 - 31\/2. Which is the closest to m?  (a) i  (b) -2  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 65 and 4693.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, m: 5, n: 2}. What is prob of sequence wm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(1\/20)*v**(-15)*v*v assuming v is positive.\nAnswer: v**(-259\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 5. Suppose c*z + 148 = 448. What is z rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1559320726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24620002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 + (6 - (-14 + 12 + -12) - 8) + -3.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 338 a factor of 18393960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -5*g**3 - 4*g**2 - 7*g. Is m(-3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i + 2. Let o be s(-4). Let p = -9\/887 - 91163\/19514. Calculate the common denominator of o\/(-3) + (-94)\/132 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 987276 is divided by 138.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.4 - 0.2. Let k = 6 + -4. Let q = -50766 - -50763. Which is the closest to n?  (a) q  (b) k  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 702 is divided by 351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -137 - -57. Let t be (g\/50)\/(4\/(-10)). Suppose -t*q + 21 = -135. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**3 - o**3 + 2*o**3 + (-4*o + o + 2*o)*(13*o + 9*o + 20*o)*(-o + o + o).\nAnswer: -43*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ckhnnhhnnc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*w + 0*w = 504. Calculate the least common multiple of 30 and w.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2656158 (base 9) in base 10?\nAnswer: -1454489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5.71554 - 5.7. Round h to 4 decimal places.\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 + 6*t**2 + 581*t + 5321. Let p be i(-9). What is the second biggest value in 4, p, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uud when three letters picked without replacement from {u: 5, d: 12, r: 1}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 240608 and 74168.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 12 = w, -2*w - 2 = -2*a - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 38 - 32. Let j(n) = -n**3 + 5*n**2 + 5*n + 6. Let k be j(t). Solve k = 3*h + 3*q - 6, -14 = 3*h - q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 59*p**2 + 185*p + 9. What are the prime factors of i(-6)?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 1 + -15 + (-14 - -21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -11*w**2 - 3367*w + 6751. Calculate x(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/5?  (a) 2\/3  (b) -2\/7  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 + 13*b**2 + 11*b - 9. Let f be x(-12). Suppose -2*s - 36 = -v, -4*v + v = f*s - 108. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 - (17303\/(-66))\/11 - (12 - 4)*1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 + (0 - 3 - -5). Suppose h*z - 8*z - 172 = 0. Let w be -3*(3 + z\/30). Which is the closest to 2\/7?  (a) 0  (b) w  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -53 + 143. Suppose 5*z = 6*z - m. What is the highest common divisor of z and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 744271*a - 744271*a - 8*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -1 + l**2 + 1. Let u(a) = -32*a + 8. Let f(p) = -6*p + 2. Let s(q) = 4*f(q) - u(q). Calculate r(s(z)).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x**3 + 7624010*x**2 - 7624010*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 24 = -4*s, 320*s - 323*s - y + 13 = 0. Let z be (-52)\/(-5)*3\/(-18). Let x = 12\/5 + z. What is the smallest value in s, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -23*m + 104. Factor -25\/3*q**2 - 1\/3*q**5 - 16\/3*q - 19\/3*q**3 - 7\/3*q**m - 4\/3.\nAnswer: -(q + 1)**3*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -110015, -110009, -109999, -109985, -109967, -109945, -109919?\n\"Answer: 2*q**2 - 110017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-3) + (-234)\/27. What is the units digit of (26\/k)\/((-1)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 4 = 8. Let b = 610 + -606. Suppose b*v - 324 = -23*v. Solve -j*a - 2*g + v = -2*a, 0 = -2*a - 4*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 14*g**2 + 4*g + 46. What is the tens digit of y(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 23162?  (a) 0  (b) 30  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 170\/11, -4\/311, -0.1, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 49415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*m**2 - 4*m**2 - m**2 - 75*m**2 to the form f + x*m**2 + n*m and give x.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {p: 1, a: 1, h: 2, v: 5}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 6662 (base 8) to base 7\nAnswer: 13136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = 6, 3*n - 5*w = 4*n - 7 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 294 + 10*f**2 - 152 - 166.\nAnswer: 10*f**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 23. Let b be 864\/(-88) - 2\/u. Let x be ((-4)\/(-8))\/(5\/b). Sort 1, 7, x in increasing order.\nAnswer: x, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 129 divide 21285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (37700\/(-3016))\/(5\/24).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 12 = 0, 5*q - 4 = q - 4*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 24.1\nAnswer: 2.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*o + 11*o - 43*o.\nAnswer: -46*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -13 - ((1 - (-19 - -122)) + -1 + 1)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-10)\/f)**3*(f\/(f*f*f**(3\/7)*f))**(-4\/17) assuming f is positive.\nAnswer: f**(-227\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 251673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 5 - (0 + -3 + 14)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16061 is divided by 2279.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 173831 or 173829?\nAnswer: 173829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -785, -787, -789?\n\"Answer: -2*p - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/(-15)*(-5)\/2. Suppose -h*u + 6*u - 9 = 0. Suppose 0 = -2*z + 5*w - 9, -w + 0 = u*z - 29. What is the remainder when 22 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 + 0.32964325831.\nAnswer: -0.67035674169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.9 and 47.8?\nAnswer: -138.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*b**2*y**2 + 22*b**2*y + 162*b**2 + 2*b*y - b - 204*y**2 - 5 wrt b.\nAnswer: 6*y**2 + 44*y + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4524*p**2 - 26*p + 5003*p**2 + 14*p + 12*p.\nAnswer: 9527*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 0*k + 5*k + 5*k + 0*k**2 + 13 - k**2. Is b(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 77 - 144. Let r = 67.31 + g. Let l = r + -0.01. Is 2 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.9 less than -99152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 120 = 5*w - w, 111 = -4*f + 5*w. Let n(o) = o - 6. Let s be n(3). Calculate the remainder when 28 is divided by s\/(-9) + f\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k - 2*k - 105*k**2 + 0*k.\nAnswer: -105*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2736)*-1 + sqrt(2736) + sqrt(2736))*-5)**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 84 = -100. Let c(n) = -9*n + 2. Let v be c(-3). Let g = v - u. What is the remainder when 98 is divided by g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1, 4, 9, 14, 19?\n\"Answer: 5*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - -3122122?\nAnswer: 3122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48876*o - 48932*o + 5 + 2*o**2 + 97890*o.\nAnswer: 2*o**2 + 82*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 79 = -32. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1683 times -491\nAnswer: -82.6353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 131, -2.\nAnswer: -2, 4, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -j + 1. Let s = 5 - j. Are -2 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*g + 22*g + 78*p = -37*p + 65, 5*p - p - 68 = g for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (5 - 8 - (1 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12472*z**4 - z**3 + 60883*z wrt z.\nAnswer: 149664*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k**3 + 6*k**2 + k**3 - 7*k**2 + (-k + 0*k + 0*k)*(2*k**2 - 2*k + 2*k).\nAnswer: -k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -7*r**3 - 5*r**2 + 2. Let g(t) = -6*t**3 - 4*t**2 - t + 2. Give -3*g(z) + 2*w(z).\nAnswer: 4*z**3 + 2*z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 758 and -6.51?\nAnswer: -4934.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(147) + 3).\nAnswer: -28*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28 + (-29400)\/1029 - (-318)\/(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 595732762379.9200065 - 595732886872. Let t = d + 124510.08. Let s = t + -18. Round s to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1\/2, -2, -96 in decreasing order.\nAnswer: 2, -1\/2, -2, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-17)\/(-5) - (-6)\/(-15). Suppose l - 5*m - 1 = 0, -2 = -5*l - 4*m + p. Suppose -4*f + 21 = l. Solve f*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -166487, -332976, -499465?\n\"Answer: -166489*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 147 + -219. Does 12 divide (-48)\/h*(-123)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 - -5. Let c = -5 + 110. Suppose -j = 4*j - c. Solve a = 3*i + 3*l + j, -l + 13 = 4*i - 7*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 3 - 3 = 3*t, -3*i + 4*t + 25 = 0. Solve 0 = -i*z + 12 - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 648 divided by -81\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 987?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3397*3\nAnswer: -10191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14 - -22. What is the highest common divisor of 128 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 5, c: 3, d: 2}. Give prob of picking 1 c, 1 d, and 1 t.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 w when three letters picked without replacement from {g: 4, h: 1, w: 2, b: 8}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -3*t - 5. Let h(x) = -9*x - 14. Let i(w) = 3*w - 31. Let u be i(17). Suppose -u = 3*m + 2*m. Calculate m*h(f) + 11*q(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -10  (b) -58  (c) 813\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(30) - sqrt(90)\/(sqrt(18)\/sqrt(6))) + 1*sqrt(270))\/(1*sqrt(6)*1 + sqrt(96) + sqrt(96) + (sqrt(96) + -2*sqrt(96) - sqrt(96))))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 463*o - 3239. What is c(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 - -2*6*2. Which is smaller: 19 or w?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4325 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*c + 55*c = 4*s + 15, c = -s - 6. Let d(a) = -a**2 + 1. Let m(q) = -3*q**2 - q + 7. Determine c*m(y) + 6*d(y).\nAnswer: -3*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 905*o - 327*o + 1243 - 488 = 427*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 3*g, 5*x = 5*g + 9 - 59. Solve -g*j = v + 29, -3*j + 3 + 2 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1132762217?\nAnswer: 97, 11677961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 - 27. Sort 3, -4, 2, u in decreasing order.\nAnswer: 3, 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-31))**46*(o**(-37)\/o)\/((o**(7\/8)*o)\/o) assuming o is positive.\nAnswer: o**(-11719\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1143*q**4*t + 8*q**2*t + q*t - 39*q + 2*t - 8 wrt q?\nAnswer: -13716*q**2*t + 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 15*l**2 + 146*l + 20. Determine t(-11).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 200920 and 150690.\nAnswer: 602760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -329.0342 + 329. Let u = 0.2328 - p. What is u rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 - 3*a**2 + a + 2. Let k be b(-3). Let m be 3*2\/((-2)\/1). Let v be (m\/(-6))\/(k\/(-10)). Sort -1, v, -5.\nAnswer: -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is d - -32d74?\nAnswer: 32d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*m + 132*m - 1589 = -9 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + 32\/(-20)*(-6 + 26). Let m(o) = o**3 + 30*o**2 - 10*o - 71. What are the prime factors of m(n)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41969507?\nAnswer: 37, 1134311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 21*r + 26. Let a be g(20). Is 1\/a*3*3506 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -321, -748, -1253, -1830, -2473?\n\"Answer: n**3 - 45*n**2 - 299*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 4*y + 305. Suppose 2*k + 864 = -22*k. Is 7 a factor of m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes before 9:59 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -190109\/9 less than -21122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/60*21\/7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -160 + 160. Let n = 2.11 - 2.11. What is the closest to n in -2\/9, 4, -6\/11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 + 7*u + 4. Let t(p) = 2*p**2 - 13*p - 8. Let x(w) = -5*w + 5. Let s be x(2). Let r(c) = s*g(c) - 3*t(c). Let d(b) = b + 1. Give -4*d(a) + r(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**14\/(x\/((x*x**(1\/6))\/x)) assuming x is positive.\nAnswer: x**(79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, k: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -100210 (base 3) in base 5?\nAnswer: -2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 14 + 430216?\nAnswer: 430233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 112333 - 3?\nAnswer: 112330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, -4, -18, -2 in decreasing order.\nAnswer: 5, 0, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 736405987.\nAnswer: 223, 3302269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18 - -18. Let v = 2 + 0. Is r less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -982*u**2 + 3882*u**2 - 1433*u**2 - 1466*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, s: 1, a: 3}. What is prob of picking 1 a and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1031 = 4*i + t, i + 2*i - 5*t = 756. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*s + 27*s + 701 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = x - 0*x + 4, 5*x - 4*p = 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 189*h - 171. Let v be t(2). What is the highest common factor of v and 552?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 137 - 137.2. Let r(y) = -2*y**2 + 52*y - 55. Let z be r(25). What is the smallest value in o, 0.3, z, 36?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1043.56 - 6.44. Let x = 1045.39 + y. Round x to 1 dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vfvvyxyxxvqp. What is prob of sequence yx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 97980 rounded to the nearest 1000?\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 329*a. Let o(u) = -2*u. Give p(o(h)).\nAnswer: -658*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4801055 or 4801049?\nAnswer: 4801049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 4000 = 5*y, -2*y - 2*v + 328 = -1270. What is the greatest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - -40221312332?\nAnswer: 40221312331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**1\/q*q*q**(2\/23)*(q**(-1\/3)\/q)\/(q*q*q**2) assuming q is positive.\nAnswer: q**(-293\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in 4, 108, -2\/7, -0.4, 248?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**3\/7 + 2*z**2.\nAnswer: 2*z**2*(z + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -6740 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*k = -y - 862, 6*k - 460 = -19*y + 17*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -6463718.6 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -15\/4. Let t = 1 - 4. Let v = 0.413 - 0.113. What is the closest to 0 in v, m, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + -28. Let r be (-535)\/h - 2\/7. Suppose r + 133 = 4*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -137, -406, -841, -1442, -2209, -3142?\n\"Answer: -83*g**2 - 20*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 22877357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23968 and 69664.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n. Let u(l) = -86 + l**2 + 83 + 5*l**2. Let z(y) = y - 11*y**2 - y + 5. Let d(m) = 5*u(m) + 3*z(m). Calculate i(d(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 287868 divided by 124?\nAnswer: 71967\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -44624736 divided by 39\nAnswer: -1144224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z**2 + 11. Let q(c) = -125*c**2. Determine q(i(k)).\nAnswer: -500*k**4 + 5500*k**2 - 15125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 362*g**2 + g + 6. Let t be o(-2). Let l be t\/(-22)*2\/(-4). What is the units digit of (1 + l)\/(2 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from udewweeuubdeuej. What is prob of sequence ujb?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 171456*c**2*g**4 - 2527*c**2*g + 13*g**4 - 817*g**2 wrt g?\nAnswer: 4114944*c**2*g + 312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 + 8 = 6*c. Let r(f) = -f**2 - 7*f + 2. Let n be r(c). Differentiate -4*y**2 + 12*y**3 + 4*y**n - 10 - 4 with respect to y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1217 - -0.3417. Which is smaller: c or 9\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3765187 or -8?\nAnswer: 3765187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -6*o**3 + 132*o**2 - 646*o + 137. Determine k(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001 minus 0.026?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 7361, 14710, 22059, 29408?\n\"Answer: 7349*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -10*r**4 - 14*r**3\/3 - 3245*r**2 - 7000. Find the second derivative of m(c) wrt c.\nAnswer: -240*c - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -120*x**2 + 65. Let b(y) = 11*y**2 - 6. Let u(w) = 65*b(w) + 6*s(w). Let r(j) be the third derivative of -j**4\/12 + j**2. What is r(u(m))?\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 4845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 37, -14, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8640\/(-285))\/(-18) - 2?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -4 + 4 - g - 2. Let i be n(-6). Suppose -j = i - 11. What is the remainder when j is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1748545314 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is n in n**3 - 347920*n**2 + 30260689872*n + 242107786368 = 0?\nAnswer: -8, 173964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -597 - -629. Let a = -16 - -14. Sort a, 3, h.\nAnswer: a, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 387 + -386. What is the thousands digit of 6\/s*-1 - (-1873 - -22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - 2. Let o(a) = -a**2 + 4*a**c - 4*a**2. Let z(j) be the first derivative of 3*j**2\/2 + 14. Give o(z(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -91 (base 15) to base 8\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-1 - (-6 - -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 789 + -784. What is the closest to 2\/3 in -2, h, 2\/15, -10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 4*i + 7 + 8 = 0, i + 5 = 0. Solve h - 18 = -4*k, 0 = -2*k + 2*h + w + 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/4037  (b) 1\/2  (c) -0.0409  (d) -2\/9  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiuj when four letters picked without replacement from {i: 2, u: 7, j: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - 11110111110011101100010?\nAnswer: -11110111110011101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -16344 divided by 2043?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18309.\nAnswer: 3, 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-14)\/(-8) + (-5)\/(-20). Let v = -6.4 - -6. What is the second smallest value in -5, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuwv when four letters picked without replacement from vuuwwufuvoummfmfmuuf?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -145*l - 1174. Calculate w(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j - 28. Let p be z(10). Does 19 divide ((-420)\/p)\/(2*4\/84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -138 + 174. What is the least common multiple of (-284)\/(-18) + 4\/18 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8158888 a multiple of 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 36*i - 4990. Let v be c(139). Let j(p) = p**3 - 14*p**2 - 25. Calculate j(v).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-6))\/((-13)\/(234\/12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4012\/(-435302)*((-2)\/5)\/((-4)\/(-35))?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**3 + 5*z**2.\nAnswer: -5*z**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1, 1\/8, 0.04, 237?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168*k + 17*k + 46*k - 3975 = 5496 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(85*k - 223 + 223).\nAnswer: 170*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, -2, -12, -4 in increasing order.\nAnswer: -12, -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + 6. What is the remainder when 54 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -143 + 1?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - g)*(-4*g**2 + 4*g**2 + 2*g**3) + 12*g**3 + 12*g**4 - 12*g**3.\nAnswer: 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7173?  (a) 14  (b) 1  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*n - 10*n - 7*m + 0*m + 34 = 0, -2*m - 5 = 4*n + 63 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((2\/(-1))\/1)\/11. Let m = 0.2 + 0.8. Let n = -2 - m. Which is the third smallest value?  (a) h  (b) 4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 22 in 1, -0.2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19344)\/1209*-2*(-21)\/(-48)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + h - 15 = -4*h, 0 = 5*h + 15. Put -3, j, 14, 1 in decreasing order.\nAnswer: 14, j, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**2 - 9*t + 8. Suppose -u = -6 - 2. Let v be m(u). Let j = 7 - 3. Solve -o - j + 7 = v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 34. Calculate the lowest common multiple of (-3)\/(z\/(-34)) - 21\/(-35) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 PM and 1:11 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3847898 millilitres to litres.\nAnswer: 0.0003847898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -10, 1 in increasing order.\nAnswer: -10, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 6, j: 2, f: 1, g: 3}. Give prob of sequence gf.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/((v\/v**(4\/3))\/v)*v)\/(v**(-8)*v) assuming v is positive.\nAnswer: v**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 119\/(-2380)*4\/((-8)\/15)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1760329 plus 0.74?\nAnswer: -1760328.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -78 divided by -26.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4 - (1\/1 + 5). Let u be (c*(-1)\/4)\/(2\/(-60)). Let m = -54 - u. What is the remainder when 79 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 408 or 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 4, -963 in decreasing order.\nAnswer: 5, 4, -4, -963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -2*f**5 - 8342850*f**4 + 83428634*f**3 - 275314630*f**2 + 333714768*f - 133485920 = 0.\nAnswer: -4171435, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 298337 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s - 4 - 3 + 6)*(2 - 2 - 2*s).\nAnswer: -6*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -493 + 494. Put u, 0, 232 in ascending order.\nAnswer: 0, u, 232","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100100110101 - -10?\nAnswer: -100100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, n: 2}. What is prob of sequence nn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 5*y = 3*p - 11, 1 = y. Suppose -3*o + p*g = -8, -g + 20 = -2*o - 6*g. Let b be 3\/4 - 18\/(-8). Solve -a = -b*t - t + 14, o = -t + a + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1074 is divided by 497.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 170\/136 - (2 + -1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-6))\/((-8)\/120).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*s + 4*p + 5, -4*s + 7*p = 4*p - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 89958 and 4680918?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ahhaoeaqhhohheq. What is prob of sequence hq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - c = -92 + 76, -4*c = -4*z - 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204 = -376*a + 410*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44218556*d**2 + 61 + 44218613*d**2 - 61.\nAnswer: 57*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200*b = 351*b - 30632294. Calculate the greatest common factor of b and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -4 + -12 + 5 - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 + 17. Suppose 0 = -4*p + x*l - 0*l + 32, -2*p + 20 = -3*l. Suppose -32 = p*j - 8*j. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(252)*-3)\/(sqrt(4) - (sqrt(196)*-5 + sqrt(4))))**2.\nAnswer: 81\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 5 = -5*d, -2*d + 5*d + c - 17 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*k**3 + 820*k**2 - 1011*k + 306 = 0 for k.\nAnswer: -34, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(2) - (5 + sqrt(4)\/sqrt(2)))*1 + -1*sqrt(10)\/(sqrt(5) + (sqrt(125)*5 - sqrt(5))))**2.\nAnswer: 8*sqrt(2)\/5 + 250002\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9518 = -280*x + 5318 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 12782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 5*h = 2*w - 12, 7 = -3*w + 2*h. Let k(t) be the third derivative of -t**5\/10 - t**4\/24 + 3*t**2. Determine k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -5  (c) 9\/13  (d) 21689\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 31.9 - 32. What is the nearest to -5 in 4, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l = -9*l + 176. Suppose 35 = i - l*i. Sort -20, 5, i in decreasing order.\nAnswer: 5, i, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 429 and 116688?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2657*v + 2778*v - 6577*v - 4585*v to the form i*v + f and give i.\nAnswer: -11041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1738369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 3*q - 1 = 2*j, 0 = -j - 4*q + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -111*r**2 + 173*r**2 - 66*r**2 - 322*r**2 - 591*r**2. Let u(d) = 2*d. Calculate u(a(i)).\nAnswer: -1834*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23\/69 - 1246\/(-6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -8*v**2\/5 - 22244894*v - 83418348\/5 = 0.\nAnswer: -13903058, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5*i + 2*i - 3)*(-12 + 2 + 1).\nAnswer: 27*i - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 - 14*f**2 + 23*f + 15. Let r be j(12). Suppose -2*g + r*g = -n + 152, 5*g - 760 = -4*n. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5504 - 29998 = -1867*c + 46452 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 239 = 5*k + 2*p + 25, -4*p = 12. Let a be ((-12)\/(-15))\/((-46)\/(-1265)). Calculate the greatest common divisor of a and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3*(0 + (-2)\/(-3)). Let w = 5 + -8. Which is the nearest to o?  (a) w  (b) -4  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -58*f + 306. What is s(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1946 divided by -204.\nAnswer: -973\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, -2, 23, -0.03 in ascending order.\nAnswer: -5, -2, -0.03, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ycnt when four letters picked without replacement from {n: 1, g: 11, t: 1, z: 1, y: 2, c: 3}.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 - 3*l. Let j be f(3). Suppose -3*v - 54 + 255 = j. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 73863*k**2*o**3 + k**2*o**2 - k**2*o + 5*k*o**4 - k*o**3 + 978*o**2 - 4 wrt o.\nAnswer: 443178*k**2 + 120*k*o - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*k**4 + 180836*k**3 - 1934*k**2 + 211*k wrt k?\nAnswer: -72*k + 1085016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and -3484.964.\nAnswer: -3484.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -2\/7  (c) -0.06  (d) 13  (e) -9  (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.227884483 rounded to three decimal places?\nAnswer: 5.228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*w**4 + 108*w**2 + 750*w wrt w.\nAnswer: -36*w**2 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1743*b**2 - 1426?\nAnswer: -3486*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooofoooofooofooo. What is prob of picking 3 f and 1 o?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -25*h**3 + 4374 + 82*h**3 + 1863*h + 13*h**3 - 2343*h**2 + 11*h**3 + 84*h**3 - 3*h**4 = 0.\nAnswer: -1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-33976)\/(-3) - (774\/54 + -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 6354, 6218, 5986, 5664, 5258?\n\"Answer: s**3 - 54*s**2 + 19*s + 6388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/30)\/(24\/15). Which is the closest to d?  (a) -4  (b) 4  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 178 + -204. Which is bigger: -27 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 3:38 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 6 = 0, -13*u - 3*s + 1086 = -12*u. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (180\/8 + 4)\/((-1)\/(-6)). Suppose 0 = 5*u - 3*b - 560, -3*u - x + 495 = b. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 1 = -304*o + 292*o, 0 = -4*p - 3*o + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.6 less than -17.4?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*t = 451 + 541. What is the remainder when 188 is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/29 or -2696?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d - 2. Calculate x(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, r: 3, f: 6, q: 4, t: 2}. What is prob of picking 2 f and 1 t?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1179 + 1113 = 22*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 54, 39, 22, 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/16 and 71\/256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1694688 and 912?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 185156 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*c + 116*c = 17748. What are the prime factors of c?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*g**5 - 956*g**4 - 60252*g**3 - 361028*g**2 + 906656*g - 484416 = 0. What is g?\nAnswer: -116, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*o - 5541300 - 1517697 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40 + -37. Suppose 324 = m*t + 3*t. Suppose -12*r = -t - 6. Solve r*i + 1 + 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8618062 (base 10) to base 15.\nAnswer: b53777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 + 14*r - 83. Let i(p) = -p**2 + 11*p - 83. Let g(k) = 3*b(k) - 2*i(k). Let s be g(12). Solve -2*u = 4*j - u + s, -8 = 4*j - 4*u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.12699 to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -16802*c. Let s(x) = -801*x. Calculate k(s(z)).\nAnswer: 13458402*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l - 449. Let u(m) = 5*m - 2672. Let k(z) = -6*d(z) + u(z). Determine k(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 3*v + 18 = 0, 3 = -3*y + v + 41. Suppose a + 3*a + 4 = 0. Let g = y - a. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 - 48 = -5*j. Let l(y) = -12*y + 36*y - 25*y - 8*y**j. Let o = 4 + -3. Calculate l(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*c = -461 - 491. What is the greatest common divisor of c and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/9 or 1660?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 + -332.8. Let z = 333.157 + n. Is -0.1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 4*c + 3*d, 21 = c - 5*d + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3412 times -0.5\nAnswer: -1706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of -l**2 + 2*l - 1. What is the remainder when ((-3)\/6)\/(2\/(-88)) is divided by p(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b - 2. Let q be d(3). Suppose 4 + 9 = l + 5*s, 0 = -l + 3*s - 3. Let a(p) = p**l + 1081 - 1081 - 2*p**2 + p. Calculate a(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -k**3\/3 - 223. Let s(c) be the first derivative of -2*c**3\/3 + 2. Give l(s(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1b - -14a?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 434?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j - 138*j**3 - 21*j**3 - 2*j.\nAnswer: -159*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -521 + -242?\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 57685.26 decades?\nAnswer: 6922231.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 4. Let c be -6 + (-2 + d - 0). Let y(u) = -31*u + 6. Let x be y(0). Sort x, 5, c in descending order.\nAnswer: x, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1141 - -1145. Let p(w) = -4*w**2 + 5*w + 1. Let d(c) = -c**2 + c. Let a(t) = 3*d(t) - p(t). Calculate a(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -932183.1 rounded to the nearest one thousand?\nAnswer: -932000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**4 + 9 - 19 - 12 + (3*l**2 - 2*l**3 - 3*l**2)*(0 + 0 - l).\nAnswer: l**4 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 4 + -8 + 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 80 - 79. Is 3 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -54*k + 13*k - 11*k + (-4*k + 4*k - k)*(-5 + 4 + 2)*(-2 - 10 + 8) to o + m*k and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -126811 + 7?\nAnswer: -126803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*p**5*r + 4706*p**2*r**2 + 27*p - 729*r**2 wrt p?\nAnswer: 40*p**3*r + 9412*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/((-28)\/6) + (-1254)\/(-819) and 137\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.06 and -155.\nAnswer: -154.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 21, -4*b = 6*i - 5*i - 13505. Is 114 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 520773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-81)*24\/16\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 833849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r. Let o(q) be the second derivative of -2*q**3\/3 - 5*q + 1. Determine o(i(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tntu when four letters picked without replacement from {t: 3, u: 6, n: 4}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - 138481?\nAnswer: -138483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 354*l + 552*l - 169*l - 35376 for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -a + 4*a - 2*a + (-2 - 3 + 6)*(0*a + 2*a + 0*a) - 14*a - 3 + 3 - 3 + 3 - 3*a + (0*a + 5*a + 3*a)*(3 + 1 - 5) in the form k + v*a and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 191*f + 46024. What is x(-241)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17734777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 9:57 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14470103 is divided by 1416?\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*b + 22*b - 3*s = 10*b + 28, 3*s - 12 = 0 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -10*h**3 + 3*h**2 - 3*h + 1. Let j be g(1). Let q be 3\/j*1*-15. Suppose k + x - 6*x = 267, q*k - 1200 = -2*x. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 20\/35 + (-10)\/(-7). Factor 3 - 2*s**2 + 8*s**k + 1 - 6*s - 4*s**2.\nAnswer: 2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*q**3 - 2*q**3 + 17*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -179 + 11*o**2 - 10*o**2 + 2*o**2 + o - 5*o**2 + 10*o**2 to x*o + c + l*o**2 and give c.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 585 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 217.901 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, t: 2, p: 8, w: 1}. What is prob of sequence tp?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = -5*u + 5*k - 9, 3*k = 5*u - 32. Factor -u*j + 2*j**2 + 2*j**4 - 2*j**2 - 11*j**2 + 5*j**2.\nAnswer: 2*j*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6841, -4, 21 in descending order.\nAnswer: 21, -4, -6841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -42477*z**6 - 119*z**2 - 159*z wrt z.\nAnswer: -5097240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 271 divided by -805?\nAnswer: -271\/805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*c - 9*c + 4 - 2 - 19*c + 2.\nAnswer: -19*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/(-25)*(-1 + 123). Let x = i + 49. Suppose 1\/5 - 1\/5*b - 1\/5*b**2 + x*b**3 = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 75 + 96. Suppose 3*u = -0*m - m + 159, 3*u - g = 3*m. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -37*o - 308. Let r(j) = 13*j + 100. Determine -17*r(s) - 6*t(s).\nAnswer: s + 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -2565.\nAnswer: -1\/2565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbnh. What is prob of picking 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12890, -12732, -12576, -12422, -12270?\nAnswer: -12120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -2. Let s = 48.6 + -5.7. Let v = s - 43.9. Sort b, v, -2\/9 in descending order.\nAnswer: -2\/9, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*u + 36 = -14 + 4. Solve 4*d - 11 + u = r, -3*r = d + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4491 - 43. What are the prime factors of q?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 62205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2 - 0.2. Let y = 1377 - 1377.0597. Let m = y + -51.9403. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -4*v + 1248. Suppose 37 = w - v. Suppose 0*n - 2*n = r - 383, -n - 2*r = -w. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n**3 - 4*n**3 - 3*n**3)*(3 + 1 - 5)*(-2*n + n + 3*n).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122*q**3 + 7 + 1403*q**3 + 4 + 6 - 17.\nAnswer: 1281*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4*(65\/30 - 2). What is the nearest to 4 in 2, z, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 73521 = 2*i - 94595, j - 5*i = 84052. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 25.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 71717 divided by 12\nAnswer: 71717\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cvccvcccccccvcvcccc. What is prob of picking 4 c?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4236758 divided by 151.\nAnswer: 28058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-3*(-1)\/(-12)). Suppose -l*x = -14*x. Let k be -4 + 5 - (-7)\/(-5). Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9.54 + -9.44. Let o = 9 + -21\/2. What is the second smallest value in -0.3, o, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((x*(x\/x**(-3\/19)*x)\/x*x)\/x*x)\/x*x)\/(x\/x**(-15\/2)))**13)**24)**(-20) assuming x is positive.\nAnswer: x**(633360\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1843110*t**4 - 946*t**2 + 1286.\nAnswer: -44234640*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-10)*1020\/72*3*2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*d + 124*d = 439*d + 427*d + 31856 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.3 - 2.1. Let m = t + 3. What is the nearest to -2\/3 in m, -2, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 488580 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-50)\/(-4)*(-3)\/((-45)\/(-42)). What is the second smallest value in h, -3\/5, -0.05, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -3*p + 5*k, 4*p - 11 - 11 = -2*k. Suppose -d - 1 = -p. Suppose 35 - 233 = -d*v. What is the greatest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 5*g + 2 = 0, -4*g + 14 = 5*x - 6*g. Suppose x = -17*z + 18*z. Solve 3*j - 21 = 6*h - 2*h, -3 = -h - z*j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 432*u*x + 85101*u - 4*x**2 - 27554*x + 2015 wrt x.\nAnswer: 432*u - 8*x - 27554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, 2, -1\/8, -3, 598\/81 in descending order.\nAnswer: 598\/81, 2, -1\/8, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*(-9)\/(-12)*2. Suppose 2*o - u*o + 1 = 0. What is the least common multiple of (-46)\/(-8) + (-2)\/(-8) and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 + 0 = -5*g. Solve 0 = 3*n - g*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -78*h + 850. Give d(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y - 20 = -14 + 66 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - -9) + 0 + 1 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 5*v + 36 = -9*v, 30 = 4*b - 3*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52 + 52 + 31*y**3.\nAnswer: 31*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 + 1. Let z(j) = 3*j**2 - 2*j - 6. Let r be 7 + -3 - 3\/1. What is r*z(b) + 4*a(b)?\nAnswer: -b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(209) + 2*sqrt(209)*-6 + sqrt(209)))\/(sqrt(110)\/((-2*sqrt(30))\/sqrt(3))).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*l + 5. What is the remainder when 42 is divided by (-5)\/(l*2\/(-6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of -5*f**4\/12 + 55*f**3\/6 - 70*f**2 - 237*f. Factor j(p).\nAnswer: -5*(p - 7)*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -347*y + 7 - 13 - 28*y**3 + 6 + 339*y.\nAnswer: -28*y**3 - 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 30888 - 17735. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - -50 - (61 + -20).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, 678, 2523, 6116, 12039, 20874, 33203, 49608?\nAnswer: 70671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -140\/11, 2\/9, 94.5, 0.1, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = s - 3*k, -2*s - 3*k + 59 = 4. Suppose h - 94 = -h. Let i = h - s. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2 + 3030*o + 316231.\nAnswer: -(o - 3131)*(o + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1282172 less than -718032.9?\nAnswer: 564139.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 88*i - 2. Suppose -26*r + 67 = -12*r + 53*r. Calculate v(r).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-seven halves of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.02283 - -0.0359. What is k rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of 0*s**5 + 0*s**6 + 0*s - 1 + 0*s**2 + 0*s**4 - s**3 - 3\/7*s**7. What is the third derivative of t(i) wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0494189 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1258 + 2128. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-6))\/(12\/(-144))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 49191067 and 1041?\nAnswer: 147573201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -143183, -286366, -429549, -572732, -715915, -859098?\n\"Answer: -143183*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lda when three letters picked without replacement from yalaaalldd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 662376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.34 - 0.24. Which is the closest to d?  (a) -0.5  (b) 1\/12  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h**5 + 17495*h**4 - 226870*h**3 + 976480*h**2 - 1394400*h = 0. What is h?\nAnswer: 0, 4, 5, 3486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(76) + (sqrt(76) - (sqrt(76) + 0 + sqrt(76)))))**2 - (0 + sqrt(76))*-6 - (sqrt(76) + (-1 + sqrt(76))**2 + -4 - (sqrt(76) - sqrt(76)*2)**2*-2).\nAnswer: -225 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/2580 and 73\/4008.\nAnswer: 861720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = 2*w - 45, -w + 35*j = 37*j - 11 - 7 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -500142 (base 7) to base 11.\nAnswer: -58218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -74 + 369\/4. What is the common denominator of r and (-6)\/(-21) + 1418\/(-112)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, -29 in increasing order.\nAnswer: -29, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 - 49*m + 2073. Let s be g(-76). Solve q + 5*t = -21, -4*q + s*t + 11 = 22*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 5, s: 1, b: 3}. What is prob of sequence sbbb?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 53469 - 19855. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 25, -1, -56, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 125 + 47 = 0. Let v = 106 - p. Calculate the remainder when 36 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -47 - -86. What is the highest common factor of b and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of 19*j**5\/20 - j**4\/3 + j**3\/3 - 7*j**2. Is a(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 - 48935*v + 48953*v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 409.2 + -452. Let v = i - -42.667. What is v rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + x + 3*s + 57, 4*s + 61 = 3*x. Let f(z) = z**2 - 3*z + 14. Let h be f(0). Which is smaller: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2932, 4991, 8412, 13195?\nAnswer: 19340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -56\/11?  (a) 5  (b) -2\/5  (c) -1\/11  (d) -4  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 24bb (base 16) in base 3?\nAnswer: 110220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1184, -3108, -8342, -18536, -35340, -60404, -95378, -141912?\nAnswer: -201656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/839 and -44\/110925.\nAnswer: 93066075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -136\/173031 or 1?\nAnswer: -136\/173031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 5, m: 13}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/3)\/(v\/v**(-2\/11)))\/(v**(1\/4))**(-25) assuming v is positive.\nAnswer: v**(713\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-598)\/(-39)*90 - 1*5. What is the greatest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (1914\/4)\/(53\/106)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 3*g**2 + 5*g - 34. Calculate k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 92526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -43*a**2 - 860*a - 12. What is n(-20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1398*w + 1617*w - 93097119 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 192450 - 13.\nAnswer: 192437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18*b**3*g**3 + 2*b**3*g - 4*b**2*g**2 - 3394*b*g - 26*g**3 wrt g?\nAnswer: -108*b**3*g - 8*b**2 - 156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z**4\/11 + 219632*z**3\/11 - 548321248*z**2 + 96462374400*z\/11 - 385793280000\/11 = 0. What is z?\nAnswer: 8, 54900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 p when three letters picked without replacement from {t: 1, p: 5, y: 5}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 - 2*a**2 - 2*a + 4. Let i be t(4). Suppose 4 = 3*j + i. Let m = j + 14. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -2*h + 450. Let s(a) = -a + 150. Let k(g) = -p(g) + 3*s(g). Let z(y) = 7818*y. Determine k(z(t)).\nAnswer: -7818*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3545262 by -196959.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 1:19 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 107706 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 37  (b) -1\/3  (c) 0.3  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -189, -659, -1457, -2577, -4013?\nAnswer: -5759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102210 (base 3) to base 11.\nAnswer: 26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6897 a factor of 440017628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(2 + 1*sqrt(567)*5 + -1 + (sqrt(567) + sqrt(567) + sqrt(567)*-2 - sqrt(567)) + sqrt(567) + 0 + 5 + sqrt(567) + 5))**2*-3.\nAnswer: -246396 - 14256*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 15*z**3 + 4*z**2 + 9. Let w(i) = 7*i**3 + 2*i**2 + 4. Determine 4*d(x) - 9*w(x).\nAnswer: -3*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (7 - 1)\/(147\/19600)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**2 + 7*h**2 - 12*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8229528973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1189466 to the power of 1\/2, to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 0*k = -20. Solve -4*d + 5*c = 31, k*d = -d + 2*c - 26 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 732 divided by 4?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 67 + 55. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of 11*n**2\/2 - 2*n - 4. Is y(2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 5*z = 6. Calculate the common denominator of 96\/(-10) + z\/(-1) and 12\/33*27\/108.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8867439 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -29*i**2 - 31*i + 1. Let h be v(-1). Let j(d) = 11*d**2 - 31*d - 4. Determine j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 40226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3328\/1309 - -22\/119. Let g = -458 - -3224\/7. What is the common denominator of g and d?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -279*s. Let i(b) = -b**2 - 1010*b. Calculate i(q(c)).\nAnswer: -77841*c**2 + 281790*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.3  (b) -2  (c) 21  (d) 22665  (e) 1\/2  (f) 0.4  (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 3, -37, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (-12 - (13 - (14 - 5 - (9 + -4)))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(441) - (3*2*sqrt(441) - sqrt(441)))\/(sqrt(567)*1))\/((sqrt(18) + (sqrt(144) + sqrt(144)*-1)\/sqrt(8))\/sqrt(2)*-6) + 5)**2.\nAnswer: 20*sqrt(7)\/27 + 18253\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 2 r, and 1 m when four letters picked without replacement from {m: 2, l: 2, u: 1, n: 2, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(120\/(-9)))\/((-108)\/1152) - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1364 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 15 = -4*b + 2*u, -b + 3*u + 15 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x. Let f be t(0). Let m(q) = -q**3 - q**2 + 231. Let v be m(f). Suppose v = -p + 4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 PM and 12:51 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 587816034?\nAnswer: 2, 3, 13, 19, 396637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/430  (b) -1\/2  (c) 6\/11  (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*c + l = -23*c + 23, 10*c + 172*l = 162*l + 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 7)*(-3*r + 5*r - 3*r + (2 + 1 - 1)*(-4*r - r + 3*r) + 7*r - 2*r - 3*r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 13812059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 + g + 1. Let x(q) = -q**3 + 5*q**2 - 2*q. Determine -2*b(y) - x(y).\nAnswer: -y**3 - 5*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10065875 or -10065873?\nAnswer: -10065875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8.266833ml?\nAnswer: 0.008266833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*o + 144*o - 447 = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1621)\/(-4863))\/((-1)\/(-3))*-22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*n**4 + 6*n**4 - 8*n**4 + (-n - 2*n**2 + n)*(2*n**2 + 3*n**2 - 6*n**2) + 36*n**4 + 9*n**4 + 10*n**4.\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-330)*11)\/((-144)\/(-24624)*(-2)\/4).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 100011 (base 3) in base 6?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 3*p**3 + 11*p**2 + 10*p + 1. Let c(g) = -4*g**3 - 11*g**2 - 10*g - 1. Let v(x) = -2*c(x) - 3*y(x). Let l be v(-10). Put l, 4, -3 in decreasing order.\nAnswer: 4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d**3 - 44225*d**2 + 44260*d + 265380 = 0. What is d?\nAnswer: -8846, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -3.697, -0.5, -44\/7 in descending order.\nAnswer: -0.5, -3.697, -44\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 163*b**2 + 3*b + 74*b**2 + 500*b**2 + b**2 - 5.\nAnswer: 738*b**2 + 3*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 - 23*a**2 - 42*a + 15. Let u be i(-21). Suppose -4*f - 3*c - 5 = 0, c + u = -5*f - c. Put 1, 2, f, -4 in ascending order.\nAnswer: f, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 60.16 + -59. What is the nearest to q in 3, -1\/9, -0.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1\/6, 19, -0.03, 3\/22, -4, 12, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 - (-4 - -16)\/(-3). Solve -2*f = -2*g + m - 3, -g = 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1169648, 2339295, 3508944, 4678595, 5848248?\nAnswer: 7017903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100000 + 1001000100110000?\nAnswer: 1001000110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7879\/10 + -789. Find the common denominator of m and -19\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1476 - 1497. Which is the second smallest value?  (a) q  (b) 8  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 75538, 302270, 680156, 1209196, 1889390?\nAnswer: 2720738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 11692.7 - -0.05\nAnswer: 11692.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -289, 2\/4715, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) 0.1  (c) -0.076384  (d) -3  (e) 0.3  (f) -1\/6  (g) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + 0. Let j be (8\/(-3) + v)*-6. Let f(x) = x**3 - 3*x**2 - 2*x + 1. What is the units digit of f(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 332040 bigger than 332040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Work out -15 - 4.3436871.\nAnswer: -19.3436871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/9 and 57\/16814.\nAnswer: 151326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of x**2 - 5. Let p(w) = -14*w. What is p(a(q))?\nAnswer: -28*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 672a9 - a?\nAnswer: 6729c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 7, g: 1, m: 1, a: 4, w: 4}. Give prob of picking 1 g and 1 f.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times -0.5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 87*i. Let p(b) = 16*b**2. Determine f(p(r)).\nAnswer: 1392*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10420175?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2284, 4554, 6822, 9088, 11352?\nAnswer: 13614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of r**5\/5 + r**3\/6 + r**2\/2 + r. Let m(u) = u + 3. Let g be m(-4). Calculate b(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -31 - -54152?\nAnswer: 54121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 11. What is the units digit of (80\/n)\/1 + -53 + 51?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 381001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is ad94 + 3?\nAnswer: ad97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 198*u**2 - 6*u**3 + 5*u**3 - 196*u**2 wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 30\/180 - (-11012)\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2946, 5892, 8838, 11784, 14730, 17676?\nAnswer: 20622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -103\/230 + 8\/23. Let d be (-1)\/((-60)\/(-39)) + 1. Let n = d + z. Which is the smallest value?  (a) 0.4  (b) n  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 21*r - 248*r + 119*r)*(-7 + 4 + 1).\nAnswer: 216*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 127207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -44 + -10. Let p = 56 + b. Is (823 - p)\/((-1)\/2*-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -51 + 51. Let o be 2 + 1 - x - 2. Let g(z) = 5*z. Let j(w) = -w. Let s(a) = o*g(a) - 4*j(a). Let h(r) = -3*r**2. Determine s(h(n)).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j**4 + j**4 + j**4)*(2 + 4 - 4).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 + -18. Suppose -2*p + l = p. Let n be 2 + (-22)\/8 + 1\/2. What is the closest to -1 in 2, n, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = 2*n - 35, -n - 5*x - 10 = 44 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-54)\/(-13) + (1 - (-30)\/(-26)). Factor 2\/3*x**2 - r*x + 6.\nAnswer: 2*(x - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -25, -84, -1719?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -104511?\nAnswer: -104510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5, 432, -0.5, 270\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -9.5 from 4.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*v**3\/15 + 2453362*v**2\/5 - 7360088*v\/15 = 0. What is v?\nAnswer: -3680044, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 2752.0171 to the nearest integer.\nAnswer: 2752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 42719.3 decades?\nAnswer: 427193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 + 4*k + 1. Let y be 3\/(2\/(-64)*6). Let w = 8 - 23. Let m be (y\/10)\/(6\/w). Give t(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3747677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - 6*g**2 - 9*g + 16. Let t be j(7). Find the third derivative of -5072*h**5 + 4*h**t - 27*h**2 + 5025*h**5 wrt h.\nAnswer: -2820*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 0.01  (c) -2  (d) 2  (e) -4  (f) -4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-1)\/b*b)\/b**(-4))**(3\/7)\/(b**(2\/17)\/(b**6\/b*b)*(b**(-1\/4))**(-33)) assuming b is positive.\nAnswer: b**(-311\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*n**5 + 4*n + 7 wrt n.\nAnswer: -160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 0*w + 4*l = 15, -4*w + 4*l - 24 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*k - 29*k - 114 = 3*l, 2*k - 385*l + 386*l + 45 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = 9*q - 11*q - 63216. 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 (14*1)\/(1*(-20)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 1 + -3*(0 + sqrt(99)))**2*-6.\nAnswer: -5370 - 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/((5 + -1)*(13 - 14)). Suppose 2*d - 2*w + 5*w - 12 = 0, d - 5*w - 19 = r. Suppose 3\/5*g**3 + d*g**2 - 192\/5 + 144\/5*g = 0. What is g?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(8\/5))**(-7\/12) assuming t is positive.\nAnswer: t**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -69111 divided by 1.\nAnswer: -69111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 263*x + 8544 + 1572 = -164*x + 295 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003049291 rounded to 6 dps?\nAnswer: 0.003049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*r**5 - 740*r**4 + 157*r**3 - 3*r**2 + 326*r + 436 wrt r?\nAnswer: 120*r**2 - 17760*r + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of m**2\/2 - 18*m. Let t be 1\/(-2 - (-14)\/8). Let d be t\/((-8)\/2) - 2. Let n(s) = -s**2 + 1. Calculate d*y(a) - n(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - 7*v**2 - 3*v - 3. What is w(7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*k**2 + 3)*(5*k + 2 - 2)*(4*k**2 - k**2 - k**2)*(1183 - 780 - 792).\nAnswer: -7780*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-92)\/(-20) + (-2)\/(-5). Let g = 5 - b. Suppose 2*r + 3*r - 10 = g. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2\/13, 111\/34, 3, -4 in decreasing order.\nAnswer: 111\/34, 3, -2\/13, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 56423700 divided by -132450\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -19*z. Let b = 91 + -93. What are the prime factors of d(b)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5.3017 - 3.3017. Which is greater: -174\/77 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v**5\/5 - 1006*v**4\/5 - 252001*v**3\/5 + 507024*v**2\/5 - 254016*v\/5 = 0. Calculate v.\nAnswer: -504, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t + 14. Let h be v(14). Let d be h\/(((-1)\/1)\/1). Suppose -u = -d*u - 9. Calculate the greatest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -75 - 60. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 21, 12, -4, 3, -3 in increasing order.\nAnswer: -6, -4, -3, 3, 12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/48)\/((-11)\/(-44))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2424668, 2424666, 2424664, 2424662?\n\"Answer: -2*y + 2424670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 3*d + 6, 0 = b - 0*b + 2*d - 8. Suppose -g = 4*h + 5, 0 = b*g - 3*g + h + 8. Let q = -8 - g. Solve -m = -q - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -7 + 412\/60 + 17\/15. Solve 2*n = -x + r - 2, -x = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 683112 is divided by 131.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 514, 522, 532, 544?\n\"Answer: f**2 + 5*f + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/7, -5, -0.4, 3, -100?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/(-35))\/(2\/10). What is the second biggest value in s, 1, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**2 + 2. Suppose -v + 4 = v. Suppose 4*r + v = -6. Give y(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express y + 123 - 28*y**3 - 124 + 3*y**4 - 2*y**4 as w*y**2 + g*y**3 + d + l*y**4 + t*y and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c9 + 448a8b?\nAnswer: 448b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jcecmmhjymemm. Give prob of sequence cyj.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8)\/(-56)*(-32)\/16)\/((-10)\/14). What is the nearest to f in 5, 2, -2\/19, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*y*z**3 - 4661*y*z**2 + y - 123098*z**3 wrt y?\nAnswer: 6*z**3 - 4661*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 11:32 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -56 + 55.9. Which is the closest to s?  (a) 3  (b) 5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*s + 75 = -8*s. Let z = 200 - 65. What is the highest common divisor of s and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 255723?\nAnswer: 3, 13, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**3\/9 - 3710146*f**2\/9 - 1720664613200*f\/9 - 1720631222048 = 0. What is f?\nAnswer: -927532, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 701529762 a multiple of 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 - 1. Let f be b(-2). Suppose -f*t - 23 - 12 = -i, -i - t = -23. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8827097831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r - 9. Suppose 9*h - 48 = 231. Let u(j) = 8 + 15 - h + 10. Give 4*s(g) + 18*u(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 59413.8 kilograms?\nAnswer: 59413800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*5*(-3*sqrt(44)\/sqrt(4) - (sqrt(11) - ((sqrt(11)*2)**2 + sqrt(11)))*6).\nAnswer: -30*sqrt(11) + 2640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*b - 135*b = 24 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36674202?\nAnswer: 2, 3, 17, 167, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 60144 + b6?\nAnswer: 601fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 52, 131, 252, 421?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 5*a**2 - 5*a. Let t(g) = 560000*g + 1. Give o(t(b)).\nAnswer: 1568000000000*b**2 + 2800000*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - -0.1. Let r = -306 - -307.87. Let m = r + 0.13. Which is the biggest value?  (a) m  (b) -3\/5  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 29346 and 42?\nAnswer: 205422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (1*sqrt(1088))**2)*1 + (sqrt(1088)*-1 + 1 - (1 + sqrt(1088) + -2 + sqrt(1088) - sqrt(1088)))**2.\nAnswer: -64*sqrt(17) + 5444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -1 + (sqrt(605) + -3 + sqrt(605))**2.\nAnswer: -132*sqrt(5) + 2423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - l = -9444. Let b = l + -1071. Let m = b - 319. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/3*n + 4\/9*n**2 + 8\/9.\nAnswer: 4*(n - 2)*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/2*(-16)\/12. Suppose 5 = 5*k + 5*f, -4*k - 3 + q = 5*f. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 6 = -4*j - 28, 38 = 2*m + 4*j. Suppose 31 = 2*h - m. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 AM and 11:13 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1619764?\nAnswer: 2, 404941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2*c = -c - 25, -47 = -3*x - 5*c. Let i = x + -17. Solve o - 5 = -i*n, n = -0*n + 3*o - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1099792 and -134781?\nAnswer: 965011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-23)\/(-5) - 6\/10. Suppose p = -2*q, -4*q - 33 = -5*j - 0*q. Suppose 4*y - 18 + 4 = 2*r, j*r = 3*y. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/477)\/((-127)\/(762\/(-7)))\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000413494 rounded to 5 decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 107?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (96*105\/(-4410))\/(8\/(-280)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-168)\/(-224))\/(2\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2366, -4696, -6996, -9260, -11482, -13656?\nAnswer: -15776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.3 - -77.7. Let i = q - 100. Does 0 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/15*-3*1\/(-6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 5372*g - 5374*g + 1 - 4.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of u**4 - 20368*u**3 - 10979?\nAnswer: 4*u**3 - 61104*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1007*v + 1008*v + 49 - 17)*(-4 + 7 + 10).\nAnswer: 13*v + 416","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15785751*q**3 + 11*q**2 + 20*q + 1504?\nAnswer: -94714506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 968159040?\nAnswer: 2, 3, 5, 1008499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1848 = -6*v + 4*v + 2*h, -2*v = 4*h - 1854. What are the prime factors of v?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4142 - 3?\nAnswer: 4139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 24 = z + 2*p, 2*z - 48 = 4*p. Suppose -5*a = z - 259. Suppose 5*j = 18 + a. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (30\/50)\/((-2)\/(-410)). Let h = 320 + u. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 4*w - 3. Let k be d(2). Suppose 4*o + 5*t = 36, k*t - t - 32 = -4*o. Suppose p = o*l + 3*p - 70, -1 = -p. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t - 16. Let k be z(12). Let p be (43\/9 - 0) + k\/(-18). Suppose -357 - 1153 = -p*n + 5*o, 2*n + 4*o - 586 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2103*j - 1648*j + 30204 = -11271 - 11039 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/18)\/t**(-4\/5))\/(((t**(-1\/2)*t)\/t*t)\/(t*t**(-16))))**(1\/24) assuming t is positive.\nAnswer: t**(-83\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ebmb. Give prob of sequence beb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3770 a factor of 119447206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 - 2*p**2 - 4*p + 3. Let h be a(2). Let g = 7 + h. Differentiate 2*v + 2*v + g*v - 3 - 5*v with respect to v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, 4201 in descending order.\nAnswer: 4201, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -11 + 13 - 5*y**2 + 19*y**2 + 6*y**2 - 4*y**3 as v + n*y**2 + i*y**3 + d*y and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**2 + 27*y + 100. Let f be c(30). Let i(a) = -11*a + 117. Let s be i(f). Let r(h) = 0*h + 2*h - 3*h - 3. Give r(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100.2 plus -1.95?\nAnswer: -102.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uiyyyeheyyyyeihyyye. What is prob of picking 2 h and 2 e?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 154.35 + -1.45. Round n to the nearest integer.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h - 7*h + 7*h. Let x(q) = -2*q**2 - 3*q + 2. Calculate -4*s(y) - x(y).\nAnswer: 2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -p + 7796, -g + 5*p = g - 3920. Let q = g - 21432\/11. Factor 2\/11*u**3 - 10\/11*u**2 + 6\/11*u + q.\nAnswer: 2*(u - 3)**2*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -180*w + 1. Give p(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - x - 35*x)*(-12*x**2 + 9*x**2 - 17*x**2).\nAnswer: 720*x**3 + 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 787 in -2\/3, -5, 2\/5, -7, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is c5a1 (base 15) in base 2?\nAnswer: 1010001100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.041406275 to three decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 541*o - 114*o - 6756 = -1262*o. Suppose 0 = 2*c - 2, -1 = 4*h + c - 2. Suppose h = -4*s + s + 12. Calculate the highest common factor of s and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2080314 divided by 346719\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 3. Let c(m) = 1 + 4*m + 2*m + 0*m. What is c(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 9 = h. Let m(q) be the second derivative of -q**2 + 0 + q - 1\/6*q**h. Differentiate m(x) with respect to x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12129 + 12129. Which is the closest to 7.2?  (a) r  (b) -4\/7  (c) 5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.9 + -11.9. Let l = -9.77 - s. Let a = l - 1.23282. Round a to 4 decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -57 * -453\nAnswer: 25821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 56610 divided by -222?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + (-4 - (-8 + 2)) - -1. Solve j*f = 2*o - 7 + 1, 8 = f - 5*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1545237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s - 70 = -118 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17499*l + 17462*l - 296 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.97323 to 2 decimal places.\nAnswer: -1.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4358802126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10461 - -10505. What is the remainder when k is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**3 - b**3 + 2*b**3 + (440*b**2 + 1 - 7*b + 150*b**2 - 114*b**2)*(-b - 2*b + 5*b) to the form d + t*b + o*b**2 + j*b**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i*(i\/i**(-1\/3))\/i)))**(-43)*(i*i*i\/((i\/(i*(i**5*i*i)\/i))\/i))\/(i\/i**(-15)) assuming i is positive.\nAnswer: i**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**29\/x*x\/x**(1\/6))**(-27))**(2\/33) assuming x is positive.\nAnswer: x**(-537\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-1*(((sqrt(77) - (sqrt(77) + -4*sqrt(77)*1)) + sqrt(77))\/sqrt(7) + -1).\nAnswer: -25*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 4*t = y - 100, -64 = -2*y + 5*t. Suppose -3*p + y = 5*z, -3*p + 4*z + 51 = z. What is the remainder when p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c**5 + 1600*c**4 + 12747*c**3 + 17492*c**2 - 31840*c = 0. Calculate c.\nAnswer: -1592, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6817941 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 + 25. Suppose 2*s + 7*a + 1 = 4*a, 0 = 3*s + 2*a - x. Calculate the highest common divisor of 42 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28*(-15)\/(-80) - -5 - 606\/(-2616).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of j**2 - 3*j**2 - j**6 - 6*j**2 wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.764 rounded to 1 dp?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j**2. Let m be k(1). Let w = 12.6 + -11.6. Put w, -4\/3, m in increasing order.\nAnswer: m, -4\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, -94, -8, 3\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 751 minus -0.056389?\nAnswer: 751.056389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002861 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 54\/5 of a century?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**1)**(2\/45)\/(c*c*c\/(c*c**6)*c*c*c**(-4)))**(-15) assuming c is positive.\nAnswer: c**(-272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004326 to 4 decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 1:23 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -13 + -6 - -8 - (-5 + 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 12 - -8 - 6 - (10 + -20 + 48)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -7*g**2 - 53*g + 175. Give f(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x - 1. Let v(a) = -2*a + 1. Suppose -8 = 4*o, 0 = -2*f + 6*f + 2*o + 20. Let u be (27\/(-36))\/((-1)\/f). Give u*v(g) - 4*n(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + (sqrt(187)*-2)\/sqrt(11) + sqrt(17) + sqrt(833)*3.\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5 - -1 - (0 + (-4)\/(-1)). What is the third derivative of 10*h**4 - 4*h**2 - 5*h**2 - 3*h**i - 20*h**2 wrt h?\nAnswer: 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 - 9 = -3*x. Suppose -5*t = -17*t - x. Which is the second smallest value?  (a) t  (b) -3  (c) 6  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 146 and 231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.081*181261.1\nAnswer: 14682.1491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6*(-12)\/54)\/((-2)\/1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**5 - 12*p**3 - 8*p**2.\nAnswer: 4*p**2*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 44951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/16 - 1 - 38\/(-4). Suppose 13*l - 286 = -f*l. What is the remainder when 22 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -2*r - 20. Let y = r - -74. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5 - -3*294\/3. Suppose 21*u - 8*u - d = 0. What is the remainder when u is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -6, 0.1, 5 in decreasing order.\nAnswer: 5, 0.1, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2392 * -17.\nAnswer: -40664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.8, -3, 2, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**4 + 142*j**3 + 3150*j**2 + 16250*j - 125000.\nAnswer: 2*(j - 4)*(j + 25)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 296836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/7 + 345988*x\/7 + 3458480.\nAnswer: 2*(x + 70)*(x + 172924)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -389*f**2 + 32*f - 75. Let u be a(-25). Round u to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*c - 1382 + 1314 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 719?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*2*sqrt(35) + (sqrt(35) - (sqrt(560) - 3*sqrt(560))))\/((sqrt(60)\/sqrt(432) - sqrt(5)) + sqrt(45)*4).\nAnswer: 78*sqrt(7)\/67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27356070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -0*o + 2*y + 12, 14 = -3*o - 4*y. Suppose -c + o = -2*c. Let h be ((c + 20)\/(-3))\/(-2). Solve -w = h*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*p**6 - 4*p**3 - 2*p**3 + 6*p**3 + 4*p**2 wrt p?\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003237131 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126984607.\nAnswer: 10103, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o**3 - 230*o**2 - 1845*o - 1620 = 0. What is o?\nAnswer: -36, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -28 (base 11) to base 2.\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t + b + 4, 6*b - 5*b - 16 = -3*t. What is the derivative of -3 + 3 - 3 - t*d**2 wrt d?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pqno when four letters picked without replacement from fnoprqq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 5*x. Let f(w) = -w**2 - 6*w - 6. Let i(j) = -3*j**2 - 19*j - 17. Let p(v) = -8*f(v) + 3*i(v). Let l be p(-8). Give o(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*a = -130*a - 1836 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*-3 + sqrt(19) + -1 + 4 - 3*(sqrt(931) + -4)) + 3.\nAnswer: -23*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + (sqrt(60)\/sqrt(3)*-3 - sqrt(20)) + sqrt(20))\/sqrt(4).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/324 and 55\/28.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 - (-45 - -68 - -52)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w = -5*w - 231. List the prime factors of w.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (8 - (1 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 246 = -3*z + 4*z + 3*s, 3*s + 258 = z. What is the remainder when z is divided by 82?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2044 + -21?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-34)\/(-17))\/((-5)\/(790\/(-4))) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330406193 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -139\/1200 - -4\/75. Which is the closest to -2\/7?  (a) r  (b) -2\/3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = 2\/690859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11942 + 11942.000065359. Round i to 7 dps.\nAnswer: 0.0000654","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 6702.2999 and 3.1.\nAnswer: 6705.3999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 84 = x + 3*n, 208 = 3*x + n. Let b be (-7 - x\/(-8))*2. Let w(t) = t + 1. Let m(z) = -2*z - 2. What is b*m(u) + 5*w(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 965*z + 1. Let v(g) be the second derivative of g**3\/6 + 108*g. Calculate v(a(b)).\nAnswer: 965*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -67 * 0.023.\nAnswer: -1.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 divided by -23?\nAnswer: -42\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -5  (b) -3.2  (c) 0.5  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + (3 - -1)\/((-15)\/5). Let n(w) be the first derivative of 0*w**2 + 3 - z*w**3 + 0*w - 1\/2*w**4 - 1\/10*w**5. Find s, given that n(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, y: 3, w: 11}. Give prob of picking 2 w.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 777\/8 - 2371\/24. Which is the second biggest value?  (a) 8  (b) 2  (c) 11  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - -1. Let n(p) = -662 + 1981 - 654 + 3*p - 659. Let r(q) = 1. Let v(j) = 1. Let h(c) = r(c) - 2*v(c). Determine u*h(a) + n(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 2*j = -2*j + 9, -5*l - 2*j = -15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -6\/5  (b) -3\/5  (c) 2\/5  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2856 = -2*s - 624. Let l(t) = 1116 + 4*t - s. Let q(y) = 11*y. Calculate l(q(c)).\nAnswer: 44*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**1)**(1\/70))**(-11)*(j*j**2)\/(j*j*j\/(j*j**3\/j)*j)*j**(2\/3)*j**(-3)\/j assuming j is positive.\nAnswer: j**(-313\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1914 = 4*d - 5558. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/9)\/((-1)\/(-3)). Let u(n) = 5*n**2 - n + 2. Let v be u(t). What is the greatest common divisor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h - 7. Let k = 564 - 574. Let r(b) = b**3 + 8*b**2 - 18*b + 29. Let c be r(k). Let y(w) = w + 3. Give c*y(s) + 4*o(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-125)\/((-29375)\/(-658)))\/((-5*(-8)\/20)\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61292697.\nAnswer: 3, 20430899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41019.\nAnswer: 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -p**2*q**2 + 94*p**2*q - 42*p*q**2 - 13*p wrt p.\nAnswer: -2*q**2 + 188*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 72*a**2 + 176*a**3 + 21*a**4 - 117*a**4 + 18*a**5 - 200*a**2 + 32*a.\nAnswer: 2*a*(a - 2)**2*(3*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-60)\/455 + (-4)\/26?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16061*s + 15721*s + 13086*s - 41414*s.\nAnswer: 3454*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10426 - 5291. Let x(m) = -2*m**2 - 22*m + 9. Let o be x(-11). Suppose o*y = 4*y + p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/5 + 2\/10. Suppose 2*i - 5 + 1 = o. Solve 14 = 4*z - i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5510)\/4)\/(-29)*((-36)\/10 + 4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {c: 1, l: 5, m: 4}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -154 - -120. Let n = -28 - -15. Let t = n - q. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eoeeeeeoeeoeeee. Give prob of picking 2 e and 1 o.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 4 = s. Suppose -i - 3*j = -156, -s*i = -2*i - 4*j - 455. Suppose 0 = 8*t - 1398 + 1262. What is the greatest common factor of i and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 16*l**2 - 6*l + 1. Let i(m) = -3*m**2 + m. Let a be (-68)\/(-6) - (-4)\/6. Suppose -5*j + j + 4*f = a, -2*f = 3*j - 16. Give j*u(w) + 11*i(w).\nAnswer: -w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, n: 3, d: 1, i: 3, b: 1, j: 2}. Give prob of picking 1 j, 1 n, 1 t, and 1 b.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11878338 is divided by 977.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 31, 12, 15, -0.2?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178115 is divided by 59211.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3448449*d**2\/2 + 1857*d + 1\/2 = 0. Calculate d.\nAnswer: -1\/1857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 8976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -3*y**3 - 2*y**2 - y. Let f be h(-3). What is the highest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*g - 2853 + 279. Calculate the smallest common multiple of g and ((-3)\/(-3))\/(70\/(-15) + 5).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6857.966 nanograms to kilograms.\nAnswer: 0.000000006857966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 648 and 116964?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + 39\/(-15) - 1?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 32487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-8))**(-33)*g**(-6\/11)\/((g*g**(1\/8)\/g)\/g) assuming g is positive.\nAnswer: g**(23261\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 53926668 to the nearest integer?\nAnswer: 7343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of 5*v**3\/3 - 210*v**2 + 415*v + 2625. Find c, given that l(c) = 0.\nAnswer: 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67237999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 54080*p**3 - 109200*p**2 + 2085*p - 10.\nAnswer: 5*(p - 2)*(104*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 105*p**3 - 4*p**2 - 8*p. Let j(c) = -209*c**3 + 7*c**2 + 14*c. Calculate -7*f(q) - 4*j(q).\nAnswer: 101*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*x - 194 = 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 14*(-6)\/420*-12 - (4 + -2). Let r = 2\/5 - 3\/20. What is the closest to r in p, 0.5, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 315*d = 2688 - 10181 - 4792 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 75438927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 - -7. Let i = b - 0.2. Put -5, i, 0.2 in ascending order.\nAnswer: -5, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6.9 + 94.9. Let s = 88.1 - z. Which is the closest to -2\/9?  (a) -1  (b) 3\/5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -313 + 318. Solve n = k*b - 10, 0 = -5*b - 5*n + 2 + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-12)\/(-8)*(-8)\/(-30). Factor -w**4 + o*w + 0 + w**2 - 2\/5*w**3.\nAnswer: -w*(w - 1)*(w + 1)*(5*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 12 = 3*b + 2*q, q = b - 4. Solve -4 = 3*k + b*z, -4*k = z - 6*z - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 714\/35 + (-4)\/10. Let f be -5 + 7 - (0 - 28). Calculate the highest common factor of f and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 854591968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0955 + 0.0045. Which is the closest to r?  (a) 22  (b) -0.3  (c) -4  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 278116963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 893619411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -2*u. Suppose 6*g = g - 15. What is the closest to u in g, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 10:13 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((((-165)\/140)\/11)\/(81\/162))\/(7\/238)?\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/4 and -62\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4543, 4544, 4545, 4546?\nAnswer: 4547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -4. Suppose -3*p = 4*f + 7, -10*p = -f - 8*p + 12. Let h = -5.4 - -5. What is the second smallest value in f, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 216 and 5688.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 5) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 16) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = y - 5*h, 22*h + 20 = -2*y + 25*h. List the prime factors of 346\/(y - -6) + (-2 - 0).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 35 - 35.000083. Round a to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 334182.429 seconds to weeks.\nAnswer: 0.5525503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/4)\/(r**17\/r))\/(r**0*r**(-3\/7)*r*r*r) assuming r is positive.\nAnswer: r**(-513\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j**3 + 2*j**2 - j. Let q(r) = r - 2. Let x be q(3). Let t be s(x). Let u = t + 5. Solve 0 = -g + 3, -16 = 2*h + u*h + 3*g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -4*k**2 - 72*k + 78. Let x be l(-19). Solve -5*u + 40 = 4*j, -3*j + 1 = -4*u + x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x + 6. Suppose -2*i - 5*j = 3*i + 10, 2*j = 4*i + 26. Let r be p(i). Is r\/(-6)*(-15)\/(-2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -134\/33 - -30\/11. Let k = 373 - 374. Which is the closest to -0.1?  (a) 8  (b) k  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13 and 1950?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 3*a - 36 = 0, -16092*f + 16100*f + 2*a - 78 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 4*s + 28 = 0, 2*s + 1 + 17 = 6*p. Suppose -3*u - 6 = 0, -6*a + p*u = -5*a - 10. Find v such that 2\/3*v**a + 4\/3*v + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 + 37*g + 15. Let x be k(37). Suppose 6126 = x*o - 1614. Is o a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(4 + -4 + (sqrt(425) - (-2*sqrt(425) + -5))))**2.\nAnswer: 2400*sqrt(17) + 61600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2*l + 24. Let x be s(12). Let u be (-1 - -2)*10\/15 + x. Let o = 79\/5 - 83\/5. Put 0, u, o in decreasing order.\nAnswer: u, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -5*y**3\/2 - 210*y**2 - 2385*y\/2 - 1755 = 0?\nAnswer: -78, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1, 12, 51, 128, 255?\n\"Answer: 2*z**3 + z**2 - 4*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3485 and 16143709.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/238 and -37\/470050?\nAnswer: 470050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1017 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/(-12))\/(1\/(-4)). Let h = 0.2437 - 35.2437. Is j less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26274 and 1208.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -31 + 63 + (37 - 104)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/2 + 43983*n\/2 + 65970.\nAnswer: (n + 3)*(n + 43980)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.422 + -22.578. Which is the nearest to r?  (a) 0.4  (b) -0.3  (c) -1  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-8)*(443 - -1). Let o = -7571\/84 + 614\/7. Calculate the common denominator of o and ((-2)\/(-12))\/((-20)\/l).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 + 7*s**2 + 13*s + 13. Let d be t(-5). Which is bigger: -17 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -34\/5, 1\/11, 1\/15, -1, 9?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14945 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2153 + -2149. Put -4, -5, x, 2 in ascending order.\nAnswer: -5, -4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 76, 151, 228, 307?\n\"Answer: p**2 + 72*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -177, -205, -245, -291, -337, -377, -405?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 2:32 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) -1.3  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 7:20 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -1 + 5 - 2 - 4 + 2*g. What is the least common multiple of j(3) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 950908.\nAnswer: 2, 7, 33961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2443435, -2443458, -2443497, -2443552, -2443623, -2443710?\n\"Answer: -8*b**2 + b - 2443428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of 45\/2*x**4 + 0*x**2 + 98*x + 42 + 0*x**3. Differentiate g(p) wrt p.\nAnswer: 270*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**2 + 14087020*b + 28174060.\nAnswer: -5*(b - 2817406)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -32904.\nAnswer: -1\/10968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.011474g to nanograms.\nAnswer: 5011474000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*t + 2. Let c = 6\/175 - -10289\/1050. Find the common denominator of c and 753\/108 - t\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 2, 3, 7\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*f*g**2*p**2 + f*g*p**3 + 14*f*p**3 + 20*g**2*p**3 - 2*g**2*p + 8*g**2 wrt f.\nAnswer: 2*g**2*p**2 + g*p**3 + 14*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 8 = -6*j, -4*j + 8 = 3*m. Let x(d) = -66*d - 58*d + 262*d + 30 - 67*d - 70*d - 31. Determine x(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 - 18 - 21*f + 5*f**2 + 64 - 32.\nAnswer: 5*f**2 - 21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1)*q)**38\/((q\/q**(-2\/3))\/q)**(6\/7) assuming q is positive.\nAnswer: q**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -17 - -965?\nAnswer: 94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -35 + 50. Suppose -2*j + 5*b - i = -130, -12 = 4*b. Suppose j = -0*g + 2*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-6*(-1*sqrt(2448) + -4 + -2 + sqrt(2448) + sqrt(2448) + 0).\nAnswer: -144 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, -96, -412, -1026, -2034, -3532?\nAnswer: -5616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 4 = 3*p. Suppose o - 7 = p*n, 0*o - 2*n - 10 = -2*o. Suppose o*u + g = 28, 3*u - 58 + 22 = -3*g. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23352047347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 5*n + 10, 3*z - 7 = -4*n + 1. Let a be (2 - z)*((-498)\/(-12) - 4). Suppose -a = 5*d - 8*d. Solve x = 5*x - 4*m - 4, 5*m - d = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 - 10*d**2 - 9*d. Let o be j(-9). Suppose -h = y - 192, -5*h = -o*y - 4*y + 777. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 12 - 6 = 0. Suppose t = g - 13. Let b = g + -16. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (123 - 118) + 1 + (2 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -102*c**5*o**2 - 476*c**5 + c*o - 691*o**2 + 19*o + 2 wrt c.\nAnswer: -2040*c**3*o**2 - 9520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 97 - 94. Solve -s*n + 5*u + 32 = 0, 20 = -0*u - 5*u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 6*c**2 + 8*c - 1. Let i(o) = -13*o**2 - 16*o + 2. Let v(t) = 4*i(t) + 9*r(t). Calculate v(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 213946031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*w**2 + 1 + w**2 - 3*w**2 + w**2 in the form s + n*w**2 + q*w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.916833nm in meters?\nAnswer: 0.000000005916833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, r: 1, a: 4, e: 2, l: 6, o: 2}. What is prob of sequence lr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (47 - -1 - -12)*2\/(-8)*(-13)\/(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/7, 0, 38, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/2  (b) -2  (c) -0.1  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 304157743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 96840 and 11925?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 391, 642, 893, 1144, 1395?\n\"Answer: 251*d + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**2\/5 - 157690398*r\/5 + 2072188468449867\/5 = 0. What is r?\nAnswer: 26281733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/7 - 118*m\/7 + 116\/7.\nAnswer: 2*(m - 58)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1218 divided by -6?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**5*n**(-6\/7)*n**(2\/35)\/(n**(7\/2)\/n) assuming n is positive.\nAnswer: n**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2.28 times 0.5\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12339\/11 - 5604\/5. Let x = 29407\/35850 - 1\/3585. What is the common denominator of f and x?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33*t**2 - 2 - 33*t**2 - t**2 - 2*t**3 + 157*t to h*t**2 + n*t + g*t**3 + r and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 505 - 304. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 39757*w + 5411 wrt w.\nAnswer: 39757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 + 67*l + 744. Let a be z(-14). Solve 3*q - 5*n = -2*q + 10, a*q - 4*n - 14 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1218\/21 - (-1*(-126)\/(-12) + 9)*2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129\/2*a**2 - 27\/2*a**3 + 18 + 96*a = 0. What is a?\nAnswer: -1, -2\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -3*r - 16. Let o be d(-6). Solve -3*h = -4*f - 4, -4*f + o*h - 4 = -0*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16346\/109971 - 2\/4073. Let l = 5\/27 + c. Suppose -j + 4*f + 2 = -18, 0 = 2*j + f - 4. Sort -0.2, 3, j, l.\nAnswer: -0.2, l, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 430 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 17*z - 23 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 11 = -2*j, -5*j = -5*f + 45. Calculate the highest common factor of f and 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -124.4 * 1.4902\nAnswer: -185.38088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 + 8*j - 11. What is the remainder when 94 is divided by g(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 13413233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 6*w = -5*a + 334, 4*w - 448 = -4*a. Let o(m) = -36*m**3 - m - 1. Let z be o(-1). Let u = w - z. What is the remainder when u is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.01749 to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (138\/36 + -4)\/((-2)\/18)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (404*-50)\/(1\/(-1 - -2)). Round y to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/776 and 13\/156*-58*2*(1 - 2).\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - -620531345?\nAnswer: 620531345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20 + 21. Let n(c) = 3*c**2 - 2*c + 1. Let w be n(q). Differentiate -3*p**3 - 3*p**3 + w + 2*p**3 wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(51) - sqrt(102)\/sqrt(2))\/sqrt(3) + 2 + 2 + sqrt(68) + 0 + sqrt(68))**2.\nAnswer: 32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a - 12*a - 6 + 8*a + 5*a**2. Let b be 2\/(-6) + (-17)\/3. Let q(m) = m**2 - 1. Let j(p) = b*q(p) + i(p). Give j(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -17.6 and 79?\nAnswer: 96.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115456139.\nAnswer: 115456139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 10 + 3 + -7 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, a: 2}. What is prob of sequence aa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -25470 divided by -2830?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 - 9 = 5*j. Let n(a) = 3*a**2 + 5*a - 20. What are the prime factors of n(j)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/7, 57, -1, 40, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:31 AM and 12:13 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 5 - (-70 + (30 - -39))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6777 <= 6807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -5*q**3 + 2*q**2 + q. Suppose 5*r + 1 = -4. Let l be x(r). Suppose 12 - 37 = -5*t. Solve -t*f + l = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 390 is divided by 184?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1188 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*w - 3*w + 1 - 14*w**3 + 4*w**2 - w**3 - 9*w in the form o*w**3 + c*w + d*w**2 + q and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 25*y**2 - 49*y + 4108. Is x(75) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l - 2. Let s be x(-3). Let g(t) = 2*t + 4. Determine g(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m**4 - 27*m**3 - 1283*m**2 + 38223*m - 71114 = 0. Calculate m.\nAnswer: -37, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -2 - (0 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 191\/2 + -94. Which is the second biggest value?  (a) 5  (b) 3  (c) k  (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - 270*h**2 + 291*h - 5936. Give y(269).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 3069*m**2 - 41*m - 6133*m**2 + 3066*m**2 + 57. What is b(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 5*q + 5 = 0, 5*q = 3*z + q + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -4789*c**3 - 2*c**2 - 2*c - 2. Let w(l) = -9579*l**3 - 5*l**2 - 5*l - 5. Determine -5*a(o) + 2*w(o).\nAnswer: 4787*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 47937280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from dffdaffffafdffffadn?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -3*i**2 - 12*i - 9. Let v(a) = -a**2 - 4*a - 3. Calculate -4*k(f) + 11*v(f).\nAnswer: f**2 + 4*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -d - 1. Suppose -4*r = d*x - 404, 5*x - r - 273 = 3*x. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*x - 5529 = 64419. Suppose -5*m = 24*s - 20*s - 1487, -4*m = -5*s - x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**3 + 10920*h**2 - 685035*h - 695950.\nAnswer: 5*(h - 62)*(h + 1)*(h + 2245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 0*d = -d, -4*p - 2*d = 0. What is the third biggest value in 73\/3, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 6 - 19*d - 15*d - 2 as m + p*d and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + j + 0.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*x - 249 = 165. Solve 17 = f - 4*p, f = -3*p - p - x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31 - 26. Calculate the remainder when 23 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of c*j**4 + 2*c*j - 52471*c + 2931*j**4 wrt j.\nAnswer: 4*c*j**3 + 2*c + 11724*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -511 = 366*l + 4149 - 268 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -3*x. Let o(a) = 5217*a + 1. Give o(q(p)).\nAnswer: -15651*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 12:30 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -702*r + 677*r - 436 - 214 = 0 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 1 = -4*w + 60, 5*a + 15 = 0. Let g = -21 - -15. Let k = g + w. Solve 4*o - k*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 8*b + 70 = 0. Suppose 0 = 5*t + 2*z - 69, -2*t + 2*z = -2*z - 42. What is the remainder when b is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 33759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 6*v - 3*v = 756, 2*f - 5*v - 497 = 0. Suppose w = -w - i + 115, -f = -4*w + 5*i. What is the remainder when w is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 - -6. Is 2 a factor of 4 - 0 - (b - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o - 15*o - 1 - 123*o**3 - 3 + 5 + 85*o**3.\nAnswer: -38*o**3 - 10*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*2*(-1)\/2. Let t(w) be the second derivative of 11*w**4\/2 + w**3\/6 - w**2\/2 + 21*w + 2. List the prime factors of t(c).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -32\/5281?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l. Let b be -18*(1\/2 - 1). Let h(x) = x**2 - 10*x + 9. Let i be h(b). Let c(z) = -z - z + i*z + 4*z. What is r(c(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3a046 (base 12) to base 8\nAnswer: -233266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 351 = 389. Let m = 222 + d. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 14*i - 2. Let s be r(8). Calculate the greatest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 619283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 412\nAnswer: 3\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13452*p**6 + 2*p**5 - 569916*p**2.\nAnswer: -1614240*p**3 + 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s - 2*f + 14, 2*s = -3*f + 5*f - 6. Suppose 63*o + 76 - 115 = 24. Sort -2, -1, s, o.\nAnswer: -2, -1, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 21*k - 1. Let f be a(4). Suppose -n = -m - 180, 3*n = m + 99 + f. Let p = m - -319. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*v + h, 5*h = -v + 24 + 1. Put v, 32, -3 in increasing order.\nAnswer: -3, v, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cpi when three letters picked without replacement from {c: 1, i: 5, p: 4, n: 1, s: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of 2*i**5\/15 + i**4\/24 - 7*i**3\/2 + 26*i. Let s(t) be the second derivative of p(t). Find the first derivative of s(u) wrt u.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 623*q**3 + 1560*q**3 - 197*q**3 - 3*q**2 + 3*q**2.\nAnswer: 1986*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 940 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: Convert 22509.0333us to days.\nAnswer: 0.00000026052121875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6774.\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -73632.918 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-5))\/((-9)\/45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 17, 2\/3, 2\/11?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - 0)\/(6\/(-42)). Let t be (-2)\/7 - (-135)\/g. Solve 0 = -2*i + 8, 0*b - t = -b - 5*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -1\/6  (b) -174\/7  (c) 2\/5  (d) -0.3  (e) 4\/9  (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that n**3\/3 + 86*n**2\/3 + 803*n + 7260 = 0.\nAnswer: -33, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 475, 952, 1429, 1906?\nAnswer: 2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3374*r - 3372*r + 35 = 3*i, -5*i - r + 73 = 32 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 212 divide 315569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/6*(-48)\/216\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -5, 0.3, 5, -25.\nAnswer: -25, -5, -0.4, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10915?\nAnswer: 5, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14688 and 8721?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52 + 14*k**3 - 79 + 142 to the form r*k**3 + w*k + y*k**2 + x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c + 286 - 145 - 141.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-81)\/5 - 1\/(-5). Let m be (-2 - (9\/7 - -1))*-7. Let b = i + m. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, -6\/11, -138, -2\/7, 3 in descending order.\nAnswer: 3, 1\/5, -2\/7, -6\/11, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -12  (c) -2\/39  (d) -0.2  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2098536491 to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 7*k**5 + 12*k - 3. Let a(i) = -6*i**5 - 11*i + 2. Let m(t) = -3*a(t) - 2*b(t). What is the second derivative of m(v) wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 210280.05 months?\nAnswer: 17523.3375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15\/4, -5, -26, -8\/27 in increasing order.\nAnswer: -26, -5, -8\/27, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -0.03?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k - k - 2*k + 213*k**2.\nAnswer: 213*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*a + 2*x = -21, -66*a - x - 28 = -74*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9380 and 2680?\nAnswer: 18760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(-47*b**4 + 64*b**4 + 71*b**4).\nAnswer: -88*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 - (-27 - 30) - 34?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - p = -25. Let o(j) = -6*j**3 - 2*j**2 - 2*j - 1. Let r be o(-1). Suppose -4*v - 31 = -0*i + 5*i, -r*v - i = 23. Put 1, p, v in decreasing order.\nAnswer: 1, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(4\/(-24)*(0 - 6)). Let d(i) = -10 + 10 + 21*i + j. Let u(q) = -q**2. Calculate u(d(x)).\nAnswer: -441*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 2*b + 34234 = 0, 11*b - 12 = 15*b. What is the greatest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 16, 39, 68, 97, 120?\n\"Answer: -i**3 + 9*i**2 + 3*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 - (-5 + 10 - 9). Suppose -3*b = -y - 1, -2*b + 2*y + q = 7. Suppose 5*a - 160 = r - 2*r, b*r - 330 = -5*a. List the prime factors of r.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 5*s - 84 = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s**5\/4 + 9*s**4\/4 - 33*s**3\/4 - 9*s**2\/4 + 15*s\/2 = 0. What is s?\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-45))\/(1778\/104013)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35496728 is divided by 90?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6899?\nAnswer: 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -1\/4*z**5 + 0*z**3 + 1\/4*z + 1\/2*z**4 - 1\/2*z**2 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13923 and 64974?\nAnswer: 194922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qzquzyzqyzzzq. What is prob of picking 2 z and 1 y?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 45 = -55 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(2835)*2)\/(-3*(sqrt(125) + sqrt(125)*1)).\nAnswer: 18*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -94649, -189322, -283995, -378668?\nAnswer: -473341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*-88077.\nAnswer: 616539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 833327 and 55.\nAnswer: 4166635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 11268 divided by -939\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15 + -11. Suppose -v*w - 4 = -3*k + 8*k, k - 2 = 2*w. Is w >= -24\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**2 - q**2 + 255 - 255 + 7*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express o**4 + 3 + 5*o**3 - 7*o**3 - 157*o + 157*o in the form k*o**4 + j*o**2 + s + p*o**3 + c*o and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 95 divided by -73782.\nAnswer: -95\/73782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -2*o**2 + o**2 + 2*o - 10 + 12 + 5. Let q be l(3). Solve -w - q*w = 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 6, -3, -16, 1 in ascending order.\nAnswer: -18, -16, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2*w**3 - 10*w**2 - 12*w. What is the remainder when 351 is divided by h(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1298 - -1293. What is the third biggest value in 5, -21, i?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 61 = -3*q, -4*q = -3*s - 9*q + 24. Suppose 2*k = s*k - 2134. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 2059 = 2*a, -5 = -a + 2*a. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 k when three letters picked without replacement from {k: 17, h: 3}.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of c**3\/6 - 17*c. Let s be x(3). Determine r, given that 2*r**s + 0*r**3 - 4 + 7 + 1 - 6*r = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 7*l - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 10.5*-391.47\nAnswer: -4110.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (-3 + -8) - -4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 116 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5602 is divided by 100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (14550\/2625 + (-4)\/10)*7\/2. Solve 0 = -u*q + 16*q - 10, o = -2*q - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of -127*p**3\/6 - 3*p**2\/2 - 142*p. Let s(z) = -z. Calculate s(b(w)).\nAnswer: 127*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2488916 + 2488915.94599745. Let m = g + 0.054. What is m rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 736551 + 3?\nAnswer: 736554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g - 13*x + 17*x + 65766, 39450 = 3*g - 4*x. What are the prime factors of g?\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -11*v + 11. What is the smallest common multiple of 60 and x(-3)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 207 = -6*o + 3*b, -4*o + 64*b + 25 + 20 = 29*b + 36*b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14117?\nAnswer: 19, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 19745929 less than 19?\nAnswer: -19745910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6\/41, -90, -0.2, 4?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) 203  (c) 121  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -w**2 - 1\/2*w**4 + 0*w - 3\/2*w**3 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -5, 1\/3 in descending order.\nAnswer: 1\/3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/4))**(-2\/49) assuming i is positive.\nAnswer: i**(1\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 3*a - 560. Suppose 4 + 26 = 4*n - 2*u, -4*u + a = 5*n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 73606.39 centuries?\nAnswer: 736063.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 209712*z**5 + 110*z**4 - 52239450*z**2 wrt z?\nAnswer: 12582720*z**2 + 2640*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20884\/1564 + (4 - (4 - -13))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 3 = 0, -192 = -7*f + x - 142 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of 0 + 1\/3*l**3 + 2*l + 0*l**2. Let u(v) be the first derivative of v**2 - 1. Determine p(u(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4244158.\nAnswer: 2, 2122079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 + 0*p**2 + p + p**2 + 2 - 3. Suppose 1 = 2*k + 3. Let z(y) = -y**3 + 2*y**2 + 2*y - 1. Let q = -7579 + 7581. Determine k*z(x) + q*d(x).\nAnswer: 3*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27864 by 648.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 152490\/598*(-2)\/(-30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 3, n: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 2*q - 1439 = 0, -4*q + 0 - 8 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 133 - 14. Calculate the remainder when b is divided by 67.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 191932, 383846, 575760?\nAnswer: 767674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 2\/5, -60, -11, 25, -89, 2 in increasing order.\nAnswer: -89, -60, -11, 0.2, 2\/5, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of 2*a**6\/3 - 25*a**3 - 69*a**2 - 2. What is the derivative of c(r) wrt r?\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 4*n**3 + n**2 + 16*n. Let b(z) = 17*z**3 + 5*z**2 + 67*z. Determine -2*b(o) + 9*j(o).\nAnswer: 2*o**3 - o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -78.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d + 68 = -10*d. Let z = 83 + d. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 479 - 1436\/3. Which is bigger: -20 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1306706 + 2.532.\nAnswer: 1306708.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 529\/5931 or 1?\nAnswer: 529\/5931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) -2.480434  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -z**2 - 4*z**2 + 6*z**2 + 4*z**2 as w*z + l + h*z**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2. Let r(b) = 2*b**2 - 4. Let w(v) = -r(v) + 5*x(v). Is w(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 366 - 209. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39687841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 1 + 55 = 0. Let u = -10 - f. Suppose -3*b = -4*n + 17 + 58, -3*n - u*b + 75 = 0. Solve a + 2*x = -4*a + n, 2*x - 6 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -22*s + 17*s. What is the second derivative of -s*g**3 + 4*g + 5*g**3 + 124*g**3 + 62*g**3 - 41*g wrt g?\nAnswer: 1050*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 4*w - 1, 0 = -5*g + 4*w + 11. Suppose -2*o - 110 = -8*j + g*j, 22 = j - 3*o. Suppose -b + 0*b = -20. What is the least common multiple of j and b?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -39 - -34. Let x = 6 + 14. Is (-2)\/i - (-1332)\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28116, -56569, -85132, -113859, -142804?\nAnswer: -172021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (6 - (-6 + 3)) + 0 + -11 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -227791 and -15053.\nAnswer: -242844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -2*z**3 + 12296*z**2\/7 - 28040*z\/7 + 7008\/7 = 0.\nAnswer: 2\/7, 2, 876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(10\/250*15).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -2.1. Let d = -6 + 6. Let q = k - d. Which is bigger: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 + 3 + -2*(-3 + 4). Factor 9 + k**c - 11*k + k**2 - k**3 + 4*k**2 - 3.\nAnswer: -(k - 3)*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 AM and 6:59 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -198*j - 112950 = 2312*j for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 13*r**2 - 10*r + 4. Let a(j) = j**2 - j + 1. Determine -6*a(m) + p(m).\nAnswer: 7*m**2 - 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000648337 to seven decimal places.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -63036*f**3 - 333486 with respect to f.\nAnswer: -189108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 75 = -5*a, 16 + 48 = 4*c + 3*a. Suppose -c*k = -18*k - 183. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -150562 (base 11) in base 8?\nAnswer: -712661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - 0)\/((-2)\/(-8)). Let d be ((-2)\/4)\/(u\/32). Suppose 8*o = d*o + 132. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 582 and 3168699?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -44 + 49. Suppose 4*s - 14 - 46 = 0. Let u(m) = 2*m**2 + 10*m - 7. Let x be u(-6). Solve s + x = w*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-6))\/(29\/(-450) + (-216)\/2700)\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 39\/(-30) - (-12)\/15. Let p = -25 - -25.5. Suppose 5*k = -3*l - 3, 0 = 5*k - 2*l + 6*l + 4. What is the closest to -0.3 in i, k, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/5*1472\/64)\/((-5)\/25)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1170 and 22?\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 0 - (1 + (-142)\/(-44)) and (-8)\/(7040\/(-12775)) + -5 - (4 - (23 + -28))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4052, 10009, 15966, 21923, 27880, 33837?\nAnswer: 39794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.050803 - 0.11.\nAnswer: -0.059197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + 4*p - 3*p)*(-16*p + 16*p + 8*p**2) + 2*p**3 + 0*p**3 + 0*p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 + 5*o**2 - 7*o - 8. Let y be -8*(21\/12 + -1). Determine f(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 9 = 3*a. Let l(u) = -u**3 - 8*u**2 - 13*u + 1. Is l(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 times 0.7\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 42410000 to the nearest one million.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 254375 and 35705?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 11, 13, -0.05?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.054 times 642\nAnswer: 34.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0\/3 - -3*1. Suppose -b + 2 = -a. Solve 3*r + 3 = 0, h + 3*r + 3 = -b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55411033 is divided by 2927.\nAnswer: 2923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 8 = -l + 2*h, 3*h = -5*l + 32. Let x(c) = -c**2 - l*c**2 + 5*c + 2 - 7*c**2 + 4*c**2. Let i(n) = n**2 - n. Determine -6*i(p) - x(p).\nAnswer: 2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 2 = -5*m, -3*m + 3*c - 51 = -39. Solve g + 1\/2*g**m + 1\/2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/4233 or 10\/7?\nAnswer: 2\/4233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 98 = -73. Suppose -24 = 4*h, -76*h = -3*r - 71*h - 87. Let g = r + q. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 665313.1km in millimeters?\nAnswer: 665313100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 8 = 4*g. Let w(u) = 6*u + 4*u + 3*u**2 - 9*u + 10*u**2. Let n be w(-1). Solve 2*o + n = g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 607 divide 162676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add 10.46757 and 4.\nAnswer: 14.46757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.79 - 0.29. Let l(d) = d**2 - 5*d - 14. Let a be l(8). Let y be (-5)\/a*4\/13. What is the closest to 2 in b, y, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + o = -5, 5*b - 4 - 4 = o. Let q(m) = -m + 4. Let p be q(3). Let v be -1 - p - (b + -3). Solve -5*i + 3*t - 5 = 26, 5*i + 2*t + 21 = v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53696 is divided by 2400?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 5*o = -5*l - 5, -2*o = -4*l - 4. Let q(p) = -p - 1. Let x(r) = -2*r - 14. Let k(s) = l*x(s) + 4*q(s). Let y be 7\/(-2)*(-2 - 0). Determine k(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27\/4 - 25\/4. Which is greater: g or 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 44 - 41. Solve -2 = -p + 2*p + 3*y, 0 = -c*p + 4*y - 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 705071309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139207 = -163*k + 133176 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n. Let m be 2*9\/15*(-5)\/(-2). Let g(o) = 6*o + m*o + 4*o - 4*o. What is -33*d(r) - 4*g(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 80 and 15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 5)*(-24 - 10*s + 24)*(-3*s**2 - s**2 + s**2).\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1  (b) -2  (c) 4  (d) -0.3  (e) 4926\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/19  (b) 0.081043  (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 5\/8 of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4275153 is divided by 2243.\nAnswer: 2238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-9) + 184\/6. Let d be y\/9 - 2\/(-3). Let o be (-1 - -8)\/((-238)\/(-102)). Which is the third biggest value?  (a) d  (b) -2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.5 + 1.1. Let r be 8\/(64\/40) - 7. What is the third smallest value in 1, r, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 + 5*t - 25. Let d be s(5). Let b = d - -102. Is b a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 35*j - 61. Suppose 2*p - 13 = -5*i + 45, -10 = -i - 2*p. What is the units digit of f(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2728532 and 357284.\nAnswer: 1996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -2  (b) 3  (c) 0.4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -74091 - -123681. List the prime factors of l.\nAnswer: 2, 3, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 2*z - 11. Let w be a(5). Let p = 2 + w. Which is smaller: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/3)\/z*z)\/z**(-10) assuming z is positive.\nAnswer: z**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -782310.08 less than -0.2?\nAnswer: 782309.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 7:47 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25\/14 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 5*u**2 - 14*u - 21. Let l(q) = q**2 - q - 1. Let o(n) = f(n) - 2*l(n). Let b be o(-6). Let z = b + -93. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 246 is divided by 77.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 918 and 8588961.\nAnswer: 51533766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1221020002 + 2?\nAnswer: 1221020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 489170840 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 - 10*m - 3. Suppose 16*k - 260 + 84 = 0. Calculate the lowest common multiple of x(k) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -82, -390, -910, -1636, -2562, -3682, -4990, -6480?\n\"Answer: l**3 - 112*l**2 + 21*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, -31, -100, -229, -436, -739, -1156, -1705?\nAnswer: -2404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1525410 - 514?\nAnswer: -1530324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 14*s**3 - 4*s**2 - 620*s - 1. What is n(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ugckscr. Give prob of picking 1 u and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -77*s + 70. Calculate i(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 343874052 and 2214?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -423*o - 492 = -419*o - 44*t, 4*o + 3*t = 25 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -5*r + 25, -r - 19 = o + 4*o. Suppose 2*j - 4*q - 8 = 0, 6 = -6*q + 4*q. Let i = j - o. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (76\/57)\/((-3)\/(-108)*-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 103110235 (base 6) to base 13.\nAnswer: 4c0502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2034 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.78 or -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 17.88?\nAnswer: -13.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -6*q. Let d(x) = -8088*x**2. Determine w(d(p)).\nAnswer: 48528*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x + 9. Let y be (4 + 110\/(-25))*25. Calculate the common denominator of w(y) and -23\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 25 = -0*b - 3*g, 3*g = -5*b + 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h**(-1\/2)*h))\/h)**15)**(2\/39) assuming h is positive.\nAnswer: h**(-5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 5*f + 166 = 3*f, 5*q - 3*f = 210. Suppose -4*i - 3*i = -6*i. Solve i = 34*a - q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6, j: 1, h: 4, a: 4}. Give prob of picking 1 a and 1 j.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -116*c + 225*c - 109*c + 612*c**3 + 2156*c**3 + c**2 in the form k*c**2 + z*c**3 + t*c + w and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 145.78?  (a) -4  (b) -2\/5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2936 and 68076.\nAnswer: 65140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2202 (base 4) in base 11?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004672 rounded to four decimal places?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -5. Suppose -2*i + h + 21 = -2*h, p*i - 2*h - 18 = 0. Let r = i - 4. Solve r = v - 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14333 + -2?\nAnswer: -14335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 4 - 4)*(-6*q**3 + 3*q**3 + 4*q**3).