diff --git "a/data/dm_maths/full_data_1/10486_11255.jsonl" "b/data/dm_maths/full_data_1/10486_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10486_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 6, what is -4225 - -5?\nAnswer: -4220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1930*i + 2760 = -3030 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 8 + 12. What is the third derivative of -2*c**6 - u*c + 10*c + c**2 wrt c?\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g - 161. Let p(i) = 3*i - 163. Determine -3*p(v) + 2*t(v).\nAnswer: -v + 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + l + 3. Suppose -2524 = -13*p + 1298. Let x = p - 297. What is m(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1216686008 + -0.12168. What is r rounded to 7 dps?\nAnswer: -0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q + 69. Let b be d(8). Let j be 18\/b + 7250004\/(-10). Round j to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 8:25 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1584595442 to the nearest integer?\nAnswer: 39807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5\/5 + 81*o**4\/5 - 474*o**3\/5 + 318*o**2\/5 + 477*o\/5 - 399\/5 = 0 for o.\nAnswer: -1, 1, 7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15368 - -15707. Calculate the remainder when 1035 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**5\/5 + 3*n. Let m be k(-1). Suppose 0*d + 228 = m*d. Calculate the highest common factor of d and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-40))\/(54\/362340*22).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29 - 3)\/(4 - 6). Suppose -14*t + i*t = 28. What is the second derivative of -89 + t*w**2 - 14*w + 89 wrt w?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 96\/(-40)*-5 - (-10)\/(-2). Solve 8*r - i*r = -5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-1 - -5) + 23 + (-21 - 1) + 79\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -20. Suppose 2*w + 2*w - 69 = -i, 0 = -3*i + 3. Let l = o + w. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6391, -12781, -19171, -25561?\nAnswer: -31951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33899 (base 11) to base 7.\nAnswer: 262556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17191 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2)*(m**2\/m)\/m)\/((m**(-6)*m)\/m*m**(-3\/2)*m) assuming m is positive.\nAnswer: m**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/4 - 12\/(-8). Let b be 84\/r*3\/6. Let u = 3 - b. What is the third smallest value in 0.1, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 106 = -3*t - 112, 0 = 4*f + 2*t - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12221417\/517 - 23639. Let o = -59949\/5170 - p. Calculate the common denominator of o and -19\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 2 (c) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 17*c - 1731. Calculate k(-34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + f + 11. Suppose 0 = -4*r - 0 - 12, -4*r = -5*c + 12. What are the prime factors of n(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4115930+82\nAnswer: -4115848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 15*v**3 - 330*v**2 + 18*v - 395. Let a be y(22). Suppose 10 = 4*o + 2. Let i be o + (-2)\/(-8)*-9. What is the closest to i in a, 7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, c: 4, t: 2, i: 4, x: 4}. What is prob of picking 1 c, 1 i, and 1 x?\nAnswer: 16\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: What is the value of (4\/30)\/(128\/320)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -815 divided by 101?\nAnswer: -815\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**6\/120 + 7*x**5\/60 + x**4\/3 + 7*x**3\/6 - x**2. Let c be 6 - 12\/3 - -6. What is the lowest common multiple of z(c) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 12:01 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**3 + 10674*a**2 - 21357*a + 10680 = 0.\nAnswer: -3560, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + p**2 - 1. Let z(f) = 5*f**3 - 3*f**2 + 10*f - 10. Let w(b) = 6*a(b) - z(b). What is the remainder when 10 is divided by w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 4*i**2 + 3*i + 2. Let c be a(-4). Let v = 716 - 746. Let h be -60*((-2)\/c + 4406\/v). Round h to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + a - 11. Let g be c(0). Let o = -25331.8 - -25331. Sort 4, o, g, 3.\nAnswer: g, o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 1086026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 64*o**2. Let l(b) be the second derivative of -5*b**3\/6 + 568*b. What is l(q(h))?\nAnswer: -320*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 - 736\/996. Let m = d - -127\/2905. Let k = -74\/105 + m. Find the common denominator of k and -34\/63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5*s + 20 - 105 = 0, 99*s + 179 = -11*o + 102*s for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200913 is divided by 66953?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 9212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1127923793*i**2 + 435183521*i?\nAnswer: 2255847586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1385072273 to 5 dps.\nAnswer: -0.13851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45575 rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*b + 17 = 0, -11 = -4*v - 4*b - 15. Calculate the remainder when (0 - 18)\/(-2) + 0 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0258 + 0.6742. What is the closest to -0.1 in l, -2\/9, 4, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 6. Let o be w(6). Let z(b) = b + 2101. Is z(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1091378337 and 0.0376.