\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f - 2 + 2)*(-13 - 11 - 8 + (2 - 2 - 1)*(5 - 1 + 0))*(9 - 9 + f).\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 25 divided by -43971\nAnswer: -25\/43971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 117 - 92. Suppose -v*n = -30*n + 15. Let m(u) = -2*u + 0*u**2 - u**2 + u**2 + u**2 - 2. What is m(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -988, -0.01, 0.1511.\nAnswer: -988, -0.01, 0.1511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 + 10.3. Let g = 1.31 + r. Let q = -0.19 - g. What is the nearest to -1 in 0.5, 6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j - 8*j + 57*j.\nAnswer: 47*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/94435257 and 5\/125913676.\nAnswer: 377741028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 - -21.1. Let m = t + -21.1. Which is the biggest value?  (a) -0.01  (b) m  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 3) + 10 + 10 + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 k when four letters picked without replacement from {k: 2, p: 17}.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 83 + (107 - (-144942)\/(-765))\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -495 = -4*a - z + 170, -3*a - z + 498 = 0. Do a and 167 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - -105746?\nAnswer: 105746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 376, 528, 680, 832, 984?\nAnswer: 1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1783438 and 206126?\nAnswer: 41019074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32.87 - 0.13. Let x = -32.12 - o. Round x to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -2*i**2 - 416*i + 2144. What is p(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 85 - -23. Suppose -5*l + d = -22. What is l rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -206 (base 14) to base 9.\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h = -5*h - w + 16, -31 = 3*h + 4*w. Sort 94, h, 3 in increasing order.\nAnswer: h, 3, 94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 47 + -16. Let z = 54 - r. Suppose 0 = -5*p + 36 - 6. Calculate the remainder when z is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**2 - r**2 - 4*r**2)*(r**3 - 2*r**3 + 0*r**3) + (-r + r + 5*r**5)*(0 - 1 + 4) - 3*r**3 + 3*r**3 - r**5.\nAnswer: 15*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/178494 and -137\/4462350.\nAnswer: 4462350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4091*m**2 + 2044*m**2 + 2056*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + i - 133 = 0. What is the remainder when i is divided by 64*(378\/56)\/9?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 14 - 6. Suppose -s*g = 3*g - 20. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 8591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 - 10. Let u(x) = -15*x + 12. Let l be u(1). Let z = n - l. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x + x - 2*x)*(2756 - 2756 + 518*x).\nAnswer: 518*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27205 is divided by 27189.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that s**2\/5 + 94*s\/5 + 984\/5 = 0.\nAnswer: -82, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4042362161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 PM and 12:01 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19.13 + -19. Let j = k + 0.02. Let d = 0.25 - j. Which is the nearest to d?  (a) -5  (b) 2  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -9*t - 15. Let b(p) = -p. Let i(l) = -12*b(l) + s(l). Let r be i(10). Solve 0 = n + 4*m - 16, -n - 5*m + 6 = -r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 147245.\nAnswer: 5, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/1258741 and 95\/88?\nAnswer: 10069928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*(-6)\/(-15))\/(((-21)\/(-20))\/(-21))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 9 - 31 = 0. Let r(v) = -v**3 + 8*v**2 + 3. Let s be r(8). Let m = s + o. What is the remainder when 31 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3469153 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -16883400, -33766808, -50650214, -67533618, -84417020, -101300420, -118183818?\n\"Answer: n**2 - 16883411*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 18*x - 55. Let a be (24\/96)\/((-2)\/(-88)). What are the prime factors of r(a)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6706\/(-10) + -3 + (-12)\/(-20). Let u = -628 - t. Solve 0 + u = -9*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*d - 3*h - 43, 2*d = -584*h + 583*h + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 21, 1, 1\/2, 0.3, -0.5 in descending order.\nAnswer: 21, 1, 1\/2, 0.3, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 165 and 6105.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7\/12 - -17\/36. Let z = -0.2 + 0. What is the smallest value in -0.3, z, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b = 3*b. Which is smaller: -2\/51 or b?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 6 = 4*m - 39, 0 = 4*n + 20. Suppose 0 = 6*o - 11*o. Sort o, m, 13 in ascending order.\nAnswer: o, m, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 - 17. Which is the nearest to -0.1?  (a) h  (b) -2\/7  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of 83\/6*z**4 + 0*z**5 + 0*z**3 - 38\/7*z**7 + 0*z**6 + 0*z**2 + 0 - 27*z. Find the third derivative of v(c) wrt c.\nAnswer: -13680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 - x**2 + x + 14. Give s(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-78)\/(-30) - 4\/(-10). Let z = g + -3. What is the units digit of 9\/(-3) + z + 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 174 and 157812026.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5086139315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-2))\/((-4)\/(-8)) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from tczctcfzfzztcct.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**5 + 719*c**4.\nAnswer: c**4*(c + 719)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 12:20 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, 4\/5, 1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -16697, -33368, -50039, -66710, -83381?\n\"Answer: -16671*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 803, -7, 5, 117 in decreasing order.\nAnswer: 803, 117, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-50976)\/1008)\/((-57)\/532*4)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112*l + 11*l - 169 = 437 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10684, 10688, 10694, 10702?\nAnswer: 10712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*d - 4104 = -96*d - 36*d - 68*d for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 100110110 (base 2) to base 6\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 28 = -2*v + 48, 4*c - 108 = -4*v. Suppose c = 3*b - 5. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.14 + 0.07. Let t = o + 0.06992. Round t to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*f, -5*z + 364 = -5*f + 6*f. Let m be z\/9 - -2 - (6 + -2). Solve 3*x - 10 = 4*b + 1, 2*b + m = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7 - 9*c**4 - 17 - c**4 + 0*c**4 wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 2*x**2\/3 + 328692901*x\/6 + 27391075\/2 = 0.\nAnswer: -82173225, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 5*m = -5*m. Suppose -4*p + 29 = 5. Let s be (-1)\/(-4) + (-66)\/(-24). Solve m*k - p = -s*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1335*f**3 - 1330*f**3 + 4054*f**3 - 1298*f**3.\nAnswer: 91*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65554256 is divided by 492889?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6cdd8 (base 14) to base 13.\nAnswer: -941c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 24853739 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 2*h + h + 100, 2*h + 48 = 2*k. Let z be k\/33 + (-34)\/51. Let y = z - -5\/33. Which is the second biggest value?  (a) 0.5  (b) -5  (c) y  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = 3*s - 39 + 54, -4*t - 2*s = 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 70600452.3 to the nearest 100000.\nAnswer: 70600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0.481, -27859 in decreasing order.\nAnswer: 0.481, -3, -27859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 4663726 + 2236319. Let n be b\/(-12) - (-9)\/12. Round n to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**1)**(-3\/17)\/((a\/((a*a*a**(-7))\/a))\/((a\/(a\/a**(5\/6)*a)*a)\/a)) assuming a is positive.\nAnswer: a**(-749\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -4*n + 39. Let m be c(14). Let t = -17 - m. Solve 5*w = -t*d + 5*d + 40, w + 12 = -4*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 19 = 21. Let p(u) = -5*u - 2. Let t(n) = n + 3*n + 1 + 3*n - 5*n. Give o*t(f) + 3*p(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.57482 times 0.1286?\nAnswer: -0.073921852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 PM and 1:17 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 2 + 2. What is the third derivative of -o**2 - 8*o**5 - o**j + 11*o**2 wrt o?\nAnswer: -480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229 = 1161*h + 1150*h - 2296*h + 4 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 15*k + 111 = 179. Sort k, -5, 3, -46.\nAnswer: -46, -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 - 8*w. Suppose -3*p + 2*h = -5*p + 24, -5*p + 3*h = -36. Does 9 divide l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 39 - (2 + 2\/(-2)). Let t(v) = 3*v - 211 + 582 - 196 + 10*v. Let d be t(7). Calculate the highest common divisor of g and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**1)**(-7)\/(d\/d**1*d*d**1)*((d*d\/(d\/(d*d**3\/d)))\/d**0)\/(d**1\/(d*d**(-1\/10))) assuming d is positive.\nAnswer: d**(-51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rkcremmk. What is prob of picking 1 c, 1 m, 1 r, and 1 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 6*o - 3*o - 3*x, 3*o - 3 = -3*x. Suppose o = -v + h + h + 21, -3*v + 52 = 5*h. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/13, -2\/5, -1\/159?\nAnswer: -1\/159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3456.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 + 15*d**2 - 24*d - 49. Calculate t(10).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/(-4))\/(5\/(-230)). Let x = d + -16. Let u = 4 - 5. Which is greater: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -4*s + 12, -2*s + 22390 = -4*v. Suppose -9022 = 3*u - 934. Let p = u - v. Round p to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, b: 16}. Give prob of sequence bbmm.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, e: 2, p: 2, u: 1}. Give prob of sequence bp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108207 is divided by 323.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 4*n - 41. Let s be d(11). Find the second derivative of 251*a + 10*a**s - 259*a + 23*a**3 wrt a.\nAnswer: 198*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 71 - 1067\/15. What is the biggest value in -2, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 15 + 4)*(3 - 4 + 3)*(2*k - 3*k + 2*k)*(-89*k**2 + 20*k**2 + 0*k**2).\nAnswer: 1104*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1353 bigger than -1381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 257998, 515984, 773970?\n\"Answer: 257986*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (-11)\/(-4))\/(16\/(-64))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.01, 7\/5, -31600?\nAnswer: -31600","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 64.1658 millilitres?\nAnswer: 0.0641658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -5*x - 2. Let r(h) = -4*h - 2. Suppose -l = -0 - 3. Let s be (429\/(-9))\/(-11) + 2\/l. What is s*f(y) - 6*r(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 1\/4, -0.18, 0.6, -2\/11?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -278*r + 283*r + 40 = 0, -1330852 = -4*f + r. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 16 = 7*p - 4*k, -5*p - 20 = 5*k. Let a = 8 - 3. Solve f = -0*f + 4*z - 15, p = a*f + z + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -186.741 take away -61561.923?\nAnswer: 61375.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 + -13. Let x = a + 2. Suppose x*p - 24 = -4. Solve 3*l + 3*y = 0, -5*l - p*y + 3*y + 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -2*z + 3. Let n be z*4\/21*-3. Let u = 80 + -45. Solve 0 = 3*i - 5*x + u, 3*i - n*x = -5*x - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -9*x**3 + x**2 + 4*x + 2. Let t(y) = 3*y**2 - 81*y + 329. Let i be t(22). Calculate u(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -11*u. Let w(t) = 64*t**2. Determine h(w(c)).\nAnswer: -704*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -5582508, -5582501, -5582490, -5582475, -5582456, -5582433?\n\"Answer: 2*z**2 + z - 5582511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 18389317103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*f**2*o**2 - 1119*f**2 - 137*f*o**3 wrt o.\nAnswer: 6*f**2*o - 411*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -195, -1055, -3391, -7935, -15419?\nAnswer: -26575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -135 - -293. Suppose z = d - 5*g, -4*g = 5*d - 9*g - 810. Suppose 4*x - d - 9 = 0. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/470 and -123\/340.\nAnswer: 15980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13663*s**2 - 645*s**2 - 18347*s**2 - 8870*s**2 + 2317*s**2.\nAnswer: -39208*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3c4 + 0?\nAnswer: -3c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 122067.5358 rounded to the nearest 10?\nAnswer: 122070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = -6*z + 11*z. Suppose c - 6*c + z = 0. What is the remainder when 10 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 778 - 774 + 4*g + 0*g**2. What are the prime factors of q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 2*m**2 - m - 1. Give p(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-23)\/10)\/(7 + 31\/(-4)) - (3677 + -3674)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**3 + 0*u**3 - u**3)*(286 - 171 + 175 + 632).\nAnswer: -4610*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - -3513?\nAnswer: 3510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -75222.8 to the nearest one thousand.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3342855961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0*1\/(-2))\/(-1). Solve -v = -5*s + 30, -s + 3*v + 20 = -k*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 312133 is divided by 6641.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 17*w - 7. Let i = 9 + 11. Let j(p) = i + 21 + 8*p - 44. Calculate 6*g(b) - 13*j(b).\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4\/3, 1\/8, -0.4, 2\/411, 12, -0.5, 0.19?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 d when four letters picked without replacement from {j: 2, h: 2, d: 2, e: 8}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1140\/38*(-1)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6.602 - -0.298. Let q = k + -7.9. Which is the nearest to 1?  (a) -3\/7  (b) q  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*i - 42*i - 44*i in the form n*i + s and give n.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4529060444?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d + 7. Let x be w(-5). Let s be 2\/12*x\/8. Let m = 13 - 15. Which is the closest to m?  (a) s  (b) 0.3  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n + 9. What is d(-14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2656929419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -52*m**4 - 4*m**3 + 28*m**2 + 3?\nAnswer: -1248*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 3*u - 1 = 0. Let f be (-19 + u)*(3 + -7). Let b = f + -47. What is the highest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -108492 divided by 6\nAnswer: -18082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.43 + -0.992. Which is greater: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*s = -23*s + 30 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(500) - 3*(sqrt(500) + sqrt(500) + sqrt(500) + -1)) + -4)*6)**2 - ((sqrt(120)*1)\/sqrt(12))\/(-6*(sqrt(2) - sqrt(2)*2)).\nAnswer: 34559*sqrt(5)\/6 + 1152036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -3 + sqrt(272))**2.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4141085 = -5*r - 3*z, -533694 = -r + 4*z + 294546. Round r to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 4*i - 96. Let p(m) = 5 + i*m - 4 + 0 - 2. What is the remainder when p(1) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2372*g**2 - 33201*g + 102. Determine d(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-416)\/(-780))\/(12\/765)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.36 and -475.\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 114763 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*u - 5*u = 88 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12691 divided by -343.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of 1\/12*y**4 + 0 - 23\/20*y**5 - y - 23\/20*y**6 + 0*y**3 - 25*y**2. What is the third derivative of o(p) wrt p?\nAnswer: -828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 + (-3)\/1 + -6. Let f be (1 + 0)*1\/(-1) + 11. Let q(z) = z + 2. Let y be q(-4). Put o, f, y in descending order.\nAnswer: f, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -1107*x**2 - 1661*x + 6. What is r(-2)?\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -11*g + 9. Let m(u) = 17*u - 14. Let q(r) = -5*m(r) - 8*y(r). Let x(d) = -3 + d - d + 5*d. Calculate 8*q(s) - 5*x(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6 + 1.1?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/36)\/(1\/(-3))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 18604096.2us?\nAnswer: 0.0002153251875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 + 3*v**3 + v**4 + 3*v**2 + 7*v - 13*v**3 + v**3 + 8*v**3 + 3*v**3 in the form z + u*v**4 + m*v**3 + s*v**2 + n*v and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -15 + 623?\nAnswer: 60d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*i**5 - 6409244*i**3 - 146797*i**2 + 406 wrt i?\nAnswer: -1020*i**2 - 38455464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3348016 and 336.\nAnswer: 10044048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 432940178 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: What is 11560964 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 4*b**3 - 84*b**2 + 480*b - 400 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*a**2 - 47687424*a**3 + 0*a**2 + 47686910*a**3.\nAnswer: -514*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -31?  (a) 5  (b) 0.1  (c) 1\/2  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of -69*n**5\/5 + n**4\/4 + 16*n**3\/3 - 4*n - 138. What is the third derivative of u(h) wrt h?\nAnswer: -1656*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - -399?\nAnswer: 3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 3 = -8. Let o = -9 - d. Solve z = -3*b - 20, 2 - 12 = o*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 24*o**2. Let s(k) = 3*k**3 - 18*k**2 + 5*k - 7. Let c be s(6). Let a(v) = 60 - 37 + 5*v - c. Determine a(l(j)).\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -156*a**2 + 1386*a + 1737. Give y(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/217 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 - 256*f + 16418. Determine p(97).\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**2 + 2*n**2 - 2*n**2 + 14*n**2 - 15*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of 339 and -14111532.\nAnswer: -14111193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*d*s**2*y**3*z - 2*d*s*y**3*z - 2*d*z + 3*s**2*y**3 + 2*s**2*y**2 - 2*s*y**3*z - 12*s*y wrt s?\nAnswer: -8*d*y**3*z + 6*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 67.2 + -74. Let x = 7.15 - 0.15. Let i = g + x. What is the closest to 1\/2 in i, -3\/2, 3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 4*v**2 - 342*v - 132. Give w(12).\nAnswer: -3660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -143*z + 3436. Let n be t(24). Solve h - 19 = n*m, 2*h - 25*m - 18 = -22*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i - 2*i - 11*i)*(107*i - 50*i - 46*i + 1).\nAnswer: -187*i**2 - 17*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7608 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of 1\/48*z**4 + 0*z**2 - 1\/12*z**3 + 1\/40*z**5 - 1\/120*z**6 - 16*z + 0. Suppose m(o) = 0. What is o?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 3 - 4 - (0 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2185.591 - 2183. Let y = 0.409 + z. Let o = 12 - 6. What is the second smallest value in -1\/4, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5223.07 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*((-15)\/(-6) + 0 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -7*r**2 - 6*r - 166. Let s(c) = -c**2 - 2*c - 1. Determine -3*s(p) + u(p).\nAnswer: -4*p**2 - 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 2414316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -i + 9. Calculate the lowest common multiple of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7037, 7051, 7065, 7079?\nAnswer: 7093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 16297, 16034, 15771, 15508, 15245, 14982?\n\"Answer: -263*n + 16560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, d: 1}. What is prob of sequence dk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 79. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70468?\nAnswer: 2, 79, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 9*b**3 - 2*b + 150. Let g(z) = 4*z**3 - z + 75. What is -7*g(q) + 3*t(q)?\nAnswer: -q**3 + q - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 197949675.\nAnswer: 3, 5, 7, 11, 151, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9589.\nAnswer: 43, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of -m**5\/60 + m**3\/3 - 13*m**2 - 50. Let k(r) be the third derivative of i(r). Let h(x) = 63*x. Determine k(h(p)).\nAnswer: -126*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 89*m + 2 + 69*m**3 - 38*m - 4 + 252*m**3 wrt m.\nAnswer: 1926*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 642.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*-2*sqrt(104) - 1*(sqrt(104) - 1*sqrt(104)))*-6)\/((sqrt(128)*2*5 - sqrt(128) - sqrt(128))*4) + -2.\nAnswer: -2 + 3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -h**4\/4 - 4*h**3\/3 - 3*h**2\/2 - 5*h - 2. Let a(d) = -9*d - 247. Let g be a(-27). Calculate j(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 165 - 159. Let d be 1\/3 - 14\/(-3). Suppose d*f - r*f = -8. Calculate the greatest common divisor of f and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1984571892 and 7236?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-1\/13)*o)**(-14) assuming o is positive.\nAnswer: o**(-350\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2509*j**2 - 22*j + 57. Let q(x) = 10036*x**2 - 89*x + 233. Let i(s) = -2*q(s) + 9*r(s). Find the second derivative of i(f) wrt f.\nAnswer: 5018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14.1 + -0.1. Let v = o + -10. Let j = -0.29 + 0.59. What is the biggest value in v, 15, j?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - v**2. Let n be ((-1 - -3) + -2)\/1. Let x be b(n). Suppose -4*k + 0*d + 3*d = -154, -5*d - 10 = x. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 49 + -22. Let d be 2\/9 + (-114)\/o. Is d greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 + 2*m**2 - m**2 + 5*m**2 - m**2 - 3*m**2 + (2*m + 2*m - 5*m)*(-6*m + 4*m + m) - 3 + 3 + 2*m**2 + 0 - m**2 + 2 - 3)*(0*m**2 + 4*m**2 - m**2).\nAnswer: 12*m**4 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5059998 divided by 6.\nAnswer: -843333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2\/3 - 1918*u\/3 - 1280.\nAnswer: (u - 1920)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -190*c - 20 = -185*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 415428 and 6.\nAnswer: 415428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from {h: 1, m: 4, w: 2, x: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 12, q: 3, n: 1, f: 4}. Give prob of sequence ofq.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3044 - 3627 = -7*j + 3822. What are the prime factors of j?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10.725 - 12.725. Which is the smallest value?  (a) u  (b) -1  (c) -2\/19  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(88) + 1*sqrt(88) - sqrt(88)))\/(sqrt(80)\/(sqrt(60)\/sqrt(6))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -28 (base 11) to base 3\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 12066530 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 5*a**2. Let f(i) = -1892*i + 172. Let h(z) = -90*z + 8. Let t(g) = -2*f(g) + 43*h(g). Calculate x(t(b)).\nAnswer: 36980*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(10))\/sqrt(2) + (-2*sqrt(40))\/sqrt(8) + -2 + (sqrt(320) + (sqrt(320) - (sqrt(320) + -1)) + 3 + sqrt(320) - sqrt(320)) + -4 + sqrt(320) + 0.\nAnswer: -2 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/127776 and -19\/18366.\nAnswer: 391122336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b**3 - 14*b**2 - 4077*b + 32473. Calculate g(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-17)\/(-12))*((-6)\/21)\/((-150)\/350).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1086804 to the nearest integer?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -4*n - 23, 0*n + 1 = u + n. Suppose -p + 4*p = u*t - 6, -46 = -5*t - 4*p. Suppose 138 = t*r - 426. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 19*q + 4. Let m be w(4). Suppose 3*s - m = 142. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**5\/3 + 12*y**4 + 32*y**3 + 92*y**2\/3 + 10*y.\nAnswer: 2*y*(y + 1)**3*(y + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 51455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 1)*(-18 + 18 - 53*q**2)*(-4*q + 4*q + q**2).\nAnswer: 212*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 1446*m - 8689. Determine h(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l - 5*l + l)*(0*l**3 + 5*l**3 - 4*l**3) + 530*l**3 - l**2 + 47*l**4 - 2*l - 530*l**3.\nAnswer: 44*l**4 - l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17687 - 98\/14 - -16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - 2) + 2 - (-2 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in nineteen quarters of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffhhhfffhff. Give prob of sequence hhh.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105*j**2 - 982*j**2 - 574*j**2.\nAnswer: -1451*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 198 - 121. Suppose i*k = 75*k. Solve 3*w + 6 - 15 = k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 19818 and 9.\nAnswer: 19818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -3509?\nAnswer: 3509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 2:04 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 65 = -3*l + 7*l, 0 = l - 3*b - 12. Let s be l*8\/(-12)*15\/(-6). What is the highest common factor of 35 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e7 + -1?\nAnswer: e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 8:46 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 + 28*g - 95. Let q be m(24). Let h(n) = 7 + 225*n + 4*n - 3 + 3. What are the prime factors of h(q)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 3 v when four letters picked without replacement from {q: 3, l: 4, j: 1, b: 4, n: 2, v: 3}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 977?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25707 - 25644. What is the greatest common divisor of 5397 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:35 PM and 12:13 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 9*o - 9. Let d be v(1). Let i be (1 - 1) + (-46 - 1). Let b = -142\/3 - i. Which is bigger: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 4*d - 24 = 0, -2*d + 166 - 168 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/38)\/((-38)\/361)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -90*x + 25. Is q(-1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**2 - 9. Let w(h) = -2*h + 40. Let l be w(7). Let u = l + -20. Let g(i) = -4*i**2 - u*i**2 + 6*i**2 + 5*i**2. What is m(g(r))?\nAnswer: -2*r**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 - b - 3. Let d be h(-2). Suppose d*n = -1 + 4. Find the first derivative of 2 - 1 - n + 2*v**3 + 4 wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -c**3*z - 4*c**2*z + 4*c*z - 273*z with respect to c.\nAnswer: -3*c**2*z - 8*c*z + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 88892513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3437.77 + -2715\nAnswer: 722.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 55 - 0?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 90 and 135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 7130159, 28520627, 64171407, 114082499, 178253903?\n\"Answer: 7130156*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 572074 and 1676.\nAnswer: 479398012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 29 - 11. What is the lowest common multiple of 14 and c?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41062, -744, 2 in decreasing order.\nAnswer: 2, -744, -41062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from drrddrddrr. What is prob of sequence rd?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 14*52.23\nAnswer: 731.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (24540\/(-1175))\/(-4) + -5 and 41\/10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = f + 160, -160 = -2*f + 3*f + 3*c. Calculate the remainder when 57 is divided by (11\/4)\/((-20)\/f) - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.1 - 0.2. Suppose -2*s + 4 = -o + 12, -o = 2*s + 8. Let m be ((-3)\/(-2))\/((-1)\/(-2)). Sort d, o, m.\nAnswer: d, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppppyppyjxxjpx. What is prob of sequence yjxj?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 92\/423 - -42\/47. Find the common denominator of w and 39\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 6*-1*sqrt(5))**2 + 1*(5 + sqrt(80))**2.\nAnswer: -20*sqrt(5) + 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7\/170 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -253*108\/(-66)*(-728)\/3276?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -19*d**2. Let o(z) = 63*z - 60. Let m(g) = -62*g + 61. Let t(k) = -6*m(k) - 5*o(k). Let r(n) = 7*n - 8. Let u(w) = -33*r(w) + 4*t(w). Give u(h(b)).\nAnswer: 57*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 32561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**5 - 6*o**4 + 12*o**3 - 10*o**2 + 3*o.\nAnswer: o*(o - 3)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 - 5*x**2 + x + 22. Let k be u(-4). Suppose -5*r - 3*q = -17, q - 14 = -2*r - k*q. Sort r, -5, 4, -4 in descending order.\nAnswer: 4, r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 3*m**2 - 6. Let u(c) = 6*c**2 - 11. Let h(d) = -6*u(d) + 11*z(d). Let f(n) = 15*n**2. Determine f(h(i)).\nAnswer: 135*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + d + o - 69 = 0, 2*d + 3*o + 89 = 0. Sort -3, d, 4.\nAnswer: d, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, f: 2, d: 6, x: 2, c: 4, q: 1}. What is prob of picking 2 f, 1 d, and 1 x?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - d = -20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (1148\/10660)\/((-2605)\/521 - 3\/(15\/(-26)))?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 136 and 646415.\nAnswer: 87912440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4*((-37)\/4 + (51 - 43))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -314 + -235?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2\/11)\/(b**8\/b))\/((b**(-5\/4)*b)\/b**10))**(-1) assuming b is positive.\nAnswer: b**(-135\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 2*c**3 + 3*c)*(-380*c + 45654 - 45654 + (c - 2 + 2)*(-1 + 5 - 3) + 2*c - 5*c + 2*c).\nAnswer: -760*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 43659828 to the power of 1\/2, to the nearest integer?\nAnswer: 6608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -21 and -0.03.\nAnswer: -21.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*m**2 + 99 - 99 - m**2 - 2*m + 2*m - 5 + 5 + m**2 + (-m + m - 2*m)*(3*m - 2*m - 2*m) + 0*m**2 - 2*m**2 + m**2 - m**2 + 4*m**2 - m**2 - 2 - m**2 + 2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 4. Let j be m\/(((-6)\/2)\/3). Suppose j = 2*a - 13 - 11. What is the greatest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 - -55. Suppose -5 = -t + 5*d + l, -3*t + 300 = 3*d. Let r be -2 - -1 - (-105)\/t. Which is the second smallest value?  (a) 5  (b) 1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -40 + 46. Suppose 2*l + c - 14 = 0. Suppose 106 = -5*m + 3*w - 43, 0 = l*w - 12. Do -28 and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 618852911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36)\/(sqrt(12)*3) + sqrt(3))*-5 - (-5 + -2*sqrt(3))*-1)**2.\nAnswer: 260*sqrt(3)\/3 + 751\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -3*d**2 - 90. Let p(c) = -120*c + 38*c + 38*c + 47*c. Determine v(p(o)).\nAnswer: -27*o**2 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = t + 6. Which is the third biggest value?  (a) 5  (b) t  (c) 10\/7  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 9 + 2 - 6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7778\/13911 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -822 divided by -6\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -213643, -425443, -637243, -849043, -1060843, -1272643?\n\"Answer: -211800*j - 1843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*b - 16 = -46*b, -b - 22436 = -4*s. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -23 in 8\/3, -4, 69?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m + 7. Let y(k) = k - 7. Suppose -4*v - 9 = 3. Let f(t) = v*y(t) - 2*n(t). Let d be f(-3). Put -0.1, 1, d in ascending order.\nAnswer: -0.1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 216250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -978.72 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 224553080 a multiple of 2180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 2*x + 2*h + 24, 2*x - 3*h - 14 = 0. Suppose 0 = -2*a - 5*t + 32, 0*a + x*t = -5*a + 46. Is 8 a factor of ((-48)\/10)\/(a\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 PM and 7:13 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, f: 3, y: 1, g: 3}. Give prob of picking 3 f.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 3 + m**3 + 5 to the form j*m**2 + x*m + g + c*m**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/38 and 91\/3217818.\nAnswer: 61138542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b**3 - 14*b**2 - 123*b + 891. Give i(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -4*p - 1233 - 319, 5*w + p - 2602 = 0. Is w a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5*a = -59 + 196, -2*a + 130 = 4*y. Let x = 29 + 35. What is the remainder when x is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-1*sqrt(2) - sqrt(2)) + sqrt(2))*-1 + 5 + 3.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 2:16 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 890 and 410.\nAnswer: 36490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-336.8584.\nAnswer: -1684.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**3 + 1844*g**2 - 46352*g - 215040 = 0. What is g?\nAnswer: -4, 30, 896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*s + 14*s**2 + 7*s**2 - 7*s**2.\nAnswer: 14*s**2 - 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x**(2\/11))\/x**3)\/(x\/(x*x**(-8))*(x\/(x**(2\/19)*x))\/x) assuming x is positive.\nAnswer: x**(-1612\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/(-6)*(-108)\/36. Suppose 0 = -j*m - l + 1723, -2*m + 7*m - 2*l - 2170 = 0. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-41)\/(2378\/(-261)))\/(2\/(-12)) - 12\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6161*q + 6198*q = -407. Sort 5, -9, 4, q in ascending order.\nAnswer: q, -9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 184492 + -64756756\/351. What is the common denominator of 2\/1833 and i?\nAnswer: 16497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1043323 + -2?\nAnswer: 1043321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 7:31 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 539 and 124817.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 + 33 = 4*v - 3*s, -3*s - 21 = -v. Let u be v\/108 - (-68)\/18. Suppose -12 = u*g - 4. Is g greater than or equal to 2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 62.15 - 0.15. Let z = -58 + r. Put 2, 0.3, z in ascending order.\nAnswer: 0.3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110021101112122 (base 3) to base 16.\nAnswer: -638786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-17)\/(-5) - (-6)\/(-15). Let b be -12*4\/(-8) - k. Is 9 a factor of (b - (18 - -3))\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q + 38 = -2*k, -3*q + 2*k - 157 = -180 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*p - 11*p - 9*p + 3*p + 2*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 + 3*t - 2. Suppose -128 = -22*m - 18. Let z(b) = b. Calculate m*z(x) - w(x).\nAnswer: -x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -76*w + 34*w - 39*w**2 + 16*w + 7*w in the form d*w**2 + z*w + y and give d.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l**3 + 47*l**2 - 17. Let i(h) = -16*h**2 - 698 + 4*h**3 + 704 - 3*h**3. Determine 17*i(j) + 6*m(j).\nAnswer: -j**3 + 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 899 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 30288934 minus -2?\nAnswer: 30288936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**3 - w**3 + 3*w**3)*(2*w - w - 7*w)*(-2 + 5 - 6)*(w + 0*w - 3*w).\nAnswer: -36*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 60\/(-8) + 6 - (1050\/12 + -3). Sort 7, 3, h in descending order.\nAnswer: 7, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/7, -0.22, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -52 - -98. Suppose 0 = 12*g - 50 - y. Solve -4*c = 2*z - 10, 0 = 4*z + c + g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 9*n**3 - 363*n**2 - 11*n - 22. Let l(s) = -3*s**3 + 121*s**2 + 4*s + 8. Give -11*l(g) - 4*z(g).\nAnswer: -3*g**3 + 121*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 - 3 - 4*q)*(-3*q + 0*q - 4*q).\nAnswer: 28*q**2 + 35*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-19 + 399408*i - 399408*i + 27*i**3)*(1 - 1 + 2*i) as q*i**2 + c*i**4 + z*i + s + o*i**3 and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1214315 + -783102. Let l(u) = -16 - 53481*u + o*u + 259766*u. Let a be l(-8). What is a rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {u: 2, o: 2, p: 1, f: 1, i: 1, h: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of 1 + 1\/6*w**3 - 33*w + 1\/2*w**2. What is l(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, 1, 5466, 13 in ascending order.\nAnswer: 1, 13, 21, 5466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z**3 - 2*z**2 + 2*z**2 + 7*z**3.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3060 divided by -2684?\nAnswer: 765\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 + -27002?\nAnswer: -27000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 198482 less than 167\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 20*u**2 + 2 - 2*u**2 + 109*u**2 to o*u**2 + b + h*u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/((o*o**(-2\/21))\/o)*o)\/o*o*o*o**(4\/7)*o)**(3\/8)\/((o**1*o)**(2\/65)\/((o\/(o*o**1\/o*o))\/(o*o\/o**(-3)*o))) assuming o is positive.\nAnswer: o**(-2567\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/168)\/(((-270)\/20)\/(-27)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1645 is divided by 138?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 7 - 6*l**2 - 7 - 2*l)*(-18*l**2 + 15*l**3 + 18*l**2).\nAnswer: -90*l**5 - 30*l**4 + 45*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48445 + 9170 = -2383*u - 48549 - 1071 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of y**5\/15 + 5*y**4\/2 - 32*y**3\/3 - 2*y**2 + 10*y. Solve p(f) = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1035 + 1035 - 19*s)*(8*s + 5*s - 6*s).\nAnswer: -133*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1320 and 2723270.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7\/12 + 13\/60. What is the fourth biggest value in 5, 6, 2, -0.86, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -332303608 divided by -14\nAnswer: 23735972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -537 divided by 427\nAnswer: -537\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 17*f**2*w**2 - 117*f**2 + 2*f*w**2 - 12*f*w wrt w?\nAnswer: 34*f**2*w + 4*f*w - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p**7\/p*p\/p**(-5)*(p*p*(p*p*p**(2\/5)*p)\/p)**(2\/9)*p**(1\/8)\/p**(-1)*(p**(-1\/2))**(-21) assuming p is positive.\nAnswer: p**(9217\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/(-1)*(-12 - 735\/(-60)). Suppose y = 5*o + 2*c - 2797, 2*o - 5*c = 994 + 119. Is o a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3341509 - 2*c**3 - 3341514 - 6*c**3 + c**2 - 15*c as b*c**2 + r*c + x + n*c**3 and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v**2 + 8245*v + 141610 = 0 for v.\nAnswer: -17, 1666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10 + 2341403?\nAnswer: 2341353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 + 22. Let q(o) = 6 - 3*o**2 + 6*o + o - 9*o + o**u. Let t be q(3). Solve t = 3*x - 2*j - 10, 4 = -2*j - 0*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-h**2 + 0*h + 0*h - h**4)*(-5 + 5 - 13 + (2 + 4 - 5)*(-4 + 6 + 2)) to p*h + s + y*h**2 + u*h**3 + f*h**4 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8 + 14\/(2730\/(-11105)) + 14\/6. Is j at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - 0. Which is smaller: x or 0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 7\/(5 + 272\/(-56)). Solve -17*f + p + 19 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*m + 12*j = -84, 4*m - 6*j - 47 = -2*j - 11 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 3*u - 10 + 5 + 5*u**2 - u**3 - u. Let t be 18\/4 + (-1)\/(-2). What is the units digit of n(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 956366.8 tonnes to grams.\nAnswer: 956366800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (((-8)\/6)\/(-2))\/((-4)\/(-12)). What are the prime factors of 2930\/15 + l\/(-6)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75697891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -539 divided by -6\nAnswer: 539\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -254985, -59 in descending order.\nAnswer: 0.5, -59, -254985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/((-32890)\/1140) - (740\/(-220) - -3)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 2806 = 2*a + 2786 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from noooonon. What is prob of picking 2 o?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.5, 4, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 832, 2311, 4776, 8227?\n\"Answer: 493*d**2 + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 5*p - s, -3*p - 2*s = -7*p + 36. What is the smallest common multiple of p and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 AM and 4:05 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 33*f**2*x - 54*f*x**2 - f + 2252*x**2 wrt f.\nAnswer: 66*f*x - 54*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -p**2 + 3*p**4 - p + 0*p - 2*p**4 - 6*p**4 to v + d*p**4 + k*p**2 + y*p**3 + f*p and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9.2 - 1.4. Let c = 10.5925 + j. What is c rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 10*b**2 + 120*b. Let y(m) = 2*m**2 + m. Determine n(g) - 4*y(g).\nAnswer: 2*g**2 + 116*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -211 by -20.\nAnswer: 211\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -13317023.9 rounded to the nearest ten thousand?\nAnswer: -13320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 16) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*c**2 + 18*c**3 + c**3 - 7*c**2.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 20 = 2*u, -p - 5 = 5956*u - 5957*u for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/15 and 4\/11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2184 (base 11) to base 6\nAnswer: -21151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 - 12. Let a = l + -229. Let g = 236.9 + a. What is g rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-14)\/(-6))\/(1\/18). Suppose -4*q - 3*j + 109 = 0, q = 2*q + 5*j - 23. What is the greatest common divisor of q and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 121 = 4*u + 1, 0 = 4*u + 2*g - 126. Suppose m = -2*m + u. Suppose -8*k = -m*k. Solve 0*i + 3*i - 12 = k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 127 divide 12992481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of -2*s + 0*s**2 + 0 - 1\/3*s**3. Let b(q) = -4*q**2. What is p(b(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 78*p. Let i(b) = 13*b**2. Calculate s(i(u)).\nAnswer: 1014*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -54 + -90 + 101 + -42\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.1 + 2.9. Let f be 3*1706*(-7)\/98. Let x = f + 365. Put x, y, 2\/7 in decreasing order.\nAnswer: 2\/7, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 44 = -13*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from umxlmnt. What is prob of sequence mx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8, 142, 1.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 42746413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/110 and 23\/154.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (6*(-1*sqrt(192)*-3 + sqrt(192))*-3)**2.\nAnswer: 995325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8.11 + 8.05. Let h be ((-3)\/(-10))\/((-6)\/5). Sort -4\/5, h, f.\nAnswer: -4\/5, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (347492 - 7*g - 347492 - 684*g**2)*(-g**3 - g + g) + g - g**5 - g.\nAnswer: 683*g**5 + 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -27073 divided by 1\nAnswer: -27073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in -1, 1\/5, -0.057, 1, 0.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = -11 + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {n: 1, j: 2, z: 1, v: 9}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 83121 and 1797.\nAnswer: 49789479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-4)\/(-8)*(-9 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 AM and 1:09 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -3*w - 8, j = -4*w - 18 + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4913 - -4918. Let i(w) be the second derivative of 1\/2*w**4 - w**3 + 1\/20*w**g + 0 + 1\/2*w**2 - 2*w. Determine i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 288 - 19876?\nAnswer: -19588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = 5*t - 55. Let g be 40\/25*t\/2. Find the first derivative of 2 - 8 - 10*b**2 - g - 3 wrt b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 428, 1629, 3632, 6437?\n\"Answer: 401*x**2 - 2*x + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11641\/8 - -1459. Calculate the common denominator of q and 23\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 + 6*y**2 + 6*y + 5. Let p be f(5). What are the prime factors of (-4)\/((-12)\/3)*p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 35 + -27. Factor -4*u**5 + m*u**2 - 2*u**3 + 6*u**5 + 0*u**2 - 2*u**4 - 6*u**2.\nAnswer: 2*u**2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 269681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 160 and 5710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -189 + 2837\/15. Let f be (-4)\/(-12) + 10\/6. Let z be -1*(-1)\/4*f. Which is the second biggest value?  (a) z  (b) h  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29751696*m**5 + 30*m**2 + 308915*m wrt m.\nAnswer: -1785101760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3640*y**4 + 129344*y wrt y.\nAnswer: 43680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 + 10*j - 12. Suppose 0*x = -x + 8. Let b be c(x). Find the second derivative of 2*g**4 - 4*g**4 + g + 0*g**b wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*x - 118 + 0*x - 4*x - x.\nAnswer: 2*x - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*v - 1. Let i = -1399 - -1398.3. Let u be ((-4)\/(-7))\/(6\/7). What is the third biggest value in u, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 6*b - 1008. Let u = 149 + b. Calculate the remainder when 119 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1089 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 315 - 222. What is the remainder when k is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*g - 10*g**3 - 6*g**3 + 0*g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 374 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 113958, 113535, 113112, 112689?\nAnswer: 112266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 + 10*u**2 + 22*u - 18. What is the hundreds digit of c(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 + -14. Suppose 5*f = a + 5864, -2*a + 2 = -p*a. Suppose 5*m - n - f = 0, 0 = 3*m - 4*m - 3*n + 241. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 1)*(-3*r - 4*r + 6*r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*z - 62*z + 15*z)*(-5*z**2 + z**2 + 3*z**2)*(-z + 5 - 5).\nAnswer: -33*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-4) - 45\/30. Let r be (-6)\/189*(-2 + l). Sort 13, r, 1\/7 in decreasing order.\nAnswer: 13, 1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33133, -5, -7, 0, 49.\nAnswer: -33133, -7, -5, 0, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33 + 55. What is the highest common factor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**16)**(-17\/4)*(d*d**(-14))\/(d*d**(-6\/7)\/d))**(5\/13) assuming d is positive.\nAnswer: d**(-2805\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10491.4 - -10490. Put z, 2\/5, -0.07, -5 in descending order.\nAnswer: 2\/5, -0.07, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7147192, -7147206, -7147220, -7147234, -7147248?\nAnswer: -7147262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of -17*d**4\/12 - 11*d**3\/6 - 4*d + 3. Let m(y) be the first derivative of i(y). What is the second derivative of m(x) wrt x?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -2.71, -1\/17, 5?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = 2*l + 79. Calculate the least common multiple of (l\/6)\/((-23)\/69) and 2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7648395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 462 + -473 + 53 + (0 - -2)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -101\/259 + 25\/37. Find t, given that -1\/7*t**2 - 3\/7*t - d = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111221222000 (base 3) in base 15?\nAnswer: -56656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 205707866 bigger than 205707874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 74401.4 millimeters?\nAnswer: 74.4014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4035 and 17216?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = a + 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w**4 - 12*w**3 + 22*w**2 + 108*w - 117 = 0 for w.\nAnswer: -13, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 11:36 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -84654 divided by -22\nAnswer: 42327\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (5 - -12)\/(4\/264*3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1525830787.3 rounded to the nearest 100000?\nAnswer: 1525800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - 2*m + 13. What is r(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(5*sqrt(6)\/sqrt(2) + sqrt(9)\/(sqrt(3)*3) + -4 + -4).\nAnswer: -16*sqrt(3)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*q = 26*q + 100. Let m be (30\/q)\/((-6)\/15). Solve 5*d + 9 = i, 18 = -d + m*d + 5*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2742 (base 8) to base 5\nAnswer: 22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/3)\/((6\/45)\/(18\/15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(612) + 0 + 5))**2*-1 + (1*((sqrt(68) - sqrt(68)*-1 - sqrt(68)) + sqrt(68)) + sqrt(68))\/((sqrt(4) - sqrt(64))*-3) + -1.\nAnswer: -22933 - 6479*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/9 - 34\/(-6). Let f be (-45)\/(-10)*j\/9 + -1. Suppose -2*k - k + 3 = 0. Are f and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 37 = v, 3*v + 6 = -j - 90. Let s = 94\/3 + v. Which is the smallest value?  (a) 2\/11  (b) -0.7  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 67103656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Is 1200 greater than or equal to 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-59 - (24 - 27)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4801 - -111?\nAnswer: -46d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(35) - 4*sqrt(70)\/sqrt(2)) + (sqrt(3500) - 3*sqrt(3500)))\/((sqrt(5) - sqrt(405)*1) + sqrt(5) - sqrt(5) - sqrt(180)))**2.\nAnswer: 529\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/63?  (a) -2\/7  (b) -3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from htartthrhhhhhg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*m + 15*m - 4*m + 16*m in the form z + q*m and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 659 - 638. Let m = 1328.1 - 1307.1304. Let q = m - l. What is q rounded to three decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of w**3 - 10*w**2 - 16*w + 317. Let q(x) = 4*x**2 - 29*x - 23. Let b(i) = -7*l(i) + 5*q(i). What is b(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*w = 8*w + 975 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 316 and 112654.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -80923.2 rounded to the nearest 100?\nAnswer: -80900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 0 + (sqrt(80)*1)\/sqrt(10) - (2*(1 + sqrt(200)) + (sqrt(200) + 2)*-4)**2.\nAnswer: -834 - 238*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8128210*x**3 - 26790780*x?\nAnswer: -48769260*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1010 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, a: 6, z: 8}. What is prob of sequence zza?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -45 - -34 - (0 - (3 + -2 + -11)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -152125 divided by 5?\nAnswer: -30425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i. Let k(b) = -59*b - 17. Calculate c(k(v)).\nAnswer: -59*v - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 10 = -3*r, 0 = -2*r + 710 - 720 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/9 - 98\/(-126). Let o be (-28)\/(-42)*(n + 0). Factor -1\/3*q + 7\/3*q**3 + 0 + 4\/3*q**4 + o*q**2.\nAnswer: q*(q + 1)**2*(4*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133521 less than or equal to 3204517\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 5, j: 5}. Give prob of sequence sjs.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-3 - 1) + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 - 6*b**2 + b - 3. Let f be v(5). Let j = f - -23. Suppose -3*u = 2*y - 69, -u + 2*y + j*y + 15 = 0. 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 -5*n - 39 = -99. Calculate the remainder when n is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 50 + 22. Let a(d) = -2*d + 3. Let y be a(2). Calculate the common denominator of y\/4 - (-59)\/i and 35\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rfltfl. Give prob of picking 2 f and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 14\/53  (b) -3  (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -11*b**2 - 2*b - 3. Let x(q) = -10*q**2 - 2*q - 3. Let g(l) = 5*f(l) - 6*x(l). Let j be g(-1). Solve -2*d + j*d = -16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + 10 + (0 + 0 - (-7 - (45 - 21)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - -6 - (-3 + (-1 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -122, -204, -338, -524, -762, -1052?\nAnswer: -1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -5*g**2 + 8*g**2 - 69*g**3 + 68*g**3 + 7*g**2 - 24. Calculate k(10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 262 = 2*s + 268, -k = 2*s - 677. What is the remainder when k is divided by 322?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3924 is divided by 48.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.196 - 0.086. Let q = b - 0.1. Let t = q - 0.11. What is the nearest to 4\/5 in 5\/6, t, -1\/4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -14, -10, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the third derivative of p**6\/120 - p**5\/60 - 5*p**4\/24 - 7*p**3\/6 - 14*p**2. Let f be m(6). Calculate the highest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 342 and 260262.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -227 = 4*n - 0*n - 3*u, -5*n - 285 = -4*u. Let q = n - -54. Let j be (q\/(-4))\/(1\/(-4)). Solve -j = -4*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17401741*y**4 - 19024978*y wrt y.\nAnswer: -208820892*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 473208, 947034, 1420856, 1894674, 2368488, 2842298?\nAnswer: 3316104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -3*z**3 + z**2 + 5*z - 1. Let x be r(-5). Suppose -5*y + x = 17*y. Solve -y*k + 12*k + 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2d1a (base 16) in base 6?\nAnswer: 125242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 40494.01 seconds in microseconds?\nAnswer: 40494010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -17898 in 1, 3\/2, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - -2. Suppose 0 = -z*j + 15. Suppose 35 = -0*a + j*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.239 and 4?\nAnswer: -0.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -237 + 132. Let w be (-46)\/z + 118\/885. What is the closest to -3\/2 in w, 0.2, -12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2*b = 4*m - 90330942, 4*m - 120441257 = -3*b. Suppose 0 = -5*o + 6610312 - m. Round o to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 - 135340*p - 27710296.\nAnswer: -4*(p + 206)*(p + 33629)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.43712075 rounded to 2 dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-39)\/52)\/((-2)\/(-3)*(-4374)\/(-864))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 8*x - 3. Give w(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, 46, 75, 100, 121, 138, 151?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pdj when three letters picked without replacement from {d: 1, q: 1, v: 11, p: 1, j: 2}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 14*n**2 + 20*n. What is the lowest common multiple of 18 and a(-6)?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 + -41. Let d be -68*-2*(-32)\/256. Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 221 (base 5) to base 7\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-2 + 10 + -1 - -2) - (-44 + 5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 - 20.1. Let i = d + -1.9. What is the biggest value in -3, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2870, 7, -3, 0 in decreasing order.\nAnswer: 7, 0, -3, -2870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 + 34*q + 143. Let l be g(-31). Suppose l = -20*y + 30*y. Solve 4*s + f = -15, 3*f + y = -4*s - 0*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/((-51520)\/7590)*8\/3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0174 minus 1136824239.549?\nAnswer: -1136824239.5664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -5*i + 21. Suppose 3 = i*j - 21. Solve -2*o - j = p - 0, 2*o + 3*p + 4 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 7*t**2 - 4*t - 8. Suppose -2*w + 0 = 14. Let v be j(w). Let a = v - -3. Solve a + 2 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 4.5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(-5) - 30\/105. Put 0.05, -1\/15, t in increasing order.\nAnswer: t, -1\/15, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes before 6:06 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.8555 - -0.2295. Let d = v + -0.085. Which is the closest to d?  (a) 0  (b) 4  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-10))\/(4986\/(-1385))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.3 + -1.6. Suppose t = -2*j - 0*t, -3*j = 4*t. Which is the second smallest value?  (a) -1  (b) f  (c) 3\/7  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-234)\/78 - -69*1. What is the greatest common divisor of b and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 451 divide 6425970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 5*r + 148 = -97, r = -p + 50. Let u be -4*1\/(-10) + (-12)\/p. What is the biggest value in 0, -9\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/14*(-25)\/((-100)\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 798997 = -338735. Let t be (-2)\/(-5) + -1 + g\/96220. Let i = 30\/283 - t. Find the common denominator of 19\/4 and i.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 4\/19, -2, 0.5, -0.05, -183, -169?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7081 and 1168?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 7*f + 280. Let x be 4*((-5)\/8)\/(4\/(-16)). What is the common denominator of f\/(-24) - x\/5 and 93\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.782 minus -0.033?\nAnswer: 0.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39764?\nAnswer: 2, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13331038 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 7*s**2 - 10*s - 8. Let q be 2\/(-8) + 4\/(80\/(-155)). List the prime factors of x(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ejoe when four letters picked without replacement from {e: 5, o: 1, j: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22070, -88260, -198572, -353006?\nAnswer: -551562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 7. Suppose 5*j = 2*o + 3*o - 15, 5 = -f*j - o. Does 25 divide (11 + 400)*(-1)\/6*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -24*p**2 - 13*p + 12 - 7*p**2 + 20*p**2 + 3*p**3. Is m(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*h = 54*h. Suppose h = -6*i - 21 + 99. Let j(w) = 8*w. What is the remainder when j(6) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-2)*-1 - 1. Let m = -795.15 + 92.85. Let w = m - -702. Which is the fourth smallest value?  (a) z  (b) -5  (c) w  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1294517763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -414073075 divided by 5.\nAnswer: -82814615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15268349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -146 - 4542540?\nAnswer: -4543016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 163, 698, 2171, 5050, 9803, 16898, 26803?\nAnswer: 39986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -65, -78, -97, -122, -153, -190?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 80\/(-72) - (0 + 3) - 0 and 43\/51.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 4*v + 4. Let q(c) be the second derivative of c**3\/6 - c**2\/2 - 57*c. Determine 4*q(g) + t(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 295 + 4872. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f**2 - f + 5. Let x(j) = -j**2 - j + 4. Suppose -3*k + 20 = 2*k. Give k*h(u) - 5*x(u).\nAnswer: -3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -141223 - -988601\/7. Factor n**2 - r*n - 12\/7.\nAnswer: (n - 6)*(7*n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -47, 1, -3, 5 in descending order.\nAnswer: 12, 5, 1, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of -l**6\/120 + l**5\/15 - l**4\/6 - l**3\/3 - 219*l**2. Calculate d(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -253*x - 279 + 875 + 163 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 48 * -0.66544.\nAnswer: -31.94112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21 - -52. What is the remainder when (-1026)\/(-9) + (-6)\/(-1) is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 - 229*p**2 - 5566*p - 22639. What is t(-202)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**3 + 872*s**2 + 19564*s + 50952.\nAnswer: 4*(s + 3)*(s + 22)*(s + 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of -w**4\/3 + 4*w**3\/3 + 11*w**2. Let k(h) = 7*h - 7. Determine -7*k(f) - 6*z(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 16 = 32. Let y be (-4)\/10 - 604\/(-10). Suppose -x + 0*x + y = 0. What is the highest common factor of x and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 19097980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 26*p**2 - 34*p - 57. Let a be l(25). Let q = a - -578. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 0*x = -x + 13, 3*r - 2*x = 9. Suppose 0 = 5*p - 15 + r. Suppose 1 = -2*b - 1, p*n - b - 31 = 0. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h**(-2\/11)*h)\/h)\/(h\/h**(-2)))**(-23))**20 assuming h is positive.\nAnswer: h**(16100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 5  (b) 0  (c) -2\/9  (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) 1  (c) 2.8  (d) -273  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 2*t - 146, 4*t = -5*u + 464 - 186. Let a be 68\/(-18) - 16\/t. Let r(d) = 2*d + 5. Let b be r(-5). Sort b, a, 3 in decreasing order.\nAnswer: 3, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 6 = -j, -158*k - 4*j + 27 = -153*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 119800\/(-3594)*6\/5.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + (-5 - 1) - (-7 + -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/9938938 and -51\/3364.\nAnswer: 19877876","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-41533)\/984 - -43) + (-2)\/(-48). Factor 5\/6*w**3 - y - 5\/6*w + 5\/6*w**2.\nAnswer: 5*(w - 1)*(w + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -15  (c) 3  (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29\/58*14\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of 8*c - 6*c**3 + 1\/15*c**5 + 1\/6*c**4 + 1\/180*c**6 + 0*c**2 + 0. Let d(t) be the second derivative of r(t). What is d(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-83 - -2) + 0\/(-2). Let x be 1\/6 - 10101\/126. Which is bigger: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1131 is divided by 66.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 189*a**4*q - a**3*q**2 + a - 8*q**2 - 2 wrt a?\nAnswer: 2268*a**2*q - 6*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 + 12. Let k(l) = l**2 + 5*l + 3. Let d be k(-3). Let j(p) = -2*p + 10. Let v be j(7). Sort v, d, o.\nAnswer: v, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y. Let o(f) = 161*f**2. Calculate o(z(u)).\nAnswer: 161*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 3*q + 10 = n, 0 = -2*q + 2*n + 12. What is the third derivative of 8*l**6 - q*l**2 + 5*l**2 + 45*l**6 + l - 4*l**2 - 2*l**3 wrt l?\nAnswer: 6360*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -7*a - 13. Let d be 8 + -5 + -3 + 72. Let q be (-16)\/d + -3 + (-166)\/(-18). Let m(f) = 4*f + 7. What is q*s(y) + 11*m(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g. Let d = 9 + -4. Let q(u) = -6*u**2 + 4*u + u - d*u. What is y(q(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -296*u**3 - 67*u**3 - 110*u**3.\nAnswer: -473*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-98)*7*1*7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes before 3:35 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z + 4*h + 225, 0 = 3*z - 5*z + 2*h - 72. Let f = -40 - z. Let s = f + -1. Which is greater: s or 5\/23?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**3\/7 - 98619*m**2\/7 + 98622*m\/7.\nAnswer: -3*m*(m - 1)*(m + 32874)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 3  (b) 0.4  (c) -21  (d) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -24, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 7*h**2 + 11*h + 11. Let x(s) = -2*s**2 - 3*s - 3. Let b(j) = -6*m(j) - 22*x(j). Let a(g) = 2*g. Determine a(b(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 37319279*n**4 + 7074215*n?\nAnswer: 447831348*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -61 - ((-35 - -46) + -34).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 11*t**2 - 7*t + 12. Suppose 4*o = -0*o - 4, 5*o - 19 = 2*z. Give j(z).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d = -20*d. Let z = -0.09 - -0.05. Let w = 0.96 - z. What is the third smallest value in w, d, -0.06?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 3 w when four letters picked without replacement from {w: 2, s: 1, i: 1, x: 6, c: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 168805000 = -62*a + 49*a. Round a to the nearest 100000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s**3\/9 + 1253840*s**2\/3 + 5015368*s\/3 + 15046112\/9 = 0. What is s?\nAnswer: -2, 1880764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-3 + sqrt(243) + 0)**2.\nAnswer: -108*sqrt(3) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 240771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j - 14. Let q be p(26). Calculate the highest common factor of q and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -6*q - 21. Let g(u) = 5*u + 20. Give 4*g(c) + 3*y(c).\nAnswer: 2*c + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -121 (base 4) to base 2.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 251241 is divided by 2886.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 84*y + 761. Let t be p(-9). Solve t*h + 15*q = 14*q - 16, 5*h + 8 = -3*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55 times 0.4\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 7, o: 5, l: 4, z: 2, k: 1, u: 1}. Give prob of sequence lok.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -3*b**2 + 5*b + 3. Let y(m) = m**3 + m**2 - 1. Suppose p + 2 = 3*p. Let d(j) = p*i(j) + 3*y(j). What is the second derivative of d(a) wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 PM and 4:04 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 - 7*a**2 - 8*a - 1. Let b be v(8). Let x = 0.56 + -0.46. What is the nearest to b in 0.08, x, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-8))\/(-3) + 20\/(-32).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*g - 72 + 68 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -3*g**2 + 226*g - 2729. Determine a(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by 343.\nAnswer: 8\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3036026 (base 7) to base 11.\nAnswer: 228169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.3 - -0.8. Suppose -7*x = -3*x - 12. Suppose 4*v - 1 - 3 = -3*m, -x*m = v + 8. What is the smallest value in m, -0.4, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 - 12*m**2 + 20*m + 8. Suppose -5*v + 27 + 3 = 0. What is the lowest common multiple of z(10) and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 189510000 to the nearest 1000000.\nAnswer: 190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.192694 - -103532650\nAnswer: 103532650.192694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1140 divided by -2?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/4*(-48)\/(-72).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 86460 and 1.87?\nAnswer: 161680.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1761*h - 4770 - 724 = 1895*h for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8726766 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, r: 4, n: 6}. Give prob of picking 1 r and 2 n.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -26, -40, -56, -68, -70, -56, -20, 44?\n\"Answer: n**3 - 7*n**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -63, -167, -311, -501, -743?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**4 - y**4 + 0*y**4 + 31*y**4 + 59*y**4 + 36*y**4 + 0*y - 3*y**4 + 0*y + (y + y**2 - y)*(-3*y**2 + 3*y**2 + y**2) + 2*y**4 + 0*y**4 - 4*y**4.\nAnswer: 123*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -197 * 1.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*q**2 - 2*q**2 - 2*q**2)*(-2 + 1 - 3 + (1 - 1 + 2)*(0 + 0 + 1) - 1 + 0 + 0)*(-1 + 1 + 3).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, m: 1, k: 2, q: 2, j: 3, f: 3}. Give prob of picking 2 q and 1 m.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6027 + -6005. Solve 4*k - 2*b + 3 = 15, f = 3*k + 5*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 13*c. Suppose 4*o - 4 = 3*o. Suppose 0 = -o*w + w - 5*i - 22, 0 = 4*w + i + 1. Let s be g(w). Calculate the greatest common factor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-2\/7))**(1\/8)*(m**0)**(-1\/2)*(m**6*(m*m\/(m\/m**(-1\/3)))\/m*m)\/(m**(-2\/7)*m)**(-49) assuming m is positive.\nAnswer: m**(7015\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 964, 965, 966, 967?\n\"Answer: r + 963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1912689*a**3\/5 - 14640438*a**2\/5 - 4058912*a - 7852416\/5.\nAnswer: -(a + 6)*(1383*a + 1144)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, y: 2, x: 1, k: 4, c: 3}. Give prob of sequence cy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/(-14))\/(1\/3). Let n be (2\/(-10))\/((-12)\/(-15) - 0). What is the third smallest value in n, l, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3397 (base 14) to base 2\nAnswer: -10001011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 44 = 9*d. Suppose -d*i = -5*a + 136, -5*i - 135 = -9*a + 4*a. What is the highest common factor of 224 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(1*-6)*(19 - 9). Suppose 3*h - 5*n = 8, 2*h = -0*h - a*n - 3. Solve 3*f = 2*f - h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.09  (b) -3  (c) 120\/7  (d) -2  (e) -3084  (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.9 + 8.1. Let m = 7 - t. Let h = 1 + m. What is the third smallest value in -3, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.9042659 months in years?\nAnswer: 0.158688825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 185751.5mm?\nAnswer: 185751500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5060 - 5030. Which is the third smallest value?  (a) 0  (b) 0.4  (c) -3  (d) t  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 + 3*z**2 - 3*z + 5. Suppose -2*h - 1 = -5. Suppose 0*a + 4*l = -h*a - 52, a - 3*l + 11 = 0. Let w be a\/6*(-18)\/(-15). Give y(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 265 is divided by 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-22)\/6 + 1 - 8\/(-12). What is the smallest value in 2\/17, f, -17, -0.5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (92\/(-322))\/(292\/28)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/11 - 310*a\/11 - 912\/11.\nAnswer: -2*(a + 3)*(a + 152)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 3619.\nAnswer: -7238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 804.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70131 + 135794 = 4442*y - 200857 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 119 + -233\/2. Which is smaller: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1516)\/(-44) - (-7840)\/(-224).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93 = 4*b - o, -5*b - 38*o + 6 = -8*b - 2*b for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*c**2 - 59*c**2 - 483*c**2 - 7*c - 384*c**2.\nAnswer: -930*c**2 - 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange y + 0*y - 3*y - 86*y + 42*y + 34*y + (-1 + 0 - 1)*(4*y - 4*y - 2*y) to the form p + n*y and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 263809*x - 263872*x = -756 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, h: 1, p: 4, x: 7, k: 2}. Give prob of picking 2 k, 1 x, and 1 b.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - 1. Which is the second biggest value?  (a) w  (b) -1\/5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/k**21*k**27*k**(-2\/21)\/((k\/(k*k\/(k**(-8\/3)*k*k)))\/k) assuming k is positive.\nAnswer: k**(67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-2)*16*28\/(-672)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -3*d**3 - 4*d**2 - d - 3. Let s be v(-3). Calculate the common denominator of 11\/3 and 1 - (-5)\/(s\/64).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 431, 807, 1175, 1535?\nAnswer: 1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -866 + 991.46. Let k = u - 129. What is k rounded to 1 dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*9\/6 - -1. Suppose -43 = -4*x + 2*j + 61, -d*x - 5*j = -118. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 AM and 10:20 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/27)\/(-2*(-2)\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 206 divide 568072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -57*r - 68. Give o(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -2) + (39 - 22) - (2 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 7*u - 9. Let h(g) = -8*g + 10. Let d(w) = -3*w**3 + 63*w**2 - 64*w + 73. Let f be d(20). What is f*n(k) - 6*h(k)?\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 28  (c) 0.2  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28302)\/(-51887))\/(((-4)\/(-66))\/(-2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 + 8*v**2 + 23*v + 13. Let k = -2 + 4. Let j be -3 + (19 - k) + -4. Is 16 a factor of y(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1608197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -24424593, -48849188, -73273785, -97698384, -122122985, -146547588, -170972193?\n\"Answer: -t**2 - 24424592*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -7*c - 45. What is the remainder when 83 is divided by p(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1722655\/201 or 8569?\nAnswer: 1722655\/201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10893116837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -88 - 33602909116\nAnswer: -33602909204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 898 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 14  (b) -21934  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52284408 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/6 + ((-24)\/18 - -1). Let u be 539\/3 - (-5)\/(15\/y). Suppose l = h - u, -9 = 3*l - 0*l. Is 44 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47 - -51. Suppose 2*n = 6, -s + 5 = 4*n - g. What is the units digit of 67 + -2 - 4\/(-1 + s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 2 = 3*h. Let p be 0 + 2 + (-6)\/h. Let i be (-2)\/p + (-2 - -2). Solve -i*b = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -4*l + 2*k, 9*l - 7*l = 4*k - 8 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 3, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 18 = 7*a - 2*a, -a - 5*g = 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2738 + 2808. Calculate the remainder when 230 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 16 = -0. Suppose 0 = -4*t - q + 13, -u*q = 2*t - 3*q - 5. Suppose 95 = 5*m + t*i, m + 2*i + 3*i = 40. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in eighteen fifths of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 219 - 1309\/6. What is the nearest to -1 in -3, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (350\/75)\/(2\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 28, 47, 70, 103, 152, 223, 322, 455?\n\"Answer: z**3 - 4*z**2 + 24*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4678 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -107*z - 4. Let i(g) = 51*g + 2. Determine -5*i(l) - 2*n(l).\nAnswer: -41*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1971292 divided by 146?\nAnswer: 13502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14318019 is divided by 7702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/2 of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/64 + -26 + 22539\/880?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 5648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20 + -16. Suppose k + c*n + 15 = -15, -8 = 4*n. Let z be (10\/(-4))\/(11\/k). Solve z*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/27*3)\/(4\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/4)\/((-1)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -39*c**2 + 469*c - 47. Give s(12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3*h**2 + 6 - h**2 + (h - 2 + 2)*(2*h - 1 + 1) - 2*h - h**2 + 2*h)*(5 + 10 - 7).\nAnswer: 24*h**2 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-8))\/(44\/14432*41).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -5, 0.2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((5 - (-4 - -9))\/2)\/(-2). Solve t = -3*j - 3, -a + 2*a + 2 = -4*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = c + 2341*p - 2346*p, 2*c + 26 = 3*p for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44849 is divided by 2039.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of -17.41 and -1732830761.\nAnswer: -1732830778.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 4*f - 14 = 0, -m - 4*f - 2 = -3*m. Let u be 105198\/(-2)*(m + -4). Suppose 0 = -5*a + u + 17631807. What is a rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 4*h**2 - 2 - h**3 + 1 - 6*h + 10*h**3 + 3*h**3. Is b(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 17*c - 9*c - 15*c. Let x(v) = 2*v. What is d(x(h))?\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, 103, 256, 469, 736?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29388 + -29319. Calculate the remainder when 11313 is divided by m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of 19*q**8\/336 - q**5\/30 - 28*q**2. Find the third derivative of h(g) wrt g.\nAnswer: 1140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7*y**3 + 1\/7 - 3\/7*y**2 + 0*y.\nAnswer: -(y + 1)**2*(2*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -6*(sqrt(192) + 2))**2.\nAnswer: 1536*sqrt(3) + 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 33*g - 12*g - 13*g + 12*g**2 + 13. Let p be r(-4). Let i = 88 + p. Calculate the remainder when i is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 114 and 24380610?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(6\/7))**(-7) assuming s is positive.\nAnswer: s**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 20 = 3*q, -x = 4*q - 2*x - 20. Let m(k) = -k**3 + 8*k**2 - 5. Let p be m(8). Let v = p - -5. Solve 2*j + 4 = v, 0*j = 4*y + q*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u + 4835. Let w(y) = 7. Give l(b) + w(b).\nAnswer: b + 4842","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -15, 6, -17, -2 in decreasing order.\nAnswer: 6, 0, -2, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00008757 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 735489491 to the power of 1\/2, to the nearest integer?\nAnswer: 27120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 + w**2 - 333*w - 10. What is t(17)?\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 72 = -2*p, -7*v + 3*v - 103 = -3*p. Let g = p - 37. Solve -2\/3*c - 1\/3*c**2 + g = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 714649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 5*-2.619\nAnswer: -13.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 4203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.27 - 0.2212. Let s = 4.1088 - i. Round s to one decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/40 and -37\/21490.\nAnswer: 85960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r. Let f(h) be the third derivative of -3*h**5\/10 - 19*h**3\/3 - 4*h**2 + 452*h - 2. What is v(f(s))?\nAnswer: 36*s**2 + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -214475, -214538, -214633, -214760, -214919?\nAnswer: -215110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 + 50*b. Let f(j) = -5*j. Give g(f(p)).\nAnswer: -25*p**2 - 250*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of -1\/6*b**3 + 0 - 2*b + 0*b**2. Let h(t) be the third derivative of -t**4\/12 - 17*t**2. Calculate r(h(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3273057 (base 8) to base 2.\nAnswer: 11010111011000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 + (-51 - 23 - -89)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of 1232*r**5\/5 + 3*r**2\/2 - 6571*r + 5699. Find the first derivative of x(i) wrt i.\nAnswer: 4928*i**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12*d**2*j + 2*d**2 + 2*d*j**2 + d*j + 421819*d - 2648*j**2 wrt j.\nAnswer: 12*d**2 + 4*d*j + d - 5296*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 179, 361, 543?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-266)\/8 + 0)*(5 - 1). Let v = h - -189. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4504833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -5\/2, 0, 278.5, -2 in increasing order.\nAnswer: -5\/2, -2, 0, 2\/5, 278.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -4495949800 to the nearest 1000000.\nAnswer: -4496000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1300044 and -0.1.\nAnswer: -130004.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 445444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2879703?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from {e: 6, w: 1, b: 6, q: 2, v: 3, x: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*i - 10, -b - 15 = -3*b - 28*i + 33*i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -782 - -1227. What is the remainder when t is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round 1.103 to two dps.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 times 39?\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 7*w + 1. Let t(u) = -3*u - 1. Let p(c) = 2*g(c) + 5*t(c). Let a(f) = -f - 4. Let q be a(-6). Suppose q*y - 4*y = 0. What is p(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -5, -45\/4, 14987?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 98014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8401 or 8398?\nAnswer: 8401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 3 = 0, -41*n + 45 = -46*n - 5*g for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 132*p**2 - 20*p - 3. List the prime factors of v(-3).\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 256 - 253. Let d be (22\/20 + -1)*4. Let y = 3 - 1. Which is the nearest to d?  (a) y  (b) -4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.3 - 2.6. Let p = d - -0.2906. Round p to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, t: 1, h: 1, v: 5}. What is prob of picking 1 t and 2 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 56 = 3*l. Let z = l + -9. Factor 2*q**5 - 2*q**3 - 4*q**4 - 2*q**z - 2*q**5.\nAnswer: -2*q**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -40, 85, 292, 581, 952?\n\"Answer: 41*c**2 + 2*c - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(((-3)\/(-5))\/3). Let j be (-3 + 1)\/(((-16)\/(-18))\/(-4)). Suppose 4*l = q - 12, 4*q - j*q + 5*l = -15. Solve d = 3*a - q*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8948822 divided by -4474411?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4099289*h**2*q + h**2 + 1918*h + 30 wrt q.\nAnswer: -4099289*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 154581170 to the power of 1\/3, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 3:52 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 7*w**2 + 10*w - 11. Let p be o(8). Let h be -2 - p - (-5 - -1). Is (1 + 2)*(-14)\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of 5\/24*v**4 - v**2 + 0 + 7\/2*v**3 + 0*v. Let i be o(-4). Solve 3*k - 4*x - i = 2, 1 = k + 2*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -597 - -1595. What are the prime factors of q?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-8)*u*(u*u*(u*u**1)\/u)\/u*(u\/u**(-3\/2))**(-2\/95))**(-2\/135) assuming u is positive.\nAnswer: u**(64\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34263 divided by 11421.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2*t - 13678 = t, 0 = -5*y - t + 22800. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 43346 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 8120971 = 1150359. Let j = q - 3554266. Round j to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of f**5\/5 - 3*f**4\/4 + f**3 - f**2\/2 + 5. Let a(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -9*u**2. Let v(t) = 8*t + 4. What is l(v(j))?\nAnswer: -576*j**2 - 576*j - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -151468, -151417, -151342, -151243, -151120, -150973?\n\"Answer: 12*h**2 + 15*h - 151495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-2720)\/(-260))\/(-34))\/(24\/52)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -509 - -514. Differentiate -8 - 78*m - w - 4 + 3 wrt m.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrrrpkk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3.730105 millennia?\nAnswer: 373.0105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 2*d = 12, -41 = 5*g - 17*d + 13*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*f + 36000 = -17*f. Calculate the highest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*d - 6*d - 7*d)*(6 - 3 - 2) - 11*d + 27 - 27 + (-1 + 0 - 4)*(-d - 3 + 3) in the form b + f*d and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -5420769 + -53095\nAnswer: -5473864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 2*p + 5, 7*p = -3*o + 6*p + 13. Calculate the smallest common multiple of 13 and o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/17730 and 7\/13371375.\nAnswer: 80228250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 73 + -190. Let l = 122.254 + -0.254. Let f = l + y. What is the second smallest value in f, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 141?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15540 - 15493. Solve o + 8 = 4*g, -51*g + 8 = -m*g + 4*o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1035 = -12*s + 1077. Suppose -5*u - 4*x - 116 = -3*u, 3*u + 4*x = -s. Let k = -46 - u. Calculate the remainder when 38 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*0.19948.\nAnswer: -0.09974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 31467*a**2 + 125869*a\/2 + 1 = 0?\nAnswer: -2, -1\/62934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 284*q - 346. Let k(o) = 103*o - 115. Determine -11*k(l) + 4*p(l).\nAnswer: 3*l - 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -126 divided by 18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 AM and 10:33 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**0)**(-1\/13)\/(b**(-5)*b*(b*b**(-2\/5)*b*b*b)\/b*b))**(5\/9) assuming b is positive.\nAnswer: b**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1861 * -223.\nAnswer: 415003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*y - 16*y - 6*y**3 - 4*y.\nAnswer: -6*y**3 - 37*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -34262 divided by -1?\nAnswer: 34262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 30576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/54*-18 - (0 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 3 + 2 + 7*i**2 + 2*i**2 as a*i**2 + x + h*i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8789 - 17936 + 9147 - 5*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 44\/(-8)*(1 + 1). Let n = -10 - h. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 - -22913458.0838964.\nAnswer: 22913462.0838964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7520, -7595, -7666, -7733, -7796, -7855?\n\"Answer: 2*z**2 - 81*z - 7441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - 0 - 4, -h = -2*x + 112. What is the remainder when x is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.08 + 1.665. Let d = f - 0.045. Suppose r = -i - 6, -2*r + r + 6 = -3*i. Which is the second biggest value?  (a) d  (b) -2\/7  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**7\/((t**8\/t)\/t)*t**(-3\/10)*t*(t\/t**3*t)\/t assuming t is positive.\nAnswer: t**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/17 + 30842*c\/17 + 92544\/17.\nAnswer: -2*(c - 15424)*(c + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d**2 + 415*d - 4093*d + 2840*d + 421*d + 417*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-1\/13)*g)**(-1\/5)*(g\/(g**(2\/39)\/g*g))**3)**(3\/13) assuming g is positive.\nAnswer: g**(474\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25 - 11. Suppose 6*u = u. Suppose -r - 127 = -i + 4*r, -5*r - 15 = u. What is the greatest common divisor of v and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*n + 4. Solve -n*b - 7 = -4*g, b = -5*g + g - 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 146119 is divided by 48638.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12909621*o**5 + 3365351*o**2?\nAnswer: -774577260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000032069764 to six dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 9*p**2 + 6*p. Let m be o(8). Is ((-194)\/(-8))\/(4\/m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*u = 20*u + 518 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(216) - (1*sqrt(216) - sqrt(216)))\/sqrt(9) - -5*sqrt(192)\/sqrt(8))\/(5*sqrt(32)\/sqrt(4) - sqrt(288)\/sqrt(4)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 4*p**2 + 23*p - 73. Calculate c(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*d - 31*d = -88 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10143921323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 57666619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115*m - 20*m - 425 = 10*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 + 11)*(-7 + 8). Solve y - 16 = -2*p + z, 5*p - 6 = 4*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1578493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/8 and -85\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 362 divide 41325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z**(-3)*z)\/z)\/(z*z**25))\/(((z\/(z\/(z*z**(-1\/3))*z)*z)\/z)\/z)**(-4))**(3\/26) assuming z is positive.\nAnswer: z**(-103\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 4*p**2. Let h(g) = -25732698*g. Give l(h(m)).\nAnswer: 2648686985436816*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 14439*g**3 + 10*g**2 + 8*g - 32. Let r be f(8). Suppose 24506560 = -p - r. What is p rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 73 + -7. Suppose 5*l + b = 2*i, -76 = -3*i + 3*l - 7*l. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1085 a factor of 9583269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sxwxxwww. Give prob of picking 1 w, 1 x, and 1 s.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 94949821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -15366 rounded to the nearest one hundred?\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of -l**3\/6 + l. Let w(x) = -12*x + 3*x + 10*x. What is n(w(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100100000100100 (base 2) in base 8?\nAnswer: 144044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*q = -71 - 25 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*j - 33 = 9 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(102) - sqrt(102)*2)*-2 + sqrt(102) + sqrt(102))\/(sqrt(30)\/(sqrt(45) - sqrt(5))).\nAnswer: -2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.1 + -0.7. Let o = -51242.20034 - -51244. Let n = t + o. What is n rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = 2*o + 2*o - 5*u, -9*o - u = 8*o + 30 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29*u**2 + 3*u**6 + 2*u**3 - u**6 + 25*u**2 - 104*u**2 wrt u.\nAnswer: 240*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*v + 11*v + 8*v - 456 + 4*v + 12*v in the form x*v + d and give d.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 168 divide 78329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, b: 2, r: 11}. What is prob of sequence xbr?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/4 - (-830)\/40. Suppose 4*k - d - 8 = 0. Let z be 1\/(k\/2)*1. Put z, -3, -0.4 in decreasing order.\nAnswer: z, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33 + 27. Let h be (-1 - (-2)\/6)*m. Solve -2*t = 2*q - 10, 0*t + h*t + 4 = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 1 = -o + 11*v, 5*v = 10. Let i be (4\/(-39))\/(4\/(-6)). Let m be (-1)\/(1\/2 + -1). Which is the smallest value?  (a) m  (b) o  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -22, 19\/6, -1\/2, 1\/6, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000175012 rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001111101100111101111 (base 2) to base 15.\nAnswer: 368c80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4325284319?\nAnswer: 727, 1721, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/20)\/((-1)\/(-4)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {g: 1, s: 1, p: 2, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -48.9089363 to two decimal places.\nAnswer: -48.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j + j**2 - 2*j)*(-1 - 2 + 2) + 2*j + 221 + 4*j**2 - 221.\nAnswer: 3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -37 + 45. What is the highest common factor of l and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13501*j**3*m**3*x**3 + 22*j**3*m**3*x - j**2*x**2 - j**2*x + j*x**3 - 277791*m**3*x**3 wrt j.\nAnswer: 81006*m**3*x**3 + 132*m**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -19) + (-231 + 283 - 146)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2061, 2028, 1993, 1956, 1917?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d - 16. Let c be h(-14). Let i be (-4)\/(c - 0\/(-3)). Suppose -3*v - 6 - 4*v**i + 3*v**2 + 4 = 0. What is v?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**2 + 10244*i + 20504.\nAnswer: -4*(i - 2563)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - 2.1. What is the third smallest value in 3\/7, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of 7*f**4\/8 - 52*f**3\/3 - 6*f**2 + 4. Let l be r(5). Determine i, given that -1\/2*i + 3\/2*i**2 - 1\/2*i**4 + 1\/2*i**3 - l = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 14 - 8*f**2 - f**3 + 10*f - 31 + 2*f**3. Let z be h(7). Is 1 + (z - -623) - (-1 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 3025 + 579. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w**4\/3 - 65*w**3\/3 - 25*w**2 + 855*w - 810 = 0. Calculate w.\nAnswer: -6, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -16.5541 times 0.07\nAnswer: -1.158787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6520685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -4*y + 16. Let x(t) = -5*t + 17. Let c = -2 + -10. Let m = c - -6. Let p(b) = m*j(b) + 5*x(b). Calculate p(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0  (b) -3\/14  (c) 0.3  (d) 1\/18  (e) 15  (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -3*c + 431685, 4*c - 14*o - 575603 = -9*o. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in 2, 4, 0.03, -9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2496\/(-56))\/6 + 7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (156\/169)\/2*2236\/32*(-8)\/(-6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d**2*n**3 - 6*d**2*n**2 - 3855775*d**2*n + 27*d*n**3 + 2*d*n**2 + 180*d*n + d - 11*n**3 + 7*n wrt d.\nAnswer: 2*n**3 - 12*n**2 - 7711550*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -47850800 - -31839800. What is u rounded to the nearest 100000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 23012397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 17 + 13. Let w(b) = b**3 + 7*b**2 + 6*b + 1. Determine w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210211 (base 4) in base 5?\nAnswer: 33331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k - 6. Suppose 0 = 3*b - 2*n - 7, 3*b + n = -2 + 3. Let d be (-2 + b)\/(2\/16). Let q be c(d). Solve 0*r - q*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 409*f - 1312*f + 854*f.\nAnswer: -49*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a factor of 130218192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -6*m**4 + 5*m**3 - 4*m**2 - m + 3. Let j(z) = 25*z**4 - 20*z**3 + 17*z**2 + 4*z - 13. Let k(c) = 6*j(c) + 26*n(c). Factor k(y).\nAnswer: -2*y*(y - 1)**2*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 4, -4, -5.\nAnswer: -8, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11 - -26) + -9 + -7 + 7 + 113?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -34 + 14 + 31 + (57 - 1) + 6.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 606938 to the power of 1\/2, to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-6 - -10))\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 - (-1 - (2 - 2)). Let g = 0 + 10. What is the remainder when g is divided by -15*(2\/(-5) + u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 3*i - 92 = 0, -20 = -3*i + 8*i. What is the least common multiple of 56 and y?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 596*g. Let p(i) = 2*i - 75. Determine n(p(m)).\nAnswer: 1192*m - 44700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + w + 18 - 44 = -40, -164 = 42*q + 2*w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 7*p**3 + 4*p**2 + 6*p. Let m(s) = 7*s**3 + 4*s**2 + 7*s. Let r be (6\/9)\/(12\/(-36)) - -8. What is r*m(q) - 7*k(q)?\nAnswer: -7*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1088622 and 985?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 4 = -2*f, 7*f - 5*f - 5*n + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 192\/40*5*(-31)\/(-2). Let l = o - 2237\/6. Put l, -0.3, 2 in decreasing order.\nAnswer: 2, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of 799*r**5\/20 - 190*r**3\/3 - r**2\/2 + 6*r - 2. Find the second derivative of w(a) wrt a.\nAnswer: 4794*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*22*17\/374.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -948010564 minus 0.1?\nAnswer: -948010564.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 605123 is divided by 4232?\nAnswer: 4179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1*sqrt(1008)*2)\/(sqrt(27)\/sqrt(3)*3 + sqrt(144)*-1)*5.\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 6:56 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 94 + 9. Suppose 0 = -2*y - 3*q - 0*q + 25, y = 3*q + d. Let g be (-21)\/(-7) + 1 + 52. Calculate the highest common divisor of g and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 64789087 to the nearest integer?\nAnswer: 8049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (-378)\/(-99) - -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) + (sqrt(192)*-1 - sqrt(192)) - (sqrt(12) + (sqrt(12) - (sqrt(60)\/sqrt(5) + sqrt(12))*-2 - sqrt(12))))\/(-2*(4*-2*sqrt(42))\/sqrt(7)).\nAnswer: -9*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1789?\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 1  (b) -628  (c) -3\/4  (d) -6  (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 125366 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 5*z**2 - 44*z - 24. Let t(g) = -g**2 + 11*g + 6. Suppose -3*y = -8*y - 45. Let h(o) = y*t(o) - 2*v(o). Give h(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 6*x**3 + 628*x**2 - 216*x - 627. What is p(-105)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7480428971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, 103, 263, 477, 739, 1043, 1383, 1753?\nAnswer: 2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -3266.24858368+3\nAnswer: -3263.24858368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 6*i + 7*z = 7, 76*i - 4 = 81*i - 4*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b. Suppose -2 = 5*x - 17. Let w(z) = -2 - x + 5 - 4*z. Give w(n(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -224523, -449199, -673875?\n\"Answer: -224676*s + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 3*x - 608 + 647 = 0, 4*x - 57 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5795881 or -5795852?\nAnswer: -5795881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of v**4 + 4*v**3\/3 - 2*v**2 - 4*v - 27. Determine u so that k(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 18 = 3*s, -2*s = 5*l + 3 - 22. Let w = 29 + -65. Let v = w - -39. Solve 0 = s*h + 6, -3*y + v*h = -0*y + 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - t**2 + 2*t - 3. Let d(y) = y. Let a(h) = 3*d(h) - p(h). Let z be a(0). Let l(c) = c**3 + 4*c**2 + c - 4. Is l(z) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/90)\/((-6)\/(-27)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 1377 and 1385 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -115\/132 + 4\/33. Let y be ((-3)\/36)\/(6\/(-9) - 0). Suppose 5*g = -0*g - 5. Which is the nearest to g?  (a) -0.2  (b) y  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 560 + -546. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 4*d - 21. Let m(n) = -2*n + 7. Let q be m(-4). Let o = 21 - q. Let r be b(o). Solve 10 = -2*a - r*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 4*k = -2*v - 12, 0 = -4*v - k - 6. Let p be (v - 4\/(-6))*102\/(-153). Factor 2\/9*s + 2\/3*s**3 + 0 + p*s**4 + 2\/3*s**2.\nAnswer: 2*s*(s + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*0.0541.\nAnswer: -0.01623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.51 + 20.49. Let v = f + -20.9. What is the second biggest value in 2, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1679, -1698, -1717, -1736, -1755?\n\"Answer: -19*c - 1660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 759 = -4*g, 3*l + g + 445 = 6*g. Let c = l + 172. What is the remainder when c is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13.66 + 0.34. Let n = -9.18 + 0.18. Let g = i + n. Which is the third smallest value?  (a) -1  (b) g  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from foyfffnpy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 555 - 500. Suppose 5*f = 4*b + u, b - 9 = -2*f - 0*f. Solve -f*y - 17 = 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -256\/3 + 86. Let d(v) = v**2 + 12*v + 26. Let h be d(-8). Let n be (-32 + 4 + 0)*h\/(-4). Which is smaller: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 9, g: 9}. Give prob of sequence gm.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 313, 0.5, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 81 - 78.36. Let t = 3.2 - z. Let y = t + 12.94. What is y rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1539 + -1539. Let b = -113 + 122. Solve m = 5*g - 16 - b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*u - 118 = 1469 - 659 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.07, -2\/11, 0.5, -1\/4.\nAnswer: -1\/4, -2\/11, -0.07, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11 and 1661?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*l + 103 = -331 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i + 27. Let k(v) = 1. Suppose -51 = -2*d - 57. What is d*k(m) + w(m)?\nAnswer: m + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2 - 15 + 2 - 10 - s. Give d(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2449*d**3*y + 2303*d**3 + 3*d**2*y - d*y - 6538*y - 43 wrt d?\nAnswer: 14694*y + 13818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4715079?\nAnswer: 3, 43, 36551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - b**3 - 4*b**3 - 1.\nAnswer: -5*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11745 and 2025?\nAnswer: 58725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -624 or -623?\nAnswer: -624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1 and -0.344124674?\nAnswer: 0.244124674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*x = -6 - 54 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*j + 1 - 1)*(12911 - 11*j - 12911) - 4*j**2 - j + j - 63 + 61 + 6*j**2 - 5*j**2 to o + m*j**2 + t*j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-60)\/(-14) + (10\/(-35) - 0). Suppose v - 4*v + 6 = 0. Suppose v*k - 1 = k. Put -1, k, z in decreasing order.\nAnswer: z, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 159192747 to the nearest integer?\nAnswer: 12617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - 21*f - 30. Let t be r(23). Suppose 0 = -23*n + 3750 + 1586. Calculate the greatest common divisor of t and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 147, 186, 225, 264, 303, 342?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*b - 31*b + 8 = -2*f, 0 = -5*b + 3*f + 12. Solve 6*q - 485 + 473 = b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -69 - -35. Let d = r + 35. Which is the closest to 0.4?  (a) d  (b) -0.3  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 52\/(-130) - (-84)\/10. Let p(z) = -z**2 + 10*z + 6. Let b be p(j). What is the greatest common divisor of b and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 340\/(-1955)*(1\/(-1))\/((-6)\/(-3)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -m**4 + 2302*m**3 + 2102?\nAnswer: -4*m**3 + 6906*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (5 - (3 + 8))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42 - (-43 + -36 + 50)) + -18.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*68*(-70)\/(-1785)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*o - 13 - 47 = -18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 88372, 176179, 263986, 351793, 439600, 527407?\n\"Answer: 87807*c + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = t + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 11, o: 5}. What is prob of picking 1 n and 3 o?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1063)\/(-177) + (-11 - (-9 - -4)). What is the fourth smallest value in 2, -2\/7, w, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 302\/1419 + -4\/129. Let g = 2713 + -2713.3. Sort 1, w, g, 2\/9 in ascending order.\nAnswer: g, w, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 - 5*s - 1. Let w be g(-4). Let p = 0 - -4. Suppose p*t - 5 = -t. Solve u - t = -w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 1906*w. Let c(r) = 775084*r. Calculate o(c(b)).\nAnswer: 1477310104*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 172*g + 176*g - 356*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of -11*f**3 + f**2\/2 - 17*f - 35. Differentiate a(u) wrt u.\nAnswer: -66*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 971881022*b**2 - 10*b**3 + 13*b**3 - 971881022*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*a, 1443 = b + 2*b - 3*a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3987, -3995, -4015, -4053, -4115, -4207?\n\"Answer: -o**3 - o - 3985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -22. Let r(q) = 3. Let h(n) = 4. Let b(a) = 6*h(a) - 5*r(a). Let l(g) = 12*b(g) + 5*p(g). Let d(m) = 2*m + 2. Calculate 2*d(o) + 2*l(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -25289627*w**2*y + 15399099*w**2 wrt y?\nAnswer: -25289627*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 54\/(-168))\/(48\/(-56)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*x - 9*x + x + 25*x as q + w*x and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 260836.\nAnswer: 2, 61, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*b**2*y - 98956*b**2 + b*y**3 + 2433*b*y wrt y?\nAnswer: 9*b**2 + 3*b*y**2 + 2433*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8857 (base 10) to base 13.\nAnswer: 4054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 3*c - 3. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -5. Suppose 29 = -s + g*b, 0 = s + 5*b - 7*b + 17. Is s at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 2939 = -4*n + 8529, -g + 5 = 0. Is 57 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**20)**11\/((((j**(-4)*j)\/j)\/j)\/(j*j**(-1)\/j*j*j)))**(-2) assuming j is positive.\nAnswer: j**406","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6 - 172) + (0 - -2). Let n = a - -184. Solve 4*m - n = 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3563 - -3565. Let w = 3 + -3.2. Let j = 0.2 + w. Which is the nearest to j?  (a) 3  (b) n  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15647.9676 to the nearest ten.\nAnswer: 15650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/7)\/(-6)*(-70)\/(-40)*5.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 9 = i. Let t be (3 - i\/1)\/2. Solve t = 4*z - 3*c - 4, 0*z - 1 = -z - 4*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -2 - 3\/4*s**2 + 1\/4*s**4 + s**3 - 7\/2*s = 0?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 26\/161 in -0.01, 29, 5, -0.6, -0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + -511745618?\nAnswer: -511745623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -14*t. Calculate the remainder when v(-3) is divided by ((156\/20)\/(-13))\/((-230)\/75 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*275\/20*-1*2. Calculate the greatest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from aooooaooaooaaoaa.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 - 38 - 57)*(0*a**5 + a**5 + 0*a**5) + 0*a**5 - a**5 - a**5.\nAnswer: -120*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1773383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -443\/90 - 59\/18. Let k = -1236371\/6 - -205562. Let r = k - -506. Find the common denominator of m and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**2 + 72*a**2 - 15*a**2)*((-1 - 2*a + 1)*(7 - 3 - 2) + 0*a + 0*a + 2*a).\nAnswer: -114*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 - 1 = 2*h. Suppose j - h = -j. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -14. What is the greatest common divisor of 108 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7242 - 86632 = 7456*q - 664*q + 2114 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 - (-12)\/(-16)*4. Differentiate 2 - 1 - 11*t**2 + 1 + u with respect to t.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of d**4\/6 - 2*d**3\/3 - d. Let g be z(4). What is the units digit of g\/40 + 66\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -3*g - 27, p + 0*p + 3 = 0. Let l be ((-12)\/g)\/((-3)\/(-4)). Solve l*a + 5 = -5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.258 to three dps.\nAnswer: 0.258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 3 + 2)*(-43*u**3 - 73*u**3 - 247*u**3) - 3*u**3 + 2*u**3 - 12*u**3 in the form h*u**3 + s + i*u + b*u**2 and give h.\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22011 - -2021102001?\nAnswer: 2021201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) -2\/13  (c) 21.172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 + -15. Let x = g - -2. Suppose -4*w + 175 = x*j, w + j = 4*w - 115. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*l = -59 - 115 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109*s - 23230 = -119*s. Suppose 0 = 2*y + 10, -5*f + f - 5*y = -s. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 0 - 2 = 0. Suppose -4*d + 11 - j = 3*h, 13 = 3*d - 4*h. Suppose -p = 4*p + 5*u + 30, 3*u = p - 14. What is the closest to 0.1 in 5, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-3\/2))**33 assuming l is positive.\nAnswer: l**(165\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*g = -37*g - 240. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 482 - 470. Let a(t) = t**3 - 12*t**2 - 3*t + 39. Suppose -10 - 14 = -4*b. Calculate the smallest common multiple of a(c) and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.065 - -4.865. Which is the closest to 2\/7?  (a) 5  (b) 0.3  (c) -6.37  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8922468803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*q = -472*q + 3588 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - -15050410341?\nAnswer: 15050410344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d + 3. Let x be q(3). Let t = -326474\/112233 - 2\/10203. What is the common denominator of (-86)\/x - 3\/(-18) and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*o**3 - 55*o**2 + 28*o**2 + 27*o**2.\nAnswer: -25*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + 0 + (1 - 3) - -3) + -7691 + 7752.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 110 + -92. What is the remainder when i is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4\/10)\/(81411\/990 + -82). Let k(d) = -2*d + 11. Let z be k(3). Suppose 0 + x*w**4 - 12\/7*w**2 - 12\/7*w + 3\/7*w**z + 9\/7*w**3 = 0. Calculate w.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 j when three letters picked without replacement from jjjjjjjyjjssjj?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 12812 > 397192\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 448072?\nAnswer: 2, 56009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*h - 5*h - 696. Suppose 2*u - 3 = 3. Suppose u*n - h - 99 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + k = 5*s - 136, -4*k + 498 = -3*s. Suppose -36 = -9*n + k. Calculate the greatest common divisor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 182 = w, 27 - 91 = -y + 3*w. Let t = y - 70. Let v(p) = p**3 + 10*p**2 + 8*p - 2. Calculate v(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 861*b*f*p + b*f + 7722*b*p + 2*b - 180507*f*p + 1254*f wrt b.\nAnswer: 861*f*p + f + 7722*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -181*o - 39591 = -264*o. What is the remainder when o is divided by 233?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1 from -34758.\nAnswer: -34759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -4*k + 67, 0 = -k + r - 5 + 22. Calculate the remainder when 179 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 3*y = -10, 1707*y + 20 = 2*z + 1709*y for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42116 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + 0*t - 2*t**3)*(5*t**2 + 0*t**2 - 4*t**2) + 3*t**5 + t**5 - 3*t**5 - 9*t**3 + t - 26*t**5 + 9*t**3.\nAnswer: -27*t**5 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -4471, -9135, -13773, -18373, -22923, -27411, -31825?\n\"Answer: 2*v**3 + v**2 - 4681*v + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 + 4*w**2 + w + 429. Is m(0) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3068*o**4 + 23784*o**3 + 290341662*o**2?\nAnswer: -73632*o + 142704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -k**2*z**4 - 71*k**2*z - 3*k**2 - 3954*k*z**4 + 5*k*z**2 - 4*z**2 wrt z.\nAnswer: -24*k**2*z - 94896*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 66\/(-18) - (-2)\/3. Let a be 3 + 6\/d + -1. Suppose -i + 6*i - 20 = a. Solve -w + i*m - 11 = m, w - 4 = -2*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5309*h**2 - 10621*h**2 + 5319*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -21.915 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1411073, 2822093, 4233113, 5644133?\n\"Answer: 1411020*b + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jujjjjujjujjjj. What is prob of picking 2 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 24 = -11*n. Suppose n*v - 4 = 2*v. Let u be (3\/v)\/((-21)\/8). Is -2 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7023 - 7024. Let x = -0.026 + 2.926. Let d = x - 0.9. Which is the nearest to q?  (a) 2\/3  (b) d  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 62053561 to the nearest integer?\nAnswer: 7877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -54*u + 1. Let v(j) = 270*j - 5. Calculate -2*v(q) - 11*z(q).\nAnswer: 54*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 + 11*o**2 + 9*o + 29. Give z(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 131914?\nAnswer: 2, 65957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 3688*a + 65 = -3693*a, 9 + 55 = -4*a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qoqoqqqqqqqqqqqqqqqq. Give prob of picking 2 q and 2 o.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*q**3 + 20*q**3 - 58*q**3 + 26*q**3 - q**3 + 133 - 133.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 6. Suppose 5*v - g*z = -0*v + 295, v - 43 = 4*z. Calculate the highest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 479082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 30 = -2*k - 3*k, 2*j = 0. Let d be (4\/20)\/((-2)\/k). What is h in d*h**2 - 9\/5*h**5 + 0 + 0*h + 9\/5*h**3 - 3\/5*h**4 = 0?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/(-39)*(-1276)\/17. Let g = 260\/17 + z. Let j = -23\/156 + g. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from ngkzm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 + 26*z - 14*z - 4 - 10*z.\nAnswer: 2*z + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 24*s**2 + 7221. Let b(a) = -50*a**2. What is v(b(j))?\nAnswer: 60000*j**4 + 7221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -175.240016318 - -175.24. Round k to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= -5008790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -4*j**3 + 3*j + 1. Suppose -26 = 2*i - 5*r, 0 = 5*i - r - 10 + 29. Let k(w) = -7*w**3 - w**2 + 5*w + 1. Determine i*k(t) + 5*l(t).\nAnswer: t**3 + 3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (56\/(-26) - -2) + 528\/(-286)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9.14 + -0.14. Let i = a - 8.7. Let y = i - 1.26. What is y rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 86, 276, 522, 830, 1206, 1656?\nAnswer: 2186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:48 PM and 12:49 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 a, and 2 x when four letters picked without replacement from {q: 5, n: 1, a: 5, x: 7}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(4 + (sqrt(7)*3*-3*-3)**2 + 3).\nAnswer: 25550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*y - 140822 = -0*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1759*s**3 - 6137.\nAnswer: 5277*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 5*u**4 + 6140*u**3 - 232245*u**2 + 2248840*u - 3617900 = 0?\nAnswer: -1265, 2, 13, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 + 14*q - 23. Let m = -16 + 28. Let p be u(m). Let d(t) = 55*t**2 - t + 2. Let o be d(p). Calculate the greatest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 314, 681, 1070, 1487, 1938?\nAnswer: 2429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43.35947ml to litres.\nAnswer: 0.04335947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**3*k\/k**14)\/(k*k*k\/(k*k**(-3\/10)))**(-24) assuming k is positive.\nAnswer: k**(226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 + v**2 - v + 1. Let f(k) = -11*k**3 + 3*k**2 - 3*k + 21. Let h(r) = f(r) - 2*p(r). Find the second derivative of h(c) wrt c.\nAnswer: -54*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -41290467*f*k - 4219*f + 2086 wrt k?\nAnswer: -41290467*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/107, 0.3, 101?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2537 + -159?\nAnswer: 239a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 1)*(3*j**3 + 3*j**3 + j**3) + (-3*j**2 - j**2 + 2*j**2)*(10 + 18*j - 10).\nAnswer: -22*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*u + 5*u - 544820 = 0. Suppose 12*c - u = -3325. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fuaf when four letters picked without replacement from aaffafuafaafaaaaafuf?\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47778639?\nAnswer: 3, 15926213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 + 2*g. Let t(o) = -2*o - 64. Let d(y) = -2*y**2 - 34*y - 31. Let h be d(-17). Let s be t(h). What is l(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11111111001 - -10010010011110010?\nAnswer: 10001110011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + 8145?\nAnswer: 8140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((sqrt(2880) + -1*sqrt(2880))*-5)\/(sqrt(50)\/(sqrt(60)\/(sqrt(12) - (sqrt(48)\/sqrt(4) + sqrt(12))))) + -3)*-5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30275964 and 2604.\nAnswer: 211931748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -528*i**5 - 2*i**2 + 54*i - 54?\nAnswer: -31680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -851 or -850?\nAnswer: -850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3778 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35961 is divided by 7184?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-5)\/6)\/((-8)\/(-102)) and 1 - ((-12)\/(-14))\/1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4454, 8928, 13402, 17876, 22350, 26824?\n\"Answer: 4474*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 + -14 + 1 + 27.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of -5*c**2\/2 - 39*c + 1434. Determine g(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*l**3 - l**3 + 4*l**3 + (2*l + 27*l + l)*(0*l - 5*l + 2*l)*(4*l - 1 + 1) in the form p*l**3 + q + j*l**2 + b*l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 259*c - 720 + 3051 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1484 divided by 20672.\nAnswer: 371\/5168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the third derivative of 529*b**7\/105 + 29*b**4\/24 + 1032*b**2. Find the second derivative of r(a) wrt a.\nAnswer: 12696*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1632 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2152900 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*a**(3\/8)))\/a*a)\/a**(-29) assuming a is positive.\nAnswer: a**(229\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -209 in 1\/333, -0.2, 0.2, 4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/7  (b) -7  (c) 2  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 - 11 = 24*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0383846 to 4 dps.\nAnswer: 0.0384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3017 in -2\/5, -0.3, 2.607?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -54 times -216555.1?\nAnswer: 11693975.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9547087*w**5 + 69*w**2 + 11293*w wrt w?\nAnswer: -572825220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -871015 or -871014?\nAnswer: -871015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -5*t + 5, -3*i - 2*i = -5*t + 45. Suppose 0 = t*d - d - 30. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -5*v + 8. Let o(a) = a. Let s(t) = -t + 8*t - 2*t + 3. Let p(r) = v*s(r) - o(r). Differentiate p(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 234 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-245))\/((-290)\/406)?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1043, -8279, -27913, -66143, -129167?\nAnswer: -223183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -31 - 29 - 38*c**2 + 109 - 26 - 30. Let f(l) = -2*l**2. Give f(n(u)).\nAnswer: -2888*u**4 - 1064*u**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -82421 plus 589830195?\nAnswer: 589747774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 3*b**3 + 4*b**2 + 4*b - 4. Let p(j) = -1 - 6 + j + 4*j + 5*j**3 + 7*j**2 + 2*j. What is -4*p(r) + 7*t(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 286778 to the nearest one thousand.\nAnswer: 287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -130*z**3 - 5*z**2 + 8*z - 35. Let t(r) = -261*r**3 - 11*r**2 + 18*r - 73. Determine -11*g(d) + 5*t(d).\nAnswer: 125*d**3 + 2*d + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/52 and 103\/24804.\nAnswer: 24804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4394028*f**2*v**3 - 35535*f**2*v + 2*f - 2*v**2 + 2 wrt v.\nAnswer: -26364168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of -v**6\/15 - 14*v**3\/3 + 54*v**2 + 42*v. Differentiate b(s) with respect to s.\nAnswer: -8*s**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1185 - 1184.99999578. Round y to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 149 = -i, -4*s + 6*i = i + 169. Let y be s\/(-10) + 4\/10. Let n be 10\/(-3)*(-24)\/5. Solve 0*b + y*b - n = 0, 2 = -2*g + 2*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + 134 = -h + 4*w, -4*h + 101 = -3*w. What is the remainder when 76 is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(3\/7))**(-4\/11)\/(y**4*y**(-9)))**(-1\/13) assuming y is positive.\nAnswer: y**(-345\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 - 755 = -30*y. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6 + -7 - -53) + (-71 + 22 - -27)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((4 + (sqrt(500) + -1 + sqrt(125)*-2)**2)*-5 + (-1*sqrt(500) + sqrt(500))\/(sqrt(100)*-1)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of q**3 - 198. Let w(h) = -2 + 2 - 5*h. What is w(u(t))?\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of 1369*f**5\/80 + 6623*f**4\/48 - 367*f**3\/8 + 45*f**2\/8 + 6099*f. Factor c(n).\nAnswer: (n + 5)*(37*n - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13613976?\nAnswer: 2, 3, 23, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -112390*g**4 - 2231*g - 8?\nAnswer: -1348680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a - 10. Let b(w) = w - 11. Let l(i) = -4*b(i) + 3*f(i). Let k be l(11). Let x(s) = -4*s**2 + s**2 + 7*s**2 + k + 1 + s**3 - 5*s. Determine x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 488*l**2*o - 47532*l**2 - l*o - 4*o wrt o.\nAnswer: 488*l**2 - l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5022 by 18.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 169*r + 227 - 55 = 126*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 + 56\/12)*(-15)\/50. Let f = 5\/29 + 101\/87. What is the second biggest value in f, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*((-36)\/(-72) - (-3)\/(-2)). Is (3083\/4)\/(z\/32*-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 112\/2 + (-4 - -7). Suppose -w*u = -55*u. Suppose 3*z - 28 + 22 = u. Calculate the remainder when 3 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - (263 - 126 - 238)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 1.89. Let q = j - -26.89. Let u = q + -26.899. What is u rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/9 - 10\/15. Solve 0 = -3*d - v*y - 5*y - 16, 0 = d - y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 92065 - 28107. Let b = 115458 - p. What is b rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 170 and 44902.\nAnswer: 3816670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1456b90 + -3?\nAnswer: 1456b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5082\/363 - (-661 - 0). Calculate the highest common divisor of m and 1200.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 23881, 17684, 11487, 5290, -907?\n\"Answer: -6197*m + 30078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 406086255 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: What is the tenth root of 506 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 t when three letters picked without replacement from {t: 6, h: 4, k: 3}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/3)\/5*(-30)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**5\/t)\/((t**(-1)\/t)\/t)*(t\/(t*t*t*(t\/(t**(1\/9)\/t))\/t*t*t))\/(t\/((t*t\/t**(1\/4)*t)\/t*t)) assuming t is positive.\nAnswer: t**(139\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.65 + -2.65. Which is the nearest to -0.1?  (a) 0.024  (b) l  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-4\/3)*o**(-5))\/(o**(2\/7)*o**(-4)*o)*((o**(1\/3)*o)**(-7\/5))**(9\/8) assuming o is positive.\nAnswer: o**(-1201\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 167725 equal to 167653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2684681 decades to centuries.\nAnswer: 0.02684681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(125))**2 + -3*(-2*sqrt(5) - sqrt(5)) - -1*2*sqrt(5)*3.\nAnswer: 15*sqrt(5) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ybh when three letters picked without replacement from {k: 1, e: 1, q: 2, h: 1, y: 2, b: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28 and 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w = 9*w + 2. Let z(u) = -u**2 - 14*u - 4. Let h be z(-5). What is the greatest common factor of w and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 127614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -4*k - k - t, -5*k = -5*t - 20. Solve 9*x + 8 = k*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11037.3782 or -1?\nAnswer: 11037.3782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 4*k)*(-4*k + k + 2*k)*(-k**2 + 0*k - 2*k**2 - 23*k).\nAnswer: -12*k**4 - 92*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 61 from 4.83515.\nAnswer: -56.16485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j + 1. Let w(q) = q**3 + 12*q**2 - 4*q - 2. Let t(y) = -4*l(y) + w(y). Let b be t(-12). Let u(i) = i**3 + 6*i**2 - 3*i + 7. Is 25 a factor of u(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of 9\/4*n**4 + 4 + 0*n + 3\/2*n**2 - 3*n**3 - 3\/5*n**5. Factor z(p).\nAnswer: -3*p*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 + 1 - 23*c + 23*c. Give a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 91534481 and -4.\nAnswer: -366137924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n**5\/4 - 1855*n**4\/8 + 21627*n**3\/8 + 33325*n**2 + 78438*n + 12160 = 0 for n.\nAnswer: -320, -4, -1\/6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 70\/42 + (-2)\/3. Which is bigger: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 308 - 303. Suppose 5*n + j = 0, 2*n + 428 = t + 2*t. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/h**(-1\/6)*h)**(-46) assuming h is positive.\nAnswer: h**(-437\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 + 23.2. Let d = 67.8 + n. Let t = 81.99931 - d. What is t rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 103\/12 + 4473\/(-7668).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145 = 45*l - 80. Solve 0 = j - 3*v - 6, -l*j - 6*v + 3*v = 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*v - 5*v - 4. Solve -3*k = -v + 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -4*t + 5. Let f be o(4). Let y = f - -8. Find the common denominator of (-785)\/(-30) + 2 + y and 83\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1594924423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of -t**5\/20 + 7*t**4\/12 - t**3\/2 + 39*t**2 - 405*t - 1. Give r(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2*d + 1 + 3*d**3 + 125*d**2 - 125*d**2 - 2*d**3. Let y be b(1). Suppose -4*m - 45878 + 117478 = y. Round m to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18544*z**2 + 2504*z + 1?\nAnswer: -37088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n + 4*n + n + (-7 + 3*n + 7)*(5 - 3 - 1).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 + 3*g**2 - 3*g - 4. Let i be d(3). Let l = i + 14. Suppose l = v + 2*f, 5*v - f + 5 = -1. What is the closest to v in 2, -3\/2, 2\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i - 4. Let o(d) = -2157*d + 10. Calculate 3*f(k) + o(k).\nAnswer: -2151*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/(-3))\/((-4)\/12). Let h(z) = 4*z**3 - 2*z**2 + 2*z + 2. Let f(j) = 173 - 173 - j**3. Let c(n) = s*h(n) + 6*f(n). Factor c(m).\nAnswer: -2*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39146258 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -3\/2, 4\/7, 5, -1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30, -263, -906, -2163, -4238, -7335, -11658?\nAnswer: -17411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/(-4))\/(6204\/(-11656)). Which is bigger: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189861821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 7055037 - 7055037 + 5443*u**2 as b*u**2 + v + a*u and give b.\nAnswer: 5443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2944 and 10304.\nAnswer: 20608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 - 3417782794966?\nAnswer: -3417782794966.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 217 - 209. Let o(k) = 25*k + 7 - 9*k - 1 - 5*k - w*k. Give o(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 760818855.\nAnswer: 3, 5, 50721257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 + 12*l**2 - 12*l + 8. Suppose 14 + 19 = 3*t. What is c(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -90464*t**2. Let l(w) = -2*w. What is l(k(o))?\nAnswer: 180928*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 5, 3\/5, -2.07, -2, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 24.254\nAnswer: 31.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 3*m + 11. Give h(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 93\/100 - 8237\/900. Let u = -1\/1530 + -6623\/10710. Find the common denominator of u and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(70) + sqrt(70) + sqrt(70)*2)\/sqrt(10)*-4)**2*6 + -4)*4.\nAnswer: 42992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -32812 times 6?\nAnswer: -196872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18259\/6552 - -1\/936. Let m = 16\/7 + f. Which is the fourth biggest value?  (a) 1\/17  (b) -2  (c) -1  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2.5377 and -5947?\nAnswer: 5944.4623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31727 - -31730. Solve -16*j = u*j - 114 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/320 and -11\/4.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (12\/40)\/(9\/12) + 0\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 79755424 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -251181974 by -6788702.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2424.4486468 rounded to the nearest integer?\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38*m - 39*m - 3, 4*m = 4*x + 24 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62618 is divided by 364?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/25483128 and -45\/14865158.\nAnswer: 178381896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 3*k + 9 + 10 - 23*k. Is j(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 5736*b + 17221. Give u(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 4 = 4*q, q - 2*l + 4 = -4*q. Suppose 3*u + 23 = 2*o, 0 = 5*u + 4*o + 9 - q. What is the units digit of u\/(5\/(-3)) - -83?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.4  (b) 3  (c) -0.0467  (d) -2  (e) -3\/20  (f) -4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(144)\/sqrt(3) + (sqrt(27))**2 + sqrt(3) + 0 + -3 + 0.\nAnswer: 5*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1\/25, 3\/20, 0.3, -5, 0.4, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.04  (b) 5.4  (c) -4  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 - 7*q**2 - 14*q - 9. Let a be s(-11). What is the greatest common factor of a and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/7*(-894)\/745.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/(-21) + 510\/105\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123 + 123 - 226*d.\nAnswer: -226*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 3*-9*(-3)\/(555\/(-140) + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 - 2*i + 7. Let c(t) = t**2 - 2*t + 6. Let w(x) = -4*c(x) + 3*n(x). Calculate w(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 2*o**3 + 52*o**2 + 306*o - 360 = 0.\nAnswer: -15, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, w: 2, p: 2}. Give prob of picking 2 p, 1 w, and 1 e.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 26 = -5*o + n, n = -3*o - 14. Let g be 1 - (-14 - (-5)\/o). Suppose 219 = g*w - 213. Calculate the highest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -109 - -107.16. Let h = -580 + 577.23. Let a = h - x. What is a rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v**2 - 1284*v = 0. What is v?\nAnswer: -321, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 14*f + 18. Suppose 4*k + f = 10. Is -1 + 817 + k + (0 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from ebbnehcbhh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 48286483*i*o - 869*i + 25587 wrt o?\nAnswer: 48286483*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 0, -8, 2, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 + k. Let o be t(0). Suppose -573 - 819 - 187 = -434*i + 157. Solve -i*b - 12 = 4*z, 3*b + 2*b + z + 15 = o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(1536) + sqrt(1536)*3))\/(((5*-1*sqrt(84) - sqrt(84)) + sqrt(84))\/sqrt(7))*4)**2.\nAnswer: 294912\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(6\/(-18)*6\/4). Suppose q - 5 = -a, 0 = 4*q - 5*a + 5 + b. Let l = -1 + 3. Solve 8*m - 3*m - 8 = -4*h, h - q = l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2133 = 66*c + 1407 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/12*-2)\/(17 + 2869\/(-171))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n + 3. Let m(p) = p**3 + 2*p**2 + p. Let q be m(-1). Suppose 6*c - c + 15 = q. Let k be i(c). Sort 3, k, -3 in ascending order.\nAnswer: -3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*p + 80 + 36 = 0. Suppose -4*t + p*z = -80, -4*z - 55 + 137 = 5*t. What is the greatest common factor of 15 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14670 (base 12) to base 13.\nAnswer: 10029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/3)\/p)\/(p*p**(-8)))**(-50) assuming p is positive.\nAnswer: p**(-850\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 104  (b) 3\/5  (c) 11  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100 (base 2) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*p - 4*o + 9 + 11, p + 3*o - 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/12 in 0.5, -6, 4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*o + 48*o = 15. Suppose -10*b - 30 = -o*b. Calculate the greatest common divisor of 12 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2)*((-7 + 3 + 3)*(3 - p - 3) + 3*p - 2 + 2).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 50772187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.5?  (a) 4  (b) 0.2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, x: 4, s: 2}. What is prob of picking 2 x and 1 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 47081632 divided by -11770408\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 3785 = 5*q, -63*q + 58*q + 3785 = 5*o. List the prime factors of q.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34 and 20910?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2385575\/9 + -262846. Let m = t - 2221. Let l = 13503\/20 + -2751\/4. What is the common denominator of m and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*u**5 - 2*u**4 + 2*u**4)*(1 + 3 - 2) + (-37*u**3 - 142*u + 142*u)*(2*u**2 + 3*u - 3*u).\nAnswer: -64*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/21219, 2, 5?\nAnswer: -1\/21219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n + 2*n - 2*n)*(-691 - 87 + 414 - 1256).\nAnswer: 4860*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2098255 is divided by 699383.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 45 - -49. Suppose l = m + 2*z, -4*m = m + 2*z - 454. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 72 = 4*c. Suppose -c*v = -48*v + 943200000. Round v to the nearest 1000000.\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(343) + 5 + sqrt(448).\nAnswer: 5 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 213048 and -4.\nAnswer: 213044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k + 5. Let b be u(-5). Solve b - 2 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5707351795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 188, 810, 1856, 3332, 5244, 7598?\nAnswer: 10400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/5 and -23\/2164.\nAnswer: 10820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 15 = -2*x. Suppose p = -x + 17. Suppose -22 - 50 = -p*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 204*s + 77*s + 72*s to k*s + h and give k.\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 minus 3459211946345?\nAnswer: -3459211946332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -10888, -10893, -10910, -10945, -11004, -11093, -11218, -11385?\n\"Answer: -v**3 + 2*v - 10889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/2)\/(-17*58\/(-493)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -216 less than 58.573299?\nAnswer: 274.573299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/12 + 0)*(1 - 1). Solve -4*u = 4*w - 9*u + 20, k = -w - 3*u - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -324024 (base 5) to base 4\nAnswer: -2232003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 302 - 299. Suppose i*z = -3*z + 282. What is the remainder when 279 is divided by z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 17701219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1141 - a?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0005409 to 5 decimal places.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.116016 months in decades?\nAnswer: 0.0009668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - 2\/16 - (-108)\/352. Determine q so that -j - 32\/11*q**3 - 16\/11*q - 36\/11*q**2 - 10\/11*q**4 = 0.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 8:24 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/5)*u*(u**2*u)\/u*((u**(-1)\/u)\/u)\/(u**(-3\/5)*u))**(1\/30) assuming u is positive.\nAnswer: u**(-2\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6505743 is divided by 406?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*h = 51*h + 102. Let z = h + -48. Factor 3\/2*w**4 + z + 21\/2*w + 15\/2*w**3 + 27\/2*w**2.\nAnswer: 3*(w + 1)**3*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -29 + 29.0044. What is m rounded to 4 decimal places?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 1530*y**3 + 18*y**2 - 17*y - 2. List the prime factors of m(1).\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vmvqmmmmvmqm. Give prob of sequence vq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 AM and 7:03 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r + 1. Let s(j) = -3*j**3 - 11*j**2 - 27*j + 5. Let u(m) = s(m) - 6*t(m). Let v be u(-5). What is the highest common divisor of 36 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - 1.009. Let p = 0.0029 + s. What is p rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rre when three letters picked without replacement from ererererrerererrree?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l + 2*l**3 + l - 3*l**3 + 2*l**3 + l**2. Let g be v(0). Suppose g = z - 7*z + 210. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzbbzzzbbzzzbzz. Give prob of picking 3 z.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 3*l - 5*l - 79, 5*l = -2*w + 49. Let n = 529 - 520. Calculate the remainder when w is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (((-300)\/16)\/(-5))\/((-11)\/(-1716)). Calculate the greatest common factor of 130 and f.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -12. Suppose -b - d*m + 26 = -0*m, -b - 2*m = -24. What is the remainder when b is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -397 - -1134. List the prime factors of o.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 649476*l**5 - 17*l**4 + 3*l**3 + 7*l**2 - 957301*l wrt l?\nAnswer: 38968560*l**2 - 408*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1170)\/(-12))\/(3\/4). What is the highest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, e: 1, u: 1, o: 2}. What is prob of picking 1 e, 1 q, and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -111\/2980 and 47\/4172.\nAnswer: 20860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003092017 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of -l**4\/6 + 3*l**2. Let r(j) = -j**3 + 5*j. Let m(o) = 2*r(o) + 3*y(o). Find the second derivative of m(z) wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 781, 1561, 2341, 3121?\nAnswer: 3901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6647, 5, -4 in ascending order.\nAnswer: -4, 5, 6647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/60 - 12\/(-10). Let k be 2 + d - 9\/3. Factor -2*c**5 + 0 - 6\/5*c**4 + 4\/5*c**3 + 0*c**2 + k*c.\nAnswer: -2*c**3*(c + 1)*(5*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/11, 1\/5, 1281, -0.06, 2\/7, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 25*z**2 + 6 + 22 - z**2 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (39 - 55 - -41) + 5 + 9?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5655509677 rounded to the nearest one million?\nAnswer: 5656000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 156787652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -307 + 316. Calculate the highest common divisor of 207 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49*12\/14*(3 + (-30)\/9)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = -4*f + 3*q, -5*f - 3*q - 60 = 29. Let m = f + 18. Let l(j) = 3*j - m - j - 7*j + 1. Give l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2468106 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of 7\/3*y**3 + 1\/4*y**5 + 21*y**2 + 1\/120*y**6 + 0 + 0*y - 1\/24*y**4. Calculate the common denominator of 8\/5 and z(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 - -19. Solve 0 = p*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7025)\/(-115) - (69\/1587)\/((-5)\/(-10))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -47 - -52. Sort q, 1, 3, -3.\nAnswer: -3, 1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qgq when three letters picked without replacement from {q: 2, g: 5, o: 2}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2344 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 892735?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/110*(-140)\/(-16). Let l = j - -3\/44. Let w be ((-8)\/(-6))\/((-2)\/(-6)). What is the nearest to w in l, 1, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7\/59822127 or 1?\nAnswer: 7\/59822127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -166 + 400?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 162814176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1049616*b**3 - 4*b**2 + 16052360*b.\nAnswer: -6297696*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -124048230 rounded to the nearest ten thousand?\nAnswer: -124050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/10)\/((-10)\/(-650))*1. Solve -j*g + 25*g = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 8 = 4*r. Put 4\/3, 3, 1, r in descending order.\nAnswer: r, 3, 4\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 plus 31882326907?\nAnswer: 31882326954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81051 (base 13) to base 15.\nAnswer: 48586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = g + 8 + 5, 5*g = -3*j + 4. Suppose 0 = j*t - 6*h + h - 52, -t + 21 = 2*h. Solve 3*o - 15 = 4*y - 7*y, -5*o = 3*y - t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2\/7, 25 in descending order.\nAnswer: 25, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87889 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of -p**4\/12 + p**3\/2 - p - 5. Let j(u) be the first derivative of h(u). What is the second derivative of j(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2*b - 1. Let i(z) = -1. Let h(f) = 4*i(f) + k(f). List the prime factors of h(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*t**4 - 2070*t**3 - 8165*t**2 - 10530*t - 4400 = 0 for t.\nAnswer: -55, -2, -8\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/125)\/((-9)\/45).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.2 - 2.1?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/v**3*v*v*v*v)**19)**(3\/4) assuming v is positive.\nAnswer: v**(171\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o**3 - 3*o**2 + 3*o + 15. Let d(i) = -i**3 + 2*i**2 - 2*i - 14. Give -3*d(z) - 2*y(z).\nAnswer: -z**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2383 (base 10) in base 6?\nAnswer: 15011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 194939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of 750 and -30.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 219582.\nAnswer: 2, 3, 11, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of -4*w**7\/35 - 31*w**3\/6 - 12*w**2. What is the first derivative of h(z) wrt z?\nAnswer: -96*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 14*q - 39*q + 9*q - 8 + 9 - q**2 + 17*q. Suppose 26*f - 8 = 22*f. Give j(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**2 + 11*c - 2. Let o be q(-7). Find the common denominator of -61\/6 and o\/27 + 3\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 11:24 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 90*h - 6. Calculate b(-10).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -0.0412, -38, -0.2 in increasing order.\nAnswer: -38, -0.2, -0.0412, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -215425 + 9227119?\nAnswer: 9011694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -81038208 divided by -211037?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of -n**7\/280 - n**5\/40 + n**3\/2 + 3*n**2. Let f(h) be the first derivative of w(h). Find the second derivative of f(t) wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6.9096 * -0.095\nAnswer: -0.656412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -4*z + 13. Let o(y) = y - 3. Give -9*o(k) - 2*p(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28565878 is divided by 1736?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15369163 to the nearest integer?\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 554140 from 2.\nAnswer: -554138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, -507, -5 in descending order.\nAnswer: 5, 3, -5, -507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -12b (base 15) to base 8\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 21, 555, 2001, 4815, 9453?\n\"Answer: 76*i**3 + 2*i - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of -2*z**3 - 3*z**2 - 1\/4*z**4 - 134 - z. Calculate c(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 + 38*k + 84. Let a be t(-36). Let p(h) = h**2 - 12*h. Give p(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 3. Which is the closest to -1\/3?  (a) -5  (b) -4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 314731694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/5)*m)**35*m**7\/m**(-6)*(m\/(m*m*m**(-4))*m*m*m\/m**(-1\/5))\/((m\/(m**(-2)\/m))\/m**5) assuming m is positive.\nAnswer: m**(206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 57.5 - 102.5. Let a = u + 45.5. What is the biggest value in -3, -6, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-2*(-1)\/10)\/(-1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/v**(1\/3)))**28\/(v**5\/(v\/(v**(-5\/3)*v))) assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.0803 - -0.0803. Let g = -7 - -6.94. Let z be (9\/(-30))\/((-9)\/(-12)). Which is the second biggest value?  (a) g  (b) f  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48730444849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(-8) + -1 - 70\/8. Let y(w) = w**3 + 9*w**2 + 4. Let n be y(i). Solve 2*h + 0*b = -3*b - 10, -n*h - 6 = -b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 33 - 12*p**4 - 33 + (-12*p + 12*p - p**3)*(1 - 2*p - 1) + 2*p**4 - p**2 + p**2.\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**3\/m*m*(m**(1\/9)*m)\/m*m*m assuming m is positive.\nAnswer: m**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2404, 2405, 2406, 2407, 2408?\n\"Answer: k + 2403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**3\/19 - 42*d**2\/19 - 44*d\/19 = 0.\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(48\/22 + (-20)\/10).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*y + 20*u - 2903 = -1923, -42 = -2*y - 2*u for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - 2) + 9 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 9\/81 + 41\/(-126)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 9, m: 7}. What is prob of sequence emm?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*j*m*q - 2*j*m - 85*j*q + 107*m - 10 wrt m.\nAnswer: -2*j*q - 2*j + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 3*p = -5*p + 180, -5*a - 2*p = -447. Let r = -621\/7 + a. Suppose 3*w + 5 = h, -4*w = -4*h - 0*h + 20. Which is bigger: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 5 - 26 = 0. Let j be (3 + z)\/(-2)*2. Suppose -7*q = -j*q - 6. Solve -3*x + 15 = 0, q*l + 3*x - 11 + 2 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-9)\/(-5) + (-2)\/(-10). Let a = u - -2. Determine z, given that -46*z**a - 6*z**2 + 12*z**5 + 7*z**4 + 38*z**3 - 5*z**3 = 0.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7116189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 6*l**2 - 8. Let p = -19 + 13. What is t(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/3 + (-5)\/(-15). Let b(a) be the first derivative of 7 - 3 - 2*a**2 + a**2 + x. Let m(r) = 3*r. What is b(m(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 328 + 37 = -24*s - 115 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -296*u**2 + 12*u. Let f(d) = 888*d**2 - 40*d. Let v(c) = -10*b(c) - 3*f(c). Let k(l) = 13*l. Determine v(k(a)).\nAnswer: 50024*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 6*j + 23. Let s be u(10). Is s less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 459 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2456717883 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**2 - 710*a - 103448. Calculate s(-111).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 4 = -4*y, 4*y = 5 - 1. Let n(v) = 5*v - 1. Suppose 4 - 1 = -x. Let s(u) = -4*u + 1. Let d(l) = x*s(l) - 2*n(l). What is d(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1c - -a9a12c?\nAnswer: a9a14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1639 - -13)*((-5)\/2 - -2) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*t - 94 + 6. Which is smaller: -19\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vzg when three letters picked without replacement from {v: 2, g: 9, z: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 2095 divide 46493683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6233\/(-23) + -4)*(-95)\/(-475).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 16) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9183*s**2 + 2878*s**2 + 44373*s**2 + 58341*s**2 + 17070*s**2.\nAnswer: 113479*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 103863 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.4 - 0.1. Let y = 0.3 - s. Let k = -0.99999 - y. Round k to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.024988 times -31\nAnswer: -0.774628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8190*k**3 + 37*k**2 - 4*k + 52?\nAnswer: -49140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1683 and 35717?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 14 = -q, -4*t - q - 2*q = 56. Put -1, 7, -3, t in ascending order.\nAnswer: t, -3, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -8*p**3 + 2*p**2 + 1 - 4*p**3 + 3*p - p. Let i be (60\/8)\/(-15)*(-1 + 3). What is the units digit of t(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 433796 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19, -18, -19, -22, -27, -34, -43?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13\/2 + -6. Suppose -60*w - 4*l + 6 = -62*w, 2*w - 2*l = -4. Let u = 0 + 3. What is the closest to t in u, -5\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 104 - 100. Let i be 12\/90*-3*(p - -1). Calculate the lowest common multiple of (i\/4)\/(2\/(-16)) and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -50*o + 9023 - 361*o - 463*o - 9023 to the form c*o + b and give c.\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-13)\/26)\/(3\/(-4)))\/((-15)\/9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12110 divided by 865?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3139967551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/47 in 2\/13, 2\/7, -3, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -356 - -1451. Suppose -4*i - 93 - g = 0. What is the hundreds digit of i\/(-2) - (-20)\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 15\/16?  (a) -0.98  (b) 0.3  (c) -0.2  (d) 0.08  (e) 1\/4  (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 342\/57 + (-4 - -5771096 - -2). What is l rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/3 + 114632*v\/3 + 11091077.\nAnswer: (v + 291)*(v + 114341)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-2 + (0 + 3 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4  (b) 2863  (c) -1\/10  (d) 14\/1205  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 9\/4, 3.3, -4, 5, -0.3?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -7*l**2 - 3*l + 3. Suppose -5 = -i - 2*o, -3*o + 20 = i + 2*o. Let p(w) = -10*w**2 - 4*w + 4. What is i*p(g) + 7*f(g)?\nAnswer: g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 4999, 20047, 45135, 80263, 125431, 180639, 245887?\n\"Answer: 5020*s**2 - 12*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 46491.26g in nanograms?\nAnswer: 46491260000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.1 + -3.087. Round b to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h + 2 = -15*h. Suppose -4*x + 2*x = z - 4, 5*x = z + 24. What is the closest to 0.1 in z, -2\/37, h?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gms when three letters picked without replacement from sgmmumgsgmeugm?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:31 AM and 10:07 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 28 = 4*m, p = -m - 10 + 2. Sort m, -1, 2, -2 in increasing order.\nAnswer: m, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 0 = -3*f. Let s = f - -5. Solve -2*p - 4*v - 3 = 1, -2*p = -s*v - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3\/35, -1\/19, -41, 2\/17?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - 0. Let t be (-12)\/(-5) + (-4)\/j. What is the first derivative of -t*f**4 - f**4 + 1 + 0 wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 86 - -26?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1 - (1274\/16)\/(-7) and 21\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2192855281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 34 = -114. What is the units digit of 10\/25 - d\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 5*o = -2, -4*o + 2 = -2*x + o. Suppose 0 = 3*p + 6. Let s = p + 5. Calculate the remainder when x is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 997 + -35522?\nAnswer: -34636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 54, 2, -3, -1 in ascending order.\nAnswer: -3, -1, 2, 13, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1679491 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22912024*i**4*z**2 - 99*i**2 - 45039*i*z + 3*z**2 wrt i?\nAnswer: -549888576*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*q + 84 = -10*q. Let u be -3 + 214\/14 + q\/14. Let r = -4 - -7. Solve -r*x + u = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7077*m - 7580*m + 26156 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of 6*q + 16 - 3\/2*q**3 + 6*q**2 + 3\/4*q**6 - 3\/10*q**5 - 33\/8*q**4. What is b in a(b) = 0?\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 264 is divided by 91.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of 1\/120*g**6 - 1\/12*g**5 - 1\/3*g**3 + 0 - 10*g**2 + 0*g + 5\/24*g**4. Calculate j(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 183.90801 and 3.\nAnswer: 186.90801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 32 - (-2 - (2 - 4)). Let a = 54 - f. Let x(d) = d**2 + 3*d - 2. What is the remainder when a is divided by x(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 264621133 to the nearest one hundred thousand.\nAnswer: 264600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20710610 and 4?\nAnswer: 41421220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20038747319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3839748 - -14\nAnswer: 3839762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n + 19 = -11*n. Let z be ((-15)\/(-10))\/(1\/4). Let x = n + z. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -0.2  (b) 9  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 136 divide 1904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(351)*1)\/sqrt(9))\/(4*sqrt(768))*-2 + 2.\nAnswer: -sqrt(13)\/32 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 16255 = 2*a - 5161, -3*a = 0. What is the highest common divisor of 43 and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 104464565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32537560 is divided by 1478980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**6*s\/(s**(2\/3)\/s)*s*s)**30\/((s\/(s\/s**(2\/9))*s)**11*s\/s**(-2\/15)*s\/s**2) assuming s is positive.\nAnswer: s**(11989\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -16*s + 12. Let v(t) = 23*t - 13. Determine -4*n(q) - 3*v(q).\nAnswer: -5*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 5*a + 16, -a - 3 = -4*x + 41. Let h = -8 + x. 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 530 minutes after 11:34 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -163*m - 42261. What is o(-259)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -6) + (-3 - -9 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - d = -4, -5*m + 2*m - 5*d = -10. Let l = m + -38. What is the remainder when 41 is divided by (1 - -2) + l\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 113*a**5 - a**3*r + 2*a**3 + 4*a**2*r + 8*r wrt a?\nAnswer: 6780*a**2 - 6*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 4*v**2 + 11. Let k(f) = 3*f + 5. Let b(d) = d + 2. Let q(u) = 8*b(u) - 3*k(u). Let r(n) = 5*q(n) - s(n). Give r(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1708 plus 0.1?\nAnswer: -1707.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000193694 to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l**4 + l**3 - 4*l - 13*l + 2*l**2 + 3*l**4 - l**4 - 2*l**3 to b*l**4 + h*l**2 + k + r*l + u*l**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1003254499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -2 + 9 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2612 - 658 = 141*v - 6224 for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -107 - -197. Let q be -3 - (11\/(-2) - p\/60). Let n be -3*(8\/18)\/(-2). Which is the second smallest value?  (a) n  (b) -1  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 23 or -784.2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - 4. Let t = 157 - 264. What are the prime factors of t\/(-3) - 3\/f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/9*240\/25*(76 - 66).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, -2, -18, -32, -44, -54?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 2*q + 10 = 0, 3*q - 2*q + 23 = 4*k. Let y be k\/24 + 22\/8. Let v be (-48)\/(-22) + (-18)\/99. Solve v*p - 13 = 3*m, 0*m - 2*m - y*p = -13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27185120923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45 and 13365?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - 5*b - 3. Let v(c) = 3*c**2 - 15*c - 9. Let d(w) = 7*r(w) - 2*v(w). Give d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/38288 and 55\/26?\nAnswer: 497744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2330474191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -3*n**2 + 23*n + 20. Let k(u) = u**2 - 5*u - 1. Let v(j) = a(j) + 2*k(j). Suppose -13 = -l + 1. Calculate the least common multiple of v(l) and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-8 - 2) - 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h. Let d(l) = 3996840*l**2. What is i(d(m))?\nAnswer: 7993680*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(360))\/sqrt(8) + sqrt(405)*2 + sqrt(45))\/((sqrt(72) - (sqrt(72) + 2*sqrt(72)*3 + sqrt(72) + sqrt(72)))\/sqrt(8)) + 1)**2.\nAnswer: -3*sqrt(5)\/2 + 61\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -105 - -151. Calculate the least common multiple of 12 and w.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13108 + -0.13188?\nAnswer: -13108.13188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3729 - -3789. What is the greatest common factor of 915 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 556 divide 1784152033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3416982 is divided by 213558.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 2:22 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1001102100221 + -220110?\nAnswer: -1001110021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 443117 - 22?\nAnswer: 443095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 AM and 7:52 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5433861?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4048489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 76 + -108. Let f = 39.5 + s. Let h = -13 + f. What is h rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 309 is divided by 147?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 706141209.89 - -0.05\nAnswer: 706141209.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l + 3. Suppose -7*w - 2 = 19. Let v be y(w). Is ((-1834)\/v)\/(-1)*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 + 7*w**2 + 174*w + 311. Give z(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/1089 and -14\/165?\nAnswer: 5445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddmmu. What is prob of sequence dmd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 7*a - 27. Determine u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.95 - 6. Let p = 0.15 + s. Let b = 0.1 + p. Put 2\/9, -0.1, b in decreasing order.\nAnswer: 2\/9, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3610*a + 52 - 3565*a + 38 + 5*a**2.\nAnswer: 5*(a + 3)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2*(-2)\/(4\/(-7)). Find the second derivative of w**2 + i*w**2 - 7*w**2 - 2*w wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1265018 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: Let c(i) = -4*i**2 + 2. Let j(q) = 2*q**2 - 1. Give -2*c(x) - 5*j(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/(-14)*28\/8*-2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -5, -151, -3.\nAnswer: -151, -24, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -108.3 - -113. Round k to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 678627 is divided by 14436?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 4, 2\/5, 0.04, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -12 + (-3 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 207492 + 207028 = 0 for l.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -200 - -202. What is the second derivative of 13*m**i + 39*m**4 - 1 - 72*m + 2 + 25*m**4 - 12*m**2 wrt m?\nAnswer: 768*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37.1643 millilitres to litres.\nAnswer: 0.0371643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (408 - 424) + -1 + 30 + -98.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1118 * 3.82821\nAnswer: 4279.93878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 232351?\nAnswer: 7, 19, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -17973622, -17973576, -17973530, -17973484, -17973438?\n\"Answer: 46*d - 17973668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjoojjj. What is prob of sequence jo?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 321.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 742 = 223. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, -2, -34 in ascending order.\nAnswer: -34, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 12374496 - -90?\nAnswer: 12374586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = f - 4*n + 26, 3*f - 13 = n. Suppose 2*g - 3*g - f = 0. What is the units digit of ((-58)\/g)\/((-6)\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 7. Suppose -m + z = 2*w, -m = -6*m - 2*w + 12. Let h be 2\/2 - (11 + -10). Solve -3*g - m - 1 = h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/(-3) + (-152)\/96 and -23\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 17 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 381902 is divided by 95471?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 704927499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 + 3030*z - 238867. Give y(81).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 128 + 42. Suppose 48*l = b - 26. Factor -10\/7*n**l - 2\/7*n**4 + 0 - 16\/7*n**2 - 8\/7*n.\nAnswer: -2*n*(n + 1)*(n + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88645 is divided by 349.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 19 = 3*s, -3*s + 5*n + 31 = -0*s. Let m(i) = 12*i - 3. What is the units digit of m(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/(-5))\/((-4)\/(-250)). Suppose -h = -t - t. Suppose -185 = -5*d - f, -3*d = -3*f - t - 68. What is the highest common divisor of d and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -4770*b**3 + 84*b**2 + 45*b - 2. Let i(s) = 1591*s**3 - 24*s**2 - 15*s + 1. Let t(n) = 2*g(n) + 7*i(n). What is the second derivative of t(f) wrt f?\nAnswer: 9582*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.99016 to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4827689.\nAnswer: 1663, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 2*m + 767. Let t(a) = -67*a. What is t(h(f))?\nAnswer: -134*f - 51389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31131?\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of 5\/2*m**2 - 7\/3*m**3 + 0*m - 1. What is the second derivative of k(t) wrt t?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, -0.4, 0.17 in descending order.\nAnswer: 1, 0.17, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 3, 2*h + 20 = 4*s - 14. Suppose -3*v + 5 + s = 0. Suppose v*m - 3*m = 6. Solve -a = -3*a - m*z - 16, -4 = z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 - 12 = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1626, -8512, -20670, -38100?\n\"Answer: -2636*f**2 + 1022*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 2*j = 32. Suppose -6*i = -j*i + 8*i. Solve i = -2*k + k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 187\/6090 and 37\/980?\nAnswer: 85260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, s: 3}. What is prob of sequence ssuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-63)\/117*14\/49?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 - 3*d - 1. Let g(k) = -k**2 + 10*k - 9. Let a be g(9). Let q be w(a). Let x = -5 - -2. Sort 5, x, -5, q in increasing order.\nAnswer: -5, x, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - 0)\/((-12)\/(-36)). Suppose -5*t + 6 = -b*t. Solve 6 = -t*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224219394?\nAnswer: 2, 3, 7, 101, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1120938 is divided by 88?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 1  (b) 36  (c) -0.09  (d) 0.1  (e) -6  (f) 253.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 56529886?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 4*r - 12 = 0, 87*p - 4*r = 91*p - 24 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/11)*r)\/((r\/r**(1\/2))\/r*r))\/(r**1*(r\/(r*r\/r**(2\/3)))\/r) assuming r is positive.\nAnswer: r**(43\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-34) + 152\/1292. Suppose z = -65*a + 72*a - 23723. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*-3*1\/(-2). Let u(h) = h**3 + 5*h**2 + h + 5. Let c be u(-5). Solve -2*q = -c*q - 5*w, -w - t = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60838.\nAnswer: 2, 19, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 25, 1 in increasing order.\nAnswer: -5, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-116 + 30 - 123)*(-2*v**4 - v**4 + 5*v**4) + 0*v + 0*v - v**4 as w*v**4 + a + p*v**3 + j*v**2 + y*v and give w.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1141668, 1141674, 1141690, 1141716, 1141752, 1141798, 1141854?\n\"Answer: 5*p**2 - 9*p + 1141672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -20\/7, 14.4?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22608 = -191*g + 12536. Calculate the greatest common divisor of g and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*j + 9*j. Suppose -4*i + 16*i - 42684 = j. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of -h**4\/12 - 3*h**3\/2 - 11*h**2\/2 + 1566*h. Let w(r) = -3*r + 1. Let i be (-1 - (-7)\/4)*4. Let f be w(i). Calculate v(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -76 + 12bc?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 3:50 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 + -4. Calculate the remainder when (1 + 54\/(-4))*(-24)\/10 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2 + sqrt(153) - sqrt(153)) + sqrt(153).\nAnswer: -10 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(76) + 4*sqrt(76)*-1 + -5 + -2*(sqrt(76)*1 - sqrt(76) - sqrt(76)) + -5*-2*sqrt(76)))**2.\nAnswer: -6480*sqrt(19) + 222516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 68, 142, 216?\n\"Answer: 74*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 176*q + 2. Let y(o) = -2*o**2. What is y(r(z))?\nAnswer: -61952*z**2 - 1408*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 530 or -0.1893?\nAnswer: -0.1893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 4*q - 1. Let x(h) = 5*h + 8. Let d(l) = l + 2. Let u(y) = 4*d(y) - x(y). Suppose 9*n - 15 = 4*n. Determine n*u(o) + b(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 17030056 equal to 17030058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -3*n**2. Let d(c) = 472230*c. What is d(s(v))?\nAnswer: -1416690*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + -14321?\nAnswer: -14322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 7 = 3. Let j = 33 + -31. Find the second derivative of -h*w**2 + 2*w**j + w**4 - 3*w wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (23\/(2415\/180))\/2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 - c**2 + c - 1. Let r(w) = -w**3. Let l(k) = 6*h(k) + 5*r(k). Suppose d = -5*s - 4*d + 50, 0 = -s + 2*d - 5. Determine l(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 2 = -56*h + 52*h, -6 = -3*l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1528, 1543, 1572, 1621, 1696, 1803?\n\"Answer: t**3 + t**2 + 5*t + 1521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-13) - 5704\/(-104). Suppose g = 3*l - 62. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-8 - -10 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from ysynsssllnynl?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2152.1 - -2152. What is the nearest to 42 in 0.1, -0.2, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21 - 1000120100011122?\nAnswer: -1000120100011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 10:24 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 18392293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*g + 27*g - 538 + 146 = 59*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 3:03 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-54)\/(-48)*2\/(-3)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of -173*h**7\/21 + 169*h**3\/2 - 267*h. What is the second derivative of c(m) wrt m?\nAnswer: -6920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1\/1039 + 4147\/9351. Let l = 340 + -340.2. What is the biggest value in l, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5\/3, -2\/17863, 3\/2, -0.1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2648.94 months to millennia.\nAnswer: 0.220745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2*q - 27. Let t be k(15). Let x(h) = -h**t + 5*h**2 + 3*h - 8 + h**2 - 4*h**2. What is the tens digit of x(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 120052.71 months?\nAnswer: 1000.43925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*b + 8*b = 290. Let h(i) = 7*i - 1. Let f be h(1). Suppose 0 = 3*g - 5*z - 56, 20 = z - f*z. Solve b*u - g = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 62.21 - 62.51. What is the smallest value in 4\/5, h, -8, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 608709330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5985.\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z + 3. Suppose 2*p - 5 = 1. Let l be s(p). Is l + 22 - 5\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00050071 rounded to 5 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*s - 38*s - 27*s**2.\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*w**3 + w**4 - 2*w + w**4 - 9*w**2 + 61*w**2 + 6*w**3 to the form d + u*w**2 + r*w**4 + b*w**3 + q*w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*b - 14*b - 32853 = q, -3*b - 164311 = 5*q. What are the prime factors of q\/(-153) + 2\/9?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 323*n = u + 1316, 335*u = 332*u - 4*n - 56 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1241 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 49853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1728)\/(-10) + 23\/115.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -386*o - 19 = -384*o - 5*f, 2 = -o - 5*f for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -257\nAnswer: -3\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*u + 11. Let i be u\/(-2)*30\/(-9). Let o = i - 2. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3679967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 5 = 2*n. Let j be ((-7)\/((-14)\/(-8)))\/n. Solve -j*f + 4*v = 4, 0 = 7*f - 3*f + 3*v - 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.416524um to millimeters.\nAnswer: 0.003416524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 65 + -63. Let k = -2 - -4. What is the least common multiple of k and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -2*n + 170. Let j be (-4)\/(-18) - n\/45. Suppose g + j*w - 13 = 0, -g + 2*w = -2 + 1. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 6114060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 39526 - 21949. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.4701576 to 1 decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -21 + 3*w - 12*w**2 + 10*w**2 + 11 - 3*w**4 - 4*w**2 in the form p*w**2 + b*w**4 + t*w**3 + g + y*w and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-16)\/(-12) - (-15)\/9. Let d(p) = -1. Let i(s) = s + 11. Let x(k) = -3. Let b(q) = -2*i(q) - 9*x(q). Determine o*d(t) + b(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + 34?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of 13*l**3\/3 - 4*l**2 + 7*l + 8114. Give p(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 644202389 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227 is divided by -26 - -21 - (-2 + 1 + -79).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**2 - 3*z**2 + 2*z**2)*(-3*z + 7*z - 3*z) + (0 + 0 - 3*z**2)*(2*z - 2*z - 2*z) - z**3 + 5*z**3 - 3*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23238659 + 29*b**3 - 23238659.\nAnswer: 29*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1 + 7.209.\nAnswer: 7.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 757417 is divided by 174.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 17 + 2 + 0\/1. Let q = h + -8. Calculate the remainder when (-1)\/(0 + (-1)\/20) is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1215)\/54)\/(-15)*16\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3d + 1b8de?\nAnswer: 1b91b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 191 - 179. Let z(t) = t**2 + 4*t + 4. Let k be z(-3). Put l, 0, -4, k in decreasing order.\nAnswer: l, k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3407*s + 34067. Give p(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 343610 (base 7) in base 3?\nAnswer: 10010011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10980 and 20?\nAnswer: 10980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -64*g + 16*g**2 + 64*g to the form p*g + t*g**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*(0 + -3) - (-77)\/(231\/21). Solve -4*d = -w - 7, -d - w + p = w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 7*x**2 + 161*x + 24. Let v(j) = 5*j**2 + 161*j + 28. Let h(s) = 8*g(s) - 9*v(s). Factor h(n).\nAnswer: (n - 15)*(11*n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3230 and -10.\nAnswer: -32300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 AM and 12:40 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 192*b**3 - 65*b**3 - 62*b**3 - 62*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -g**2*y**3 - 2277*g**2*y**2 - 380*g**2 - 13896*g*y**3 - g*y - 2*y**3 wrt y.\nAnswer: -6*g**2 - 83376*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*(-4*(sqrt(200)*-2 - sqrt(200))*1 + 0))**2.\nAnswer: 480*sqrt(2) + 115201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2591 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + 3*s - 3*s + (-4 - 2 + 4)*(-3 + 3 - s) + s - 3 + 3 + 3*s - 47*s - s + 1 - 3*s - 1)*(3 - 3 - s + (-1 - 2 + 4)*(-4*s + 2*s + 0*s)).\nAnswer: 141*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*t**2 - 2789700*t + 929901.\nAnswer: -3*(t + 309967)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147 is divided by 95\/570 + (-59)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 + 2*o**2 + 4*o - 3. Let f be -2*(1 - 2)*1. Let k be a(f). Suppose -19 = -k*s + 1. Solve 3*n - 3*x + 18 = 0, x - s = -0*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -4*k - 2. Calculate w(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 132, 250, 368, 486?\n\"Answer: 118*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*m**3*y - 8793641*m**3 - 239*m**2*y - 22*m*y + m - 2*y - 37 wrt m.\nAnswer: 12*y - 52761846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/9974370 and 113\/1365.\nAnswer: 129666810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t + 10. Let h be b(-15). Let y be 39\/(-15) + (-2)\/5. Put y, h, 4 in ascending order.\nAnswer: h, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of -c**7\/840 + c**4\/3 - 2*c**2. Let x(j) be the second derivative of b(j). Let v(d) = 0*d + 2*d - 3*d. Give x(v(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 4550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*c**4 - 1410*c**3 - 3*c - 51869 wrt c.\nAnswer: 8*c**3 - 4230*c**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(12\/(-40))\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/(-2))\/((-6)\/624). Suppose -i - 3*i = -r. Solve 4*h + 0 = 3*u - i, 3*h + 2*u - 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2328 - 1638. List the prime factors of v.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/4*c - 3\/2*c**2 - 9\/4*c**3 + 0.\nAnswer: -3*c*(c + 1)*(3*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5 + 10)*(-4)\/(-10). What is the third derivative of -5*m**3 + g*m**2 + 3*m**3 + 4*m**3 wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22156*j*l**5 + 2*j*l**4 + 32*j*l - 3007*l wrt l?\nAnswer: -443120*j*l**3 + 24*j*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + 2. Suppose -w + z = 2*s - 2*w, -4*w = s - 2. Find the third derivative of 0*d**6 - 4*d**6 - 3*d**s + 5*d**6 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 16, 17, 8, -11, -40, -79, -128?\n\"Answer: -5*p**2 + 16*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.270911 millilitres to litres.\nAnswer: 0.001270911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.064 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 204063*d**2 + 65596*d + 3 wrt d?\nAnswer: 408126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of 3*i**4\/4 + 4*i**3\/3 - 3*i**2 + i - 6. Is g(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41\/5 smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {g: 3, e: 4, x: 6, d: 2, y: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -502*x - 1. Let n(h) = 3*h**2. Determine n(l(q)).\nAnswer: 756012*q**2 + 3012*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 23*g**3 + 3*g - 79?\nAnswer: 69*g**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve o**2\/5 - 30*o - 936\/5 = 0 for o.\nAnswer: -6, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 93895, 187780, 281665, 375550?\nAnswer: 469435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 31.47 * 920.\nAnswer: 28952.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4899 or 4915?\nAnswer: 4915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 - 32*l - 65. Let k be w(-7). Calculate the greatest common divisor of k and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 45.72 + -47. Let j = h + 1.28. What is the third smallest value in 2\/15, j, 2\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -5, -1.\nAnswer: -14, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/((-3)\/3 + 3). Suppose 3*r + 3*u - 5 = 4, d*u = -2*r + 8. Solve 0 = -r*m + 4*z - 2, -5*z + 5 = -5*m - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/((-40)\/150*10*-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(2*(sqrt(112) - 3*sqrt(112)) + sqrt(112) + sqrt(112)*-2 + -2)*-2 + 3)*-2)**2.\nAnswer: 36800*sqrt(7) + 1122116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8271.2646 nanoseconds in hours?\nAnswer: 0.0000000022975735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000067395 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -64 - -50. Sort m, 3, -3, 0 in increasing order.\nAnswer: m, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 34*k**2 + 80*k - 57. Let t be f(27). Suppose y + 4*a + t = 6*y, 0 = 2*y + 4*a - 10778. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4291175 and 735.\nAnswer: 12873525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -158642.26*4.\nAnswer: -634569.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -23 less than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of -f**6\/600 - f**5\/150 - f**4\/120 + 4*f**2. Factor r(l).\nAnswer: -l*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 667052 and 1292?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 104, -1\/4, -15\/8, -0.02, 0 in increasing order.\nAnswer: -15\/8, -1\/4, -0.02, 0, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 2*t + 4*v - 18, -15 = 5*t - v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 315477 is divided by 6856?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 - 6*m + 9. Let l(f) = -3*f - 25. Let k be l(-10). Let s(w) = -7*w + 27. Let p be s(k). Determine x(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -129*d**3*j + 25*d**3 + 9*d**2*j**2 + 194 with respect to j.\nAnswer: -129*d**3 + 18*d**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (-2*sqrt(76)*-2 - sqrt(76) - 5*(sqrt(76) + -1*sqrt(76) - sqrt(76)))*-4)*-3.\nAnswer: -15 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 5 = -2*u + 3*d, 3*u = -3*d + 6. Let a be (-2 + u)\/(-1*1). Suppose 0 = -19*g + 10*g + 36. Sort 0, g, a in ascending order.\nAnswer: 0, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*((-8)\/28)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 10:47 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*z + 13 = -81*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -52.2 + -11.8. Let k = 67 + i. Let o = -0.1 - 0.4. What is the third biggest value in k, o, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from offlcfx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.00296 + -1.69704. Put -1, 2\/25, m in decreasing order.\nAnswer: 2\/25, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33 - 22 + 6 + 2*v - 2 + 51.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2308 = 9*z - 374. Let c = z - 3280\/11. Let s = -0.1 + 0.1. Put s, c, 1 in descending order.\nAnswer: 1, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 20 = -2*q - 3*q, -3*q = -4*f - 12. Suppose 5 = q*j - 7. What is g in -2 + 0*g**3 + g**j + 2*g**2 + 2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -3*s + 12. Give a(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123285594?\nAnswer: 2, 3, 20547599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*h - 12*h = 662193. Suppose 3*f + 31086579 = 4*u, -f - 7*u - 10362193 = -2*u. Let w = f + h. Round w to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.55378 litres to millilitres.\nAnswer: 8553.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 7.3 + -17\nAnswer: -9.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*d + 94 = -53*d. Suppose -23 = -4*n - 5*u + d, 0 = -n - 4*u + 23. Suppose b + 6 = 3*b, -5*p + 2*b + 4 = 0. Sort p, 5, n in ascending order.\nAnswer: p, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31 - -31.19. Is f < -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 581 = -y, 2*y + 259 = -2*a - 321. Let j = a + 3781\/13. What is the closest to 1 in -9, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, -11, -31, 5.\nAnswer: -31, -11, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 69 in 4, 14, 0.1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10575898439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.25 * -271\nAnswer: 67.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0332955 to 5 dps.\nAnswer: -0.0333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 7*s - 11929998 = 6*s, 5*w - 59649992 = -4*s. What is w rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1188 is divided by 175?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -53.48 to zero dps.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 53356307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 - 6437114.\nAnswer: -6437114.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 1. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144*c - 142*c = -u + 127, 707 = 5*u - 2*c. Solve 0 = 138*f - u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 - 6. Suppose 409 = 9*z + 166. Differentiate 9 - i*f**4 + z*f**4 + 4 wrt f.\nAnswer: 72*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 6*t**2 - 11*t - 2. Give a(-5).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q = q + 518 - 630 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 242389, 969595, 2181611, 3878437?\n\"Answer: 242405*n**2 - 9*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -567 - 0.5968?\nAnswer: -567.5968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19 - -23. Suppose -2*f = -4*k + 4, 5*k = w*f + 2 + 3. Suppose -3*n + n + 18 = -4*i, -4*i = -n + 15. Is n less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, -13, -12\/17, 4, -1\/4 in decreasing order.\nAnswer: 4, -1\/4, -4\/7, -12\/17, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in thirteen fifths of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -10 + 1000?\nAnswer: aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -105*l + 69*l**2 + 90*l**2 - 151*l**2 to x*l**2 + u*l + q and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let v = -172 - -823. Let k = v + -459. Suppose 5*l = -52 + k. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4273100 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -755766284 divided by -94874\nAnswer: 7966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 119540 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 442 (base 13) to base 10\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -823, -1645, -2453, -3241, -4003, -4733?\n\"Answer: f**3 + f**2 - 832*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -25.6915 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 - -16. Let a(q) = -10*q**3 + 4*q**2 - 10. Let w(j) = -j**3 + j**2 - 1. Let g(d) = r*w(d) + a(d). What is the derivative of g(u) wrt u?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-1)*p)**7\/((p**(-3\/4)*p)\/p**(6\/11)) assuming p is positive.\nAnswer: p**(321\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 230 and -1000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -631, -1525, -2679, -4093, -5767, -7701, -9895?\nAnswer: -12349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31499508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/209814 and 33\/20?\nAnswer: 2098140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 44753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -10032 divided by -3344\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*r**2 + 8260*r - 303888.\nAnswer: -4*(r - 39)*(3*r - 1948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*s**3 - 53*s**2 + 2 - 2*s**5 + 26*s - s + 0*s**3 wrt s.\nAnswer: -40*s**3 - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 191 = -2*p, 0*p + 3*p - 287 = b. Let u be (10\/(-3))\/(p\/(-36)). What is the third smallest value in -3, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 227*p + 18394. What is q(-81)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1904\/(-280) + -28*(-2)\/8.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*t + 8169 = 73*t. Let h = t + -378. Calculate the greatest common factor of h and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 2*v + v + f, 2*f - 48 = -5*v. What is the remainder when 23 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**22*h**(-15\/4) assuming h is positive.\nAnswer: h**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5347 is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m**3\/7 - 1495996*m**2\/7 + 139873007980*m\/7 + 419632488012\/7 = 0 for m.\nAnswer: -3, 187001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 + 1. Let i(j) = j - 3. Let t be i(2). Let c be (t*2)\/((-3)\/(-3)). Give n(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (1 + 1 - 5)) + 240 + -84 + -94.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 12) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15271, -15277, -15297, -15337, -15403, -15501, -15637, -15817?\nAnswer: -16047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12.2 - -3.8. Let c = 16.8 - n. Round c to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23 + 23 - 28*f - 2 - 2 + 2 + 3*f + (-1 + 5 - 3)*(-f + 0*f + 2*f) + 7*f + 4*f + 6*f.\nAnswer: -7*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -209387.\nAnswer: -3\/209387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -498 + 1890. What are the prime factors of s?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -43554 or -43525?\nAnswer: -43525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -152, 0, -15\/3448, 3?\nAnswer: -15\/3448","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 331632 and 846.\nAnswer: 331632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -248*p**3 - p**2 + 2*p + 3. Let g be o(3). Let q = g + 147237\/22. Let w = -484\/21 + 2365\/126. Find the common denominator of q and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/7 + 1009185*j**2\/7 + 36373009725*j - 181868652875.\nAnswer: (j - 5)*(j + 504595)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/(7 + -4) - (-4)\/(-2). Let n(h) = 24800*h**2 - 2*h - 10. Let z be n(x). What is z rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*4 + 19 + -12. Suppose -m*b = -14*b - 5*h - 902, -4*h + 4568 = 5*b. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 868979536 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 332421.\nAnswer: 3, 110807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4555276699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 92937 and 9893?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 9, -3*g + 566 = 2*g - 2*s. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -0*b - 2*b + 16, 23 = 3*j - 4*b. Suppose 8 = -r - 3*p, j*p + 0 + 2 = 4*r. Let l = 4 - 1. Sort r, l, 2 in descending order.\nAnswer: l, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**1)\/m)**(-2\/3)\/((m\/m**0)\/m**(-2\/17)) assuming m is positive.\nAnswer: m**(-91\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 equal to 2380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12.504?  (a) 2  (b) -2\/3  (c) -1  (d) 5  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dsr when three letters picked without replacement from rkdekuukdsd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 27228866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -64*w - 1334. What is h(-14)?\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let f = -199 - -299. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 AM and 12:32 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 256 = -b, -4*j - 5*b = -b - 192. Let a = 62 - j. Suppose 4*y = 3*y + 4*v + 40, 5*v + 65 = 2*y. What is the lowest common multiple of a and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*f*l**2 + 257*f*l - 658519*f + 174*l**2 - l - 117 wrt l?\nAnswer: -10*f*l + 257*f + 348*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.1  (b) -5\/2  (c) -4  (d) 19\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 2*j + 476 - 1508 = 0, 3*j + 678 = 2*x. What is the least common multiple of 6 and x?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 8:32 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**5 + 2*x**5 - x**5)*(1 - 1 + 1 + 4 + 0 - 2 + (41 + 2 + 0)*(-4 + 3 - 1)).\nAnswer: -166*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -3*t**2 + 5*t - 8. Let s be r(3). Let u be ((-11)\/(220\/32))\/(2\/s). Let k = u - -2. Calculate the greatest common divisor of k and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 less than -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/850 and -101\/340.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*y**2 + 2*y**2 - 3*y**3 + 23433*y - 23434*y - 1 as m*y**2 + i*y**3 + x + q*y and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -7065+10.4\nAnswer: -7054.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 6*g + 3. Let c(s) be the third derivative of 17*s**4\/24 + 4*s**3\/3 + 3*s**2 - 70. What is 4*c(i) - 11*v(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = 5*g - 0*k + 20, 0 = -3*g + 3*k - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 20*q + 14. Let s(w) = -7*w - 5. Let n = 14 - 0. Let j(u) = n*s(u) + 5*x(u). Let l(y) = y**2. Determine l(j(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 586481280 a multiple of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 224324.123193 - 224324. Let o = f - 0.123. Round o to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p - 2. Suppose -3*m - 5*o = 51, 27 = -3*m + 5*o - 24. Let c be w(m). Let x be (-4)\/(-3) + 10\/c. Calculate the greatest common divisor of x and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(250)*2)\/(5*sqrt(4)\/sqrt(2)*-5).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 7*h - 1170. List the prime factors of h.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 + 7*i**2 + 5*i - 3. Let m be j(-6). Let o be -3*(-2)\/9*m. Let s = o + -2. Which is smaller: s or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + f = 22, -f + 12 = -3*v - 0*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5269409, 21077820, 47425171, 84311462, 131736693, 189700864, 258203975?\n\"Answer: 5269470*p**2 + p - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 561147?\nAnswer: 3, 187049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -271*v**3 + 3*v**2 + v - 5. Let c = -37 + 42. Let j be d(c). Round j to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -162512 - 162513 - 8*g + 325026 - 14*g**4 + 8*g**2 + g**3 in the form d*g + j*g**3 + l + x*g**2 + o*g**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1218*t**2 + 3560 + 3561 - 1197*t**4 - 7121 wrt t.\nAnswer: -28728*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 71 = -139. Suppose -7*g = -6*g - h. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4365 - -4454. Solve 95*x - a*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 342 = 5*i + 4*y, -4*i = -2*y - 270. Let z be (-10)\/(-30)*(-99)\/i. Let a = -4\/17 - z. Is a greater than -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7588 and 400695722?\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9 - 274\/40 - 1\/4. Let k(y) be the second derivative of 3*y - 25\/21*y**7 - 4*y**2 + 8\/3*y**3 - 11\/3*y**6 + 23\/6*y**4 + 0 - w*y**5. Factor k(h).\nAnswer: -2*(h + 1)**3*(5*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -718+-907\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 285 and 135.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.1993 rounded to two decimal places?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 478534027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 216121?\nAnswer: 17, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -15*g**2. Let u(q) = -q**2. Give f(i) - 12*u(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-182 - 128 + 73)*(8*w - 2 + 0*w - w) + (5*w - 2*w - 4*w)*(-2 - 1 + 1) + 0*w + 0*w + 2*w.\nAnswer: -1655*w + 474","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 + 2*n + 18. Calculate k(9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/12 + 455\/(-42). Let f(y) = -y - 8. Let l be f(h). Is (1 - 20)*l\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -263670 rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 4\/5  (c) 3  (d) -0.07  (e) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 2 = -2*c, 4*c + 24 = -4*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-11))**(-3\/2)\/(w**17\/w**(-19\/5)))**(12\/19) assuming w is positive.\nAnswer: w**(-258\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 6*b - 2. Let r(l) = -5*l + 1. Let o(j) be the third derivative of -j**5\/60 - 5*j**4\/24 - j**3\/3 - 3*j**2. Let u be o(-3). Calculate u*r(z) + 3*n(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -1*(4 + sqrt(99) + 1))**2.\nAnswer: 30*sqrt(11) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (43 + -42)\/((6\/(-8))\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 372089 and 284?\nAnswer: 105673276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mcm when three letters picked without replacement from ccmcmmcccmcccccccccm.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(u*u**7\/u*u))\/(u*u**6\/u))\/((u*u\/((u**(2\/5)\/u*u)\/u)*u)\/u*u*u**2))\/(u**(-2)\/(u*u**1)*(u*(u\/u**0)\/u*u)**(-4)) assuming u is positive.\nAnswer: u**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 259388 - 259386 - 3*k + k + 921*k**2 as n*k**2 + o + t*k and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 513 - 3?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1335 and 32610.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1571 - -1531. Is c at least -311\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -22 + 18. Is 8\/v - 84\/(-4) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 918 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 40\/70*(-21)\/(-6). Solve -b + 3*g = g, c*b - 2*g = -4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - 0) + (-12 - (-4 + (9 - 19))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1246*q**2*x**2 - 2*q**2*x - 4750*q**2 - q - 23*x**4 + 3*x wrt x?\nAnswer: -2492*q**2 - 276*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 25 = t. Let q = -0.3 + 0.2. Let i be -4 + (828\/15)\/12. Sort i, t, q.\nAnswer: q, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of c**6\/120 - c**5\/12 - 5*c**3\/6 - 37*c**2\/2 - 38*c. Let k(j) be the first derivative of z(j). Determine k(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -2*b**2 - 102. Let v(o) = -506*o. What is g(v(w))?\nAnswer: -512072*w**2 - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1346*a**3*o**2 - 29*a**3*o - 2*a*o**2 + 67*a*o wrt o.\nAnswer: 2692*a**3 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 AM and 1:55 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = d - 6*d + 855, 2*j = d - 177. Calculate the remainder when d is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1660510440 and -30.\nAnswer: -1660510470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + b**2 - 2)*(-2*b + 2*b - 2*b**2) - 9*b**4 + 23*b**4 + 13*b**4.\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 - 3*f**2 - 3. Let u be (-3 + -3)*(-1)\/(-2). Let q be g(u). What is the units digit of -3 - (q + (-1 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.11, 2\/7, -1168\/7?\nAnswer: -1168\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of -o**5\/60 - o**4\/8 + o**3\/3 - 2*o**2. Let b be a(-4). Let m(q) = -2*q - 2. Let d be m(b). Do 1\/2 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - (-2 + 0 + -1). Let q = -4 + -3. Let i(p) = -p + 22 - 24 + 5. Let n(j) = j**3 - 2*j + 7. Determine h*n(x) + q*i(x).\nAnswer: 3*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-180)\/(-9))\/((-252)\/63).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 419289554 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -9, 0 in increasing order.\nAnswer: -9, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0155 and -18853.\nAnswer: -292.2215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/6*48\/1312.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 3554, 3\/7, 0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 193, -6, -71 in decreasing order.\nAnswer: 193, 9, -6, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y**2. Let j(u) = 0*u + 5*u - 8*u**2 + 2*u - 6*u. What is j(b(s))?\nAnswer: -32*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -464541, -464560, -464593, -464640, -464701?\n\"Answer: -7*d**2 + 2*d - 464536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14 - 45?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(150))\/(-2*sqrt(32)) + -4)**2.\nAnswer: 30*sqrt(3) + 931\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9098 - -2311. Let l = v - -9674. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 129092259 to the power of 1\/2, to the nearest integer?\nAnswer: 11362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, -3, 2167, -2\/17 in ascending order.\nAnswer: -3, -2, -1, -2\/17, 2167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/50 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1832, 1833, 1834, 1835, 1836?\nAnswer: 1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 821140.\nAnswer: 2, 5, 41057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*c - 29. Differentiate 0 + c + 3*f - 2 - 6 with respect to f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 14585 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of z**3\/2 + z**2\/2 + 2*z. Let n be t(1). Suppose -2*m = v - 19 + 4, -n*m + 37 = 3*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 705 is divided by 162.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1444 - 1453 + 4270 - 7*f - 1373.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000149430133 to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (115 + 4 - 114) + -84.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62223 is divided by 31101.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 15) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*y + 2. Suppose 3*g + 2*g + 235 = 0. Let t = -187\/4 - g. Is y bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/174*(-680)\/(-238) + 500\/(-84) + 6.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((6 + 2 - 3)*(-y + 1 - 1) - 13*y + 5*y - 5*y + 2*y + 5 - 5)*(2*y**2 - 3 + 3).\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1494 divided by 26?\nAnswer: 747\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, -1538.7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2016*x**2 + 134 - 62 - 4*x - 178*x**2 - 42 + 45*x wrt x?\nAnswer: 3676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -5*u**3 - 6*u**2 + 13*u + 6. Let c(i) = -2*i**3 - 3*i**2 + 7*i + 3. Give 7*c(o) - 3*p(o).\nAnswer: o**3 - 3*o**2 + 10*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:46 AM and 3:19 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.2  (b) -10\/39  (c) 5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of -i**5\/12 - 5*i**4\/16 - 5*i**3\/12 + 2*i**2 + 24. Let h(u) be the second derivative of k(u). Suppose h(v) = 0. What is v?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -289 = -7*v - 100. Let q = 27 - v. Solve 2*x - 4 = -q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*u - 229 - 221. Let w(q) = -q**2 - 51*q - 20. What is the least common multiple of 6 and w(u)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 944 is divided by 74?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 7}. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -15242, 0, -4.7, 1 in descending order.\nAnswer: 1, 0, -4.7, -15242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1553273329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 231321043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -643 - -974. What are the prime factors of n?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13135 and 3515?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1626592*v - 1626592*v - 11*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 50625 and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18983 is divided by 83.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1374868132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -152081945 divided by -929.\nAnswer: 163705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -4 + sqrt(1584))*-4 + (-1 + sqrt(891) + -4 + -4)**2.\nAnswer: -210*sqrt(11) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*(s\/s**6)\/s)**24*s**(-7)\/(s\/s**(-1\/21)) assuming s is positive.\nAnswer: s**(-2185\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 divided by -277?\nAnswer: -25\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -61, -165, -313, -505, -741, -1021, -1345?\nAnswer: -1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*v - 2*v + 4*g, -4*v + 3*g + 5 = 0. Suppose 3*n - 4*m = -3*m + 485, 4*m = -v*n + 300. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7900, -7901, -7902, -7903, -7904, -7905?\nAnswer: -7906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 102705 - -2?\nAnswer: 102707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = 5*m + 2*r - 50, -5*m - 5*r + 10 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, -1.32, -1\/8, 1\/8?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7529 + -7909.9. What is i rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*o, 4*o - 20 = -5*j + 3. Let u = j - -98. Let c be 1\/(2\/34) - 2. Calculate the greatest common factor of u and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p - 3*u + 3 = -3*p, 4 = 4*p - 2*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ae938 (base 15) to base 11\nAnswer: 34a461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f + 4 = 24. Let a(v) = 2*v + 3. Let z be a(-4). Sort f, -2, z in decreasing order.\nAnswer: f, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -16*w**2 + 13*w + 85. Let d(t) = -7*t**2 + 7*t + 42. Let y(q) = 14*d(q) - 6*g(q). Factor y(s).\nAnswer: -2*(s - 13)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2677894949.\nAnswer: 127, 21085787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 924 and 118786668.\nAnswer: 118786668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11083700 + 11083058.9729. Let a = 704 + -63. Let i = q + a. What is i rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 260601660, 260601662, 260601664, 260601666, 260601668, 260601670?\n\"Answer: 2*v + 260601658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-188)\/(-22) - (-39 - (-8700)\/220)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26 is divided by (-1 + 2)*(3 + 11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35359645409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + 0)*((-15)\/10 + 5 + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1193496887 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from xjxahchcxc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 2 - 8*p + 8.\nAnswer: -8*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-60)\/(-70))\/((-2)\/(-7)). Solve 6*j + 3 = -t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122*b = -119*b - 3. What is the closest to 5 in 1\/5, b, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 2\/131, -297\/10, -3, -41 in decreasing order.\nAnswer: 1\/4, 2\/131, -3, -297\/10, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4136 is divided by 594?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 86 - 22. Let i = 64.49 - j. Let u = i + -0.19. Which is the biggest value?  (a) u  (b) 0.5  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t + 11 + 19 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 162 divide 75428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22647*w**2 - 2*w + 41768?\nAnswer: 45294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - 2) + -2 + (64 - (158 - 93)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 + 4*f**2 - 3*f + 6. Suppose 24 = 2*d + 2*d. Suppose -3*q - j - 9 = -2*j, 3*j = 5*q + 19. Let a = q + d. Give w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -3*c + 2366, -1148 = -c + 5*d - 366. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -15664*p - 42757. Calculate q(-3).\nAnswer: 4235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113389?\nAnswer: 149, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -992 - -991.6. Let t = -3 + -2. Let k be t\/((-15)\/(-2)) - -1. Which is the closest to k?  (a) j  (b) -5  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -28*w**3 - 2508*w**2 + 3628*w - 1092 = 0.\nAnswer: -91, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 586014609.\nAnswer: 3, 59, 283, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 164 + 1105053?\nAnswer: 1105250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p**2. Let j(q) = -26*q**2 + 40*q**2 - 21*q**2. What is w(j(n))?\nAnswer: 98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1a42 + 21c5?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 7 + 18 = 0. Let t be (3\/(f + -2))\/(-1). Let i be -1 + (0 - -3) + t. Which is smaller: i or 5\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 754465.\nAnswer: 5, 150893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3152598 - 4?\nAnswer: -3152602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 48449, 97488, 146527, 195566?\n\"Answer: 49039*g - 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/34, -4, -52\/4817.\nAnswer: -4, -3\/34, -52\/4817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffff. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/159768 and 125\/132.\nAnswer: 1757448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -242 + 132431?\nAnswer: 132134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, 2\/7, -1\/19, 3\/4, 39.54?\nAnswer: 39.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -932, -953, -1002, -1091, -1232, -1437, -1718?\n\"Answer: -2*s**3 - 2*s**2 - s - 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 110 (base 15) to base 3\nAnswer: 22220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -4 + (-4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 223 divide 360635892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123*c + 170*c - 316*c.\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w - 21*w + 305 = 0. Suppose c - 34 = -4*m, w*m - 63*m - 74 = -3*c. What is the remainder when 119 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 697 - 1395\/2. Which is the nearest to m?  (a) 0.4  (b) 1\/45  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h*h**(-1\/5)\/h*(h*h**(5\/6)\/h)\/h)\/(h**(-2)\/h**(-9\/4)))\/(((h**(-1)*h*h)\/h)**39*((h\/h**(5\/2))\/h)\/h*h\/h**(1\/5)*h) assuming h is positive.\nAnswer: h**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1516941539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(((-6)\/21)\/2). Let t(o) = 3*o + 3*o - 5 - g*o. Let s = 19 + -19. Give t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-9))\/(3\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -22 + 24 + 187 + 5 + -1 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*b + 19*b - 68 = 2*f, -3*f = 5*b - 52. Calculate the greatest common factor of b and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 0.25.\nAnswer: -1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/158 and 53\/3239.\nAnswer: 6478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 40*4\/25*10. Calculate the highest common divisor of k and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 35112 and 84?\nAnswer: 35112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5297*t + 49835 + 234206 = -162572 - 204918 for t.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 2 = 5*p - 8, 4*p + 4 = -d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - (1 - -6)) + (-264 + 249 - (-1 + 16))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13421829*p**2 + 20873911.\nAnswer: -26843658*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 552 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 161\/120 and -47\/1296?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 5992 = -w, 2*w + 7*f = 4*f - 11984. Let j = 10219 + w. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -3*q. Suppose 0 = 36*f - 37*f. Let c(x) = f*x - 5*x - 5*x - x. Calculate v(c(i)).\nAnswer: 33*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-172)\/12 - -4 - 1)*(-9 - 420\/(-35)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -273 take away 496.978216?\nAnswer: -769.978216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -66*y**3 + y + 1. Does 22 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(252\/96))\/((-9)\/(45\/(-10)))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-1.76\nAnswer: -0.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36413 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 66 = 2*f. What is the common denominator of 120\/(-30) + 137\/45 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q + 0*q = -1278. Let r = q - -416. Let s = 948 - r. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 375 and 9915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sysqyqqmq. Give prob of sequence ym.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*l + 14*l + 160 = -12*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 32901922 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1226 divided by 17?\nAnswer: 1226\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**41\/p)\/(p**(3\/37)*p) assuming p is positive.\nAnswer: p**(1440\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 0.39264358?\nAnswer: -0.78528716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 l when three letters picked without replacement from {j: 2, l: 9}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -500675.1 rounded to the nearest 10?\nAnswer: -500680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.4, 0.2, -32?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -4*w**3 - 5*w**2. Let a(l) = l**3 + l**2. Let o(b) = b**2 - b - 5. Let c be o(-4). Let j be (-6)\/(-4)*4\/10*5. What is c*a(q) + j*f(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**4\/(b\/(b\/b**(-4\/3))))**(-1\/4)\/((b**(-1\/2))**7\/(b*b\/b**5*b**(1\/8))) assuming b is positive.\nAnswer: b**(-17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*l + 499 = -0*r, 2*r = -l + 998. Let c(h) = 12*h + r - 5*h - 506. Calculate c(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 254602 divided by 10.\nAnswer: 127301\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (42 - (13 - 18)) - (-2 + 11 - 0)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + 2*a**2 - 70*a - 779. Let z be b(-14). What is the greatest common divisor of 47 and z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*w + 6 - 6)*(-2*w + 0*w + 4*w) + 2*w**2 + 0*w**2 + 0*w**2 + (0*w - 3*w + 2*w)*(-2*w - 2*w + 2*w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 682 + -655. What is the remainder when 671 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 746 divide 9154166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 88600, 178207, 267814, 357421?\n\"Answer: 89607*b - 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171)*1*5)\/(sqrt(99)\/sqrt(176) + sqrt(9) - sqrt(9)))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the second derivative of -n**4\/12 + 2*n**3\/3 + 3*n**2\/2 + 12*n. Let b be x(3). Let m(l) = -l + 6. Give m(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110101001 - 10010011111?\nAnswer: -101001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 1\/2  (b) -4  (c) -0.5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8228*f**3*r**3 - 3*f**3*r - 3*f**3 + f**2*r + 3*f*r**5 + 171*f*r wrt r.\nAnswer: -49368*f**3*r + 60*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*r - 241 = -219 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 36*o - 6. Let f(y) = 10*y - 4. Let z(k) = -8*k + 3. Let b(s) = -5*f(s) - 7*z(s). Calculate 34*b(x) - 6*w(x).\nAnswer: -12*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19573\/20 + 978. Let q = -48475\/9412 + 4\/11765. Let p = m - q. What is the common denominator of 29\/9 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -253241056, -506482117, -759723178, -1012964239, -1266205300?\n\"Answer: -253241061*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 230541613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 3*v**2 + 3*v - 9. Let y be f(-3). Let m be (5 + -2)\/(y - 10) + 7. Solve 0*d + 2*d = -4*u - 8, -m*u = -3*d - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35355797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -3 + -10 + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -991105\/348 - -2848. Let f = -3295\/3828 + z. Calculate the common denominator of f and 19\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4079 is divided by 195.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000047165 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -1 - (41 + -47)) + (157 - 50)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 4*p - 33 = 0, -5*o = 3*p - 32 - 4. Let h = -4 + o. Solve 4*c + 2*a - 24 = 0, 0*c = -c - h*a + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - -4095?\nAnswer: 4095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50*a**2 - 13*a**3 - 50*a**2)*(2 - 2 - 5)*(1 + 5 - 4)*(-a + 15*a + 0*a).\nAnswer: 1820*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7546\/56 - 9\/12. Let x = 136 - o. Solve n = -6*y + 4*y + 13, -x*y = -2*n + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 553543 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2 + 4*y - y - 2*y + y. Let g be p(3). Calculate the greatest common factor of 72 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26453630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/m**(-2\/3)*m)*m**(-3\/8)*m*m)\/(m\/(m\/m**8)*m**(-9)) assuming m is positive.\nAnswer: m**(23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-14) + (-85)\/2618*11. Let m be 8 + -4 + 1 + -1. What is the third biggest value in -5\/7, h, m, -4\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3957 + -3956.6. Let a = -0.23 + -0.07. Let v(d) = -d**2 + 5*d + 1. Let o be v(4). What is the closest to -1 in a, n, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5984)\/(-220) + (-513)\/19 - 1\/3\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 790 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 135705.1417 to the nearest 100.\nAnswer: 135700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (78\/1638)\/(2*(-1)\/(-35))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00284104333 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 428 + 901 = 378*u + 195. Calculate the least common multiple of u and 12*(3\/2 - 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-2 - 17) + 3153 + -3157.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.09 + -0.09. Which is the closest to 8?  (a) -4  (b) 2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -148 * -19988.\nAnswer: 2958224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 - 8 = -3*p. Let v(t) = -34*t**2 + 33*t**2 + p*t - 2*t - 6. Calculate v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 365.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 15, x: 3}. What is prob of picking 2 d?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 164928472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 + 1. Let z(c) = 3*c + 5*c**2 + c**3 + 5*c**2 + 0*c**3 - 2 + c. Let r(v) = -4*l(v) - z(v). What is the remainder when r(-6) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2563000 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 220*w + 3419 + 16344 - 1063 = 0 for w.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3317823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89*n**3 - 43*n**3 - 45*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + 10016?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*a*n**4 - 4*a*n**3 - 5*a + 5084*n**4 + 3*n**3 + 2*n**2 - 68522 wrt n.\nAnswer: 48*a*n - 24*a + 122016*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h**2 - 50*h - 216. Give s(29).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o - 1. Let s be u(-3). Let d(t) = 1201*t + 36 + 31 - 69. Let f be d(s). What is f rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42 and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16538.89mm to meters.\nAnswer: 16.53889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3748)\/80 - -47)\/(2\/(-8))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccjuccmjxummjuucjvc. Give prob of picking 2 u.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3101733990*p + 10*p**3 - 3101733990*p.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 198 and 11.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 533109.\nAnswer: 3, 83, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t + 14. Suppose 4*a - 8*a - 40 = 0. Let b be p(a). Suppose b*s = 92 - 28. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5683425 divided by -13695?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + -4*sqrt(100)\/sqrt(5))\/sqrt(4).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/(a\/((a\/a**(-3))\/a)*a)*a*a*a)\/a**(-7)*a**(-3)\/a**(-1\/8))\/((a\/a**5)\/a**(-2\/5)*a**(-7)*(a**(-2\/17)\/a*a*a)\/a) assuming a is positive.\nAnswer: a**(14173\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (((-24)\/21)\/(-4))\/((-4)\/(-28)). Suppose l - k = -b - 0*l, 2*l = 2*b + 4. Suppose -p + 67 + 184 = b. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 92781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3758.\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/((-54)\/12)*(-9)\/(-2). Suppose 0 = -v + w*v + 3*n - 102, 3*n = v - 51. What is the greatest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -c**4\/12 - 122*c**2 + 2*c. Let y be v(0). What is the remainder when (1 - y\/16)*4 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1534864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 59*s + 530. What are the prime factors of f(5)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*x + 2*x - x)*(-3*x - 2*x + 3*x) - 7*x**2 - 33*x**2 - 78*x**2)*(1 - 2 + 2).\nAnswer: -114*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 31389*x**2 + 3*x - 22. Let b be v(6). Round b to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 91.306 + -0.306. Let i = 90.8 - d. Which is the nearest to 1?  (a) -8  (b) i  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 31 + 17*k**2 - 24 + k + k**3 - 11*k**2. Determine x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + n + (2*n - n + 0*n)*(-4 + 3 + 4))*(3*n**2 + 0*n**2 - 4*n**2).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -36150758.4 rounded to the nearest 1000?\nAnswer: -36151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 21*a + 124. Give d(3).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 790 - 159. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 473464678 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ajjbajjjasbajqbabbj. Give prob of sequence aqsb.\nAnswer: 25\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34 + -63. Let l = -43 - n. Let g be -4 - (-7)\/(l\/(-160)). 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: Find the common denominator of 48\/43 and -51\/4558.\nAnswer: 4558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than 12\/569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3, 1, -1, -0.6, 0.1, 0.5, 3585?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -2.99715?\nAnswer: 5.9943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (12\/(-6))\/(-17 + -1). Let p(t) be the second derivative of -1\/6*t**2 - 1\/30*t**5 + 2*t + 1\/90*t**6 + 0 + r*t**3 + 0*t**4. Factor p(a).\nAnswer: (a - 1)**3*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((-5)\/(-114))*(-345)\/46. Let h = 5 - 1. Suppose h*w - 95 = -w. Calculate the greatest common factor of s and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -3*v + 5*p, 5*v + 4*p = -p + 20. Suppose 0 = 3*i - 4*i + q + 5262, v = -2*i + 3*q + 10526. What is i rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c + 3. Let g(o) = -2*o**3 + o**2 + 2*o + 1. Let a(w) = w**3 + 7*w**2 - 8*w - 2. Let m be a(-8). Let u be g(m). Let v = u - 14. What is y(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2627*g*k**3*m - 445*g*k**2*m**2 - g*k*m - 167*k**3*m**2 - 18*k**3 + 2*k**2*m wrt m.\nAnswer: -890*g*k**2 - 334*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8366717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -48a5b7 - -2?\nAnswer: -48a5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2\/9  (b) -31  (c) 0  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2. Let a(h) be the third derivative of h**5\/60 - 67*h**3\/6 + 130*h**2. Determine a(f(y)).\nAnswer: y**4 - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 135 and 1136574855.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1\/2, -31\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -230 + 20*g**2 - 230 + 460. Let x(p) = 3*p + 3*p - 5*p. What is w(x(h))?\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - 1. Let i = -17 - -19. Put i, -2, u in descending order.\nAnswer: i, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.500039 to three decimal places.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -112161 divided by 327\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29 + -27. Suppose m*c - 6 = -3*k + 9, 0 = k + 3*c - 12. Suppose -k*z = -4*f - 113, -z + 5*f + 1 = -22. What is the remainder when z is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 51148.5981 + -51151. Let c = j - -2.617. Let b = -0.206 + c. What is b rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 8*b**3 + 2*b**2 - 3*b - 13. Calculate n(-3).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = -k + 5*q, -17 = 56*k - 54*k - 3*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 3*p**3 - p**2 + 31*p + 71. Determine c(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 + 349. What is the least common multiple of j and 18?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4652356 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - 22 - -22 - (-4 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4005677 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 33*z**2 + 8*z - 17. Let d be u(4). Factor d - x**4 + 8*x**3 + 6*x**2 - 551 + 3*x**4 - 8*x.\nAnswer: 2*(x - 1)*(x + 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -462 divided by -2?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 + 133*o - 4124. Give n(81).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2 - 6*t + 9. Suppose 0 = -2*w + 2*p - 19 - 5, -4*p = 2*w + 12. Let v = 3 + w. Let q be g(v). Which is smaller: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16101 + 5774 = 7*t + 616. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 + -7. Let l be (0*i\/(-2))\/2. Suppose l = 3*x - 0*x - 183. Is x a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4092)\/(-24))\/31*-2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 823157 by -41.\nAnswer: -20077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3789, -15151, -34087, -60597, -94681, -136339, -185571?\nAnswer: -242377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.06, 5, -2, -4\/5, -71\/2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3348 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 5408531  (c) -0.5  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 329045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 256 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*h**5 + 19*h**2*r**2 + 8*h**2 + 22*h - 2*r**2 wrt h?\nAnswer: -60*h**3 + 38*r**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 131899 times 4\nAnswer: 527596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6582 and 56496597.\nAnswer: 3291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 12, -0.068, 5, -1\/3, -8\/9, 0.4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.3 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of -b**2\/2 - 10. Let c(v) be the third derivative of v**5\/15 + v**2. Determine c(q(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 15) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/(-21))\/(6\/(-9))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 7*m**3 + 5*m**2 + 3*m + 2. Let h(z) = -3*z**3 - 2*z**2 - z - 1. Calculate 10*h(j) + 4*l(j).\nAnswer: -2*j**3 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**1\/d)\/d)\/(d*d\/(d**(-2)*d))*d\/((d**(1\/3)*d)\/d*d)*d*d**(4\/5))\/((d\/(d*d**0\/d)*d)\/d*(d\/d**(-3\/4))\/d*d)**(-28\/5) assuming d is positive.\nAnswer: d**(193\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (14 + 3\/1 + 2068495\/(-121605))*(3 + 0)\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -356*i + 179*i - 1 + 178*i.\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 882 a factor of 2063927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 2*u - 56, 3*y = -2*u - 0*y + 53. Solve 2*w - 26 - 5 = 5*b, w = -5*b - u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.89 + -2?\nAnswer: -12.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 - 6*o + 4. Let k be v(-8). Let a be 10\/6 + (-4)\/k. Suppose a*n - 138 = -4*m, -n - 2*m = -5*m - 64. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**2 - 2*l**2 + l**2 + (-l + l + l)*(2*l + 2*l - 2*l) + 0*l**2 + 4*l**2 - l**2 + (0*l + 2*l - 3*l)*(5*l + 5 - 5).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 406032586.\nAnswer: 2, 203016293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 1 + 3 + (2 - 1 + 2)*(4 - 2 + 3) - 5 + 3 + 3 - 7 - 2 + 1 - 65 - 61 + 140 - 1 + 4 - 1)*(1 + 2 - 2)*(z + z + 0*z) to the form v*z + q and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17.2 + 17. Let u = 26 - 133\/5. Let l be 1\/2 - 1\/2. Which is the nearest to l?  (a) 3\/7  (b) u  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-23)\/(-17 + -98))\/(3\/((-15)\/(-7))).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 - 3*q**2 - q - 5. Let z be t(-3). What is the closest to z in -1\/7, -1\/8, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -894.28 - -15.28. Let x = -878.9999992086 - c. What is x rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 25, 65 in decreasing order.\nAnswer: 65, 25, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - c - 20, 5*m + 4*c - 28 = 6*c. Find the second derivative of 2*k**3 + m*k**3 + 13*k - 6*k - 3*k**3 wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 - 139) + (-3 - -8).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 13354*n - 6695*n + 13 = 6662*n, -14*k = -4*n + 74 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2. Let w(f) = -34*f - f**3 + 19*f - f**2 + 26 + 16*f. Let n(y) = 3*a(y) - w(y). Calculate n(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of q**6\/24 - 13*q**5\/12 - 5*q**4\/24 + 65*q**3\/6 + 7*q**2 - 17*q. Solve w(b) = 0.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**3 + 280 - 92 - 95 - 93.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 8, l: 10, c: 1}. Give prob of sequence cl.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3342 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 + 12*l**2 - 18*l - 2. Suppose -4*a - d + 87 = 0, 4*a = d + 26 + 55. Suppose a*n = 20*n + 10. What is the units digit of k(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1502*t - 1438*t - 473 = 167 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((0 + 0 + sqrt(153) - sqrt(153))**2 + (sqrt(153)*-2*-5)**2 + 1) - ((1 + sqrt(153) + 0)**2 + sqrt(153) + sqrt(153) + 2 + sqrt(153) + 3 + 4).\nAnswer: -30765 - 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 48692 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 8563086 divided by -1\nAnswer: -8563086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -6*z + 18. Let w be x(3). Suppose -2*m = -w*m + 5*p - 5, -5*m - 2*p = 19. Sort 5, m, 1, 0.\nAnswer: m, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 259115438 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2015000, 2014998, 2014996, 2014994, 2014992, 2014990?\n\"Answer: -2*k + 2015002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 7:38 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13644 - 13495. What is the remainder when 8788 is divided by w?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 577, 578, 579, 580, 581?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2661\/2 + 7817\/6. Let i = s - -28. Let n = -2473 + 2472.9. Which is the closest to n?  (a) 2  (b) i  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-2))\/((5\/(-10))\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence quvr when four letters picked without replacement from {u: 11, r: 1, q: 2, a: 1, f: 2, v: 1}.\nAnswer: 11\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 90*z**2 + 4438*z + 5672. What is i(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*n + 36 = -42. Which is the nearest to 1.6?  (a) 1  (b) n  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1\/94, 0.3, -0.202, -8.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 22, -5, -72, -197, -398, -693?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*g + 1820 = 661 - 529 - 978 for g.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**5 - 2*x**5 + 3*x**5)*(-1 + 1 - 1) + (-2*x**2 + 2*x**2 + 3*x**2)*(7*x - x**3 - 7*x).\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 118.6 - 105. Let j = g + -13.8. Let c = 0.05 - -3.95. Put c, 0.02, j in descending order.\nAnswer: c, 0.02, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (153\/(-120))\/((-4)\/(-10)) and -44\/3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.9 + -0.5. Let v = 3 + -1. Which is the biggest value?  (a) u  (b) v  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 8, 0, 3, 91, 162, 4 in ascending order.\nAnswer: -2, 0, 3, 4, 8, 91, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.65771 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 5*x - 30 = 0. Find the third derivative of 4*j**6 - j**2 - 2*j**x - 3*j**2 + 2*j**6 wrt j.\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 515*c**2 - 213*c**2 - 3 - 124*c**2 + 3 - 95*c**2 - 117*c**2.\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 23 = -4*n, -n - 12*l - 2 = 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 21 + 23. Let i(j) = -5*j - 5. Let z be i(-5). Suppose -3*v = 5*o - z - 28, 70 = 5*v + 5*o. Calculate the highest common divisor of b and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 e, 1 d, and 1 n when four letters picked without replacement from {e: 3, j: 3, n: 1, s: 5, d: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-80)\/(-15))\/((-10)\/(-15)). Suppose -y*l - 2 + 26 = 0. What is the smallest common multiple of 123 and l?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 9\/509?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*q*v + 206140*q + 495430*v wrt v.\nAnswer: 2*q + 495430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -456*o - 55. Is d(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hheffe. What is prob of picking 2 e and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*((c*c\/(c\/(c\/(c\/(((c*c\/(c\/(((c**(9\/5)*c*c*c)\/c)\/c)))\/c)\/c))*c)))\/c)\/c)*c)\/c**2*c**(6\/17)\/(c\/(c**(3\/8)\/c)))**36 assuming c is positive.\nAnswer: c**(-24921\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 - 15. Suppose -p = -3*w - 111, -5*w + 0*w - h*p = 168. Let j = -255\/7 - w. Sort -0.3, -10, j in decreasing order.\nAnswer: -0.3, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + v = -7, 63*f = 60*f + v + 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -286724451, -573448896, -860173343, -1146897792, -1433622243, -1720346696, -2007071151?\n\"Answer: -w**2 - 286724442*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -8\/7, 2\/13, 0.09, 4176?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, d: 4, x: 3, w: 4, j: 1, l: 6}. What is prob of picking 2 l, 1 w, and 1 d?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -18*s + 1370. Is 8 a factor of i(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 2 = 2*s, 3 + 2 = 3*s - n. Solve 0 = -4*j - 4*u + 8, s*u = 7*j - 5*j + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 10*t + 2. Let f(c) = -2*c. Let b(a) = -4*f(a) - l(a). Let q be 3*-1*-1*1. Let r(o) = -o. What is q*r(x) - b(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 7*n + 30. Is 2 a factor of f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 2*m**3 + 8*m**2 - m - 3. Let w be n(-4). Solve 0 = -2*b + w - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -220 - -111. Let s = 108.9931 + b. Round s to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 1, -7, -1 in increasing order.\nAnswer: -7, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2. Let p(w) = 112736062*w. Determine p(b(u)).\nAnswer: 112736062*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 6. Let k = 1165.14 - 1122.14. Which is the second biggest value?  (a) -0.1  (b) v  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 264\/(-396)*-6*(-79)\/(-2). Let p = i - -82. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/3 - 1\/7. Let m(j) = -j**3 + 37*j**2 - 71*j + 33. Let r be m(35). What is the nearest to -0.2 in r, -5\/4, y?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*y + 4*a = -9*y - 2*y - 26, -y = -61*a - 2*a + 435 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -4. Suppose 15 = 4*j + c*o, -2*j = -o + 3*o - 8. Suppose 0 = -2*r - 4*y + 34, -j*y = -3 - 9. Calculate the remainder when 33 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-16006)\/1057)\/(9\/63)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) -5  (b) -0.2  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 252571624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -84*l + 2376. Let c be q(28). Solve -565*p + 562*p = c for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**4 - 1 + 1 + s**3 + 25*s**2 - 23*s**2 - 28*s in the form n*s**4 + j*s**3 + a*s + f*s**2 + q and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 + -33 + 50 - (10 - (3 - 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 711*z + 81089 - 17810 for z.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -238*y = -243*y + 9*l - 28, 0 = 2*y + 3*l - 2. Suppose -2*k - 3*k = -5. Put y, k, 12, -2\/3 in ascending order.\nAnswer: y, -2\/3, k, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*j + 3*j + 546. Let r = -55 + j. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 - 11986?\nAnswer: -11980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 5*a + 4 - 14 = 0, -5*a = z. Let w(o) = -6*o - 21. Let b(m) = 3*m + 10. Let s(n) = -7*b(n) - 3*w(n). Give s(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 165 divide 28380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 3*w + 1695, 7*t = 3*t - 4*w + 1688. What are the prime factors of t?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of 87*m**6\/20 - m**5\/60 - 389*m**4\/8 - m**2 - 14. Find the second derivative of c(i) wrt i.\nAnswer: 3132*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 6, a: 12}. What is prob of picking 1 i and 1 a?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -2*j**3\/9 + 2*j**2\/9 + 170*j\/9 + 550\/9 = 0.\nAnswer: -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1\/6716 - -61285\/10074. Find the common denominator of d and -1\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/9 - 75\/(-27). Suppose -u - x = -2*n, 6*u - 1 = 3*u - 4*n. What is the units digit of (-1 - -14)*(2 + u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.308 in 1\/627, 2, 2\/15, -2, 3?\nAnswer: 1\/627","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121*v + 66*v + 59*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -122 (base 12) in base 13?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000361861983 to 5 decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 4*n**2 + 4*n**3 - n + 16*n**2 + 5 as y + b*n**2 + v*n + u*n**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 AM and 5:50 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l + 4 - l - 3)*(-103545*l + 3 + 103639*l + 8).\nAnswer: 188*l**2 + 116*l + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 6. Let m = -2.5 - -3. Which is the closest to -1?  (a) m  (b) -4  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 + -13. Let a be (87\/(-3))\/(y - 1). What is a rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 48335?\nAnswer: -48335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*v**3\/3 - 35720*v**2\/3 - 71422*v - 107124 = 0. What is v?\nAnswer: -17854, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28082861 to the nearest integer?\nAnswer: 5299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33783 = 457*b + 15428 + 6543 for b.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -234*s - 366 = 3378 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/493 and -83\/116?\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4\/(-5))\/((-6)\/1589). Let y = x + -212. Let o = 84226 - 84221. Which is the fourth biggest value?  (a) 1  (b) o  (c) y  (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13.21 + 0.61. Let l = -12.7 - o. What is the closest to l in 1\/2, 5, -2.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3*5\/(-15)*-1. Solve 0 = k + i + y, 2*i = -3*k + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 4, -23 in decreasing order.