\nAnswer: 1091378337.0376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2214031 (base 7) to base 11\nAnswer: 176986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 3*b**2 - 7*b + 10. Let o be w(4). Calculate the remainder when 1 - -81*2\/2 is divided by (o\/(-3))\/((182\/(-357))\/(-13)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 22. Let g be v(-7). Let z be (g*-3 - (-5 + -1)) + 255. What is z rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 2*k - 1. Let p be o(4). Let c = 25 - p. Solve -n = 3*q - 8, c - 4 = n + 5*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 1b039?\nAnswer: 1b035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 f when three letters picked without replacement from sssmfgsssssfsfffssg.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/3 equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.006*106054\nAnswer: 636.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3338160541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -3*q + 9, -293 = -3*y - q - 290 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 268 = 72. What is the least common multiple of 110 and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 321.3243 months?\nAnswer: 0.026777025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 138 = -60. Let n = v - -143. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -3*i + i - 3, -2*r - 26 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, 7, -5, 5 in decreasing order.\nAnswer: 7, 5, -5, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/16 or -2?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 2312793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (12 - 21 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**6\/60 - g**5\/60 + g**4\/24 - g**3\/6 + 27*g**2. Calculate j(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 16*p**2 - 14*p + 61. Suppose 4*z = 3*n - 91, 5*n - z = -0*n + 163. Calculate the remainder when c(4) is divided by n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 2:13 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 93*v + 8 - 17 + 4 + 7.\nAnswer: 93*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93195*z**2 - 1323*z - 16?\nAnswer: -186390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/3*(0 - -33). Let k = 57 + u. Solve -2*g = 5*m - 27 - 4, 3*m + 3*g - k = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/((-2025)\/(-60)) - 2054\/(-39)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318206 is divided by 159077?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.1, -3, -0.07, -2\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(0*s + s - 4*s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-1132)\/2)*20\/(-40). Let i = 291 - r. Calculate the remainder when i is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -482 - -495. Solve -4*p - z*p = 68 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -3, -1 in descending order.\nAnswer: -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.52797 to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - i**2 - i + 2. Give y(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 611, 475, 329, 167, -17, -229, -475, -761?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120 (base 5) to base 3.\nAnswer: -12221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1709 - -596438\/349. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -70?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 3*k + 2*k)*(2 + 2*k - 2 + (0 + 2 - 1)*(0 + 0 - k) + 2*k + 0*k - 5*k) - 4*k**2 - 2*k**2 + 4*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2714 divided by 3\nAnswer: 2714\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 9*b**2 + 7*b + 10. Let p be t(8). Suppose -20 = v + p. Let l = v - -117. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 + 13*o + 12. Let q be r(4). Which is smaller: q or 42\/43?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22\/(-330)*36)\/(3*-1). Put v, -6, 1\/8, -1, -0.5 in decreasing order.\nAnswer: v, 1\/8, -0.5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/1 + (-112)\/(-80))*10. Suppose 0 = r + 2*r + 15, -4*r = y*m + 8. Sort m, 14, 1, 2.\nAnswer: 1, 2, m, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 17671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.45 + 0.15. Let r = 2.5 + -2. Which is the third smallest value? (a) r (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 != -31503\/6788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -481, 1, -5, -1 in decreasing order.\nAnswer: 2, 1, -1, -5, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6790539855?\nAnswer: 3, 5, 11, 2063, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - 1) + 13 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q - 3*q + 9170 = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**5*y**2 - 410*c**2*y**2 + 3*c*y**2 - 5*y**2 + 2*y + 2 wrt c.\nAnswer: 60*c**3*y**2 - 820*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1305 divided by 142.\nAnswer: -1305\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372636007.\nAnswer: 61, 6108787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1102500020 (base 6) to base 11\nAnswer: 6790851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*(-60)\/8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q - 90. Let t(r) = 21*r + 162. Let n(l) = -9*g(l) - 5*t(l). Let d(c) = -2*c - 6. Determine n(d(i)).