\nAnswer: 11, 4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13453165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 2*c - 32. Suppose 79 - 15 = c*m. Suppose -v - 112 = -m*v. Calculate the least common multiple of 18 and v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, q: 1, l: 2}. What is prob of sequence el?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-2)*126\/(-7)*10\/(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*r - 442*r - 1260 + 11182 = -17326 for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 7*w**2 - 2*w. Let z(t) = -3*t**2 + t. Let v(m) = 2*l(m) + 5*z(m). Let d = -20 - -20. Calculate v(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = 3*t - 5, -t - 13*m + 12*m - 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = p - 10. Let j = -6289 + 6292. Solve j + 2 = p*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 0.1  (c) -37  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 less than 338023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -15\/2, -12, 5, 2\/17 in decreasing order.\nAnswer: 5, 2\/17, -15\/2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0556 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/15072 and 47\/2448?\nAnswer: 768672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 + 1. Let f(j) = 3*j**3 - 2*j**2 + j - 2. Let y(u) = -6*b(u) - 3*f(u). What is the second derivative of y(s) wrt s?\nAnswer: -54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 less than -2.73979?\nAnswer: -2.13979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 1018*s - 19. Let z be g(2). Let x be 2\/(-9 + 6 - z\/(-667)). Let f = -83 + x. Which is the nearest to 2\/3?  (a) -0.05  (b) 2\/19  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + (-119)\/(-51))*(0 - 6\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/6 and -39\/250600.\nAnswer: 751800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -40.28 less than 1.88?\nAnswer: 42.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 19942123 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 3*w + 4. Suppose 2*g - 5*y - 1 = 0, 4*g + 6*y - y - 17 = 0. Let n = w - g. Are n and 2\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 11) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that i**2 - 23*i - 24 = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 742997 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.04 + -0.1. Let c = 0.26 + w. What is the third smallest value in 3, -5, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15851.1 - -15851. Which is the third biggest value?  (a) 5  (b) 11  (c) -2  (d) 2  (e) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 89 - (44 - (36 - 39)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 + 6*m - 1. Let j(q) = -q**2 + 8*q - 1. Let t be j(7). Let z be u(t). Let n(k) = -7*k - 54. Let y be n(-7). Sort 0, z, y in decreasing order.\nAnswer: 0, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -128659656*b**5 - 2*b**3 - b**2 - 3650345 wrt b?\nAnswer: -7719579360*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -198 + 3\/4*c**2 + 195\/2*c = 0. Calculate c.\nAnswer: -132, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/1554 and 101\/672.\nAnswer: 24864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 31*c - 33*c + 16, 0 = -4*c - 4. Suppose 20*u - f*u = 84. Solve -u*m = 4 + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of 0*r + 0*r**4 + 0*r**2 + 0*r**5 - 25 - 2*r**3 + 1\/6*r**6. Find the third derivative of z(c) wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50 and 6070.\nAnswer: 30350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 7)*(2*d - 6*d + 3*d) + (4 - 5 - 3)*(18 + 13*d - 18).\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**0*d)\/d)\/d*d)**(-1\/11)\/(d**(-2\/7)*d*d**6) assuming d is positive.\nAnswer: d**(-524\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 18*n - 1154. Calculate c(65).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -926046790*a**2 + 811481*a + 103?\nAnswer: -1852093580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 913 - 892. Calculate the remainder when 88 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -1. Let s(i) = 106*i**2 - 34*i + 12. Let d(k) = 12*o(k) + s(k). Find the second derivative of d(z) wrt z.\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 3*o**2 + 4*o + 2. Let f be w(-4). Suppose -4*d = -5*c - f - 38, 8 = 2*c. What is the remainder when 67 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w - 3. Let i be z(9). Suppose 0*g - i = -2*g. Solve -g*d = 3*y + 9, 3*y = 3*d - 0*y - 21 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 - 4*r - 14. Let a = -16 - -13. Let q = 13 + a. Is 23 a factor of f(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 56*w + 2. Let z(c) = c - 56. Let j(u) = 36*u + 168. Let o(l) = j(l) + 3*z(l). Give t(o(i)).\nAnswer: 2184*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-108))\/((-16)\/24)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 207583026 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 878  (b) 0.3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from plqqoqqqqqoqpqqqroqq. Give prob of picking 1 p, 1 q, and 1 r.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/(-3))\/((-2)\/3). Let g be 6\/15 - (-8)\/30. Which is the smallest value?  (a) 2  (b) g  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 5*n = 4*n - 96, -5*n = 0. Let f = 11 - h. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, 8 in decreasing order.\nAnswer: 8, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*l**5 - 15763*l**4 + 505090*l**3 + 7536308*l**2 + 22247304*l - 8271648 = 0. Calculate l.\nAnswer: -6, 1\/3, 44, 5222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 1:42 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + 26442\/(-338) + (-12)\/(-52).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 4*q + 13, 0*v - 1 = -2*q + v. Let c(m) = -2*m**2 + m + 4. Let s be c(q). What is the units digit of 1\/(-2) + s\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -7, 192, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 16177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1542410594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -47  (b) -0.1  (c) 1\/424\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -353 - -353. Let v(k) be the second derivative of 5\/6*k**3 + 1\/3*k**4 - 2*k + r + 0*k**2. Find the second derivative of v(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.973 - -0.027. Suppose -22*o + 16*o = 12. Which is the closest to 1\/3?  (a) 9\/8  (b) x  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 103 and 16171?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18004269581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4747196 is divided by 800.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 51 + 531?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 1001220?\nAnswer: 1001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1 + ((sqrt(847) - ((sqrt(847) + 0 - sqrt(847))*-2 - sqrt(847))) + sqrt(847) - (sqrt(847) + 2)*6))**2*3 + -1.\nAnswer: 13068*sqrt(7) + 139391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n**2 + 5*n - 58. Is r(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 times -23.47267\nAnswer: -281.67204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 13 - 7. Let w be (1 - -2) + (-1 - -5). Find the third derivative of w*t**6 - 2*t**2 - t**2 - p*t**6 wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/45)\/(10\/66765). Let d = a + 588. Calculate the common denominator of 23\/30 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-7)*((q*q**(-6\/11))\/q)\/q)**(2\/5))**(-21\/2) assuming q is positive.\nAnswer: q**(1974\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of 1\/50*k**5 + 0 + 0*k**3 + 0*k**2 + 1\/30*k**4 - k. Factor a(v).\nAnswer: 2*v**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, g: 2, j: 2}. What is prob of sequence eej?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-1\/3)\/o)\/o)**(-1\/3)*o\/(o**7*o)*o**(-1\/3)*o)**(-34) assuming o is positive.\nAnswer: o**(1700\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (7 - 9)\/(14\/(-31)). Does u = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**5 + 116223*n**4.\nAnswer: -3*n**4*(n - 38741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29\/15 - 13\/5. Let x(k) = k**2 - 5*k - 7. Let j be x(6). What is the nearest to -0.1 in j, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-30*r**2 - 15*r**2 + 11*r**2)*(2*r - 5 + 1 - 4) as q*r**3 + v*r**2 + w*r + y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/2 and 101\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3 - 596*b**2 - 1189*b - 594.\nAnswer: -(b + 1)**2*(b + 594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 1\/177464241 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 2. Let n = 2 + j. What is the lowest common multiple of 6 and (-2 - -9)\/(2\/n)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 8192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-74*k - 130*k + 91*k)*(7*k - 4 + 4).\nAnswer: -791*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, -48, -3 in descending order.\nAnswer: -2, -3, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 30, 22, 0, -42, -110?\n\"Answer: -f**3 - f**2 + 2*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30679590.\nAnswer: 2, 3, 5, 1022653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.1 + 3. Let z = r + 0.2. Let y = -2877 + 2872. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -540913, -4, -19, -3 in decreasing order.\nAnswer: -3, -4, -19, -540913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 490 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-66)\/72)\/((-140)\/(-7) - (-77)\/(-4))?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) 1\/2  (c) 1  (d) 2\/15  (e) -17\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14129668, 14129662, 14129656, 14129650, 14129644, 14129638?\nAnswer: 14129632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**3\/4 + r**2\/4 - 6*r + 9 = 0. What is r?\nAnswer: -6, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5971679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -327933, -655861, -983787, -1311711?\nAnswer: -1639633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*c - 22*c + 130*c**2 + 42*c as y + p*c**2 + l*c and give p.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2*(314\/4 + 4). Let c = 461 - b. Suppose 5*x = -5*d + 3*x + c, 306 = 5*d - 3*x. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -1\/6, -103530, 6, 4 in decreasing order.\nAnswer: 6, 4, 0.3, -1\/6, -103530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**17\/i*i*i\/(i\/(i**(-2\/7)\/i)))**(-14\/9) assuming i is positive.\nAnswer: i**(-220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12872506, 25745015, 38617524?\nAnswer: 51490033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(784\/(-72))*9\/(162\/(-12)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 113726400 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 506 - 506. Which is smaller: 4\/1235 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -i + i + i + (3 - 2 - 3)*(1 - 1 + 2*i) + 5*i - 4*i - 2*i + 3*i - 3*i - i + 2*i - 3*i - 4*i as p*i + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + -13aa131?\nAnswer: -13aa131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*b - 455 = 9 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2698345 centuries to millennia.\nAnswer: 0.02698345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 1:48 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.12 - -3.62. Suppose 0 = -11*c - 396 - 253. What is the biggest value in c, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 391 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2896 - 12546. Round o to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 11\/((-22)\/8) - (-8130)\/5. Suppose o - 1024 = -4*k, 2*k + 6786 - d = 5*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-72 - 34 - 33 + (-2 - 2 + 3)*(0 + 3 - 5))*(-p + p + 2*p).\nAnswer: -274*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 10\/3 = 414.541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 + 74855*u**2 + 6144753*u + 6069897.\nAnswer: -(u - 74937)*(u + 1)*(u + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-4\/5)\/w)\/(w*w\/w**(-2\/5)*w))**32\/((w**7*w**0)\/(w**(-8)*w**3\/w)) assuming w is positive.\nAnswer: w**(-737\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62035.\nAnswer: 5, 19, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/2622 and -103\/86.\nAnswer: 112746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/3)\/((-2)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 + 0 + (18 - -2). Suppose -3*u = -53 - 4. Suppose -f*a - 39 = -u*a. Calculate the remainder when 50 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*u - 82*u + 226 = -22*u. Let s(b) = b**3 - 4*b**2 - 5*b + 2. Let y be s(5). Let a be y*(-1)\/(-2) + 2. Solve -a*j + 16 = -2*r, -5*j + 0*r = u*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o - 2. Let v be j(-2). Let w be (-1)\/v + 3\/4. Let l = -5 + 9. Sort w, l, -2.\nAnswer: -2, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -19, 28, 2\/3, -1, 1\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14095303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16333 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 119, 113, 97, 65, 11?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 2. Let a(m) = -3*m**3 - 10*m**2 + 5. Let z be a(-4). Suppose -4*h = -5*y + z, -7*y + f*y + h = -28. Solve 2*j - j - y = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7030 - 7031. Sort -5, m, -487.\nAnswer: -487, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 4*i**2 - 6. Let r(w) = -3*w**2 + 5. Let c(h) = 5*d(h) + 6*r(h). Let k(q) = -4*q. Determine c(k(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2625725 is divided by 1219.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1643*x + 744*x - 142621 = -1027*x + 318269 for x.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x**4\/2 - 6085*x**3 + 12211*x**2\/2 + 243364*x - 681576 = 0.\nAnswer: -12171, -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 225*t**2 + 3358 - 3358 in the form q*t + u*t**2 + x and give u.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4868117 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 + 1. Suppose 6 - 1 = -5*t. Let b be w(t). Solve -b*i = -2*y + 4, 3*i + i + 2*y = 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + 19a544?\nAnswer: 19a548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1158536905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 661 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from {i: 3, s: 1, g: 1, b: 1, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3410 + 3425. Calculate the highest common factor of 160 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/q**(-4\/9)*q*q))\/q)\/q*q*q**30*q\/(q**(2\/13)\/q)*q*q\/q**(1\/16) assuming q is positive.\nAnswer: q**(56795\/1872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 291, 8 in descending order.\nAnswer: 291, 8, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 229386?\nAnswer: 2, 3, 38231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003222 rounded to five decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.016671 rounded to 4 decimal places?\nAnswer: -0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 9*x**3 + 85*x**2 + 18*x + 6. Let v(l) = 10*l**3 + 84*l**2 + 21*l + 7. Determine 7*j(y) - 6*v(y).\nAnswer: 3*y**3 + 91*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j**2 - 141936*j - 567680 = 0. What is j?\nAnswer: -35480, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 102 = 3*s - 0*w, -3*w = -3*s + 102. Suppose -s*q = -33*q - 12. Let f = q - -15. Calculate the greatest common factor of 189 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 + 7*g**2 + 2*g - 6. Let i(d) = -9*d**2 + 9*d - 2*d + 8*d**2. Let w be i(6). What is the tens digit of k(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*(-9)\/(-42)*(1512\/(-90))\/14?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -7*g - 9. What is the remainder when o(-14) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1058728488.9999951 + 1058728439. Let j = 54 + -104. Let g = i - j. What is g rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 541564 + 15.0378?\nAnswer: 541579.0378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (43\/(-301))\/((-15)\/525*-205)\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.800006 + 0.8. What is x rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6315 + -3617. Let d = c - -14185. Suppose 3*u + 2*u - d = 4*h, h - 1696 = -2*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -26953 + 26952. Is 1\/6955 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 3*h - 111, 0 = 3*h - 0*h - 9. Let k(w) = w**3 - w**2 - 4*w + 1. Suppose 2*f = 7*f - 10. Let z be k(f). Sort z, j, 3.\nAnswer: j, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25 + -18. Let r(x) = -2*x**2 + x**3 - 3*x**2 + 2*x**2 - 6*x**2. Let v be r(9). Is v smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -185176 = 12*y - 185248 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 12*m + 1. Let r(v) = v**2 - 2*v - 1. Let b be r(-1). List the prime factors of j(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, r: 7}. Give prob of picking 1 n and 1 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -186364 - 140876 = -6491*d - 4417*d for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-16)*66*4458. Let m be (-1)\/(-6) + 4557\/w. Let j = m + -1\/743. Find the common denominator of j and -137\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4534007646*i + 14*i**3 + i**2 - i**2 + 4534007646*i.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16605 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (868\/126 - 7)*(-25)\/(-50)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-seven fifths of a century?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -5*d + 6. Let m(c) = 11*c - 13. Let o = -11 + 11. Suppose o = -a - 12 + 16. Determine a*m(i) + 9*g(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/(-5) - 8*8 - 1. Let z = 68 + w. Let f(d) = d**3 - 2*d**2 - 1. Determine f(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -1. What is the second derivative of 12*w**5 + 3*w + 0*w + t*w - 3*w**5 wrt w?\nAnswer: 180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 3)*(-1 - 2*i + 1).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -32 in 2, -4\/7, 0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -42*q**2 + 70*q**2 - 37*q**2. Let a(m) = m. What is i(a(h))?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.8 + -6. Let w = -0.20000001 - d. What is w rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00022567659 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -138*c + 178. Let l be i(-6). Let y = l - 1001. Solve 2*p - 5*n + 15 = 0, -3*n + 0*n = y*p - 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 + 2*i. Let m(o) = -27*o**3 + 9*o**2 - 6*o - 420. Let c(s) = m(s) + 3*p(s). Differentiate c(j) with respect to j.\nAnswer: -81*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 2*o**2 + 3950*o + 7892 = 0.\nAnswer: -1973, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 43*l - 2. Let p(f) be the third derivative of -5*f**4\/24 + 7*f**2 - 131*f. Determine a(p(v)).\nAnswer: -215*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 47 + -4 + (2 - 6) - (-33 - -20).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30 - 7. Let z = k + -14. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 + -48 + 7 - (21 - -1 - -1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of v**4\/24 + 9*v**2. Let b(n) = 3*n**2. Calculate r(b(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1371 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/45*20\/24\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -2069?\nAnswer: 10345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (a**3 - 2*a + 2*a)*(-3*a + 8*a + 22*a) + (a - 1 + 1)*(3 - a**3 - 3) to the form v*a**2 + j*a**3 + p*a**4 + t + z*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/9 - 404*m\/3 - 1214\/9.\nAnswer: 2*(m - 607)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, -12, -36, -74, -132, -216?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25399963\/90132 - 72795\/259. Let p = g + 2\/609. What is the biggest value in 7, -5, p?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -11*m - 6. Let f(u) = 5*u + 3. Let x(n) = -13*f(n) - 6*v(n). What is the smallest common multiple of 22 and x(9)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w - 54 = 7*w. Solve -z = 2*f + f + 17, -3*f = 3*z + w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 5:23 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 544*g + 1. Let d(j) = 255*j**2 + 3*j. Give d(t(c)).\nAnswer: 75463680*c**2 + 279072*c + 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1264053 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 791*s**2 + 794*s**2 + 5*s + 3*s - 2376*s**2 + 792*s**2 to the form h*s**2 + a + r*s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 - (-18 + 54)) + 25 - -122.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 105770160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 14588026 to the power of 1\/2, to the nearest integer?\nAnswer: 3819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46978 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -17*v + 29. Let t be n(-3). Let h be (2\/4)\/(2\/(-16)). Let c be (1 - h)*(3 - -1). What is the highest common divisor of c and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.175*4.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 53071832 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36921, 36922, 36923?\nAnswer: 36924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 117\/230 and (-23934)\/4140 + 10 + -4 + 0?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 70694, 283800, 638974, 1136216?\n\"Answer: 71034*h**2 + 4*h - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(243) - sqrt(243)*-1)*-4)\/((-2*sqrt(900) - sqrt(900)) + sqrt(900) - sqrt(900)))\/(sqrt(81) + -2*sqrt(81)*-2 + 6*(sqrt(81) - sqrt(81)*-1)).\nAnswer: 4*sqrt(3)\/765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2779*j - 6. Let z(n) = -5570*n + 11. Determine -11*q(a) - 6*z(a).\nAnswer: 2851*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1\/6 + 1\/30. Let f(j) = 4*j**2 - 2. Let o be f(-3). Let r be (-4)\/18 + o\/72. Which is the closest to 1\/4?  (a) r  (b) 1\/2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47, 4309, -109, -2 in descending order.\nAnswer: 4309, -2, -47, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 18*u**2 + 3*u - 32. What are the prime factors of v(3)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 3*x = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add 121695376146 and -5.\nAnswer: 121695376141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 243 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*n - 3*n - 2*n + (-1335 + 1335 - 75*n)*(4 - 2 + 0) to v*n + a and give v.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6992.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wbwrsyyir. Give prob of sequence rybw.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*p + 53*p - 371 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -69705370 divided by -14?\nAnswer: 4978955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wywrp. Give prob of sequence wypp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15*i**4 - 64*i**4 + 19*i**4 + (-2*i**2 + 3*i**2 - i + 0*i)*(-5*i - i**2 + 5*i).\nAnswer: -61*i**4 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -4*p - 6. Let l be v(-4). Let f be l\/6 - (-3)\/9. Differentiate -2*g**2 - 5 - 6*g**2 + f*g**2 wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-113*o + 119*o - 357*o + 3)*(0*o - 6*o + 5*o)*(-o + 5*o - o) - o**3 + 2*o**3 + 0*o**3 as r*o**3 + c*o + m + z*o**2 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n + 8. What is the units digit of v(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2 + 67596*a - 44895585.\nAnswer: -3*(a - 21847)*(a - 685)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -54.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 PM and 10:11 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 (base 6) in base 12?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-30)\/(-2) - 4\/2. Suppose -3*n = -4*w + 8, -5*w - k = -0*n + 2*n. Let z = 2 + w. Put z, 5, -2 in descending order.\nAnswer: 5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkka when four letters picked without replacement from kmakakaakkmakaa?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 10*x**3 - 4*x + 4. Let b be j(1). Suppose -w + i = -43, -2*i + b - 184 = -4*w. What is the least common multiple of 22 and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 130663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2065323 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 536689 to the power of 1\/2, to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, -215, -734, -1735, -3374, -5807?\nAnswer: -9190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 177507 divided by -33?\nAnswer: -5379","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1711 + 1727 - k - 3413 - 165*k**2.\nAnswer: -165*k**2 - k + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 3*p + 1. Let d be c(7). Let y = d + 4. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 119537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 5*p + 2, 5*p + 57 = -4*c. What is the smallest common multiple of (c\/(-4))\/(9\/12) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 PM and 4:31 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of -i**5\/40 + 158*i**3\/3 + 149. Let b(l) be the third derivative of k(l). Let r(y) = -20*y**2. Calculate b(r(n)).\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of 0*y**2 + 0 - y + 1\/12*y**4 + 0*y**3. Let q(v) be the third derivative of v**5\/60 + 3*v**2. Calculate b(q(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 683 (base 9) in base 7?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2719 + (5 - 5\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -4 - 9 + b**2 - 205*b + 199*b + 19 - 2*b**2. Let s(i) = i**2 + 7*i - 7. Suppose -3*l + l = -10. Calculate l*q(v) + 4*s(v).\nAnswer: -v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 4:04 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*m + 816 = 11*m. Let i(x) = 2*x**2 - 34*x + 36. Calculate i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, d: 4, s: 3}. What is prob of picking 1 s and 1 d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -12 + 7*s + s**2 - 753*s**3 - 2*s**2 + 754*s**3. Let c be k(2). Solve -x - c = -4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65553082871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 196219 is divided by 1962.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25315, -25284, -25253, -25222?\nAnswer: -25191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 60*k**2. Let h(p) be the first derivative of 2*p**3\/3 + 3281. Determine h(w(x)).\nAnswer: 7200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25 + 18. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1097, 1104, 1111, 1118, 1125?\nAnswer: 1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k + k - 6*k - 3)*(-5*k - 6*k - 5*k)*(-3 - 1 + 2*k + 7).\nAnswer: 64*k**3 + 192*k**2 + 144*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the first derivative of 5*b**3\/3 - 4*b**2 - 2*b + 2. Suppose 2*a - 120 = -2*a. Suppose 6*w = w + a. Let p(r) = r**2 - r. Calculate w*p(l) - u(l).\nAnswer: l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -587*w - 253581. What is i(-432)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 526 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of 1\/36*i**4 - 1\/90*i**5 + 0*i - 3 + 0*i**3 - i**2. Let k(t) be the second derivative of d(t). What is o in k(o) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5529130 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 36248342 or 36248349?\nAnswer: 36248342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 13 + -34?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/13, -0.1, -1109?\nAnswer: -1109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*k - 11. Suppose -k*w + 3*w = -69. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-3)\/(-2))\/(12\/(-32)). Let m(w) = -2*w**2 - 6*w - 2. Let p(l) = -13*l + 1 - 6*l + l**2 - 8*l + 30*l. Calculate b*m(q) - 7*p(q).\nAnswer: q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -264*w = -3296 + 2240 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 - 15. Let f be v\/(0 - (-4)\/(-28)). Suppose -4*g = u - 61, -4*g - u + f = -5*u. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -460*h + 272*h + 230*h = -126 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*h**2 + 6*h**2 - h**2 - 2*h**2 - 6*h**2 - 6*h.\nAnswer: -7*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18 - -6)\/(-13 - (-56)\/4 - 14).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/((11\/24376)\/((-4)\/(-8)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -8333?\nAnswer: 8338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -5*g + 17. Let h be s(2). Let q(z) = 7*z - 1. Let r be 3\/(-6)*3*-4. Let m(n) = 4*n - 1 + r*n + 0. Determine h*q(i) - 5*m(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 340591 is divided by 16214.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 394169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, e: 1, a: 5, h: 5, k: 1, p: 2}. Give prob of sequence hke.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r + 3 - 3)*(r + r + 0*r) + 1 - r**2 - 1 + 0*r + 0*r + 3*r**2 + (-7 + 1 + 0)*(-4*r**2 - 4*r**2 + 0*r**2).\nAnswer: 52*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uhu when three letters picked without replacement from {h: 10, n: 2, u: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 51, 3 in decreasing order.\nAnswer: 51, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 244, 491, 738?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * -405.2353\nAnswer: -202.61765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1152\/(-192)*(-22)\/60.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 330623 (base 7) in base 15?\nAnswer: 12275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 15983.04473 to the nearest integer.\nAnswer: 15983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 856, 1335, 2158, 3337, 4884, 6811, 9130, 11853?\nAnswer: 14992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 923532 is divided by 281?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1884, -1006, -142, 702, 1520, 2306?\nAnswer: 3054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 149364*q - 149417*q - 1749 = 0 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(7\/2)\/i**5)\/(i*i**(1\/2)\/i)**(1\/45)*(i**(4\/7)\/i**(-3))\/((((i\/(i*i*i*((i*i*i**(1\/5))\/i)\/i*i))\/i)\/i)\/(((i**8\/i*i)\/i)\/i)) assuming i is positive.\nAnswer: i**(4177\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 276*y - 7*y**2 - 276*y.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 237, 470, 705, 942, 1181, 1422?\n\"Answer: n**2 + 230*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 382358060?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6.9372 - -0.0022. Let s = 8.6 - 1.6. Let f = z + s. What is f rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1637 + 49*g**2 + 1675 - 3312.\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -47860 divided by 2.\nAnswer: -23930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 6*h**2 + h**3 - 12 + 4*h - 16*h + 0*h + 0*h**3. Let t be j(-8). Let r be (-3)\/(-4) + 77\/t. Which is the third biggest value?  (a) -4  (b) -5  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 + 6*k**2 - 6*k + 9. Let d be q(-7). Suppose -31 = 2*v + 59. Put v, 3, d in decreasing order.\nAnswer: 3, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2268*w**3 - 2*w**2 - 6*w - 4. Let m be t(6). What is m rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*x**5 + x - 4*x**5 - 2*x**5 + 2*x wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 270 = -13*y. What is the least common multiple of 3315 and y?\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 122, 256, 390?\n\"Answer: 134*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + -4 + -9 - -38?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*(-22 + (0 - 7)). Let y be (0 + 0)\/(-26 - j). Let q = 4 + -8. Put q, 2, y, 4 in descending order.\nAnswer: 4, 2, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and 465?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -15, 19, 6 in descending order.\nAnswer: 19, 10, 6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3b - 6c?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 2*p - 15 = 5*l, 0 + 12 = 124*l - 128*l + p - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 586 is divided by 125.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5059 * -0.1.\nAnswer: 505.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2980665*j**3 - 2*j**2 + 24*j + 15950 wrt j?\nAnswer: 17883990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36 - -63. Let t = z + -28. Let h(w) = 39*w**2 - 2*w - 1. What is the units digit of h(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*b**2 + 0*b**2 + b**2 - 1624398222 + 2*b**2 + 1624398222 + 0*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 8022067601 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 320412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 5*l + 2. Let d(b) = 6*b + 3. Determine -6*d(x) + 7*v(x).\nAnswer: -x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 27880 by -697.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2640 a factor of 446174434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*l = -18*l. Solve 5*m - 5 - 15 = l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1274*f + 4145*f + 3413*f - 605*f + 3864*f as t + n*f and give n.\nAnswer: 9543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k - 13 + 15 - 3 + 16. What is d(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 0 = -5. Let s(f) = -f + 1. Let a be s(p). Suppose 4 = 12*h - 10*h. Are h and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z**2 + 85*z - 6. Let v(x) = 4*x**2 - 171*x + 13. Give -13*i(r) - 6*v(r).\nAnswer: 2*r**2 - 79*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/4 or -478131562?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - -3. Solve -7*x - 9 = 4*w - 2*x, w = -b*x - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 217*s - 1064. Give v(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 327628\/204755 + -4\/40951. Determine n so that 8\/5*n + 0 - 8\/5*n**4 - 6\/5*n**3 + g*n**2 - 2\/5*n**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 + 73 = 12*o. Suppose k = 2*t + 3*k + 10, -o*k + 4 = -4*t. Put 17, t, 5 in ascending order.\nAnswer: t, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.5944 and -11.7.\nAnswer: 42.05448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**5 + 2*t**4 + 2*t**3 - 4*t**2 - t + 2. Let k(o) = 2*o**3 - 4*o**2 + 3*o**4 - 673*o + 671*o + 1 + 0*o**2. Let y(v) = 3*k(v) - 2*r(v). Factor y(i).\nAnswer: (i - 1)*(i + 1)**3*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 42 = -3*q + 29, 4*x - 3*q - 7 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 626 = 3*i + 1925. Let f = -259 - i. Suppose 0*g - 3*y + f = 3*g, -5*g + 304 = -2*y. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 387 and 105.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 329 a factor of 1687770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 316*m**2 + 2*m. Suppose 10*u + 6 = 16. What is the tens digit of n(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -360 + 5575. Let g = -57325\/11 + b. Find the common denominator of g and -41\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 14069*p - 56276. What is r(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -217*d**2 + 61*d**2 + 8 - 94*d**2 - 81*d**2 - 50*d**2 + 2*d to the form i*d**2 + p*d + a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -558, -543, -522, -495, -462, -423, -378?\n\"Answer: 3*m**2 + 6*m - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -719 - 2*r**2 + 719. Let t(x) = 23 + 33*x - 23. What is u(t(w))?\nAnswer: -2178*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + a - 3 + 5)*(-6*a + 3*a - a)*(-14 + 17 + 18) as j*a + n + p*a**2 and give j.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 172178946?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -6*l + 2*l. Let y be l\/((-5)\/(-2) + -2). Suppose -4*d + y = -0*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - 9) + 4 + 7 + -13 - 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8232815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -34 (base 15) to base 10\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -128 (base 16) to base 8\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l**3 - 4*l**2. Suppose -2*y - 3*d + 4 = 0, y = -0*y + 2*d - 12. Let u(n) = -n**3 + n**2. Calculate y*u(r) - o(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4379 - 7061 = -6*v - 5*v. Is 7270\/7 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -51*k**5 + 3*k**5 - 3*k**5 - 2*k**5 + 0*k**5 - 4*k**5 + (4 - 2*k**3 - 4)*(-k**2 - k**2 + 3*k**2) - 2*k**5 + k**3 - k**3.\nAnswer: -61*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3791, -7683, -11583, -15491, -19407, -23331?\nAnswer: -27263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 210417 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-39)\/169*6\/42*7?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, -481 in descending order.\nAnswer: 4, 3, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/348273?  (a) -4  (b) -1\/6  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0173505 >= 58\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 12 = 0, 0*f - f = -5*o + 32. Suppose -y + 2*p - 49 = 0, p - 7 = -3. Let b = f - y. What is the highest common factor of 60 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 452 = 29*d + 46 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -129 - -194. Let a = q + -64.7. Suppose 44 = -5*m + n, -2*m + 4*n = n + 28. What is the second smallest value in -2\/9, m, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + 4 - -3)\/(3\/27)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-40))\/(43\/215).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 + 5. Let m be 3 + g\/((-8)\/(-2)). Differentiate -5*r**2 + 4*r**m - r**2 - 5 - 4*r**2 with respect to r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1038.81kg in grams?\nAnswer: 1038810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p**4 + 577*p**3 - 13500*p**2 + 62852*p + 40432 = 0. Calculate p.\nAnswer: -4\/7, 7, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 423 - 6495*q - 1265 + 422 + 420 in the form a*q + j and give a.\nAnswer: -6495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + d + 13 = 0, -3 - 1 = 4*t + 4*d. Suppose 6*w - 6 = -2*p + t*w, -w - 2 = 2*p. Let z(i) = -6*i - 4. Let j(s) = -5*s - 3. Calculate p*j(u) + 2*z(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -11*r**2 + 98*r + 7. Let s be h(9). Let i be (-5)\/(-21) - 2\/3. Which is the biggest value?  (a) s  (b) i  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of y**5 + 549676*y**4 - 40*y**3 - 45113*y**2 + 657 wrt y?\nAnswer: 60*y**2 + 13192224*y - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2139)\/(-33) + (-6)\/(-33). What is the greatest common divisor of n and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2257528*q**6 - q**3 - 8457950*q**2 wrt q?\nAnswer: -270903360*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 + 54*a + 283. What is z(59)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 4:42 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 246 and 1320.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -373951.4 to the nearest one thousand.\nAnswer: -374000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -54 - 88979713487.\nAnswer: -88979713541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 256406791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.0914, 4, -11, -1.19?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 - 14*d - 27. Suppose 38*h = 39*h + 11. Let n be q(h). Solve -4*r + 10 = 2*u - u, -n = -3*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2181 is divided by 130.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/(-70))\/((-16)\/340*1)*-4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 7:49 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 5. Suppose b = -7*n + 2*n. Suppose 4*i - k + 7 - 43 = n, 0 = 2*i - 4*k - 4. Solve 0*t + 2*t = -i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1483 - -1823. Let v = k + -335. Let g(j) = 4*j**2 - j + 2. Let l(d) = 3*d**2 + 3. Let w(q) = 4*g(q) - 5*l(q). Give w(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120 + 2122?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -38 + 36. Let s(m) = -2*m**2 - 2. Let d(p) = -6*p**2 - 8*p - 9. Let c(g) = 2*g**2 + 3*g + 3. Let z(v) = 8*c(v) + 3*d(v). Calculate t*z(l) + 3*s(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 300900\/90 + (-2)\/(-3). Let w(p) = -p + 11. Let z be w(10). What is the units digit of -1*z + c\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -92 - (-6 + 15) - (43 + (10 - 40))?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b + 18. Suppose 4*x + 240 = -11*x. Let o be a(x). Differentiate 5*f**o - 12 + 13*f**2 - 19 - 15*f**2 wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4b (base 12) to base 8\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 33 = -4*r - 2*p, -3*r - 2*p + 33 = 0. What is the units digit of -1*(-181 + 1 + r\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 4*p**3 - 9*p**2 + 212*p. Let l(z) = -17*z**3 + 41*z**2 - 847*z. Calculate -2*l(i) - 9*s(i).\nAnswer: -2*i**3 - i**2 - 214*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (21\/4)\/(27\/72). Suppose -4*m + 14 - d = 0. Solve m*l = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21421 (base 5) in base 8?\nAnswer: -2716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112220011120102 (base 3) to base 12.\nAnswer: -2798b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*v + 5 = 0. Let r = 1 - v. Suppose -r*a + 6 = -2. Solve -10 = -a*n - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (84*u**3 - 83*u**3 - 145*u**2 - 69*u**2)*(2*u - 3*u - 3*u).\nAnswer: -4*u**4 + 856*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 17 = -2*y, -2 = 3*y + 1. Calculate the remainder when 40\/15 + -4 + 22\/s is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 455 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: Convert 1105 (base 13) to base 8.\nAnswer: 4503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2519 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = 4*b - 17, -30 = 5*z - 8*b + 13*b - 8*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**2 + o**2 - 4*o**2)*(-6 - 9*o**3 + 6) + 589*o - 180*o**5 - 589*o + (-2*o**3 + 0*o**3 + o**3)*(-2*o**2 + 0*o**2 + 3*o**2).\nAnswer: -163*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 191 divided by -42.\nAnswer: -191\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = 2*u + 3, 22*h - 9 = 17*h + 2*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5049 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1005 (base 8) to base 12.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b7 (base 15) in base 8?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 732, 729, 726, 723, 720?\n\"Answer: -3*q + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1148 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -93.929 + 94. Let k = -0.571 + s. Sort 21, k, -3\/5 in increasing order.\nAnswer: -3\/5, k, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 - 4*s**2 + 3*s - 9. Let d be x(4). Suppose d*f = 415 - 7. Suppose -q + 5*q = f. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 + q + 6. Let h be a(0). Suppose 10 = 4*t - h. Find the third derivative of -3*f**2 - 4*f**4 + f**4 + 2*f**t wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -14136, -28278, -42410, -56526, -70620, -84686?\n\"Answer: r**3 - r**2 - 14146*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, w: 2, c: 5, l: 2, v: 1, m: 2}. Give prob of picking 1 v, 1 w, and 1 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kyx when three letters picked without replacement from dddkdydkddzxddypddy?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*j**5 - 47635*j**4 + 113335515*j**3 + 567535295*j**2 + 794873480*j + 340721340 = 0. Calculate j.\nAnswer: -3, -1, 4766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1310 - -1310.5. Which is the nearest to 0?  (a) 0.3  (b) f  (c) -0.04  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4018697 is divided by 8135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -19, -38, -57, -76, -95, -114?\n\"Answer: -19*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 173529461, 173529462, 173529463, 173529464?\nAnswer: 173529465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2112075089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*h - 0. Let o be ((-2)\/h)\/((-5)\/275). Is (-2174)\/o - (-10)\/55 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = 303*h - 852 - 38 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 x when four letters picked without replacement from xxxxxexxeeexxx.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3a91d (base 14) in base 9?\nAnswer: -240162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, -3826, -4 in descending order.\nAnswer: -4, -15, -3826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.05744 - -135853.\nAnswer: 135852.94256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 72.84519cm?\nAnswer: 728451.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 5*i + 10 = 0, -5*i = 5*g - 1 + 11 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 747767 - 747767 - 734*p in the form h + q*p and give q.\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 - 8*m - 1. Suppose 6*a + 37 = 2*a - 5*t, -5*t - 5 = 0. Let o be n(a). Let i be (9\/(-3)*1)\/o. Solve i*u + 4 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, -22, -3\/4 in descending order.\nAnswer: 1, -3\/4, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (450\/125)\/(6\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 11*m**2. Let b(z) = z**3 - 11*z**2 - z. Give -2*b(x) - 3*j(x).\nAnswer: -2*x**3 - 11*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(77)*-4*1*4)\/(sqrt(33)\/(sqrt(18)\/sqrt(6)) - (sqrt(11) - (5*sqrt(11) - sqrt(11)) - sqrt(11))*2).\nAnswer: -32*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1128024 (base 10) to base 16\nAnswer: 113658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -146741 - -286821\/2. Which is smaller: j or -3331?\nAnswer: -3331","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3 = 3. Let q(p) be the third derivative of -1\/420*p**h + 0*p**3 + p**2 + 1\/105*p**5 + 0 + 0*p - 1\/84*p**4. Find x such that q(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1597 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the second derivative of 41*s**3\/6 - 45*s**2\/2 + 22*s. Let l(i) = 82*i - 89. Let c(w) = -5*h(w) + 3*l(w). Differentiate c(z) with respect to z.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from axylxxxxxxxxx. Give prob of sequence xly.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j - 2. Let m = -2 + 4. Suppose -m*t - 16 = 2*p + t, -p + 2 = -t. Let l be q(p). Solve l*y + 3*y = -5*v + 18, -v + 8 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -9  (b) -63  (c) 0.5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 103 + 6\/(-3) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/30 and 47\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (72*k + 35 - 150*k + 74*k)*(0*k**4 + k**4 + k**4).\nAnswer: -8*k**5 + 70*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of i**5\/60 - i**4\/4 + 3*i**3\/2 + 3*i**2. Let o be 32\/6 + 4\/6. List the prime factors of g(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 2.3, -0.5, -2.9772, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -671 divided by -2\nAnswer: 671\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 5\/2, -11801, 4, 13 in increasing order.\nAnswer: -11801, -0.2, 5\/2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 6 = 5*q - 2*m, -3*q + 10 = 4*m. Suppose -5*h = 3*h - 24. Determine i, given that 2*i**2 - 5*i**4 - 9*i**4 + 9*i**h + 5*i**5 - 4*i**q + 2*i**4 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19064870?\nAnswer: 2, 5, 11, 263, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -11103120 divided by 35?\nAnswer: -317232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 257130 + -99130. What is y rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -2*y**2 + 43. Let x(c) = 3*c. Let q(f) be the third derivative of f**4\/12 - 17*f**2. Let b(m) = 4*q(m) - 3*x(m). What is b(a(v))?\nAnswer: 2*v**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -343323 (base 5) to base 12.\nAnswer: -7182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d + 2*d - 2*d + (d - 6*d - 8*d)*(3 - 4 + 33).\nAnswer: -419*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 11009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2474*k**4 + 2*k**3 - 7*k**2 - 3*k - 5107?\nAnswer: -29688*k**2 + 12*k - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1104 and 12535?\nAnswer: 601680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -10 + 8. Let b(d) = s*d**2 + d**2 - 8*d**2. Let t(a) = a. Calculate t(b(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 15*t**2 - 3*t + 146. Let y(s) = 15*s**2 - 2*s + 145. Let o(r) = -4*b(r) + 5*y(r). What is the derivative of o(p) wrt p?\nAnswer: 30*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + -21102010122011?\nAnswer: -21102010122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -33*g**2 - 1 + 5*g - 10*g**3 - 18*g + 33*g**2 - 3*g. Let w(r) = -7*r**3 - 11*r - 1. Calculate 5*f(d) - 7*w(d).\nAnswer: -d**3 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 619050556 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.08 + 0.52. Let q = 0.48 - l. Which is the second biggest value?  (a) -1\/5  (b) q  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2217*h**3 + 5345*h**3 + 568*h**3.\nAnswer: 8130*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*a - 97216 = -48417 - 48435 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/13  (b) 1115  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that w**4 + 407*w**3 + 5955*w**2 + 29525*w + 49000 = 0.\nAnswer: -392, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 81\/128 and -47\/80.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 561 and 714.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2142 (base 12) to base 10.\nAnswer: -3650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 262187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, z: 3, f: 1, d: 2}. Give prob of picking 2 z and 2 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 2*a = -105. Let b be ((-2)\/6 + 1)*a. Suppose 3*q + 4*w = 24, b + 9 = 5*q + w. Solve q - 29 = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*u - 2*n - 650 = -12*u, 0 = -3*u - 5*n - 491. Let y(d) = 17*d**2 + 1. Let m be y(4). Let r = m + u. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-1\/2)\/b)\/(b\/((b**(3\/4)\/b)\/b)*b))**(35\/4))**(-21) assuming b is positive.\nAnswer: b**(13965\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 36714949 to the power of 1\/2, to the nearest integer?\nAnswer: 6059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39 + -13 - 29 - (-2 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -98646195 divided by 75245\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 577\/3 - 193. Which is the biggest value?  (a) 2\/43  (b) w  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 26?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 - 7*p - 4. Let j be h(-5). Let z be ((-4)\/65)\/(j\/15). Which is the third biggest value?  (a) -1  (b) -0.5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7\/((-35)\/(-30)) - (2 + 1). Solve -2*q - l = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 + 4*w + 79. What is h(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -35318*d - 3143300. Calculate r(-89).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 256231879 to the power of 1\/3, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -2*f + 15, -f = -5*l - 2*f + 15. Let z(n) = -8*n - 11*n - n**3 + 17 + l*n - 18*n**2. Let a be z(-17). Solve a*x = x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - (12\/(-3) + 2). Solve q = -2*g - 3, 5*q + x*g - g = -15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -471241  (b) -3\/7  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1419 = 138701*f - 138734*f for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 28*l - 35. Let s(a) = -a + 1. What is d(y) + 35*s(y)?\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 13*f = 32, -4*f = 5*r - 1103 + 877 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -2*n - 0*n. Suppose 2*l + 81*d - 79*d - 10 = 0, -l + 2*d - 4 = n. Solve b = -3*i + 10, 4*b + l*i - 11 = 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64875.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -217, 0, -304, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 9) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -169 - -165. What is the smallest value in -0.6, -5\/2, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13 and 19456970?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/(-6))\/((-2)\/(-24)). Let q be (y\/16 + -1)*-4. Suppose -3*g = -2 - 7. Is q at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven halves of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 36*j**4\/7 + 32*j**3 - 195*j**2\/7 + 9*j\/7 + 2 = 0. Calculate j.\nAnswer: -7, -2\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-10)\/6)\/(286\/(-33)). Let p = i + 1\/130. Let m = 380\/7 - 54. Which is the closest to -1?  (a) p  (b) 3\/5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -5*j**4 + 340*j**3 + 5*j**2 - 340*j = 0.\nAnswer: -1, 0, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-17)\/2)\/(77\/33*(-15)\/(-140))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*p - 19. Let v(d) = d**3 - 8*d**2 + 6*d + 10. Let g be v(p). Solve -6*a = -4*u - g*a + 1, -2*a + 10 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -62781.97.\nAnswer: -125563.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1675695683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*c**5 + 734*c**4 - 15*c**3 + 6*c**2 - 45471*c wrt c.\nAnswer: -480*c**2 + 17616*c - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*p**2 - 118*p**4 + 120*p**4 + 5*p**3 - 3*p**3 as u*p**3 + r*p**4 + a + l*p**2 + j*p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 208 and 6 - ((-195)\/52)\/((-9)\/(-672))?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 41*f - 11*f + 28*f + 86*f + 50*f to w + g*f and give g.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7319977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -36*y - 4*c + 180, -5398*c + 5399*c - 12 = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, 4, -6, -1514 in descending order.\nAnswer: 4, 1, -2, -6, -1514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 354, -1 in decreasing order.\nAnswer: 354, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - ((-14)\/(-77) - (-384)\/66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 10 = 3*x, 0 = -5*i - 4*x - 9 - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 PM and 3:14 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(-1*6\/3). Solve -4*p = 12 - u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 AM and 6:00 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -489, 3 in increasing order.\nAnswer: -489, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19312, 38138, 56486, 74356?\nAnswer: 91748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o + 9*o + 8*o)*(133 + 2 + 34)*(3*o + 3*o - 4*o).\nAnswer: 5746*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 240266 and 252902?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -7*j - 1. Give d(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1156 - -1550. Which is greater: u or 393?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170*d + 63*d - 1475 = -62*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 - 1. Let u(o) = -12*o**2 + 2*o + 3. Give -3*k(g) - u(g).\nAnswer: 9*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together -22720.2 and -1.06.\nAnswer: -22721.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 80 + -82.3. Let j = -2.7 + h. What is the closest to -4\/7 in 0.2, -4, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 75 = 9*u. Suppose 5*l - 2*t - 6 = 0, -3*l - 2*l + 5*t = 0. Suppose 3*r - 40 = -l*g, -3*g - u = r - 8*g. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 divided by -17?\nAnswer: -42\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 196 a factor of 6223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 118 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15603756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.0283093 * -0.007\nAnswer: 0.0001981651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.0734 and 7.\nAnswer: 7.0734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k - 9. Let d be o(-4). Is (783 - -2)*d\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103\/17613*-19 - 2946\/(-27)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + 12. Suppose 3*c + n = -3*n + 151, 4*n + 209 = 5*c. Calculate the remainder when c is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -474658 divided by -672?\nAnswer: 237329\/336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of q**5\/60 + 7*q**4\/24 - q**3\/6 + 2*q**2. Let j be w(-7). Let s be 2\/12*(-63)\/14. Which is bigger: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*l - 12 = 49*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 331, 585, 839, 1093, 1347?\n\"Answer: 254*s + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149*u + u**2 + 270*u + 1093*u + 268*u + 59*u.\nAnswer: u**2 + 1541*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -400657 - -132741. Let n = m - -517916. What is n rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -230 = -25*i + 145 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*b**2*j - 2*b**2 + b*j - 4947*b + 17181*j wrt b?\nAnswer: -4*b*j - 4*b + j - 4947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -2, -18.389?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -73 + 68. Which is the second smallest value?  (a) 2\/9  (b) -0.4  (c) 0.1  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.11 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6584 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(130) + (sqrt(130) + -2*sqrt(130) - sqrt(130)))\/sqrt(10) + sqrt(13) + sqrt(13) + -4)**2.\nAnswer: -8*sqrt(13) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**2\/4 - 17971*i\/4 - 6958852 = 0.\nAnswer: -16259, -1712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, p: 17}. What is prob of sequence up?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2 + b + 7 + 7. Let k be x(-9). Solve c + k = r - 2*r, -1 = 3*c - 2*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to 44\/8059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of -y**5\/60 - 65*y**3\/3 + 33. Let t(h) be the third derivative of j(h). Let p(w) = 4*w - 4. What is t(p(c))?\nAnswer: -8*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/105)\/((-14)\/686)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -4*j + 1. Let m be 0 + 1 + -3 - 2. Is c(m) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -94604, -94588, -94572?\n\"Answer: 16*y - 94620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 139032720 a multiple of 1272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -691180 (base 10) in base 8?\nAnswer: -2505754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4605 is divided by 414.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 111475*i - 111473*i + 26 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 76*p + 1623 = -71*p, 2*i + 4*p + 1082 = 0. Let z = i + 613. Calculate the highest common divisor of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 28620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 2 + (6 + 8 + 3)*(-3 + 2 + 0) + 2 + 1 - 1 + 2 + 0 - 3)*(v + 5 + 1 - 2*v) + 0 + 0 - v.\nAnswer: 14*v - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6920 divided by -1.\nAnswer: 6920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -81 - -85. Suppose -2*i - o + 15 = 0, v + 8 = i - 4*o. Solve 0 = f - 4 + i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 193947409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7231174 (base 8) to base 2.\nAnswer: 111010011001001111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2338636, -2338614, -2338588, -2338558?\nAnswer: -2338524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14260941 is divided by 304?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) -6851  (c) 2352  (d) 3  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -44*z**2 - 5*z - 43. Let j(a) = 22*a**2 + 3*a + 22. Let l(c) = -5*j(c) - 3*o(c). Differentiate l(k) with respect to k.\nAnswer: 44*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -8*n - 11. Let m be o(-2). Suppose 5*t - 15 = m. Solve -t*c = -0*l + 3*l, 3*l = -c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 76, 53, 20, -17, -52, -79, -92?\n\"Answer: o**3 - 11*o**2 + 3*o + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 8*v - 12 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 3) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 + 14*t**2 + t + 12. Let h be y(-14). Let k be 4 - (h\/3)\/(14\/252). Calculate the highest common divisor of 56 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n**(-6)\/n)*n**(4\/3)\/n)\/(n*n*n\/(n*n**(-1\/2)))**(-2\/55)*(n\/(n*n*n**6*n)*n**(-3\/8))**48 assuming n is positive.\nAnswer: n**(-12988\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*q**2*v**3 + 2*q**2*v + 207*q*v**3 + 2*q*v**2 + 370*v wrt v.\nAnswer: 48*q**2 + 1242*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.4331481 rounded to 2 dps?\nAnswer: -4.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r + 10*d + 12 - 35 = r, 75 = -5*r + 30*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 51*k**2 - 158*k - 19. Let s(h) = -17*h**2 + 45*h + 6. Determine -7*s(o) - 2*z(o).\nAnswer: 17*o**2 + o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -m + 4. Let t = 14 - 12. Differentiate 5*f**t - 3*f**m - 2*f**4 - 5 - 2*f**2 wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -12  (c) -0.4  (d) -0.1  (e) -0.5  (f) 652\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 6. Suppose -c*l - 36 = -l. Let u = 185 + l. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/1 + (-188)\/(-1). Let d = 112 - l. Let n = d + 144. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6061000 rounded to the nearest one hundred thousand?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f. Let m be t(0). Suppose -227 = h - m*h. Let u = 382 + h. What is the greatest common divisor of 62 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*2010.2\nAnswer: 8040.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 230201041 + 112?\nAnswer: 230201203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, o: 2, h: 1, m: 7, z: 4}. Give prob of sequence jm.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30*j**3 + 69*j**3 - 36*j**3)*(169*j**2 - 332*j**2 + 206*j**2).\nAnswer: 129*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1686054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 7*w**2 + 7*w. Suppose 4*n - 5*n = -2*u + 34, 0 = -5*n + 3*u - 149. Let f = n + 34. Calculate r(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3011 - 10655 = -53*u + 1969. What are the prime factors of u?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (1*(sqrt(2736)*-2 - sqrt(2736)))**2 - (1 + (-1 + sqrt(19) + 1)**2 + 1))*3.\nAnswer: 73800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-48 + 89 - 42)*2. Suppose 0*u - 98 = -4*u + 2*x, u = 2*x + 26. Put -0.5, u, q in descending order.\nAnswer: u, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of w**5 - 11*w**3 + 1546498*w**2 - 449785*w + 14.\nAnswer: 20*w**3 - 66*w + 3092996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-15 + 18)\/(1 + (-11546)\/11552). Suppose -19*v + h = -18107. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3358 by -1679.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15449, 4, -3 in increasing order.\nAnswer: -3, 4, 15449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1488, -1484, -1470, -1440, -1388, -1308, -1194, -1040?\n\"Answer: d**3 - d**2 - 1488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 105, 1 in descending order.\nAnswer: 105, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2\/3 - 123398592*y + 11420409380686848.\nAnswer: (y - 185097888)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-294 - 527 - 1797)*(5 + 1 - 4)*(x - 1 + 1) as t + p*x and give p.\nAnswer: -5236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -288 - 192. Let u = -426.2 - w. What is u rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, k: 1, x: 3, e: 2, f: 5, v: 1}. Give prob of sequence fi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 324223360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -9c620 (base 14) in base 16?\nAnswer: -5cbe4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*f - 18352 + 17182 = 0 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -3*t + 2*t - 4, -5*t + 3*x + 26 = 0. Let l be -14 - (4 - 20)\/4. What is the units digit of (l\/(-6))\/(t\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2476c - 4b2?\nAnswer: -24c1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 4:40 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63 + 71*u + 69*u + 68*u - 207*u.\nAnswer: u + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 2*g**2 - 11*g + 34. Let o be x(6). Suppose -2*b + 12*b - o = 0. Sort b, -91, -1 in decreasing order.\nAnswer: b, -1, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 77*t**2 - 15*t - 237. Let c be g(-77). What is the greatest common factor of c and 510?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-3 + 1 + sqrt(448) + -2)**2 + (3 + sqrt(448) + -1 + -5)**2.\nAnswer: -112*sqrt(7) + 924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -65*w**4\/8 - 5386*w**3 - 3492495*w**2\/4 + 6488950*w + 10661375\/8 = 0.\nAnswer: -335, -1\/5, 95\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-13)\/(-3) - 4)*0. Suppose -3*i + 4*x = -k*i, 4*i = -4*x. Suppose 5*s + 4*y + 46 - 916 = i, 3*y = -15. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15442098 and 4044359?\nAnswer: 169863078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of b**4\/4 - 3*b**3 + 4*b**2 + 6*b + 13. Let w be a(8). Suppose t + 2 = w. Solve -t*s = 4 - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d + 12, 3*g + 3*d = -0*g. Solve -x - g = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 18*v**2 - 15*v + 32. Determine w(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 4*b**2 - 5*b - 17. Calculate the remainder when a(7) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 divided by -16?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 744507 - 8*f**2 - 744507. Let u(n) = -523*n. Determine m(u(a)).\nAnswer: -2188232*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 67*y**2. Let w(s) = -17*s. Give o(w(d)).\nAnswer: 19363*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*q - 6*q = 3*q - 6*q + q + 4*f - 60, f = -3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(2\/7))\/(z\/((z\/z**7)\/z)))\/(z**3*z*z*z\/(z*z\/((z*z**(-3\/2)*z)\/z)))*(z**(-2\/11)\/(z*z**7*z))\/(z**(2\/3))**(-36) assuming z is positive.\nAnswer: z**(709\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3075496 is divided by 1537741?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -328762, -657524, -986286, -1315048, -1643810?\nAnswer: -1972572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1521492, 1521460, 1521428, 1521396, 1521364, 1521332?\nAnswer: 1521300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 - 6*o + 3. Let n be b(6). Suppose 0 = -3*s + n - 15. Let w be 3 - (s\/(-2) + 1). Solve w = 2*h + h - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**3 - a**3 + 5*a**4 + (-4*a**4 + a**4 + a**4)*(0 + 0 + 1).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -115227 or -115234?\nAnswer: -115227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -271.63885 rounded to one decimal place?\nAnswer: -271.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (7\/2 + -5 + 2)\/(1\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n = 1771402 - 6233342. Let y = n - -62580. What is y rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3*k = 4 - 1, d + 5*k = 2. Let u be d\/6 - 18\/4. Is 92\/5 + 2\/u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*l - 5*l**2 + 17*l - 5*l**3 + 16*l - 49*l.\nAnswer: -5*l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the third derivative of -s**4\/4 + 15*s**3\/2 + s**2 + 134. What are the prime factors of p(-20)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {q: 1, d: 5, t: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/(-1 - -3)*((-130)\/26 + 4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - 6 - (10 - 12) - -10. Suppose 0*i = -5*i + 20. Suppose 0 = -2*t - 4*w + 8*w - k, -i*t + 4*w = 8. Solve -q - 4*q - 25 = t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2854 + -31396\/11. Let f = -10\/23 - -89\/46. Sort w, -1, f in decreasing order.\nAnswer: f, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3056266\/31 smaller than 98588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1 - 0.2. Let m be ((-3)\/(-60))\/(1\/4). Let f = 578.03 - 578. Which is the smallest value?  (a) f  (b) h  (c) m  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141254*o + 2710 - 670 = 141169*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2717 divided by -20?\nAnswer: 2717\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 - 5*o**2 - o - 7. Let u(g) = 5*g**2 - g. Let y(x) = -j(x) - 2*u(x). Suppose -3*a + 0*a + 15 = 0. What is y(a)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 8*b + 12 = 0. Solve 0 = b*j - 8*j - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 - 1. Let b(m) = 5*m**2 + 10*m + 3. Let z be (-680)\/1020 + -1 + 14\/(-6). Calculate z*p(i) - b(i).\nAnswer: -i**2 - 10*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -0 - 6. What are the prime factors of ((-1)\/2)\/(d\/76)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/3518 - -2222499\/8795. Is o at least as big as 252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from auyauayuuaayaa?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -34*y - 6. What are the prime factors of m(-2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -72547032 divided by 4.\nAnswer: -18136758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 3\/2, 1, 0.4, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 7, a: 4, m: 1, g: 2, w: 4, x: 1}. What is prob of sequence amg?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 86.83109 meters?\nAnswer: 8683.109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9871238?\nAnswer: 2, 13, 379663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1024*o**2 + 0 + 1024*o**2 + 0 - 27*o**3.\nAnswer: -27*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5777158979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 1674457235 to the nearest 100000.\nAnswer: 1674500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1112120211111 + -10?\nAnswer: 1112120211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 317454253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 10:04 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 - 9*z**2 + 5*z - 12. Let h = 42 + -33. What is the remainder when d(h) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.5, 76, -3, -1 in ascending order.\nAnswer: -3, -1, -0.5, 2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 4181, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 10046 and 12606 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 6*p**3 + 6*p**2 + 6. Suppose -7*c + 99 = 1100. Let y = -132 - c. Let a(d) = 12*d**3 + 11*d**2 + 11. Calculate y*h(x) - 6*a(x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(12*(-4)\/(-1272)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.176 - 0.124. Sort -1.9, 1\/3, l, 0.2 in descending order.\nAnswer: 1\/3, 0.2, l, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 195 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31 + 52. Let z be 70\/i + 4\/6. Solve -1 - 11 = z*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1310\/(-350) + 3 - 2\/(-14)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10317, -10846, -11363, -11868?\nAnswer: -12361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -796741, -3186990, -7170745, -12748006, -19918773, -28683046, -39040825?\n\"Answer: -796753*u**2 + 10*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - 9 - (-14 + 2 + 4 - 5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 5*d + 51, 2*d + 121 = -5*l + 430. What are the prime factors of l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 356, 712, 1066, 1418?\n\"Answer: -y**2 + 359*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 1:39 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1572 - -2687. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1027 + 2424. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence di when two letters picked without replacement from {i: 1, l: 5, r: 4, y: 1, f: 3, d: 4}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.5458354 months in centuries?\nAnswer: 0.0021215295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 2*r - 2 = 0, 3222*k = 3226*k - 4*r + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 14) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 107 or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, p: 2}. Give prob of sequence ap.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19.92 + 20. What is a rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1148?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 98 + -399\/4. Which is smaller: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 PM and 10:09 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2377994.\nAnswer: 2, 17, 69941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -475, 208, 1343, 2930, 4969, 7460?\nAnswer: 10403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + 19 - ((0 - 4) + 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 5 = 4*o, -2*u + o + 37 = 41 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*y + 2 = -19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-60)\/105 - (1 - 441370\/84). Let z = -5239 + y. What is the common denominator of -39\/14 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -58 + 55. Let n = -2 + 1. Let f = n + 3. Put 0.1, b, f in descending order.\nAnswer: f, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of k**4 - 351*k**3 - 6*k**2 + 64*k + 135 wrt k.\nAnswer: 12*k**2 - 2106*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-50)*-1)\/(1173\/(-782))?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123519 is divided by 714?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 4*q + 11. Let p be z(-3). Let a(f) = 5*f**2 + 2*f + 11. Let c(x) = x**2 - x + 1. Let k(u) = p*a(u) + 6*c(u). Calculate k(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 12*w + 114. Let c(k) = 12*k + 95. Calculate 7*c(o) - 6*r(o).\nAnswer: 12*o - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -14, -2004 in decreasing order.\nAnswer: -1, -14, -2004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 7043 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5 or 14\/67?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13.5 - -13.5. Let j = 0.1 - 0. What is the closest to j in l, -5\/2, -2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26184 is divided by 1898.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s, h + 4*s + 0 = -2. Let x = -0.4 - -0.9. Let j = -0.6 - -5.6. Which is the smallest value?  (a) j  (b) x  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1628 + -1594. Which is the third smallest value?  (a) 1  (b) 4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + 45521542?\nAnswer: 45521535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 9*z + j + 18 = 0, 3*z - 5*j = 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from {m: 5, v: 5, g: 4}?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40 - (-5068)\/126)*(-54)\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2.9232777 and -584658.\nAnswer: -584655.0767223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t**4 + 1896*t**3 - 106512*t**2 + 1217944*t - 3947244 = 0. What is t?\nAnswer: 7, 49, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -24916*b**2*q + 24840182*b**2 - 2795*b*q**2 wrt q?\nAnswer: -24916*b**2 - 5590*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 210743, 210454, 210163, 209870, 209575, 209278?\n\"Answer: -f**2 - 286*f + 211030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5474977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.058925 millilitres in litres?\nAnswer: 0.004058925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 71, -2, -0.21, 0.3 in ascending order.\nAnswer: -2, -0.21, 0.3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 770741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 4*d, -3*n - 10 = d - 0*n. Suppose d*c = -c. What is the second derivative of 2*i**3 + c*i**3 - i + 2*i wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1143633499 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (24\/(-18))\/((-2)\/3). Suppose 5 = -z*c - 7. What are the prime factors of (24\/10)\/(c\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -193598159*z**5 - 236951868*z**2 wrt z?\nAnswer: -11615889540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 - 11*r + 1. Determine i(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44697 and 423.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t - 24 = 276. Suppose -2*a - t = -31. Solve -8 = -3*q + a*r - r, r + 18 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -19 and 5954517.5.\nAnswer: 5954498.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5\/19  (b) 5  (c) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.511161cm in kilometers?\nAnswer: 0.00000511161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 71622 or 71625?\nAnswer: 71622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -557 (base 10) to base 9\nAnswer: -678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*o + 24 = 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -972 + 1009. Calculate the remainder when 71 is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.06 - 0.06. Let b = -26.3 - -26. Sort b, 2, r in descending order.\nAnswer: r, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -4*g**2 + 2*g + 3. Let c(r) = 5*r**2 - 2*r - 2. Let n(p) = -4*c(p) - 3*u(p). What is n(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 10 + 14. Which is smaller: -3\/56 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 239135.9 minus 0.7?\nAnswer: 239135.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 10280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 14683*a + 16404 wrt a.\nAnswer: 14683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 22*p**2 + 18*p - 6. Let f(v) = -22*v**2 - 18*v + 5. Let b(n) = -6*f(n) - 5*k(n). Find the second derivative of b(c) wrt c.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -3*i**2 + 34*i - 38. Let b be h(10). Let s(o) = 15*o - 1. Let x(q) = 7*q. What is b*s(z) - 5*x(z)?\nAnswer: -5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 95934622 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3, 2\/331, -9, -0.3, 4\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -3*r**4 + 1089*r**3 + 4824*r**2 - 154140*r = 0.\nAnswer: -14, 0, 10, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6468 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 635697408?\nAnswer: 2, 3, 31, 26701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oodwydboydfodww. Give prob of picking 1 y, 1 w, and 1 b.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 804 is divided by 409?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -0.1785.\nAnswer: 0.5355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ynynyncnncnry. What is prob of picking 2 y and 1 r?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2 + 0 - 1 + 2*y. Let j be m(-1). Let h be j*(-14)\/(2 - 0). Solve -2*g + 1 = -h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 134604407, 269208810, 403813213, 538417616?\nAnswer: 673022019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2770*z - 39 = -3*x + 2773*z, x = 3*z + 33 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -2*sqrt(153)*-1*-3 + sqrt(153) + (1*sqrt(153)*1 - sqrt(153)) + 1 + sqrt(153) + 3)**2*5.\nAnswer: 12240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*o + 1 - 1)*(-3 - 2*o + 3) + (0*o + 0*o + 2*o)*(0*o + 2*o + 0*o) + 3 + 2*o**2 - 3)*(2 - 2 + o**2).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 10282551, 20565102, 30847653, 41130204, 51412755?\n\"Answer: 10282551*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2543, 4970, 7383, 9776, 12143, 14478?\nAnswer: 16775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(500)*2 - (sqrt(500) - (sqrt(500) + 1*sqrt(500))*4) - (sqrt(500) + -2 + -4 + -5 + -1 + sqrt(500))) + -5)**2.\nAnswer: 1260*sqrt(5) + 40549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4777 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 the greatest common divisor of 10 and 9530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/12 and -4\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 + 31*o**2 - 276*o - 2047. Determine s(-37).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-9)\/(-3))\/(-6))\/(5\/(-6)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6196.191 centuries in years?\nAnswer: 619619.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 6623  (c) 2\/51  (d) 5  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1044781 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -5*a + 21, -4*a = -3*p - 12 - 20. Suppose 0 = a*l - 29 - 46. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21663961 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/9, -259\/2, -1, 0.4, 6\/29?\nAnswer: -259\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/5, 2\/3, 47, 4, -2?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 241 * 3848\nAnswer: 927368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of 86.4345825745 and -26.2.\nAnswer: 60.2345825745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of -s**9\/840 + s**5\/10 + 7*s**4\/12 + 9*s. Let u(l) be the third derivative of k(l). Differentiate u(t) with respect to t.\nAnswer: -72*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - -2) + (-1 - 0). Suppose m = -o*m + 110. Let h = -654286 + 654296. What is the highest common divisor of m and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 300189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from rrnnnnrnnrnrn?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16241*l**2 - 7265*l**2 + 5 - 8978*l**2 - 5.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s**2 + 13*s - 8*s - 5*s**2 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 0*a = 4*l, 0 = -a + l - 0*l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44, 24, 12, 14, 36, 84, 164?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1022\/5 + 204. What is the nearest to -1 in p, 1, 2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -178.934 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 1:55 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-30))\/(3\/((-1275)\/68)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-147 - 0)\/((189\/28)\/9). Let w = -193 - h. Solve 0 = -3*b - 3*p + 3, -4*p = 2*b + w*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 62964, 251987, 567034, 1008111, 1575224, 2268379, 3087582?\nAnswer: 4032839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h - 179 + 19 = 0. Suppose -4*g - j = -h, -4*g + 2*j + 20 = 6*j. Let r = -8 + 29. Put -1, g, r in descending order.\nAnswer: r, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 - 14. Let s(j) = -j**2 + j + 1. Let k(d) = 7*d**2 - 6*d - 1. Let w(g) = -k(g) - 6*s(g). Let b be w(0). What is the nearest to 7 in b, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-100163)\/(-9) + ((-16)\/18)\/4. Round b to the nearest one hundred.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24510*b = -23398*b - 97856 for b.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 35 + 17?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.5087 - 0.4487. Which is the second smallest value?  (a) 4  (b) -1.1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 472400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f - f + 4*f)*(4*f - 4 + 4)*(-7 + f**2 - 6*f + 7).\nAnswer: 12*f**4 - 72*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2992 + 2989. Let x(q) = -11*q**2 - q + 4. Let h(m) = 12*m**2 + m - 5. Give b*h(f) - 4*x(f).\nAnswer: 8*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -16293\nAnswer: -1\/16293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 66 and 6.5.\nAnswer: 72.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 + 23 + 38*b**2 - 44.\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 15 = -5*w, 2*w - 5 = -4*v + 1. Suppose -5*f - 20 = 6*g - 5*g, v = 5*g + 2*f + 8. Solve g*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63830.\nAnswer: 2, 5, 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 75\/62 and -89\/400?\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -185 + 5?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 1904*z + 3860. Give y(-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 + 16*c - 255. Determine p(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - -111111111?\nAnswer: 111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.2 - 11972241?\nAnswer: -11972208.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r**3 + 3*r**2 + 8*r. Let u(s) = -9*s**3 + 9*s**2 + 23*s. Let n be ((-90)\/70)\/((-1)\/(-28)*-6). Calculate n*u(t) - 17*p(t).\nAnswer: -3*t**3 + 3*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -6*v - 37. Let k(x) = -10*x - 71. Let s(n) = 2*k(n) - 5*o(n). What is the units digit of s(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34 + 13*t**2 - 34 - 2*t**2 - 4*t**2 + 7*t**2 + (7*t - 2*t - 3*t)*(-3 + t + 3) + 2*t**2 - t + t to the form a*t**2 + n + q*t and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*b - b. Let h = -1367 - -1372. Suppose -5*l = h*p + 10, -102*l + 3*p = -100*l - 6. Solve 2*t = -2*n - 18, l*t = 2*t + b*n + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 - 11. Let v = 6550 + -6547. Solve 2*a = -4*f - 6, k*f + v*a + 5 + 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 4*p + 6, -5*p - 2 = 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 154313 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 233320 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -421*a**2 + 6937*a.\nAnswer: -842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 34667759 or 173338789\/5?\nAnswer: 34667759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15945 - -15944.99980973. Round r to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 2 - 5)*(6*l + 35 - 35) + (0 - 1 + 3)*(0*l - 4*l + 3*l) to the form j*l + n and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 102457164071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10312 + 10312.1. What is the nearest to t in 14, 2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -4 and -912.\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -769 + 884. Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {x: 11, h: 5}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of l**7\/840 + l**6\/60 + l**5\/24 + l**4\/8 + l**3 - 2. Let v(w) be the third derivative of y(w). What is v(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**2 - h + 1. Let a = 6 + -4. Let m be i(a). Let y = 28 - 29. Sort m, 3, y in descending order.\nAnswer: 3, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 570  (b) 0  (c) -3  (d) -2  (e) -4  (f) -1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 PM and 5:38 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 8*q + 1. Suppose 2*w = -3*p + 1, -p - 3*w + 2 = 4*p. Is 4 a factor of h(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 13213, -0.41, -2?\nAnswer: 13213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -882 + 5626 + 11448 = -183*o - 70*o for o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 + 0)*(-38)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2301\/11 - 209. What is the nearest to m in -3\/11, 1, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -376005 at most as big as -376007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -97*j - 2869*j**2 - 5*j**4 + 2863*j**2 + 19*j to u*j + z*j**3 + w*j**4 + h*j**2 + q and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 0*z**2 - 19*z + 0*z**2 - 2*z**2. Let d(h) be the second derivative of h**4\/12 + 3*h**3\/2 + 2117*h - 2. What is 9*d(p) + 4*r(p)?\nAnswer: p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -26, -52, -76, -92, -94, -76, -32, 44?\n\"Answer: a**3 - 5*a**2 - 18*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) -1\/2  (b) -6  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 + 4*i**2 + 7*i + 4. Let a be j(-3). Let z be 3 - 2*(-4)\/a. List the prime factors of z\/(-8) - 457\/8*-2.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4968?  (a) -2\/113  (b) 2  (c) 0  (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 28*m**2 + 28. Let q(b) = 1. Let j(g) = k(g) - 28*q(g). Let t(s) = s. What is j(t(y))?\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -24*j - 9. Let l(p) = -2*p + 14. Let z be l(0). Let x(i) = 4*i + 13. Let w(y) = -y - 2. Let t(s) = z*w(s) + 2*x(s). What is -2*g(b) + 9*t(b)?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 5748327204+-0.5\nAnswer: 5748327203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = k - 4. Let z be 0\/(2\/(2*k)). Suppose -2*m + 4*m - 16 = z. Solve 2*i - i + 5*l - 6 = 0, -4*i = 4*l - m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 11. Let q = 299\/99 + -32\/11. Which is the closest to k?  (a) -5  (b) q  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 102 + 205?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.323 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 10:45 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 190 + -195. Let p(c) = 8*c**2 - c + 3. Let q(l) = 2*l - 16*l**2 - 1 - 1 - 3. Let s(t) = f*p(t) - 3*q(t). Give s(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 2183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -16*g**3 + 2*g**2 + g - 1. Is q(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 551 a factor of 113805435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1564718\/121 + -12932. What is the common denominator of 14170\/(-1199)*5\/60 and u?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37 - 60. Let z = -22.9916 - i. What is z rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes after 9:34 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + 3\/6*2. Let q be 18 + 0 + (a - 0). Suppose 0 = 5*p - 8*p. Solve s - 5*t - q = 0, 20 = -s - 3*t - p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1 + sqrt(637))*-4 + -1)**2 + ((sqrt(637) + (sqrt(637) - sqrt(637)*-1))*6)**2 + 5)*1.\nAnswer: -168*sqrt(13) + 216594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(114) - (sqrt(114) - -5*sqrt(114) - sqrt(114))*2 - sqrt(114))*-6)\/(4*(-2*sqrt(150)*-4 + sqrt(150))).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16157730 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (5 - 18\/((-12)\/(-4)))*0. Suppose 5*t = 3*z + 38153, -z - 12 + 16 = s. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6480) + sqrt(6480)*-2 - (sqrt(360)\/sqrt(8) - sqrt(45))*5)\/(((1*sqrt(108) - sqrt(108) - sqrt(108))*-4 - sqrt(108))\/(1*sqrt(300))).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/(x\/x**(-3)))**2\/(x**(2\/7)*x)**(-26) assuming x is positive.\nAnswer: x**(206\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -264 + 267. Let h(z) be the third derivative of -1\/60*z**6 + 0 - 2\/15*z**5 - 5\/12*z**4 - 2*z**2 + 0*z - 2\/3*z**t. Determine d so that h(d) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + 0)*(0 - 1 + 2)*(21 - 21 + 6*h).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 + -1. Let w(f) be the first derivative of 11*f**2\/2 + 13*f + 1625. Let n(r) = 5*r + 6. Let c(o) = y*w(o) + 13*n(o). What is c(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -1 + 71*u - 71*u + 1 - u**2. Let n(r) = -6*r**2 - 4*r + 1. What is -4*g(i) + n(i)?\nAnswer: -2*i**2 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/(-13) - 1773\/(-1638) and 77\/46.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -699*f + 8937. What is the hundreds digit of v(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of 0 + w + 1\/6*w**3 + 0*w**2. Let d(u) = -2*u. Give d(r(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/9808 and -59\/28.\nAnswer: 68656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, c: 2, q: 1, v: 3, i: 1, z: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**4 - t**3 - t. Let j(b) = 20*b**3 + 5*b. Let f(p) = j(p) + 5*m(p). Let f(l) = 0. Calculate l.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49927824 to the power of 1\/2, to the nearest integer?\nAnswer: 7066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45 + -44. Let r(h) = -h**2 + h. Let y be ((-1)\/2)\/(1\/(-6)). Let o(z) = 2*z**2 - z + 1. What is v*o(l) + y*r(l)?\nAnswer: -l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 586 is divided by 91.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 670, 682, 706, 748, 814, 910, 1042?\nAnswer: 1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that u**2\/8 + 21*u\/8 + 27\/4 = 0.\nAnswer: -18, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 - (-3 + 48\/15 + 31\/(-5)). Solve -1 + 24 = 4*c - 3*b, c + b = -p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1471, 1469, 1465, 1459, 1451, 1441?\n\"Answer: -h**2 + h + 1471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 391*s + 721*s + 701*s + 723*s - 2543*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -19.269142 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-3))\/(28\/(-24))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1906, -1914, -1912, -1894, -1854, -1786, -1684, -1542?\n\"Answer: h**3 - h**2 - 12*h - 1894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.6 * -478258.\nAnswer: -1721728.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 8:32 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + -1. Let z be (-108 + -6)*(-1)\/(-10). Let o = z + 196\/15. What is the closest to v in 1, -2\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17 (base 8) to base 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1044 + 276?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that t**5\/2 + 20*t**4\/3 + 103*t**3\/6 + 3*t**2 - 62*t\/3 - 20\/3 = 0.\nAnswer: -10, -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5764043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (6 + -13)\/((-1)\/5). Suppose 0 = o - h - 33. Calculate the greatest common divisor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(1\/7)*q)\/q*q**(-6))\/((q*q**6)\/(q*q**(-1\/9)*q*q)))\/(((q*q**(-2)\/q)\/q**(-2\/11))\/(q**(-1\/3)*q**(-2\/15))) assuming q is positive.\nAnswer: q**(-29857\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2603)\/760 + (-133)\/(-35). Factor -3\/8*a**4 - 3\/8*a**3 + 0 + 3\/8*a + x*a**2.\nAnswer: -3*a*(a - 1)*(a + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5501 + -5505.786. Let x = p - -0.786. Is x > -0.65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c = 4*r + 92, -2*c + 5*r + 61 = 0. Suppose -84 = -c*i - 3*i. Solve i*b + 1 - 5 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -694430*v**3 + 1177*v - 5885. Let a(p) = -1181*p**3 + 2*p - 10. What is -1177*a(q) + 2*r(q)?\nAnswer: 1177*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 - 8 = -2*k. Which is the biggest value?  (a) -3\/5  (b) k  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(70)*2*3*6)\/((sqrt(440)\/(sqrt(11) + sqrt(44)\/sqrt(4)))\/((sqrt(40)*-2)\/sqrt(10))) + 4.\nAnswer: -288*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 220509.\nAnswer: 3, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -303.283473 rounded to 2 decimal places?\nAnswer: -303.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -9 - (14 - 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16941835.\nAnswer: 5, 61, 55547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242)\/sqrt(99))\/(sqrt(10)\/sqrt(5)*5).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -7*b**2 - 5759*b + 58256. Determine r(10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 - i - 1. Let b(v) = 2*v - 4. Let a be b(6). Let u be a\/2 - (-2 + 1). Suppose u*s = s + 12. Let m(c) = -4*c**2 + 3*c + 2. What is s*k(g) + m(g)?\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - t - 4 = 0. Suppose -q - t*q = 3*g, 0 = 5*g + 10. Solve -3*j - 2 = -q*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -112*j + 177*j + 207*j - 76*j + 258*j as c + z*j and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 128844 smaller than 129674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7729262 and 786?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 67*u**2 - 110*u - 2861. Determine s(-68).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 29204955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11547 by -1283.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -8. Suppose 0 = -l*x - 20, 5*n + 5*x + 241 = 81. Let k be (-1)\/(2*2\/n). Solve c - 10 = -5*j, -c + k = 3*j - j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/9 - 116\/36. Let f be (y - 15\/(-6))\/1. Let v be 4\/14 - (-4)\/(-14). Sort 4, v, f in decreasing order.\nAnswer: 4, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 2 = -22. Let g(s) = -s**2 + 0*s**2 - c*s**2 + 5 + 5*s**2 - 9*s. What are the prime factors of g(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -1. Let z(t) = -5*t**2 + 2*t - 1. Let q(j) = -5*j**2 + j. Let r(x) = 4*q(x) - 5*z(x). Calculate the remainder when 102 is divided by r(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -42, 5, 1 in descending order.\nAnswer: 19, 5, 1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -2*r - 5. Let i be w(-4). Let a(t) = -3*t**2 + 20*t**3 + 3*t - 19*t**i - 2*t**2 + 3. Calculate a(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 2*g**3 - 123*g**2 + 903*g - 12. Determine v(53).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(243) + -3 + sqrt(243))*-2 - (sqrt(243) + -2 + 3 + sqrt(243))*6)**2.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*(d*d**(-4\/3))\/d)**(-3) assuming d is positive.\nAnswer: d**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32\/3*k + 2\/3*k**2 + 10 = 0. Calculate k.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12\/1087, 4, 6 in increasing order.\nAnswer: -12\/1087, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/5*j + 0 - 8\/15*j**2 + 2\/15*j**3 = 0. Calculate j.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 2462367780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1621 - 1619.6. Sort 3, 0, -0.3, j in descending order.\nAnswer: 3, j, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/15, 355\/16, 2199, 5\/8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8\/18 + ((-227220)\/(-54))\/5?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.124*0.4\nAnswer: 0.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 486442?\nAnswer: 2, 11, 22111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 41, -60, 20 in increasing order.\nAnswer: -60, -5, 20, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 36*a**2 - 259*a - 7. Calculate v(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 14\/(-91) + (-22)\/26. What is the closest to w in -0.2, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 25, 61, 111, 181, 277?\n\"Answer: c**3 + c**2 + 26*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000660956 rounded to six dps?\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of -3639*x**4\/8 + 856*x**3 - 2*x**2 - 13*x - 68. Differentiate n(a) wrt a.\nAnswer: -10917","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3207\/17 + -1388733\/7361. Is r at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 857*p**3 + 863*p**4 + 269*p**2 - 857*p**3 + 223*p**2 wrt p.\nAnswer: 20712*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 7*c - 3*c)*(-2*c + 2*c + 2*c) + (5*c - 8*c - 2*c)*(4*c - c + 3*c) + (-4*c + 3*c + 2*c)*(c - 1 + 1).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14434 and 8.\nAnswer: 57736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42 = -3*g - 3*s, 0 = 3*g + 101448*s - 101453*s + 82 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2\/6 - 1744*m\/3 - 1520768\/3.\nAnswer: -(m + 1744)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 7. Let a(y) = -11*y + 15. Let x(s) = -5*s + 7. Let d(l) = k*a(l) - 9*x(l). What is d(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*j + 232 = -379. Which is smaller: -52 or j?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39 + 0 - 2)*(-2*o**4 - o**4 - 2*o**4).\nAnswer: -185*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 214 = 2*b - 0*m, -1173 - 830 = -5*b - 44*m + 216 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 76524 - -101.21265544?\nAnswer: 76625.21265544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -673 in -2, -0.015, 3, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 1. Suppose -k + w = 3, -5 - 7 = -4*w. Let u be -1 + (-15)\/(-18) + k. What is the nearest to c in u, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 0 - 1\/2*s**2 - 1\/2*s = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (27 - (-6)\/(-2)) + 1. Suppose 4*t = a + 103. Is (-2)\/8 + 9896\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2562 = 24*q - 14814. What is the smallest common multiple of q and 28?\nAnswer: 5068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-1 - (6 + -9) - 12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*f**2 + 11473*f - 45269?\nAnswer: 6*f + 11473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -66416 by 807.\nAnswer: -66416\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 846867 a multiple of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1675912939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 95916 by 2.\nAnswer: 47958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 3:35 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-23 + 7 + 9 - 2 + 10 + 3 + 1 + 2 - 1 + (5 - 3 - 4)*(-3 - 4 + 5))*(5*v + 2 - 2)*(-2*v - 2 + 2)*(1 - 4 + 2)*(0 - 2 + 0) as p*v + z + n*v**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*f - 20 = 65 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*g + 3*g - 9*g)*(4*g - 2*g - g) + (381*g - 1004*g + 412*g)*(-2*g + 0*g - 3*g) in the form q*g**2 + s*g + n and give q.\nAnswer: 1046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56313 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/6 - (196\/(-60) - -4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1cb (base 13) in base 12?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the second derivative of t**7\/17640 + t**6\/140 + 27*t**5\/70 + 13*t**4\/12 - 3*t - 5. Let s(l) be the third derivative of k(l). Factor s(a).\nAnswer: (a + 18)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -4*i + 28523, -3*t + 5*i - i + 28507 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -5690*w**5 - 91086*w**4 - 512836*w**3 - 1142140*w**2 - 720450*w - 5750 = 0.\nAnswer: -5, -1, -23\/2845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/1750222 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 5*i + 1. Let d = -306 + 307. Calculate w(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4507\/924 + 179\/28. Let i = -498539\/30 - -16621. Calculate the common denominator of g and i.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a minute in seconds?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 + 19*i + 3. Let h be b(19). What is the tens digit of 1\/(h\/63 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 43*w + 434. Let j be v(-10). Suppose 0*y - 2 = y. Put j, 2, y in increasing order.\nAnswer: y, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + -44150?\nAnswer: -44152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + 0 - -41) + (-17 - -1 - -11)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1964 is divided by 438.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-109)\/((-63329)\/(-37599)) - (-5)\/7*1 - 4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2. Let r(f) = -13*f + 11. Let n(p) = -7*p + 6. Let a(d) = 11*n(d) - 6*r(d). What is a(k(v))?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 139518 and 7?\nAnswer: 976626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26047853*o = -4*j - 26047848*o - 29, -4*j - 5*o = 59 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4097.\nAnswer: 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.12, -3\/7, 9966, 0.1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1002 - -1000220211002?\nAnswer: 1000220212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 - 9)\/(-99) + 88\/18. Suppose 5*n - 20 + 0 = -c*o, 10 = 4*o + 2*n. Put 4, -10, o, -7 in descending order.\nAnswer: 4, o, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2314*c = 2300*c - 42. Suppose 2*d - 4*o - 4 = 0, -5*d - o - 2 = 21. Sort 1, -2, c, d in decreasing order.\nAnswer: 1, -2, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29, 51, 73, 95, 117, 139?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12b (base 16) to base 15.\nAnswer: -14e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -284*o + 1230 - 1230 - 464*o - 87*o to k + w*o and give w.\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -4 + 1 + 1 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/2 - (-30)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -38655 - -2628481\/68. Calculate the common denominator of -45\/187 and x.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**34)**25)**(-32) assuming n is positive.\nAnswer: n**(-27200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -r - b + 14, 2*b - 20 = -2*r. Suppose r*d - 17*d = -24. Solve -3*z - d*u = 15, 3*z + u = 2*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*q - 4*q + 240 = 0. Solve 6*r = q*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 5.2  (b) 8  (c) 25.611\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 49 and 17591?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 4 - 2. Let z(y) = -j*y**2 + 0*y**2 + 4*y**2. Let n(b) = -15*b**2. Let v(o) = -23*o**2. Let g(f) = -8*n(f) + 5*v(f). Give z(g(w)).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -37597 * 0.0002.\nAnswer: -7.5194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/4)\/(90\/(-12)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 + 42*z**2 + 78*z + 43. Determine d(-40).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6906, -6921, -6962, -7041, -7170?\nAnswer: -7361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -49.6 - -46.6. Let g = -251 - -2257\/9. Let x = -2.97 + -0.03. What is the closest to x in 5, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -2*m. Let p(z) = -2*z**2 + 94*z - 1730118. What is p(a(t))?\nAnswer: -8*t**2 - 188*t - 1730118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rccrcrccccccrccccccr. What is prob of picking 4 r?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/5*j**5 + 64\/5*j + 24\/5*j**4 + 0 - 96\/5*j**2 + 4\/5*j**3.\nAnswer: 4*j*(j - 1)**2*(j + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28351*i**2*j**2 - i**2 - 8*i*j**2 + 51*i*j - 3*i - 3 wrt i?\nAnswer: 56702*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 5*j**4 - 140*j**3 + 1100*j**2 - 4340*j + 6480. Let m(k) = -k**3 + k**2 - k. Let s(r) = -f(r) + 20*m(r). Factor s(w).\nAnswer: -5*(w - 6)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 441 + -258. Let b = w - 163. What is the remainder when 77 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 9*i**2 - 52*i - 6. Let r(z) = 9*z**2 - 50*z - 5. Calculate -6*r(y) + 5*x(y).\nAnswer: -9*y**2 + 40*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) 1.4  (c) 14\/433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*i**2 + 3*i**2 + i**2 + (2*i - 29*i**2 - 2*i)*(3 + 2 - 4 + (-1 + 3 + 0)*(1 + 0 - 2)) to z*i**2 + r*i + g and give z.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -13\/61  (b) 1\/4  (c) -1  (d) 7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.03, -1\/5, -2, -4, 6.6 in decreasing order.\nAnswer: 6.6, -0.03, -1\/5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + 13*c**2 - 11*c - 3. What is x(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1315098 and 486?\nAnswer: 35507646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4195, 9332, 14469, 19606, 24743?\nAnswer: 29880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 266253.49 rounded to the nearest one hundred?\nAnswer: 266300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 1145874*o + 7506*o**3 - 1145874*o + (3*o + 4*o - 6*o)*(-1 + 1 + o**2) in the form n + u*o**3 + h*o**2 + r*o and give u.\nAnswer: 7507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 8 = l, 5*l + s - 20 = 2*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**2 - 2618*y - 1048.\nAnswer: (y - 524)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 56 - 49. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 3, -3, -11 in ascending order.\nAnswer: -11, -7, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 78 in -2\/37, -7010, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210*q + 653*q = 26753 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1712, 1653, 1554, 1415, 1236?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -34*q - 490. Give o(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000011176401 to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 10:19 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j**4 - 34788*j**3 + 68824812*j**2 + 198661736448*j = 0. Calculate j.\nAnswer: -1536, 0, 6566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5345 - 5344.5. Sort -0.07, 5, -0.04, w.\nAnswer: -0.07, -0.04, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1740464 + 2*r - r + 1739863 to n*r + v and give v.\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1587 + 1602. Calculate the highest common divisor of 117 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 26388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4079 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/3 - 548\/3. Suppose -2*k - 8 = 0, -n + k + 5 = -0*k. What is the common denominator of -37\/7 and -1*y\/(-12)*n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 12 = -4*m - 4*j, -j + 13 = -4*m. Let x be ((-33750)\/(-24))\/(m\/128). Round x to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*a + 42 = -20*a. Let b(o) = o**3 - 12*o**2 + 20*o + 2. What is the tens digit of b(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 444547977.2 to the nearest 100000.\nAnswer: 444500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 55854 and 12267.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 260 divided by 260.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -475.0177842 - 0.9485158. Let k = 476 + x. What is k rounded to three decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 11:06 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 79\/3 of a day in minutes?\nAnswer: 37920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 + 6*t + 3. Let n be h(5). Let x = 30 + -29. Calculate the highest common factor of x and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 4*f = 8865, 16*p + f - 26573 = 13*p. What is the thousands digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) -173  (c) -260\/7  (d) 1  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13122 - -111?\nAnswer: -13011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add -20172 and 33932.316.\nAnswer: 13760.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 817912, 1635878, 2453846, 3271816, 4089788, 4907762?\n\"Answer: d**2 + 817963*d - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 286025 = 2*o + 1361365. Let v = -1771731 - -964061. Let n = v - o. Round n to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 55463*a + 2517572.\nAnswer: 55463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4820*0.3.\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-13 + 3)*(-8)\/20. Suppose 3*v = p*c + 11, 2*c - v + 3 = -2. What is the nearest to 0 in c, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, v: 15}. What is prob of picking 2 f and 1 v?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6.56 and 11361?\nAnswer: -74528.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -297*k - 145*k**2 + 297*k + 19*k**2 in the form g + w*k**2 + u*k and give w.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 171*b**2 + 2 + b**3 + 0 - 32*b - 176*b**2 + 12*b. What are the prime factors of d(8)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b\/(b*b**(-2\/7)))\/b)\/b**(-2\/7))**(-3\/28))**43 assuming b is positive.\nAnswer: b**(387\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -6*s**3 - 2*s**2 - 3. Let h(x) = 86*x**3 + 64*x**2 - 528*x + 938. Let i(g) = h(g) + 14*y(g). Factor i(p).\nAnswer: 2*(p - 8)*(p - 2)*(p + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -160, -679 in ascending order.\nAnswer: -679, -160, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*z**2)*(-4*z**2 + z**2 + 8*z**2) + 61 - 61 + 8*z**4.\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 127 = -11*h, -h + 16 - 3 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30651*-0.023.\nAnswer: 704.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 3*p**3 - p**2 - 5. Let x = 338 + -333. Let w(d) = d**3 - d**2 - 2. Determine x*w(n) - 2*o(n).\nAnswer: -n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 102781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a - 4. Let h be y(2). Suppose h = -17*p + 33*p - 4240. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-21)*2*(-15)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*h**3 + 5838*h**2 + 23112*h = 0. What is h?\nAnswer: -1926\/5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, 14, 73, 178, 341, 574, 889, 1298?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyhoypohpoy. What is prob of sequence pp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 3*h - 30 = -5*h, -k - 3*h = -19. Put k, 5, -1\/12, -0.1 in increasing order.\nAnswer: -0.1, -1\/12, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -3*c**3 - 12*c + 13. Let t be s(1). What is the nearest to 0.1 in -8, -3, 1\/3, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + -2. Let n(j) = 4*j - j**3 + 33*j**u + 2*j**3 - 39*j**2 - 6 + 0*j. What is the units digit of n(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 24.54  (b) -9.1  (c) -1\/4  (d) -5  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-4\/15)*n**(-24) assuming n is positive.\nAnswer: n**(-364\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1628738.3 rounded to the nearest 100?\nAnswer: -1628700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24641219.\nAnswer: 24641219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 10\/3*(-3)\/(-15). Determine k so that 0 - 2\/9*k**5 + 4\/9*k - 2\/3*k**2 - 2\/9*k**3 + u*k**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + 3)\/(((-36)\/(-8))\/(-9)). Let f be -4 + 0 + 0 + -1. What is the second smallest value in t, -3\/8, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3754.4 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 6*a**2 + 9*a + 3. Calculate the remainder when 37 is divided by m(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1373682966*k**2 - 16825672*k + 154568\/3 = 0 for k.\nAnswer: 278\/45393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/4, -2, 31495?\nAnswer: 31495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -70 (base 9) to base 8.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqgxxqqqxxqqqgqqqqg. Give prob of picking 1 q and 1 x.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1054\/(-51) - -15 - (-7)\/1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 102212*r**3 + 253*r**2 + 253*r - 506. Let x(k) = 2024*k**3 + 5*k**2 + 5*k - 10. What is 5*o(g) - 253*x(g)?\nAnswer: -1012*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*(h\/((h**15*h)\/h)*h)\/h*h*h*h*h**(-3)*h*(h**(-8))**(-1\/19) assuming h is positive.\nAnswer: h**(-220\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 24 - 34274?\nAnswer: -34250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/(-4)*(-25)\/2. What is the tens digit of -6*(l\/(-5) - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -86730505 divided by 17346101\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9710 - 8094 = -602*w - 3918 - 1244 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 1111500250?\nAnswer: 1111500242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -1 - (21 - 6 - 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -29*g + 111. Let n be q(6). Let r = n - -76. Solve 5*l + r = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -592 - -587. Which is the nearest to -2\/15?  (a) j  (b) -36  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/1281 and -17\/18270.\nAnswer: 1114470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 11\/2. Let m = 4142 + -4142. Put w, -3, -2\/13, m in descending order.\nAnswer: w, m, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m**4 - 3*m**4 + 0*m**4)*(4*m - 23*m - 104*m).\nAnswer: 861*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b7 + -1392?\nAnswer: -12ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 AM and 7:58 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 6*a**2 + 11*a - 32. Is b(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 3059, -0.49 in ascending order.\nAnswer: -0.49, 2\/3, 3059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 204 divided by 204.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 12446420 divided by -1?\nAnswer: -12446420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/11)*y*y*y**4)\/(y\/(y*y**0))**(22\/3) assuming y is positive.\nAnswer: y**(64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 19 + -497946?\nAnswer: -497927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-3))\/(((-84)\/(-8))\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 425.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10096 and 181803720.\nAnswer: 363607440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 - 4*j + 12. Let p(x) = -2*x**2 + 8*x - 23. Let q(y) = -11*f(y) - 6*p(y). Let m = 0 - -6. What are the prime factors of q(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 14) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 48.13345 meters?\nAnswer: 0.04813345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -720 - -1140. Suppose 15*g + d = 20*g. Let c = g + 209. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from {i: 1, h: 5, o: 5, r: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-70750)\/(-2008) - 2\/(-8). Let n = u + 4\/251. Calculate the common denominator of n and 69\/10 + (-5 - -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22 - 31. Let m = t + 9. What is the nearest to 2\/5 in m, -1\/4, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 0. Let j be (-46)\/(-10) + (-6)\/10. Let v(d) = -d. Let m be v(j). Which is the nearest to -0.2?  (a) 0.1  (b) o  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-134944)\/(-88))\/1 + 36\/66 is divided by 121.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 5*a = 1989129, -1822455 - 8123138 = -5*f - a. Suppose x = -x, -5*s - 3*x + 4445595 = 0. Let m = s - f. What is m rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 2*a + 4347. Suppose 2*c = 5*c + a. Is c\/(-9) - 4\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 3*h = -4*f + 98, -4*f + 100 = -4*h. What is the lowest common multiple of f and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (0 - (-8 - (-4 - (-3 + 5))))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-3)\/(-6)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -85 - -84.9999987. What is p rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -60*m**4*t**3 - 4*m**2*t**3 - 2*m*t - 67*t**3 wrt m.\nAnswer: -720*m**2*t**3 - 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 i when three letters picked without replacement from {i: 2, o: 5, m: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 + 100. Let h = f - 79.2. Let d = -4.396 + h. What is d rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 115 = -d - 36, 0 = -l - 4*d - 20 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2361 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 136632556*p*q**2*t**3 - 8*p*q*t**3 - p*q*t + 2*p*q - 146*p*t**3 + 4*p*t**2 - 2*q*t**3 - 2*q*t**2 wrt q?\nAnswer: 273265112*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20400*q**3 - 6 + 3 + 20403*q**3 + 3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1176829.\nAnswer: 449, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 222 - 229. What is the tens digit of (a + 2)*(-8)\/(48\/114)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.2327 + -0.0673. What is the second smallest value in 4, q, -306?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38049476 to the power of 1\/2, to the nearest integer?\nAnswer: 6168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25199 = -375*n - 15074 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123009?\nAnswer: 3, 131, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -3*a + 1263, -5*a = -0*a - 2*g - 2090. Calculate the greatest common divisor of a and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -276, 899, 2858, 5601, 9128?\nAnswer: 13439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 6850187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 2 - ((-2 - -4) + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -10*f**2 + 41*f - 34. Give m(6).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 - 2*b**2 - 3*b - 4. Let r(l) = 6*l**2 - l**3 + 4 - l - 5*l**2 + 7*l**2 + 1. Let y be r(8). Is t(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15336 divided by 24.\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oevovhmohaeo. What is prob of picking 2 o, 1 v, and 1 e?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (5 + -5*(sqrt(75) - ((sqrt(75) - (1 + sqrt(75)) - sqrt(75)) + -5))**2)*3 + -5 + 0.\nAnswer: -5026 - 1800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p\/(p**(-5\/4)\/p)))\/p)\/p)**(-10) assuming p is positive.\nAnswer: p**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 - (5 - 0 - 2). Let b(f) be the second derivative of -1\/20*f**5 + 0 - 1\/12*f**4 - f + 0*f**3 + d*f**2. Factor b(r).\nAnswer: -r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(80)*1 + -5 + sqrt(80)).\nAnswer: -10 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j*(j*j**(-15))\/j)**(-2\/49))**(13\/7))**(18\/13) assuming j is positive.\nAnswer: j**(468\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 13 = 4*v - 57, 0 = -3*s + 12. Let f(c) = c**2 - 9*c + 11. Let o be f(v). Calculate the greatest common factor of o and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -1014*q - 3306. Determine n(-3).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.14, 5, -0.1, -5, -1 in ascending order.\nAnswer: -5, -1, -0.1, 0.14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - 9\/6)*-2. Suppose 11 - 5 = w*r. Let m(b) = b**r + 3*b - 2*b**3 + 2*b**2 - 6*b**2. Let t(s) = -3*s**3 - 5*s**2 + 5*s. Calculate 10*m(c) - 6*t(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 f, and 1 t when three letters picked without replacement from gvsvofsfstsvvvvsfvf.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ifffdkjakka. Give prob of sequence jkdk.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -87*m**3*v + 803*m**3 - 14*m**2*v + 3*m**2 + 3*m*v - m + 532265*v + 2 wrt m.\nAnswer: -522*m*v + 4818*m - 28*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -272 - 35*o - 261 + 533.\nAnswer: -35*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3236.1 - 3433. Let y = 256 - 95. Let s = y + c. What is s rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/3)\/((-25)\/75)*-5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-37)\/14 + (-10)\/35.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37503091?\nAnswer: 37503091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -2442133 divided by 4?\nAnswer: -2442133\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.049 * 0.1106.\nAnswer: -0.4478194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22778?\nAnswer: 2, 7, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -0*t - 2*t + 7, -3*d + t = 2. Let j = d + 2. Find s such that -5*s**j + 7*s**5 + 4*s**3 - 6*s**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b and 1 q when four letters picked without replacement from {h: 3, b: 13, q: 4}.\nAnswer: 1144\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5889613*u**4 - 99033*u**2 - 2*u + 34.\nAnswer: 141350712*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p**(-13))*p**20\/p)\/((p*p\/((p*p*(p\/p**(-1\/4))\/p*p)\/p))\/(p*p**(-4\/9))))**(5\/7) assuming p is positive.\nAnswer: p**(5905\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -578*b - 22*b**2 + 578*b.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -9 - (22 - 27).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 3240*c**2 + c + 5. Let s(n) = -n + n**2 - 5*n**3 + 0 - n + 1. Let k be s(1). Let d be a(k). Round d to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 21112 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8248\/19 + -434. Suppose 3*p - 7 = -3*r + 5, -2*p + 2*r + 12 = 0. What is the second smallest value in 2\/3, m, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6181867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d**3 + d**4 + 625 - 3*d - 4*d**4 + 3*d**4 + d**4 - 4*d**2 - 627 to x*d**2 + p*d + h*d**3 + k*d**4 + l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 30*o**2 - 4*o + 6. Let m be h(5). What are the prime factors of (2 + m\/(-4))\/(-1)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/8?  (a) -5\/2  (b) 1\/24  (c) 2\/7  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -859\/5 - -173. Let l = 34031\/5 - 6803. Determine q so that -2*q - 12\/5 + y*q**3 + l*q**2 = 0.\nAnswer: -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 495 a factor of 5901390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -374*g - 1306. What is h(-4)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3952811394 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1124\/41 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 378856823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 717 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -74105 (base 8) to base 10.\nAnswer: -30789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 429 divided by 865826\nAnswer: 33\/66602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9205 is divided by 200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**(-13\/5)*i)\/i)\/i)\/(i**(-29)\/i) assuming i is positive.\nAnswer: i**(163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**2 + 10*k - 4. Suppose -7*b = -5*s - 2*b + 60, 0 = -s - 5*b - 6. Determine i(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bllbbbbbb. What is prob of sequence ll?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -7*z + 9. Let a(j) = 3*j - 4. Suppose 8*h - 4 = 6*h. Suppose -5 = v - t, -v - 15 = h*v - t. What is v*a(w) - 2*o(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29044 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6154722 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2285198 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 48029472 divided by -474\nAnswer: -101328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.05?  (a) -3\/5  (b) -9\/13  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -39 - 1230b171?\nAnswer: -1230b1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100212022 - -1102?\nAnswer: 100220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -35 - 231*u**2 - 31 + 6 + 17 - 16 wrt u?\nAnswer: -462*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -74, -578, -1394, -2522, -3962, -5714, -7778?\n\"Answer: -156*m**2 - 36*m + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -938\/323, 12, 1\/4.\nAnswer: -938\/323, 1\/4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -150 - -138. Let l = 682 + -688. Sort l, m, 1.\nAnswer: m, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**4\/4 - o**3 + o**2 = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153 = -3*q + 9. Suppose 16 = 2*o - q. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1917206 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 6*g - 2*g. What is the lowest common multiple of (11 + -15)\/((-2)\/g) and (4\/10)\/((-2)\/(-100))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5376304279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2824082 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -5*k - 5*d + 2060, k - 410 = d. List the prime factors of k.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2920.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 718178 + -195285461\nAnswer: -194567283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -644, -3, -4, 0 in increasing order.\nAnswer: -644, -5, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1196, -26, 0 in ascending order.\nAnswer: -1196, -26, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -3066, -1\/4, 43?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -1, 65, -5, 3 in decreasing order.\nAnswer: 65, 6, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -41*l - 45 + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16984476 - 16984476 + 16*k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.133 + -13.567. Let f = z - -14. Put -6, 2\/3, f in increasing order.\nAnswer: -6, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -6*i**2 - i. Let s(o) = o - 7. Let f be s(0). Let u(w) = 11*w**2 + 3*w. Let g(y) = f*c(y) - 3*u(y). What is the second derivative of g(q) wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 256\/9 - 52\/117. What is the tens digit of 26*11\/4 - (-14)\/h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -4, 4, -53?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 31*l + 353. Let f be r(-11). Let d(v) be the second derivative of -7\/2*v**2 - f*v + 0 + 5\/6*v**3. What is the first derivative of d(q) wrt q?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwsuwzubbububwwu. What is prob of picking 2 u and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 12*i - 9. Let o(k) = k + 3 - 3. Suppose -p - 41 = 3*r, p = r - 3*p + 31. Let w(n) = r*o(n) + x(n). What is w(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.3 and 0.349.\nAnswer: -0.4537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - 17. Which is smaller: h or -14\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 3*w**3 - 2*w**2 + 2*w + 3. Let g be u(3). Suppose -n = 3*n - g. What is the greatest common divisor of n and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the first derivative of s**4\/12 - s**3\/3 + 4*s + 4. Let v(m) be the first derivative of k(m). Find the second derivative of v(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**2 - 45*r + 45*r + 0*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-969)\/(-76) - 6\/8. Let r be 12\/16 + (-57)\/q + 22. What is the highest common factor of r and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(48) + -1 + 3)**2 - (sqrt(96) + (sqrt(96) - (sqrt(96) + (sqrt(96) + -1*sqrt(96))*2)))\/sqrt(2).\nAnswer: 12*sqrt(3) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1990357 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2520*m**2 + 7444*m - 344. Calculate r(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -752*v + 327*v - 251*v - 501*v as b*v + z and give b.\nAnswer: -1177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/66 and 53\/368238.\nAnswer: 4050618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40 + -60. Let d = v + 19. What is the nearest to 0 in d, -4, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7 - (-930)\/(-130) - (-10)\/(-104). What is the third biggest value in -5\/2, -187, i, -2\/3, -2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 121*s**2. Let c(y) = -96*y**2 + 2*y + 98. Let q(n) = -386*n**2 + 9*n + 441. Let u(i) = -9*c(i) + 2*q(i). Give u(o(m)).\nAnswer: 1346972*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1132 - -1135. Factor -2\/3*o**2 + 0*o**w + 2\/3*o**4 + 0 + 0*o.\nAnswer: 2*o**2*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d + 5. Let s be b(11). Suppose -a - 8 = -s. Let r(m) = m**2 + 8*m + 3. Is r(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 10787, 8085, 5383, 2681, -21?\n\"Answer: -2702*l + 13489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 60 + -247. Let f be (-179 - (4 - -6)) + 2. Is f greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -1\/3  (b) -1\/6  (c) 4\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 401 + -390. Suppose l*w + 1523 = 14*w - 2*q, 4*w - 2019 = 5*q. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003211316 to 6 decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from exjmmmxzxff.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence errp when four letters picked without replacement from {e: 1, r: 4, p: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 367499584076 - 80?\nAnswer: 367499583996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 81 = b. Calculate the least common multiple of b and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*j + 48*j = 35. Let q(o) = -o**2 - 10*o - 18. Let v be q(j). Let b be (20\/v)\/((-1)\/(3\/(-42))). Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h**(4\/11)*h*h)\/(h\/h**0)*((h*(h*h*h*h\/(h*h**(4\/7)*h*h))\/h)\/h)**18)**(4\/9) assuming h is positive.\nAnswer: h**(-2132\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2630 and 42.\nAnswer: -110460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9707.894 hours in seconds?\nAnswer: 34948418.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((2 - 3)*3 - -2)*-1. Sort 0.5, v, -2\/19.\nAnswer: -2\/19, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2265 + -4023. Let u = 4691 + z. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 - 12*i**2 + 2. Let n be x(12). Find the third derivative of -18 - 3*m**n - 6*m**5 + 18 wrt m.\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 102*x + 720. Let w be n(-7). Solve 5*y = -w*j + j + 10, -2*j + 9 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 - 3 - 3)*(-20*p**3 - 2*p**5 - 25*p**3 + p**4 + 35*p**3).\nAnswer: 42*p**5 - 21*p**4 + 210*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*r + 28*r = u - 665, -2*r - 1330 = -2*u. Let w = -657 + u. What is the least common multiple of w and 82?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223.6319 litres in millilitres?\nAnswer: 223631.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 509  (b) 4  (c) -811.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = c + 7127*z - 7130*z, 3 = -4*c + 3*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -83\/2 - -431\/10. What is the closest to w in 0.2, -0.1, -0.06?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-5)*(-15)\/9. Suppose q = a*g + 2, g - 3*q = -3*g - 8. Solve 0 = 5*i - 5*t - 5, -4*i - g = -2*t + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 300988?\nAnswer: 2, 47, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*y - 15*y + 8 = 8*a, -4*a = -4*y - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 0. Suppose -3*q - m = 4*m - 29, 3 = 5*q - 3*m. Let k(j) = j**2 - 3 + q*j**2 + 3*j - 3*j**2. What is k(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2.38 and -14.\nAnswer: -11.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 + 9*y**2 + 9*y + 12. Let v be u(10). Suppose -12 = -2*k - 2*g, k + v*k - g = 10. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of q*r**4 + 274*q*r**2 + 496*q - 6*r + 1 wrt r.\nAnswer: 4*q*r**3 + 548*q*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-u - 3*u + 3*u)*(-5*u - u + 4*u) - 4*u**2 + 2*u**2 + u**2 + 6007*u - 11942*u + 17*u**2 - 13*u**2 + 5976*u as q + o*u + w*u**2 and give o.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3320 (base 4) to base 5.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 24511 + -1423?\nAnswer: 23044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -3, -2.875 in descending order.\nAnswer: 21, -2.875, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d**2 + 4*d + 2. Let x(r) = -65*r**2 - 120*r - 60. Let a(m) = 30*u(m) + x(m). Let s(z) = -1138*z. Determine a(s(g)).\nAnswer: -6475220*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -44.6 - -45. Put -0.1, a, 5 in descending order.\nAnswer: 5, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2667\/(-2)*(-950)\/(-1425). Which is greater: c or -887?\nAnswer: -887","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86404*o**2\/7 - 58668314*o\/7 + 194 = 0 for o.\nAnswer: -679, 1\/43202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1245591989891.9770006 - -1245591813118. Let t = 176774 + g. Let o = -0.023 + t. What is o rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 62, -29907.\nAnswer: -29907, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/160 and (-210)\/33 - 80\/(-10).\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0144306 and -142.\nAnswer: 2.0491452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - a - 186 = 0, 0 = -12*a + 10*a. Solve 12*l = u - 33 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b**2 - 57*b - 3. Let i be s(-9). Let j = -312 + i. Calculate the remainder when 177 is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-d + 3*d - d)*(-d - 4*d - d - 4*d - d + 3*d + (-5*d + d + 2*d)*(0 + 1 + 0) - 152*d - 62*d + 67*d) as i*d**2 + r*d + l and give i.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 194282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1871*o + 1866*o + 275 = 0. Suppose 0 = -2*n + n - 25. Let l be (o\/n + 1)\/(9\/(-30)). Solve y - 9 = l*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 - 2. Let i(j) = 8*j**2 + 2*j - 27. Let n(w) = 38*w**2 + 11*w - 135. Let m(b) = -11*i(b) + 2*n(b). Let k = -6 + 4. What is k*m(a) - 27*s(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11113.46 times 209?\nAnswer: 2322713.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -17*p**5\/30 - 99*p**2. Let c(i) = -2*i + 107. Calculate c(f(m)).\nAnswer: 68*m**2 + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q**3 + 4*q**2 - 4*q**2)*((-106 + 106 + 17*q)*(-q + 2 - 2) + 3*q**2 + 2*q**2 - 6*q**2).\nAnswer: 54*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -5. Let r(z) = -z**3 - 4*z**2 + 3. Let u be r(-4). Let m(k) = 2*k + k**3 + k**3 - 3 - k**u - 2*k**2. Give m(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + -566006e?\nAnswer: -5660069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -845, -1701, -2555, -3401, -4233, -5045, -5831?\nAnswer: -6585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13386 + 13378. Let x = 7.3 + -1.3. Let s = x + -11. What is the second biggest value in n, -2\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3997*f**2 - 3997*f**2 + f**4 + 7989*f**2 - 14 in the form j*f**2 + r*f**4 + n*f + y + x*f**3 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 3*g**2 + 12*g - 2. Let u(j) = -j**2 - j + 1. Let p(l) = k(l) + 4*u(l). Calculate p(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -36 + 54. Suppose 2*n + 14 = -2*j, -2*n - 7*j + 2*j = 5. Calculate the common denominator of (138\/(-30))\/(l\/n) and 89\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 15 + 6b1a?\nAnswer: 6b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 141983877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.193 - -0.195. Let p = -0.236 - c. What is p rounded to 2 decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of w**3 + 5*w**2\/2 + 2*w + 22. Determine z(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 2 + 10 = 0. Is (10\/n)\/((-1)\/12) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**3 + 5*t**2 - 7*t - 27. What is q(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 3*q. Let g(t) be the second derivative of t**3\/3 - 3*t + 14. Determine -6*g(b) + 5*p(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 1020 + 1013 = -2*n, 3*j - 2 = -5*n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 28*w**3 + 194*w**2 - 8*w + 8. Calculate f(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 143 (base 5) to base 12\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (8\/(-8))\/((-2541)\/121). Let o = -2 - -3. Which is greater: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccttcc. Give prob of sequence cct.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 134.7  (b) -1\/4  (c) -5\/7  (d) -4  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 734*h**3 + 201*h.\nAnswer: 4404*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 10*o + 31. Let w(v) = -5*v - 16. Let a be (-6)\/4*(16 + -14). Let x(l) = a*m(l) - 5*w(l). Find the first derivative of x(f) wrt f.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1926 take away 1?\nAnswer: -1927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffggyfxx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k**2 - 283 - 16 + 103 + 2*k to the form a*k + t + i*k**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1.8297 or 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -164, -169, -186, -221, -280, -369?\n\"Answer: -p**3 + 2*p - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 21*o - 103. Calculate u(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.058 + -0.042. Let g = w + -0.2. Which is the fourth smallest value?  (a) 4  (b) 3  (c) g  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16.7351 * 2.77\nAnswer: 46.356227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p + 8. Suppose 5*t - 51 = 2*r, -3*r - 35*t = -30*t + 89. Calculate the lowest common multiple of d(-4) and 2\/7 + (-608)\/r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/75 and -37\/102.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -17\/26 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2320.8174737 + 0.3307737. Let l = -2321 - m. Let k = l + 0.52. What is k rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 - (-1 - 3) - 6. Let g = -819 - -4097\/5. Which is the nearest to 1?  (a) g  (b) 0.2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11586 divided by 6?\nAnswer: -1931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 502*t - 4*t**2 - 502*t.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 228 and 1379820?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 127\/4 - 32. Let k = -4 - -8. What is the nearest to 1 in k, 2\/3, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/(-216))\/((-3)\/9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 34 - 6*t**3 - 45 + 82*t**2 - 25*t**4 - 18 - 351*t**4 wrt t?\nAnswer: -9024*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 196736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 19921576 = 19921575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w - 2. Let a = -30 - -32. Calculate r(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/(-64))\/(24\/192).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + 0 - 3*i + 7)*(-24*i + 11*i - 13*i - 1 + 1 - 5*i + i + i - 4*i + (i - 1 + 1)*(2 + 2 - 2) - 2 + 2 + i).\nAnswer: 30*i**2 - 210*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -11  (b) 2  (c) 1\/8  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 28b80 - -4cc?\nAnswer: 2926c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1674*i**2*y**2 - 536830*i**2*y - 3772*i*y**2 - 179*i*y wrt y.\nAnswer: 3348*i**2 - 7544*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2 > -670.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 8)\/((-3)\/(-12)). Suppose -2*g = 8 - h. Suppose 5*i - 30 + 10 = 0. What is the smallest common multiple of g and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1074?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 66579*o - 66590*o. What is the second smallest value in o, 8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182*u + 945 = 371*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1480 and 489140.\nAnswer: 978280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3)\/(-1) + -8)*-1. Suppose -3*y + 2*y - a = 0. Sort -0.3, y, 1 in descending order.\nAnswer: 1, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ukzckkukkkukcckz. What is prob of picking 3 u?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, z: 2, p: 4, x: 2}. Give prob of picking 2 w and 1 z.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 501*t**2 - 501*t**2 + 7151*t**3.\nAnswer: 7151*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (15436756\/(-8))\/((-138)\/12 - -11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -8*c + 12*c + 2152, -2690 = 5*f + 2*c. What is the third biggest value in f, -6, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 6035 = q, 3031 = -u - u + 5*q. Let s = -732 - u. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -222663012.6282 - 11.\nAnswer: -222663023.6282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 18 = -2*u. Suppose -g = -5*h - 1120, g + u*h - 641 - 458 = 0. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) 5  (b) 1.5  (c) 7.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 156\/(1 + -14) + 8. Let k(w) = -2*w + 2. Let b be k(4). Put h, 5, b, 3 in ascending order.\nAnswer: b, h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -4*r + 3. Let x be j(3). Let q be (-29)\/x - 6\/27. Determine o, given that 0 + 8*o**q - 4*o**2 - 16\/3*o**4 + 2\/3*o = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 1912 + 857. Suppose -5*o + g - z = 0, 0 = 2*o - 3*o + g - 183. Let c = o + 259. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -83\/425, 20\/9, -7, 0?\nAnswer: -83\/425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 86 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 11:14 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 2*w**2 + 4. Let z be h(-3). Suppose -2*o + 4 = -0*o. Calculate the greatest common divisor of o and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001087015769 rounded to 7 decimal places?\nAnswer: 0.0001087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7966 or -7970?\nAnswer: -7970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -1. Let v(g) be the first derivative of -3*g**2\/2 + g + 4. Let c(b) = 3*b - 1. Let r(s) = l*c(s) - 4*v(s). Differentiate r(o) with respect to o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 3*g**3 - 3*g**2 + g + 2. Suppose -4*y - 3*j = -13 - 47, 2*y - 5*j - 30 = 0. Calculate the remainder when t(3) is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -1 + 3. Let m be (-4)\/(16\/(-20)) + -3. Let k be -1*3 + 8\/m. Solve t*v = 3 - k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.32 or 9551?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = 8*d + 185, -2*w + 2*d - 62 - 28 + 16 = 0 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 92 and 5612.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes before 11:28 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 3 + 3*sqrt(125))**2*-4 - ((sqrt(125)*-2 + 1 + -2)*-1)**2.\nAnswer: -5197 - 860*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.413285mm to nanometers.\nAnswer: 413285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m\/(m\/(((((m\/(m*m\/m**(1\/6)))\/m*m)\/m)\/m)\/m)))\/m)\/(m*m**(-6)\/m*m*m*m*m))\/(m**(2\/5))**(2\/49) assuming m is positive.\nAnswer: m**(-2719\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 98.872 + 0.128. Let z = -99 + c. Which is smaller: -8\/19 or z?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -3*v**3 + 263*v**2 - 361*v - 5993. Give q(86).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22277 is divided by 7206.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/((-13)\/((-169)\/6)))\/((-23)\/(-46))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -170, -4, -12, 4.\nAnswer: -170, -12, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 679.6243 rounded to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10648*j + 11 + 1 = -10636*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 + 3*o**3)*(5 + 0 + 5)*(-4*o + o + 2*o) to x*o**2 + n*o + f + i*o**3 + m*o**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1101001 + 10?\nAnswer: -1100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -805.9096 + -0.0904. Let c = k - -812.86. Let j = c + 0.14. Is j bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i**(5\/6)*i))\/((i*i**(-5\/7))\/i*i))\/(i*i*(i\/(i\/i**(-10)*i))\/i*i*i**4))**(-17\/3) assuming i is positive.\nAnswer: i**(-2771\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*k + 2*k - 2*k**2 + (k + 3*k + k)*(1 - 1 - k) - 5*k**2 + 3*k**2 + 0*k**2 + (-4*k + 3*k + 5*k)*(-2*k - 3 + 3) - 2*k**2 - 5*k**2 + 3*k**2 + 2.\nAnswer: -21*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -2*o - 14, -5*m - 4*o + 5*o = -79. What is the remainder when 61 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 362905.1l in millilitres?\nAnswer: 362905100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 5:03 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/11*c**2 + 36\/11 + 2*c.\nAnswer: 2*(c + 2)*(c + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2*d**2 - d + 2. Let q(l) = l + 3. Let j(a) = -a**2 + 2*a + 7. Let h be j(5). Let v be q(h). Let x be 33\/(-15) - 1\/v. Determine k(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -20583, -41178, -61785, -82410, -103059, -123738?\n\"Answer: -d**3 - 20588*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 88997?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of -j**5\/5 + 145*j**3\/3 - j**2\/2 + 89*j + 5. Find the second derivative of p(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 24500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aafsafaeg. Give prob of picking 1 s and 1 a.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 619, 515, 185, -485, -1609, -3301?\nAnswer: -5675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 125 minutes after 10:29 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 963480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 3*sqrt(567)*3 + -4 + (-5 + sqrt(567) + 2)*6)**2.\nAnswer: -4860*sqrt(7) + 127899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = 5*b + 56 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-19 - 1)*((-6)\/4 - -5). Let q = -67 - k. Solve 3*s = -4*i + 3, -3*s - q*i = -2*i - 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f + 11*f = -6. Suppose f*t = -4*t + 126. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36, 3, 62, 153, 288?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/8  (b) -234  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 11817, 11934, 12151, 12468, 12885?\n\"Answer: 50*y**2 - 33*y + 11800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4412939291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 199916.8*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13997697*m + 5177001?\nAnswer: 13997697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26\/52 + 7\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88286884, -176573767, -264860650?\nAnswer: -353147533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-15 - -6) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6.9655 * 22\nAnswer: 153.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 36*o + 863. Give z(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32011 (base 7) to base 14.\nAnswer: 2c41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 + 99\/(-18))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 482.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 99523 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: Put 9270, -7, -33, -0.3 in increasing order.\nAnswer: -33, -7, -0.3, 9270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 539919 divided by 9.\nAnswer: 59991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 265.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -907*p**3 + 730*p - 168*p - 199*p - 180*p - 183*p.\nAnswer: -907*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 609, 1172, 1733, 2292, 2849, 3404, 3957?\nAnswer: 4508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 AM and 7:54 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -4311214, -4311212, -4311210, -4311208?\n\"Answer: 2*v - 4311216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 64799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -833 - -15?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32220 and 10867806?\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 AM and 3:53 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 32, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + 2 - 0\/(-1). Suppose 2*c - 5*c + 5*k = 4, 0 = 5*k - 10. Solve 4*s - 18 = c*r, r - 5*r - 6 = o*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -1. Suppose f = -0*f - 2. Let l(i) = -4*i**2 + 3. Let k(j) = f*u(j) - l(j). Find the first derivative of k(w) wrt w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 33 + -38?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 3*i - 2*i + 44, 3*i = -5*g + 88. Let b(v) = 4*v**2 - 3*v - 2. Let w be b(-2). Let t = 120 + w. Calculate the greatest common factor of g and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmlm when four letters picked without replacement from {m: 7, l: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 570843 is divided by 1340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + 4*b + b)*(0 - 4 - 3) + b + 0*b - 3*b - 2*b - 2*b + 3*b + (5 - 5 - 1)*(2*b + b - 5*b) + 3*b + 1 - 1.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.02 or 0.1269?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43676369 is divided by 1490.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 - -77*(-3)\/45) + 3. What is the second smallest value in a, -4, 1.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1352?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 138.416273 to 2 dps.\nAnswer: 138.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u + 3*u - 2*u)*(27*u + 8*u - 7*u)*(3 + 7 - 1).\nAnswer: -504*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1e62c0 (base 15) in base 8?\nAnswer: -5534155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*g - 27 + 27)*(-2*g - 1 + 1).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69269.8 weeks to microseconds.\nAnswer: 41894375040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a**5 + a**5 - a**5)*(-22 - 8 - 19).\nAnswer: -196*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1571613 is divided by 114.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o**2 - 3*o - 6. Let v(t) = -1. Determine -q(f) + 6*v(f).\nAnswer: -2*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m + 11*m - 6*m = 253 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(272) - ((sqrt(17) - 2*sqrt(425)) + sqrt(17)) - (1*(sqrt(170) + sqrt(170)*-3))\/sqrt(10))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -754  (b) -83  (c) -4  (d) 8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 4*l**3 + 6)*(-4 + 5 - 4)*(-151*l + 21198 - 21198) in the form g*l**3 + b*l + z*l**2 + y + x*l**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 116704 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 7*s - 142. Let c = 76 - s. Solve -3 = 4*r + c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9\/(-1 + 2)*17. Let y(h) = -2*h**2 + 114*h - 321. Let g be y(51). Let o = g - v. What are the prime factors of o?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1114169 or -7799186\/7?\nAnswer: -7799186\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = 5*r + 69 - 42 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h - 11. Let g be p(13). Solve -3\/2 + 1\/2*s**g + s = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in 3, 5, 1, 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 25*u - 11. Let t(v) = 25*v - 12. Let m(q) = -5*s(q) + 4*t(q). Let a be m(4). What are the prime factors of 12\/18*a\/(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 56*d**2 - 46*d**2 + 8 - 17*d**2 as x*d**2 + t*d + h and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = 4*f - 1 - 34. Sort 0, -28, 5, f, -1 in increasing order.\nAnswer: -28, -1, 0, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 60631338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5270.9 - 5271. Which is the nearest to o?  (a) 3  (b) 1\/4  (c) -285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3347810 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, p: 4, s: 2, o: 9}. What is prob of sequence sp?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9)\/(-18)*(-1 - 133). Let t be (-1 - c)*1\/3. Suppose 0 = 2*y - 2 - t. What is the remainder when 35 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 13 = -7. Suppose 2*r - 32 = -k. Suppose -2*m = 2*j - 50, 0*m + m = -2*j + 46. What is the highest common factor of j and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lbb when three letters picked without replacement from {e: 2, h: 1, b: 2, c: 1, l: 2, x: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 - 2*g + 6. Let v(w) = -w**2 - 2*w + 5. Calculate 4*m(i) - 3*v(i).\nAnswer: -i**2 - 2*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -13. Suppose 4*b = -3*m + 9 - 1, t = 3*m. Find the second derivative of -3*l**2 + 2*l + 4*l**b + 0*l**2 - 6*l wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 3*y - 8. Let d = 4 - 1. Let z(r) = -6*r + 7. Let g(o) = 5*o - 7. Let f(t) = d*g(t) + 2*z(t). Let v(l) = -7*f(l) + 6*x(l). Determine v(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 4 = p. Let c = -5.6 - -6. What is the closest to 1 in c, p, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 + 3*a**2 + 17*a - 39. Let l be v(2). Let b(p) = 25*p - 15. Let x be b(6). Calculate the highest common divisor of x and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 8. Let r = 1 - f. Let q(l) = l**2 - 6*l - 5. Let y be q(r). Which is the closest to y?  (a) -0.4  (b) -0.5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-300)\/90*1\/(91\/21)\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 3*r**2 - 5*r. Let d(h) = -h**2 - 14*h. Give -d(m) - i(m).\nAnswer: -2*m**2 + 19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10 + 343 + 75*s**3 - 23*s**3 + 2*s**4 - 25*s**3 - 26*s**3 to the form d*s + b*s**2 + j + n*s**4 + y*s**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1659116 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 2*a = -3 - 3, -2*j + 4*a = -2. Let w(u) be the third derivative of 7*u**5\/60 + u**4\/24 - u**2. What is w(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 70bb418 - -7?\nAnswer: 70bb420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -299 + -351a?\nAnswer: -37b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -54\/56834965 and 29\/56834965.\nAnswer: 56834965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.6 + -4.6. Let i = -5093\/15 + 2382\/7. Let n = -3\/35 + i. Which is the closest to 0.1?  (a) n  (b) 2  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2385?  (a) 2  (b) 0.5  (c) -0.5  (d) 28\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*o**2*p**4 + o**2*p**2 - 32*o**2 - 13087*o*p**6 - 89 wrt p.\nAnswer: 192*o**2*p - 1570440*o*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15675, -0.4, 4, 4\/7, 0.3 in descending order.\nAnswer: 4, 4\/7, 0.3, -0.4, -15675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -63 - 5433?\nAnswer: -5506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*s + 82 - 559. Suppose -3*b = j + j - 35, 3*j - s = -5*b. Solve j = t + 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**4 + 101 - k**4 - 97)*(0 - k + 0) + (-5 + 1 + 3)*(-4*k**5 - 3*k**5 + 21*k**5).\nAnswer: -13*k**5 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10)\/55 - (-1190)\/11. Find the common denominator of 29\/6 and i\/15*(-20)\/(-66).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 77 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3983 + 2*x - 5*x - 1138.\nAnswer: -3*x - 5121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.046 + 25.046. Let t = n + -20. Let g = 9 + -14. What is the closest to -0.1 in g, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 63 - 3. Suppose p*g = 16*g + 60. What is the derivative of 82 - g - 6*m**2 + 15*m**2 - 39 wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 142, 171, 200?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9679*f + 4825*f + 4842*f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*4*(sqrt(480)\/sqrt(8) + sqrt(60)))\/(sqrt(300) + -2*-5*sqrt(300) + sqrt(300)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:41 AM and 3:50 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 76553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/17826 and 11\/18.\nAnswer: 53478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u**2. Let n be (6 - 2) + (-158)\/40. Let a(y) be the third derivative of -y**2 + 0*y**3 + 0*y**4 + 0*y + n*y**5 + 0. What is a(z(c))?\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -245 + -9?\nAnswer: -24e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-508)\/(-18) - -3) + (-4)\/18. Suppose f*y - 6279 = 8*y. What are the prime factors of y?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2406?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 3*q. Suppose 0 = 3*a, -5*a - 12 = -q*b - 4*b. Suppose 3*h - 15 = 0, 6*d - 18 = b*d - 3*h. What is the highest common divisor of 8 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/8*(-7 + 5). Which is the closest to h?  (a) -1  (b) -2\/5  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + (-2*2)\/(-2). Let r be (-35510)\/(-25) - y\/10. Let f = 7063\/5 - r. Calculate the common denominator of f and 40\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -31, -30, -31, -34, -39?\n\"Answer: -r**2 + 4*r - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l**3 + 23*l**2 + 3974*l + 43595. Give k(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-153)\/2856)\/((-3)\/(-4))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101101 (base 2) to base 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1264*m**3 + 13*m**2 + 2*m + 42?\nAnswer: -7584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-12)\/(-9) + 1\/(-2). Let p = 2 - 4. Let w = p + 1. Sort w, -1\/2, h in increasing order.\nAnswer: w, -1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -125, -953, -3207, -7601, -14849, -25665?\nAnswer: -40763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 49 = -8*a. Let p(n) = n**2 - 10*n + 15. Let w be p(a). Is (-1)\/(-6) - 7421\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of 9*j**8\/56 - j**4\/4 + j**3 - 32*j - 1. Find the third derivative of h(r) wrt r.\nAnswer: 1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.849, 59, -0.1 in decreasing order.\nAnswer: 59, 0.849, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 1:36 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 1656919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 660342365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35)\/14*((-51)\/25 + 2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1411330.\nAnswer: 2, 5, 107, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 0.1, 5\/4, 12, 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from haerqqxhqqhqq. Give prob of picking 1 e and 2 q.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1646 is divided by 269?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*o + 5*c + 20, -2*c = o + 2. Suppose 0 = o*l + 2, g - 11 = 4*g + 2*l. Which is smaller: g or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -5*c**2. Let z(x) = 1032*x**2. Determine t(z(o)).\nAnswer: -5325120*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p**(-2\/7)*p)\/p*p)**12)**(-40))**29 assuming p is positive.\nAnswer: p**(-69600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 146727.\nAnswer: 3, 7, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 AM and 9:03 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 2*c**3\/9 - 58676*c**2\/9 + 19558*c\/3 = 0.\nAnswer: 0, 1, 29337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -79*o**2 - 45*o**2 + 4 + 3 - 7 + 125*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -47 + 92. Let r = -13 + w. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 + 96*z + 1580. Calculate the remainder when 323 is divided by r(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 8, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23\/69*(-1365)\/(-130).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-132)\/(-16)*16\/(-6). Let p be 2 - 2 - (-78)\/k. Let j = p - -133\/22. What is the common denominator of -95\/22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 8 - (-4 + 2 - -8 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1366.64 + 1389. Let g = -22 + o. Let i = g - 0.36000035. Round i to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 1126*z = 1123*z - 6, -5*n = -4*z - 53 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 469 divided by 67?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence grg when three letters picked without replacement from {r: 4, t: 1, g: 5, w: 1}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 19252, 19262, 19280, 19306, 19340?\n\"Answer: 4*n**2 - 2*n + 19250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -66*t - 88*t**3 + 66*t - 2*t**2 - 2*t**3 + 2*t**2 - 4*t**3 + 2*t**3 + 3*t**3 + 2*t**3 + 0*t**3 + 0*t**3 + (2*t**2 + 2*t**2 - 2*t**2)*(2*t - 1 + 1).\nAnswer: -83*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14308 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/9236 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -0.03  (b) 3  (c) -3  (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(304) + -4 + sqrt(304))**2 + (sqrt(475)*-1 + -1)**2.\nAnswer: -22*sqrt(19) + 1696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -3\/8, -3\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from asxxdjajazdjaajsaaa. Give prob of picking 1 j, 2 s, and 1 d.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 121569990 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 7 + 8. Let j be -64 + 6\/(d + 0). Is 11 a factor of (1 - 1) + j\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 2 - 2, 2*v - 45 = h. What is the lowest common multiple of 22 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -36, 0, -5, 54 in decreasing order.\nAnswer: 54, 2, 0, -4, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 5*q - 15. Suppose 19*d + 10 = 24*d. Suppose 45 = 3*n + 2*w, d*w + 10 = 3*n - 35. What is the tens digit of p(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5473864 or -5473867?\nAnswer: -5473864","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/558)\/((-6016)\/(-54144)).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -837*g**2 - 14*g + 14. Let y(h) = 279*h**2 + 4*h - 4. What is 2*b(u) + 7*y(u)?\nAnswer: 279*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of -1\/18*x**4 - 1\/60*x**5 + 1\/2016*x**8 + 0*x**3 + 1\/210*x**7 + 0 + 0*x - 166*x**2 + 7\/720*x**6. Let c(m) = 0. What is m?\nAnswer: -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of 0 - 6*r - 3\/2*r**2 - 4\/3*r**3. Give b(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -334836, -669674, -1004512?\n\"Answer: -334838*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 21, 388\/3 in descending order.\nAnswer: 388\/3, 21, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d**2 - 4. Let n(a) = a**2 + 1. Let l be 25\/10 + 1\/(-2). Let o be -5*l\/(-2) + -1. Suppose i = -3*i - o. What is i*c(g) - 4*n(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -198 - -224. Suppose 3*m + 4*f = -5 + g, 3*f - 9 = 0. Calculate the least common multiple of m and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1463977568 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 4 - 34*h + 18*h + 13.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1222011 (base 3) to base 5\nAnswer: 21220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9717 is divided by 135.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.06?  (a) 3  (b) -22\/75  (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*(u*u**(1\/8))\/u*u*u\/u**4)\/((u*u**(-1\/9))\/(u*u**8)) assuming u is positive.\nAnswer: u**(521\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (10\/5)\/((-4)\/(-56)). Suppose 4*j = -k + 112. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 432.45261s to hours.\nAnswer: 0.120125725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50 and 850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j - j + 11. Let n = -24 - -30. Let b(z) = 15*z**3 - 7 + 0*z**3 + 9*z**2 - 2*z**3. Let w(x) = -7*x**3 - 5*x**2 + 4. Calculate j*w(u) + n*b(u).\nAnswer: u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, 0, -40, 3, -1, -4262.\nAnswer: -4262, -40, -3, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8621.\nAnswer: 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2620505 and 27715.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 3 - 6)*(126*v - 99*v - 36*v - 7).\nAnswer: -9*v - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000678 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2247 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.97704 - 19.25195. Let h = t + 17.1441. Let y = h + -0.87. What is y rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3989497850 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 5*y = -6*y + 16568. What is the thousands 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 4:26 AM and 10:21 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 35 - 35. Let n = -165 - -165.4. What is the nearest to -2 in -3, n, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/18*1\/(-2). Suppose 5*h = 3*u + 19, -6*u + 2 = 4*h - 4*u. Suppose -7 + 1 = -2*g, h*f + 2*g = 2. Which is the closest to -1\/4?  (a) 2\/7  (b) f  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31141 is divided by 970.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7858201.\nAnswer: 13, 604477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 25, 34, 55, 94, 157, 250, 379?\n\"Answer: y**3 + 2*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 21 + ((-84)\/(-7) - 25). Let t(l) = -6*l + 11. Calculate t(w).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 - (-3 + -1 + 4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*r = -69*r - 560. Calculate the smallest common multiple of 20 and r.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 33*u - 29*u - j, u - 2*j = 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**3 + 5*s**3 + 0*s**3 + (1 - 1 + 2*s**2)*(s - 2 + 2) - s + s + s**3)*(-289 - 21 - 41).\nAnswer: -1404*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/10)*c)\/(c\/(c**(-5)*c*c))*c**2*c**(-5)*(c\/(c*c\/(c*c\/((c\/(c*c*c**(-1)))\/c))*c))**(1\/28)\/((c\/(c*c*(c**(1\/2)*c)\/c*c))\/c**5) assuming c is positive.\nAnswer: c**(229\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 6:20 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 439*w + 1301. Is o(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 + -6. Let i be (12\/10)\/(1\/5). Let m be (15\/i)\/(1\/2). Put m, c, -4 in decreasing order.\nAnswer: m, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 70.2 + -70. Which is the third smallest value?  (a) 1\/11  (b) -0.3  (c) -2\/11  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61 (base 7) to base 4.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/4)\/(1816\/(-304) - -6) - -8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 1:22 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) -1  (b) 3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - -2762?\nAnswer: 2762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 386764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*v**3 - 3*v**2 - 2 + 0*v**2 + v**3 to the form k*v + t*v**2 + h*v**3 + c and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0*s - 3 = 0. Suppose m - 7 = -2*n, -s*m + 4*m - n = 13. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.6  (b) -0.1  (c) 0.46  (d) -4  (e) -6\/41  (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5653*c*l**2 + 135*c*l + 82166*c - 3*l**2 + 4*l - 288 wrt l?\nAnswer: -11306*c*l + 135*c - 6*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 30*w**3 + 8*w**2 + 117*w - 9. Let y(t) = 13*t**3 + 4*t**2 + 58*t - 4. What is 3*s(j) - 7*y(j)?\nAnswer: -j**3 - 4*j**2 - 55*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add -24.0522 and -0.017.\nAnswer: -24.0692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c**2 - 205*c - 51. What is the units digit of w(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 9, d: 1, t: 2, q: 2, h: 1, v: 3}. Give prob of picking 1 h and 1 v.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11.6 - 5.2. Let z = -9.4 + s. Suppose 4*h - 12 = 0, -4*g - 3*h = -0*h - 17. What is the closest to -2 in 0, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hojodorhdddiddh. Give prob of picking 1 j, 1 r, and 1 h.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 34*v**2 + 2*v. Let a be s(1). Suppose -4 - 6 = -5*b. Suppose 2*n - a = -b*n. What is the highest common factor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - -3)*(-2)\/18*(-45)\/(-75).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, e: 6, s: 5}. Give prob of picking 2 m and 2 e.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-9232)\/(-44) + (-8)\/(-44). What is the greatest common factor of 42 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 9 = -5*d + 2*r, 3 = -4*d - 5*r. Let c be d\/(((-264)\/1960)\/(-11)). What is the greatest common factor of c and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sppph. What is prob of sequence hs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 419253921 is divided by 116.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of 3724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 924997 divided by 2\nAnswer: 924997\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.01 or 11\/180?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -102580330 rounded to the nearest 10000?\nAnswer: -102580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + 11012122202220?\nAnswer: 11012122202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2429039210.\nAnswer: 2, 5, 13, 18684917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 6*z. Let u(v) = 7*v. Let r(q) = 6*m(q) - 7*u(q). Let s(x) = 3*x. Calculate s(r(l)).\nAnswer: -39*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10227 - 523?\nAnswer: -10752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 226.3804 years to decades.\nAnswer: 22.63804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 82 + -81.9. Let t = 15 + -15.2. Which is the nearest to r?  (a) t  (b) 0.5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 749831*y - 375611*y - 374206*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 298.309 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -50 from 0.002.\nAnswer: 50.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6 - -1) + (-2)\/(-1). Put 0, -2, s, 3 in descending order.\nAnswer: 3, 0, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 12. Let d(l) = 1 + 0*l - r - 4*l. Let m(s) be the second derivative of s**4\/6 - 2*s. Give d(m(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 70552*r - 3. Let w(c) = -c**2 - 12. Give i(w(b)).\nAnswer: -70552*b**2 - 846627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o + 18. Let t(z) = 4*z + 60. Let j(r) = -10*b(r) + 3*t(r). Let k(x) = -7072*x. Calculate j(k(s)).\nAnswer: -14144*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 670612457?\nAnswer: 37, 18124661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k - 1. Calculate b(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.010736422 rounded to 4 dps?\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 394948375.\nAnswer: 5, 1327, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 6)*(17 - 17 - 4*w)*(0 + 1 + 1).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 7*d + 8. Let h be v(-6). Suppose -3*q = 4*x - 20, 3*x - q - q = -h. Let u(f) = -11*f + 5*f + 6*f + f**x. Let r(m) = -m. Calculate u(r(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q**2 + 0*q**4 - 13\/2*q + 53\/8*q**3 - 1\/8*q**5 - 12 = 0. Calculate q.\nAnswer: -6, -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l + 5. Let k be w(-3). Let q be ((-4)\/6)\/(k\/(-24)). Is (-110)\/q*20\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of 4*t**2 + 0 - 1\/12*t**4 + 0*t + 0*t**3. Let z(c) be the first derivative of -c**3\/3 - 1. Calculate j(z(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 22 + -114301?\nAnswer: -114224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/(-198)*45\/(-10)*22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = d + k, 62 = 616*d - 610*d - 4*k for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + 5 + (-2 - (-3 - -4) - -5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-42)\/16 + -1*(4 + -7).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 15, 3*k - 3*r + 2*r - 6752 = 0. Suppose -k = 11*v - 6044. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*n - 3*n - 27. Let v be (-43)\/n + (-4)\/(-18). Let t be (15\/9)\/(2\/(-6)). Put v, t, 2 in ascending order.\nAnswer: t, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 25 - 0\/(-3 + 1). Let c = n - 32. Suppose -4*z = -3*w - 3 + 12, 4*z + 5*w + 49 = 0. Which is greater: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of 2 + 0*u + 3\/2*u**2. What are the prime factors of d(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5117 or -5094?\nAnswer: -5094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -3.3. Suppose 8 = y - a, -5*y = -704*a + 700*a - 37. What is the closest to y in h, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {l: 1, o: 11, z: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from zbbbbbbbbbbzzbbb?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 54767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j**3 - 43*j**2 - 97*j - 13. Determine v(-19).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1086438 <= -1086438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 204403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -10100120 (base 3) in base 12?\nAnswer: -14b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 AM and 5:24 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 AM and 10:32 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 487521 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of (-7 - (-20 - -9)) + 78*21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 367 + -359. Suppose c*p - 7*p = -3*p. Let h(f) = -f**3 - f + 38. Calculate h(p).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, -55, -134, -261, -442, -683, -990?\nAnswer: -1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 70 and 13650.\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of -5*h**4\/12 - h. Let r(d) be the first derivative of d**3\/3 + 157. Calculate r(f(o)).\nAnswer: 25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 693?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.7 - 11.3. Let v = b + 15. Let a = -1.5 + 1. Sort v, a, -0.2 in ascending order.\nAnswer: a, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3290, -3321, -3414, -3599, -3906, -4365?\nAnswer: -5006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1491, 1563, 1635, 1707, 1779?\nAnswer: 1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 AM and 12:18 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 371623*c**5 + 9*c**3 - 26661450*c wrt c.\nAnswer: 7432460*c**3 + 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 15)*(0 - 2 + 0)*(0 - 2 - 2)*(4*p - 783*p**2 - 4*p + 174*p**2).\nAnswer: 58464*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -28.82 + 215?\nAnswer: 186.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2 + 8. Let q = 36 - 39. Let t be b(q). Let s = 6 + -3. Solve -t + 2 = -s*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 24 + 3*w - 24. Is f(13) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -108  (c) -0.053  (d) 26\/9  (e) 3  (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 1313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-3\/2)*h\/(h\/(h\/h**(-2\/19))))**(6\/17))**(3\/37) assuming h is positive.\nAnswer: h**(-135\/11951)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 AM and 11:38 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 138*n + 49. Is b(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 4*c - 37. Let l(m) = -m + 9. Let z(s) = 2*f(s) + 9*l(s). Let t be z(8). What are the prime factors of (-10)\/10 + (23 - t)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 5\/937, 0.49, -1\/2?\nAnswer: 5\/937","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/6)\/(3\/12).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t - 1. Let w = 8886 + -8869. What is k(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 8:36 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/11000 and 129\/11242?\nAnswer: 5621000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0012483788622 to 5 dps.\nAnswer: -0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x + 35 = -21. What is the second derivative of -19*s + x*s + 5*s + 31*s**3 - 22*s wrt s?\nAnswer: 186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 267*n = -516*n + 117*n - 2237 - 5755 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 73 = 3*g, 0 = g - 2*g + 4*l + 1. What is the highest common factor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 6 - 26*q - 4 - 10*q**2 + 19*q.\nAnswer: -10*q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 - -1) + 6\/(-9). Let d = 3960247\/47945 - -2\/9589. Let v = 83 - d. What is the nearest to 1 in v, a, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.78, 5.3, 9?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 + (-2 + 2 - -21). Suppose -15 = 5*p, 4*i + 5*p + x = 187. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -4*s + 2*v + 3098804, 0 = -s + v + 774704. What is s rounded to the nearest ten thousand?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*v + 4*v - 3*v**2 - v + 0*v**2 to q*v**2 + k + a*v and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 - ((18 - -23) + -114).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b + 1. Let j(n) = 13*n**2 - 4*n + 4. Let k(y) = -j(y) + 4*l(y). Let x be (-1)\/(2*1\/(-46)). Let u(a) = 25*a**2 + a - x*a**2 - a. Give k(u(g)).\nAnswer: -52*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10385767 + 6896146895\/664. Let b = 19\/83 + s. Calculate the common denominator of b and (-142)\/36 - 0\/1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -20040  (b) 0  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c\/(c\/(c*c**(2\/53)*c))*c*(c\/(c*c\/(c*c\/(c*(c*c**(-19)\/c)\/c))))\/c assuming c is positive.\nAnswer: c**(1221\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7313 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*s + 34*s = 80. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/15  (b) -4  (c) 2  (d) 25  (e) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 380870878 and 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (104\/(-8)*(-120)\/260)\/(6\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 363523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 582.2753 + -575.075378. Let z = 7.2 - m. Round z to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -6558, -6619, -6678, -6735, -6790, -6843?\n\"Answer: r**2 - 64*r - 6495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 150 and 1365?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/54 and -18\/7.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40 and 6991384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/12)\/((22\/(-55))\/((-8)\/(-25))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(6 - 2 - 2). Let c = 10 + p. Let a = c - 4. Calculate the lowest common multiple of 10 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 5*p**2 - 41*p - 18. Let n be f(10). Suppose -79*r + 1176 = -n*r. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 8) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*x + a + 17, -5*x - 14*a = -11*a + 35 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1*(11 + -3 + -2 - 5). Which is greater: u or 257\/17?\nAnswer: 257\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p\/p**(-1\/7))*p*p*p*p**(-4\/7))**(6\/11))**(1\/14))**(21\/2) assuming p is positive.\nAnswer: p**(72\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 123 - 104. Let x = 23 - r. What is the lowest common multiple of x and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 37.14082km?\nAnswer: 3714082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5.3 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.01, 4, 0.03, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 4*u - 8, -5*g = 2*u - 4*u - 84. Let l(c) = -8 + 15 + g + 16 - 277*c. Is l(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4284 is divided by 491.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -853 + 851. Sort -5, 24, 2\/7, 2, z in descending order.\nAnswer: 24, 2, 2\/7, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 28 = -4*q + 2*q, q = -d - 7. Let x = -3 - d. Let z(l) = -l**2 + 1. Let g(h) = -1 - 9*h**2 - 6*h**2 + 2*h**2 + 18*h**2 - h. Give x*z(b) + g(b).\nAnswer: 2*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes after 1:57 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122d (base 15) to base 5.\nAnswer: 110433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 3 g when four letters picked without replacement from {k: 1, c: 1, g: 17}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s*s\/s**3*s*s\/(s*s\/(s*s\/(s\/((s**(-3)\/s)\/s))))*(s**(-1))**(4\/7)*(((s\/(s*s*s\/(s\/(s\/s**1))))\/s)**(-1\/19))**(-1\/13) assuming s is positive.\nAnswer: s**(-7918\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 - 4*u**2 + 1. Let h be i(-4). Suppose 3*a + 2 = 5. Let x = a + h. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -5, 15, 4\/3, 2\/9?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 4*b**2 - 5*b + 3. Suppose 19 = 3*u + 4. Let t be h(u). Let r be (t\/10)\/(24\/(-20)). What is the nearest to r in 2\/3, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 572 = 13*x. Let c be (x\/660)\/(1\/2). What is t in 0*t + 0 - 8\/15*t**3 + 2\/5*t**2 + c*t**4 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 4*u**3 - 2*u**3 - 11 - 2*u**2 + 20*u + 6 to j*u + h + f*u**3 + n*u**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 719911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -33 - -38. Let x be 1\/((-1)\/(l + -7)). Factor -1\/3*b**4 + 0 - 1\/3*b**x + 0*b + 2\/3*b**3.\nAnswer: -b**2*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 19\/7 + (-8)\/(-28). Suppose 3*f + x*v + v = 23, 3*f = -5*v + 25. Let r be (0 - -5)*1\/f. Solve 2*c - r = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 384 + -404. Sort -3, q, 2, 4.\nAnswer: q, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25777, -51555, -77333, -103111, -128889, -154667?\nAnswer: -180445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(52)*4.\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -5*(-6)\/75 - (-27)\/(-5). Let l(u) = 14*u**2 - 25. Let n(p) = 29*p**2 - 50. Let b(s) = a*l(s) + 2*n(s). Differentiate b(z) with respect to z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -323, -875, -1803, -3113, -4811, -6903?\n\"Answer: -z**3 - 182*z**2 + z - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -1\/4  (b) -0.02  (c) -2\/9  (d) 2\/3  (e) 0  (f) 1  (g) 321725\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = -7*m + 10*m. Suppose -3*k - 5 = 5*i - 5*k, -2*i + m = 5*k. Suppose 5*y - 4*a - 45 = 0, -y + 0*y + a = -10. Sort i, y, -3 in ascending order.\nAnswer: -3, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 - 2*y - 14. Let s be w(0). Let h be 3 + (-7 - -2) + (-24)\/s. Suppose r - 2 = 2*g, 5*r + 14 + 12 = -2*g. Sort 0.4, h, g.\nAnswer: g, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24882344 divided by -4.\nAnswer: -6220586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25 - 35) + -1 + -18 + 4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 556078841891\/99758704311 - -54\/20043943. Let i = 2\/711 - l. Find the common denominator of i and -21\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -4, -1, 37.\nAnswer: -15, -4, -1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.899 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -85*t + 4. Let d(k) = -86*k + 5. Determine 4*d(y) - 5*o(y).\nAnswer: 81*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 8:28 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 12386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j - j + 7*j)*(-2*j**4 - 5*j**4 + 2*j**4) + (5*j**3 - 4*j**3 + 0*j**3)*(0*j**2 + 4*j**2 - 6*j**2).\nAnswer: -27*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 6*m = -3*a + 4*a, a - m = -3*m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3714*d + 3723*d = -279 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16)\/140 - 28\/(-70). Let u = 0 - 0.04. Let v be (-4)\/(-14) - 4\/(-14). What is the third biggest value in t, u, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -1343*d**2 + d. Let f(s) = 5*s. Give f(p(u)).\nAnswer: -6715*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + 1. Suppose -5*l - p = -2*n - 0*n, -4*n + 4*l = -16. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -352892 divided by 6?\nAnswer: -176446\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13431625 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 2*l - 44 = 0, -1 = -3*n - l + 27. Suppose 5*j = -20*j + 250. What is the greatest common factor of j and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-5\/11)*p*p**(-37))\/(p**(-1\/6)\/p**(5\/6)) assuming p is positive.\nAnswer: p**(-369\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.02?  (a) 11  (b) -9.8  (c) -7\/6  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - d - 2*d - 6, -4*n - d = -13. Solve 2*f = -f + n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 118*w**2\/5 - 352*w\/5 - 6\/5.\nAnswer: 2*(w - 3)*(59*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-2\/5))**(-2\/31)*n*n\/(n**(2\/7)\/n)*n**(-4)\/n assuming n is positive.\nAnswer: n**(-2522\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 21774517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 201455 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/14*(-8)\/(-6). Let s = 0.41 + -0.91. Which is the nearest to 0.2?  (a) -5  (b) s  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 157077  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 plus 0.1497689?\nAnswer: 2.1497689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 182*n - 6351 + 1073 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 47822 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1130 - 136 = -55*o - 87*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 106963 or 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.13, 116, -5, 1, 4 in decreasing order.\nAnswer: 116, 4, 1, -0.13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 280 and 98320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38632 is divided by 141?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + sqrt(130)\/(2*sqrt(10) + sqrt(10)))**2 + (-1 + sqrt(13))*-3 - (((sqrt(273)*2)\/sqrt(7))\/sqrt(3))**2.\nAnswer: -233\/9 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 9 - x**2 - 1 + x + 3 + 1. Suppose -4 = 5*b - 34. Let l be j(b). Is -16 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 1:29 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: a52 (base 13) to base 5\nAnswer: 24012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -21*v + 76*v - 330 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -309570, -309569, -309568, -309567, -309566?\n\"Answer: a - 309571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -63\/32  (b) 1\/6  (c) 64\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 84 + -49. Calculate the highest common factor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m + 4*m - 3*m)*(-2*m - 3 + 3) + 144 - 144 + 48*m**2 + (-3*m**2 + 0*m + 0*m)*(1 + 0 + 1).\nAnswer: 38*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*d - 667 = 41 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17389.\nAnswer: 17389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence frr when three letters picked without replacement from fruyuryyrfrrurfyu.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of 0 + 0*n**2 + 0*n**5 + 1\/3*n**3 + 1\/30*n**6 - 5*n + 0*n**4. Find the second derivative of a(p) wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18 - 16. Suppose -4*u + u = b - 13, -3*u = h*b - 17. Solve b*o + 0*o = 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54160 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 1:40 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 832.5572 decades?\nAnswer: 8325.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10052.\nAnswer: 2, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = s + 4*j - 0*j, -s + 1 = -5*j. Let x(t) = 20. Let y(w) = 7. Let i(u) = 6*x(u) - 17*y(u). Let z(g) = g - 9. Let c(h) = s*i(h) - z(h). What is c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 100, 427, 980, 1765, 2788?\n\"Answer: l**3 + 107*l**2 - l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*n = -6*n + 5*q, -6 = 2*n + q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1 + 10.1. Let i = y + -9.8. Which is the smallest value?  (a) 0.3  (b) -5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -125 and 811.\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -54734, -109271, -163800, -218321, -272834, -327339?\n\"Answer: 4*d**2 - 54549*d - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2 from 162365759.\nAnswer: 162365761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 43*g - 6. Let p be t(2). Let u be (9\/6)\/(30\/p). Solve u*b = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 4*y = 0. Suppose y*s - 5*s = 50. Let n = s - -23. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = z - 14. What is the greatest common factor of z and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.0194 + -1193.5194. What is p rounded to the nearest ten?\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-12)*(2 + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 28\/35*(-15)\/(-2). Suppose 4*t = -c + 10 + k, 5*c = t + 17. Let r = t + 1. Solve r*j = 5*v + 7, -5*j - v = 2*v + 19 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13.05 - 13.5. Let t = 0.454 + w. Is -0.1 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-0.538776.\nAnswer: -1.077552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a**2\/2 - 11*a\/2 - 21 = 0. Calculate a.\nAnswer: -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**2 - x**2 - 14*x**2)*(-5 + 2*x + 5).\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = c - 5, a - c = 2 + 1. Suppose 24 + 7 = 4*m + 5*g, -a*g = 4. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 63\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1\/2))**(9\/7))**2\/(u\/(u*u**(2\/3)\/u)*u*u*u*u**(-1\/2)\/u*u*u)**(-17) assuming u is positive.\nAnswer: u**(2683\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1 + -0.1. Let j = n + 1. What is the second biggest value in j, 0, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 246, 221, 196?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124435 is divided by 47.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from oojjpnjnpj?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*q = -984 - 768. Let h = -217 + 361. Calculate the least common multiple of h and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44163331945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of -k**8\/30240 + k**6\/1080 + k**5\/20 - 8*k**2. Let u(m) be the third derivative of o(m). Determine g, given that u(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.38 + -0.18. What is the closest to 0 in n, 4, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-35)\/(-35))\/(((-27621)\/132)\/(-31))?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j - 4*j + 5*j - 2*j + 3*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5 + 0 = 0. Let w be (27\/15 - 2)\/k. Let v = -19 + 18.6. Which is the third smallest value?  (a) w  (b) -4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*f - 128 = -71*f + 17*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 + -8d1e?\nAnswer: -8d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/1577 and -53\/114.\nAnswer: 9462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5324) - -1*sqrt(5324))\/sqrt(4).\nAnswer: 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 38662397 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15 - 11. Let k be (1 + 14\/(-8))*w. Let h be ((-12)\/9)\/(2\/k). Solve 2*y + 8 = -4*c, 6 + 4 = -4*y - h*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4024 (base 5) in base 11?\nAnswer: -428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1563 + 776. Let a be 1 + 0 - (-31514)\/(-40). Let b = a - c. Find the common denominator of b and 45\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 79*y**2 - 14*y - 36. Is o(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 460 = d - 1278*p + 1277*p, -p = -5. What is the remainder when 940 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3741.038 - 3737. Let h = k - 2.87. Round h to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**23*h)\/(h*h*h*h**(3\/23)\/h) assuming h is positive.\nAnswer: h**(526\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16500420 is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1212318390*f**2 - 824693408*f?\nAnswer: -2424636780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000060824538 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-9)\/((-18)\/4) - 26\/(-6) and -2\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 d, and 2 j when four letters picked without replacement from djjbddbfbbfbjjnj?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.599 + -1.599. Which is the second smallest value?  (a) q  (b) 0  (c) -1\/2  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 305.0881um to millimeters.\nAnswer: 0.3050881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1205616 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71667?\nAnswer: 3, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -53 - ((-10 - 1 - ((-11 - -29) + -17)) + 6)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6438 and 25596415.\nAnswer: 153578490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q + 4. Let r = -3 + 1. Let k be j(r). Suppose k*h - 31 = 3. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = 5*j + 58318 - 58323, 6*t + 1 = j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 220021002000 (base 3) to base 5.\nAnswer: 110240144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*u - 1082 + 3140. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 293*i + 3718. Calculate r(-12).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = 2*o - 6*w + 3, 2*o + w + 9 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38 = -3*q - c, 2*q - 4*c - 142 = -172 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 102 and 22389?\nAnswer: 44778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 80 and 500?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 + 10*l**2 - 24*l + 3. Let u(z) = -3*z - 6. What is the remainder when u(-4) is divided by j(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 304405660 by -76101415.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 42*f**2 - 35. Let o(i) = -i**2 + 1. Calculate -2*n(d) - 70*o(d).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 511, 1051, 1603, 2155, 2695, 3211?\n\"Answer: -2*z**3 + 18*z**2 + 500*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 50 + -12. What is the remainder when y is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 1 = d + 2*i, -4*d - 39 = 5*i. Let b(z) be the second derivative of z**3\/3 + 9*z**2\/2 + 18*z. Give b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 5*g + 18 = 0, i - 4*g - 5 - 13 = 0. Let b be ((-2)\/(-4))\/(2\/16). Suppose -2*k = -3*o + 5*o - b, 0 = -3*o + k + i. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 9640, 19279, 28918, 38557, 48196, 57835?\n\"Answer: 9639*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(896))\/(sqrt(56)\/(sqrt(40)\/sqrt(5))).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -592 = -66*i + 13334. Suppose 0 = -2*o + d, 5*o + 4*d = -0*d + 26. What is the derivative of -i + x**2 + 224 + 0*x**o wrt x?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1555 a factor of 88084530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*o + o + o)*(-o + o + 2*o) + (-2*o + 4 - 4)*(2*o - 2*o + 2*o) to d*o + f*o**2 + j and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 4206, 9\/2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/13  (b) 0  (c) 1306611  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-270)\/40*112\/(-12)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of -44*f**3\/3 - 139*f**2\/2 + 44*f - 1. Is i(-37) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13433 (base 5) to base 16.\nAnswer: 45e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 12:05 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 a when four letters picked without replacement from aaaaaaaawaaaaawaawwa.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 44351996\/16 - (-3)\/12. Round g to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1581469194?\nAnswer: 2, 3, 71, 3712369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 984138?\nAnswer: 2, 3, 164023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/42075 and 8\/765.\nAnswer: 42075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2936 + 2969 - 5842 - 8*t to the form c + s*t and give c.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.451452 less than -2?\nAnswer: -2.451452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41, 179, 409, 731?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 175933*o**3 + 1703*o**2 - 3406*o. Let d(y) = 413*y**3 + 4*y**2 - 8*y. What is 1703*d(c) - 4*s(c)?\nAnswer: -393*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 3*g + 26, -5*f + g = -0*g - 27. Let i(n) = n**2 - 5*n - 10. Let k be i(7). Suppose -k*x - f*s + 65 + 31 = 0, x = 3*s + 24. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 890372050.\nAnswer: 2, 5, 17807441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/184 in 2, -3, -3\/5, -4\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 20 + -33022532?\nAnswer: -33022512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (47 + 52 - 8)*(-8 + 6 - 5)*(5*r - 2*r + 2*r + 3*r).\nAnswer: -5096*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 12 = -2*d, -2*d + m = -4 + 8. Let k = 483 + -465. What is the second smallest value in d, -0.2, k, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) -5  (b) 1\/3  (c) -0.037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 307 = -397. What is the highest common factor of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -67, -426, -1083, -2038, -3291, -4842, -6691?\nAnswer: -8838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -4*k + 4*f, -26 = -4*k + 5*k - 5*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121*s**2 - 16*s**2 - s - 78*s**2.\nAnswer: -215*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {w: 1, e: 2, u: 3, r: 5, g: 1, b: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2\/5 + 4\/5. What is the nearest to 1 in j, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -235*u - 523 + 4182 - 369. Solve -3*o - u = -2*p - 2*o, 2*p = -4*o - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 122 = -2*q + 323, 0 = 2*j - q - 141. What is the remainder when 411 is divided by j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l**2 - 68*l - 5. Determine t(-39).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 214*m**2 - 22176*m + 11085*m + 11091*m. Let h(v) = v**2. Calculate h(r(p)).\nAnswer: 45796*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 136, 127, 118?\n\"Answer: -9*g + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 869*k**2 + 873*k**2 - 1749*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(1*sqrt(110)*-6 + sqrt(110) - sqrt(110)))\/((-5*(sqrt(70) + sqrt(70)*-2) + sqrt(70) - sqrt(70) - sqrt(70) - sqrt(70))\/sqrt(7)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1ab + 1?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129 + 129 + 46*f**2 - 48*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 231784 and 56?\nAnswer: 231784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 3:40 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -9*j**3 + 4*j**2 - 3*j - 10. Let o be l(-4). Let r be o\/(-22) + 12\/66. Let t = 50 + r. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-801*l + 207*l - 689*l + 3*l - 5*l + 3*l + 2*l - 2*l + l + (0 - 6 + 4)*(-2*l + 4*l - 3*l) - 2*l - 2*l + 6*l + 2*l + 3*l - 7*l)*(-l**2 + 3 - 3).\nAnswer: 1279*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14\/3, 56\/11, 10, -0.5 in decreasing order.\nAnswer: 10, 56\/11, -0.5, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -57 + 86. Let h = u + 3. Suppose 0 = -3*x - 5*y + 87 + h, -2*y - 124 = -4*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 bigger than 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -399030 or -400326?\nAnswer: -400326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -160552, -160602, -160648, -160690, -160728?\nAnswer: -160762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 131689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 AM and 12:17 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + 615772?\nAnswer: 615771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 16116, 32237, 48358, 64479, 80600?\n\"Answer: 16121*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 919490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -5.0000048. Let k = 7 - 7. Let v = k - w. What is v rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n**2 - 2*n - 27. Let h be u(7). Let s = 139 + h. Solve s = -5*b + 5, b - 13 = -2*z - 2*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -31 - -162?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (11338\/(-16045))\/(14\/150). Let l be -3 + 4 + (-3210)\/3209. Let f = l + s. Calculate the common denominator of 5\/11 and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 90 = -5*z. Let v(k) = 3*k + 57. Let m be v(z). Suppose -3*o - n - 2 + m = 0, -3*o = 4*n - 4. Solve 2*y + 10 = -o*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 273.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -3  (b) -23  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 7*x**3 + 266*x**2 + 2*x - 9. Let z(u) = -15*u**3 - 542*u**2 - 4*u + 19. Determine 13*c(s) + 6*z(s).\nAnswer: s**3 + 206*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 PM and 6:44 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 36350.995001 to the nearest ten.\nAnswer: 36350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 2 - 2)*(-6*c**3 - c**3 + 3*c**3 + (3 - 2*c - 3)*(0*c**2 - c**2 + 0*c**2) + 2*c - c**3 - 2*c).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 - x**2 - 3*x - 2. Determine c(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*m - 10*m - 148 = 0. What is the second biggest value in m, -0.6, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3755682299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of h**5 + 1010*h**3 - 245*h**2 + 3*h wrt h?\nAnswer: 60*h**2 + 6060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -9. Let b = c + -3. Solve 5*n - b*r = 3*n, -4*r = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 308038941 and 84.64.\nAnswer: 308039025.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -36 divided by -4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 301892.6582\nAnswer: 301895.6582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - 4.2. Suppose -2*j + 3 = 1. Suppose -j = 5*q - 11. Which is the third biggest value?  (a) 0  (b) i  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**2 + i**2 - 11*i**3 + (0 - 1 - 1)*(-5 + 9 + 11)*(4 - 2*i**3 - 4).\nAnswer: 49*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/4 + (5 - 3). Suppose -4*b + 14 = 74. Let k be (21\/b - -1) + 1. Put k, -0.5, s in ascending order.\nAnswer: -0.5, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*w - 430 = -56*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2892 = 105*z - 102*z. Let x = -598 - z. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -27\/214 + 11483\/6206. Find the common denominator of z and -36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 8) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -2*y**2 + 5*y + 4. Let v be c(3). Sort 2, v, -3\/5 in increasing order.\nAnswer: -3\/5, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 7:50 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + 247?\nAnswer: 24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-32)\/48)\/((-4)\/18). Factor 50*q**3 + 4*q**2 + 51*q**j - 105*q**3.\nAnswer: -4*q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -184\nAnswer: -5\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 1 w when three letters picked without replacement from {w: 1, i: 4, k: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 208 + -76\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -11*o + 11. Let v = -549 - -536. Let c(t) = -5*t + 5. Give v*c(a) + 6*j(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -221*d = 354*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/7*v**4 + 5\/7*v**3 - 2\/7 + v - 9\/7*v**2.\nAnswer: -(v - 2)*(v - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 312660 and 6225?\nAnswer: 129753900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -6316, -6322, -6342, -6382, -6448?\n\"Answer: -j**3 - j**2 + 4*j - 6318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6140 + -4274. Let u = 5089 - c. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -125590 greater than -125590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ncc when three letters picked without replacement from {n: 6, c: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 25217255 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -25 or 1096\/735?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 611 + -423. Suppose -5*r + s = -82. Let f = -28 + r. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of o**6\/24 - 47*o**5\/30 + o**4\/6 - 3*o**3\/2 + 345*o**2. Find the second derivative of f(k) wrt k.\nAnswer: 30*k - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2528*i - 1261*i - 1263*i = u + 85, 60 = 3*i - 2*u for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 45580.39 millennia?\nAnswer: 45580390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000109355 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 60\/9*(-464)\/1305 and (-591)\/(-468) + 0 + -2.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -6*m + 4*m + 73, -4*m = 4*q - 68. Suppose r + 5*l = 3*r - 1424, -4*r - 2*l + 2800 = 0. Calculate the highest common factor of r and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 37276736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2275783 - 0.3.\nAnswer: -2275783.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4.4 and -249275936.2.\nAnswer: -249275940.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 463 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 - g**2 + 4*g - 3. Let v be w(2). Let o be 4\/12 - (-492)\/v. Suppose 3*r - o = -19. What are 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 tens digit of 27110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-162)\/48 - (-6)\/16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 273.1 or 4572\/11?\nAnswer: 273.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*j - 55 = 48*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 7186, 1\/3, -2, -3.\nAnswer: -3, -2, 0.2, 1\/3, 7186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*y + 963 - 907 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 608 + -727. Let r = 112 - b. Suppose 2*p + p + 108 = 5*u, 5*p - 58 = -3*u. What is the greatest common factor of u and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 + -33597.\nAnswer: -33597.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02991699098 rounded to five decimal places?\nAnswer: 0.02992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**2 + d. Let u(w) = -w**2 + 653*w + 12*w**2 - 342*w - 306*w. Suppose 0 = -t + 5*t - 24. Calculate t*l(m) - u(m).\nAnswer: -5*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/22)*k**16*(k*k**(-5))\/k**13)**(-30\/11) assuming k is positive.\nAnswer: k**(315\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l**(-8\/9)\/l)*l\/l**(-4\/7))**(-11) assuming l is positive.\nAnswer: l**(-3784\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -1. Let l = 17.95 + -2.65. Let w = -14.9 + l. Sort 1\/3, w, x.\nAnswer: x, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**0\/x)\/x)**23*(x\/((x\/(x**1\/x*x))\/x))\/((x*x\/(x*(x*x*x**5\/x)\/x))\/x)*x**(-2\/7)\/(x**1\/x)*x**(-7)\/(x*x\/((x\/(x**7*x))\/x)) assuming x is positive.\nAnswer: x**(-394\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 1\/2, -2\/3, -57.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 235 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 51436855 to the nearest 100000.\nAnswer: 51400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 41898713 to the power of 1\/2, to the nearest integer?\nAnswer: 6473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 take away -102905445636?\nAnswer: 102905445636.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228)*2*-5 + sqrt(228) - (sqrt(228) + (sqrt(228) + -2*sqrt(228) + sqrt(228) - sqrt(228))*6))\/((sqrt(36)*1)\/sqrt(3) - -1*sqrt(1728)).\nAnswer: -4*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h**3 + 16*h**2 - 13*h + 39. What is y(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) - (sqrt(180)\/sqrt(576) + sqrt(20)))\/sqrt(4).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-4)\/(-8))\/((3\/958)\/3).\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10597.063 - 10597. Which is the second smallest value?  (a) -66  (b) 0.2  (c) o  (d) -5  (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17742?\nAnswer: 2, 3, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 - (-44)\/14 - (-22)\/42. Suppose -g - 133 = 5*f - 146, -2*f - 3*g = 0. Which is the closest to -4?  (a) -1\/7  (b) i  (c) 2\/5  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2 - 123*g + 3372. Let i be j(23). Solve 66*f - 68*f = -i for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 141 - 841\/6. Suppose -x + 4*x = -3*x. Suppose q = -3*q, 4*j - 5*q = 0. Which is the closest to x?  (a) j  (b) 2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1821999\/507386 + -1\/23063. Find the common denominator of h and 6\/15 - (-479)\/(-60).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 + -11. Suppose 12 = r*o + 4*o. Suppose o*i - 148 = -4*k, 0 = -3*i - 0*i. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -87*h**3 - h**2 - 119*h - 15774 wrt h.\nAnswer: -261*h**2 - 2*h - 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 + 10*t - 7. Calculate p(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 558827 is divided by 40.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2551977407 to the nearest integer?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*(7 + 123\/(-18)). Put 488, 2, u in descending order.\nAnswer: 488, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -57854, -57861, -57874, -57893, -57918, -57949?\nAnswer: -57986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 49464 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7571 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 2*i + i - 10623, 0 = 3*i - r - 10614. List the prime factors of i.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o**2 + 38*o - 119. Suppose 12*i - 117 = 3*i. Let l(t) = t**2 + 18*t - 60. Let f(s) = i*l(s) - 6*y(s). Differentiate f(p) with respect to p.\nAnswer: 2*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3160\/(-20145))\/(4\/3)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1627685 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5*3\/9 - 1\/(-3). Suppose -4*k = k - 4*i - 6729, 5378 = 4*k + g*i. Let c = k - 954. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2927105, -2927214, -2927327, -2927444, -2927565, -2927690?\nAnswer: -2927819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 3 c when four letters picked without replacement from cccclcccccl?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1138*w = -326*w - 310*w + 12048 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -89 by 2120.\nAnswer: -89\/2120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(405)*4 + 1) - (-2*(-1*sqrt(720) - sqrt(720)) + (-4*(2 + sqrt(720)) - sqrt(720)))**2.\nAnswer: -408*sqrt(5) - 790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**2 - 8*x - 4. Suppose -2*o - o = -60. Calculate the remainder when o is divided by s(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m - 3*m = 1200. Calculate the smallest common multiple of m and -10*((-1)\/(-2) + 21\/(-14)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**10*j\/(j\/(j*j**(-3)*j*j))*(j**(2\/9)*j)\/j**(-15))**(-34) assuming j is positive.\nAnswer: j**(-8024\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 2*u - 25. Suppose u*w - 9 = 6. What is the third derivative of 0 - j**2 + 0 - w*j**4 wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -8 + (10 - 15)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**2 + w**3 - w**2 + (w**2 - w + w)*(1 + 2*w - 1) + 4*w**3 - 3*w**3 + w**3 + w**3 + 0*w + 0*w - 7 + 21056*w + w**3 + 53*w**2 - 10528*w - 10526*w.\nAnswer: 7*w**3 + 53*w**2 + 2*w - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56364634.\nAnswer: 2, 31, 909107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -12*t + 27. Determine w(-13).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 25*o + 786. Let k be g(-31). Let l(b) = 89*b + 1. Let s be l(-1). Let t = k - s. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 58*w**2 + 4*w - 28. Let j be h(9). Suppose 5*t = -p + 1165, j = 5*p + 5*t - 1119. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 539793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -556 by -4.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.69 - 1.89. Are m and 37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 87 + -69. Suppose 0 = -2*n + 3*l - 1, -n + 1 = l - 2*l. Solve -n*f + 2 = -x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (5 - 135\/18)*(-4 - -2). Solve -a + 10 + 10 = s*n, 3*a = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -26\/5, 0.1.\nAnswer: -26\/5, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4968 + 5018. Calculate the least common multiple of 43 and u.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5908*h + 5898*h - 29568*h + 5901*h + 5915*h + 5919*h.\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 + 15*l**2 - 4*l - 37. Determine m(15).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 9930000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (-3 + (-2 - 2))) + (-600 - -674)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-510))\/(((-86)\/(-1161))\/((4\/(-36))\/1)).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1583362975 and 310?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16\/3 + -89\/15. Which is the nearest to -0.04?  (a) -2  (b) v  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6360*y**2*z**2 - 3*y**2 - y*z**3 + 1611 wrt z?\nAnswer: -12720*y**2*z - 3*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*h + 184 - 8 = -89*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2652 divided by -39.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - 6) + 44 + -59.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is a in a**4\/2 + 84*a**3 - 607*a**2 + 960*a - 875\/2 = 0?\nAnswer: -175, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/14 - 1*5\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 2193661 = 2*t - 252298, -g - 4*t + 349419 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1896295383 - 1?\nAnswer: -1896295384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -15047 >= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141097 = -2*v - 3*q - 17222, -3*v + 185816 = q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-18))\/f)\/f**7 assuming f is positive.\nAnswer: f**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 - 3*o**2 - 2*o - 2. Let q be f(-2). Let g be (-12)\/21*(q + -5). What is b in 16 + 22*b**2 - 37*b + 53*b - 98*b**2 - 12*b**g + 56*b**3 = 0?\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -8291, -16442, -24479, -32402, -40211, -47906?\n\"Answer: 57*i**2 - 8322*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-138 - -34)\/1872)\/(5\/4 + -1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**3 - 5*n**2 + 3. Let f be ((-9)\/(-6))\/((-21)\/(-56)). Give v(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 - -57. Let y = -26 - -66. Let x = o - y. Solve 6 = -2*k - x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(720)*-5)**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.098448 less than 542168.36?\nAnswer: 542168.458448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 19514 and 52049160.\nAnswer: 1774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9316 + 9*l - 11*l + 9316.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 31*j**2*q*z**3 + j**2*z**2 - 152*j*q*z**4 + 5*j*q*z**2 - 46*q*z wrt z.\nAnswer: 186*j**2*q - 3648*j*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 847562 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(114)*-1*6 - sqrt(114)))\/((sqrt(216) - sqrt(216)*-1)*3).\nAnswer: 35*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 3*i**2. Let r(l) be the third derivative of 0*l - 151*l**2 + 0*l**3 - 19\/12*l**4 + 0 - 1\/30*l**5. What is r(v(t))?\nAnswer: -18*t**4 - 114*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 334851 is divided by 3992?\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80349265?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(84) + 1*sqrt(84)*-4)*1)\/(((-2*sqrt(144) - sqrt(144))*-2)\/sqrt(12)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**31\/y)\/y*y\/(y*(y*y\/(y\/y**19))\/y))\/(y**0\/(y\/y**(-1\/12))) assuming y is positive.\nAnswer: y**(133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -62.5411 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 2 = 3*d, 4*h + 0*h + 4*d = -8. What is the derivative of 14*v**2 - 6*v**2 + 12*v**h - 9 wrt v?\nAnswer: 40*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zbmrbfz. What is prob of sequence zbm?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -23209 or -23235?\nAnswer: -23209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.014433 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*35\/20*(-18)\/21. Suppose -n*y - 5*a = 53 - 420, -3*a = 5*y - 617. What is the remainder when y is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 1 - (-7 + (0 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1528 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1052 + -7347\/7. Suppose -9*b + 2*b + 2044 = 0. Calculate the common denominator of b\/(-12) - (1 - 6) and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -201736916 + 0.0441.\nAnswer: -201736915.9559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2545 - 13538.2\nAnswer: -16083.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 734*u**2 - 8*u - 7. Let g be k(-1). Suppose -g = -14*z - 175. Calculate the smallest common multiple of 72 and z.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 384480 and 19224.\nAnswer: 384480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*s**4 + 4*s**4 + 7*s**4)*(4*s - 2*s - s) + 0*s**3 + 0*s**3 + 2*s**5 + (-2*s**2 + s**3 + 2*s**2)*(6*s**2 - 5*s**2 + s**2) + 7*s**5 - 6*s**5 + 9*s**5.\nAnswer: 19*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.932 + -0.068. Let j = 59\/627 - -5\/57. What is the second biggest value in j, -2\/11, y?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 245542, 491089, 736638, 982189?\n\"Answer: j**2 + 245544*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (9\/(-3))\/((-6)\/662). Let w = 637 - y. Calculate the highest common divisor of w and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70)\/sqrt(40) + -1 + sqrt(7) + 3 + sqrt(7))*-3)**2.\nAnswer: 90*sqrt(7) + 1719\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4\/34 + 352\/(-272)*-9319?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 2*l - 3*j, l - 1 = -9*j + 8*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**7*y)\/y)\/y**(-24) assuming y is positive.\nAnswer: y**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 73079655 divided by 165?\nAnswer: 442907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = q - 2*d - 7, -d = 0. Let y = 6 + -4. Let t = 3 + y. Solve 0 = 2*z + t*u - 33, -2*z - z - q*u + 37 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 90, 0.2, -0.2, -199?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 352*f + 189. Let i be m(-4). Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 2320*k - 2315*k + 307965, 0 = 2*o - k - 123178. What are the prime factors of o?\nAnswer: 5, 109, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**3\/11 - 2942066*t**2\/11 = 0. What is t?\nAnswer: -1471033, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -7*v**2 + 2*v + 0*v + 2 + 3*v + v**3. Let i be p(6). Let t = 7 - i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 75, 148, 221, 294, 367, 440?\n\"Answer: 73*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 133 - 1388658?\nAnswer: -1388525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvuvuuvuvv?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 40d + 2?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d**(-1\/11))\/d*d**(-5))\/((d\/d**(-2\/7))\/d*d*d\/((d\/(d\/(d\/(d**(2\/13)*d))*d))\/d)) assuming d is positive.\nAnswer: d**(-8539\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: bab8cc (base 13) to base 12\nAnswer: 157b854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -j**6\/120 + j**5\/20 + 2*j**3\/3 + j**2 - 18*j. Let h(u) be the first derivative of o(u). Calculate h(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-170)\/(-1360)*3*1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-67)\/6633)\/((-1)\/(-3))?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 4*m = -32, -m - 13 = -0*s - 2*s. Suppose -c + a = -28, 2*c + 2*c - 100 = a. Solve -4*r = c - s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5347 in 5, -0.09, -1\/4, 2\/61, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-54)\/21)\/((-6)\/28). Suppose 0 = j*q + 5 - 41. Suppose 814 = 4*r + q*p, 5*r - 1020 = -4*p - p. List the prime factors of r.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1371\/45443?\nAnswer: 1371\/45443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 + 2. Suppose -75 = -3*v + 60. Let p = v + f. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 21 + 4. Let c be 1*((0 - -2) + 2). Let u = c + 1. Solve 0*w = -z*w + u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75.13101 decades in years?\nAnswer: 751.3101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + 21aa?\nAnswer: 21a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 j, and 2 f when four letters picked without replacement from {f: 2, x: 4, s: 2, h: 1, j: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*f - 2*f + 0*f)*(f**4 + 2*f**2 - 2*f**2) - 64*f**5 - 22*f**5 + 225*f**5)*(3 + 0 - 1).\nAnswer: 270*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13256 + 13256.00001718. What is c rounded to seven dps?\nAnswer: 0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29366 = 16*q - 103354. What is the thousands digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-one halves of a decade in months?\nAnswer: 3660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -43.05 - -0.05. Let b = x - -45. Sort 5\/4, -0.4, 2\/9, b in ascending order.\nAnswer: -0.4, 2\/9, 5\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*i**2 + 17*i**2 + 23*i**2 - 6*i**3 - 55*i**2.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7562768\/11 or 687524?\nAnswer: 7562768\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -b - 7. Let u(j) = -j - 10. Let g be u(-11). What is the units digit of b + -1 + 3 + g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1 + -8)*(-20)\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - -236215?\nAnswer: 236212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1484478.\nAnswer: 2, 3, 82471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-4))\/((-3)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**3 + 205*t**2 - 2200*t + 2000.\nAnswer: -5*(t - 20)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-13)\/65)\/(-28 - -19). Which is the second smallest value?  (a) -6  (b) 2\/9  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 62 + 68*r + 42*r**2 - 55*r**2 + 1 - 71*r to the form g*r**2 + k + z*r and give k.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.7, 13.6, -0.31 in increasing order.\nAnswer: -0.31, 0.7, 13.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.2 + -1. Let s = x - 0.3. Which is the closest to s?  (a) -0.1  (b) 2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 9*q + 1 + 3 in the form x*q + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1707848 divided by -8.\nAnswer: 213481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 108\/13 smaller than 1103.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6965 is divided by 994.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**3\/7 + 83932*y**2\/7 + 5715880*y\/7 + 31273296\/7 = 0. What is y?\nAnswer: -62, -6, 42034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/(-102) - 87\/(-17)) + -2. Suppose -3*s = -s - 58. Suppose 0*z + 9 = o*z, -5*z = f - s. Which is smaller: f or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 74\/5 of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 4*i**2 - i - 2. Let t be p(-1). Solve 0 = 6*h - h + t*a + 40, -h + 15 = -4*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 PM and 12:34 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.0065 or 0.13?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 410007.104 rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 7*g - 24 = 0. Let t(n) = n**2 - n + 1. Let u(b) = -3*b**3 + 6*b**2 - 7*b + 5. What is g*t(l) + u(l)?\nAnswer: -3*l**3 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/2 of a meter in millimeters?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 118094753, 236189506, 354284261, 472379018, 590473777, 708568538?\nAnswer: 826663301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q - 2*q. Let o(z) = z**2 - z - 4. What is o(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of r**6\/420 - r**4\/84 + 2*r**2. Factor b(z).\nAnswer: 2*z*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9173747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 13*z + 49 = 0. Let c(b) = 2 + 606*b - 608*b - z. Calculate c(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 2, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 455 is divided by 52.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1619, -5, -1, -2, 2.\nAnswer: -5, -2, -1, 0, 2, 1619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 12, g: 2, l: 3}. What is prob of picking 2 l?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j - 9. Let n be q(-7). Let m(y) = -2*y**3 - 2*y**2 - y - 1. Let u be m(-2). Suppose 4*r = -16, 4*r + 2 = 5*i - u. Sort 4, i, n in decreasing order.\nAnswer: 4, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y**3 - 28*y**2 + y - 6. Determine r(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + y + 6, 4*u = -457*y + 459*y. Which is the third smallest value?  (a) -0.1  (b) u  (c) 0.4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 3*q**5\/2 + 291*q**4 + 7392*q**3 - 148323*q**2 + 1145277*q\/2 = 0.\nAnswer: -159, -49, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26419*g**2 - 1535*g**3 + 1531*g**3 + 26419*g**2.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 3*q + h - 17, -h - 11 = -2*q. Suppose -q*a = -10*a + 50. Solve 4*y - 2*g = -5*g - a, -3*g = 3*y + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -366, -670, -918, -1110, -1246?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**5\/17 - 74*g**4\/17 - 580*g**3\/17 + 4700*g**2\/17 + 39750*g\/17 - 11250 = 0. What is g?\nAnswer: -17, -15, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 8018357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 414 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2 + 0.3. Let v = -93\/80 + 9\/16. Are o and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -20, -28, -10, 22 in ascending order.\nAnswer: -28, -20, -10, -5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 2*l - 15 - 0, 3*c - 24 = -5*l. Let v = -19 - -34. Suppose 5*t - c*h - 32 = 0, 2*h = t - v + 3. Solve 0 = -t*d + 11 - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/10 - 306\/(-540).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 198225 and 17901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**1*p**2)\/(p**0\/p)**37 assuming p is positive.\nAnswer: p**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 593 less than 319944?\nAnswer: 319351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u + 1. Let d(a) = -6*a + 8. Give -d(t) + 5*g(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 2 = 0, -5*k - 15 = d - 6*k. What is the nearest to 1 in 3, -2\/11, d, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -331  (b) -3\/2  (c) -4\/3  (d) 643\/11  (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t + 5. Let a be m(6). Let x(z) = -z**2 - 1 - 3 - 7*z + 3 + 4. Let r be x(a). Solve s + r*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**9\/b*b*b**(-2\/3)*b)\/(b*(b\/(b\/b**0))\/b*b*(b*(b\/(b*b\/(b*b**(-4)*b))*b)\/b*b)\/b) assuming b is positive.\nAnswer: b**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 5*v = 10, -16*v + 16 = -2*p - 12*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 5*t = 142059, 177595 = 5*m - 5*t + 3*t. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.1, 1\/14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h = -4*h - 84. Suppose h = d - 6. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/397 and -2\/4498407?\nAnswer: 4498407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 42.6 and 2022.\nAnswer: 86137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -3*g**2 + 3*g + 1. What is c(4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6895399cm to kilometers.\nAnswer: 0.000006895399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the first derivative of -2*c**3\/3 - 5*c**2 + 14*c - 37. Let j be q(-6). Suppose -j*a + 2302 = i, a + 5*i - 1151 = 9*i. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 + 20*l**2 - 719*l + 14397. Give j(20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of -31*d**3 - 175*d**2\/2 - 57*d. Differentiate r(h) wrt h.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/425461 and -15.\nAnswer: 425461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as 3\/147922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7401 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -915089153 to the nearest 100000.\nAnswer: -915100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-6) - 62\/6. Let f be (-21)\/(-45) + (-2)\/z. Put 3, -1\/4, f in descending order.\nAnswer: 3, f, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of 11*a**4\/36 - 7*a**3\/3 - 4*a**2\/3 + 64*a. Factor k(v).\nAnswer: (v - 4)*(11*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 185, -664, -2079, -4060, -6607?\nAnswer: -9720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, 0.4, -9, -4\/9, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3994 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 5*u + 1. Let b be t(-1). What is the remainder when 14 is divided by -6*(-1)\/((-3)\/b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vpfpkgl. Give prob of sequence vgk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2*z**3 + 9*z**2 + 5*z + 3. Let b be x(5). Suppose -9*f + b*f = 0. Suppose 3*u - u - t - 157 = f, 0 = u + 2*t - 71. List the prime factors of u.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1)\/(t**(-2)\/t))\/(t**(1\/3)*t)**(-31)*(t**(-1\/6)*t**(-13))**(3\/19) assuming t is positive.\nAnswer: t**(4703\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1055, 4175, 9359, 16595, 25871, 37175, 50495?\nAnswer: 65819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of w**6\/30 - 7*w**3\/2 + 14*w**2. Differentiate z(a) wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.4 - 0.3. Let x = -6059\/357 + 329\/17. Let v = x - 12\/7. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of 79\/12*j**4 + 37*j + 0*j**2 + 47\/10*j**5 + 0*j**3 + 0. Find the third derivative of p(r) wrt r.\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 - y**2 - y + 1. Let t(w) = -2*w**2 - w - 77. Calculate -n(p) + t(p).\nAnswer: -p**3 - p**2 - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hqrhhqrhqqqhrhqhqh. What is prob of picking 3 q?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13 - 10120323122000?\nAnswer: -10120323121321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 798116 to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.4*-0.19.\nAnswer: 0.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 681797953 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 76772605 by 455.\nAnswer: 168731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 404881417.\nAnswer: 37, 10942741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 2*u - 3*g - 6 = 0, -14 = -3*u + 5*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -153 + 169.1. Let u = -17 + w. Let z = u - -0.97. Round z to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -68*f - 403. Let u be m(-6). Let o be 25\/(-6) - 1\/(-6). Sort 4, u, o.\nAnswer: o, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1494.8 take away 0.057229?\nAnswer: -1494.857229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lebl when four letters picked without replacement from {l: 2, b: 1, e: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4885*c**2 - 1757*c**2 + 8560*c**2.\nAnswer: 11688*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -118*s + 172 + 918*s**4 + 118*s - 172 - 542*s**2 wrt s.\nAnswer: 22032*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 - c. Let v be ((-30)\/18)\/((-1)\/3). Suppose 0 = -2*u + 3 - v. Give w(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -71 + 121. Is y a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 197171723\/390 - 505569. Find the common denominator of q and -52\/15.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1172 by -156.\nAnswer: -293\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 26123701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -10843576242 and 0.179?\nAnswer: 10843576242.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-33))\/(790\/(-110) - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of m**3\/12 - m**2\/8 - 18*m - 192. Factor d(l).\nAnswer: (l - 9)*(l + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -7. Let d = 0 + b. Suppose -672 = -2*u - 8*m + d*m, -3*u + 4*m + 985 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79978.74 kilograms to grams.\nAnswer: 79978740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 22 = 11. Let z = a + 13. Solve -z*p - 4 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4\/8 - 11301*k**3\/8 + 558551*k**2\/4.\nAnswer: -k**2*(k - 98)*(k + 11399)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 11 = -2*y + 2, -3*y = 5*s - 10. Let h be s - (-3)\/9 - (-44)\/66. Solve h = 2*v - 5*t - 18, t + 4*t = v - 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 64 = -2*j - 9, 133 = 5*j - l. Suppose 184*d - 353*d = -196*d + 270. Solve j*q = 21*q - d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -251 + 248. Let w = 2 + 2. Which is the closest to 2?  (a) r  (b) 0.3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**3 + 3*d - 3*d)*(-4 - 4 + 7)*(-10 - 43 + 12)*(-6 + 7 - 23).\nAnswer: 902*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 + 3*g + 2. Let d be w(-5). Let z be (-11)\/(11\/d)*-4. What is the remainder when 23 is divided by -4 + z\/((-6)\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1072935858 by -17.\nAnswer: 63113874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 300 and 330.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20873927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 798431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v**2 + 4*v - 4. Let r be n(-3). Let k(d) = 3*d**r + 45*d**2 + 3*d**2 + 12*d**2 + 3 - 2*d. List the prime factors of k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 = 3*k + 4*n, -5*k + 2332*n = 2335*n - 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (110\/(10230\/(-93)))\/(2\/(-504)*-4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21 - -23. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + (-6820)\/160 + 30?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*y + 37*y = -8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/(-5))\/((-24)\/60). Let r(m) = -2*m**3 + m**2 - 3*m + 1. Determine r(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 11*f + 3*f**2 + 0*f - 2 - 10*f = 0. Calculate f.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**3 - 8*b**2 - b + 8. Let q be c(-8). Let a(d) = 2 - q*d**2 + 11*d - 4 - 2 + 15*d**2. Determine a(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 13 + 5 - (4 - 0). Suppose o*h - 4 = 12*h. Suppose -k - h*k - 786000 = 0. Round k to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 + 4*b**2 - 12*b - 23. Calculate o(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7049635 is divided by 463?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a - 3*a - 1 - 1)*(1 - 5 - 1)*(a**3 - a**3 - 2*a**3).\nAnswer: -30*a**4 - 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 28672*n**2. Let p(a) = 576*a**2 - 2*a. Give p(f(c)).\nAnswer: 473520144384*c**4 - 57344*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2448*r**2. Let h(n) = -27*n. Calculate h(c(o)).\nAnswer: -66096*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -44 - 5*x + 3*x - 2*x - 10*x. Suppose -5*l + 450 = 3*n, -322 = -2*n - 0*l + 4*l. What is the remainder when n is divided by u(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 7 + 33. Suppose y*k - 5*k = -795. What is k rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1643574 or -42.9?\nAnswer: 1643574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 5*z - 9 = 0, -61*z = -63*z - 12. Which is the nearest to 2?  (a) -0.3  (b) 14  (c) 0.2  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -66341419 and 0.1.\nAnswer: -66341418.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m**2\/9 + 202861840*m\/9 - 2572057883011600\/9 = 0 for m.\nAnswer: 25357730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**0)**(-6))**(-16\/3) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13707 is divided by 13032?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 3*o. Let k be z(-1). Let s(d) = -d**2 + 4*d + 3. Let y(j) = j**2 + 4*j - 8. Let q be y(-6). Let a be s(q). Put k, a, 1 in increasing order.\nAnswer: k, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 481313?\nAnswer: 7, 29, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2*j**2 + 29*j. Let s(l) = -2*l**2. Calculate i(s(k)).\nAnswer: -8*k**4 - 58*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -193 = 8*l + 79. What are the prime factors of 0 + (-10)\/85 + (-4050)\/l?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -13943\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1820957863.\nAnswer: 23, 79172081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 16 - 3 = -s, -2*j - 13 = -s. Let f = 0.5 + -2.5. What is the closest to 2\/3 in -1, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196 - 58 = -127*p. Let h be 1 + 0 + 3 + 1. Suppose -h*q = -19 - 6. Solve p*t - t = q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i + 2. Suppose -m + 3*l + 13 = 0, -m + l + 12 = 1. Let s be 1 + 9\/11 - m\/(-55). Give f(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2792 + -2756. Let p(q) = -q**3 + 3*q**2 + 4*q + 18. Let y be p(-5). Calculate the highest common factor of s and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 411 or 410?\nAnswer: 411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.004 - -0.0713. Let o = -113 - -112.929. Let p = s + o. Round p to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 + 3)*(-j - j + 0*j)*(-21*j - 6*j**2 + 21*j)*(0*j + j + j) - 50*j**2 + 50*j**2 + 3*j**4.\nAnswer: 51*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 876 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2264794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(2\/39)\/g)**(7\/3) assuming g is positive.\nAnswer: g**(14\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 918395338\/53 + -17330123. Let u = 2405 + -4314. Let j = u - g. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 39 - 24. What is the remainder when 9 is divided by 58\/10 + 3\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (451*q - 237*q - 213*q + 175*q**2)*(-3*q - 13 + 4 + 2*q) to n*q + c + m*q**3 + l*q**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 2 + 25 = 0. Suppose -1 = -2*c - g. Let l be c\/(-2) + 0 + 20. What is the highest common divisor of 55 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*h + h = -275 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -39 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - (-465)\/51) + (-14)\/119. Suppose -2*k - 30 = 8*a - x*a, -4*k = -5*a + 75. Let i(n) = -6*n + 6. Let c(q) = -q + 1. Give a*c(m) - 3*i(m).\nAnswer: 3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1354599 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -40\/9, -3\/43 in descending order.\nAnswer: 2, -3\/43, -40\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 34\/72585 and -59\/27?\nAnswer: 217755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((5 - 1 - 3)*(-57*p - 46*p + 74*p) - 1 - 3 + 3 + p)*(-2*p - 3 + 3) to h + k*p**2 + w*p and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15444326 - -61?\nAnswer: -15444235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 10  (b) 0.2  (c) -2  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -463, -1878, -4235, -7534, -11775, -16958, -23083?\nAnswer: -30150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.253 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, v: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -249001.7083025 + 390307.678308. Let c = o - 141306. Let t = 0.03 + c. Round t to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 4651.771 centimeters?\nAnswer: 0.04651771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of -2*j**6\/3 + j**2\/2 + 46*j + 908. What is the second derivative of t(k) wrt k?\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 137731.9 from -3.83.\nAnswer: -137735.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 90 = -x + 5*l, 2*l = 0. Suppose g = -2*i + 65, i + 3*g + 0*g = x. Is 12\/i*5*11 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1910\/(4 - 2)*(1 - (-8)\/10) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -106265, -106254, -106237, -106214?\n\"Answer: 3*o**2 + 2*o - 106270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11422.9*0.669.\nAnswer: -7641.9201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 474 + -476.73. Let u = h + 9.73. Which is the nearest to 0.1?  (a) u  (b) -0.2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 9. What is the tens digit of 11 + (x - (1 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0, -12, 0.4, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from emuueeuemmmem?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1561000 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5624 is divided by 2807.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181669776.\nAnswer: 2, 3, 3784787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 + 5*v + 5. Let n be a(-5). Suppose 0 = -u + n*u - 60. Let x = -1 - -10. What is the remainder when u is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (140\/(-63))\/(6\/(-9)) + -5.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4505850.\nAnswer: 2, 3, 5, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 341*v - 5*v + 31*v.\nAnswer: 367*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, g: 1, h: 2, w: 2, y: 2}. Give prob of sequence ywgy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175 = 4*z - 39*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 65297450 rounded to the nearest one million?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r - 5*r + 2935 - 2970 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4888\/(-940)*4\/(-64)*10*2\/(-4)?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**16*u**(12\/13)*u)**(-12) assuming u is positive.