\nAnswer: 12*i + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 2. Let j be w(2). Suppose -4*m = -j - 10. Solve 2*t + 3*s + 14 = -0*s, -m*t = -4*s - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1, 10 in descending order.\nAnswer: 10, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(363) + 4.\nAnswer: 4 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1458 is divided by 88?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.1, -0.3 in decreasing order.\nAnswer: -0.1, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -229. Suppose 2*r = 5*i - p, 4*i + 4*r = 2*r + 128. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 22*j**2 + 22*j - 23. Suppose -3*v + 5*v = -46. Let g be k(v). Suppose g = 14*u - 7*u. Solve -x - 2 + 7 = u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/42 - (-886)\/7. Let l be (-165)\/(-12) + 2\/8. What is the highest common divisor of l and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-6 - 44 - (2 + 0)). Let n = 92 - i. What is the remainder when n is divided by (-1 - -4) + -3 + 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2. Let w(p) = 118607*p**2 - 6*p - 21. What is w(q(l))?\nAnswer: 2965175*l**4 - 30*l**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44800 and 30741200?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 867 smaller than 5543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in -4, 0.4, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a*a\/(a\/(a*a**(-11)))))*a*a\/(a\/(((a**(1\/9)\/a*a)\/a)\/a*a))*(a*((a**2\/a)\/a*a)\/a)\/(a**5*a) assuming a is positive.\nAnswer: a**(-125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -63184 (base 9) to base 6\nAnswer: -521034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/19*161310\/16980\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 3 + 3 + (-3 + 1 + 0)*(20 - 10 + 19)*(10*q - q + 5*q) - q - 2*q - 4*q.\nAnswer: -817*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -21 + -2 - -10 - ((-7 - -13) + -112)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/83868 and 85\/348?\nAnswer: 83868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 1. Let m(p) = 3*p - 1. Let s(r) = 4*j(r) + 4*m(r). Let y(q) = -5*q**2. What is y(s(c))?\nAnswer: -320*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/12 + 5\/10. Let d = 31 - 46.3. Let o = 15 + d. Which is the biggest value? (a) o (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 3 (c) -1\/2 (d) 272 (e) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1394\/5 + -277. Let r be (-8)\/6 + 1 - 5\/(-15). Which is the third smallest value? (a) r (b) h (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, -31, 2 in descending order.\nAnswer: 2, -2, -11, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**3 + 34*h**2 - 15*h - 14. Let i be r(8). Let q(a) = 2*a + 25. Give q(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4011*o - 4016*o - s + 52 = 0, 4*s = -8*o + 148 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-350634466\nAnswer: 175317233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a5d - -5?\nAnswer: -8a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/6, 5, -43.7, 4, -0.1, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (81 - (55 - -10))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 6\/65 (c) -1\/4 (d) -1\/3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**2. Let r(f) = -44829*f. Calculate j(r(i)).\nAnswer: -14067474687*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 54268.7um?\nAnswer: 0.0542687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/8 + 13003215*n\/2 + 56361200112075\/2.\nAnswer: 3*(n + 8668810)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5))**(-3\/16))**(2\/5)*(f**(-6)*f\/(f\/(f*f**(3\/7)))*f)**42 assuming f is positive.\nAnswer: f**(-14997\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/7 (b) -712.26 (c) 4 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -9. Let t = -0.09 - -0.29. What is the smallest value in 4, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99348960845 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: 1, j: 11}. What is prob of picking 3 j and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -5*s + 101 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 31*n. Let l(j) be the second derivative of j**6\/120 + 191*j**3\/6 - 36*j. Let h(b) be the second derivative of l(b). What is h(x(o))?\nAnswer: 2883*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 146877 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/986 and (-1150)\/276*(-8)\/58.\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 734\/213 - -77081\/852. Let f = 9383\/15 + -3666\/5. Let d = f + j. Find the common denominator of d and 7\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 14\/5 in increasing order.\nAnswer: 0, 1, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -5, -0.15, 3?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7908 and 125648235?\nAnswer: 502592940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 573b65 (base 12) to base 11.\nAnswer: 873a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.977577 millilitres?\nAnswer: 0.007977577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 11 + 4 + 1 - 6280*f in the form n*f + l and give n.\nAnswer: -6280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-8\/3))\/(((b*b**(1\/3))\/b)\/b))\/(b**(2\/3)*b)**18)**(-44) assuming b is positive.\nAnswer: b**(3388\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/2)\/2 + 0. Suppose 12 - 70 = -o*r + 3*g, 3*g - 70 = -4*r. What is the greatest common factor of 64 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 - 151 = 5*p. Suppose 16*m = 15*m + 1. Let y be -1*(4 - m - 4) + -73. Does y = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omooopvmvomomo. Give prob of sequence pmo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.427249\nAnswer: -2.136245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000 - 1011000011000?