\nAnswer: u**(-2952\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**3 - 2*x**3 - 2*x**3)*(x**2 - 2*x**2 + 0*x**2) + 0*x + 0*x + 2*x**5 + (3*x**2 - 3*x**2 + 2*x**3)*(0*x + 0*x - x**2) + x**5 + 2*x**5 - 4*x**5.\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -6*s**2 + 6*s + 5. Let y(h) = -h**2 + h. Let j(l) = -1. Let a(b) = j(b) - y(b). Determine 5*a(n) + z(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -76, -0.4, -2, -5.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from errrerrrrerrrr. Give prob of sequence eree.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 19 = -4*k, 309*k - 314*k - 20 = 3*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 15) to base 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -4*s + 21. Let n(o) = 5*o - 22. Let z(b) = -2*n(b) - 3*y(b). Differentiate z(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.09532 to 3 dps.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -50 - -79. Let z(v) = v**2 - v - 6. Let d be z(3). Suppose -m = -a - d*a. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of ((-122)\/2)\/(-1 + 0\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/37)\/((i\/(i**(-4\/9)*i))\/i))**(-5\/7) assuming i is positive.\nAnswer: i**(-790\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2007 - 1992. Solve m*d + 12 = -63 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 153 + -7679618520\nAnswer: -7679618367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 6*q**4)*(0 + 1 - 5) + 2*q**4 + q**3 - q**3.\nAnswer: -22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 467531583?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/2 + 3\/2. Let s = p + -1. Is (0 - (-5)\/s)*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6898910293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x + 8*x - x)*(x + 0*x + 2*x).\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of 15*u + 5\/6*u**4 + 0 + u**2 - 1\/3*u**3. Find the second derivative of v(b) wrt b.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 5*g - 1065, 2*g = 476*p - 473*p + 449. What is the highest common factor of g and 744?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*l + 262 + 296. Suppose -4*u + 3*g + 114 = 5*g, 0 = u - 2*g - 36. Suppose 3*f - u = 42. What is the remainder when l is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 134, 130, 124, 116?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-20)\/(-2))\/((-45)\/(-18)). Let c(n) = -5*n - 4*n + 15*n - 5 - x*n. Let f(h) = 4*h - 9. Calculate -5*c(p) + 3*f(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -7. Suppose 0 = -3*o - o + t. Let a be (-1)\/4 - (-26)\/8. Calculate the greatest common factor of a and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7031 + 210743\/30. What is the common denominator of -23\/45 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2\/215 - -207\/860. Sort -2\/9, 3\/2, -3, n in decreasing order.\nAnswer: 3\/2, n, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19523 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 270 = -5*u, 2*q - 12 + 8 = 0. Let a be 546\/u*-1*2. Calculate the highest common factor of a and 861.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-6)*o*o**(-13)*(((o*(o**(-12)\/o)\/o*o)\/o*o)\/o)\/(o*o\/(o\/(o*o\/(o\/o**8)*o))))**(1\/2) assuming o is positive.\nAnswer: o**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 7 - 10*k**3 - 6*k + 11*k - 4*k - k**3 - 29*k**3. What is the tens digit of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iipekwup. Give prob of sequence eu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 86000 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.015262 to 4 dps.\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d*(d**(-12\/7)\/d)\/d*d*d)*d*d**(-12\/13)*(d\/d**(-18\/7)*d)**40 assuming d is positive.\nAnswer: d**(16803\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -58\/117017157 and -37\/2542.\nAnswer: 234034314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/7  (b) -4488  (c) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (84\/(-8)*-4)\/(-1). Let a = 55 + w. Let y(z) = 18*z - 1. What is the remainder when y(2) is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 333 and 59533?\nAnswer: 535797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15 - -19. Suppose 0 = c*v + 7 + 13, -5*v = -q + 26. Let x = -16 + 11. What is the closest to q in -0.4, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1047606254.01939 + -1047601760. Let p = b + -4494. What is p rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/8310 and -44\/62325.\nAnswer: 124650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*44051.17.\nAnswer: -4405.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4223 and 0.5.\nAnswer: 0.21115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 w when three letters picked without replacement from wwbrrrwwrrwrwwb.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuguuquqq. What is prob of picking 2 g and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.5 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 3*t - 37954 = -3*y, 4*t - 2*y - 37964 = 0. Suppose -t = -10*k - 3*k. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/39 and -16\/34257.\nAnswer: 445341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do -398531007 and -398531010 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -105 + 287. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -14 - 1. Let d(k) = -2*k + 10. Let r be d(i). Suppose q - 182 - 21 = r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1341 - 1677 = 503*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/12 and -65\/138.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 1)*((4 - 1 - 1)*(-3*w + 6*w - 2*w) - 1 + 1 + 2*w + 4 - 2*w - 4 - 2*w + 0*w + 4*w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1011191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -199*s + 2166. Let b(g) = 37*g - 433. Calculate -11*b(u) - 2*l(u).\nAnswer: -9*u + 431","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1093 and -40989?\nAnswer: -44800977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9480)\/(-80))\/(-79)*(-464)\/(-783).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.4781 - -3.5219. Put 2\/7, -1\/6, q, 0.01 in descending order.\nAnswer: q, 2\/7, 0.01, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2955\/1182)\/(1\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 363, 420, -1209, -5904, -15045?\nAnswer: -30012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 442091345.\nAnswer: 5, 3169, 27901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of 3*r**5\/10 - 5*r**4\/24 - 7*r**3\/2 + 30*r**2. What is the units digit of g(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*u + 24 + 256 = 3*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 2146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 303 - 63 = 60*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 8*o = -0*o. Suppose -2*h + 3*h - 126 = o. Does 14 divide h + 3 + -2 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 3, 0, 273 in increasing order.\nAnswer: 0, 0.5, 3, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 176 - 166. Let u be 8\/(-6)*(-6)\/4. Let c(h) = -h**3 + 2*h**2 + 2*h - 1. Let v be c(u). Solve i - 1 = v*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -7*y**2 - 74990*y + 450199. Calculate r(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2738 by -1369.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -95874.9147146 + 96020.9147. Let i = 146 - z. Round i to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.15 in -0.0105717, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 4536.6  (b) -1\/10  (c) -1\/5  (d) 3\/4  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1749.04 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -6. Let q = 944 + -944. Put q, t, -1 in decreasing order.\nAnswer: t, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*m - 3*m - 210. What is the common denominator of -13\/7 and (6 + -9)*1 - (-248)\/m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -301?  (a) -0.5  (b) 1  (c) -2\/3  (d) 1.6  (e) -34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -33, -5, -4 in increasing order.\nAnswer: -33, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 5:12 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1386, 1345, 1338, 1365, 1426, 1521?\nAnswer: 1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 3*d**2. Suppose -y = -2*f - 24 - 6, 58 = 2*y - 5*f. Let x(g) = -51*g + 23*g + y*g. Determine x(q(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 6*d - 4*d + 5 = 0, -5*n + 16 = -d. Solve 0*y + 5*w = y + 3, -n*y = -w - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 3*m**2 + 19*m + 10. Let i be p(-8). Suppose -4 = 3*y - 19. What is the highest common factor of y and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 164 and 49.5?\nAnswer: 8118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 174 + 2243. Let f = z + -1336. Suppose 4*h - 979 = -5*q, -4*h - 62 = -3*q - f. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -85*p**2. Let h(q) = 35*q + 6. Let x(v) = -6*v - 1. Let l(f) = -h(f) - 6*x(f). Determine l(u(a)).\nAnswer: -85*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h**(-5\/4)\/h*h))\/h**(1\/6))**(-32)*(h**2\/h)**40\/(h**(1\/2)\/((h**(-7)\/h)\/h)) assuming h is positive.\nAnswer: h**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:04 PM and 2:40 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w + 13. Let m be b(-6). Let c(i) = 1 - 5*i + 9 + m*i + 8*i. Let j(o) = 2*o + 2. Give 3*c(n) - 16*j(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 136739504668 + 0.1.\nAnswer: 136739504668.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 344.52 to the nearest ten.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from ztzttztzzzttzttt.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3 + (-3)\/(-297)*-353 and 101\/6?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {m: 1, q: 2, w: 1, g: 1, b: 5}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/(2541\/22)*132\/(-44)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*n + 25*n + 27*n + 30*n + 3*n + 2*n.\nAnswer: 50*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**5 - 1 + 1 + (h + 3*h**4 - h)*(3*h - h + 0*h) + 53*h**3 - 53*h**3 - 2*h**5 + 4*h**5 - 9*h**2 + 9*h**2 + (-4 + 2 + 1)*(-2 + 2 - 3*h**5).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-16) - 3555\/(-120). Let y = r - 28. Solve 0 = -d - 3*l - y, 0*d + 2*l - 17 = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -39*v - 4. Let h(t) = -41*t - 3. Let o(x) = -4*h(x) + 3*m(x). Let g(b) = -2*b. Give o(g(f)).\nAnswer: -94*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 times 1.11333?\nAnswer: 8.90664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3611 - -7853. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is bcc0 (base 14) in base 9?\nAnswer: 48767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * 5475.\nAnswer: -21900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*y - 26*y - 482820 = -4*m, -3*m = -4*y - 362095. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -5*w + 6. Let d(n) = -40*n + 50. Suppose -3*h + 55 = -5*a, -4*h - 4*a = -h - 91. Let m(f) = h*g(f) - 3*d(f). Let b(r) = -2*r**2. Give m(b(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 12:17 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 16252259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(204)*-3 - 4*(sqrt(204) + sqrt(204)*1 + sqrt(204)))\/(-1*(1*sqrt(12) + sqrt(12)) + (sqrt(72)\/sqrt(2))\/sqrt(3))*-3.\nAnswer: -45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2. Let w(v) be the second derivative of 0*v**2 - 74*v + 0*v**3 + 11\/4*v**4 + 0. What is w(l(g))?\nAnswer: 33*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, 109, 249, 443?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 168*l**2 + 49*l. Let r(d) = -7*d**2 - 2*d. Let k(h) = -4*j(h) - 98*r(h). Let u(c) = -7*c. Give u(k(o)).\nAnswer: -98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 + 50*t - 168. Calculate c(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 56.16 - 54.2521. Let a = -0.1044 + m. Let c = a + -1.8. What is c rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aalggsa. What is prob of sequence as?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 3*q + a, -20 = -4*a. Suppose 3*u - n - 17 = -5, -27 = -5*u + 4*n. Calculate the lowest common multiple of u and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 + 10*n**2 + 12*n + 9. Let v be u(-9). Let m = -1212 - -1211.9. What is the second biggest value in v, -1\/6, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-12)\/(c\/(c\/c**(13\/2)*c)))\/((c\/(c*(c\/(c*c**4)*c*c)\/c*c*c))\/(c*c*c\/(c*c*c**(2\/33))*c)) assuming c is positive.\nAnswer: c**(-1093\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/27 + (-23)\/18. Let k be (12\/(-90))\/(-1 - (-18)\/10). What is the second smallest value in 10, p, -1\/3, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, n: 5, d: 6, o: 2, t: 1}. What is prob of picking 2 v?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1570736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 38*p**3 + 4097*p**2 - p + 113756538.\nAnswer: 114*p**2 + 8194*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000116713 to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3942*k**5 + 260*k + 20 wrt k?\nAnswer: -78840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 230 - 228. Suppose 2*w - i = 90, -w + 20 = -v*i - 25. Solve -w = -2*a - 39 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 93, 193, 327, 507, 745, 1053?\n\"Answer: 2*p**3 + 5*p**2 + 71*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in -0.939, 1, -1, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wguccgugwuru. What is prob of picking 1 r, 1 g, and 2 c?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**(3\/5)\/l))**(4\/5) assuming l is positive.\nAnswer: l**(28\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6887?\nAnswer: 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 AM and 6:31 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1295607.74 and -0.3.\nAnswer: 388682.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 476 and 26537.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -5*k**2. Let w be ((-4 - -4)\/((-4)\/(-2)))\/1. Let j(g) be the second derivative of w*g**3 + 0 + 10*g + 0*g**2 + 1\/6*g**4. Calculate j(b(u)).\nAnswer: 50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 81\/15 - 18\/45. Solve -1 = -n*f + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.4 or 2061?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 0, 12, 36, 72?\n\"Answer: 6*m**2 - 6*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = 17*s + 147, 0 = 15*s - 13*s + 3*r + 121 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 120960 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4707449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 171 a factor of 493848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 5004421?\nAnswer: -5004423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-3) - 129\/(-9). Suppose -a - 2*a = w. Let i(t) = 3*t**2 + 2*t - 8. Does 19 divide i(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 + 5*g**2 - 5*g + 3. Suppose -p + 6*p = 15. Let c be f(p). Suppose -c*i = 3*i - 9. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 43 = 9. Let b be (-3)\/(7 - -2)*(m - 1). Suppose -11 = -b*u + 19. Solve -u*f - 37 + 11 = -4*v, 0 = -3*f - 3*v + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**2 + 8*x + 9. Let r = -12 + 2. Suppose 2*w - 2 = -p - 6, -5*p + 4 = 4*w. Let f = p + r. Determine i(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence og when two letters picked without replacement from pgltmto?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2412*t - 5. Is o(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x - x**2 - x + x**3 + 2*x. Let b(p) = -4*p**3 + p**2 + 2*p + 1. Suppose -4*m + 342*q - 337*q - 13 = 0, q = 4*m + 9. What is m*v(n) - b(n)?\nAnswer: 2*n**3 + n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-128)\/80 - (-4)\/(-10). Let l be (-12)\/42 + ((-12)\/7 - s). Solve l*q = -7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46 and 10228997?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 56*f**2 + 2*f. Let v be u(-2). Suppose v = 4*q - 0*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - s = 953 + 355, 3*s + 1308 = 4*a. List the prime factors of a.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1738078287.\nAnswer: 3, 11, 52669039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 92233720 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 4*d + 44, -6*t + 140 = 5*d + 1. Sort t, -0.4, 5, -3, 6\/11 in decreasing order.\nAnswer: t, 5, 6\/11, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6, -5, -1\/7, 0.3, 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 10880*p + 10. Let d be o(23). Suppose -d = 6*z + 19*z. What is z rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of s + 0*s**3 - 3 - s**2 + 1\/2*s**4 - 1\/5*s**5. Factor y(g).\nAnswer: -(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 6*f**2 - 65*f - 12. Is 36 a factor of d(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s**2 + 3*s - 3. What is the remainder when 33 is divided by f(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15514 - 7535. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -874159 not equal to -874105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0243 take away -14803597?\nAnswer: 14803597.0243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/(-10))\/(2\/5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/6247?  (a) 1  (b) 4  (c) 3  (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 + 20. Let d(l) = -l**3 + 4*l**2 - 2*l - 2. Let g be d(f). Solve g = 2*t, 7*x - 7 = 4*x - 4*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 40\/221 and -45\/23.\nAnswer: 5083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12046116?\nAnswer: 2, 3, 383, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - -3)*1\/(-1 + 0). Let n be (-5)\/(-25) - (162\/(-15) + c). Is n greater than 51\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72)\/sqrt(6))\/sqrt(4)*5)**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*v - 20 + 215 = 64*v - 80 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -s - 515 - 378, -u = 4*s + 3539. Let n = -349 - s. What are the prime factors of n?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 286661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 454656451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -0.2  (b) -2  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1  (b) 3  (c) 0  (d) 431  (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, p: 1, r: 1}. What is prob of picking 1 f and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/4)\/((-3)\/6). Let w = 79 - 77. Let f(m) = -20*m**3 - 10*m**2 + 19*m**3 - 4 + 4*m + 13*m**w. Determine f(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 PM and 5:28 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of -v**9\/7056 - v**8\/1960 - v**7\/1960 - 4*v**3\/3 - 10*v. Let g(y) be the second derivative of s(y). Solve g(h) = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -9 - 4*y**2 - 10*y**3 + 6 - 198*y + 1 + 195*y. Let o(v) = -v**3 - v. Give -a(c) + 3*o(c).\nAnswer: 7*c**3 + 4*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -243 or -2?\nAnswer: -243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13208 - -13208.000017202. Round g to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(114)*-2*4 - sqrt(114))\/(sqrt(6) + -1*sqrt(150) + sqrt(150)) + (-1*(-2 + sqrt(19)) - -6*(sqrt(19) + sqrt(152)\/sqrt(8))))**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/9  (b) -1\/20  (c) -2\/9  (d) -6.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -67.68 - -76.5. Let g = u + -9. Let x = 0.24 + g. Which is bigger: x or -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 534, 2, 4, 186 in ascending order.\nAnswer: 2, 4, 186, 534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 107.903 + 0.097. Let n = j + -107. What is the second smallest value in 4, n, 2\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -r - 3. Let n be 2 + r + (-99)\/(-3). Suppose 6*h - n = h. Solve -d - h = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 + 2*f - 2*f - 4*f**2 + 0*f + 1 - 3*f. Is b(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cbcbbccccrrrrb. Give prob of picking 3 r.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4391352, 4391322, 4391292, 4391262, 4391232, 4391202?\nAnswer: 4391172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001321848 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by 269?\nAnswer: -7\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54538, -109079, -163620, -218161, -272702?\nAnswer: -327243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2163.91 - 2155. Let u = r + 0.09. Let i = 5 - u. Which is the nearest to -0.1?  (a) -1  (b) 3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(153)*-2)\/(sqrt(9)*-1*1).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyty. What is prob of picking 1 t and 2 y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -0.4, 86, 1\/3, -10\/829?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 227481?\nAnswer: 3, 191, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -4*j + 42, 0*j = 4*a + 3*j + 40. Suppose -2*n - 12 = -2*o + 30, -3*o - n + 43 = 0. Let q = a + o. Solve -h + 4*h = -q*x + 21, -h + 3 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.06?  (a) 4  (b) -2\/5  (c) 1\/4  (d) 1\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 570308280 to the nearest integer?\nAnswer: 23881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -28*r**2 + 688*r + 16. Let w(i) = -10*i**2 + 230*i + 6. Give -3*g(z) + 8*w(z).\nAnswer: 4*z**2 - 224*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - h + 0)*(h - 5*h + 2*h + (4*h - 6*h + 15*h)*(-2 - 2 + 3)).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -487638 - 770\nAnswer: -488408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2394 divided by 21?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 + 15*s - 17. What is m(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -12 - -4 - (0 + 1). What is the tens digit of 2 - (-1 + 1 + k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 98 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39641497.\nAnswer: 7, 5663071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -217 >= -227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + 0)\/((-2)\/4). What are the prime factors of (-23)\/y + (-2)\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -499*b - 2589. Calculate u(-6).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4508715.\nAnswer: 3, 5, 300581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + -14. Let p = 100 - 96. Solve -a = -p*x - 0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 282 + -254.2. Let j = 28.2 - u. What is the second biggest value in -0.3, -5\/4, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of 2937*w**5\/20 - 15*w**4\/4 + 5*w**3\/6 + w**2 + 1564*w. Find the third derivative of b(s) wrt s.\nAnswer: 17622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:38 PM and 12:08 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1328 and 89104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, b: 3}. What is prob of picking 2 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 731*k**3 - 2162*k**3 + 720*k**3 + 733*k**3.\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 48 and 8722200.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 3416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 6:48 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of -b**4\/24 + 32*b**2. Let w(r) = 2*r - 2. Determine x(w(q)).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9715 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a hour in minutes?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2370 and 6114126.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 23, 25, 27, 29, 31, 33?\n\"Answer: 2*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 507 - -547. What are the prime factors of w?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.04 + 1.26. Let j = 0.3 - q. Which is the smallest value?  (a) j  (b) -1\/3  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 50904.72 months?\nAnswer: 42.4206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -8*k**2 - 169*k - 6. Let q be g(-6). Calculate the greatest common divisor of 45 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2 - 1 - 32*z + 3. Let g(i) = 3*i**2 + 5*i + 5. Let w(t) = t**2 + 2*t + 2. Let n(h) = -2*g(h) + 5*w(h). Calculate n(q(a)).\nAnswer: -1024*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of 5*o**4\/8 - o**3 - 2*o**2. Let y be u(6). Let i = -3 + 24. What is the greatest common divisor of i and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1922*m**5 + 3*m**2 + 4502*m?\nAnswer: 38440*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*3*(-234)\/(-234)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*f - 13*f - 24*f + 470 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -58 - -58. Suppose i = -20*h + 14*h + 660. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*l - 1540 = 5*l. Let c be (-18)\/5*l\/(-132). Let p(z) be the first derivative of z**4\/4 - 7*z**3\/3 + 7*z**2\/2 + 3*z - 2. Give p(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - -76 - (18 - (-1 - (-19 - -7))).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of a**3\/6 + 7*a**2 - 22*a. Let z be p(-15). Calculate the common denominator of -35\/2 and 137\/((-76)\/4 - z).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**5 + 0*h**5 - 4*h**5 + h**3 + 2*h**5 - h**3 + (3*h - 3*h + 2*h**2)*(0*h + h**3 + 0*h).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -587894\/3879447 + 3\/117559. Suppose -2*h = 5*m + 909 + 1332, -5*m - 5*h = 2235. Let t = -1372\/3 - m. Calculate the common denominator of t and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, p: 1, l: 2}. What is prob of sequence lx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -40*a - 22. What is the least common multiple of 10 and y(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -9286.\nAnswer: -4643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 2*w + 4*o, -4*w + 0*w = 3*o + 65. Let a = -11287\/1004 - 2\/251. Find the common denominator of a and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 330  (b) -2  (c) 0.1  (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 18 = 3*m, -5*m + 44 = -916*q + 914*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 714*o - 25009. Give h(35).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1200) - 3*sqrt(363)) + -5*(-1 + (sqrt(12)\/sqrt(4) + sqrt(3) + sqrt(3))*-4)**2.\nAnswer: -2165 - 133*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + ((-20)\/(-180))\/(1\/(-74))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 829 - 987. Let u = m - 314. Suppose 5*a - 2*p - u = 0, 5*p = -4*a - 0*p + 112. Calculate the greatest common divisor of 42 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -m - 17, -m = -0*m - 3*k + 7. Suppose 4*v + 4*l = m, -v - 5*l = -2*l + 2. Factor n**2 + 0 + 0*n**3 + 2\/3*n - 1\/3*n**v.\nAnswer: -n*(n - 2)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from feeefvu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -1928*k**2 + 6*k. Let a(b) = -106032*b**2 + 329*b. Calculate -6*a(v) + 329*y(v).\nAnswer: 1880*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*m - 125 = -56*m. Suppose 47 = 2*o + m. Let v = 195 - o. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 5  (b) 0.12  (c) 0.5  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 6 + -4 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -4*r + 1874, c - 3*r + 717 - 94 = 0. Do -625 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1406703516?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 PM and 2:51 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence onno when four letters picked without replacement from noonoooo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2 + 4 + -2 + 63\/(-18) and 47\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -6, 2\/3, -5, 1, 85.2, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -101 - 12*o**2 + 2*o**4 + 101 + 0*o**2 - o in the form d*o**3 + z*o**2 + q*o + y + x*o**4 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11701, 14586, 17471, 20356, 23241, 26126?\nAnswer: 29011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -528*k**3 + 1069*k**3 - 535*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x + 7*x - 2*x + (-2 + 0 + 1)*(-2 - x + 2) + 3*x + 0*x - x + x - 4*x - 5*x to f + b*x and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 731.6874 centuries?\nAnswer: 7316.874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2358 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z**2. Let v(t) = 56241*t**2 - 972. Let h(u) = 922*u**2 - 16. Let g(f) = -243*h(f) + 4*v(f). What is g(r(i))?\nAnswer: 3672*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 7830 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1518 - -737. Let k = 1149 + m. Suppose -101 = 3*u - k. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 - 184*p**2 + 553*p - 1478. What is m(-187)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 6*v - 2. Let d(h) = 0 - 5*h + 6*h + 0. Suppose 2*c + 5 = 1. Let y be 30\/3*(-1)\/c. Determine y*d(s) - g(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 3*a + 380. Let y = -25 - a. Calculate the greatest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -111 + 60. Let u = b - -29. Let a = u + 36. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 4*sqrt(162) + 2 + 5.\nAnswer: 6 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -23.69389469 to 3 dps.\nAnswer: -23.694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 41*a**2 + 215 - 215 + 2*a**2 - a**2 + 0*a**2 + (-3 + 5 - 1)*(2*a**2 - 4*a**2 + 4*a**2) - 3*a + 2*a**2 + 3*a + (0 + 0 + 2)*(a**2 + 2*a**2 - 6*a**2).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 111 in -3, -1991\/4, 18\/7?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1504 - -1499. Which is the second biggest value?  (a) 0.3  (b) t  (c) -1\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from {i: 2, a: 3, t: 1, r: 8, z: 3, u: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001396 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**4\/3 - 6*m**3 + 16*m**2 - 32*m\/3.\nAnswer: 2*m*(m - 4)**2*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 1495*u**4 + 4*u**3 + 4*u**2 - 1360*u. Let n(c) = -3*c**4 - c**3 - c**2 - c. Let b(a) = -k(a) - 4*n(a). What is the second derivative of b(i) wrt i?\nAnswer: -17796*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, p: 1, w: 1, h: 2}. Give prob of sequence hphf.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4596045 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 30, -2, 21935?\nAnswer: 21935","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2596440 divided by 77\nAnswer: -33720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 51974233679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 60 + -47. Suppose -65 = l*d - 13. Let j(i) = i. Let t(c) = -2*c. Give d*t(f) - 3*j(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -62995\/36454036 - -2\/19769. Let q = w - -4268\/2305. Find the common denominator of q and 77\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11781 * 1.49.\nAnswer: -17553.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -16\/9, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/(-120))\/((4\/(-7))\/((-50)\/(-35))).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 11:09 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-76750*q + 76750*q + 334*q**4)*(0*q - 8*q - 3*q).\nAnswer: -3674*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -i**6\/360 - i**5\/30 - i**4\/6 + i**3\/3 + 8. Let f(b) be the third derivative of m(b). What is f(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.045, -0.2, -1\/4, -5 in increasing order.\nAnswer: -5, -1\/4, -0.2, 0.045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.062 - 84.238. Let k = 92 + j. Let u = k + -8.7. What is the nearest to 0 in -0.04, -1\/3, u?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 216 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = -v + 20, 4*v + 193*k - 188*k = 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 17*c**2 - 104*c. Let p(n) = -11*n**2 + 65*n. Let v(y) = -8*p(y) - 5*t(y). Let r(z) = -92*z - 7. Calculate r(v(k)).\nAnswer: -276*k**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/(w*((w*(w*w**(-3\/4)*w)\/w)\/w)\/w*w)*w))**(-1\/36) assuming w is positive.\nAnswer: w**(-1\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1608\/13 - 3503845\/28327. Let k = -74115\/63191 - m. Calculate the common denominator of k and -28\/15.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + (48 - 0)\/4. Suppose -p = 2*p - 4*o + u, -4 = -2*o. Let h be (p + -1)\/(-11 - 0). Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14576 divided by 2.\nAnswer: -7288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/(-77) - ((-8034)\/(-66) + -2).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*b - 488*b + 91*b - 261*b in the form t*b + c and give t.\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 2:35 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 181\/559062 and -31\/2610.\nAnswer: 2795310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 - 43 - 6*r - 37 + 118 - 21*r.\nAnswer: -27*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -110, -1, 104, 205, 302, 395?\n\"Answer: -2*g**2 + 115*g - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1083, 1077, 1071, 1065, 1059, 1053?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(2548)*2)\/(sqrt(324)*-2) + -1.\nAnswer: -7*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2267070500 to the nearest 1000000.\nAnswer: 2267000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*v - 75*v + 131*v + 240 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3850095559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 - 8*m**2 - m + 10. Let v(y) = y + 1. Suppose 10*b - 11*b + 9 = 0. What is the least common multiple of s(-8) and v(b)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11712*u = 11691*u + 462 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/5 + 16276*a\/5 - 13024.\nAnswer: (a - 4)*(a + 16280)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -44093, -44091, -44089, -44087, -44085?\n\"Answer: 2*k - 44095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**0)**(-16))**(-41)*((a\/((a*a**(2\/5))\/a))**12)**(-11\/5) assuming a is positive.\nAnswer: a**(-396\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 987541070*k. Let i(q) = -2*q. What is i(h(a))?\nAnswer: -1975082140*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + -2. Suppose 0 = -n + 5*n - t - 14, 3*n - 14 = -t. Let l = -1 + n. Solve f*z - 3 = -l*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 3*r + 22 = 0, 0*r - 2*r = -2. Which is the nearest to -0.1?  (a) j  (b) -16  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -185, -3144, -11657, -28502, -56457, -98300?\nAnswer: -156809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 6 - 1 - 6*h**5 - 5*h**4 + h**5 + 5*h**4 + (-5*h + 5 - 5)*(-h**4 + h**4 - 10*h**4).\nAnswer: 45*h**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 32655 - -13?\nAnswer: 32670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + -2. Let c be 70 + -1 + (1 - o). Suppose 5*a + 2 = c. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 232 - 222. Calculate the lowest common multiple of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1194 + -25058\/21. Let h = 2\/21 - p. Let r = 0.141 - -0.059. Which is the second biggest value?  (a) -3  (b) h  (c) -2  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/12*4 - 1. Let f be (-1 + k)*(8 - 9). Let g be (-2 + f)\/(1\/6). Is -1\/2 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -78, -82, -90, -102, -118, -138?\n\"Answer: -2*d**2 + 2*d - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - -2) + 66898\/10790. Suppose l*i**3 + 544\/5*i + 276\/5*i**2 + 64 = 0. Calculate i.\nAnswer: -5, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5228 - -5238. Let m be -6 - ((-1)\/1 - 2). Let p be 3\/(2\/m + 1). Solve -p*r - 2 = -k*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*g**3 + 13285*g**2 + 0*g**3 - 13285*g**2.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (1 - (14 + -10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f**3 - 3*f**2 - 3*f - 4. Calculate h(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of k**4\/4 - 5*k**3\/3 - 5*k**2\/2 + 7*k - 1. Let n = -9 + 15. Is 11 a factor of z(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 2*c - 4, -5*t + 2*c - 288 = 0. Let d = t + 57. What is the greatest common divisor of d and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/10)\/((-1)\/(-5)). Let z = 1 + j. Sort 1, z, 1\/6 in descending order.\nAnswer: 1, 1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225756.\nAnswer: 2, 3, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3 - (-24)\/10)*5. Let c be 0 - z - -2*67. Suppose 5*w - c = -32. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*l**2 - 1200*l + 2388 = 0. What is l?\nAnswer: 2, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10110 (base 3) in base 2?\nAnswer: 1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*6.74.\nAnswer: -13.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 185, 1280, 4249, 10028, 19553, 33760, 53585, 79964?\n\"Answer: 156*o**3 + o**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 971*m - 4*c - 175 = 966*m, c + 112 = 3*m for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - i - 3. Let k(l) = 2*l**2 + 4*l - 1. Let a be k(3). Let p = a - 29. Calculate h(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9\/1268528 + 1845077711\/526439120. Let h = l + -2\/415. Suppose -250*x - 1070 = -464*x. Is x smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 3*f - 430 = 2*f, -3*n + 624 = 3*f. Suppose -212*u + 14438 = -n*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6 - (8 + (2 - 7)). Solve l + 3 = -r*c, -4*c - 29 = -2*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 2*t + 2*z + 10, 0 = 5*z + 20. Let h(k) = k**3 + 383*k - 774. Let w be h(2). Solve w*y - t = y, 4*y + 7 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 272756 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -5586 divided by -7\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 65089\/2, 27 in increasing order.\nAnswer: 0.5, 27, 65089\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*i**2 - 21*i**2 - 5*i**2.\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 253602?\nAnswer: 2, 3, 73, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 30 + 55, -p = 2*k + 25. Which is smaller: -11 or k?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20076233087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 174006?\nAnswer: 174006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 680242451228 + -2.06?\nAnswer: 680242451225.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 540716?\nAnswer: 2, 11, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4153459951.\nAnswer: 4153459951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 14*h - 14. Calculate the remainder when 53 is divided by l(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13832 = -0.558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 1. Let g(r) be the second derivative of -r**5\/20 + r**4\/12 - 9*r**2\/2 + 2*r. Let i be -1*(-1)\/(-3) - 63\/(-27). What is i*g(x) + 18*q(x)?\nAnswer: -2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of -m**7\/231 + m**6\/33 - 3*m**5\/55 - m - 3. Factor l(c).\nAnswer: -2*c**3*(c - 3)*(c - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -637730, -2550926, -5739586, -10203710, -15943298?\n\"Answer: -637732*f**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2*q. Let l(n) = -131*n**2. Give j(l(t)).\nAnswer: 262*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 + 67*l**2 + 861*l - 8757. Give t(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1.7 + 460\nAnswer: 461.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.47434 to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a = -68 + 23. Suppose -5*u = 11*q - 13*q + 1892, -3774 = -4*q + a*u. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4520445 (base 6) in base 3?\nAnswer: 102121010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ga when two letters picked without replacement from uuttagntt?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l. Let q(u) = -282*u**2 - 376. Suppose -4*x + 1514 = r + r, 5*x = 5*r + 1855. Let s(t) = 1. Let p(m) = x*s(m) + q(m). Determine p(f(b)).\nAnswer: -282*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 11*u - 15 = 0, u - 1238 + 1250 = -2*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5*16\/(-120)*(-18)\/4*1. Let l(m) be the third derivative of -5\/12*m**4 + 0*m + 17*m**2 - 13\/6*m**z + 0 - 1\/60*m**5. Give l(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmssmmmsm. What is prob of sequence ms?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - 1) + 23 + -27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 + 58*d + 580. Calculate a(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 + 5233*c - 222977. What is a(43)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, u: 3, q: 4, l: 1}. What is prob of picking 1 t, 1 u, and 2 q?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -21*d**2. Let f(x) = 13*x - 13*x**2 + 12*x**2 - 13*x. Give f(g(i)).\nAnswer: -441*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = 5*q - 105, -3566*u + 3561*u + 115 = 3*q for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1172 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14144 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 35449829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -66  (b) -1\/12  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.43 take away -20885826?\nAnswer: 20885824.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 1)*(-j - 1 - j + 4 + (3*j - 4*j + 0*j)*(-1 + 5 - 5) + 0*j + 0*j + j + 3 + 2*j - 3) to t*j + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of 351*o**2\/2 + 102*o + 113. Is l(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1295, -1903, -1889, -1253, 5, 1885, 4387?\n\"Answer: 311*d**2 - 1541*d - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5016 - 1186. Differentiate -154*z**3 - 57 - 28*z**3 - 3830*z + h*z wrt z.\nAnswer: -546*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 7 = 5*x, -3*x = -8*x + 2*q + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -6*c**2 - 27*c + 4. Let h(n) = -8*n**2 - 28*n + 7. What is 4*h(d) - 5*t(d)?\nAnswer: -2*d**2 + 23*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 137702, 0.4, -0.2 in ascending order.\nAnswer: -3, -0.2, 0.4, 137702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3318 and 1261575?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 3992*s**2. Let v(g) = -59*g - 10. Let i(d) = -65*d - 11. Let j(k) = -10*i(k) + 11*v(k). Determine j(x(n)).\nAnswer: 3992*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 AM and 1:25 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4844 + 4846. Let o(r) be the first derivative of -r**4 - 7\/2*r**g + 7*r + 2*r**3 + 16. Let x(y) = -y**3 + y**2 - y + 1. Determine -o(s) + 6*x(s).\nAnswer: -2*s**3 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2851, -2850, -2849, -2848, -2847?\nAnswer: -2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((63\/(-12))\/(-21))\/((-1)\/6)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 5. Suppose -5*u = -g*v + v - 6, -2*u - 3 = -3*v. Suppose -50 = -5*i + 5*w, -5*i - 3*w = -0*i - 26. Solve -u*s + i = -5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -25\/6, -2.77, 0, -1.1, -2, 0.3, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-7))\/(-10 - ((-84800)\/420)\/20)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -10, -33, -74, -139, -234, -365?\n\"Answer: -k**3 - 3*k**2 - 7*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 965081 is divided by 196?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 66, 273, 618, 1101, 1722?\nAnswer: 2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + 4*a - 4*a)*(a**2 + 2*a**2 - a**2) + 3*a**3 + 0*a**3 - 6*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express m**4 - 2*m**4 - 2*m**4 + (0*m**2 + 8*m**3 + 0*m**2)*(3 - 3 + 2*m) + 580*m**3 - 101*m**4 - 580*m**3 as d*m**4 + o*m**2 + y*m**3 + q + z*m and give d.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 211915066 to the nearest integer?\nAnswer: 14557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1260 = -11*c + 1315. Solve 2*x + c*x = 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 383*p - 1 - 22*p**2 - 585*p**3 - 383*p.\nAnswer: -585*p**3 - 22*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4077*i**4 + 772*i**4 - 1287 + 1807 + 2650 + 1654 wrt i?\nAnswer: -13220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13.65859 + 12.85859072. Let f = v + 0.8. Round f to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**19*d**(14\/5) assuming d is positive.\nAnswer: d**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of -p**6\/780 - p**5\/195 - 3*p**2 - 3. Factor r(m).\nAnswer: -2*m**2*(m + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 15812 and 17469 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 683907.\nAnswer: 3, 7, 29, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/10, -3, 101, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -170, -196, -238, -296, -370?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - q**2 + 12*q + 6. Let x be i(-4). Solve 4 = s - u - 0*u, -u = -2*s + x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 153824176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 46 + -42. Let t = 8 + -6. Suppose 4*u = u + 6, 3*u = t*l + 2. Calculate the remainder when m is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 10) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -70 - 2. Let v be u\/(-42) - 2\/(-7). Solve -3*i - v = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 PM and 6:18 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -60*n + 72. Let h be o(-2). Are 192 and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) 0.06  (c) -2\/119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 4 = -z, -5*z + 21*x - 23*x = -12. Suppose -z = 3*b - 4*b. Solve 5*y + 8 = -2*d, 5*d - d + 4*y = -b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 9*c**3 + 10*c + 5. Let u(q) = -4*q**3 - 5*q - 2. Give -2*m(r) - 5*u(r).\nAnswer: 2*r**3 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1030 + 1030. What is the nearest to 0.5 in -3\/2, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 18 + 11?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b**3 - 2*b**2 - b. Let h be u(-2). Suppose -5*f - 5 - h = 0. Are f and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f - 6. Let m be h(-7). Let z = -3 - -5. Let w be 2 + (1 - (-1 + z)). Sort 0, m, w in increasing order.\nAnswer: 0, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40770215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 257208773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/8 + 4*(-66)\/(-96). Let c = -81 - -77. Let a be (-3)\/(9\/(-8)*c\/(-6)). Solve m*w - a*w = 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 2*i - 12 = -21, 2*i - 6 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -750673, -750522, -750371, -750220, -750069, -749918?\nAnswer: -749767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 6*d**2 + 3*d - 7. Let o be m(5). Suppose o = 8*u - 6*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8, -14, -34, -74, -140, -238?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, v: 1, f: 4, i: 1, x: 5}. Give prob of picking 1 f, 2 x, and 1 l.\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 476560.\nAnswer: 3\/476560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -86172048, 0 in decreasing order.\nAnswer: 0, -5, -86172048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of 27\/8*d**4 - 3\/10*d**5 + 9*d**2 + 0*d - 10*d**3 + 118. Find v, given that z(v) = 0.\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aqaq when four letters picked without replacement from {a: 1, b: 3, g: 5, q: 2, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(5*-4*sqrt(539)*-1 + 0) + 1)**2.\nAnswer: 560*sqrt(11) + 862401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*n**3 - 1082*n**2 + 28700*n.\nAnswer: 12*n - 2164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-12)\/(-9)*(-6)\/(-4). Let f be -12*1\/(-2) - j. Suppose -o = f*a - 21, a - 13 = -2*o + 29. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95 is divided by 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 563652 divided by 921?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 335*x - 20 = 650 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4433 + -2325?\nAnswer: 2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 8*q = 2420. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1125\/(-875)*(-126)\/(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -222 + 223.3. Let f = -465.1 + 465. What is the closest to f in c, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6691.5257 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, s: 6, d: 7}. Give prob of picking 1 z and 3 d.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -10797, -10763, -10729, -10695?\n\"Answer: 34*m - 10831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-33)*4180\/570.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 65\/((-520)\/(-16))*((-45)\/850)\/(3\/(-5))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5.25 * 1\nAnswer: -5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1200) + sqrt(1200) + sqrt(12))\/(sqrt(66)\/sqrt(396)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 679 - 175. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of 35*f**4\/24 + 11*f**3\/2 + 36*f**2. Find the first derivative of c(t) wrt t.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -9*u**2 - 2*u - 1. Let y be c(-2). Let d = y + 76. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2156 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*a**3 + 16*a**3 + 6*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 54007190 a multiple of 386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (416 + 105 - 22)*(2*b + 0 + 0).\nAnswer: 998*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l**2 - 2*l - 1. Let f be o(2). What is the derivative of 4*c + f + 5*c - 1 - 4*c wrt c?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from wgxwwgpxpoopxwpo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u**2 + 85*u - 1. Let n(c) = -3*c**2 - 83*c + 2. What is -3*n(s) - 4*x(s)?\nAnswer: s**2 - 91*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (9 - 0)\/((-6)\/(-4)). Suppose -p*n + 4 = -2*n. Suppose -n = -x + 4. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45781935?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -41*p - 24*p + 236*p + (0 + 0 + 1)*(0 + 0 + p) as s + b*p and give b.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 5)*(293*k - 705*k - 1084*k - 1 + 1 + 2*k - 4*k + 4*k - 2*k + (0 + k + 0)*(-4 + 2 + 1)).\nAnswer: -1497*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 203771\/39368109 - -2\/41137. Is 1 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 3*q. Suppose -2*d + 967 = 3*t, q = 5*t + 4*d - 2724 + 1113. Suppose 94 = -3*v + w + t, 0 = -4*v + 2*w + 306. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 141112744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 0 - 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -3, 2, -984, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1140)\/(-200)*(-280)\/42?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-500)\/150*(-3)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151 = 2*k + 7. Calculate the highest common factor of k and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of -x**3\/6 + 3*x. Let q(c) = c**2 - 6*c + 3. Let g be q(2). Let a be m(g). Let v(j) = -j**2 + 6*j - 4. Calculate v(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 7*x - 4. Suppose -3*s + g = -1, -x + 0 = -4*s + g. Solve 0 = -i - 2, s*i = 3*u + i + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 337094892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8 + 6 + 2 + 0. Let t be (-1 - -1) + k\/4. Find x, given that -7\/6*x**3 + 1\/2*x**t - 1\/6*x**2 + 7\/6*x - 1\/3 = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 17.7641 and -0.5.\nAnswer: 17.2641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*v = -8*v - 260. Let h be 1 + -1 + 5 + 0. Which is the biggest value?  (a) h  (b) v  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3846 and (4\/2 - 72\/33) + (-13505)\/(-407).\nAnswer: 42306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17870 + -53599\/3. Which is the smallest value?  (a) z  (b) -3  (c) -0.1  (d) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 215 = 3*w - 3*i, -200 = 3*w + i. Let y be 364\/w + 2\/(-5). Is 40 a factor of 83 + y\/(-2)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63981833 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-232)\/(-986)*5049\/378?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 - 13*z + 11. Suppose 104 - 8 = 8*f. Calculate a(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.2 + 6.2. Let x = 1 + 0. Let i = x - q. Put i, 4, 1\/4 in ascending order.\nAnswer: i, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 150080433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, 1550.\nAnswer: -4, -3, 1550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 + 10*x + 4. Suppose -21*t + 155 = -3205. Let p be 4 + (-104)\/28 + t\/28. What is z(p)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1912, -3811, -5714, -7621, -9532?\n\"Answer: -2*l**2 - 1893*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1015 is divided by 93?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 4*l + 2*l - 1078, 3*l = 2*p - 1081. What are the prime factors of p?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9.93 + 0.47. Let l = -10.400046 + y. Round l to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16\/3*9039\/524 and 12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 65713273 to the nearest integer?\nAnswer: 8106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 2*m + 44. Let j be n(-18). Let c(p) = 2*p + 1. Let b(t) = -3*t - 3. Let l(x) = 3*b(x) + 5*c(x). List the prime factors of l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 122.15  (b) 0.8  (c) -5  (d) -2  (e) 2  (f) -0.4  (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 547.7048 centimeters to millimeters.\nAnswer: 5477.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.82424 rounded to 2 dps?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 105740 - -4?\nAnswer: 105744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 53652493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/18, 1, 5?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 833.9 + -815.9. What is the smallest value in r, 1, 14, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -954 - -1808. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 52\/102159 and 17\/170265.\nAnswer: 510795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 + 8*o + 14. Let u be k(-6). Let p be (-2)\/(-3) - 7\/(-3). Solve u*j - 7 = p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -28734345.6213651 - 1.3786349. Let w = g + 28734347.20000009. Let c = 0.2 - w. Round c to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 255 = -59. Suppose z = 2*u - 2. Suppose 3*s + 5*q + 103 = 5*s, -s + u = -q. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a994 (base 12) in base 2?\nAnswer: 100100100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*s + 7*s - 29*s + s + 8*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 30 + 20 = 0. Suppose -6*g + 44 = -5*g + 2*p, -3*g + 104 = -p. Let b = -16 + g. What is the lowest common multiple of b and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 7, n: 6, e: 2}. What is prob of sequence nnm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 - g**2 + 4*g - 1. Let f be p(-3). What is the second derivative of -6*w + 2*w + 3*w + 2*w**f + 3*w wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 3*f + 7. Let w be 2 + -3 + 3 + 2. Let u be t(w). Let m = -13 + u. Solve -x - m = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 96749650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 141 * -1.1.\nAnswer: -155.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 128 - 128 - 10*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*w - 21 = 39 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 79 + -81. Let l(y) = 4*y + 65. Calculate the least common multiple of (-193)\/(-4) + (36\/(-16) - t) and l(-8).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 89 + -141 + 83 + (-1 - -7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*r + 118*r = 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -s**3\/5 - 2*s**2 + 292*s\/5 + 616\/5 = 0.\nAnswer: -22, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.529715 micrograms in kilograms?\nAnswer: 0.000000000529715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {k: 2, a: 3, o: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 53778014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 939\/21 - (-6)\/21. Let p be 10\/s + (-20)\/9. Let v be p\/6*-6*1. Solve 3*q = -9, -2*q + 2 - 10 = v*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-5 + 76\/16). Suppose -y*a - 56 = -18*a. Solve 0 = 5*t + 2*o - 6 - a, -2*t = 5*o - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2301\/130)\/(-59) - (-14)\/(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -5 * -1.377\nAnswer: 6.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of 7\/3*q**3 + 0 - 11\/2*q**2 - 12*q. Is b(7) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -2, n - 2*g = -g - 1. Let c(d) = 7*d**3 - d. Let l be c(n). Find the third derivative of -4*s**6 + 2*s**2 - 4*s**2 + s**l + s**2 wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -69, -32, -12.\nAnswer: -69, -32, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from ywwwiyqyywqyi.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 + 30*u - 31. Let r(f) = -f**2 + 135*f - 1557. Let t be r(13). Give a(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1171.16 and -3.4516254?\nAnswer: 1167.7083746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10\/(-6) + 0)*-87. Suppose 5*u - s + 40 = 0. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1565, 1999, 2405, 2783, 3133?\nAnswer: 3455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -278 - -273. Sort s, 3, -15\/4.\nAnswer: s, -15\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of 523*o**6\/15 + 4885*o**3\/6 + 27*o**2 + 15*o. Differentiate g(t) with respect to t.\nAnswer: 12552*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**3 - j**3 + 0*j**3)*(280 - 68 + 675).\nAnswer: -1774*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (315\/36)\/1*(72\/(-20))\/9.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 m, and 1 z when three letters picked without replacement from {y: 3, u: 4, z: 2, k: 3, a: 2, m: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 180 + -177. Let u = -47\/285 - -3\/95. Which is the biggest value?  (a) q  (b) u  (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**4 + 8*y**3 - 20*y**2 - 24*y.\nAnswer: 4*y*(y - 2)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00093866706 rounded to six dps?\nAnswer: 0.000939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -215 + 133. Let b = t + 81.9. What is the second smallest value in -3\/7, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + 2*sqrt(11))*3)**2*5 - (-3 + sqrt(110)\/(sqrt(160) + sqrt(160)*2 + sqrt(160) - sqrt(10))).\nAnswer: -sqrt(11)\/15 + 1983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 2*l + 6 = -5*j, -16 = 4*j - 5*l. Let c = -3 - j. Let f be c\/2 + (-3 - -15505). What is f rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 5:55 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 PM and 2:28 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 2*h - 10 = -6, 3*h = 4*a + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 243195 is divided by 120725.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 + -554. Let p = l - -619. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 337?  (a) -0.68  (b) -3\/8  (c) -2\/3  (d) 0.06  (e) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 865507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t**2 - 2*t**2 + t**2 + 3*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from {k: 5, h: 3, r: 2, w: 6, o: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 + -1022010?\nAnswer: -1022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of -4*w**3 + w. Suppose 4*n = -o + 19, -24 = 4*o + n - 5*n. List the prime factors of v(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 minutes before 9:48 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(12\/7))\/l**(3\/4))\/(l**31\/(l*l**(3\/5))) assuming l is positive.\nAnswer: l**(-4321\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -351 - 54. Suppose 5*v = d + 49. Suppose 5*h - 2 - 13 = 0, 5*n - 386 = -2*h. What is the remainder when n is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4c143 (base 13) in base 12?\nAnswer: 69600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, -1, 0.4, 2759, 5, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fcfcefgegeoycycoegyf. What is prob of picking 1 e and 1 g?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67883354 to the nearest integer?\nAnswer: 8239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -16*s**2. Let n(m) be the first derivative of -m**2 - 464. Give n(y(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*z**3 + 11*z**3 + 12*z**3 - z.\nAnswer: 18*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(2299)*-2*4 - (-5 + sqrt(2299) + 1 + sqrt(2299) - sqrt(2299)))**2 + -5 + -3.\nAnswer: -792*sqrt(19) + 186232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1aa499e - -5?\nAnswer: -1aa4999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3518112 divided by -4\nAnswer: 879528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -540*q - 671. What are the prime factors of u(-22)?\nAnswer: 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j**4 - 4*j**4 - j**4)*(11*j - 11*j + 17*j) + (-j**2 + 3*j**2 + 0*j**2)*(-11*j**2 - 5*j**3 + 11*j**2) + 0*j**5 + 2*j**5 - 3*j**5.\nAnswer: -45*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 12340000 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3\/5, 6, 10\/21, -0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 11086, 44338, 99768, 177382, 277186?\n\"Answer: k**3 + 11083*k**2 - 4*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -3*u. Let o(k) = -8*k**2 + 5*k. Let q(m) = m**2 - m. Let j(c) = c - 14. Let a be j(13). Let t(v) = a*o(v) - 5*q(v). Calculate t(b(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -399, 3, -1, 389.\nAnswer: -399, -1, 3, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21021260 and 16817008?\nAnswer: 84085040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/64 of a tonne?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of z**5\/5 - 3*z**4\/4 - 2*z**3\/3 + 6*z**2 - 8*z + 13. Let t(v) = 0. What is v?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11\/2 > 4.18536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/14 and 16\/2579.\nAnswer: 36106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - 0 - 18\/2. Let v(w) = -11*w**2 + 28*w**2 - 6*w**2 + 17 - 12*w**2 - 8*w. Let b be v(y). Calculate the highest common divisor of b and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 35 = 5*f, 0*f + f = 2*r - 10. Is (30\/f)\/(3\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-130)\/20*(-59364)\/(-407303)?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 764147 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t**3 - 5. Let a = 298 + -199. Suppose 3*b = -4*s + 20 + 5, -3*s = -12. Let l(m) = -a*m - 2 + 99*m - m**b. Determine 5*l(n) - 2*v(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a factor of 27093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 2*u + 20 = 0, -l - 4*u = 7 - 3. Suppose -l*s = -0*s - 4. What is the smallest common multiple of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 + -1)*1*19. Suppose -m = -6*m + 40. Let l = c - m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 8:01 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 3161 = -3217. Does -1.9 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + 3*i + 0*i)*((11*i - 17 + 17)*(3*i**2 - i**2 - 3*i**2) + (3 + 3 - 4)*(-5*i**3 + 8*i**3 - 2*i**3)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 - 3*y**2 + 586*y + 1176. Calculate z(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(117)*2*-4 + -3*(-2*sqrt(117))**2 + 0.\nAnswer: -1405 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*m = 26*m + 76. Let w = 44 + m. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fzofwzoffsfooko. What is prob of picking 1 w and 3 o?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/1471, -7\/10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of -h**6 + 3*h**4\/4 - 2*h**3\/3 - 5*h**2\/2 + 155. What is the third derivative of x(b) wrt b?\nAnswer: -360*b**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74670 rounded to the nearest one thousand?\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lcgfjln. What is prob of sequence nc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of -3\/20*f**5 + 0*f - 1\/60*f**6 - 2*f**2 + 5\/2*f**3 + 7\/24*f**4 + 0. Is h(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 2 + 4 + -3 - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.2104 + 1342.2104. Put -4, f, 0 in descending order.\nAnswer: f, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + 407252735?\nAnswer: 407252741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1)\/w**(1\/7)*w\/(w**5\/w)*w\/(w\/((w*((w*w**(-1\/4)*w)\/w)\/w*w)\/w*w)) assuming w is positive.\nAnswer: w**(-67\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 - (-60)\/15)*10. Solve -10 = 4*j + w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-6)\/16)\/(3\/(-12)) and (2\/(-10))\/((-504)\/(-7070)) + 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -3*f**2 + 61*f + 47. Calculate r(29).\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -97, -956, -3273, -7768, -15161, -26172?\n\"Answer: -120*s**3 - 9*s**2 + 8*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 AM and 9:30 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = -5*z + 9, 43*z + 15 = -5*w + 48*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mro when three letters picked without replacement from ormorrmmm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(-14) - 12\/105. Let z = 0.1 - -6.9. Put z, 3, a in descending order.\nAnswer: z, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 4*c - 2. Let o be g(4). What is the units digit of (-3*(-1578)\/(-27))\/(o\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96175.28m to millimeters.\nAnswer: 96175280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -326 times 57\nAnswer: -18582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*2*sqrt(288) + sqrt(288) + 2 + (-1*sqrt(288)*-2 + (-2 + sqrt(288))*-1)**2.\nAnswer: -12*sqrt(2) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 11\/2 of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 15 - 6. Let h be 0*(-2)\/(b - -1). Solve -4*d + 8 = -h*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/415771 and -44\/7?\nAnswer: 2910397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**3\/9 - 580*q**2\/3 - 388*q - 1748\/9.\nAnswer: 4*(q - 437)*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -83470 >= -83470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(153)*1 + sqrt(153))*-4 + -2*sqrt(153)*1)*-5)\/((sqrt(900)*-2)\/(-2*sqrt(144))).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4.8 in -1\/3, -2, -1\/8, -6.3?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8\/7 or 116?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -92 - 13?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**2)**(-20)\/((i*i\/i**(-1\/9))\/i**(-1\/4)) assuming i is positive.\nAnswer: i**(-1525\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (17 - 3) + 8 + -72 + 3 + (-3 - 10)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*h = -2*h - 26. Is 18 a factor of h + -11*(-182)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fffn when four letters picked without replacement from fnfnffnnfffn?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/91099669 and -51\/1336?\nAnswer: 728797352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**4 + 2*x**4 - x**4 + 3*x**4 + 2*x**4 - 6*x**4 + (2*x**2 - 2*x**2 + 2*x**3)*(4 - 4 + x))*(-427 - 142 + 71).\nAnswer: -996*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (136\/1428 - (-134)\/(-84))*6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/36 of a day in seconds?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 5*t = 95440010, 15*t = 19*t - 8. What is v rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28086226 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 37*k = -5*x + 116, -x - 3*k = 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 724*q**2 + 760*q**2 + 933*q**2 - 1233*q**2.\nAnswer: 1184*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, x: 1, m: 1, f: 2, w: 1, j: 5}. What is prob of picking 1 j, 1 f, 1 m, and 1 w?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*x**3 - 206 + 206.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + -2. Let v = 3.2 + f. Let w = -74\/135 + 4\/27. Which is the biggest value?  (a) v  (b) 4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 2*l + 91 = 0, 1 - 10 = 3*l. Suppose -c = -5*w - 4*x, 4 = 2*w - 2*x - 10. Solve w*d + 2*t = 25, d - 3*t + 2*t - 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-4\/3)\/(b*b*(b**(-6)*b)\/b*b))\/(b*b**(-2\/3))**(-2\/43))\/((b*b*b*b*b*b\/(b**0*b)*b*b)**(-2\/163)*b**(-6)\/b**2) assuming b is positive.\nAnswer: b**(205393\/21027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-3)*t\/t**(-1\/4))\/(t\/(t*t**(-2)\/t))**(-30) assuming t is positive.\nAnswer: t**(353\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 11020039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 4*q**2 + 5588*q + 804586. Calculate p(-163).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6\/31 - -73\/217. Put 0.3, -0.4, y in descending order.\nAnswer: 0.3, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -4, -5*g + 0*g - 1018 = 2*w. Suppose 6 = 2*c, -220 = 2*r - c - c. Let s = r - g. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 6.577965kg?\nAnswer: 6577965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (34\/8)\/(50\/6000)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/1156450 and -56\/275.\nAnswer: 12720950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = c - 4*v + 16, 0 = -4*v + 4. Let x be (3\/3)\/((-3)\/(c\/3)). Solve x*d + 2 = -0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 1149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -14, -0.075, 0, -1?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 89 - 6396349209.\nAnswer: -6396349120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 420\/18 + 2\/3. Let q(t) = t - 2. Let v be q(5). Suppose -w = -v*h + h. What is the remainder when 22 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12692 + -7764. Suppose 11*p - g = -0*p. Let f = p + -300. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4857 + -4750. Suppose -4*k + 48 = 12. What is the remainder when g is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 2 - 5 + (2 - 3 + 3)*(-3 + 6 - 4))*(2 - 6 + 3)*(-119 - 82 + 8*x - 7*x) as j*x + g and give g.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7*2\/(-4))\/(2604567\/20388)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -1349*o + 323. Suppose 10*t - 37*t + 0 + 162 = 0. Let d(x) = -25*x + 6. Determine t*n(h) - 323*d(h).\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 479927 divided by 37?\nAnswer: 12971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -265 + 261. Which is the closest to 0.4?  (a) -3  (b) m  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**4 - 112*s**3 + 371 + 385 + 387 - 1136 in the form l*s**4 + p*s + j*s**2 + h + w*s**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 0.4519219ms?\nAnswer: 0.0004519219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 3*o = 7 + 5, 0 = -2*y + 5*o - 12. Which is the third smallest value?  (a) -4  (b) y  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -34 or 23554?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 2)*(-640)\/140*(-21)\/(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 502726 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1709599180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1847, 3356, 4865, 6374, 7883, 9392?\nAnswer: 10901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/20*(-5)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of x**7\/1400 - x**6\/200 - 4*x**3\/3 + x. Let c(w) be the second derivative of r(w). Let c(j) = 0. What is j?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6692361.\nAnswer: 3, 13, 101, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.4773 rounded to 1 dp?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 + 10*p - 5. Let f = -414 - -404. Calculate j(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -q**2 + 348778*q + 6278328 = 0?\nAnswer: -18, 348796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 5, x: 9, j: 3, d: 2}. Give prob of picking 2 d and 1 j.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + (3*(sqrt(1872) + 1) - sqrt(1872) - (1*2*sqrt(1872) + sqrt(1872))) + (-1 + sqrt(1872) + -3)**2 + 2*sqrt(1872) + 0).\nAnswer: -504*sqrt(13) + 11328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a + 3*a + 0*a)*((1 - 2*a - 1)*(4 - 3 + 0) - 3 + 3 - 2*a + 0*a + a - 2*a + (5*a - 3*a - a)*(4 + 0 - 3)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/(-100))\/(-3)*-110*27\/27.\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, 44, 79, 126, 191?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of 0*l + 0*l**2 + 2\/3*l**3 + 2. Let g(t) = t - 2*t - t. Calculate w(g(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 630 - 639. Sort -2, s, -5 in increasing order.\nAnswer: s, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 - 9*g - 9. Let i be m(-7). Let u = i + 2. Let f(w) = -w**3 + 15*w**2 + 35*w + 8. What is the remainder when f(17) is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3349148*b*m**2 - 202*b*m + 2*b - 3*m - 35 wrt m.\nAnswer: -6698296*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4021651139 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -7, 4, 2\/9, 346?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 303830 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 778?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.96 - 20.66. Let c = 20.7 + y. What is the third smallest value in c, 0, -26?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d - 2 + 5*d - 2*d + (-1 + 1 + 2*d)*(-3 - 2 + 4) + 1 + d - 1 - 3*d + 11 - 11 + 4*d - 3*d - 3*d.\nAnswer: -5*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7110655 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124723.\nAnswer: 191, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 22213925 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 AM and 8:57 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2488, -4982, -7476, -9970?\n\"Answer: -2494*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -72377 by -461.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 293 + 275 = 0. Let d = 55 - 35. Suppose 0 = -2*g - 3*g + d. Solve 0 = x*i - 1 + g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 376\/11 - 34. Suppose -5*p = -5*v + 25, 355*v - 6 = 353*v - 2*p. What is the third biggest value in v, n, -1\/3, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/2*5\/(31770\/4). Let b = -187447\/6354 - j. Find the common denominator of b and -59\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14*c**3*s + 47*c**3 + 1027*c + 793*s wrt s.\nAnswer: -14*c**3 + 793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 + 54*j - 357. Suppose 7541*i - 540 = 7550*i. Give o(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91 + 68 + (2 - -12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -4*q**5 + 12*q**4 - 14*q**3 + 10*q**2 + 24*q - 10. Let z(j) = -j**5 + j**4 + j**3 + j**2 + j. Let g(n) = u(n) - 6*z(n). Factor g(o).\nAnswer: 2*(o - 1)**3*(o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2\/3 + 308716*v - 71479176492.\nAnswer: -(v - 463074)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 2*l = -13, 3*l = 5*l + 4. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36314 and 8576.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16 + 21. Suppose -5*j - 20 = r*u, j + 10 = -u - 3*u. Which is the closest to -0.5?  (a) 0.3  (b) j  (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -37, 3, -15, -2, -5, -1 in descending order.\nAnswer: 3, -1, -2, -5, -15, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, s: 1, b: 11, r: 6}. What is prob of picking 3 r and 1 k?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 8857*l. Let a(b) = 656*b. Calculate -68*a(z) + 5*r(z).\nAnswer: -323*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -427*h = -532*h + 210. Solve 5*l = 3*d + 3, 0*l + 1 = -h*d + 3*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(4\/11)\/b)\/b**3)\/(b*b*(b*b\/((b\/b**4)\/b)*b)\/b*b)**48)**(-3\/11) assuming b is positive.\nAnswer: b**(14376\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1292281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-42 + 2 + 0)*(-624*c + c + 61*c)*(-4*c + 6*c + 0*c) to the form h*c**2 + i*c + w and give h.\nAnswer: 44960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 55.851 + -56. Let u = w - -0.049. Put -1\/26, u, 0.5 in decreasing order.\nAnswer: 0.5, -1\/26, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -207 and -26.\nAnswer: 5382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1849 + -1846 - (-13 + 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.26 in -68, 2, -4, 0.4, -4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -54\/4915 and 17\/5.\nAnswer: 4915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(5)*3 + sqrt(5) + 3)**2.\nAnswer: -8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28.73 - -38.93. Let a = b - 0.66. Let i = -72 + a. What is the smallest value in i, 5, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(9)\/sqrt(3))*2.\nAnswer: 2*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1920.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2544 = 41*b + 371. Solve -7*s - b + 46 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + 3\/(6\/4). Suppose -3*b + f = -467 - 100, -c*b = -3*f - 751. Let a = b - 101. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(-6)*-12*-30. Let g = b + -236. Let w be 2\/9 + (-112)\/18. Put -4, g, w in decreasing order.\nAnswer: g, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4752780 to the power of 1\/2, to the nearest integer?\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.4 - 0.3. Let u be (-3)\/(-3 + 6) + 10. Suppose 5*v + 294 = -u*v. Sort s, 3, v in descending order.\nAnswer: 3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 5957*u - 89159. Calculate v(15).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**4*f**(16\/3))**32 assuming f is positive.\nAnswer: f**(896\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 16, 3, 1.\nAnswer: -5, 1, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 5 - 2*n**3 + n**3)*(-5*n + 2*n + 4*n) + (-2*n + 2*n + 3*n**2)*(-6*n**2 + 2*n**2 + n**2) as m*n**4 + a + z*n + d*n**2 + b*n**3 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/150 and 87\/118.\nAnswer: 8850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 122 = 26. Let c be ((-2)\/(-8))\/((-2)\/x). Suppose -7*i = -c*i - 28. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3\/7*s - 45\/7*s**2 + 18\/7 + 9\/7*s**3 + 15\/7*s**4 = 0. What is s?\nAnswer: -2, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 137904.\nAnswer: 413712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 18772*n - 35047.\nAnswer: 18772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26117 - 26117 - 6653*i.\nAnswer: -6653*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -7*l - 4. Let s be 2*-3*2\/4. Let v be k(s). Calculate the greatest common factor of v and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 1 = 2. Let x be 4 + ((-9)\/3 - l). Suppose -567 = -3*h + x*z, -5*h + 761 = -h - z. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -1\/9, 4\/9, 6, 0.5, -2701 in decreasing order.\nAnswer: 6, 0.5, 4\/9, -1\/9, -0.5, -2701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4336882, 8673760, 13010638?\nAnswer: 17347516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 2*v**4 + 284*v**3\/13 + 890*v**2\/13 + 600*v\/13 = 0.\nAnswer: -5, -12\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 28489932 divided by -3?\nAnswer: -9496644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 5*z - 208 = 0, 4 = -5*z + 24. Suppose -g = -4*g + t. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f = -12*f + 273. Suppose -f - 29 = -8*h. What is the highest common divisor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7737 + -3.86989.\nAnswer: 7733.13011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((31\/(-155))\/(10\/(-6)))\/(3\/10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of 497*u**4\/24 + 13*u**3\/2 + 112*u**2. Is p(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 1. Let x(j) = 2*j**2 - 17*j + 14. Let k be x(10). Let n(g) = -g - 11. Determine k*r(a) + 4*n(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of k**3\/3 - 2*k**2 + 11*k + 13. Let c be x(5). Solve -4*m - 5 = -i - c, -14 = -3*m - 5*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**4\/9 - 22*j**3\/3 + 70*j**2\/3 - 214*j\/9 + 8 = 0. Calculate j.\nAnswer: -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 650 and 18395.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 61b1 (base 13) to base 6\nAnswer: 142251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of -6*k**2 - 77*k - 50 + 8*k**2 + 6*k**2 - 24*k**2. What is the derivative of v(l) wrt l?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -50389725060655211.10000069 + 50389724850423441. Let p = o - -210231772. Let c = 1.9 - p. What is c rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -7963*h - 8. Let f(n) = -5*n + 2. Calculate -5*f(z) - x(z).\nAnswer: 7988*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + -1.99. Let w = 0.15532 - 0.1453188. Let o = w - c. Round o to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.049 less than -34.86?\nAnswer: -34.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uueueee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - -1 - 0)*4. Let s be (29 + -13)*26\/h. Let b = s + -50. 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: Which is the second smallest value?  (a) -1  (b) 51  (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, l: 1, j: 6, a: 4, z: 4}. Give prob of sequence jz.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -245\/57 - -12\/19. Sort 5, -1, g in descending order.\nAnswer: 5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4 >= 4.67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, 5, -1.2, 0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*r**2 - 2*r**2 + 16*r**2.\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 5241, 5257, 5275, 5295?\n\"Answer: b**2 + 13*b + 5227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -5*((-2)\/(-20))\/(17\/(2754\/9))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -808305\/59 or -13700?\nAnswer: -808305\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wfwwwfggwwgwg. Give prob of picking 3 g.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12039, 24086, 36143, 48210, 60287?\nAnswer: 72374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (-6 - -2 - -5) + -1. Suppose i*s = 37 - 25. Suppose -2*g = s*g - 1136. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*f - 16*f = 5*i + 28, -i = f + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/1457652 and -53\/12663.\nAnswer: 13118868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -63 + 31 + u + 42 as o*u + h and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, r: 3, f: 3}. What is prob of picking 2 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -14365+-2\nAnswer: -14367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 8, 52 = -4*t + 6*t - 4*x. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.613393ml?\nAnswer: 0.000613393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3746830681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -6*j + 6. Let c(p) = -p + 1. Let m(i) = -5*c(i) + k(i). Let f = 32 + -44. Let z(h) = 14*h - 12. Give f*m(q) - z(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 - 10*x - 8. Let n be b(0). Let d(m) = -m + 19. Calculate the remainder when 131 is divided by d(n).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 6*q**2 - 4*q + 3. Let i be s(1). Solve -p - 4*f = -5*p + 12, 5*f + 5 = -i*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of 3*v**5\/20 - 17*v**4\/6 + 11*v**3\/6 + 16*v + 1. Factor y(b).\nAnswer: b*(b - 11)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -58 - -34. Let o = -222 + 199. Is o not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -7*t**2 + 2. Let x(o) = -o**2 + 5. Let z(q) = -14. Let s(f) = 5. Let h(k) = -4*s(k) - z(k). Let m(p) = 5*h(p) + 6*x(p). Give n(m(v)).\nAnswer: -252*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003139 rounded to five decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nffnnunuff. What is prob of sequence un?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y + 665 + 1265 = 0. What are the prime factors of y?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3173, -6347, -9521, -12695, -15869, -19043?\nAnswer: -22217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 74805.1ml?\nAnswer: 74.8051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 17 or 4\/19?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8219187*h**3*j**2*n**2 + 2*h**3*j**2 + 2*h**2*j**2*n + 2*h**2 + 19*h*j**2*n**2 - 3*h*n - 317*j**2*n**2 + j**2 - n wrt h?\nAnswer: 49315122*j**2*n**2 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 136684721?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 14) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z + 12. Let y be 1\/(6\/4)*12. Let u be n(y). Let p be 1*3\/(-18)*4. Which is the closest to 1\/2?  (a) 1\/3  (b) p  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-14)\/(-3))\/(-7))\/((-7)\/(-63)*6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10152403 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 4 + 4*l - 13*l - 5 + 2.\nAnswer: -9*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 1275*r - 5. Let x(b) = b - 3. Calculate 2*w(s) - 4*x(s).\nAnswer: 2546*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*3*(sqrt(7200) - ((sqrt(7200) - (2 + sqrt(7200) + sqrt(7200)) - sqrt(7200)) + 0 + sqrt(7200))))**2.\nAnswer: 17280*sqrt(2) + 1036944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + q + 2*q)*(-156*q**2 + 63*q - 123*q + 60*q) + 10*q**3 + 2*q**3 + 4*q**3.\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 50020323 (base 6) in base 13?\nAnswer: 3a1427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 145090 by 5.\nAnswer: 29018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p + 3. Let y(n) = 5*n + 28. Determine 6*k(v) + y(v).\nAnswer: -v + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 624 and 440818456.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zhzqwgq. What is prob of sequence qhzw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**3*s*s**(-4))\/(s*s**(-4\/3)*s*s**(-2)))**(-16))**(1\/2) assuming s is positive.\nAnswer: s**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1404139393 to the power of 1\/3, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 5.9*-1.9\nAnswer: -11.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 + 21 = 33*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 255371006*t. Let s(p) = 2*p**2. Give s(j(l)).\nAnswer: 130428701410904072*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 30 + 2b78a?\nAnswer: 2b7ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 3769*h - 6446*h - 2960*h in the form d*h + p and give d.\nAnswer: -5637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2202011211 (base 3) to base 7.\nAnswer: -313441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - 2*p - 4*p)*(p**3 - p**3 - 2*p**3) - 2*p**4 + 2*p**4 - 3*p**4 - p - 2*p**4 + p.\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-150 + 36*a**2 + 150)*(-61*a**3 + 274*a**2 - 274*a**2).\nAnswer: -2196*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 4 = 3*b - 10, b - 5*l = -22. Let z = 3 - b. Differentiate -s**3 + 2*s**3 - 2 + z wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*f - 9*f + n = -9, -22 - 3 = 5*n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.2 - -2. Let y = -0.2 - d. Let h = -16 - -16.4. Which is the second smallest value?  (a) 4\/5  (b) y  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -24*h - 52. What is the tens digit of a(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34386463 to the power of 1\/3, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2\/227 - -4337\/2724. Calculate the common denominator of g and -113\/1896.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7737\/182269 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1713675301 from 674853.\nAnswer: -1713000448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1355\/20 + (-6)\/8. Suppose 6*p - 2*p - q = x, 2*p + 5*x - 39 = 0. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e and 1 u when four letters picked without replacement from uueeeaeausueeeuau.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 187681*t - 1876814. What is z(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*v + 5*v - v)*(-90 + 90 - 10*v)*(3*v**2 + v**2 - 5*v**2) as q*v**2 + b*v**3 + g*v**4 + c*v + x and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 - 4*z + 6. Suppose -4*n - 20 = -0*n. What is j(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -8*h**2 - 3*h + 6. Let w be n(6). What is w rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 4*r**3\/3 - 1660*r**2\/3 + 38628*r + 120900 = 0.\nAnswer: -3, 93, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 5*x = -73, 4*d - 14*x - 44 = -10*x. Suppose s = d + 32. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 17432, 158, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -e4 + 78?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -970240 divided by 242560\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5\/22  (b) -38\/9  (c) -602\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 4.0005171ms?\nAnswer: 0.00000004630228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 54131242 (base 6) in base 12?\nAnswer: 650b22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 4*v - 4. Let d be k(2). Suppose -5*x = -41 - d. Solve -q + 4*q + x = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28 and 206045?\nAnswer: 824180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -9 - -5*(-2)\/(-5). Calculate the common denominator of -121\/72 and (-2)\/t - 801\/(-4032).\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 45204480 to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - j = -23, -3*j + 6*j = 6. Let h(t) be the third derivative of -t**4\/12 + 11*t**3\/3 + 112*t**2. Calculate the remainder when h(k) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 72533 - -84a?\nAnswer: 73282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + 7*r + 3758037, -22*q + 2*r = -23*q + 751621. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6176870 rounded to the nearest 10000?\nAnswer: 6180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3191 is divided by 97.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*o - 66 - 94 = -9*o + 4*p, 5*o + 79*p = -3219 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l**2 - 3*l - 6. Give m(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g**3 - 5172327*g + 5172327*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.893 - -1.3\nAnswer: 0.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 19\/4 of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the third derivative of y**7\/105 + 17*y**6\/120 + 4*y**5\/15 + 6*y**2 + 4*y. What is the third derivative of x(g) wrt g?\nAnswer: 48*g + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 3 and 3862931578.\nAnswer: 3862931581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/10)\/(1200\/(-750))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ohnougoonhoohuoufg. What is prob of picking 1 g and 2 n?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2896522ug in nanograms?\nAnswer: 289.6522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 1202965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q = 3*h + 60, -4*q + 22 + 0 = h for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k**2 + 204*k + 1368 = 0 for k.\nAnswer: -6, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 11*r**2 + 244*r - 1625. What is k(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of y**7\/30 - 7*y**3\/6 - 3*y**2\/2 - 4. Let z(t) be the second derivative of l(t). Differentiate z(v) wrt v.\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g + 31*g - 369 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 7c3 (base 14) to base 16\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 20 = -0*t. Let w be t\/(-5)*(-5 - 40\/(-16)). Is 7 a factor of (5696\/80)\/(w\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 453655.3 decades?\nAnswer: 4536.553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2 - 15 = -3*f, 3*c - 3*f = 39. Suppose d = -d - c. Let n(x) = -x - 1. Calculate n(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttppptpmpt. What is prob of picking 2 t and 1 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 - u**2 + u + 1. Let z(f) = -3*f**3 + 2*f + 0*f**3 - 3*f - 2*f**2. Let o(a) = t(a) - z(a). Suppose -21*g - 38 + 29 = 12. Determine o(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 40\/73 + -3565\/511. Find the common denominator of 112\/(-20) - (1 - 0) and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 0, 33, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*k + 1 + 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 340297705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b - 5*b = 5*c + 5, 3 = -3*c + b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -2*i + 6, -681*n - 6 = -678*n. Suppose z - 4*z + 15 = 0. Solve i = a + z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2192.715 nanometers in millimeters?\nAnswer: 0.002192715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3099?  (a) -4\/7  (b) -1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q**4\/4 + 5*q**3\/4 - 5*q**2\/4 - 5*q\/4 + 3\/2 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j - 934 + 1871 - 935 - 2*j**2 - j. Let m = 5 + -3. Calculate l(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + -4 + 4)*3\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -138 in -0.3, -5, 1\/7, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*l - 35532 + 994. Suppose -8*v = -l - 234. What is v rounded to the nearest ten?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 9*d**2 + 26*d - 48. Let f be a(6). What are the prime factors of -10 - 12441\/(-13) - (f + 0)?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36585 = 12*o + 6981. What are the prime factors of o?\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.3 and 1730.8050177.\nAnswer: 1731.1050177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d + 1. Let l be u(-3). Let k be (-112)\/49 + l\/2. Is k >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*y - 38*y + 117*y - 42*y - 7*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*g + 4*g = -36 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 - 153*k - 2291. Calculate a(-14).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 11 + 34. Let i = u - 9. What are the prime factors of -1 + i*3\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5 + 1 + (-2 - -1). Suppose -t*d + 7*d = 26. What is the remainder when 37 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/18)\/(85\/510*1)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 - 7*p + 2. Let d be n(-6). Suppose 24 = 4*u + d. Solve -5 = -2*t + 3*j, -t + u*j - 9*j - 4 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 259*a**2 - 787*a**2 + 264*a**2 + 261*a**2 - 6*a + 6*a. Let n(r) be the third derivative of -5*r**4\/8 - r**2. What is n(p(v))?\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**3*o)\/(o**(-4)*o)*(o**(-1))**(7\/5))**(-27) assuming o is positive.\nAnswer: o**(-756\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -352 + 1d?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + 3\/(-12)*-4. Suppose -2*n - 13 = -d. Let s be (-1)\/(-2)*10\/n. Which is smaller: 0.09 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, v: 4, f: 1, d: 3, i: 1, o: 1}. What is prob of sequence ov?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, v: 1, j: 2, x: 1, q: 2, d: 1}. Give prob of sequence dax.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 797 = -952. Let v = f - 148. Solve 0 = 4*u - v - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-7) - (-30)\/(-7). Let q be ((-2)\/m)\/(4\/(-56)). Let c(p) = p**3 + 7*p**2 + 4. List the prime factors of c(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144689887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 122636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(-1))\/((-18)\/(-30)*-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 4*y = -9694, y + 9721 = 2*d + 6*y. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 32 + -63. Let w = -16 - y. Solve -5*j = -u - w, -2*j + 9 = u + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 30 - 3. Suppose 3*v - 3 = l. Let d(p) = -p**2 + 6*p - 5. What are the prime factors of d(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -186 bigger than -152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -308 - -53. Let j = -167 - n. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of b**3*g*o**3 - 183*b**3*g + 3*b**2*g + 8*b**2*o**3 + 7*b*o**3 wrt b.\nAnswer: 6*g*o**3 - 1098*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 164\/5*u**2 + 2\/5*u**4 + 162\/5*u**3 + 0*u = 0 for u.\nAnswer: -82, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/4)\/((-2)\/4). Suppose 23 = 5*w - 2*n - 0*n, 3*n + 9 = -w. Solve 5 = 5*q, 0 = -2*o + w*q - i + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t**2 + 34*t + 53. Let y be (1 - 9\/5)*540\/(-24). Calculate the remainder when 218 is divided by k(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of a**4\/2 + 1798*a**3\/3 + 1009*a**2\/2 + 2252. What is the second derivative of o(k) wrt k?\nAnswer: 12*k + 3596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -2*u - 5*s + 37, 4*u = -4*s + 36 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 AM and 9:24 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1086*m + 180 = -488*m - 602*m for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of j**4\/12 - j. Let u(h) = 2*h. Calculate f(u(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123528?\nAnswer: 2, 3, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.06 + 0.26. Which is the nearest to y?  (a) -0.2  (b) 0.1  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - (-42)\/(-49))\/((-1)\/(-7)). Suppose -19*f + 2156 = -b*f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + -27 - (20 - 25)) + 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 0 - -2 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-7))\/((-176)\/(-1232)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 + 3)*(2 - 69). Suppose -3*j + 14 = -p. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -0.2  (c) -0.16  (d) -1.5  (e) 6\/139  (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4612230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 115533300 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -96389, -96425, -96461, -96497, -96533?\nAnswer: -96569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3457 is divided by 434.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*r + 4*z - 15, -z + 12 = -4*r. Is 36 - r*2\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 + 8*t**2 - 8*t + 11. Let u be v(7). Let x be 3\/12*0 - -4. Solve -1 = x*h + 4*b + 3, u*b + 3 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 10 from 1448.24.\nAnswer: 1438.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of -3*g**6\/4 + g**4\/4 + 254*g**3\/3 + 8547*g**2. What is the second derivative of c(m) wrt m?\nAnswer: -540*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00018613394 rounded to seven dps?\nAnswer: -0.0001861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 7 = -4*z, -1 = -3*q - z - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 10697870 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3288 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2388, -2387, -2386, -2385, -2384?\n\"Answer: m - 2389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(200) - 5*sqrt(200)*-1)*3 - (sqrt(200) + -3*sqrt(200))*4*1).\nAnswer: 1300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 59, 6483, -4, -2, -74 in descending order.\nAnswer: 6483, 59, -2, -4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(21)\/(sqrt(112) - sqrt(112)*-4).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4588 (base 13) to base 9.\nAnswer: -14327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2753*n**2 - 2. Let w(m) = -11*m**2. Give b(w(u)).\nAnswer: -333113*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*m = g + 94*m + 5, -g + m = -10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-15744)\/1312 - (1\/4 - (6214\/8)\/(-13))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -15*w + 87. Give h(-13).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, u: 2, h: 2, r: 1, e: 2, c: 4}. What is prob of sequence cheh?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(13))**2*-5 + (-3*sqrt(13) + 3)**2 + (sqrt(4719) + (sqrt(4719) + sqrt(4719)*2 - sqrt(4719)))\/(sqrt(363) - (sqrt(363)*-1 + sqrt(363))).\nAnswer: -134 - 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1300, -2599, -3898, -5197, -6496, -7795?\nAnswer: -9094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 147  (b) 4\/15  (c) 1.3  (d) -5  (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 16 = -4*c, -3*q + 0*q - 4*c = -16. Suppose q = -4*x + x. Solve x = 3*i - 4*i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4\/5  (b) 1214  (c) 4\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -780\/211 or -4?\nAnswer: -780\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -159 + 164 - (-6 + 4 + -4 + 45).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5241143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3605, 7193, 10771, 14333, 17873, 21385, 24863?\n\"Answer: -h**3 + h**2 + 3592*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19135 >= 19134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of i**5\/12 + 5*i**2 + 16*i. Let p = 2 + 0. Suppose 0*g = g - 11. Let u(l) = -l**2. What is g*u(o) + p*t(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24\/7 + 202\/63. Let f = 0.1021 + -15.1021. Which is the closest to -1?  (a) 2\/7  (b) q  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51\/(-4)*1\/23*(-5704)\/(-744).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + (-92)\/24)*-2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 1:36 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t - 4. Let c be d(4). Suppose -4 = 4*l, y - l = -0*l + 6. Suppose 0 = -y*z + 2*m + 76, -2*m - 68 = -4*z - c*m. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(637) - 2*(-1 + sqrt(637))) + 4 - (4 + 1*sqrt(637) - -1*(sqrt(637) + 1))) + -5)**2.\nAnswer: 168*sqrt(13) + 5749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((6 - (-187)\/(-33)) + 1)\/1. Factor -14\/3*t**3 + 0 - g*t**4 + 0*t + 2\/3*t**5 - 8\/3*t**2.\nAnswer: 2*t**2*(t - 4)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -18896538 + 3.\nAnswer: -18896535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 562838 divided by 1.\nAnswer: 562838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*c + 5*c + 6*c)*(-12*c + 9*c + 51*c)*(-c**2 + 4*c**2 - c**2).\nAnswer: -864*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 222, 7047\/2, -30?\nAnswer: 7047\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 3 - 2*i**2 + (-2*i**2 + 3*i - 3*i)*(1 + 0 - 3) + 3*i**2 + i**2 - 3*i**2 - i + i - 6*i**2 - 24*i**2 + 13 - 13 as g + s*i**2 + z*i and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 - 3*l + 37. Calculate a(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j**2 + 0*j**2 - 3*j**3 + 0 + 2*j**3 + 0 + (j + j - j)*(4 + 2*j**2 - 4) + 0*j**3 + 0*j**3 + 2*j**3 to w + c*j**3 + l*j**2 + m*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -102, -14, 0.5, 1.5 in ascending order.\nAnswer: -102, -14, 0, 0.5, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**3 - 8*r**2 - 56*r - 64.\nAnswer: 2*(r - 8)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.13 and -1005?\nAnswer: -130.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 370043?\nAnswer: 509, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-4*-1*sqrt(208))**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -165944761302 + 23.22?\nAnswer: -165944761278.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104506 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47, 94, 141, 188?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -750 + 1036. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 90293\/16 - 5638. Calculate the common denominator of f and -97\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3074010 - -43?\nAnswer: 3074053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3*t = -4*v - 24, 2*v = -2. Find the second derivative of 44*g + 19*g**t - 28*g + 26*g - 5*g**5 wrt g.\nAnswer: 280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17780, -17656, -17326, -16688, -15640?\nAnswer: -14080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 781625 and 40729?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m + 224*m - 665 - 852 - 1013 = 0 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167*v - 85*v - 78*v + 43 = -5*w, -3*v + 29 = -5*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 168 divided by -607821.\nAnswer: -56\/202607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 123299 and 54692.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 2 k when three letters picked without replacement from tkke?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -395540, -791077, -1186630, -1582205, -1977808, -2373445, -2769122, -3164845?\n\"Answer: -a**3 - 2*a**2 - 395524*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4537806 (base 10) to base 11.\nAnswer: 261a359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1657*q**2 - 3327*q**2 + 1670*q**2 + 25*q**3.\nAnswer: 25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + 30*g - 2*g)*(0 + 2 - 4).\nAnswer: -58*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 11772587, 11772590, 11772593, 11772596, 11772599?\n\"Answer: 3*x + 11772584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 40*f**2*h**2*u**3 + 3*f**2*h*u**3 - f**2*h*u - 2*f**2*u**3 - 2*f*h**2*u**3 - 2*f*u wrt h.\nAnswer: 80*f**2*u**3 - 4*f*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -268, -536, -804?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 67*w**2 + 2747*w + 2670. Calculate c(-40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 - 35*d - 1236. Give k(-21).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (4 + 6) - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) - ((sqrt(162) - (-1*sqrt(162) + sqrt(162))) + sqrt(162) + sqrt(162) - sqrt(162)))\/sqrt(9).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of j**7\/30 - 5*j**3\/6 - 5*j**2\/2 + 7*j. Let k(x) be the first derivative of s(x). Differentiate k(q) with respect to q.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22 - 9) + -29 + -12 - 14.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5 - -2 - (2 + 1). Find the second derivative of -u - u + u**4 + 5*u + u**f wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 9*k. Let w(o) = -1. Let x(h) = -5*h + 2. Let p(r) = 2*w(r) + x(r). Let s(f) = -6*l(f) - 11*p(f). Let y = -8 + 13. Determine s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 31 + -117244?\nAnswer: -117213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 804 is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -8. Suppose c = -2*k - 5, 0 = -3*l - 3*k - 99. What is the tens digit of (-2)\/3*(l - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -223*b**2 - 3*b + 10. Let d be q(-6). Round d to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**2 + 2*s**2 - 10*s**2 - 15*s + 0*s**2.\nAnswer: -5*s*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -164 (base 16) in base 12?\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8285 and 28?\nAnswer: 231980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -5*q**2 + 2*q - 3. Let a(l) = -9*l**2 + 3*l - 5. Let v(i) = -3*a(i) + 5*s(i). Give v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(180) - (-3 + sqrt(25)\/sqrt(5)))**2 + sqrt(20)\/(3*sqrt(36)) + -1.\nAnswer: 271*sqrt(5)\/9 + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8768153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-37 - 0)\/((8 + -4)\/(-4)). Suppose -39*w + g*w = -68. What is the highest common divisor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -t**4 + 2*t**4 - 5*t**4 - 12*t + 3*t**4 + 12*t + (5*t + 0*t - 3*t)*(t + 4*t**3 - t) - 2*t**4 + 6*t**4 - 2*t**4.\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 - 6*b - 2. Let q be j(-5). Suppose 0 = q*w - 21 - 21. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v. Let r(q) = -3*q**2 + 2*q**2 - 92 + 92. Give r(c(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 588824206 by 289.\nAnswer: 2037454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -141, 60, -7.\nAnswer: -141, -7, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i + 2. Let s(k) = 2*k**2 + 12*k - 12. Let j(u) = 6*c(u) + s(u). Let p(g) = 7*g - 17. Determine p(j(n)).\nAnswer: 14*n**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 76 - 3613?\nAnswer: -357b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**2 + 17*i - 18. Let d be q(7). Suppose 0 = 5*h - y - 49, d*h = -2*y + 11 + 21. Suppose -18*l + h*l + 392 = 0. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1258 divided by -442?\nAnswer: 37\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of -d**3\/6 - 2*d. Let i(f) = f + 2. Let v(n) = -42*n - 112. Let m(o) = 56*i(o) + v(o). Determine m(k(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -5398*m + 2. Let f(i) = 2*i**2. Give f(x(z)).\nAnswer: 58276808*z**2 - 43184*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of p - 1\/2*p**3 + 0*p**5 + 0*p**4 + 0*p**2 + 0*p**6 + 0 - 1\/21*p**7. Find the second derivative of i(a) wrt a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -142210 (base 5) to base 10\nAnswer: -5930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.005?  (a) -1  (b) -3\/5  (c) 1218  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 + 3*f - 9. Let i(g) = 7*g + 190*g**2 - 193*g**2 - 26 - 2*g + 3*g. Give 6*i(b) - 17*o(b).\nAnswer: -b**2 - 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 18\/(-504)*-16*(-14)\/4. Let w(t) = t**2 + 3*t + 5. Determine w(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 52 - 40. Solve 5*d = -d + i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32990 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 3*j - 14 = 0, 6*r - r - 2 = -4*j. Let k(x) = 2*x**2 + x**r - 4*x**2. Let l(y) = -1 - 2*y**2 + 0*y + 2 + y - y**2. Calculate -5*k(g) + 2*l(g).\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.5 - -0.5. Suppose -4*k + 2*x - 6 = 0, -28 = -0*k - 3*k - 5*x. Which is the closest to o?  (a) k  (b) 5  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 6*m**2 + 6*m - 7. Let s be y(3). Suppose 5*d = -b + 21, -7*b + 3*b - d + s = 0. What is the remainder when 26 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/1)\/(4\/6). Let p = q - -4. Let k = p - -2. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3012 (base 4) to base 11.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5\/18 + 11\/9. Determine s so that b*s**3 + 0*s**2 + 3\/4 - 3\/2*s - 3\/4*s**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p**2 - 21*p - 14*p - 45*p.\nAnswer: -3*p**2 - 80*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-190)\/(-304)*(-8)\/20. Suppose -50*f + 43*f = -7. Let g be 2\/3*9\/(-4). What is the third biggest value in 5, x, g, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1507 + 49793\/33. Calculate the common denominator of -43\/333 and h.\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 + 9*x**2 - x - 13. Let o be w(9). Let t = -10 - o. Suppose -3*l + 5*q - 5 = 9, -t = -2*l - 2*q. Solve 0 = -g + 2 + l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(90)\/sqrt(5))\/(1*sqrt(294)).\nAnswer: -6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -169551 <= -169554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/4)\/(1\/(-2)). Let r(f) = -3*f**2 + 4*f**2 + f**2 - f**2 + 114*f**3. Is r(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 447 + -438. What is the common denominator of ((-1)\/18)\/(u*(-11)\/4026) and (-35)\/(-36)*(-16)\/6?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 PM and 8:58 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -354400*y**2 + 215 - 425 + 210.\nAnswer: -354400*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = r + 16, -3*p - 4*r + 2*r = -7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 270 is divided by 402\/2211 - ((-5796)\/33)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.4 + -1.13. Let y = -0.69 + f. Let a = 0.3 - y. Round a to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*r - 20 - 53 = -865 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2662 + -1122. Let w(o) = -n + 1540 + o**2. Let y(j) = 3*j**2 - 3*j**2 - 2*j**2. Give w(y(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16.4 - 16. Let i be ((-2)\/(-6))\/((-2)\/3). Which is the third smallest value?  (a) i  (b) -0.3  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of -5*u**3 + u**2 - 9*u. Let d be a(-3). Let q = 181 - d. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -33 + 51. Suppose 22*l - b*l = 508. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 398 = -5*l - 2*g, 2*g + 2*g - 164 = 2*l. Let n = l - -78. Let c be 30419998\/13 - n*(-3)\/(-39). Round c to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {b: 1, c: 1, h: 2, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g**2\/3 + 18184*g = 0. Calculate g.\nAnswer: -27276\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/249, -2.48, -0.12, 2\/9?\nAnswer: 1\/249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*f*o**3 + 2*f*o**2*x - 3*o**3*x + 4*o**3 - 13*o**2 - 2*o*x wrt o?\nAnswer: -36*f - 18*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*5\/140*8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 7 = -3. Suppose 5*g - 3*w - 2*w + 25 = 0, -g - y*w = -25. Let i be 22 - ((-2 - -3) + g). Solve -i + 6 = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4400203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.25*-0.5\nAnswer: 0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n**3\/2 + 40974*n**2 + 839434338*n = 0. Calculate n.\nAnswer: -40974, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1255)\/(-3514)*(-4)\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -3. Let y(i) = -i**2 + 2*i + 2. Let k be y(h). Let w = -164 - -168. Which is the biggest value?  (a) -0.1  (b) w  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(10\/26) - 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 + 10*h + 16. Give k(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20 + 41. List the prime factors of j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -902*f + 630 = -896*f. What is the greatest common divisor of 420 and f?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k - 3. Let f(c) = -c**2 - 11*c - 14. Give 2*f(i) - 11*n(i).\nAnswer: -2*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is cb52dc (base 14) in base 5?\nAnswer: 3231001040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1044421283.\nAnswer: 23, 29, 269, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -446, -422, -394, -362?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that u**4\/2 + 419*u**3\/2 + 2899*u**2\/2 + 6189*u\/2 + 1854 = 0.\nAnswer: -412, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9.1 + -9.5. Let x = 52.1 - 52.5036. Let s = x - k. What is s rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 89182, 89186, 89190, 89194?\nAnswer: 89198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2.3, -2, 0, 24, -0.11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -46257794*n**3 - 207343842*n**2.\nAnswer: -277546764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = -5*n - 20 - 10, -5*n = -5*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 934*y = -673*y + 318*y - 1289 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 42785 and -0.0318.\nAnswer: 42784.9682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9076314 or -9076313?\nAnswer: -9076313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-3 + sqrt(19))**2 + -2.\nAnswer: -6*sqrt(19) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 10*l + 25. Let n be r(-2). Suppose -n*c + 70 = 20. Calculate the remainder when 57 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 - 9*b**2 + b + 12. Let q be k(-9). What is the second derivative of m**3 - 8*m**3 - 13*m + 4*m**q - 6*m**3 wrt m?\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286914047 to the power of 1\/3, to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 AM and 3:08 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 1346*t + 2706. Calculate the remainder when 30 is divided by u(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 PM and 6:44 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -28, -70, -140, -238?\n\"Answer: -14*x**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 152\nAnswer: 3\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/o**(-20)*o*o)\/(o**13\/o) assuming o is positive.\nAnswer: o**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 10*v + 1. Calculate the lowest common multiple of 2 and f(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 67440 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2 and -480411888172.\nAnswer: -480411888170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*k + 14*k - 19425 = 0. Suppose 7 = 3*a + 1. Suppose 0 = -v - 4*h + 105, 5*v + a*h = -h + k. What is the greatest common factor of 42 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2284*h - 1313*h - 1457*h + 11993*h.\nAnswer: 11507*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 247 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**2 - v + 5. Let s(r) = -5*r**2 + 2*r - 11. Suppose -5*p + 45 = 10. Let y = 131374 - 131371. Determine p*q(c) + y*s(c).\nAnswer: -c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/2?  (a) 0.4  (b) -1  (c) 2\/621  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/12  (b) -3  (c) -12  (d) -2\/3  (e) 0.41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-2)*4576\/9984*120?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1783, -3598, -5447, -7330, -9247, -11198, -13183?\nAnswer: -15202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 786.343.\nAnswer: 78.6343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 at most as big as -118002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 42*g - 5. Let m(z) = 84*z - 12. Calculate 13*h(w) - 6*m(w).\nAnswer: 42*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**2 + 12*k + 24. What are the prime factors of z(-7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**5\/4 + 997*q**4\/4 - 5535*q**3\/2 + 4536*q**2 = 0 for q.\nAnswer: -1008, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 5*z**5\/2 - 95*z**4\/2 + 165*z**3 - 235*z**2 + 305*z\/2 - 75\/2 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**5 + 18*q**4 + 40*q**3 + 24*q**2.\nAnswer: 2*q**2*(q + 1)*(q + 2)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + 0 - (-1 - (1 + 5) - -9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1377) - sqrt(1377)*3)*-1 - (sqrt(136) + 4*(sqrt(136)*-2 + sqrt(136)))\/sqrt(8))**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j + 2. Suppose 0 = 2*g + g. Let z be n(g). Suppose 0*t - 11600 = -z*t. Round t to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-16)\/6)\/((-4)\/(-108)). What is the tens digit of a\/(-5) + 4\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.188, -67\/3, 1?\nAnswer: -0.188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(2 + sqrt(448) + 2) + 3*(5 + 0 + sqrt(448) - sqrt(448)) + -2)**2.\nAnswer: 560*sqrt(7) + 11249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 less than -1107?\nAnswer: -1093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -9, -3, -35, 16, -1689 in decreasing order.\nAnswer: 16, 0, -3, -9, -35, -1689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -11 or 111.81?\nAnswer: 111.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1979299*q**4 - 3*q**3 + q**2 - 51934196*q?\nAnswer: 47503176*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q**1)**(-2\/49))**(-16))**35)**(-46) assuming q is positive.\nAnswer: q**(-7360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (40325\/(-2690) - -3) + 12. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.013 - -0.013111. Round p to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 7 + 3 = 0. Suppose -11 + d = -3*s. Solve 0*v + 0*v**s + 1\/2*v**4 + 0*v**2 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-696)\/(-3190) - (17 + (-1079)\/65).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f. Let v(s) be the third derivative of 0*s**3 + 0*s**4 + 0 + 0*s + 4*s**2 + 1\/20*s**5. Give v(d(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6471758219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 PM and 1:24 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*f - 3*y + 13 = -5*f, -y + 5 = 2*f. Solve -3*b + 4 = -5*g - 6, 2*g = f*b - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, -1\/86, -1\/4, 4.\nAnswer: -1\/4, -1\/86, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 1)*(-y + 2*y + y) + 2*y + 0*y + 2 + 5.\nAnswer: 6*y + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2988595361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.1803 + 0.0103. Let k = 8.17 + q. Which is the nearest to 4\/3?  (a) -2\/13  (b) k  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2106202 and 713.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.94445 litres in millilitres?\nAnswer: 944.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -63*i**2 - 2343*i + 2343*i + (2*i**2 + 2*i**2 - 6*i**2)*(2 - 1 + 1) - 4*i - 2*i**2 + 4*i as l + k*i**2 + p*i and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 98891, 198731, 298571, 398411, 498251, 598091?\n\"Answer: 99840*k - 949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -p**2\/2 - 9587566*p - 45960710902178 = 0.\nAnswer: -9587566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*c - 966708 + 967099 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 21, 247\/9.\nAnswer: -4, 21, 247\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1012232122 (base 4) in base 12?\nAnswer: -11b78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 0 + -9 + 1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.05 > 2913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1351*r**2 - 1539*r wrt r.\nAnswer: 2702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 23*i. Let q(f) be the third derivative of f**7\/2520 + 4*f**5\/3 - 6*f**2. Let c(v) be the third derivative of q(v). Calculate c(d(m)).\nAnswer: 46*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -202\/3 - -68. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 826 is divided by 117.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (6 + (-11 - -13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -395639*o**2 + 197745*o**2 + 197841*o**2.