\nAnswer: -1011001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1791823\/392 >= -4570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 541.20798ns?\nAnswer: 0.00000000000626398125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -50*w + 39. Let b be f(1). Let h = 2 - -2. Let m be (4\/16)\/(3 + b\/h). Solve -4*z = -m + 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*f - 1486 - 834 = -79 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 2*t - 25. Let q(u) = -2*u - 7. Let n be q(t). Factor 0*x**2 + 2*x**2 - n*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**3 + 3*f**2 - 23*f + 18. Let v be o(4). Let r = 348 - v. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 349?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 718, 188.\nAnswer: -3, 188, 718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + -3 + -2.\nAnswer: -5 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 + 79. Put -0.3, 2, -4, i in descending order.\nAnswer: 2, -0.3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 3. Let z(v) = -v**2 - 2*v. Let r(f) be the first derivative of -f**3\/3 - f**2 - 2. Let y be ((-1)\/(-2))\/(-1)*-14. Determine l*r(h) + y*z(h).\nAnswer: -h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17bc8 (base 14) to base 11.\nAnswer: -41056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/63)\/i)\/(i*i**(-21)*i) assuming i is positive.\nAnswer: i**(1136\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*q - 3*b, -2*q + 0*q - 3*b = 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*v + 30, -2*v + 16 = 4*a - 4*v. Suppose -4*h = -4, -2*w - a*w + 14 = -2*h. Let u(j) = -j**2 + 3*j - 1. Determine u(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l - 188 = 21*l. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8) + 5 + 19 + -34?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -0.0822.\nAnswer: 0.3178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 403, 1597, 3585, 6367, 9943, 14313, 19477?\n\"Answer: 397*v**2 + 3*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1523, -3078, -4661, -6272, -7911?\n\"Answer: -14*m**2 - 1513*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3089*s. Let n(z) = -2*z + 15. Determine b(n(r)).\nAnswer: -6178*r + 46335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2633658.\nAnswer: 2, 3, 109, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 2358?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 + 282. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 7*d**2 - 8*d + 7. Let w(u) = u**3 - 8*u**2 - 8*u + 8. Let t(i) = -2*s(i) + 3*w(i). What are the prime factors of t(11)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(66)\/sqrt(6) - sqrt(11)) + (sqrt(11)*1 + 0 - sqrt(11)) + sqrt(11).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6291, -6097, -5917, -5751?\n\"Answer: -7*s**2 + 215*s - 6499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 429220 in 0, -2\/3, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-200)\/(-2))\/(6 - 232\/38). What is the common denominator of (5\/(-65))\/(5\/(l\/(-4))) and -26\/9?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -801 - -1374. Let k = -341 + x. What is the smallest common multiple of k and 4?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - n + 17 + 0 = 0, 0 = -5*w + 4*n - 23. Let q(v) = 3*v**2 + 5*v + 3. Determine q(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((n + n + 2*n)*(5 - 2 + 0) + 16*n - 2 + 2)*(1 + 6 + 12) in the form t + m*n and give m.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)*-2 + sqrt(120))*6 + (-1*2*sqrt(120) - sqrt(120)) + sqrt(120))\/(sqrt(48)\/sqrt(2) - sqrt(42)\/(sqrt(7)*-2)))**2.\nAnswer: 1024\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2200.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 19*p + 25. Let s be n(-17). Let f(t) = -t**2 - 9*t - 9. Calculate f(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/3 - 4612750*z\/3 = 0. Calculate z.\nAnswer: 0, 2306375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 158563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108833 rounded to the nearest 10000?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5596 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257549 is divided by 462?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 10. Suppose -h*d - 3*v - 9 = 6, 3*d - 5 = v. Let s = 3 - d. Solve 0*x = x - s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2220829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275124?\nAnswer: 2, 71, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 26275899 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 0.105847.\nAnswer: -0.405847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44804314253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -719073911*c**2*h**3*l + c**2*h**3 + 4*c**2*h + 9*c**2 - 116967*c*h**3 - c wrt l.\nAnswer: -719073911*c**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/7)\/g)\/g**(1\/2) assuming g is positive.\nAnswer: g**(-19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056\/128 + (-14)\/(-8) + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60621670, -60621663, -60621656, -60621649, -60621642, -60621635?\nAnswer: -60621628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42122 - 130401?\nAnswer: -202523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 0*d - 2*d)*(-2*d + 0*d + 4*d)*(-5 + 0 - 12).