\nAnswer: -53*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -19.617964 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -4  (b) 0.2  (c) -2\/5  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 0.4, -429, 0.07, -3 in descending order.\nAnswer: 0.4, 0.3, 0.07, -3, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b**3*f**2 + 13*b**3*f + 564360*b**3 + 60*b**2*f**2 + 280*b*f**2 + 26*f**2 wrt f.\nAnswer: 4*b**3 + 120*b**2 + 560*b + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 320\/33 + -114\/11. Put -3\/2, w, -0.1, 5\/2 in descending order.\nAnswer: 5\/2, -0.1, w, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.04 and 545.\nAnswer: 21.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10425252.7 and -1000218.\nAnswer: -11425470.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/(u**(-2\/9)\/u)))**(-30)*(u**(-2\/13))**(-14) assuming u is positive.\nAnswer: u**(1514\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((sqrt(432) - (sqrt(432) + 0)) + -4 - sqrt(432)) + 1 + 0)**2.\nAnswer: 120*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 90\/21 - (0 + 4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -49907 or -49399?\nAnswer: -49399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -5 + 4*w + 3 + w. Let r(m) = -13*m**3 - 11*m**2 - 5*m - 4. Let d be r(-1). Let b be (d\/(-5))\/((-41)\/205). Calculate h(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 46125?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p\/(p\/p**(-3)*p))\/p)\/p*p**(4\/9)*p*p*p**1\/p**2*(p*p**(2\/7)\/p)**14*(p*p**6)\/(p*(p*p**4)\/p*p) assuming p is positive.\nAnswer: p**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 2) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -548*a**2\/7 + 84314*a\/7 + 1716.\nAnswer: -2*(a - 154)*(274*a + 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0057199764 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of -h**5\/20 + h**4\/12 - h**3\/6 - h**2\/2 - 149*h. Let r(q) = -10*q**3 + 11*q**2 - 11*q - 11. Determine 66*g(l) - 6*r(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 76107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 - -1. Suppose b + 2*b + 4*t = -12, -5*b - 2*t - a = 0. Let s = b - -7. What is the remainder when 10 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43563931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (0\/5 - 13) + 34554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -30*g + 33*g. Let n = g - 2. Is 16 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - ((39 - 29) + 0 + (-4 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22 - 12. Suppose z + i = 2*z. Let s be (8 + -9)*(-4)\/z. What is the nearest to s in 3, -5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 4344.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-6)*(1 - 1). Suppose w = -5*o - h + 3, -4*o + h + 6 = -0*h. Suppose -68*j = 4*j + 72. Sort -2, 0, o, j.\nAnswer: -2, j, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(8 - (39 + 3)\/7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*a - 487 - 1316 = -530 + 2052 for a.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.4, 9\/5, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3304*o**3 + 3304*o**3 + 81*o**4 + (2 + 1 - 4)*(0*o**4 + 0*o**4 - 2*o**4) + 3*o**4 + 2*o**4 - 3*o**4.\nAnswer: 85*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**3\/6 + 14654*h**2\/3 + 58619*h\/6 + 4885 = 0.\nAnswer: -1, 29310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 125136 and 8848.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 + 11*o - 3. Let u be w(7). Let v = u - 17. Solve v = -3*z - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t + 3*p = 6, -3*p - 49 = 3*t - 37 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 851 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -83544\/11, 0.5, -6\/73?\nAnswer: -6\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is a - 69511?\nAnswer: -69506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 3 a when four letters picked without replacement from uauafuuuafuaufuu.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*2*sqrt(5)*1.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -h**7\/2520 - h**6\/60 + 13*h**5\/120 - 19*h**4\/3 - 44*h. Let r(z) be the third derivative of q(z). Find c such that r(c) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3194345978 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*u = -4*c - 23*u - 70, -2*u + 86 = -5*c. What are the prime factors of 74\/c + 5 + 9140\/32?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 281980 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 9*j - 660 = 0. Suppose 30*s - 3*c = 29*s + 45, -4*c = 8. Calculate the common denominator of (-2)\/8 - 33\/j and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from snnt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand d - d**3 - 5*d + 3*d + (-2*d**2 - 4*d**2 + 5*d**2)*(-1 + 1 - 2*d) - d**3 + d**3 - d**3 + d - d - 2*d**3 + 3*d**3 - 2*d**3 - 3*d**3 - 3*d**3 + 2*d - 2*d.\nAnswer: -7*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 155, -7, 4, 15, 6 in decreasing order.\nAnswer: 155, 15, 6, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 128 = 35. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 5*o = -30. Let u be o\/3*126\/10. Let c = -66 + u. Which is smaller: c or -23?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 328938345847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**2 - 27415*h - 16196490.\nAnswer: 5*(h - 6021)*(h + 538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 0*g + 31*g**3 + 2*g**2 - 2*g - 33*g**3 to a*g + s + d*g**3 + r*g**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rykggyyryrr. Give prob of picking 1 r and 1 k.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -893*a*i**3*y - 3*a*i**3 - 15*a*i**2*y - 6*a*y - 5*i**2 + i*y wrt i.\nAnswer: -5358*a*y - 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -46.1 + 46. What is the biggest value in l, 5, 9\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.23, 1\/17, -1\/5, -4, -2\/15?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20958 + 21089. Is 131 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/18)\/(10*(-9)\/(-360))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 3*n = 2*v + 118, 5*n = -v - 6. Let g be v*(-1208)\/20 + 8\/(-20). Let d be (0 + (-9)\/6)*g\/5. Round d to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78 - 8*b**2 + 181 - 22*b**3 - 32*b**3 - 13*b**2 - 103.\nAnswer: -54*b**3 - 21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of -11*m**4\/4 + 3*m**2\/2 + 9. What is the second derivative of c(d) wrt d?\nAnswer: -66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 0 + -4 - (-2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 22*u**2 - u - 1. Suppose p = -2*p + 15. Suppose 0 = 4*f - 3*r + 19, -r = -2*r + p. What is the least common multiple of 4 and q(f)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 475*t**2 - 1185*t**2 - 154*t**2 - t**2.\nAnswer: -1815*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 13, -181, -2\/5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -3*u**3 + 41*u**2 + 9*u + 50. What is f(14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 77499?\nAnswer: 154998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*m = 1195 + 29. Calculate the greatest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * 198\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 67.18.\nAnswer: -335.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 4*n + 13 = -p, -4*n = p - 1. Sort p, -8, -5 in descending order.\nAnswer: p, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -0*g + 4. Suppose -8 = v - g*w, -2*v - 2*w + 8 = -0*w. Let c(m) = 0*m**2 - m + m**3 - m**2 - 2 - 4. Determine c(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**3 + 2*u**2 - 26*u + 3. Give h(-5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2302310 and 313055.\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 4*p**2 - 188*p - 600 = 0.\nAnswer: -3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110 = -31*w + 208 + 26 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*t**3 + 66*t - 26*t - 1 - 12*t**3 in the form f + r*t + y*t**2 + p*t**3 and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**17)**(-20\/9)\/(z**20*z\/(z\/(z\/(z*z\/(z\/(z\/(z**(-10)\/z)*z)))))) assuming z is positive.\nAnswer: z**(-403\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 654, 921, 1440, 2337, 3738, 5769?\nAnswer: 8556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-5)\/5)\/2*0. Suppose 2*i + 64 = 4*c, c - 210 = 5*i - 77. Let a = i + 29. Solve 5*u - 4*l + a = 0, m*l + 3*l = 4*u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w + 1. Let f(h) = h**3 + 21*h**2 + 4. Let r be f(-21). Suppose r*p + 2*v - 180 = v, 3*v = -5*p + 225. Suppose 5*a - 14*a + p = 0. Calculate k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -c**4\/4 - 10*c**3\/3 + 11. Let b be d(-10). Suppose b = 5*i + 2*i - 98. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -299*c*o**2 + 536086*c*w + 1639*o**2*w - 918*o**2 - 2*o*w - 15*w - 1 wrt c?\nAnswer: -299*o**2 + 536086*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-9))\/((-48)\/288)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -28901.874 minus -16413?\nAnswer: -12488.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 27 = -g, 4*p - 8*g + 3*g = 19. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -31*b*s*v**3 + b*s*v**2 + b*v**3 - b*v**2 - s - 3*v wrt s.\nAnswer: -31*b*v**3 + b*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -3623\/58431?\nAnswer: -3623\/58431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 133 plus -718?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 201*d**4*r**2 + 2*r**2 + 97*r - 3 wrt d.\nAnswer: 804*d**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fof when three letters picked without replacement from yfppopofoooop.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4318 and 8?\nAnswer: 17272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vs when two letters picked without replacement from sssssssvsevesvssss?\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 + 30. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1310 and 5.\nAnswer: 6550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f - 3. Let t(c) = 2*c + 7. Determine 10*i(p) + 4*t(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 14) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 321\/8, 1\/2, 2\/3?\nAnswer: 321\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -28*q - 3. Let l(r) = r**3 + 2*r**2 + 11. Let i be l(-3). Suppose 2*u - b - 24 = -2*b, b = i. What is the remainder when p(-2) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.003?  (a) 2\/5  (b) 0  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*c - 3*c - 5*c**2 + 2*c**2 - 7*c in the form m*c**2 + t + x*c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 x, 1 h, and 1 s when four letters picked without replacement from {f: 1, x: 5, h: 5, s: 1, r: 3, i: 3}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/170235 and -69\/27742.\nAnswer: 3745170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -842 divided by 4?\nAnswer: -421\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 190*w**3 - 750*w**3 + 192*w**3 + 186*w**3 + 183*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 3 = -3*r + 3*t, 4*t = -r + 7. Suppose 0 = -r*o + 2*o + 17. Is 12 a factor of (2\/(-2))\/((-1)\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.4 + -0.39. Let p = n - 0.1. Let q = p + -3.91. Which is the third smallest value?  (a) 5  (b) q  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 - 0. Let x = 0.9 + 11.1. Let r = 15 - x. Which is the third smallest value?  (a) 1\/4  (b) k  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*f**5 + 3*f**5 + 2*f**5)*(-5 + 1 + 3)*(-4 + 1 - 2).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 706799367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4794918.\nAnswer: 2, 3, 17, 29, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1\/3, -3\/5, -2 in descending order.\nAnswer: -1\/3, -3\/5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0  (b) 0.1  (c) -7.103  (d) 12.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*w = -7*w - 40. Suppose -2*r = -3*r - 2*z - 9, 24 = w*r - 4*z. Let h be (-4)\/(-1)*r\/1. Solve -j = h*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20cd0 (base 16) in base 9?\nAnswer: -224260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2402045010 - 2?\nAnswer: -2402045012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.19 - -3.19. Let u = 13 + -18. Which is the second biggest value?  (a) z  (b) u  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 - -7. Let w(r) = -4 - r**a - 1 - 3*r**2. Let i(n) = -3*n**2 - 4. Let c(z) = -3*i(z) + 2*w(z). What is the derivative of c(t) wrt t?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2264?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 + 4*t**2 - 3*t - 9. Let m be d(-4). Suppose m*h - 86 - 1 = 3*k, -5*h - 5*k + 195 = 0. Let b = h + -34. Solve 4*w + b = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -142\/19, 4, 3\/2, -5, 367?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 3)*(0 + 0 + r) + 13*r + 62*r + 8*r.\nAnswer: 82*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, 2\/1007, -2\/23, 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 165 a factor of 35727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that h**5\/3 + 168088*h**4\/3 + 3865615*h**3\/3 + 6722552*h**2 - 8067120*h = 0.\nAnswer: -168065, -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*-1.0392\nAnswer: 0.10392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**5\/8 - 3*b**4\/2 - 45*b**3\/2.\nAnswer: 3*b**3*(b - 10)*(b + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6262556?\nAnswer: 2, 263, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(32)*-3*6)\/sqrt(8)*-3)\/(1*sqrt(2)*2 + sqrt(24)\/(sqrt(12)*-5)).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 3*n + 0 = -13, -5 = -n. Which is the nearest to r?  (a) -0.5  (b) -1\/3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2471, -4943, -7415, -9887, -12359, -14831?\nAnswer: -17303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 61*f - 2. Let u(y) = 9*y. Let i(b) = -t(b) + 6*u(b). What is i(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u**2 + 7*u + 2. Let h be k(-5). Let b be 1\/4 - (-70)\/8. Let a be ((-3)\/(-1))\/(b\/204). What is the highest common divisor of a and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -332944\/9309 + 1056\/29. Let g = w - -2\/107. Let q be ((-2)\/4)\/((-1)\/(-2)). Which is the nearest to q?  (a) -3  (b) g  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 214 = 199, 5*p - 17005 = 5*q. What is the greatest common factor of p and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rururwwwrwguquw. Give prob of sequence uu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m + 0 + 0 - 15*m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) + -1 + -1 + -2)*-6.\nAnswer: -72*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.35*1.72.\nAnswer: 0.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 3*p**3 - 132*p**2 - 8989*p + 69. Calculate u(-37).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, h: 11, z: 2, s: 5}. Give prob of picking 2 s.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 - 6. Let n be -8*(y\/(-8) - -1). Solve n*z = -2 + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, r: 9}. Give prob of sequence ss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -702 + 3?\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 + 32.775.\nAnswer: 37.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3365 - 3365.5. What is the second biggest value in b, -93, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -29*d**2. Let k(r) = 12*r**2 - 5*r - 5. Let v(i) = -i**2 + i + 1. Let l(w) = -k(w) - 5*v(w). Let z(h) = h**2. Let x(j) = l(j) + 6*z(j). Give x(u(o)).\nAnswer: -841*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 70331697 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 28*a + 80. Let g be o(-5). Let d be g\/(-50) - 12\/10. Solve d = 4*t - 5*t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -58 - -74. Suppose j = 5*y + 2 + 21, -4*y = -5*j + 136. Calculate the remainder when j is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 + 7*f**2 - 4*f + 6. Let q be l(7). Let n = 29 + q. Is 1\/(((-7)\/(-9))\/n) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -513*j = -8576 - 4249 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 - 5*k**2 - 3*k - 3. Let d(t) = 4*t**3 - 21*t**2 - 11*t - 12. Let h(z) = 2*d(z) - 9*n(z). Suppose -v + 4*v = 12. Give h(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a**2 - 124*a + 57. Let x be w(41). Solve 26*v - 22*v = x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 363973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 479017501 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**4 + 34920612*q**3 - 135494349161616*q**2 + 175242429454271023296*q.\nAnswer: -3*q*(q - 3880068)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -530539 rounded to the nearest 1000?\nAnswer: -531000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 941382400 rounded to the nearest 1000000?\nAnswer: 941000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -2*g - 30. Let r(l) = 3*l + 143 - 143. Determine r(c(v)).\nAnswer: -6*v - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (41 + -13 - 13 - 53) + -4?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by 434812\nAnswer: -2\/108703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-18 - (-5 - (0 - -6))) + 15 - -22\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -121\/160 and 75\/56.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 12*b - 6*b + 9 = 0, 3*o = 3*b + 6. Which is smaller: -2\/3987 or o?\nAnswer: -2\/3987","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129*l**3 - 18*l**3 - 67*l**3.\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 - 2*p**2 - 3*p + 7. Let w be k(7). Let y = w + -7162\/31. Let d(v) = v**2 - 14*v + 45. Let o be d(9). Which is greater: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -19*l + 110. Let i(b) = 2*b**3 - 6*b**2 - 5*b + 8. What is the tens digit of i(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k + 33. Let b be p(5). Suppose -19 = 2*w - 5*w - 4*u, -4*w + b = -u. Calculate the remainder when 105 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 465 = 52. What are the prime factors of a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 22*f**2 + 5*f - 3. Suppose 4*d + 14 = -3*s, 19 = -3*s - d - 4*d. Let i be o(s). Let l = i + -62. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 + 8*k + 20. Let l be s(9). What is the nearest to 2\/7 in 1\/2, -0.3, -2, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = a - c, 3*a - 10 = 3*c - c. Let r be 8 - 6 - (-4 + 3 - a). Solve 2*k - k - r = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3866 + 3900. Solve 14*g + k = 34 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-29)\/(-1))\/(4\/32). Let s(b) = -23*b - 523. Let n be s(-24). What is the greatest common factor of g and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24 + 27. Suppose 15 = 5*x - 2*j, -w*x + 20 = 4*j - 15. Suppose t = -x*h + 2*t + 125, -121 = -4*h + 5*t. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.11  (b) -2\/27  (c) -15  (d) 2  (e) -1\/5  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 8872 = -2*z - 4*y, -z = -2*y - 2222. What are the prime factors of z?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 397, 786, 1175, 1564?\nAnswer: 1953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 22, 27, 32, 37?\n\"Answer: 5*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/(-4))\/(78\/(-104)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (t**3 + 0*t**3 + 0*t**3)*(-1 + 2 + 0) + 688*t**2 + 6052*t**3 - 347*t**2 - 340*t**2 as g + v*t**3 + q*t + x*t**2 and give v.\nAnswer: 6053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 323307557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1060109909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:39 AM and 12:28 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 + 25*q + 411. Give h(-12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2 = -1. Suppose -l*c - c = -2*z + 328, -2*z + 5*c + 327 = 0. Suppose 0 = 3*g - z + 49. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-2\/7)*f*f)\/f*(f*f**(1\/12))\/f)**(-35)*(f**1\/(f*f\/f**(-2\/9)))\/((f**(-5)\/f*f)\/f*f\/f**7) assuming f is positive.\nAnswer: f**(-1877\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of 3*n**5\/20 - 33*n**4\/4 + 43*n**3 + 180*n**2 + 20*n + 146. Factor u(i).\nAnswer: 3*(i - 30)*(i - 4)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6123 is divided by 3041?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x. Let y(c) = -52 + 69 + 4*c - 79 - 182. Give y(z(q)).\nAnswer: -8*q - 244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 5*c - 35 = 5*x, -3*c - 6 = -2*x. Calculate the remainder when 1\/((-30)\/(-9) + x) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -28*x**3 + 5524*x**2 + 932336*x - 266832 = 0. Calculate x.\nAnswer: -109, 2\/7, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 476274329.\nAnswer: 17, 28016137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*o - 2*l = -50, -5*o = -5*l - 100. Let j be (-3)\/(-2) - o\/4. List the prime factors of 12*j*(-22)\/24.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = 4*o + 7, 3*z + 1 = -3*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 297924.05 to the nearest one hundred.\nAnswer: 297900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of -r**6\/120 + r**5\/20 + r**4\/4 - 2*r**3\/3 + r**2. Let w be j(4). Let h be 36\/(-30)*(-110)\/(-33). Sort h, -2, w.\nAnswer: h, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1051000 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.8907 - -0.1093. Which is the biggest value?  (a) d  (b) 3\/38  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 328 and ((-246)\/(-3))\/(4 - 0)*22.\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -274 - 1212*k + 2419*k - 1199*k to b*k + f and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0010620813051 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 - 7*x**2 - x - 7. Let n be j(7). Let g = 8 - n. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*y + 6*y - y + (3 + 2 - 1)*(y - 2 + 2).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -21399200 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/3  (b) 0.5  (c) 2\/3  (d) -0.1  (e) -3  (f) -1941\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/18*-1*4\/10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -1323*v. Let d(u) = -5*u. Calculate d(l(s)).\nAnswer: 6615*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*h*n**2*z**2 + 13*h*n**2*z + 648*h*n*z**2 - 2*h*n - 2*h*z**2 - 73*n**2*z + n*z**2 + 2*z wrt n?\nAnswer: 8*h*z**2 + 26*h*z - 146*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 - 102*x - 2306. Let q be d(-34). Solve -3*u + 30 = -5*l, -7*u + 50 - q = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 6*j**2 + 4*j + 2. Let t be i(5). Let f be (-3)\/63*3*-2. Which is the nearest to f?  (a) -3\/8  (b) -1\/6  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2470 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*f**3 - 2*f**3 + f**3)*(1083 - 738 - 510 + (2 - 1 + 2)*(-4 + 0 + 3)) to q*f**3 + k*f + p*f**2 + c and give q.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.3 + 0.3. Suppose 13 = -18*p - 5. Let u be p*(-10)\/(-8)*1. Which is the biggest value?  (a) i  (b) u  (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 4*y = 146, -y = -5*q + 175 - 41. Let v = 0 + 9. What is the remainder when q is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -410 or -496?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/498080 and -32\/173.\nAnswer: 86167840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256664350 is divided by 1568?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 11190003*i - 30. Let j be v(10). What is j rounded to the nearest one million?\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/(-12)*129\/12 + (-63)\/9?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = 132088 - 24064. Suppose -5*q - 25 - 25 = 0. Let k be q\/(v\/6000 + -3). What is k rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -610*q**2 + 47*q - 2.\nAnswer: -1220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39\/((-40365)\/(-46))*-6?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c9d1 (base 16) to base 4.\nAnswer: -30213101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2. Let q be 0 - 5\/15*0. Suppose 7*c + q = 14. Let h(a) = 3 - 12*a**c - 5 + 2. What is j(h(f))?\nAnswer: -144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 14 = -3*q, -4*c - 191*q + 28 = -193*q. Solve 0 = 3*n, 4*l + 3*n - c*n = -20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3017*g**2 + 1812 with respect to g.\nAnswer: -6034*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of ((-9)\/3 + -645)*((-8)\/(-3))\/(-4) and 672?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + (-12 + (-10 - -27) - (3 - -9))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2 + 12*f + 6. Let j be b(-12). Let d(y) = -52 - 51 + 103 - j*y. Let c(k) = 4*k**2. What is c(d(s))?\nAnswer: 144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4171 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*h - g - 3*g, 4*g = -2*h - 4. What is the greatest common divisor of 54 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * 0.22.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 592434 and 54.\nAnswer: 592434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of c**4\/42 - 93*c**3\/7 + 554*c**2\/7 + 1533*c. Factor b(x).\nAnswer: 2*(x - 277)*(x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 489*a*g - 2*a + 51377*g wrt a.\nAnswer: 489*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 61 = -3*m, -m = 4*u - u - 3. Let v be m\/4*(-10)\/3. What is the highest common factor of v and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32367197, -32367185, -32367159, -32367113, -32367041, -32366937?\nAnswer: -32366795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 170, -2643, 0 in descending order.\nAnswer: 170, 0, -2643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 191*i**2 + 10*i - 83. Is o(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 773\/3915 - -2\/783. Let q = -2 + 0. What is the second smallest value in m, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.299 - 120.299. Let x = v + 120. Which is the closest to x?  (a) 4.6  (b) 0.4  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 less than 4545568.1489?\nAnswer: 4545574.1489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 2*c, y - c + 2 = -0. Solve 0 = -2*z + 2*p - 6, 3*z = -0*p - y*p + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 94\/153?  (a) -0.4  (b) -0.1  (c) 10  (d) -1  (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -555, -2364, -5379, -9600?\n\"Answer: -603*h**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -591, -57, -1\/4, -0.4.\nAnswer: -591, -57, -0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -177, -3900, 4 in decreasing order.\nAnswer: 4, -177, -3900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 852*y**2 + 3685*y + 2826. Determine x(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -8*v + 7*v - 1 + 1. Let q = -5 + 6. Let h(f) = q + f - 1 + 0. Give l(h(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 2 r when four letters picked without replacement from {f: 4, r: 8, s: 2, d: 2}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19939981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -86\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 2*c**2 + 16*c - 1. Suppose -3*d - 27 = 3*k, -5*d + 1 - 16 = 2*k. Let p be u(k). What is the highest common divisor of p and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1791167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*1*6*(sqrt(450)*1)**2.\nAnswer: -8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((245\/(-14))\/7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -460*r**3 - 10*r**2 + 7*r - 9. Let i be u(9). Let f = i - -2386096. Suppose 0 = s + 4*s + f. Round s to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 + 42. Let w = 1 - 1. Let y be l(w). Let q = -134 - -140. Calculate the greatest common factor of y and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -135*j**5 + 189*j**2 - 927*j + 717.\nAnswer: -2700*j**3 + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -75486 + 75486 + 191*p - 2 + 2 + p + (-1 - 2 + 4)*(-3*p + 0*p + 4*p).\nAnswer: 193*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24.115 - 43.\nAnswer: -67.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 757 = 2*u, -2*v - 2*u - 137 + 437 = 0. Let d = 293 - v. What are the prime factors of d?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*w, 0 = p + 798*w - 797*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -117\/28 and 67\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/47430 and 7\/6120.\nAnswer: 189720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of i**7\/840 - i**6\/160 + i**4\/24 + 22*i**2. Factor m(h).\nAnswer: h*(h - 2)**2*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -32\/15 and 16\/13719 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 2*k**5 + 1960*k**4 + 491606*k**3 + 5488400*k**2 - 32482208*k - 37480960 = 0.\nAnswer: -484, -16, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3, -12, -1\/45?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, q: 2, w: 3, t: 2, k: 4, v: 4}. What is prob of sequence tqz?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -13*(-4)\/8*8. Suppose -5*s + 2*b + u = 0, -3*s = -0*s + 2*b - 28. What is the tens digit of (((-15)\/s)\/1)\/((-1)\/78)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14.6*0.6326\nAnswer: -9.23596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2 = 2*m. Let b be -3*m\/12*10. What are the prime factors of 62\/b - 3\/(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -1 + 5 - 1 + u. Let n(f) = -1. Let h(l) = 3. Let y(r) = -6*h(r) - 17*n(r). What is -d(w) - 5*y(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19738 is divided by 6313?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 3*x - 39 = 0, -5*x - 29 - 4 = -2*t. Let b = -9 + t. Suppose -2*h + b = -3. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (-20)\/50*-5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -162 - -519364?\nAnswer: 519202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23\/46)\/((-5)\/190).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*j + 706 = -14*j - 398 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mhzbubb. What is prob of sequence bbmz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 12) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 87.6 + 55.4. Is p <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, v: 2, g: 1, w: 1}. What is prob of sequence gw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/45, 0, 2\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-117)\/((-61)\/((-4270)\/315))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 + 8. Let s = f - -31\/3. Solve -1\/3*v**4 + 0*v + 0 + 2\/3*v**3 - s*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 3*u, -5*u - 47690 = -5*g. List the prime factors of g.\nAnswer: 2, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 7*c**3 + 64*c**2 + 13*c + 42. Give j(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*-2*sqrt(70) + sqrt(70) + -1*sqrt(70)*1 + sqrt(70) + sqrt(70))\/(sqrt(50)\/(sqrt(5) - (sqrt(500)*1 + sqrt(500)))))**2.\nAnswer: 252700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/(-6))\/(1\/(-2)). Let x = 12.3 + -13. Let t = x + -2.3. What is the closest to l in 5, t, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:35 AM and 9:30 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t - t - 4*t. Let f(h) be the second derivative of -h**7\/1260 + 5*h**4\/6 + 7*h. Let s(a) be the third derivative of f(a). Give u(s(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from zcwdzczczzczcz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -3  (b) 2\/45  (c) 4  (d) -3\/7  (e) -201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bybbybsssx. Give prob of sequence by.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 3549472.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 12\/((-63)\/(-27)*-6)*49\/14\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -4*f + f, -5*m + 19 = -3*f. Suppose m*t = t - 5*u + 102, -t = -u - 126. Let b = 114 - t. Let v(i) = i**2 + 8*i - 11. Determine v(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -36, -1, 16, -3, 7 in decreasing order.\nAnswer: 16, 7, -1, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 9:33 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-three eighths of a micrometer in nanometers?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, t: 1, w: 1, v: 1, j: 1}. What is prob of sequence twjv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/73631 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10 + 48*f**4 + 25 + 20 - 2*f wrt f.\nAnswer: 576*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1158438 is divided by 8907?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4cb6 (base 14) in base 5?\nAnswer: -412423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 573, 1152, 1731, 2310, 2889?\n\"Answer: 579*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -229, -1669, -5425, -12607, -24325, -41689, -65809?\n\"Answer: -185*h**3 - 48*h**2 - h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 7:32 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1257 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-32)\/48 - (-2)\/(-6)*1. Sort 4, n, -3, 0 in decreasing order.\nAnswer: 4, 0, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-4*(sqrt(288) + 0) + sqrt(288)*3 + -5 + sqrt(288))**2.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*h - 210 = -9*h + 6*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 2*y - 8, 3*y - 8*y + 3*w = 2. Let t(p) = -p**3 + 4*p + 3*p - 3 - p - 2*p. Calculate t(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67656478561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(980)*2)\/((sqrt(80)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of 2551*n**3\/3 + 3408*n - 2466. Differentiate b(u) wrt u.\nAnswer: 5102*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48)\/64 - (-54)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -11*l - 19. Let w(f) = 5*f + 10. Let b(p) = -6*s(p) - 13*w(p). Let v be b(20). Suppose m = -v*m. Solve m = -2*r + 5*x - 10, -2*r + 5 = 5*x - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -2*x**3 - 2*x**2 - 3*x + 3. Let g(z) = z**3 + z**2 + 3*z - 2. Give 2*c(w) + 3*g(w).\nAnswer: -w**3 - w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*y**3 - 9*y**3 - 3*y**3)*(7*y - 21 + 21 + (3 + 0 - 2)*(-3*y + 2*y - y)) to d*y + s*y**2 + j*y**4 + k*y**3 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 3*s = -8, -4*s - 12 = -16. Let k = -143\/5 - -29. Let z = -3 - -2.6. What is the closest to k in q, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(3) + sqrt(3) + 5 + 5 - (sqrt(33)\/sqrt(11) + 2)).\nAnswer: -48 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 47\/(-4*(-6)\/408) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of -m**5\/60 - 2*m**2. Let l(b) be the second derivative of b**3\/6 - 5*b. Give l(n(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2957077\/5162625 - -6\/44125. Find the common denominator of j and -62\/15.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 AM and 7:40 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a microgram in nanograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 372*k + 21*k**2 - 372*k.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 105983500 to the nearest 1000000.\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 287 - 275. Let r(b) be the third derivative of 5*b**4\/24 - 5*b**3 - b**2. Let i be r(j). What is the greatest common factor of i and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*r**4*w**2 + r**4 - 5223*r**3*w**2 + 3*r**2*w**2 - 10826*r*w**2 wrt r.\nAnswer: 96*r*w**2 + 24*r - 31338*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2*w + 2 = 0. Suppose 0 = -2*a + 4. Suppose -f = -6*f. Solve w*t + a = -f*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i**(2\/7)*i))\/i*i*i*i*i*i\/i**(3\/10)*i**10\/((i*i*i**(-9))\/i) assuming i is positive.\nAnswer: i**(1499\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in -12\/7, 3, -2, -12, -4\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-414)\/(-8))\/((-6)\/(-16)). Suppose q - c = -2*q. Let i = q - 33. Solve r + i = -4*b - b, 0 = 4*b + 4*r + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 60 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*x - 1 + 1)*(3 - 3 + 1) + (-4*x + 4*x + 2*x)*(-1 - 5 + 4) + (4*x - x - 6*x)*(12 - 98 - 38) - 14 + 14 + 8*x to i*x + z and give i.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1125369160.\nAnswer: 2, 5, 3863, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/2732 and -89\/338768?\nAnswer: 338768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-35)\/u**(1\/43))**(30\/11) assuming u is positive.\nAnswer: u**(-45180\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -194, 1, 290, 20 in descending order.\nAnswer: 290, 20, 1, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4*-45.490229\nAnswer: 181.960916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + l = -2*h - 2723, 0 = -2*l + 3*h + 1817. Let u = l - -55. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 4 - 1. Let v be b - (1 + (-1 - 25)). Suppose -2*n + 2*u + 16 = 0, -3*n + v = 2*u - 0*u. What is the remainder when 22 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, -1\/10, -1, -83\/2, -0.047?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 AM and 7:06 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**5\/4 - 2969*r**3\/4 - 16683*r**2 - 85253*r - 69312 = 0.\nAnswer: -38, -19, -6, -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 139627663*i - 114759641 wrt i.\nAnswer: 139627663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/4 and 151\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*z + 129 + 113. Suppose -17*k + z*k = 1015. Let l = k + -29. List the prime factors of l.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 - 2*f**2 + 2*f + 1. Let p = -2 - 1. Let s be v(p). Suppose -s*n = -138 - 30. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**5 - 13*d**4 - 19*d**3 + 45*d**2 + 4*d - 20 = 0. Calculate d.\nAnswer: -2, -2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01397489 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 185*v - 182*v - 39 = 0 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 7) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 - (144\/(-324) + 10508\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39 - 20*k**2 + 56 - 15127*k + 15127*k)*(k**3 - 4*k**3 - 4*k**3).\nAnswer: 140*k**5 - 665*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 2 - 20*p**3 + 30 + 18*p**3 to c + w*p**2 + x*p**3 + k*p and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 403938 to the power of 1\/2, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18343 = 1057*i + 16538 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2*f - 5. Let r be a(4). Suppose -4*t - 112 = -4*x, -2*x + 129 = -r*t + 46. Let v = 38 + t. Solve -v = 4*o - p, o + 3*p + 1 = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -o**8\/1680 + o**5\/60 + 2*o**3\/3 + 3. Let v(d) be the third derivative of x(d). What is the second derivative of v(l) wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 - 11*n**2 - 15*n - 34. Let f be j(-10). Let m be (-24)\/f*10\/(-3). Suppose -14 = -m*h - 4. Solve -3*p = -0*c + h*c + 13, c = 5*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-8\/7))**(-4\/25)\/(s**(1\/20)*s*s**(3\/10)) assuming s is positive.\nAnswer: s**(-817\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 53539618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 978058222 divided by -362378.\nAnswer: -2699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 + 2*h**2 + 3*h - 1. Let v be q(3). Let i be v*(1 - 0)*-3. Suppose 2*r = i*r - 4. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3\/11 + 611602*s**2\/11 - 1223198*s\/11 + 611598\/11.\nAnswer: -2*(s - 305799)*(s - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -237 - -219. Let f = 134 - m. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -174, -2448, -8916, -21684, -42858, -74544, -118848, -177876?\nAnswer: -253734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.4 - 3.6. Let w(q) = q**2 + 5*q + 3. Let o be w(-2). Let u be 2\/o + 22\/42. What is the second smallest value in v, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*4\/(12\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/(-8))\/((-2)\/(-12)). Put -3, x, 2\/9 in descending order.\nAnswer: x, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -34*q - 51. Is 17 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.579 + 0.021. Let t = -0.4 - w. Let r = -4 - t. Is r greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 112, 258, 472, 760, 1128, 1582?\nAnswer: 2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*h + 0*h**2 - 4*h**2 + 4*h**2 + 3*h**2 to n*h + j*h**2 + y and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 15*k + 1. Let h(s) = -3*s. Give a(h(n)).\nAnswer: -45*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 10, a: 8, d: 1}. What is prob of picking 3 a and 1 d?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -4*m - 16, -12*m + 17*m = -3*l - 22. Let a = -53 + 45. Sort 2, l, a.\nAnswer: a, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/4206 and 13\/7010.\nAnswer: 21030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2114 + 0?\nAnswer: 2114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 11 = v, -30 = -5*w + 2*v - 12. Solve s + 1 = -f, -s + 0*f - w*f = 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/883755 and -59\/1060506?\nAnswer: 5302530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + q = 5, 4*v = -0*q - q + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 6) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -596998.\nAnswer: -2\/298499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*a = -23*a - a - 15*a + 6688 for a.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 2*p + 8 + 11 - 6. Does 7 divide k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.0196052 take away -1520?\nAnswer: 1551.0196052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 5:38 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 46\/16311 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c - 3. Let w be (-9)\/(-12)*8\/2. Let m be k(w). Solve 2*a = -m*i + 4 + 3, 0 = -i - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -m + 3, 4*h + 5*m = 117. 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 h(d) be the first derivative of d**3\/2 - 5*d**2\/2 - 6*d + 4. Let p(b) be the first derivative of h(b). What is the first derivative of p(f) wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63680094 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2841*l**2\/8 - 2337*l\/4 + 252.\nAnswer: -3*(l + 2)*(947*l - 336)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 170285 (base 10) to base 13.\nAnswer: 5c67b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -2. Suppose -12 = -w*k + 3*k. Suppose 3*j - 4*i + 12 = 0, k*i - 4*i = -2*j + 6. Solve -2*x + 8 + 0 = j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 651 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 6*p - 43. Let g be l(22). Suppose -4*f + 5*h + 95 = -0*h, 4*f - 3*h - g = 0. Find the first derivative of -5 - 3 + 9 + f - 29*a**2 wrt a.\nAnswer: -58*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*a**3 + 3*a**2 + 70*a - 2*a**2 - 14*a**3 - a**2 in the form j*a**2 + u*a + s + k*a**3 and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14706 is divided by 12390?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 4. Let p be 1*(m - 2)\/1. Solve -g - 2*g = p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 8*g**2 + 9*g - 10. Let q be f(7). Let o = 6 - q. What is the smallest common multiple of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-6)*72\/(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from ccccytynjcjyycny?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*o - 89*o + 833 = 0. Calculate the remainder when 297 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92*o - 104300 + 104300.\nAnswer: -92*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of z**6\/120 - z**4\/12 - z**3\/2 - 4*z**2. Is d(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**2 + 4*k + 2. Let p be 3\/(-7) + 99\/(-63). Let t be r(p). Put 1, t, -4 in descending order.\nAnswer: t, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k - 12. Let v be l(6). Calculate the common denominator of -16\/9 and 1*(v - (-89)\/(-2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.8 - -0.5. Let p = o + 0.3. Let r = 177 + -177. Sort r, -2, p in decreasing order.\nAnswer: r, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 125 + 18 + 80*i**4 - 14*i**4 - 7 wrt i.\nAnswer: 264*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 181397, 181400, 181403, 181406, 181409?\nAnswer: 181412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39361887?\nAnswer: 3, 641, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 426 - 124. Let t = a - 282. What is the remainder when 31 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 49002 = 2*k, 145*w = 6*k + 141*w - 147006. Let f be 0 + (-2 - -1) - -12250. Is (2\/6)\/(k\/f + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 - 11. Suppose -3*p = 2*b + 13, 2*b - 5*b = 3*p + 15. Let i be (-1848)\/280 + (-738)\/(-205). Put i, b, g, 1 in increasing order.\nAnswer: i, b, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62 - (-2 - (-65 + 26)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1816 or -1846?\nAnswer: -1846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12\/(-162) + (-26)\/(-351). Solve u - 4*w + 15 = a, -4*w + 2*w = u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -3*b**3 + 9*b**2 + 21*b - 1. Give g(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-4) - 33774\/(-8). Let b = -185529\/44 + w. Find the common denominator of b and (-195)\/(-400)*-4*(24 - 22).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -174.675 + -0.325. Let t = w - -174.6. What is the third smallest value in 0.3, 1\/3, t, 9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-24)\/(((-8)\/6)\/((-8)\/6)). Let r = k - -54. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2*s**2 - 2*s + 7. Let w be k(-3). Let o = 58 - w. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v**2 - 15*v + 40. Let f be d(4). Solve -3*c + 3*o = -f, -2 = 5*o + 23 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-27)\/(324\/(-32)) + -2. Let i = 20\/269 + -17476\/3497. Let q = i - -409\/91. Which is the third smallest value?  (a) q  (b) -0.1  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 7 = -5*d. Which is the second biggest value?  (a) d  (b) 3  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.123474 to three decimal places.\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/3, 1, -1\/9, 0.0011?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.2425499 to 2 dps.\nAnswer: 9.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -66855797485 + 1?\nAnswer: -66855797484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -2\/9  (b) 0.1  (c) 5  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 192 = 36*h. Calculate the least common multiple of 3 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/55460 and -97\/12980.\nAnswer: 610060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22387124*n**4 + 216243*n + 22?\nAnswer: 268645488*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 8*c + 5. Let j be g(8). Suppose 3*o + 13 = -5*x + 2*o, 19 = -j*x - 3*o. Is x*(2 + (-78)\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14*c**6 + 148*c**2.\nAnswer: 1680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39374\/9 - 4383. Calculate the common denominator of -49\/33 and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 897624.\nAnswer: 2, 3, 7, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 29\/2 of a day?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101690 is divided by 203?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = g + 5*t, 0 = -g - 0*g + 4*t + 12. Let u be (6\/8 + 0)\/(108\/432). Factor g*l + 0 + 0*l**u - 2\/7*l**4 + 2\/7*l**2.\nAnswer: -2*l**2*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*p**6*t + 2*p**4*t**2 - 3*p**3 + 15*p**2*t**2 - 2*p*t**2 wrt p.\nAnswer: 1440*p**3*t + 48*p*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2*z + 6. Let x be b(-5). Let i(c) = -5*c - 3. Let q(p) = -3*p + 2. Let j be q(3). Let m(a) = 9*a + 5. Determine j*i(k) + x*m(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-806)\/(-39)*(-3 - 255\/(-65)). Is 20 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 187 - 99 = 22*s. Solve -32*d + 28*d + 5*k - 8 = 0, s*k - 7 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 - 3 = -2*l. Let p be 34\/9 + l\/99. Suppose -2*d + 3*d - 1 = 4*b, 2*d + p*b - 2 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4223680 by 15760.\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -0.1319.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 2*c + 30. Let l(j) = j**3 + 5*j - 10*j + j**2 - 8*j**2 - 4. Let x(s) = 2*s**3 - 7*s**2 - 5*s - 4. Let r(n) = 3*l(n) - 2*x(n). Determine r(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*x**2 - 10*x**2 - 14*x**2 in the form b*x**2 + v*x + h and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 49168697 a multiple of 1190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 212042, 212270, 212500, 212732, 212966, 213202, 213440?\n\"Answer: k**2 + 225*k + 211816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -30767 from 13.\nAnswer: 30780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2 - 789716*v - 155912840164.\nAnswer: -(v + 394858)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/2 - -4 - 166. Let n be z\/920*(-4 - (-40)\/15). Let m = n + 3\/115. What is the common denominator of 35\/3 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(39)\/((sqrt(75) - (sqrt(75) - sqrt(75)*1)) + sqrt(75)).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3506 bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by 2552.\nAnswer: 1\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 420*u - 893 - 945 + 578. Suppose 1\/7*s**u - 1\/7*s**2 + 4\/7 - 4\/7*s = 0. Calculate s.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2692, 2661, 2618, 2557, 2472?\nAnswer: 2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r + 9. Let u(g) = -7*g**2 - 16*g + 14. Let t(o) = -o**2 + 1. Let h(x) = 6*t(x) - u(x). Let k be h(-16). What is z(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 13419 or 626?\nAnswer: 13419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 228045 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10477013, 10477012, 10477011, 10477010, 10477009?\nAnswer: 10477008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6268 divided by 3134.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -11995 less than -11480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5313, -43079, -145739, -345747, -675557, -1167623?\nAnswer: -1854399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - 7. Let r(a) = -3*a + 14. Let z be r(6). Let j(n) = -27*n - 106. Let i be j(z). Solve 2 + i = s*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 317455?\nAnswer: 5, 173, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 2:42 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -41666, -41574, -41488, -41408, -41334?\nAnswer: -41266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -2*n + 6. Find the second derivative of -n*o + 6*o + 4*o + o**3 wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2457131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*f**2*l**2 - 212*f**2 - 86*f*l**4 wrt l.\nAnswer: -4*f**2*l - 344*f*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 30 in increasing order.\nAnswer: -4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s - 5*s - 2*s. Let j(a) be the second derivative of -a**3\/3 - a. Let r be 24\/(-20)*(-30)\/(-9). Give r*c(x) + 7*j(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170*f + 2 = -169*f. Let s = 17235\/44 - 1585\/4. Calculate the common denominator of ((-2 - f) + 2)*101\/24 and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of 4\/9*w**3 + 17 - 19*w + 4\/3*w**2 - 1\/6*w**4 + 1\/45*w**6 - 1\/15*w**5. Let u(s) be the first derivative of j(s). Factor u(i).\nAnswer: 2*(i - 2)**2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1465685 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2064 = 312693*v - 312741*v for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/12936 and -139\/379848.\nAnswer: 4178328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-243)\/(-18) - (-1)\/2 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1841 + 990 - 2933*z - 1168 wrt z?\nAnswer: -2933","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, 54, 5.\nAnswer: 2, 3, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-32)\/(-60)*(-200)\/(-160). Factor -12\/5*b**2 + 8\/5*b + 16\/15 + f*b**3.\nAnswer: 2*(b - 2)**2*(5*b + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 - 9*r**2 + 8*r + 5. Let u be q(8). Let v(w) = 10*w + 130. Let y be v(-13). Sort 4, u, y, -2.\nAnswer: -2, y, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3106336414 from -2257.\nAnswer: 3106334157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 59 (base 10) to base 16\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(312)*-1)\/sqrt(12))\/(sqrt(10)\/(sqrt(5) - (sqrt(30) - sqrt(60)\/sqrt(2))\/sqrt(6))).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*x - 61 - 258 + 2*x**3 + 12*x + 7*x - 63 as h*x + p*x**3 + j + s*x**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1252357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 + 10*u + 2. Let p be g(-9). Let f = p + 9. Find q, given that 0 - 4\/9*q + 2\/9*q**f = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -29*c + 9. Let o(m) = -7*m + 2. Let s(j) = 9*o(j) - 2*x(j). Let t(a) = -206*a**2 - 207*a**2 + 417*a**2. Give t(s(p)).\nAnswer: 100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - n + 12. Let k(w) = w**3 + 7*w**2 + 8*w + 8. Let v be k(n). Suppose 0 = a + v - 27. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -367397 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5\/3  (b) -2  (c) -40064\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.81514 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -450*a*o*y**2 - 2*a*o - 8*a*y**2 - 16*o*y**2 + 2*o - 532*y**2 wrt a.\nAnswer: -450*o*y**2 - 2*o - 8*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkqtkktqtqqkqq. Give prob of picking 1 k, 1 q, and 1 t.\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4\/7, -227950, 11, -0.2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 168 - 178 = 0, 4*f = -5*w - 22 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 13, 28, 45, 64, 85, 108?\n\"Answer: q**2 + 12*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2354 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 5*s = -3*s + 15, -5*s = 4*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -86.7 + -316.3. Let g = f - -402.9999854. Round g to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 320 and 1792?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 3 + 2 + (-2 + 3 + 0)*(2 - 1 - 3))*(-12 + 11 - 2*n + n) to z + o*n and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 - 3 - 1*-3. Let h = 28 - 17. Suppose 9 = d - h. Solve -v*f - d = -7*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 48977 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1169971\/42 + -27854. Let d = j + -16\/7. Let t = 7 + -4. Sort t, d, -5 in ascending order.\nAnswer: -5, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-44)\/(-16) - (18 - (-1533)\/(-84)). Solve -7*m = n - 15*m + 21, -3*n + i*m - 21 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2295740 divided by 5?\nAnswer: 459148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*o**3*s**2 - 7*o**3*s + 61*o**2*s - 2*o**2 + o*s**2 - 6*o*s - 30*o - 31*s**2 - 10 wrt o?\nAnswer: 24*o*s**2 - 42*o*s + 122*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 123340847 to the nearest integer?\nAnswer: 11106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 13, 25, 35, 43, 49, 53, 55?\n\"Answer: -q**2 + 15*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 423960.1 millennia in decades?\nAnswer: 42396010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 7, u: 3, q: 9}. What is prob of sequence tqu?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -6, -4 in descending order.\nAnswer: 2, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/2)\/(4\/12)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1857 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 5*r - 151 = 0, -3486*a + 3*r - 108 = -1744*a - 1746*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -2 - w**2 - w**2 + 8*w**2. Let o(m) be the first derivative of 2*m**3\/3 + 580. What is y(o(q))?\nAnswer: 24*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, -2\/7, -0.3, -1.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 10819 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1924 - -1922.047. Let q = -0.047 + m. Which is the nearest to 2\/9?  (a) -4  (b) q  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -9*j - 1 + 5*j + 8 + 3*j. What is f(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 145 divide 13105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, f: 2}. What is prob of picking 2 p and 1 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1458 and 5022.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + ((-15)\/(-40))\/(2\/16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*k + 1 = -f + 25*k, 9 = -7*f + 5*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -215 greater than -218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -15*w + 11. Let k(a) = 8*a - 6. Let t(j) = 11*k(j) + 6*s(j). Let r(n) be the first derivative of 9 + 0 + 6*n**2 - 11*n**2. What is t(r(h))?\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.16 - -0.16. Let a = 30 - 209\/7. Put a, -2, b, 4\/13 in descending order.\nAnswer: 4\/13, a, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -614 - -606. Is z\/((-96)\/60) - (-11208 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (4*sqrt(72) + 4)*-2)*2.\nAnswer: -96*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/2 + 24\/16. Let a be (-36)\/r*(-2)\/4. What is z in -1 + 12*z**2 - 2 + a*z + 0 = 0?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2*(9 + -12))\/3. Which is the closest to g?  (a) 0  (b) 2  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zztttz. Give prob of sequence tzt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -809 = 32*c - 6793. What is the remainder when c is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 168*v + 9. Let s be (-2 - -1)*-1 + 4. Let c(d) = d + 1. Let i(h) = s*c(h) - z(h). Is i(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5030 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 PM and 6:02 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-12 - 1 - 10)*(-55*k**2 + 69*k - 69*k)*(4 - 1 - 1) to the form h*k + p + i*k**2 and give i.\nAnswer: 2530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 34*x**3 + 93*x**2 + 357*x + 9. Let j be n(-4). Which is greater: -2106 or j?\nAnswer: -2106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 38 + -23. Let u(k) = -2*k + 22. Let s be u(11). Suppose -t = 2*r - 52, s = -r + t + 4*t + f. What is the greatest common factor of 20 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 336443 and 0.2.\nAnswer: 336443.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -572, -1095, -1534, -1847, -1992, -1927, -1610?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -154.6 + 154.3. Sort n, 10, -5 in increasing order.\nAnswer: -5, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -2, -0.6, -3, 159?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -2*m**3 + 74*m**2 - 139*m - 29. What is r(35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*p = 2*m - 82*p - 21, -9*m + 34 = -p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 + -1)\/(8 - 3 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 266 + -203. Suppose -p*k + 56*k - 77 = 0. Let c(t) = t**2 + 11*t. Give c(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 435 and -0.457.\nAnswer: 434.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00170833 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.5  (b) -5  (c) 449\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -117.21 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -359*c**3*p**2 + 2*c**3*p + 349*c**2*p**2 - 4*c*p**2 wrt c?\nAnswer: -2154*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 8712*r + 15747. What is p(-2)?\nAnswer: -1677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*j = -23 - 37 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.19422 and -2414?\nAnswer: 2413.80578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8811 + -58245\/7. Let i = 492 - q. Factor -18\/7*k**2 - 12\/7*k - i*k**3 - 3\/7*k**4 - 3\/7.\nAnswer: -3*(k + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q + 46. What is the tens digit of v(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -23*g**3 + 5845*g**2 - 750*g - 3052. Give r(254).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -11407*h**2\/2 - 943*h - 8672. What is the first derivative of l(y) wrt y?\nAnswer: -11407","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15998 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 12799.5714 seconds?\nAnswer: 0.0211633125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w**5\/4 - 963*w**4\/4 + 64599*w**3\/4 - 1010745*w**2\/4 + 48894*w + 2876220 = 0 for w.\nAnswer: -380, -3, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 208 and 416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from itnbk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.75 + -30.25. Let h = f - -28. What is the closest to -5 in -4, h, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 9:53 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 52*m - 232. What is the hundreds digit of t(31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 3*h**2 - h - 2. Let n = -19133 - -19158. Calculate the lowest common multiple of n and t(2).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7779533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 36 - 11 = 0, -4*l + 948 = 2*x. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 9) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -4*n + 107. What is t(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 279 - 279.4. Which is the third biggest value?  (a) 2  (b) 1  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 5288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1\/2*u - 1\/8*u**2 + 5\/8 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -5*t + 20. Calculate c(14).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (14000\/3)\/((-62)\/39804). Round j to the nearest 100000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40797559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 + 112 = -5*d. Calculate the common denominator of 32\/11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(1584) + -2 + sqrt(1584)))**2.\nAnswer: -384*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4990 + 11012. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 5*v**2 - 5. Let a(p) = p + 4. Suppose 0*z = 2*z. Let m be a(z). Is w(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(13) - 5*-2*sqrt(13)))**2.\nAnswer: -44*sqrt(13) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y**3 - 175*y**2 - 2964*y = 0.\nAnswer: -156, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 30?  (a) -61023\/4  (b) 0.4  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*v + 33*v - 123*v - 160*v)*(3*v + 2*v**2 - 3*v) in the form b*v**3 + q + y*v**2 + r*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 43 and 8213.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4161095.\nAnswer: 5, 19, 43801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63583142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 1. Let p(b) = -b + 1. What is -c(k) + 2*p(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.15231772 and -29?\nAnswer: 28.84768228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n - 5*n - t = 7496, -5*n = 4*t - 12516. Does 83 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 8 + 24 - 5422*v + 5404*v + v**2. Give g(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 0, 0.05, -39 in decreasing order.\nAnswer: 0.4, 0.05, 0, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - -2 - 4590\/(-34) - 1. Let k(g) = 1140*g**3 + 135*g + 135. Let z(q) = -17*q**3 - 2*q - 2. Give b*z(t) + 2*k(t).\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -212*x**2 - 54*x + 10. Let m(p) = 212*p**2 + 43*p - 8. Calculate 4*c(a) + 5*m(a).\nAnswer: 212*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*q**3 + 11*q**2 - 11*q**2 + (4 + 8 - 3)*(-2*q**3 - 2 + 2) in the form p*q + d + a*q**2 + l*q**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.03 - 1.119. Let j = -0.179 - i. Put 4, j, -1\/4 in increasing order.\nAnswer: -1\/4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from cffffffffffffffffff?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/3))**(1\/10)\/(h**3)**42 assuming h is positive.\nAnswer: h**(-3779\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1352456654 to the power of 1\/3, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3844642180309 less than 0.76?\nAnswer: -3844642180308.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 30865*m. Let t(h) = 120*h**2 - 6*h. Give t(o(x)).\nAnswer: 114317787000*x**2 - 185190*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9164.\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) -4\/3  (b) 102  (c) -14  (d) -0.1  (e) -11\/2  (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 30, -h = -60*n + 64*n + 2. Sort 7, 9, n, -5 in increasing order.\nAnswer: -5, n, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 8*l**2 + 6*l + 13. Let k(j) = -7*j**2 - 5*j - 8. What is 4*k(s) + 3*y(s)?\nAnswer: -4*s**2 - 2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 + 84*o - 126. Calculate q(-87).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 - 0. Let m(x) = 9*x**4 + 13*x - 2. Let d(v) = 8*v**4 + 14*v - 3. Let k(s) = c*d(s) - 3*m(s). What is the second derivative of k(l) wrt l?\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -27?  (a) 0.09  (b) -3  (c) -0.5  (d) -4  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 2*z - 76, -2*z + 76 + 100 = 4*n. Calculate the highest common factor of 63 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*f**2 - 38*f**2 - 30*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3119*i**3 + 12*i**2 + 576725*i wrt i.\nAnswer: -18714*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 100.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -59c6 + 15b?\nAnswer: -5868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330 = 14*x + 2584. Let y = -158 - x. Solve 0 = -3*z + 5*t - 5 - 0, -1 = y*z - 4*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*d - 5*d = -2*v + 33, -2*d = -v - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39, -4, 3, -3\/4 in ascending order.\nAnswer: -39, -4, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/2176 and -107\/576.\nAnswer: 19584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - 11211)\/(8*(-13)\/104) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j. Let i(g) = -4*g. Let o(n) = -5*b(n) - i(n). Let h(v) be the third derivative of -11*v**4\/6 - 6*v**2 + 2*v. What is h(o(p))?\nAnswer: 44*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/56 of a week?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/4, 6\/17, -25\/2, -1, 0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2133715 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 - 2*n**2 - 5*n - 4. Calculate r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -g*i*x + g*i - 2*g*x**3 - 4*g*x + 121*g - x**4 wrt x?\nAnswer: -g*i - 6*g*x**2 - 4*g - 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 108, -4, -5.\nAnswer: -5, -4, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -547 - -955. Let u = 22110 + -22076. What is the highest common divisor of o and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**2 - 67896*l - 67899.\nAnswer: 3*(l - 22633)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6, w: 4, l: 7}. What is prob of sequence wf?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of i**3*p**3*r + 2*i**3*p**3 + i**3*r + 413*i**2*r + 252*i*p**3*r + p**2 wrt p?\nAnswer: 6*i**3*r + 12*i**3 + 1512*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, z: 10, q: 3, c: 1, u: 3}. What is prob of picking 2 u?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 8:49 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/5, 1\/12, 619, -2 in ascending order.\nAnswer: -2, -4\/5, 1\/12, 619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -52*d**5 + 715887*d**4 - 151471554*d + 2?\nAnswer: -1040*d**3 + 8590644*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1047021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(72)*1 + -1 + (sqrt(36)\/sqrt(9))\/sqrt(2) + -2 + -5.\nAnswer: -8 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 47*z**4 + 163*z**2 wrt z?\nAnswer: 1128*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3133 divided by 167343.\nAnswer: -3133\/167343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 13*j**3 + 17*j**2 + 27*j + 21. What are the prime factors of a(13)?\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*j - q, -j - 703 + 678 = -5*q. Solve 22*l + 105 + 27 = j for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(280)*-3 + sqrt(280))*-5)\/sqrt(10) + (sqrt(252) - (6*(-3*sqrt(252) + sqrt(252)) - sqrt(252)))\/sqrt(9))**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*o = -9. Let -3*f**3 - 2 - f + 4*f**4 + 4 + 4*f**3 - o*f**4 - 3*f**2 = 0. Calculate f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 124*u**2 - 141*u**2 - 5 in the form p*u + r + g*u**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n + 1026 - 3*n**3 + 2*n**4 - n**2 - 1026 to s*n**2 + w*n**4 + c + o*n**3 + g*n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 373\/156 + -30\/13. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3199\/11 - -291. Let m = 5.6 + 1.4. Let q = 3 - m. What is the third smallest value in t, q, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5 and 195.83.\nAnswer: 200.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 2 + 1)*(4*f - 2*f - 3*f) - f + 3 - 3)*(-4*f + 4*f - 3*f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9741.392t in grams?\nAnswer: 9741392000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 841*s + 442360. Determine q(-526).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 15*u**2 + 326*u + 1040. Calculate o(-18).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v**5 - 600*v**4 + 8832*v**3 - 34304*v**2 = 0.\nAnswer: 0, 8, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 384, 3063, 10326, 24465, 47772, 82539, 131058?\nAnswer: 195621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 40407138 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 233 divided by -6.\nAnswer: -233\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 9*f + 7. Let p be x(3). Let l = -32 + p. What is the hundreds digit of l\/1 + 141 + -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 4:25 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 5, -2.3.\nAnswer: -2.3, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((8\/(-6))\/(-4))\/((-14)\/(-126)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/27 and 29\/49878.\nAnswer: 149634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-21)*w**(-3\/5))**(-12) assuming w is positive.\nAnswer: w**(1296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3*r + 8. What is the units digit of v(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -13, -56, -127, -226, -353?\n\"Answer: -14*h**2 - h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3816 and 212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 4 = -6. Let g(w) = w**3 - 6*w**2 + 7*w - 4. Let r be g(n). Let v = 0 + r. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -656 - -653. Sort -4, t, -5, -24.\nAnswer: -24, -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 585 = 8*m + 272 + 293, -2*k = 2*m - 44 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 + g**2 - g + 992. Let s be c(0). Is s - ((-9)\/(-12) + (-1)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158386667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -111 - -144. What is the remainder when l is divided by 24\/5 - (-1)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 14*a + 39 = 17*a, -29 = -k - 4*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 0*r + 102. Suppose -9 = -3*h + r. What is the lowest common multiple of h and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 PM and 10:47 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(96\/70))\/(14*110\/462).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148844283?\nAnswer: 3, 7, 571, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k*k**(1\/3))**24)**(-36))**(-46))**(-4\/25) assuming k is positive.\nAnswer: k**(-211968\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-11 - 4 - -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000022751751 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 3696 to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98 is divided by 45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3*m + 5*m - 3*m)*(3 + 3 - 4) - 11*m - 9*m + 0*m)*(m - 3*m + 0*m) to the form j*m**2 + v*m + z and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 5*s - 14, 6*n - 4*n + 5*s - 26 = 0. Let h(m) = 4*m. Let q(y) = y. Let i(c) = -h(c) + 2*q(c). Let t(r) = r. Calculate n*i(g) + 5*t(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the second derivative of -z**4\/12 - 9*z. Let l(p) be the third derivative of -p**5\/20 + p**2. Determine l(a(n)).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28 - -23 - (-21 - -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7241425 + 5?\nAnswer: -7241420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42 + 3\/(9\/3) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -14*f**2. Let l(x) be the third derivative of -5*x**4\/12 + 368*x**2. What is c(l(d))?\nAnswer: -1400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3216648?\nAnswer: 2, 3, 101, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 147 divide 11319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 9*b**2 - 84*b + 432. Calculate the smallest common multiple of 15 and r(5).\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13?  (a) -4\/1519  (b) -1  (c) 1  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to -2\/2373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 7:12 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30716 is divided by 240?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 3 = 2*s. Suppose s = 2*d + 4. Let j = 13 - 18. Put j, 1, d in descending order.\nAnswer: 1, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 7*s**4\/2 + 1217*s**3 + 105618*s**2 - 30276*s = 0. Calculate s.\nAnswer: -174, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5*sqrt(192)*-1)**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8943\/(-22)*(-8)\/(-6). Let h = -331 - u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176003651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + s + 1. Let g(t) = -2*t**2 - 4*t - 5. Suppose -4*x + 12 - 8 = 0. Calculate x*g(k) + 3*d(k).\nAnswer: k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3776660940 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2420)*2*-4*3.\nAnswer: -528*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(-4) - (9765\/(-28))\/(-3). Is v less than or equal to -459\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 11 = -5*r, -3*r + 29 = h - 6*h. Solve -2*q = 2*q - r*k + 32, 2*k = q + 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/12, -3, 1 in decreasing order.\nAnswer: 1, 1\/12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 33117\/108109 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/55, 13\/3, 38, 9 in decreasing order.\nAnswer: 38, 9, 13\/3, -2\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 537, 918, 1199, 1380, 1461?\nAnswer: 1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Is 21361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 741 is divided by 90.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1134.97 + 0.7.\nAnswer: 1135.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 8*l**2. Let c(b) = 5*b + 4. Determine u(c(x)).\nAnswer: 200*x**2 + 320*x + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-29 - -18)*(33\/(-12) + 3)*4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2136824454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -209, -441, -691, -965, -1269, -1609?\n\"Answer: -c**3 - 3*c**2 - 216*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (10\/(-3))\/(1\/(-3)). Suppose -13 = -v - 4*y, -2*y + z = 3*v + 1. Calculate the remainder when v is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -666.9168759 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -4*f + 5*f + 2*f**2 - 4*f + 3 + 5*f. Let k = 14 - 16. Give z(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4.662, -11 in ascending order.\nAnswer: -11, -4.662, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 6 - 40 + 13 + 5 + 2*l - 1. Determine u(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -936 smaller than -935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -35 + 63. Suppose 2*o - 6*q = -6, q = 3*o + o - 21. Calculate the least common multiple of b and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-8))\/(((-1220)\/20)\/24644).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2553 + -2553. What is the third smallest value in -1025, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.15356 + -41130.\nAnswer: -41132.15356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of -10 - p**3 - 33 + 54*p**3. Let o(n) = -n**2. Give o(m(d)).\nAnswer: -25281*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -632865*4\nAnswer: -2531460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 + 0)*(-4*j + 5*j + 2*j) - 6*j + j + j + (-j + 4*j - 4*j)*(-2 - 3 + 3) + 3*j - 4*j + 0*j to n*j + x and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c - 1. Let m(u) = 5*u - 4. Let o(k) = -i(k) + m(k). Suppose 5*z = 2*z + 6. What is the units digit of o(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 201383 <= 201410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c**3 - 35*c**2 - 82*c - 12. Let s be w(-3). What is the fourth biggest value in s, 3, 35, -2\/5, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -39, -156, -345, -600, -915, -1284, -1701?\n\"Answer: w**3 - 42*w**2 + 2*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/27776498 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -2.4, 1\/6, -26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -8*y**2 - 2. Let r(p) = -p + 1. Let k be r(-4). Let x = k - 3. Let q be (-21)\/(-4) + x\/(-8). Let o(c) = 7*c**2 + 2. Determine q*h(t) + 6*o(t).\nAnswer: 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - -5. Let a = -9 + y. Sort -0.1, 5, a in increasing order.\nAnswer: a, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1267 - 1267 + 41*v**2)*(0 - v + 0) to i*v**2 + a + o*v + g*v**3 and give g.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -95  (b) 6  (c) -0.1  (d) 23  (e) 1\/8  (f) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -7*d. Let g(r) = 3041*r**2 + 1645. Determine g(a(q)).\nAnswer: 149009*q**2 + 1645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -ab + -276?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 - 3. Solve -4*b = -b - y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 285\/(-38)*56\/(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11705090 divided by 2.\nAnswer: 5852545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6181142233 to the nearest integer?\nAnswer: 78620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2945, 5891, 8837, 11783, 14729, 17675?\nAnswer: 20621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1197046 or -1?\nAnswer: -1197046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(162) + 0 - sqrt(2))*-6.\nAnswer: 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3a6 (base 12) to base 15.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*i - 11*i - 5*i - 5*i in the form m + w*i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/6*(6 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (7320\/(-25))\/((-10)\/125) + 0. Suppose -5*o = -2*v + 1794 - 5424, 5*o + 4*v - d = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 5*a - 8, -14*a = -13*a. Solve v = -j*i + 2*v + 9, -3 = i + 5*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -5, -2, -30, -20, 4 in descending order.\nAnswer: 4, -2, -5, -8, -20, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1.322 or 3\/553?\nAnswer: 3\/553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/((b*(b*b*b\/(b*b*b**8*b))\/b*b*b)\/b*b)*b*b**(-3\/5)\/b)**(-32) assuming b is positive.\nAnswer: b**(-1024\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -82*m + 87*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c**2 - 2*c + 10. Let w(x) = 299*x + 294. Let d be w(-1). Let g(a) = -7*a**2 + 5*a - 20. Give d*m(r) - 2*g(r).\nAnswer: -r**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -68*p**2 + 36*p + 59. Let g(n) = -21*n**2 + 12*n + 20. Let r(b) = 13*g(b) - 4*j(b). Give r(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33.412 times -2\nAnswer: 66.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 11 = -5. What is the remainder when 17 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/2353968 and -157\/468.\nAnswer: 30601584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 70592 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 230161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66.7*2.\nAnswer: -133.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(117) + 2) + 1*sqrt(117)*-6 + sqrt(117))*-6)**2.\nAnswer: 6048*sqrt(13) + 206964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 9863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -106 + 110. Let l be 6*(60\/(-1100))\/((-18)\/10). Let q = -2.03 + 0.03. What is the nearest to 0 in q, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 + 43264*x - 129756. Determine g(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-12)\/(-18)*(-3)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + j + 160 = 0. Let s = -1894 + 1904. Calculate the least common multiple of j and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222*n + 134*n - 5*j = -1951, -n - 5*j = -37 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**4*m*m*m\/m**(-1\/4))\/(m**(2\/5)\/(m*m\/m**6)))**(12\/19))**21 assuming m is positive.\nAnswer: m**(189\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 s, and 1 l when three letters picked without replacement from {p: 1, l: 2, b: 1, s: 2, v: 1, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3665.656 rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -145 + 160. Is (-112128)\/(-30) - x\/25 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x = 221 - 23. Does 33 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*r - 3*v = -46*r - 14, 0 = -v - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7 and -1015498.\nAnswer: -7108486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 104273599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120252464?\nAnswer: 2, 23, 326773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 27 = 11*m. Suppose 0 = -5*s - 5, m*y = -s + 11. Factor 8*k + 42*k**2 - 40*k**2 + 3 - 1 + y.\nAnswer: 2*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -142, -137, -132, -127?\n\"Answer: 5*j - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2801 and 5176248.\nAnswer: 5176248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*v**2 - 2 + 0*v - 16*v**2 - 3*v + (0*v - v - 2*v)*(3*v - v - 3*v) - 2*v**2 + v**2 + 3*v**2 to the form s*v**2 + q + n*v and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 692096.\nAnswer: 2, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -74*t**6 + 400*t**2 wrt t.\nAnswer: -8880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -213 divided by -213?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by 44916.\nAnswer: -7\/44916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 11689 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l**4 + 2608*l**3 + 10384*l**2 + 10368*l = 0. What is l?\nAnswer: -648, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of -g**4\/78 + 34*g**3\/39 + 35*g**2\/13 - 280*g. What is d in m(d) = 0?\nAnswer: -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 8. Suppose 2*d + 50 = t*d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.1 - 2.98. Let n = 0.12 - i. Let o = 5 + -4. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-1\/7)*o)\/o)**(18\/13)*((o**(-2\/21)\/o)\/o)**20 assuming o is positive.\nAnswer: o**(-1588\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19.2 - -19. Let g = 2.5 - 3. Let f = -0.38 - 0.02. Sort g, q, f.\nAnswer: g, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 9044 = 4318. Let d = -1201 - v. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -39\/4 + 10. Let k = 4 + -5. What is the nearest to -0.1 in t, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -53*q**2*s + 6122*q**2 + 111370*q*s - 4*q wrt q.\nAnswer: -106*s + 12244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 - 5*g**2 + g. Let k be y(-5). Let i = k - -5. Suppose 5*h - 36 = -7*b + 5*b, -2*b = 4*h - 30. Solve r - h*r + 20 = i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 947, 1014, 1093, 1184?\nAnswer: 1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000009871255 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11423 is divided by 63?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -21 + 16 - (-71)\/1. Differentiate -65*i + v*i + 10 + 3 wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 48702, 98046, 147390, 196734, 246078, 295422?\n\"Answer: 49344*j - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2. Let c(u) = -63658*u. Determine s(c(z)).\nAnswer: -4052340964*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.005  (b) 2  (c) 4  (d) -1  (e) 48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 332842 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6600593184 a multiple of 502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 4*w + 30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 AM and 9:21 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7059 + 6786203.4?\nAnswer: 6793262.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 - 6. Suppose v = -2*r + 3 + 5. Let j(t) = t**3 - 4*t**2 + 2*t + 5. What are the prime factors of j(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 247.19371 to 1 decimal place.\nAnswer: 247.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 24 + (-496 - -528 - (3 + -49))\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1972509981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5*1 + -1)*1. Let d(t) be the first derivative of t**3 + 3*t**2 + 5*t - 481. Is d(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o + 3872 = 139*o + 48*o. Suppose -m - 1 = -5. What is the highest common divisor of m and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14241697 take away -73?\nAnswer: 14241770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-334)\/(-52)*2 - -1. Let w = q + -848\/65. Which is the third biggest value?  (a) -1\/8  (b) w  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5118 (base 12) to base 8\nAnswer: 21144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 113504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 g when three letters picked without replacement from wvuuguugd.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 711022459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of s**8\/20160 + s**7\/5040 - s**6\/120 - s**5\/20 + s**2. Let g(w) be the third derivative of k(w). Is g(-5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -179 + 178. Let i be (-144)\/(-64) - g\/(-4). Solve i*d - 3*u - 2*u - 14 = 0, 5*d - 4*u = 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.01  (b) -24  (c) 83121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -4*d**2 + 8. Let p be (-4 + (-6)\/3)*1. Let x be g(p). Round x to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 965459 and 30415.\nAnswer: 33791065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 686, 504, 210, -190, -690, -1284, -1966, -2730?\nAnswer: -3570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (k - 4*k + 2*k)*(-167 + 506 + 332)*(-4 + 3 + 2) as q*k + x and give q.\nAnswer: -671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3780428 or -3780415?\nAnswer: -3780428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 4 + 5441*v**3 + 8.\nAnswer: 5441*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 243.2549 litres to millilitres.\nAnswer: 243254.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -33, -65, -97, -129, -161?\n\"Answer: -32*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -f + 7, 0 = 223*f - 227*f + 4*a + 20. Solve 5*x + 4*p - 21 = 0, 2*p = 4*x - f*p - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -u - 2*h + 7, 5*u - 366*h - 5 = -370*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 9408146*g**2 + 9408036*g**2 - 6.\nAnswer: -110*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -54400725 divided by -25\nAnswer: 2176029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(76)*-2*-3.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/3, 1, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 710081481930 + 0.06.\nAnswer: 710081481930.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1357*j**2 - 2 - j**3 + 686*j**2 + 2 + 8*j**3 + 683*j**2.\nAnswer: 7*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-94)\/6 + -4 + 2. Let x = -3213\/59 - -65297\/1770. Let d = x - s. Sort 5, 2\/3, d.\nAnswer: d, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24045 and 1313333?\nAnswer: 4511298855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 3*l - 409 = 0, 0*l + 4*l = n - 207. Let w = 404 - n. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 17 = 2*z, 3*o = -4*z - 18 - 9. Let f be (10\/(30\/27))\/(z\/(-8)). Suppose -5 = -d + 5*s, -3*d - 2*s - f = -61. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/(-20)*15\/(-12). What is the third smallest value in 2\/5, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160481618?\nAnswer: 2, 11, 7294619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 42, -0.1, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 - 11 = 4*k. Suppose z + k = 10. Suppose 5*o + 11700015 = z*b, -4*b - 7*o + 9359985 = -2*o. What is b rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 50.078557 + -0.082657. Let b = m - 50. Round b to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -451680 + 449596.37. Let u = v - -2072. Let d = -0.27 + u. Round d to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from jjjjoojjjooo.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 1 = -2*h. Let y = -2 + 1. Let z(q) = q**3 + q**2. Let u be z(1). Sort h, u, y.\nAnswer: h, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 19 = -2*x + 4*x, 0 = 5*x - 15. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6628 is divided by 46.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)\/(sqrt(55)\/sqrt(5)))\/(sqrt(484) + -4*sqrt(484) + sqrt(484)) + -2.\nAnswer: -2 - sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 PM and 11:29 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/9  (b) 0.21  (c) -3  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1\/6, 11798, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15 in 151, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7 and -12315.\nAnswer: -86205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -1\/3, 3, 7\/12, 0.056, -25\/6, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -4*l**2 + 5*l + 5. Let w(r) = -4*r**2 + 4*r + 4. Let c(n) = 4*f(n) - 5*w(n). Suppose c(h) = 0. Calculate h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 2 - 4)*(-5 + 2 + 5) + 1 + 7 - 2 + 4 + 0 - 7)*(-18*r + 23*r - 71*r).\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5370965?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t - 1. Let n be p(3). Suppose 3*q - 26 = n*q. Suppose -18 = -3*m - z, -4*z = 4*m - 2*z - q. Solve -2*i + 3 = -3*i, 3*s - 27 = m*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h + 4 + 7*h - 1)*(35*h - 32*h - 32*h)*(-2 + 1 + 0).\nAnswer: 87*h**2 + 87*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 - 4*c**2 + 2*c + 7. Let r(v) = v**3 + 2*v**2 + v. Let i(m) = -5*m**3 + 3*m**2 - 7*m - 15. Let k(x) = i(x) + 3*r(x). Calculate -4*k(z) - 9*y(z).\nAnswer: -z**3 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h - 4*h - 2*h)*((3*h - 5*h + 4*h)*(-2 - 4 + 3) - 5*h + 3*h + 3*h).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 3*h + 195 = 5*g, 72 = h + 4*g. Round h to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18 - (0 - 4)\/2. Suppose -3*j = p - s - 5, -3*j + 2*p = -13. Suppose j*z - 5*z - 200 = 0. Is z a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = 3*r. Suppose 2*w = 6 - r. Solve 0 = w*h + 2*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 289473390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -4*y - 32, -4*b + 7 + 1 = 2*y. Let j = -107 + 186. Suppose -b*l + j = -85. Solve -4*n + 5*t = l, 2*t = -2*n + n + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u - 89 + 89)*(105 + 86 - 985*u - 193).\nAnswer: 2955*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5385 + 9393. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1489, 1757, 2027, 2299, 2573?\n\"Answer: p**2 + 265*p + 1223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -262.5578711 + 262.56. Round z to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*o**2 + 28*o + 162*o**2 - 28*o.\nAnswer: 151*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-34)\/51)\/((-8)\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 15, x: 4}. What is prob of picking 4 x?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(448)*-1*3 + -1 + (2*sqrt(448))**2 + (4 + sqrt(175)*2 - sqrt(175) - (5 + (sqrt(175)*-2)**2 + sqrt(175))).\nAnswer: -24*sqrt(7) + 1090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 4*t - 54 + 13, 4*t = -2*b - 26. Suppose -1\/4*l**b + 3456 + 18*l**2 - 432*l = 0. What is l?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from uuuuuutututtuuuttuu.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*p - 261360000 = 12*p. What is p rounded to the nearest one hundred thousand?\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/932 and 149\/84?\nAnswer: 19572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4*(1*sqrt(1573))**2 - (-1 + sqrt(1573) + sqrt(1573)*1 - sqrt(1573))) + -4.\nAnswer: -31459 - 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7261829475.\nAnswer: 3, 5, 541, 178973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 7:04 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.15, -41.42, -3\/2, -3 in decreasing order.\nAnswer: 5, -0.15, -3\/2, -3, -41.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o**3 + 8*o**2 - 9*o - 3. Let x be d(5). Let p be x\/(-35) + 4\/(-5). Solve 1\/3*m**5 + 0*m + 0*m**3 - 1\/3*m**4 + 0*m**p + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27596 times 486?\nAnswer: 13411656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/5 + 2\/20. Suppose -3*v + 5 = -1. Let t be 1 + (-5)\/v - -1. Which is bigger: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 6:38 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3071506 + 3071505.91499917. Let q = w - -0.085. Round q to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47587400633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (-39 + -7)\/(5\/(820\/(-8))) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 + 107*s - 3320. What is c(-132)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92 = -2*r - 2*r. Let s = 12 - r. Let n(p) = -2*p + 28. List the prime factors of n(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -592*-5.432\nAnswer: 3215.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 23502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(((-1)\/(-1)*(-42)\/21)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2198.1 - -2196.989. Round u to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -56 + 63. Let t(a) be the third derivative of -2\/3*a**3 + 0 + 0*a**4 + 2\/15*a**5 + 10*a**2 + 0*a**6 + 0*a - 2\/105*a**r. Solve t(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -289 > 313\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 21\/122, -3581?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 16*u**2 + 94*u - 3. Let d(i) = -19*i**2 - 94*i + 4. Give -5*d(l) - 6*q(l).\nAnswer: -l**2 - 94*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 8*b + 99 = 0. Calculate the lowest common multiple of 31 and b.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/36)\/(40\/18).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*y**3 - y**3 + 3*y**3 + (3*y**2 + 0*y**2 - 2*y**2)*(-12*y + 17 - 17).\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 + 2*x**3 + 7 - 2 - 16.\nAnswer: 2*x**3 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.38 - -0.58. Let g(z) = -z**2 + 2. Let n be 0\/(-1)*(-2 - -1). Let h be g(n). Which is the nearest to 1\/4?  (a) h  (b) u  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 11) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12591*c*o**4 - 2*c*o**3 + 14*c*o**2 - c*o + 2*o**3 - 3435*o**2 wrt o.\nAnswer: -302184*c*o - 12*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -84*p*y + 435*p + 2*y wrt y?\nAnswer: -84*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 78\/19 + -3 - 1. Let f = -23\/38 + v. Let n = -2\/183 + -242\/183. What is the closest to f in -0.2, 0.5, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-75)\/(-10) + -7)*-534. Suppose n + 1912 = -3*n. Let v = a - n. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91375 a multiple of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1011 + -863. Calculate the remainder when u is divided by 84.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u**2 + 12. Let v be o(3). Let r be -3 + (-1 - 1 - v). Let s(x) = 23*x - 8. Calculate the lowest common multiple of 18 and s(r).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30 + -30. Suppose 2*c + 2*c + 20 = t. List the prime factors of (-4)\/8*(c - 7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1078 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 1873 = -0*r + 5*r, r = -4*f + 365. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87671173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45 - 48. Let p = -3.5 - -3. Which is the biggest value?  (a) m  (b) p  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-148 - -164) + (-24 - -2) + 3 + 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 18\/45 + 39\/15. Suppose m*o = 4*o - r - 184, 550 = 3*o - 2*r. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 3 + 1 = -p, 16 = -5*i - 4*p. Suppose i + 4 = -x. Let c(h) be the first derivative of h**3\/3 + 7*h**2\/2 + 6*h + 1. Calculate c(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5910171.\nAnswer: 3, 29, 67933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4*(48\/(-40) - (-3510)\/(-325))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12566 + -12539. Solve h*s + 6*s + 33 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -191 - -206. Let u(g) = -g + 14. Let f be u(9). Suppose w - f*m - 15 = 0, 6*w = w + 5*m + j. Is w smaller than -1\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**2*s*s**(2\/7))\/(s\/((s*s**0\/s)\/s))**(-5) assuming s is positive.\nAnswer: s**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 46\/12 - (-6)\/36. Suppose 4*v = -4, 0*v - 8 = -c*r - 4*v. Solve -r*s = -2*x - 8, 5*x - 1 = 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -548\/1967 - 2\/281. Let z(j) = j + 4. Let t be z(-3). Is t at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + l**2 - l + 1. Let f(m) = 2*m**4 - 4*m**3 + 4*m**2 - 4*m + 19. Let s(y) = f(y) - 4*w(y). Differentiate s(a) with respect to a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 4.116.\nAnswer: -5.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0316659978 to 5 decimal places.\nAnswer: -0.03167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 503658, 503606, 503554, 503502, 503450, 503398?\nAnswer: 503346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, s: 2, l: 2, n: 1}. Give prob of sequence nsls.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -31783, -31558, -31183, -30658, -29983?\n\"Answer: 75*a**2 - 31858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*p**2 - 6*p + 6*p)*(1 - 3 + 4) + (-4 + 5 - 3)*(-2*p**2 - 4*p**2 + 2*p**2))*(-p + 2 - p + 4*p).\nAnswer: 28*p**3 + 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11.0722 - 9.0722. Let r = 2 + 0. What is the closest to r in -4\/5, 2\/9, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.631299mm in nanometers?\nAnswer: 1631299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*n**4 + 0*n**4 - n**4 + (1 - 1 + n)*(232*n - 267*n**3 - 232*n) as p*n**3 + d + z*n**4 + k*n**2 + v*n and give z.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -18397*u - 91966. Calculate v(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - v**2 + 2*v + 2. Let y be j(-2). Let l be (1\/2)\/(y\/12). Let b = 0 + l. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*h = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4.7 and -2895097?\nAnswer: -13606955.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 5*m - 55 = 2*d, 5*m - 15 = 0. Solve 4*f + 40 = -4*x, -3*f = -x + 2*f + d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3254 is divided by 359.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -2  (b) 0.5  (c) -15  (d) -31  (e) 0.3  (f) 2\/9  (g) 2954\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1162 + 1612. Let o be (-3)\/(-3)*i\/2. Suppose -344 = 7*t - o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23951, -47842, -71733, -95624, -119515, -143406?\nAnswer: -167297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -l - 5*x, 0 = -3*x - 4 - 2 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/6*(-6 + 3). Let i(y) = -4*y**3 - 1. Let s be i(m). Solve -f - 6 = -s*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8246143*q**5 + 14501058*q**2.\nAnswer: -494768580*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 149768*d**2*j**2 + 2256*d**2*j + 3*d*j wrt j?\nAnswer: 299536*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2 - 4)\/(-3) - (-2 + -30)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + (-4)\/(-7)*21\/6. Suppose -p*f + 1910 = -1426. Suppose -f = -0*a - 4*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-64) - 18\/112?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -218*f + 2065 = -1859. Factor -3\/2*h**2 + f*h - 54.\nAnswer: -3*(h - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7.9 + -2.1. Let b = -9 - t. Do b and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-88)\/1452)\/(13\/(-1872)*-4).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43183*v = -43119*v + 896 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -520195, -520193, -520179, -520147, -520091, -520005, -519883, -519719?\nAnswer: -519507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 4*w + 2*w**2 + 2*w - 4*w. Let v be s(-5). Suppose l - 2*l - 4 = -5*u, 2*u = -2*l + v. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 4, u - 4*u = p + 4. Let c(h) = 15*h**2 + 2*h + 1. Calculate c(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -41*j**6 - 355*j**4 - 16*j**3 - 254*j**2 - 14072*j.\nAnswer: -4920*j**3 - 8520*j - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 0, 7, -1\/2, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3 - 74*n**2 + 13*n + 10*n - 3 wrt n.\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.7 less than 4636?\nAnswer: 4645.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1025)\/20 + 0 + 1. Let d = y - -51. Let b be (-3)\/11*(-4)\/(-6). What is the nearest to -0.1 in d, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v - 2*c + c + 56, 0 = c + 4. Let f = 699 + -700. Sort -2, f, v, 4 in ascending order.\nAnswer: -2, f, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eveevxegvgvexveivve. What is prob of picking 2 v?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -65*z**4 - 140*z**3 + 45*z**2 + 140*z + 20 = 0. Calculate z.\nAnswer: -2, -1, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5367605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, z: 4, g: 1, l: 1, h: 1}. Give prob of picking 3 h and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one fifth of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 - 7*y - 16. Let j be h(11). Calculate the highest common divisor of 224 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 84450 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 624*l + 3. Let p(y) = -621*y - 4. Calculate -8*i(v) - 7*p(v).\nAnswer: -645*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 27*l**2 - 3*l - 2. Let v be b(-1). Let o be (-18)\/30 + v\/5. Solve -2*u + o = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 11*t**2 - 11*t + 14. Let b be g(-12). Let u be -3*(b + -1)*-1. Suppose 33 + 6 = u*h. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g**2 + 6*g**2 - 4*g**2 + 5*g**2.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 15, -2\/5, 0.3, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1269 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-1\/3)*l*l*l**10\/l*l*l*l\/(l**(-2\/17)*l)*l*l**7 assuming l is positive.\nAnswer: l**(1060\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 20 = -f - 4*p, p + 2 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2381 - 2386. Put j, 3, 29 in decreasing order.\nAnswer: 29, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.132 and 5.74?\nAnswer: -0.75768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102110 (base 3) to base 16.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 PM and 3:55 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 1\/3, -1\/222, 0.21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 5*t. Let n be -1 - (-1 + 4) - t. Is 1\/(24180\/6044 + n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l + 11. Let a be j(0). Let r = a + -8. Suppose 10*u - 12*u + u**r + u**2 + 0*u**2 = 0. What is u?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 8:22 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -290*d*n*q - 33*d*n + 15*d*q - 1888*d - 51*n*q - 2*q with respect to n.\nAnswer: -290*d*q - 33*d - 51*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 99 and 1028632?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/sqrt(3)*-4 + -4 + 2*sqrt(5)*2)**2.\nAnswer: 32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17603 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 6*m - m = 15, 2*a = m - 3. Suppose -5*v + 2*y - 461 = a, -3*v - y = -6*y + 288. What is the tens digit of -9 - v - (-12)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 183*c**2*y**4 - 2*c**2 + 6*c wrt y.\nAnswer: 732*c**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-14)\/(-21) + 8\/(-3). Is 13 a factor of ((-380)\/25)\/i*25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 26 - 4. Let g be 15*7 + i + -7. Calculate the greatest common divisor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 3 = l, 0 = -4*l + p + 4*p + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12638623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.664 + -4.7. Which is the fourth biggest value?  (a) -2\/17  (b) -2\/5  (c) 3\/4  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9683, -19953, -30223, -40493, -50763?\nAnswer: -61033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 6:51 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 568 and 31384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 4*d - 24 = 0, -3*i + 3*d - 8*d + 4 = 0. Let p(s) = 2*s - 5. What is the least common multiple of i and p(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*l + 15*l = -16. Suppose -12*s = -l*s - 2440000. Round s to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 41 and 165458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 4, 0, -787?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/12*2)\/(259\/((-2038071)\/(-122)))\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8 and 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/(-108)*4\/3. Which is bigger: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 63704932?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 11405271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 371 - 204. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, y: 6, n: 1, x: 2, t: 3, a: 1}. Give prob of sequence aygg.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 36.32 + -23.32. Which is the third biggest value?  (a) -6\/13  (b) -3\/2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42312.3 rounded to the nearest 100?\nAnswer: -42300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(704) + -1 + 1 - (sqrt(704) + 1*sqrt(704))*-1.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/(z\/z**7)*(z*z*z**(-12))\/z assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = l - 72. Suppose -l = -5*q + 3*q. Suppose 13 = -g - z + 87, 0 = 3*z - 15. What is the remainder when g is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 3*v + 4. Calculate the remainder when 54 is divided by m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236da (base 14) in base 10?\nAnswer: 86432","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 0*q - 4*q - 2*q + 13. Let g(a) = -5*a + 12. Let o(s) = -6*c(s) + 7*g(s). Let d(y) = y**2 + 4*y - 10. Let u be d(-5). Calculate o(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1760 is divided by 611.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*y + 0)*(-3 + 3 - 1)*(-2 - 3 + 6 + (-3 + 0 + 1)*(-8 + 0 + 2) + (-5 + 2 + 1)*(-2 - 1 + 1) + 4 - 2 - 5).\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 339 a factor of 1155651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8 - -2) + 3 + 0 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -97427\/15 + 6498. Let a = b + -16\/5. Suppose -6*y + 4*y + 2*n - 8 = 0, 0 = -5*n + 15. Which is greater: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*t - 74 + 775 + 832 = -48 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*n + d + 11 + 14, 526*d - 8 = 528*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 310616884.\nAnswer: 2, 3229, 24049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 197 + -770. Let f = x + 579. Let o(p) = -p**2 + 4*p + 7. Give o(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c + 49. Is h(27) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 838890 + 3207970 = 224*d - 1267540. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 698624 - 698643 = 2*i - 3*a, 7*a - 67 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(5)*-4 + (2*sqrt(180) - sqrt(180)))**2 + 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from {y: 5, o: 1, j: 1, t: 2}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 561 is divided by 433.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -452 - 0.030579?\nAnswer: -452.030579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 + 15*n - 4. Let g be k(-15). Let i(y) = 4 - 3*y**2 + 2*y**2 - 6*y**3 - 3 + 0*y**3 + 4*y. Is i(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -865389700 rounded to the nearest 1000000?\nAnswer: -865000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 27265.9ml?\nAnswer: 27.2659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/8*-16*570\/(-152)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 2*y**2 - 2)*(y - y + y**2) - 3*y**4 + 2*y**3 + 16 + 8*y - 8*y to the form a*y**4 + s*y + v*y**3 + m*y**2 + t and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 329998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 25457804 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*l = -103*l + 288. What is the remainder when 212 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 6*g**2 - 6*g + 4*g - g + 3*g**3 - 6 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-123)\/41)\/((-27)\/315*-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*u**3 + 44*u**3 + 75*u**3 + 1 + u**2 - 22*u**3 + u**2 in the form r*u**3 + z + w*u + i*u**2 and give r.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2400172\/5 + -480028. Suppose -96\/5*r - a - 12\/5*r**4 - 53\/5*r**3 - 106\/5*r**2 - 1\/5*r**5 = 0. What is r?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhpnaapnhphphh. Give prob of sequence hn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/4966 and -23\/1528?\nAnswer: 19864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13 - 61*r**3 + 95*r**3 + 2*r**2 - r**2 - r**4 - 32*r**3 + 6*r to the form n + z*r**4 + s*r**2 + q*r + k*r**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -1\/1804903936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 21\/(-5)*29\/1305*-50*9\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (((3 + sqrt(1700) + 1 + -1*sqrt(1700))*3)**2 + 2)*-2)*1.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 36, 44, 56, 72, 92, 116, 144?\n\"Answer: 2*p**2 + 2*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 75077063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-140)\/63)\/(-2)*5\/(35\/126)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1336234*p**6 - 3*p**4 - 193444347*p**2 wrt p?\nAnswer: -160348080*p**3 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/628 and 24\/114139.\nAnswer: 456556","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of 1\/180*k**6 - 1\/36*k**4 - k**2 - 1\/9*k**3 + 1\/90*k**5 + 0*k - 3. Let j(n) be the second derivative of q(n). Factor j(l).\nAnswer: 2*(l - 1)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226 is divided by 95.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2*i**3 + 23*i**2 + 45*i + 3. What is d(14)?\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-420)\/36)\/7)\/((-1)\/18*-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tyyyyyytyty. Give prob of sequence tty.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.008377 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.02861 - 1.038. What is i rounded to four dps?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -328 - 2*t**2 + 328.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -72, -165, -424, -933, -1776, -3037?\nAnswer: -4800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7309 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-2))\/(-18)*21\/((-70)\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4*s = 1462, 47*s - 51*s - 12 = 0. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) 1\/8  (c) 58  (d) 1\/2  (e) 127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w**4 - w**2 - w. Let b(d) = 344*d**4 + d**2 - 2*d + 146. Let z(g) = b(g) + y(g). Differentiate z(c) with respect to c.\nAnswer: 1384*c**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -3 + 3 + 20 - 2*p. Let q be l(-6). Calculate the highest common divisor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22122000 + -12111?\nAnswer: -22211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -47983.056 rounded to the nearest ten?\nAnswer: -47980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 136297561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d73c221 + 4?\nAnswer: -d73c21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3651 - -5407. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81790.\nAnswer: 2, 5, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*y**5 - 98443*y**4 - 400*y**2 - 1194 wrt y?\nAnswer: -240*y**2 - 2362632*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94705.\nAnswer: 5, 13, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -597 - -56b?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(2 + sqrt(1008)*2 + 3 + sqrt(1008)*-1).\nAnswer: 25 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 11:41 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 3*r = 2957, 4*a + 5*r - 4616 = -1619. What are the prime factors of a?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l - 1. Let u(n) = -8*n - 8. Let h = 70 - 56. Suppose 0 = -3*f - 7 + 1. What is f*u(m) + h*c(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 284*l**2 - 1053*l + 17201. Give y(-280).\nAnswer: -1559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-1*sqrt(8))\/sqrt(4)*-5)**2.\nAnswer: 30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 9*t - 13*t = -2, z = -5*t + 12. Let x(o) = 3*o + z*o - 6*o. Let n(c) be the third derivative of 7*c**4\/12 - 7*c**2. Give n(x(s)).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 + -16.4. Let f = h + -12. Sort -0.3, -3\/2, f.\nAnswer: -3\/2, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j**3\/2 - 4304760*j**2 + 3706200341025*j\/2 - 3706183122005 = 0.\nAnswer: 2, 860951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128*m = 72*m + 66*m - 310. Solve -2*i = -m*i + 7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-15600)\/416*(-14)\/(-21)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 254969*-261.\nAnswer: -66546909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3\/5 - 36*l**2\/5 - 9792*l.\nAnswer: l*(l - 240)*(l + 204)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 + 13*l + 14. Let y be a(-12). Suppose -o + 31 = 5*k + y*o, -28 = -2*k + 4*o. Is 6 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of -2*p**3\/3 + 10. Let j(c) = 4*c. What is j(u(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 836 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*b - 1330 = 19*b. Let t = 429 - b. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 10 - (-12 - 14 - 9).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -406, -1, -2\/9, -3 in decreasing order.\nAnswer: 0.5, -2\/9, -1, -3, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.835 + -0.165. Sort 1\/8, -0.2, n, 0 in ascending order.\nAnswer: n, -0.2, 0, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/2)\/(7\/((-126)\/(-24))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 68870312\/9 > 7652256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 81.7?\nAnswer: -163.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes after 6:06 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 + 11*s - 25. Calculate a(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7988725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190) + sqrt(190)*1*2)\/sqrt(10)*-5.\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 3, 2\/7, -71, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 944508.9 decades to months.\nAnswer: 113341068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/11 - 144*a\/11 + 2592\/11.\nAnswer: 2*(a - 36)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllcllqqqlldq. What is prob of picking 1 q and 1 c?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (56\/(-288))\/(4\/(-10)*10\/(-32))\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 5*i - 24 = -6*l, 2*l + 6 = 4*i. Suppose 2*h = l*b + 10, -5*h - 5*b + 3 = -22. Let q = 7 + -2. Solve 0*c = q*r - c + 9, -4*c + 6 = -h*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 160*z = -10272 + 3712 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 15552 divided by -486\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 8*n**2 + 32*n + 20. Calculate f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 15*w = 51. Suppose 5*m - 2*r = -8, -w*m + 4*m + 4*r = -6. Let l = 0.2 + 0.1. What is the second smallest value in m, -4, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -52 + 46. What are the prime factors of (9\/h)\/(-1 + 26\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 - -7. Let o = 95 - 158. Let i be (-2)\/(-6) + 39\/o. What is the nearest to i in q, -2\/3, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8420493 rounded to three dps?\nAnswer: 0.842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 PM and 4:00 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -698 and -48.151?\nAnswer: 33609.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1017\/34 - 432\/17. Let i(f) be the first derivative of -6*f + 3\/5*f**5 + f**3 - 38 + s*f**2 - 9\/4*f**4. Let i(w) = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 - 5*q - 3. Suppose -8 = 2*p - 4. Let b be w(p). Find h, given that -15*h**3 - 37*h**3 + 8 - 8*h**2 + 16*h**b + 36*h = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/5 in 1\/3, 1\/236, -1, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((4 + sqrt(448) + (0 + sqrt(448) + sqrt(448) + 0 - sqrt(448)))*-1 + (sqrt(448) - (1 + 1 + sqrt(448)) - (sqrt(448) + -3 + sqrt(448)*-2)) + 5))**2.\nAnswer: -128*sqrt(7) + 1808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1384 divided by -692\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -197.28442 and -10.\nAnswer: 1972.8442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8179\/9 - -909. Sort 3, n, -3\/2, -7 in descending order.\nAnswer: 3, n, -3\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1446 - 684. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3881 or -3655?\nAnswer: -3655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -544 + -3324?\nAnswer: -4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 66*h**3 - 5*h**2 + h + 3. Let y be r(2). Let i = -5670\/11 + y. What is the common denominator of i and 57\/30 + 3\/3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5498504?\nAnswer: 2, 11, 62483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(((6\/1)\/(-72))\/(29\/87)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*c - 3*b + 19, -1 = -1643*c + 1642*c + 3*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxgxgxxxxxgxxxgxxxx. Give prob of sequence xggg.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.19 in -0.768, 4, -14, 0.3, -1.7, 4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 2*z = 48 - 5, -5*r - 5*z = -85. Calculate the remainder when 1*((-2)\/2 - -26) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 196 and 1918?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 250968 by -125484.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**3 + 444*i**2 + 285*i - 27.\nAnswer: 6*i + 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 6:02 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/((-69)\/(-270)) - -4. Sort k, -0.02, -0.1 in decreasing order.\nAnswer: k, -0.02, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3436*s + 5201*s + 624279 = -4536*s + 2592*s for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -5 + 4. Let i(w) = 2*w - 2. Let n be i(v). Suppose n = 2*z - 0*z. Solve 0 = -z*j + 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of o**7\/42 + 14*o**6\/3 + 137*o**5\/20 - 139*o**4\/6 - 4339*o. Suppose q(x) = 0. What is x?\nAnswer: -139, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/16)\/((-2)\/(-4)). Let w = 3603 - 3599. What is the nearest to p in 0, w, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 + 78*m - 672. Give q(68).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -26*x - 23*x + 17*x as g + n*x and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 127622960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1625?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(1\/7)*q**(-18) assuming q is positive.\nAnswer: q**(-125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + 3*i - 7 - 8, -3*i = -6*z - 15. Let 0*u**2 + z*u + 2\/5*u**3 - 2\/5*u**5 + 0*u**4 + 0 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -5*c. Put -3, -1, 3, c in decreasing order.\nAnswer: 3, c, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -114 - 59. Let m = w - -160. Suppose -58 = 5*a + 2*x, 2*x + 12 = -2*a - 10. Are a and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.91 - -0.09. Let q = -55 - -56. What is the nearest to w in -2\/5, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5826, 5955, 6082, 6207?\nAnswer: 6330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 - 10 = -4*v, p - 4*v + 1 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 224102, 223971, 223752, 223445, 223050?\n\"Answer: -44*b**2 + b + 224145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 215690, 431610, 647518, 863408, 1079274, 1295110, 1510910, 1726668?\n\"Answer: -o**3 + 215927*o - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 + 21. List the prime factors of 12\/q*(-165)\/(-6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -6020, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 14 + 2 = 0. Let x be (-283)\/77 + (-4)\/22. Let u = o - x. Which is the third smallest value?  (a) 0.2  (b) u  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4*u + 2)*(-u - 2*u + u + 3).\nAnswer: 8*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 AM and 5:24 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1197345993 - 51*o - 66*o + 1197345993.\nAnswer: -117*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 228*n**2 - 2*n + 2. Let r be x(1). Suppose -3*t = 5*l - 797, -8*t = 5*l - 11*t - 803. Suppose -232*i + l = -r*i. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 15, -9*k = -14*k - 2*i - 21. What is the common denominator of 1160\/(-16)*(k\/85)\/(-3) and 71\/16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n = -5*n - 65. Let b be (-490)\/(-26) - (-2)\/n. Let x(o) = 19 - b - 2*o**2. Let d(c) = -7*c. Give d(x(f)).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - 4. Let t be 2\/(-3) - (-15)\/36. Let l = 129.2 + -129.2. Which is the second biggest value?  (a) t  (b) l  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 147b (base 12) in base 15?\nAnswer: a9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 4*x - 1053 = 0. Let k = 542 + x. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 12 = 5*n - 40, -5*n + 22 = -3*r. Let a(y) = 4*y**2 + 3*y + 2. Let q(f) = -5*f**2 - 3*f - 1. Let i(o) = -6*a(o) - 5*q(o). Determine i(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.13 < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 25867004 to the power of 1\/2, to the nearest integer?\nAnswer: 5086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**8\/(a*a\/a**1)*(a*a*a**(2\/37)\/a*a)\/(a*(a**(-8)*a)\/a))**(7\/6) assuming a is positive.\nAnswer: a**(693\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x*x**(1\/3)*x)**22*(x*x**(-3)\/x)\/x**(-1\/2))\/(((x*x**(-1))\/x)**(-8\/3))**42 assuming x is positive.\nAnswer: x**(-115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -33 (base 13) to base 16\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*j + 34. Let s be (2 - 121\/33)*j\/35. What is the closest to 9 in s, 4\/3, 0.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (541728\/103356)\/((-4)\/(-58))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -23\/7  (b) -3\/4  (c) 778\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -45*u**3 + 41*u + 11. Let z(b) = -9*b**3 + 8*b + 2. Let k(m) = -2*x(m) + 11*z(m). What is the second derivative of k(d) wrt d?\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 504075 is divided by 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3.4, 2, 704\/9, -0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1313129595730 and -7.\nAnswer: -1313129595737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 205331 is divided by 8194?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wmwktxxttwq. Give prob of sequence kx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/3))**(5\/12)\/(n**(2\/5))**(2\/21) assuming n is positive.\nAnswer: n**(151\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a06 - -10?\nAnswer: -19b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 9:46 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -16921b + -1?\nAnswer: -16921c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1309724695?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 18*1\/100*(-4)\/(-60)*25?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of 30*a + 79\/2*a**2 + 0 - 5\/6*a**3. Let v(d) = -d + 20. Let r(s) = 2*i(s) - 9*v(s). Differentiate r(j) with respect to j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13751*v**3 - 14*v**2 + 7*v + 8.\nAnswer: -82506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 835 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1102\/(-58) + (11 - 1) + (-148)\/(-16). What is the smallest value in -13, 0.123, z, 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((sqrt(2)*-1 + -4)*-5 - sqrt(96)\/(-1*sqrt(3))))**2.\nAnswer: 288*sqrt(2) + 418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -2*z + 10. Suppose t + z*i = -11, 3*t = -2*t - 3*i + 33. Suppose -38 = -4*r + 6. Calculate the lowest common multiple of t and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3320 + 1021033230?\nAnswer: 1021103210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5123.21ml?\nAnswer: 5.12321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + c - c)*(2 + 0 - 3)*(-15 - 6 - 12)*(-10 + 10 - c + (3 + 0 - 1)*(-2 + 2*c + 2)).\nAnswer: 99*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4074\/72451 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 7, e: 5}. What is prob of sequence qqe?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 2 + 1)*(-1 + 1 + 4*t) in the form x*t + u and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + 145*m**2 - 407*m - 2820. What is k(142)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/10)\/(20\/(-100))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -2*u**5\/3 + 544*u**4\/3 + 2818*u**3\/3 - 4432*u**2 = 0?\nAnswer: -8, 0, 3, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - ((-2 - (2 - -1)) + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33544479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 5:00 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 105 = 81. Solve -9*x + c*x = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.08 and -29314265.\nAnswer: -29314264.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 297*h + 276*h - 255*h + 40830 = -1043*h for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.034654388 rounded to five dps?\nAnswer: 0.03465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.3 + -116.3. Let z = 119.05 + g. Let x = 0.05 - z. What is the biggest value in x, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000017782203 rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**4\/v**(-6) assuming v is positive.\nAnswer: v**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ultuuuutuuqwtuuuwuz. Give prob of picking 1 q, 1 u, and 1 l.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 PM and 9:48 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 17*o - 12*o + 26*o in the form u + g*o and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 46 - -33. Calculate the remainder when s is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 - 16*c**2 + 16*c - 19. Suppose -90 = 34*k - 40*k. Let j be u(k). Does 28 divide (44\/55)\/(j\/(-1390))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -5*d**3 + 4*d**2 - 15*d + 34. Give t(3).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssdsddssss. What is prob of sequence ssds?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -348904 divided by -5.\nAnswer: 348904\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1ad22 + 41?\nAnswer: 1ad63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 785 divided by -467409\nAnswer: -785\/467409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-92)\/3*12\/(-16). Suppose l = -5*r + 13. Let j be (-2)\/3*(-6)\/(-4). Sort r, 11, j in ascending order.\nAnswer: r, j, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5778 and 54356?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 9*l - 20*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.8 + -1. Let z = 7 - 12. Let m = -431\/11 + 39. Which is the nearest to n?  (a) -1\/3  (b) m  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*y + 44*y + 41*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 - 3*b - 5. Let r(v) = -v**2 + 3*v + 5. Let t(m) = -3*r(m) - 2*x(m). Let f(i) = -20*i**2 + 38*i**2 + 6 + 3*i - 19*i**2. What is 4*f(q) + 5*t(q)?\nAnswer: q**2 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 2 f, and 1 x when four letters picked without replacement from {f: 2, x: 9, p: 5}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 133 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 43081 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of -2*g**2 - 15*g - 2. Let q = -594 - -605. What is the remainder when o(-11) is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 - -21) + 1 + -10 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 81*s + 31*s**2 - 81*s + (-4 + 1 + 2)*(-4*s**2 - 4*s**2 + 6*s**2).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15815, -1, 2, 4.\nAnswer: -1, 2, 4, 15815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.08 - 43.08. Let k = v + 38. Let y = 12.85 + 0.15. Which is the smallest value?  (a) -1\/12  (b) k  (c) -1\/3  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -19, -82, -243, -550, -1051, -1794?\n\"Answer: -8*b**3 - b**2 - 4*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 - 26 = 35*h - 31*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(700) + 0)*1 + sqrt(700) - (sqrt(700)*2 + -2))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.263 - -0.037. Let n = 114 + -114.41. What is the second biggest value in -4, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-133)\/171 + 1 - (-32)\/18. Solve 0 = -b*k - 393 + 397 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s - 15. Let l be b(-6). Let m be l + ((-44)\/3)\/(-4) - 0. Factor m*j + 0 - 2\/3*j**2.\nAnswer: -2*j*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72144014207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 144 and 108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -10978640 rounded to the nearest 10000?\nAnswer: -10980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 24807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (52\/4 + -1)*-1 - -5. Let n(a) = -4*a**2 + 6*a. Let o(c) = c. Let l(z) = 4*z**2 - 12*z. Let h(f) = -l(f) - 5*o(f). Give m*n(w) + 6*h(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -5*18597\nAnswer: -92985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*o + 45 = 33*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x**2. Let s(b) = -18628965*b. Calculate h(s(o)).\nAnswer: 694076673942450*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -325468 rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 523*v**3*w + 6*v**3 + 14*v**2*w + 80*v**2 + 646801706*v*w wrt v.\nAnswer: 3138*v*w + 36*v + 28*w + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 + 7. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(27) + sqrt(27)*-1)*4*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 296 + 11*c**3 + c + 5*c**2 - 10*c**3 - 278 + (c**2 - c**2 - 2*c**2)*(3 - 3 - 2*c) + c**3 + c**3 + 0*c**3 + 0*c**3 - 5*c**3 + 4*c**3.\nAnswer: 6*c**3 + 5*c**2 + c + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26013 (base 7) to base 13.\nAnswer: -3186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 4 + 6, 4*p + 707 = -5*u. Let i = p + 2011\/11. What is the second biggest value in i, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 35*a**3 + 40*a - 23. Let f be m(10). Suppose -f = -21*x + 4*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/864 and 71\/1296.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2201*x - 117*x**2 + 4413*x - 2212*x.\nAnswer: -117*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 40*a**2 - 11 + a + 28*a**2 + 55*a**2 + 2*a**2 + 61*a**2 to k*a + p + c*a**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 4*r = 108320, 3*r - 40764 = 4*o - 185186. What are the prime factors of o?\nAnswer: 2, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 196*q + 4*q**3 - 196*q - 9*q**3 - 7*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 5*k + 5553, -5*s + 3*s = k - 2775. What are the prime factors of s?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-24)\/(-14))\/((-5)\/(-35)). Let v be 171\/o + (-1)\/4. Suppose 4*x - 30 = v. Calculate the remainder when 32 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 182476.5 minus 1843.9?\nAnswer: 180632.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.4 - -0.029907.\nAnswer: -2.370093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3216 (base 10) to base 4\nAnswer: 302100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 0*a = -20. Let g(m) = 2*m**3 - 62*m**2 - m + 43. Let c be g(31). Let f = a + c. Solve -17 + f = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7494*x + 3*l - 11 = -7489*x, -2*x - 5*l + 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31 - 59*t - 1 + 7 - 36.\nAnswer: -59*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 12 = 123. Suppose -x + 5*d + 4 = -21, 3*d + m = 3*x. Solve 0*k = -x*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 4*o**3 + 3*o. Suppose 4*u - 6*j + j - 12 = 0, -4*u + 3*j = -12. Let d(l) = -3*l**3 - 2*l. Determine u*d(m) + 2*y(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 42, 5, 102382 in descending order.\nAnswer: 102382, 42, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 2 + 1 - 7 - a**3 - 16*a**3.\nAnswer: -17*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 - 311*o + 15627. What is s(248)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3 + 1*-1)\/(-15). Let u = -77 + 40. Let c = 37.2 + u. What is the nearest to -2 in -2\/7, o, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39835600*3.\nAnswer: -119506800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 18775 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3 = -5. Let a(l) = 3*l - 1 + i - 2*l. What is the lowest common multiple of 22 and a(9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 21. Let s = 41 - u. What is the highest common factor of 30 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 525 - 221. What is the remainder when c is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 168 and 32?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of -1\/50*c**6 + 6\/25*c**5 - 19\/20*c**4 + 7*c + 0 + 0*c**2 + 6\/5*c**3. Solve r(p) = 0 for p.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 302*p + 6037. Determine r(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -26585*w + 84. Is v(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 16) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/40 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = b + 3*m, -5*b - 3*m - 104 - 47 = 0. Let i(v) = v**2 + 4*v - 11. Let x be i(5). Let j = b + x. Solve j*g = -g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142114 is divided by 7105.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 298363.3 hours to microseconds.\nAnswer: 1074107880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 22791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 5*k**3 - 2*k**2 + 68*k - 18. Give d(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 304, 5 in ascending order.\nAnswer: -0.4, 5, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 115 = p + 33, -4*p + 2*l = -274. Find the third derivative of 0*f**2 - p*f**2 - 48*f**3 + 8*f**2 wrt f.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -636 - -617. Let l be (j\/38)\/(3\/(-18)). Factor -1\/2*y**l + 0*y**2 + 3\/2*y + 1.\nAnswer: -(y - 2)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 7, 2\/7, -5, 41?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 41 = -13*x. Find the third derivative of 465*a**5 - 3*a**2 + x*a - 379*a**5 - 3*a**2 + 7*a wrt a.\nAnswer: 5160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 311 = -3*z - 309, b = 4*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 177744096 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (3\/(-9) + (-8)\/66)\/(-4) and 43\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - s)*(-3 + 0 + 0) - 29 + 7*s + 29.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h**2. Let t be (-2)\/((0 - -1)*2). Let z be (0 + (t - -1))\/3. Let w(i) = 0*i**2 + z*i**2 + i**2. Calculate m(w(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3871 - -7479. What is the remainder when x is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3\/3 + 718*s**2\/3 - 5696*s\/3 + 11360\/3.\nAnswer: -(s - 710)*(s - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -3*v**2 + 32*v - 4. Let w(a) = -4*a**2 + 32*a - 5. Calculate 3*u(j) - 2*w(j).\nAnswer: -j**2 + 32*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of -13*v**5\/60 + 83*v**4\/24 - 178*v**2. What is the smallest common multiple of d(6) and 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3516 - -3532. Sort 4, v, 1, 0.5, -5 in ascending order.\nAnswer: -5, 0.5, 1, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 8 = s + 3*s, 3*t - 2 = -s. Let q(u) be the first derivative of -u**3\/3 - 34*u + 332. What is q(t)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 115 and 828.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 + 8*m - 11. Let h be c(7). Let l(i) = -i - 4. Let d be l(h). Solve d = 2*k - 0 - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -204364, -408642, -612842, -816964, -1021008?\n\"Answer: 39*k**2 - 204395*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -482 - -494. Solve -6*z = 6*z - q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -118954 and 0.013?\nAnswer: -1546.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 542, 1052, 1562, 2072?\n\"Answer: 510*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 14, o: 1, q: 1}. Give prob of picking 1 o and 1 k.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 7 = -41*m + 46*m, -5 = -q + 3*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 - 3*g + 2. Let z be s(-3). Suppose t + 4*t = -15, -4*t + 1408 = z*a. Round a to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 184, 4, -1, 2, 6.\nAnswer: -1, 2, 4, 6, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/30*(-1*(-143)\/22 - 8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u - 2*u = -n + 2, -5*n = -2*u - 10. Suppose 7 - 75 = -n*l. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 29 = 2*j, -4*j + 162 = -2*s + 132 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 2. Suppose w - v = -y - 4, -w = -4*y + 13. Find the first derivative of -4*g**2 + 2*g**2 + 4*g**y + 1 wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.09 * 0.07.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 2 - 1)*(0 + 5 - 10)*(2*t + t - t).\nAnswer: -50*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0463*-0.223.\nAnswer: -0.0103249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 41196672 and 1152?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 195147922 and 21.44992.\nAnswer: 195147943.44992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (144\/(-80))\/(58\/(-22)). Let u be 12\/(-145) + (-9)\/(-15). Let z = s + u. What is the closest to 0.2 in -0.2, z, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 5*k**2 + k - 3. Let q be y(-4). Let x(d) = d**2 + 2*d**2 - 2*d**2 + 15 - q. Give x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 4*x - 318 = -3*x, -2*m - 3*x = 631. Let z = 289\/1306 + -8023025\/24814. Let i = z - m. Which is the third biggest value?  (a) 0.3  (b) i  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/19518 or -1?\nAnswer: 1\/19518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -115 + 1?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 664765705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b - 506 = -13*b. Find the common denominator of 295\/96 - 2\/(b\/33) and 17\/18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (315\/3784095*293)\/(1\/3)?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-3)\/((-12)\/(-16)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 130.39 + -131. Let a = 15573.611088 + -15573. Let x = i + a. Round x to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -228638, -228654, -228680, -228722, -228786, -228878, -229004?\nAnswer: -229170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 20*g**2 + 22*g**2 - 40*g**2. Let q(z) = -605*z**2. Calculate q(p(d)).\nAnswer: -2420*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-16)\/(-10))\/((-1)\/(-20)). Suppose 28*f + 30*f - 77*f + 836 = 0. Calculate the greatest common divisor of f and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-70)\/805 + (-86)\/69?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 AM and 11:38 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 414301*q**2. Let s(y) = 186*y. Give d(s(u)).\nAnswer: 14333157396*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 - 6*s**2 - 2*s - 8. Let t be d(-6). Let z(i) = 2*i - 3. Let l(w) = -3*w + 3. Determine t*z(g) + 3*l(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gtttgggvttvt. What is prob of sequence gt?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -4 + (-27)\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*o - 4*z - 226, z = -7*o + 11*o - 5*o + 12 - 58 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/2, 0.3, -40, 102, 3.1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 426 and 2727?\nAnswer: 387234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -201 (base 11) to base 7.\nAnswer: -465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 785787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 2*d - 115 = 0. Suppose 0 = 43*b + 42*b - 1955. Calculate the highest common divisor of d and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*o**3*s*w**2 + 16*o*s + 6*s*w + s + 2*w**2 wrt o?\nAnswer: -12*o**2*s*w**2 + 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -929632 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -t**2 + 2851235*t - 12095327 wrt t.\nAnswer: -2*t + 2851235","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 106, -101, -810, -2315, -4910, -8889, -14546?\n\"Answer: -49*q**3 + 43*q**2 + 7*q + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 729 - (1*(1 - 1))\/(-2). Suppose 0 = -8*m - f + 4281. Calculate the smallest common multiple of m and 14.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*o + t + 5, 0 = -5*o - t - 4*t - 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6954 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -1171*u**2 + 2495*u - 3. Give d(2).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*l - 12*l - 8. Let a(r) be the first derivative of -3 - 4\/3*r - 1\/9*r**3 + 2\/3*r**l. Factor a(i).\nAnswer: -(i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93752 is divided by 87?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - -11. Suppose 0 = x*b - 272 + 44. Suppose -b = -3*g + z + 8, -g + 3*z = -19. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -131026565 by -5.\nAnswer: 26205313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 3:44 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 18 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2200, -2195, -2176, -2137, -2072?\nAnswer: -1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.45 smaller than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 - 1513108\nAnswer: -1513107.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 7) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8536*s**5 + 7163*s wrt s?\nAnswer: -170720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*o - 16*o + o. Let p(j) be the second derivative of -1\/12*j**4 - 1\/30*j**3 + 0*j**2 + o - j. Factor p(y).\nAnswer: -y*(5*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -703 + 733. Which is smaller: v or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 85974*-203\nAnswer: -17452722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 15) + -1088 + 1116 - (-8 + -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -19459450 * 17\nAnswer: -330810650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -60*a**2 - 7*a + 21. Let v(l) = -34*l**2 - 4*l + 12. Let m(b) = -4*t(b) + 7*v(b). Let k(y) = -303*y**2. Determine m(k(x)).\nAnswer: 183618*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of 8 + p - 1\/2*p**2. Let f(k) be the second derivative of -k**5\/20 + 2*k**3\/3 - 2*k**2 - k. Determine -4*b(g) - f(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 7 = -5*m, 0 = -0*z - 4*z + 3*m + 25. Let y(g) be the first derivative of 2 - g**2 - 5*g - z + 5*g. Let o(a) = -5*a. What is y(o(f))?\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -426 + 714. Let f = g - 143. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-7)*z**(-5))\/((z**(-4)*z)\/((z*z**(-3)\/z)\/z)) assuming z is positive.\nAnswer: z**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12527865923*r**2 - 23*r**3 + 12527865923*r**2.\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*z = 89*z - 448 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-102)\/15*(-15)\/6. Suppose -5*j + n = -28. Let s(v) = v**3 - 9*v**2 + 8. What are the prime factors of s(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26*h**3*j**2*z - 47*h**3*j**2 + h**2*j*z - 2*h*j**2 + 76*h*j + 7*j**2*z - 2*j wrt h.\nAnswer: 156*j**2*z - 282*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13\/26)\/(-2 + 1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of j - 2. Let y(x) = -1 - 1 + 5 - 2*x. Let r be 27\/(-108)*20 - 12\/(-4). Calculate r*b(m) + y(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 10210112211 (base 3) in base 6?\nAnswer: 1334034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)\/(sqrt(1000) - (2*sqrt(1000) + sqrt(1000))) + (3*(sqrt(4)*-2 - sqrt(4)) - (2*sqrt(24))\/sqrt(6)))\/((sqrt(32)\/sqrt(2))\/(sqrt(8)\/sqrt(36))).\nAnswer: -221*sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 4*t - 30, -3*t + 9 = -o + 4*o. Let c be (0\/(-6))\/(4 + o). What is the tens digit of ((3 + c)*-7)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + 1 - 7. Suppose 5*d - l - 65 = -0*l, -x*l = 0. Let b = -4 + d. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + -18. Let p = r + 14. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 2*m. Let r(x) = x**2 - 5*x + 1. Let v be r(5). Let b = 6 - v. Let z(s) = s - s - b*s. Calculate k(z(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46311 is divided by 1162.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*n + 23*n + 55*n as c*n + k and give c.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t**4 + 128*t**3 - 744*t**2 - 1888*t - 1012 = 0. What is t?\nAnswer: -1, 11, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 53.33 - -0.67. Which is the third biggest value?  (a) q  (b) 0.04  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 AM and 12:43 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 35 - 21. Suppose 2 = -3*v + i. Suppose p + 0*b - b = 7, 5*p = -4*b + 8. Solve -4*n + v*k - 4 = 0, 0*k = -p*n - k - 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -19*g - 5. Let m(x) = -2*x**2 - x + 1. Let w be m(1). Does 5 divide u(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 61*h**2 - 198*h + 11. Let t(r) = 31*r**2 - 108*r + 6. Let m(q) = -6*i(q) + 11*t(q). Let o(s) = 19*s. Determine o(m(u)).\nAnswer: -475*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-5) + -1)*180\/27?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 1. Let k be 4\/10 - (-13)\/(-45). Which is the nearest to j?  (a) k  (b) 0.1  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/5*((-365)\/(-15) - 26). Sort -81, -1, d in ascending order.\nAnswer: -81, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.08 * 226.\nAnswer: -18.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 PM and 5:19 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -7*h**2 + 2*h. Suppose s = 2*d + 22, 0*s = -s - 4*d - 2. Let z(n) = -11*n**2 - s*n + 33*n - 16*n. Determine -8*f(k) + 5*z(k).\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/5 of a millennium in centuries?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/n**(-1\/4))\/n**(2\/5))\/(n**5\/((n*n\/n**(-5\/2))\/n)))\/(n**41\/(n**(-1\/5)*n**(-3))) assuming n is positive.\nAnswer: n**(-897\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is -2.20195 rounded to 3 decimal places?\nAnswer: -2.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 395972.\nAnswer: 2, 98993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 AM and 8:22 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 45 + -43. What is the tens digit of (-10 + 11)*j*(-98)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1198, -1183, -1166, -1147, -1126, -1103, -1078?\n\"Answer: w**2 + 12*w - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4.1 - -0.1. Let v(d) = -219*d**3 + 3*d**2 + 4*d + 2. Let t be v(-1). Let g be (-253)\/t + 6\/8. Sort g, c, 2\/9 in increasing order.\nAnswer: c, g, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -1. Suppose 139*q + 16 = 143*q. Suppose -q*w - 21*g = -22*g - 12, -2*w - 3*g = -20. Solve -n*x + 3 = -w*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h + 6*h - 3*h)*(0 + 2 - 4) + (0 + 3 - 1)*(-2*h + 2*h - 2*h) + 2910*h - 1499*h - 1506*h - 2 + 1 - 1 - 3*h + (-2 + 1 + 2)*(3*h - 2*h + 0*h).\nAnswer: -99*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 7\/2, -1, 1\/7, 11, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -1637*s**5 - 25*s**2 - 21*s + 913. Let u(h) = 409*h**5 + 6*h**2 + 5*h - 228. Let o(l) = -50*u(l) - 12*x(l). Find the second derivative of o(k) wrt k.\nAnswer: -16120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7246 - -7278. What is the highest common factor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, 3, 63, 147?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8032515*t**2 + 8*t + 48418 wrt t?\nAnswer: 16065030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -0.36.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 - 6*p**2 - 8*p + 4. Calculate y(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -206?  (a) -4  (b) 0.3  (c) -5007  (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -10 - 911?\nAnswer: -921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -73.06, -2, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36*26\/104 + 2\/((-2244)\/10110)?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3143867 and 4?\nAnswer: 12575468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 10:23 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 - 4*o + 18. Let n(z) = -2*z. What is 3*n(s) - x(s)?\nAnswer: -s**2 - 2*s - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 86 + 699*y**2 + 1398*y**2 - 1249 wrt y.\nAnswer: 4194*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 592 = 3*g. Calculate the highest common divisor of g and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*x + 34 = 64*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + d = -0*i - 1, -5*i = d - 13. Solve -f - f - i = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - 0. Let v(k) = 0 + 5*k**2 + m. Let q(p) be the first derivative of -p**3\/3 + 14. Calculate q(v(t)).\nAnswer: -25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + j + 2. Suppose j*w = d - 2*w + 3, d + 5*w - 24 = 0. Let y be d\/5*30\/9. Solve -2 + y = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 + 5 = -5*k. Solve k*m = -2*a + 20, -a = 2*a + m - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 60 + -3a6a?\nAnswer: -3a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -m**4 - 424575*m**2 + 321478 wrt m.\nAnswer: -4*m**3 - 849150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5941 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 31496604 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2*n + 2. Let r(o) = 4*o - 3. What is 2*r(t) + 5*y(t)?\nAnswer: -2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1180225*q**4 + q**2 - 7317364 wrt q.\nAnswer: -4720900*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*w = -19*w + 12. Let t(z) = z**3 + 3*z**2 - 2*z - 1. Let b be t(w). Solve -14 = -b*a + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*r**3 + 16 - 2*r**2 - 6*r**3 - 13 - 2 to f*r**2 + l*r + t + x*r**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 8 = s + 1, 3*w - 3*s + 12 = 0. Let g = -3 + 5. Solve t + w = g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 427416397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1130 (base 5) in base 16?\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2. Suppose 4*u - 2 + 18 = 0. Let i(v) = -v**2 - 6*v - 5. Let s be i(u). Let o(n) = -3*n + 10*n - 7*n - s*n**2. Determine j(o(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 71310304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 66 = -2*n, -4*n + 2*u + 136 = -0*u. Suppose n = 4*d + 159. Let l = -18 - d. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 35 + -14. Let j = u - 15. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-33) + ((-27)\/(-330))\/1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -14 and 34201?\nAnswer: 34215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 23*y**2 - 1. Let u(o) = 4*o**2 - 6*o - 3. Let a(i) = -3*i**2 + 4*i + 2. Let x(w) = 3*a(w) + 2*u(w). Give q(x(j)).\nAnswer: 23*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 20*t**2 - 15. Let g be (1 + -3)\/((-290)\/75 + 4). Let h(p) = p**2 - 1. Calculate g*h(y) + q(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((v - 2*v + 2*v + (-4 + 6 - 3)*(0*v + 0*v - v))*(-4 + 13 + 3) - 2*v + 0*v + 0*v)*(5*v + 136 - 4*v - 257).\nAnswer: 22*v**2 - 2662*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d + d + 3*d**5 + (-133*d + 2*d**4 + 133*d)*(7*d - d + 5*d + (d + 0*d - 2*d)*(-1 - 3 + 3)).\nAnswer: 27*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 296 - 4287 - 149 + 4188*i with respect to i.\nAnswer: 4188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**3\/3 - 128624*n**2\/3 - 4117504*n\/3 - 10981376.\nAnswer: 2*(n - 64344)*(n + 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 78266 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 216140791 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17, 40, 109, 248, 481, 832?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48978)\/(-27210)*4\/42?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.7 - 1.1. Which is the third biggest value?  (a) -9  (b) i  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1528 - 1556 - (1 - 84)) + -1 + 3 + 0?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of -11*y**5\/20 - y**3\/3 - 3*y**2. Let r(v) = -67*v**2 - 3. Let d(q) = 5*a(q) - 3*r(q). Is d(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llii when four letters picked without replacement from lllliil.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (7 + 3 + -13)\/((-2)\/364)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2818432264 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 663*w + 58947. Determine s(-89).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(110) + sqrt(110) + -3*sqrt(110)))\/(sqrt(60)\/sqrt(6)*-4).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4787 + 5002 = -39*f. Let k = 102 + 262. Let m = k + f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-2*(-5)\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((3*(5 + sqrt(208) - sqrt(208) - sqrt(208)) - sqrt(208)) + sqrt(208) + -4 + 2*sqrt(208) + -5 + 3)**2.\nAnswer: -72*sqrt(13) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 + 2*d**2 + 2*d + 4. Let w(h) = -h**3 - 3*h**2 - 3*h - 5. Let x(f) = -2*f + 1. Let q be x(-1). Suppose -8 = -q*n + n. Calculate n*w(l) + 5*s(l).\nAnswer: l**3 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of -d**4\/2 - 50*d**3\/3 + 26*d**2 + 212. Find q, given that x(q) = 0.\nAnswer: -26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1346421424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-7 - 0) + 214\/30. What is the nearest to 1 in y, 4, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/11  (b) 1  (c) 1\/17  (d) 0  (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0\/2)\/((-4)\/4). Suppose -5*v = -u*v. Is v != -4\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 701, 720, 755, 800, 849, 896, 935?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*m - 62*m - 9 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from smmsmsmm. Give prob of picking 4 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 681 = -3*u, -7*u = -3*j - 2*u - 675. Let r be 96399\/420 - 3\/(-7). Let c = r + j. What is the common denominator of 35\/3 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2617 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1922112 by 10224.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127822263.\nAnswer: 3, 2521, 16901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x*x\/(x\/x**(-2\/5)))\/(x**3\/x))**(1\/4))**(3\/25) assuming x is positive.\nAnswer: x**(-3\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 13 = 3*g. Suppose -g*d = v - 109, 6*d - 2*d = 3*v + 167. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*h - 6*h + 5. Is (-230)\/(-12) + h\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -5*b + 34. Let q(o) = -2 - 3 + b + 2*o**2. Let m(i) be the first derivative of -17*i**3\/3 - 1. What is m(q(d))?\nAnswer: -68*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 6*n = 2*g - 360, -166 = -g - n. Solve g*m = 152*m - 36 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6\/2)\/(9\/48). Let r = d + -71. What is the common denominator of (r\/(-90))\/(1\/(-2)) and 5\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 39 - 81. Let d be (-18)\/m - 6\/(-35). Put d, -0.3, -0.5 in descending order.\nAnswer: d, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -612, -834, -1450, -2658, -4656?\n\"Answer: -33*i**3 + i**2 + 6*i - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 50069 - 33073. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2165 (base 10) to base 12\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of 7*a**4\/6 + a**3\/2 + 118*a - 1. Let y(q) = 7*q. Calculate y(r(d)).\nAnswer: 98*d**2 + 21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, -30, 7, 5, 3, 0.\nAnswer: -41, -30, 0, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*q = -q + 10*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4*3\/6 - -4. Suppose -2*a + 2 = 0, -p*a + a = 3*c - 61. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(0 + 8 + 1)*(-27*a - 39*a + 16*a).\nAnswer: -900*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, 1.05, -1.04, 0.16, 4 in ascending order.\nAnswer: -1.04, -2\/7, 0.16, 1.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ntwgg. Give prob of picking 1 w and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/75 of a hour?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 7210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4028*x - 26626 = 1043*x + 65909 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/32512 and 113\/48640.\nAnswer: 6177280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*h**3*l*q**3 + 82*h**3*l - h**2*q + h*l - h*q**3 + 31*l wrt h?\nAnswer: 18*l*q**3 + 492*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 97\/(-57)*3 + (4 - (-7)\/7)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -173 + 195. Solve -u*y = -19*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4121598, 16486404, 37094414, 65945628, 103040046, 148377668, 201958494?\nAnswer: 263782524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00013742696 to 7 decimal places.\nAnswer: 0.0001374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -847, -832, -819, -808?\n\"Answer: -c**2 + 18*c - 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 3*z + 5. Let d = 3 - -2. What are the prime factors of x(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6  (b) -97  (c) 4  (d) 0  (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 + 80*s**2 - 83*s + 316. Let z be x(79). Let w(g) = g**2 + g + 67. Determine w(z).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 9, 20, 45, 90, 161?\n\"Answer: o**3 + o**2 + o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -3 + -3*sqrt(637))**2.\nAnswer: 336*sqrt(13) + 5797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 48 - 42. Solve -o - 2 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*d**5 + 50763*d**4\/4 + 10758861*d**3\/2 - 22646973*d**2\/4 + 269637*d = 0. What is d?\nAnswer: -311, 0, 1\/20, 1, 1156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1061*a + 1601*a = -37800 for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2133950000 rounded to the nearest one million?\nAnswer: -2134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2996*s - 2962*s + 211590 = -1896*s + 7693*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8713357km to centimeters.\nAnswer: 87133.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 39 = -15. Put 1, 2, x in ascending order.\nAnswer: 1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1527 + 1523. Let g(q) = q**2 + 4*q - 4. Let y(u) = u - 1. Calculate t*y(w) + g(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10111 + -211?\nAnswer: -10322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 - 16*t**2 + 48*t - 5. Determine o(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 15 = 0, -3*o = -n - 1 - 8. Suppose t - 351 = -5*p, 3*p - 3*t + 7*t - 197 = n. Let a = p + -69. Solve 0 = m - 2*m + a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - 2. Is (1\/((-2)\/353) - z)*-14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15244 + 548695\/36. What is the common denominator of 43\/30 and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4688 and 11720.\nAnswer: 23440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8345911690.0000719 - -8345910457. Let i = l + 1233. What is i rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*l + 4 = -44*l. Sort 5, 3, -3, l in decreasing order.\nAnswer: 5, 3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 43*k**2 - k - 15. Let z(g) = 66*g. Determine t(z(f)).\nAnswer: 187308*f**2 - 66*f - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (90*l**5 + 15*l**5 + 9*l**5)*(5 - 3 - 3)*(2 + 1 - 4).\nAnswer: 114*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -835522.4 + 11148.7.\nAnswer: -824373.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-107)\/(-3) - 6\/(-18))*1. Calculate the highest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1609798.69 rounded to the nearest 1000?\nAnswer: -1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*r - 73 = -21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1874930379.\nAnswer: 3, 7, 59, 373, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -386 + 476. What is the greatest common divisor of 135 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116833479751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5\/5)\/(1\/2). Calculate the remainder when 82 is divided by 7*(f + (0 - -2)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 45*f - 497. What is the remainder when 269 is divided by q(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 + 15*c**2 + 16*c + 18. Give i(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(19) - (-5*sqrt(19) + sqrt(19))) + 0)*-1)**2*-4 + 1.\nAnswer: -1899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -695, 1.\nAnswer: -695, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 51557, 51504, 51451, 51398, 51345?\n\"Answer: -53*z + 51610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -48 - y + 48 + 0*y in the form p + f*y and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -120*k - 129*k + 10 + 243*k. Determine x(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fftfttftff. What is prob of sequence fff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - ((7 - (2 + 2)) + 0 + 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 4*a = -3*j - 863, 0 = -5*j - 2*a + 4297. Let s = j + -487. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40784066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 921 + -584. Let k = x + -201. Let s = 210 - k. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zgc when three letters picked without replacement from mmzmzmcmgzz.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 6:26 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 207802942 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 53648 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1491193621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-3)*(9*1)\/((-105)\/70).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -6*q**2 + 2*q + 1. Let v be x(3). Let r = 24 + v. Let m = -19 - r. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2468aa (base 12) to base 10.\nAnswer: -592258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27240304 is divided by 1511.\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/9)\/((-5)\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2*b**2 + 2*b - 1. Let h be x(-2). Suppose -h*f = -2*f - 6. Let m(q) = -f*q + 4*q - 2 + 2. Let v(p) = p. Calculate v(m(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 119 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 2*b = -24. Let p = -78 + 93. Suppose c - 6*c = 3*d - 37, c - 5*d + p = 0. Solve -3*q = 2*u + 4, -c*u = -4*q - b + 45 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 223993.\nAnswer: 7, 11, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1620364*k**3*t**3 + 4*k**3*t + 1641*k**3 - 2*k**2*t**2 - 2*k wrt t?\nAnswer: 9722184*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**2 - 62*n**3 + 59*n**3 - 2*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 2.4, -0.1, 2.19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1970 and 40.\nAnswer: 7880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -21*f**3 - 14*f**2 + 15*f**2 + f - 11*f**3 as r + b*f**3 + z*f + d*f**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000010036 to seven decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -16719*r**2 + 43. Let c(j) = -2*j**2. Calculate t(c(p)).\nAnswer: -66876*p**4 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11680 is divided by 605?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 218 + -2832\/13. Suppose -x = 4 + 1. What is the third biggest value in g, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3638 or -3673?\nAnswer: -3673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/14700 and -41\/1100?\nAnswer: 161700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 + -5. Let t = -6.99999999 + z. What is t rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 364 divided by -28?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4065 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from sghssghxsgj.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*w - 17*w = -24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -6*f**3 + 6*f**2 + 795*f - 789. What is q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -65.4 + 72.4. Suppose 0 = -5*t + 31 + 29. Let n be ((-3)\/(-54))\/(3\/t). Put k, n, -2\/9 in decreasing order.\nAnswer: k, n, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 224\/(-17136)*(-1)\/((-4)\/(-2))*18?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 2*j**3 + j + 565. What is the hundreds digit of l(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 4*m. Suppose 0 = -k + 3*d + 16, m = -4*k + 8*k - 3*d - 28. Suppose 0 = -k*w + w. Solve -20 = -q - 5*r, 4*r - 40 = 4*q - w*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2519761095?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + 3 + -4 + 2. Suppose w + 3*l - 16 = -k*l, 5*w - 50 = -5*l. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 4*t + 1. Suppose 4*w + 12 = -0*w. Let z(i) be the second derivative of 3*i**3\/2 + 3*i**2\/2 - 2*i. Let k(f) = w*z(f) + 7*x(f). What is k(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/110805 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1232783*y**2 - 15943*y + 41 wrt y?\nAnswer: -2465566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 10) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1171.822 and -0.960208?\nAnswer: 1172.782208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**2 - 6*y**2 + 3*y**2)*(0 - 1 + 3) - 222 + 504 + 3*y - 888*y**2 - 281.\nAnswer: -890*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25253 is divided by 258.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 + 8*c**2 + 6*c - 3. Let g be r(-7). Let b = 6 - g. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.9779 to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 38 = -j. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*i - 232*i**2 + 20*i - 12 - 43*i.\nAnswer: -232*i**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.112 and -34229710898.\nAnswer: -34229710898.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -4011*g. Let q(f) = -1604*f. What is 18*q(n) - 7*t(n)?\nAnswer: -795*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + -2077?\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - 1) + ((-3)\/6 - 6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 9, a: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -0.5, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 7 + 30613*g + 2 - 1. Let w be i(6). Let q = 108686 - w. What is q rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g - 3*g + 6*g)*(-1 - 12 + 6) + (0 - 2 - 4)*(-7 - 3 + 5 + 2*g) as k + m*g and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 302\/6191 + (-3564)\/(-2583).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-36)*(-4)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20264?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4148233.\nAnswer: 4148233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5714060174 to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 238263287 - 476526573 + 238263286 - 8*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -37 + 39. Solve -35 = p*q + 5*o, q - 4*q + 4*o = -5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 15943 = -793*u + 798*u, 2*u - 31898 = -4*x. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/(-4)*304\/(-4104)*-171.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1404096 and 927?\nAnswer: 4212288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7157 (base 15) to base 8.\nAnswer: -56574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - 2727?\nAnswer: -2722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2322 - 2?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 250, 1, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 304.235 - -2.\nAnswer: 306.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 340  (c) 1.6  (d) 1.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of -x**5\/10 + x**3 + 13*x**2. Find the first derivative of h(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((15\/8)\/3)\/((-583)\/1590*(-70)\/616)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of o**7\/13860 - 7*o**6\/3960 + o**5\/55 + o**4\/4 + o**3 + 15*o + 1. Let z(s) be the third derivative of k(s). Factor z(d).\nAnswer: 2*(d - 4)*(d - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -6 - (14 + 3 + -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 82\/4 - 4\/8. What is the smallest common multiple of (-8)\/d - (-24)\/10 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-35 - -27) + 8 + -3 + -9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 - 20. Let a be ((-36)\/16)\/(i\/16). Find the third derivative of -2*p**4 + 2*p**4 + p**2 - 4*p**a - p**6 wrt p.\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*k**2 - 3*k**4 + 3*k + 26*k**3 - 24*k**3 + 2*k**4 - 18*k + 2*k**4 - 1 to the form j*k**2 + z*k**3 + v*k + t*k**4 + d and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4333?\nAnswer: 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1600, -3191, -4780, -6367?\nAnswer: -7952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fdxfxfffdffxfxax. Give prob of picking 1 a and 3 x.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 62121407\nAnswer: 12424281.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(180) + sqrt(180) + sqrt(180) + -1 + sqrt(180) + 0))**2 + ((sqrt(180) + 0 + sqrt(180))**2*-6 - sqrt(180)) + 1*(sqrt(180) + 0).\nAnswer: -768*sqrt(5) + 41776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 787*c + 3937. Give m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 260 + -262. Let k be ((-6)\/(-4))\/(1\/x). What is the second smallest value in k, -1\/7, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86 - 50 = 12*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152*b - 147*b = 0. Let l(x) be the third derivative of 0*x**3 + 1\/30*x**5 + x**2 + 0 - 1\/120*x**6 + b*x - 1\/24*x**4. Determine o so that l(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = c - 18. Is c at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g = j - 9*g - 22, 96 = 3*j + 3*g. What is the remainder when 321 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -5*c**3 + 299*c**2 + 12*c + 22. Let z(d) = -2*d**3 + 99*d**2 + 3*d + 8. What is -4*s(p) + 11*z(p)?\nAnswer: -2*p**3 - 107*p**2 - 15*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -24*v**2. Let d be 142\/10 - (-3)\/(-15). Let f(h) = d*h - 14*h - h**2. Calculate f(x(b)).\nAnswer: -576*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 577\/133 + -30\/7. Is c greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 s, and 1 v when three letters picked without replacement from {z: 2, v: 3, d: 1, s: 1, c: 1, l: 5}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 74 - 1?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (82\/3690)\/((-1)\/6)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y - 5*n + 7 + 5, -5*y = 3*n - 15. Suppose -y*b + 5*t = -23, 0 = -b - 0*t - 4*t + 36. Calculate the smallest common multiple of b and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 45 - 4 = u, -213 = -5*g - 3*u. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sccslllss. What is prob of picking 1 s and 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**3*z\/(z*z*z\/(z*z*z**(-3)*z*z))*z**(-1\/6)\/z**(2\/23) assuming z is positive.\nAnswer: z**(241\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -3*h + 14438 + 17128, 52595 = 5*h + 2*t. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*1 + 13454\/1922)*2\/639?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -0*a - 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8290 + 8338. Solve -123*w = -99*w - o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 3*l + 170. Let g be b(-29). Let a(q) = -82*q + 244*q - g*q - 78*q - 132*q**2. Let x(r) = 2*r. Calculate a(x(c)).\nAnswer: -528*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 83760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -133478*t**6 + 19*t**3 + 45114985*t**2.\nAnswer: -16017360*t**3 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00005899 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 5*t - 2. Let q be w(2). Suppose -4*c + 3*c = 4. Let s = q + c. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 584416298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 639468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 499, 483, 449, 391, 303, 179, 13, -201?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 5058 and 0.04?\nAnswer: 5057.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23.7 + -7.2. Let l = d - -31. Which is smaller: -0.064 or l?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -7*f + 45. Solve -5*g - 2*k = -f, 4*k = -g - g + 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -4*z. Let r(k) be the first derivative of -k**6\/360 + k**3 - 1. Let t(g) be the third derivative of r(g). Determine t(q(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 186628145 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -15*g + 50. Let c be p(6). Let i = 74 - 49. Let s = i - c. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 24*r - 23. Let d(b) = 133*b - 126. Give -5*d(t) + 28*m(t).\nAnswer: 7*t - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 3047 - 6092 + 1146*y + 3045 + 4193*y as z + u*y and give u.\nAnswer: 5339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 297047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 12 = 7*u. Solve b = -o + 3, -4*b + u*o = -3*b + 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2242*v + 394597. What is d(-176)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = s + 13, 14*b = 19*b - 20. Solve 3*f - 24 = -4*j - 0, -5*j = -3*f - s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2503 + 7511\/3. What is s in -n*s**2 - s**3 - 1\/3*s**4 + 0 + 0*s = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 7:50 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*((sqrt(68) - sqrt(68)*-2 - sqrt(68)) + sqrt(68)))\/(sqrt(196)*1 - sqrt(196) - sqrt(196)))**2.\nAnswer: 153\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4819, 20784, 47387, 84622, 132483, 190964, 260059, 339762?\n\"Answer: -t**3 + 5325*t**2 - 3*t - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2 + 5734*h + 8219689.\nAnswer: (h + 2867)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 1\/5, 4, -184.3 in increasing order.\nAnswer: -184.3, -0.2, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o**2 + o**2 - 4*o**2)*(2*o - 3*o - o) - 3*o**2 + 3*o**2 - o**3 to the form q + r*o**3 + v*o + c*o**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 1589*j**3 + 593*j**3 - 2*j**2 + 0*j + 2*j + 6. Let q be k(5). Let i = -3627284 - q. What is i rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(4\/3))**26)**(-6\/11))**(2\/25) assuming t is positive.\nAnswer: t**(-416\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -6*v - 5. Let r(j) = -5*j - 89 + 58 + 26. Give -4*r(i) + 3*x(i).\nAnswer: 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -63.6408533 to three dps.\nAnswer: -63.641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(882) + sqrt(882)*-1)\/(sqrt(96) - sqrt(96)*-6) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**3\/7 - 60*f**2\/7.\nAnswer: -4*f**2*(f + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(147) - (sqrt(147) + 2 + sqrt(147) + sqrt(147) + 0)) + 0 + -1 + 1*sqrt(147) + sqrt(147) + -5))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 - 2*c + 1. Let t(s) = -s**2 - 3*s + 1. Determine -8*p(z) + 5*t(z).\nAnswer: 3*z**2 + z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 38007019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13600 divided by 2720.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -s - 4. Suppose -303 = -s*k - 27. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y - y - y + (-2 + 1 + 2)*(4*y - 4*y + 4*y) - 11*y - 2 + 1 + 2.\nAnswer: -10*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3304 (base 5) to base 8.\nAnswer: -706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*w - 1660 = 0, -w = -k - 2*k + 996. Suppose k = 4*v - 0*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 1364 = -1304 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = g - 2, -4*g + 0*g = -2*d + 12. Let h(o) = 13*o**2 - 8*o - 25. What is the remainder when h(g) is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-5*(-5)\/850). Let n = 36 + r. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3496412?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-40) + 0 + (-87)\/(-435)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4688, -9560, -14600, -19808?\nAnswer: -25184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v**3 - 3*v**2 - 3*v - 4. Let b(u) = -8*u**3 - 5*u**2 - 5*u - 8. Calculate 3*b(c) - 5*w(c).\nAnswer: -9*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 45 - -3. What is the units digit of 34\/(-3)*w\/(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - 524640?\nAnswer: -524645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3061 + 3061 + 355*c to n*c + b and give n.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -35 + 66. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 2*t = 6*t - 144, 3*x = 3*t + 216. What is the remainder when x is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5*-3*29\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bzz when three letters picked without replacement from {q: 4, g: 1, b: 3, z: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.05648nm in meters?\nAnswer: 0.00000001205648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -9311*j - 37247. Give n(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of o**3\/3 - 23*o + 1. Let r be n(0). Let g = -14 - r. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-65)\/(-2470)*-323*(-50)\/(-5).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 21*t - 17. Let n(l) = 11*l - 8. Let w(a) = 2*d(a) - 5*n(a). What is the tens digit of w(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 324 divide 16792596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 90 and 4417128.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(2 + -4 - -4). Suppose -p + z*p + 3 = 0. Solve 2*t - p*t + 3*s = -13, 4*t = 2*s + 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 - 3*g**2 - 2. Let i = -140 - -142. What is l(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (-24 - -22 - (1 + -1)) + 8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + 6 + -8 + (-118)\/(-38). Let n = 0.072 - -0.928. Put n, k, -2\/11 in decreasing order.\nAnswer: n, k, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95)*-2*-3 + sqrt(95))\/(5*(sqrt(5) + sqrt(55)\/sqrt(11))).\nAnswer: 7*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, -30, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -823.496 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum 199298 and -1891.491706.\nAnswer: 197406.508294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 11) in base 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 + 0\/(-4))*(119\/(-14))\/(-17). Let c(b) be the third derivative of d + 1\/5*b**5 + 1\/180*b**6 + 3*b**4 + 24*b**3 + 0*b - 12*b**2. Factor c(x).\nAnswer: 2*(x + 6)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -78309.029 times -0.5?\nAnswer: 39154.5145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.668649 millennia to years.\nAnswer: 1668.649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 21 - 9 = -5*i, 35 = 2*i - 3*u. Suppose 5*f + 3*v = 186, 0 = -5*f + v - 5*v + 188. What is the smallest common multiple of i and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 248610560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -224 - -227. Find the common denominator of 63\/20 and 1164\/(-16)*(-1)\/(s*-9).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, 381, -39\/19, 3, -0.5 in ascending order.\nAnswer: -39\/19, -0.5, 1\/5, 3, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*d - 29*d = -256 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -32 - -31.8. Let k = 2.3 - 0.3. Let y = k - 1. What is the second smallest value in t, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 594 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 194, 265, 320, 353, 358, 329, 260, 145?\n\"Answer: -q**3 - 2*q**2 + 84*q + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -15, -59, -131, -231, -359, -515, -699?\n\"Answer: -14*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (((-174)\/464)\/(10\/(-16)))\/((-9)\/(-180*5))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 6*d - 8 = 0. Let f(g) = g**2 + 7*g - 7. Let s be f(d). Which is smaller: s or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*q - 22*q - 32*q + 77*q - 212.\nAnswer: q - 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/32*-121*12\/(-33).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + (-5 - (6 + -6)) + 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 28*h + 23*h + 21945 = 0, -3*b + 16434 = h. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 184 = 4*q - 2*o, 0 = -2*q - 5*o + 114. Let t = -20 + q. Differentiate 6*z**3 + 38 - t - 30 wrt z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-7)\/(77\/(-5368)))\/((-2)\/3*-3). Calculate the highest common divisor of n and 26108.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - n + (-2*n - 4 + 4)*(-3 - 1 + 2) + n - n + n + (-2 - 2 + 8)*(-16*n + 54 - 54).\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/2 or -0.41071644?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 - 26*u**2 - 38*u - 33. Suppose 4*p = -2*k + 5*k + 126, -2*p = 2*k - 56. Is z(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24779 is divided by 2252.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 5*q + 1, 0*o + 2*o + 16 = -5*q. Let i be (-15)\/o*-1*2\/(-2). Suppose v - i*v = -16. Solve -7*h + 3*h = -v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 3*d - 15. Let z(o) be the first derivative of o**4\/4 - 8*o**3\/3 + 4*o**2 - 2*o - 7. Let v be z(7). Let r be a(v). Solve r = 2*u + u - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**3\/y*y\/((y*y**1\/y*y)\/y))\/(y**6\/((y*y\/y**(-6))\/y)) assuming y is positive.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -755 + 1285. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-8)\/(-10) + (-11315636)\/(-505)?\nAnswer: 2, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3 - 4\/(-3))\/((-55)\/132). Solve -j = h - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 246 - 242. Solve 3*i - a*i - 3 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -20 + 4*d**4 - 26*d - 4*d**3 + 4*d**2 - 34*d + 3*d**4 - 6*d**4 + 59*d in the form l*d**2 + y*d + x*d**4 + t + i*d**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 631.6355nm to meters.\nAnswer: 0.0000006316355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 4*q - 6 = 0. Calculate the highest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 460041?\nAnswer: 2760246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 + -11.87. Let k = y - 0. Let h = -5.13 + k. Which is the third smallest value?  (a) 1\/3  (b) 0  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*4*-1*(-3 + -3 + sqrt(1216)*-2 - (4 + -1*sqrt(1216) + sqrt(1216) - sqrt(1216))*6))**2.\nAnswer: -122880*sqrt(19) + 1302784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -132194000 to the nearest 1000000.\nAnswer: -132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 97 - 88. Suppose 0*c + 3*c = -3*i + x, 3*c - 2*i - 24 = 0. Let g = c - 3. Is 2 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.22090512 + 0.927.\nAnswer: 0.70609488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-5472)\/20*(-9 - (-27)\/18)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/7, 5, 67 in increasing order.\nAnswer: -4\/7, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -1.5. Which is the closest to 1?  (a) -2\/17  (b) -0.1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + 2 + (-5 - -1). Let a(t) = 5*t**2 + 7*t + 5. Let m(w) = -w - 1. Let j(u) = a(u) + 6*m(u). Let h(d) = 4*d**2 + d - 1. Determine g*j(r) + 3*h(r).\nAnswer: 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 135956871 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 3\/2, -0.2, 9486?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10681.25681 + -10681. What is m rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15151.387179 - 14929.387179394. Let y = x - 222. What is y rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106053.\nAnswer: 3, 23, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -87 + 78 + (-1 - -14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 69, 0.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 0*u = 55. Suppose -10*c = 16*c - 442. Let m = u + c. Round m to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (162\/(-30) - -5)*-15 + 1148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 3*x = 0. Suppose -f - 4*f + 15 = x. Suppose -f*u + 2*u = -90. What is u rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u**3 - 350*u**2 - 6765*u - 21780 = 0. What is u?\nAnswer: -33, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 104.7 - 105. What is the biggest value in k, 1, 0.2, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -41 + -7?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 4*f = 4, 0 = o + 2*o + 2*f - 8. Suppose 4*b + o*s - 20 = 0, -4*b + 15 = -s - 0*s. Suppose 0*q + 96 = b*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2185, -2193, -2215, -2257, -2325, -2425, -2563, -2745?\n\"Answer: -p**3 - p**2 + 2*p - 2185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 343394410 a multiple of 6558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 14*m - 3*m)*(-4*m + 11*m - 94*m**2 - m**2 - 4*m - 124*m**2).\nAnswer: -1971*m**3 + 27*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 4*a + 32 = 0, 5*y - 29 = -0*y + 3*a. Suppose 4 = y*p + 15*j - 10*j, -5*j = p - 1. Let c = 2 - -1. Solve -5*i + c*i = 5*l + 2, -i = 3*l + p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -700*u - 75. Let w(h) = 701*h + 76. Let y(d) = 3*s(d) + 4*w(d). Is y(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g*j**2*k**3 + g*j**2*l - 10*g*k**3*l + 2*j**2*l + j*k**3*l - j*k*l + 3*j*l wrt g.\nAnswer: j**2*k**3 + j**2*l - 10*k**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1287238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -8*l**4 - 4*l**3 + 5*l - 17*l**2 - l**3 + 3*l**4 + 22*l**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -6*c**3 + 34*c**2 + 18*c. Let n(o) = -9*o**3 + 51*o**2 + 29*o. What is -5*n(z) + 8*p(z)?\nAnswer: -3*z**3 + 17*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 877 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9524?\nAnswer: 2, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a meter in centimeters?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2 = -4. Suppose 0 = -3*m - f*m - 370. Let d = m - -115. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of 0*h + 0 + 1\/6*h**3 + 1\/8*h**4 + h**2. Let f be z(1). Are 4 and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-300)\/(-90)*(-6)\/(-10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44 and 77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.7962 - 162.5662. What is f rounded to the nearest integer?\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147593 is divided by 84.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1\/23 + -25\/46. Put 0.4, -1\/3, q in decreasing order.\nAnswer: 0.4, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/135 and 103\/1950?\nAnswer: 17550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 133950790 divided by 13395079?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*y - 10*y - 1002. Let c = -214 - y. Suppose 6*o = 2*o - 3*u + 230, 2*o - c = u. Calculate the remainder when o is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 15 = 4*k. Suppose -k*d - d = -72. Suppose -3*m + 45 - d = 0. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -25, 4, 33?\n\"Answer: 29*o - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 358 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n - 9. Let d be f(-6). Suppose -a = -2*a + d. Suppose 30 = a*y - 3*v, -5*v + 4 = -1. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 96 = -4*l. Suppose 0*m + l = -4*m. What is the remainder when 2\/(-8) + (-387)\/m is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7542.8586 minutes in days?\nAnswer: 5.23809625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7079623 by 6.\nAnswer: 7079623\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 251 + -251. What is the hundreds digit of 369 - f - (49 - 48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1086044 and 1086043 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 247 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1362411348 rounded to the nearest 100000?\nAnswer: 1362400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214 is divided by 70.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 8:26 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -383 - -380. Sort -1, v, -27 in descending order.\nAnswer: -1, v, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -1 - 5. Suppose -5*i = -c*i - 108. Let y(d) = d**3 + 30*d**2 + 49*d - 91. What is the remainder when y(-28) is divided by i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -54\/5 and -19\/74?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.05, -2\/15, 2\/21, 0.4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d**2. Let w(g) be the third derivative of 5*g**4\/12 + 2*g**2 - 10*g. Calculate y(w(h)).\nAnswer: 200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1534\/8 - 2\/(-8). Let v be (-72)\/h*(-1 - (-4)\/3). Let p = v - -3\/8. Which is the smallest value?  (a) 2  (b) -1\/2  (c) 0.2  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -4616429*r**2. Let i(d) = 2*d**2. Calculate s(i(p)).\nAnswer: -18465716*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 974 + 8*v**3 - 3*v**3 + 3*v**2 - 4*v**3 - 2*v**3 + 1722*v**4 - 1724*v**4 in the form g*v + w*v**2 + x*v**3 + u*v**4 + c and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -164*g**3*y - 3*g**3 - 234*g*y + y + 1643 wrt y.\nAnswer: -164*g**3 - 234*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/288*(49\/(-14))\/(2\/(-4))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o + 929. Let x(i) = -35292*i. Give m(x(p)).\nAnswer: -70584*p + 929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 3:20 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107433.\nAnswer: 3, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*m = 9*c + 129, -34*m - 23*m = -2*c - 60*m + 45 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1304 - 543. Suppose 587 = 2*q + 3*u + 196, -u = -4*q + t. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -494*n - 216*n + 1192*n.\nAnswer: 482*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.129 - 0.171. Which is the closest to 4?  (a) 3  (b) j  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(0 + (-5)\/95). Let z = f + -14. Suppose -6*i - 1 = -4*i + z*c, 4 = i - 2*c. Solve -2*g + 2 = -i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -207*b**3 - 24*b**4 - 1097*b**5 + 0*b**3 + 3*b**4 - 351*b**2 + 1100*b**5.\nAnswer: 3*b**2*(b - 13)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 105, 409, 917, 1629, 2545, 3665, 4989?\n\"Answer: 102*w**2 - 2*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 - 15 - 2*c**2 - 14.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 7, k: 6}. What is prob of sequence kkk?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -75 + 32. Suppose -5*r = -4*g - 500, -g - 146 = r - 12. Let d = y - g. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -23 - 2 - -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 AM and 3:40 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.136 + -1.1344011. What is b rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.2233266 years?\nAnswer: 0.0002233266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/8 and -1\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/14)\/(2409\/(-146)*(-4)\/(-7)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 + 2*d + 3. Let c(i) = -i**2 - 7*i - 14. Suppose -o - 5*j - 29 = 0, o - 3 + 12 = -j. Let n be c(o). What is r(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 - -4)\/(3 + -1). Put 4, n, 3, -29 in increasing order.\nAnswer: -29, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4c (base 15) to base 3.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + m = 10, 8*m = 11*m - 0*m - 48 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q + 8. Calculate t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3360*l - 3360*l + 571 + 7*l**2 - 559.\nAnswer: 7*l**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -19 - (-623 - -631).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.338415 - -0.3054. What is x rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1 + 0. Let m = -123.19 + 120. Let b = 0.19 + m. What is the closest to w in b, -5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-75)\/(1350\/336)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 PM and 1:54 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.87 - 0.37. Let h = 591 - 1772\/3. Which is the nearest to 0.4?  (a) -4\/7  (b) p  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 150*v - 1375. Let i be l(12). Which is smaller: 2\/15 or i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3685 - -3687. What is the nearest to 0.06 in p, -0.4, -4.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21*n**2 - 10*n**2 + 42*n - 12*n**2 wrt n.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**5\/7 + 52*k**4 - 366*k**3\/7.\nAnswer: 2*k**3*(k - 1)*(k + 183)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121 - 89 = -21*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.8058 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 12, 1, 0, 4.\nAnswer: -7, 0, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -7*k - 1. Let v be a(-2). Solve 4*p = 5*i - 3, 4*i + 1 = v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 94 - 133*o + 56 - 23. Let k be a(-5). What is the greatest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = g - 5*y, 2*g + y - 2*y = 21. Let s(m) = -16*m**2 - 7*m - 7. Let f(x) = 5*x**2 + 2*x + 2. Calculate g*f(d) + 4*s(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.19183 - 0.13183. What is the third biggest value in -2.5, 5, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17 and 13826.\nAnswer: -235042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -5. Let u = 7 + -6.832. Let c = 0.468 - u. What is the fourth smallest value in -1\/4, c, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(68)*6 + sqrt(68))\/(1*sqrt(144)).\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 34 = -5*m. Put m, 6, -2 in increasing order.\nAnswer: -2, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/20*25 + (1 - 1). Suppose h - 3*z - 2 = 0, 4*h + 2*z = z - w. Let j(y) = -4*y**2 - y. What is j(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 2 + 4 = 3*z, -3*z + 8 = -2*r. Suppose r*l + 2*d - 4 + 0 = 0, -4*l + 4 = 5*d. Suppose l*j - 5*j = 48. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 71343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 47 - 27. What is the smallest common multiple of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 14*v**2 + 125*v - 74. What is k(-9)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27\/90 - (-4753)\/(-19110).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 340*d**3*r**2 + 3*d**2*r**2 - 6*d**2*r - 387*d**2 wrt d.\nAnswer: 2040*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.5, -1, 2, 2\/3, 74 in decreasing order.\nAnswer: 74, 3, 2, 2\/3, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/3, -2934174, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y and 1 j when four letters picked without replacement from ybbbyjbyjbby.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 3*w - 6. Calculate o(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 669614?\nAnswer: 2, 11, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 40*n + 45*n + 5714, 7576 = -4*t + 4*n. Is t at least as big as -1898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -3*v**2 - 2. Let t(h) = -h**2 + 7*h - 4. Let u be t(5). Let w(k) = -2*k**3 + 13*k**2 - 8*k + 9. Let n be w(u). Give y(n).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/2*(17 - 742\/42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -49660 to the nearest 1000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 8*x**4 + 1341924*x**3 + 670940*x**2 - 3354792*x + 1341920 = 0.\nAnswer: -167740, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 781562 is divided by 260464.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 121 and 2519?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 2*u + 8, 24 = 5*n - 2*u. Suppose 4*p + p + n = 4*k, 0 = -3*p. What is the biggest value in k, 2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 190, 387, 568, 727, 858, 955?\n\"Answer: -w**3 - 2*w**2 + 210*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -23 + -2ae?\nAnswer: -2d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 - 18*n**2 - 17*n + 310. Let u be (4\/6)\/(1\/27). Let v be s(u). Which is the nearest to 0.1?  (a) v  (b) 0.2  (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -10*c**3 + 26*c - 11. Let g(o) = 2*o**3 - 4*o + 1. Determine -b(r) - 6*g(r).\nAnswer: -2*r**3 - 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-117782)\/(-1786) - 66) + (-183)\/133.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -3*g + 762, -4*s = -0*s + 5*g - 1018. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**5 + 86*t**4 - 504*t**3.\nAnswer: -2*t**3*(t - 36)*(t - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {h: 1, p: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 199 * 31\nAnswer: 6169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 30 - 31. Which is the closest to -5?  (a) 2  (b) z  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 208, -0.29, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -11. Let z(q) = q - 22. Let i(t) = 13*g(t) - 6*z(t). Let f(r) = r + 2. Let h(k) = 22*f(k) + 4*i(k). Let u(v) = 6*v. What is h(u(w))?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 840 divided by -15?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6256216600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 810.89 - 802. Let h = s + -9. Which is the biggest value?  (a) -5  (b) h  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -8111921.\nAnswer: 2\/8111921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -117030, -130473, -143928, -157401, -170898, -184425, -197988, -211593?\nAnswer: -225246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 - 4*r**2 + 7*r + 12. Let h be a(-5). Suppose -2*d = h - 2. Suppose 0 = 2*x + f + 11, 6*x = 2*x + 3*f - 17. Sort 16, d, x, 4 in ascending order.\nAnswer: x, d, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) 2872.62  (c) -1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*170\/20*(-21)\/(84\/16).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5606.\nAnswer: 2, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of -q**4\/4 - q**3\/3 - q**2\/2 + q + 15453. Let c(j) = 27*j**3 - 2*j**2 - 2*j + 1. Calculate -2*c(n) + 4*f(n).\nAnswer: -58*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4335, -4342, -4349, -4356, -4363?\nAnswer: -4370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*(3 - 10\/2)*31. Solve -7*l = -131 + j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.03 - -2.03. Let n = -12 - -5. Let b = z + n. Put -1\/6, b, 4 in decreasing order.\nAnswer: 4, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) + -1)**2 + 3.\nAnswer: -6*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 0*b + 2*b = -12, -5*b + 26 = -2*s. Let k(w) = -w + 2 - 1 - 2. List the prime factors of k(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*c + 9*c**2 - 2*c**3 + 3*c**3 - 2 - 8 - 5 + 3 to the form s*c + j*c**2 + g*c**3 + k and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -19 * 0.01.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88 is divided by (10\/(-8) - -2)*208\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1973 - 1972.6. Which is the second biggest value?  (a) -0.4  (b) -7  (c) 5  (d) q  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86 + -84 - (16 - 24\/8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 PM and 7:38 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117*s - 176*s - 61*s + s**2.\nAnswer: s**2 - 120*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -9*h**3 + 5*h**2 - 5*h - 5. Let o(n) = -4*n**3 + 2*n**2 - 2*n - 2. Suppose -v - 87 = -82. What is v*o(y) + 2*m(y)?\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*m - 17 + 4*m + m**2 + 17 to the form q*m**2 + k + y*m and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -60  (b) 2  (c) -14  (d) -0.3  (e) -0.265  (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59 + (-40 - -65) - (8 - 2).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -419*n**5 + n + 55 wrt n.\nAnswer: -8380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5560092141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 54156 + 7?\nAnswer: 54163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -13  (b) -14  (c) 3\/64  (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*z**4 - 194205*z**3 - 3269763*z**2 + 21460521*z - 1251030 = 0. Calculate z.\nAnswer: -3791, -22, 1\/17, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -39*m**3 + 5366817*m**2 - 1532921657*m wrt m.\nAnswer: -234*m + 10733634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 375\/(-75)*4\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.2512658 days?\nAnswer: 21709365.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 15666*c**2 + 2238*c - 4476. Let g(r) = -8*r**2 - r + 2. Determine 2238*g(i) + t(i).\nAnswer: -2238*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 43 = -u, 4*c - 74 = u - 4*u. Let o = 20 - u. Solve -j - 3 - o = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l - 111*l**2 + 3*l + 186*l**2 + 181*l**2.\nAnswer: 256*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1431 and 18005319.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 0 = -3*n + 6, 3*s - 22 = -n. Let r(m) = -m**2 + 8*m - 9. Let p be r(s). Suppose 8*q - 100 = p*q. Calculate the remainder when q is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (6\/(-12))\/(-1))*4\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/4*t - 1\/4*t**2 + 0 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9837539?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 49.9026t in micrograms?\nAnswer: 49902600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 plus 8592?\nAnswer: 8633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 786944?\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 - -2. Let i be -1 + 1 + -3 - (48 - 48). Let p be (26\/(-10) - i)\/((-2)\/(-20)). Sort p, j, 1 in ascending order.\nAnswer: j, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 5*j**4 + 135*j**3 - 470*j**2 - 600*j = 0.\nAnswer: -30, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1540532*h**2 - 1540509*h**2 + 3082677*h**2.\nAnswer: 1636*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/6*(2 - -1). Let d = 4 - 2. Suppose -4*f = d*i + 6, -10 = -3*i + i + 4*f. Put m, 2, i in descending order.\nAnswer: 2, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 105 - 103. Let k be (-4)\/16*8\/14. What is the third smallest value in 11, k, b?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 86*k**4 - 3*k**2 + 707 with respect to k.\nAnswer: 344*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 339 times 1331\nAnswer: 451209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-2*(-2 + sqrt(153)) + -1)**2 + 1 + -1.\nAnswer: -36*sqrt(17) + 620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 232 = 4*j, -5*j + 282 = 2*w - 10. What is the greatest common divisor of 75 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 97689.79 litres?\nAnswer: 97689790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 9*d. Let a(v) = -335*v**2 + 5*v - 3. Calculate a(g(m)).\nAnswer: -27135*m**2 + 45*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c - 2. Let q(d) = -d - 1. Let u(n) = -n**2 + 9*n + 4. Let g(v) = -q(v) + u(v). Let m be g(11). Let p be y(m). Solve 5*a = a - p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-8)\/(-16))\/(2\/12). Suppose 3*h = 5*w - 5485, 0 = 4*w + j*h - h - 4388. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5\/3  (b) 0.3  (c) -4\/3  (d) -453\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8694 and 435528.\nAnswer: 9146088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0*((n\/(n\/(n\/(n*n\/(n\/n**(2\/5))))*n*n))\/n)\/n)\/((n\/n**1*n)\/(n**5\/n)) assuming n is positive.\nAnswer: n**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -88.025637 rounded to 2 decimal places?\nAnswer: -88.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - f = -10. Suppose 10 = -0*y + f*y. Suppose -b + 0*g + 20 = 3*g, y*b - 195 = 4*g. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + -7 - (-7 - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**1)**(-20))**(-1\/35)*(y\/y**(2\/7)*y*y**(-1\/6))\/(y**(2\/5))**(-3\/37) assuming y is positive.\nAnswer: y**(16717\/7770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*v - 3*v + 4*v)*(81*v - 56*v + 76*v + 65*v)*(-2 + 2 - 2)*(10 + 21 + 4) as w*v**2 + o + t*v and give w.\nAnswer: 11620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let x = -61 + 64. Solve 3*d - l = -x*l, -d = -l + 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28 + -23. Suppose 0 = -4*b + 2*k + 16, -2*b + 3*k = k - 6. Suppose 154 = 5*i - q, -m*q - 192 = -b*i - 22. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3332577, 6665155, 9997733, 13330311?\nAnswer: 16662889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 1327 divided by 22.\nAnswer: 1327\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-11167)\/(-26) + (-7)\/(-2) + -2?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 754 a factor of 39593143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -78033, -312135, -702305, -1248543?\n\"Answer: -78034*w**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-693)\/(-110)*(-170)\/(-595)*-2*2\/(-6)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16266*m - 120 = -3*q - 16257*m, m - 1081 = -22*q for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*p**3 - 14*p**3 - 19*p**3.\nAnswer: -42*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*p**4 + 391656*p**3\/5 - 7624499*p**2\/5 + 1533102*p - 432567\/5 = 0.\nAnswer: 3\/50, 1, 37\/2, 3897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5335 by -1067.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5479831*d**2*o**2 + 1493234*d*o - 2*o**2 wrt d?\nAnswer: -10959662*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/3, 0.1, -2\/7, 13.3, -130?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11325, 22651, 33977, 45303, 56629, 67955?\n\"Answer: 11326*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 108549 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 + 30*i**2 - 64*i + 4. Let j be w(-32). Suppose j*f + y = 715, -2*f = -4*f + 3*y + 347. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 28\/8191?  (a) 4  (b) 2\/7  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v**4 + 285*v**3 - 94645*v**2 - 285*v + 94640 = 0. What is v?\nAnswer: -169, -1, 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 5*h - 7100 = -7050, -3*h = -2*j + 46 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4861926 by 2.\nAnswer: 2430963","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -36 - (-9 + 21 + -9 + -12)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -38*q**2 - 11*q + 525. Let y(f) = 7*f**2 + 2*f - 105. Determine 2*l(h) + 11*y(h).\nAnswer: h**2 - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.072 - 2.072. Let z(n) = -3*n - 9. Let l be z(-2). Which is the biggest value?  (a) 0.1  (b) y  (c) 3  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 48\/(-30)*10\/2. Let c be ((-90)\/j)\/(-5)*-4. What is the second derivative of 2*p - 4*p + 9*p + c*p**3 wrt p?\nAnswer: 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -84.171 - -0.171. Let d = j - -83.99926. What is d rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wuwuwupwpmumpmpummu. What is prob of sequence wmp?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 1\/8, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - 13 - 10) + -15 + 1 + 0?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 AM and 5:04 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -102913\/2 or -51458?\nAnswer: -102913\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 3 = -7. Let j be (-8)\/36 + b\/(-9). Find n, given that j + 2*n**3 - 3*n**4 + 0*n + 4\/3*n**5 - 1\/3*n**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16532005\/11021334 - 2\/5510667. Let a be 2\/5 + (-7)\/(-20). Find s such that 0*s - g*s**3 + 0 + a*s**2 + 3\/4*s**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96*((-72)\/(3888\/918) + (-104)\/(-6)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1411, -11233, -37893, -89809, -175399?\nAnswer: -303081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (1*(sqrt(2736) - (sqrt(2736) + 0)))**2 + (1 + (sqrt(2736) - -1*(sqrt(2736)*3 - sqrt(2736))))**2.\nAnswer: 72*sqrt(19) + 24625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3143 and 41398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 5*i = -19, 4*i - i = p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*f - 3*f + 23*f + 11*f in the form y + k*f and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - h**2 + h - 2. Let t = -5 + 5. Let n be y(t). What is the common denominator of n + -1 - (-14)\/(-32) and 77\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4405262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31 + 19. Let x be z + 543 + 0 + 1. Suppose 4*n + 25 = 2*o - 199, 5*o = -4*n + x. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -454*p = -450*p + 20, -60 = 5*h + 13*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 2 s when four letters picked without replacement from cscssccccssscsssscc.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*t + 334*t**2 + 359*t**2 + t - 28*t**2 + 221*t**2 in the form a*t + x + w*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*s**4 + 1020*s**2 wrt s?\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -90 (base 14) to base 15.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -0.4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x - 2. Let u(i) = 3. Let w = -181 + 185. What is w*u(t) + 6*l(t)?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zaalalaiizjlaaij. What is prob of sequence iali?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/376 and -11\/52420.\nAnswer: 4927480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -58 + 10. Suppose -b*r + 2313 = -21*r. Suppose 9*v - 183 - r = 0. What are the prime factors of v?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*i**2 + 7*i**3 + i**2 + i**3 to the form k*i**2 + y + z*i**3 + b*i and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 142510243, 285020481, 427530721, 570040963, 712551207, 855061453, 997571701?\nAnswer: 1140081951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 4058.583 to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 4:29 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(5 + (-3*(-1 + sqrt(475)) - sqrt(475)) + sqrt(475) + 5*(sqrt(475) + -1))**2.\nAnswer: 300*sqrt(19) + 9545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 14, r: 5}. Give prob of picking 1 r and 1 v.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 336*g - 13466 + 13466.\nAnswer: 336*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 5:46 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -583a + -16?\nAnswer: -5850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 180889029 to the nearest integer?\nAnswer: 13449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2 - 3*b**2 + 2 + 5 - 16*b + 9*b + 4*b**2. Determine d(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 269 + -186. Is -2\/5 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -2436\/2623?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 + 2*a - 4 + 4*a - 2*a**2. Let z be j(3). Solve 0 = -2*p + z*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*j - 32*j = -10. What is the second derivative of -5*i - i**5 - j*i**5 + 8*i + 5*i wrt i?\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**2 + 188290*d + 1772656205.\nAnswer: 5*(d + 18829)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 188 - 190 - (1 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -517 (base 12) to base 9.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.134 + -0.534. What is the fourth biggest value in 0.3, -1.4, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5 + -13.5. Let n = w - -12. What is the biggest value in n, 5\/3, -1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1008) + 0 + sqrt(1008) + sqrt(1008))*-6 - sqrt(1008))*-1*5*-2)**2.\nAnswer: 36388800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 2\/13*v**5 - 98\/13*v**3 + 0*v + 96\/13*v**4 + 0 + 0*v**2 = 0.\nAnswer: -49, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 26903\nAnswer: -53806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1)*t*t**(2\/5))\/(t**(1\/2)*t**(1\/5)) assuming t is positive.\nAnswer: t**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uux when three letters picked without replacement from {o: 1, u: 1, k: 2, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -10*h + 306. Let o be c(30). Suppose o*r + 86 = 49*r. Solve 34*m - 36*m = -r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2861d + -1a?\nAnswer: -28638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 40593?\nAnswer: 324744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 - h - 1. Let o be x(1). Let i(j) = j. Let y be i(-2). Which is bigger: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1074+676578\nAnswer: 676577.8926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2755195674 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -296*u**2 + 3*u**4 - 5822 - 421*u + 858*u - 437*u wrt u?\nAnswer: 12*u**3 - 592*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27 - -31. Let n = -3 - -1. Let s = 3 + -3.2. What is the closest to n in x, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36.9 - -37. Let z = -1.027 + -0.023. Let h = z + 0.05. Which is the nearest to x?  (a) h  (b) -1\/5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (12\/(-10))\/(9\/30) - -104. Let d = -97 + y. Solve -2*l + 6 = d*a - 2*a, 4*a = -3*l + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*z = 58 - 170 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1382 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 847822.\nAnswer: 2, 73, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -2*b**3 - 6*b. Let h(u) be the third derivative of -u**6\/120 - u**4\/6 + 3*u**2. Let y(j) = 8*h(j) - 5*x(j). Find the second derivative of y(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of -w**5\/30 - w**4\/12 + w**3\/6 + 3*w**2. Let n be i(1). Is 16 a factor of (16\/10)\/(n\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 4*z - 148. Let n be g(38). Let c(h) = n*h - 10*h + 13*h + 8*h. Give c(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44154622.\nAnswer: 2, 41, 538471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 25228 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2427 divided by 6.\nAnswer: -809\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/6*(-20367)\/(-2263)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 1669*m + 86634. Determine t(-52).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4123 - 2562. Let s = -9 + 1. What is the units digit of (-2)\/s - y\/(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 4*y - 6. Suppose -20 - 5 = -5*t. Suppose t*h - 12 = 2*h. Does 5 divide w(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -2*s**2\/15 + 178*s\/15 + 364\/15 = 0.\nAnswer: -2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57 - 60. Let h(s) = 27*s**2 + 9*s - 3. List the prime factors of h(m).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12\/7 + -9\/7. Let m = -117 + 120. Let g = 626 - 624. Which is the nearest to g?  (a) m  (b) 0.3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {q: 1, l: 3, d: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14039 - 14036. Find j such that -72\/7*j - 4*j**4 - 4*j**2 - 16\/7 + 90\/7*j**w = 0.\nAnswer: -1\/2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**4 + t**3 - t**2. Let g(i) = 2*i**5 + 4*i**3 + 8*i**2 - 8. Let j be (1\/2)\/(23\/46). Let l(y) = j*g(y) - 6*m(y). Solve l(c) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 - 15. Suppose 12 = 4*b - 3*d + 29, -i*d + 11 = -b. Is (13 - (b - -5)) + 0 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1397374847 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 7 - 1. Suppose -w + 1 = -2. Suppose -w*z = -2*z. Solve 5*n - 4*n + o = z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*m - m - 5*m + 0*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-2 - (-5 + 9)) + -5 + 9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 4*m + 4*m. Suppose m = d - 3*d - 6, 3*q = -2*d + 3. Solve y - 1 = q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of -35*n**4\/2 - 4*n**3\/3 + n**2 + 2*n + 2. Let y be h(2). Is 17 a factor of 10\/35 - y\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/198 or 0.33063?\nAnswer: -1\/198","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -757, -1515, -2273, -3031?\n\"Answer: -758*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 13*d - 11. Let c(m) = 2*m - 3. Let s(z) = -5*c(z) + q(z). What is s(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 187*i + 82*i)*(0*i + 3*i - 2*i)*(-8*i + 44 - 44)*(-5 + 3 - 4) to the form s*i + j + c*i**3 + v*i**2 and give c.\nAnswer: 12912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -55210 (base 7) in base 12?\nAnswer: -8001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 761019121?\nAnswer: 761019121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d - 3*d + 2*d)*(0*d + 2*d + 0*d) + (2*d**2 + 0*d**2 - d**2)*(3 - 2 + 22).\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 129 a factor of 88967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1*7549 + -4 + (-299)\/(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2169, 2167, 2165, 2163, 2161, 2159?\nAnswer: 2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 844 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: Expand (4*a**2 - a**2 - 4*a**2)*(246*a**2 - 45*a**2 - 123*a**2 + 2217*a**2) + a**2 - a**2 + 2*a**4.\nAnswer: -2293*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-4))\/(75\/120)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1207 - -1287. Let j(y) = 2*y**3 - y**2 + 2*y. Let m be j(2). Calculate the greatest common divisor of m and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9\/(-2)*(-16)\/(-12). What are the prime factors of ((-269)\/i + 2\/3)*42?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, a: 4}. Give prob of picking 4 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 + 9*y**2 + y + 14. Let o(s) be the second derivative of -s**5\/20 - s**3\/6 - s**2\/2 - 2*s + 42. Let c(k) = 2*o(k) + u(k). Give c(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p**3 + 2*p**3 + 2*p**3 - 16*p**2.\nAnswer: p**3 - 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 840 and 984.\nAnswer: 34440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6160602 (base 7) to base 6.\nAnswer: 23445523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -6*z**2 - 11*z - 1. Let d(c) = 7*c**2 + 12*c + 2. Let l(r) = -5*d(r) - 6*q(r). Determine l(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11879581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i - 18. Let u(h) = 7 - 2659*h + 41 + 2661*h. Let j(f) = -8*m(f) - 3*u(f). Let s(n) be the second derivative of -5*n**4\/12 + n. Give s(j(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 9*f - 7938. What is the greatest common divisor of 63 and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 - q + 1. Let c(r) = 6*r**2 + 9*r - 4. Let t(a) = c(a) + 4*i(a). What are the prime factors of t(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 5:24 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.81038ml to litres.\nAnswer: 0.00981038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24024 by -273.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 98 and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 14 - 7 - 2 + 3*j. Let g be x(-5). Let r = 3 - g. Calculate the greatest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -78417, -313646, -705695, -1254564, -1960253, -2822762, -3842091?\nAnswer: -5018240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 416 = 3*s + 922, -4*s + 680 = 2*a. Let z(n) = 164*n - a*n + 173*n. What is z(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**2 + 3 - 2 - l**2)*(3 - 3 - 2)*(3*l + 0*l - 2*l).\nAnswer: -4*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20366660 (base 7) to base 10.\nAnswer: 1714307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of 14*p**5\/3 + 8*p**2. Let s(f) be the first derivative of f**2 + 1447. What is s(g(h))?\nAnswer: 560*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**5 + 0*l**3 + 0*l**3 + (-2*l**4 - 3*l**4 + 3*l**4)*(1 - 1 + l) + 3 - 2*l**5 - 3 - 2*l**5 + 4*l**5 + 0*l**5 - 6*l**5 - 19*l**5 + 6*l**5.\nAnswer: -22*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 5*w = 10, -3*f - 4*w + 2 - 13 = 0. Let r(z) = f + 9 + z**2 - 5. What is r(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the third derivative of -m**4\/6 - 4*m**3\/3 - m**2. Let u be z(-7). What is the greatest common divisor of 30 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q\/q**(4\/13)))\/q)\/q*q)\/(q\/q**(-9))*q\/(q\/q**(2\/15))*q*q**(4\/9)\/q assuming q is positive.\nAnswer: q**(-5917\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8029443 by 8029443.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -38*u + 9. Let v(o) = 22*o - 5. Determine -4*j(l) - 7*v(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -238 = -52*l + 155 - 81. Let c(u) = -u**3 + 5*u**2 + 5*u - 3. Calculate c(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -175867.3 rounded to the nearest 100?\nAnswer: -175900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.06 + -0.02. Let f = -2.04 + l. Which is the biggest value?  (a) 0.3  (b) -0.5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14245 - -14253. What is the closest to 0.5 in 0.1, 0, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*d**2 + 0*d**2 - 6*d**2 - 3*d**2 - 2*d**3 + 117*d wrt d?\nAnswer: -12*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*t + 15 = 0. Suppose -t*f = -7 - 13. Let h = f + 1. Solve p + h = -0*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 bigger than -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/((-1)\/(-14)*2). Determine b so that m - 7 + 2*b**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636511 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: Simplify (-5 + 4*(sqrt(931)*1 + (-4 + (sqrt(19) - (-1 + sqrt(19))) - sqrt(19))))**2.\nAnswer: -816*sqrt(19) + 11233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 - 2*y + 2. Let h be m(3). Let c be (-1)\/(-11) - -3*430\/330. Solve -5*i + o + 28 = h*o, -5*i + 12 = -c*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 0, 158, 562, 1326, 2564?\n\"Answer: 19*s**3 + 9*s**2 - 2*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 3, -702, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 AM and 5:40 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (8 - 13) + 6 + 6 + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5}. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 100 = 5*m, -4*m + 44 - 28 = -4*v. Let -93\/7*f + 18\/7 + 156\/7*f**2 - m*f**3 = 0. Calculate f.\nAnswer: 1\/2, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 b, and 1 c when three letters picked without replacement from icboorccc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 4\/59  (b) -198  (c) -1\/2  (d) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s**2. Suppose -205 = -7*m - 100. Let d(k) = 46*k - 14*k - 10*k - m*k. What is d(r(h))?\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16.559 and 5?\nAnswer: 82.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -127.56 + 118. Let t = w + 2.56. Which is the second smallest value?  (a) 6  (b) -2\/15  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -13 in increasing order.\nAnswer: -13, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 77\/(18326\/170) - (-2)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -173296, -8 in descending order.\nAnswer: -6, -8, -173296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 67*o**6 + 70*o**6 - 82*o**6 + 7*o + 10*o**2 wrt o.\nAnswer: 6600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*6*(sqrt(128)*-2)**2*3.\nAnswer: -18432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*y + 4*h - 54636 + 54695, -5*h - 22 = 3*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9561*c + 9575*c - 6552 = 0. Which is smaller: 469 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -3*l + 275, 48*l + 73 = j + 45*l. Let m = 403 - 232. Calculate the remainder when m is divided by j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {q: 2, u: 3, f: 3, b: 5, e: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-0.86.\nAnswer: -2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3312 (base 11) to base 16.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 145, -3, -0.07.\nAnswer: -3, -0.07, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 25508662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**22*n)\/n*n**(-22)\/n*((n**(4\/3)\/n)\/n)**(1\/4) assuming n is positive.\nAnswer: n**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 42 - 69. Let q = 1789 - 1789. Which is the nearest to q?  (a) 3  (b) 2\/5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -12, 1, 30, -42 in decreasing order.\nAnswer: 30, 1, 0, -12, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.4 - -33.4. Let o = -11.5 + g. Let h = o - 18.5000081. Round h to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 - (-46)\/(-14) - -2. Let u = -3 + 1. Let o = 2.5 + u. What is the nearest to 0 in o, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00007548078 to six dps.\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 727 is divided by 241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + 0*t - 2*t)*(-26*t + 88*t - 27*t)*(10 + 10 + 1).\nAnswer: -1470*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence umd when three letters picked without replacement from {u: 4, m: 6, d: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, c: 1, s: 2, g: 3, r: 3, x: 3}. Give prob of picking 1 r and 1 v.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a - 14. Let k be z(-6). Let f = -16 - k. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b65316 (base 14) to base 10\nAnswer: -6160888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**0)\/g*g**(2\/9)\/g*(g*g**(-1\/4)*g)**(-19))\/((g**4*g*(g**7\/g)\/g)\/((g\/(g*g**(-2\/7)\/g))\/g**(-1))) assuming g is positive.\nAnswer: g**(-10519\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 3*q - 3. Suppose 0 = 2*l - 2*r, -5*r - q = -18. List the prime factors of ((-3)\/2)\/(l\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40496299.\nAnswer: 569, 71171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -3520000 to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(19) + -1)**2 + sqrt(19) - (sqrt(19)*2 + -5 - sqrt(19)) - (-2*-1*(-3 + sqrt(19))*3)**2.\nAnswer: -926 + 220*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p*p**(6\/5)\/p*(p*p*(p*p**7)\/p)\/p)\/(p\/(p\/(p\/(p\/p**7)))*p**(4\/5)*p))**9 assuming p is positive.\nAnswer: p**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8 - (-1 + 3\/1). Let w(j) = -20*j**3 + j**2. Let i be w(-1). What are the prime factors of p\/i - (-290)\/14?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-45 - 3) + (-18 - -41) + 134.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 - -7. Let b(c) = -27*c**3 + 5*c**2 - 2 - 22*c**3 + 48*c**3 - 4*c - 13*c**2. Let j be b(h). Round j to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 6*n**3 + 24*n**2 + 102*n + 13. Calculate y(-4).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 98\/(-2) - (-82)\/(-287)*-63?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 8:10 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -25.92?  (a) 52  (b) -5  (c) -0.3  (d) 2\/5  (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 1587 + 300*r**2 + 1348*r - 2116*r + 1425*r + 723*r = 0. What is r?\nAnswer: -23\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43032896 divided by -21136?\nAnswer: 2036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-4)*0\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 36 = 3*i. Let h(w) = -w + 20. Let m be h(i). Let s be (-2 + 1)\/((-8)\/m). Calculate the highest common divisor of s and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -410 divided by -41.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/1908 and 79\/18.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18009498*a**3 + 183669602*a wrt a.\nAnswer: -108056988*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (80\/(-160))\/(15\/70)*(-150)\/(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 345936739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-174)\/(-18) + (5\/(-3))\/(-5). Which is the nearest to o?  (a) 4  (b) -5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 827341 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/(-6))\/((-1)\/3). Suppose -90 = -l*o + o. Let u = o + -50. Calculate the highest common divisor of u and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -3, 315, -4 in ascending order.\nAnswer: -34, -4, -3, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of x**5\/15 + 29*x**4\/6 + 93*x**2 + 5. Suppose w(n) = 0. What is n?\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/((-2)\/8) + 1. Let u(n) = -n**3 + 4*n**2 + 4*n + 7. Let s be u(r). Put s, -2, -4, -3 in increasing order.\nAnswer: -4, -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 3:14 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*m + 3\/2*m**2 + 24.\nAnswer: 3*(m - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqquqnnuuqqnun. Give prob of picking 3 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 270688603*j**3 - 3*j**2 - 287235411*j?\nAnswer: 1624131618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z - 1. Let u(h) = 3*h + 3. Let g(p) = -11*l(p) - 4*u(p). Calculate g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b - 1. Let w be -1 - (-3*1 - 1). Let q be h(w). Put q, -1, 4 in decreasing order.\nAnswer: q, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/(-5))\/(2\/(-15)). Let p be 2\/r - 6\/27. Which is smaller: p or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a - 236 = -2*c - 3*a, -2*a = 2*c - 218. Suppose -4*u - 3*b - b = -c, 2*u = b + 41. Solve 0 = -3*y - u + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3327*1)\/(468\/3120)?\nAnswer: 2, 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 + 8*x**2 + 6*x - 8. Let l be n(-7). Let v be (l - -3) + (0 - 0). Solve -3 = v*a + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10767 or -10770?\nAnswer: -10770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (-80)\/15)*8\/(-84) - 1540\/(-126)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*t**3 - 498329*t**2 + 138666*t?\nAnswer: 12*t - 996658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12304, 12300, 12296, 12292, 12288?\nAnswer: 12284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.098 + 1.098. Put -0.3, p, -0.2, 0.17 in decreasing order.\nAnswer: p, 0.17, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 8:32 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2815010 divided by -563002.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*b - 378*b + 2712 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39400642 and 4902?\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -150*l*s**3 - 75*l*s - l + 2 wrt s.\nAnswer: -900*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1345.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -27c5 (base 13) to base 7.\nAnswer: -22505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + 0. Suppose s*b = 17 + 3. Let i(p) = -3*p - 2. Calculate the remainder when b is divided by i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**3\/2 - t**2\/2 + 10*t - 6.\nAnswer: -(t - 2)*(t + 3)*(3*t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -31*c**2 + 6*c. Let b(p) = p. Calculate -6*b(h) + x(h).\nAnswer: -31*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**4 - g**3 + g**2 + g - 1. Let d(s) = 14*s**4 - s**3 + s**2 + s - 16. Let j(l) = -d(l) + o(l). Differentiate j(t) wrt t.\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 195*z**3 - 2*z - 5*z + z**2 + 4*z + 2 + 0*z. Does 23 divide o(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.649 + 0.76.\nAnswer: 2.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7520, 9, -1, 3, 1, 2, -5 in increasing order.\nAnswer: -5, -1, 1, 2, 3, 9, 7520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-3)\/z**0)\/((z\/z**0)\/z*z)**10)**29 assuming z is positive.\nAnswer: z**(-377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 3:41 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by 12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 divided by 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7.53 - 6.6. Let r = 6.93 - l. Which is the third biggest value?  (a) r  (b) 0  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15 - 630331233?\nAnswer: -630331251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -119, -8, 1\/20, 4.\nAnswer: -119, -8, 1\/20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 437 = 14*v + 325. Which is the nearest to 0?  (a) -2\/3  (b) v  (c) 0.4  (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/24241 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6675791939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**2 + 436*t - 3232.\nAnswer: -4*(t - 101)*(t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 5:14 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6, t: 2, g: 1, c: 1, d: 3}. What is prob of picking 2 d?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of -16*w**2 + 27*w**4 - 6\/7*w**7 + w + 5 + 79\/5*w**5 + 28\/3*w**3 + 22\/15*w**6. Solve f(d) = 0 for d.\nAnswer: -1, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/7?  (a) 1\/34  (b) -2  (c) 0.3  (d) -5  (e) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 + 10*l + 160. Calculate d(21).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -11147*k**2 - 55752*k - 4. Give a(-5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13518 - -42031. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3079 - -3081.0835. Let a = q - 1.853535. Let j = -0.23 + a. Round j to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 364794.9s?\nAnswer: 6079.915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11682732 and 1176.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -102 - 220. Let b = z - -170. Let f = -57 - b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -9934, -79334, -267628, -634264, -1238690, -2140354, -3398704?\n\"Answer: -9908*y**3 + y**2 - 47*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3042386 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 255417696 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*y + 1\/2*y**4 + 0 + 3\/4*y**5 - 1\/4*y**3 + 0*y**2 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12494*x**5 + 13782*x**2 + 2*x wrt x?\nAnswer: -749640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3679845 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 4*l**2 + 20*l + 16. Let q be t(-5). Let p be 0 - -1 - (q - 18). Calculate the remainder when (6 - p) + 44 - -4 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 104770048?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146*b - 2175 = -b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*t - 105 - 63. Is t\/6*-48*10 - 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 (base 6) in base 14?\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1105, -996, -741, -346, 183?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, f: 1, c: 11}. What is prob of picking 1 c and 3 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = w + w - 4*t, 22 = 4*w + 2*t. Suppose 2*a = 5*m - 0*a - 636, 2*a = w. Let h = 138 - m. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = 4*n - 20, 0 = 34330*n - 34368*n - 2*t + 226 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36909 and 3986172.\nAnswer: 3986172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 + 0. Let y be 1589996\/d - 2\/(-5). Round y to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k + 4. Let d(j) = -j**2 - j + 1. Let c be d(2). Determine g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.469045 - -5.47. Round g to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16364 + -11367. Calculate the greatest common divisor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14\/15*y**2 + 4\/15*y + 2\/5*y**3 + 0.\nAnswer: 2*y*(y - 2)*(3*y - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -36124  (b) -0.4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 7*n - 2*n - 27, -5*n = 2*t - 23. Let c(m) = m**2 + 1. Let f be c(t). Solve 0*s = -2*i - f*s + 10, 3*s - 6 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 + 15*w**2 + w - 13. Suppose -60 = -37*d + 33*d. Let b be c(d). Solve -4*z - 5*x + 5 = 0, -z - z + b*x + 16 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1848, -749, -3346, -5943, -8540, -11137?\n\"Answer: -2597*h + 4445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 12 = -k, 12 = 48*t - 45*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2 from -23608839784096.\nAnswer: -23608839784098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 481*z**3 - 5*z**2 - 16*z + 4. Let q(p) = -485*p**3 + 6*p**2 + 17*p - 5. Determine -5*b(v) - 4*q(v).\nAnswer: -465*v**3 + v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 6862, 6858, 6866, 6892, 6942, 7022, 7138?\n\"Answer: h**3 - 11*h + 6872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 118 - 114. Let t = -0.96 - -0.66. Which is the fourth biggest value?  (a) t  (b) w  (c) -4  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5028752633?\nAnswer: 5028752633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 38005\/7 + -5515. Let o(c) = -10*c - 6. Let s be o(8). Do s and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 1, -11115\/2, 280?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2*t - 6. Let c be b(4). Let p be ((-172)\/(-215))\/((-3)\/15). Sort 4, 0, c, p.\nAnswer: p, 0, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.5 and -76.\nAnswer: -76.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(1\/2)\/c)**(-1\/3))**2*(c**(-1))**31*(c**(1\/3)\/c)**(-28) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -3*n + 63. Let m be z(22). Let w(t) = t**3 + 3*t**2 - 1. Let b be w(-3). Let u = b - m. Solve -4*c = r - 5, u*r + 0*r - 2*c + 10 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 4*p + 4108 = 0, -o + 4108 = p + 4*p. Is o a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 0  (c) -3  (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 483 - 192. Is q at least -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6*0.06680781\nAnswer: -0.40084686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v**2 - 23*v + 3. Let m(k) = k**2 + 12*k - 2. Let g(z) = -7*m(z) - 3*p(z). List the prime factors of g(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2. Suppose 8*v - 7*v = 8. Suppose 5*b - 4*b - 20 = 0. Let m(x) = 2*x - b*x - v*x + 6*x. What is m(f(w))?\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - 2*c)*(1 + 0 - 2) - 3*c - 2*c + 6*c + (3 - 3 - 2)*(-11 + 8 + 11)*(20*c - 8*c + 9*c) in the form t*c + r and give t.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 50764, 50768, 50776, 50788, 50804, 50824, 50848?\n\"Answer: 2*m**2 - 2*m + 50764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-36)*p)\/(p*p**(-20)\/p))\/(p\/((p*p**(-3\/5))\/p)*p**(1\/4)*p) assuming p is positive.\nAnswer: p**(-357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z - 5, 3*l + 2*z - 3 = -2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 92.37851 grams in nanograms?\nAnswer: 92378510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 9 + 13*q**2 + 5 - 17*q**2 + 19*q + 6*q**2. Let n be f(-9). Solve -5 = 2*u - n*a, 2*u - 3*a = -7*a + 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**4\/4 - 474*k**3 = 0. What is k?\nAnswer: 0, 1896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 1198 = 5*n - 3*b, 1195 = 5*n - 5*b. Suppose n = 4*q + 1720. Round q to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28 - 57\/2. Suppose m - p + 0 - 3 = 0, -2*m = -5*p. What is the smallest value in m, 0.06, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 544*d - 896 = 320*d + 280*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 338 - 338.0274. Let c = 0.0326 - m. Sort 1, 2, c, -0.6.\nAnswer: -0.6, c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 + 10*u - 10. Determine d(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 685.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27293 - -27303. Which is the nearest to u?  (a) -17  (b) 0.3  (c) 0.1  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of -37*p**4\/24 - 7*p**3\/3 - 18*p**2. Let t be d(-5). Suppose -27*i = -26*i - t. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 0.5  (b) -414  (c) 1\/3  (d) 0.729  (e) -0.5  (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 38*y + 2. Determine f(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 615*r**2 - 37*r**2 + 434*r**2.\nAnswer: 1012*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110771 to the power of 1\/2, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from {i: 6, n: 1, j: 1, a: 5, c: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pagpggpapappp. What is prob of sequence pgap?\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/6, 0.5, -0.21, -2\/7, 0.03, -22\/7, -2?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/3, -358, -2\/5, -0.3, 3581 in descending order.\nAnswer: 3581, -0.3, -2\/5, -4\/3, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 35748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}