\nAnswer: 204*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 343855923?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkb when three letters picked without replacement from {b: 2, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1\/2)\/((-12)\/32)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456 is divided by 2390.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2844 + 88173\/31. Is -2\/37 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 - -2. Let l = 1.4 - 1. Let o(n) = -n**3 - 8*n**2 - 8*n - 5. Let x be o(-7). What is the closest to x in 5, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -123. Let v be (2\/8)\/((-9)\/(-8)). Which is the nearest to -1\/3? (a) v (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57.4 + 2.4. Let l = 54.99999997 + p. Round l to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/16? (a) -0.1 (b) -0.5 (c) 56 (d) 24\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39912444 and 936?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 226a8776 + 4?\nAnswer: 226a877a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 1. Let n(v) = -35*v**2 - 2*v + 1. Let l(y) = 16*y**2 + y. Let w(g) = -9*l(g) - 4*n(g). What is 5*h(k) - w(k)?\nAnswer: -k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 8 = 4*n. Let h = 8 - n. Suppose -5*j + 22 = w, -2*w + h*w - j = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.9. Suppose 198*r = 179*r - 1273. Is r at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**2 - 23*u**2 - 2*u + 8*u**2.\nAnswer: -3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - 5*m - 1. Let r(p) = -p**2 + p + 1. Determine q(w) + 5*r(w).\nAnswer: -w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**6 + 228*a**4*v + a**2 - 9*a*v + 18*v wrt a.\nAnswer: -120*a**3 + 5472*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*x + 70 = 585*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0283 minus -26201593596?\nAnswer: 26201593595.9717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4179 + 4179.597. What is the second biggest value in -3, -4, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -17) + 1 - 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q - 6*q + 2*q + 3*q. Let n(j) = 3*j. What is x(n(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**5 + 4*j**4*o**3 - 9*j**2*o**3 - 2*j**2 wrt j?\nAnswer: -240*j**2 + 96*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 196397 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(17) + 0)*4 - ((sqrt(17) - 1*sqrt(17)) + 3))**2 + (-2 + (sqrt(17) + 1 - sqrt(17)))*-6 + 1.\nAnswer: -24*sqrt(17) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 4 + 16)*(-4 + 4 + 2 + (-4 - 3 + 5)*(-2 + 0 + 0) + 2 + 1 - 1)*(-4*t + 2*t + 3*t) in the form k*t + w and give k.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:27 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150290 = -2539*n + 17284 for n.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5700 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 0, 3*z - 200 = -z - 5*i. What is the smallest common multiple of 45 and z?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 1077174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 220*g**2 - 2298*g + 357398. Determine a(217).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**5\/3 + 16*d**4\/3 + 112*d**3\/3 + 128*d**2\/3 = 0. Calculate d.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) -1 (c) -3 (d) 2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*3)\/(sqrt(6) - ((sqrt(6)*1*3 - sqrt(6) - sqrt(6)) + sqrt(6))).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 135 = g. Round g to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/30 - 7\/10. What is the smallest value in 0.15, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**1*k**(-4))**(1\/40))**(1\/24))**47 assuming k is positive.\nAnswer: k**(-47\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -509, -1136, -2013, -3140?\nAnswer: -4517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.3030284 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/3, 2.1, 109, -1\/5, 3, 5\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2221997 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*d + 1 = -0*d, d + 3 = -3*p. Let o = 16 - 15.7. Suppose -4*l = 3*a - 17, -3*l - 2*l = 5*a - 25. What is the second smallest value in o, l, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -20*k**2. Let l(q) = -3*q - 4. Let u(h) be the second derivative of -2*h**3\/3 - 5*h**2\/2 + 36*h. Let p(a) = -5*l(a) + 4*u(a). Determine p(c(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*p**3 - 141*p**3 - 59*p**3 + (-1 + 1 + p)*(-p**2 + p**2 + p**2))*(p + p + 12 - 14).\nAnswer: -256*p**4 + 256*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 8*h + 7. Let t(b) = b + 15. Let y be t(-7). Suppose 3*g = y*g. Suppose g = -2*q + 5 - 15. Give x(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*h**3*s + 398757*h**3 + 1232*h**2*s + 19*h*s wrt s.\nAnswer: -5*h**3 + 1232*h**2 + 19*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 16*m**2 - 7*m. Let r be p(16). Let t = 114 + r. What is the second biggest value in -4, 8, t, 3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u - 2*o - 6, 5*o - 15 = 5*u. Sort u, 27, -21 in increasing order.\nAnswer: -21, u, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 7*y**2 + 6*y - 19. Let g be k(-8). Let p = 6 + g. Solve n + p*u + 14 = 0, -n - 3 = -u - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305826622?\nAnswer: 2, 19, 8048069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/7725450 and -71\/12360720.\nAnswer: 61803600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4220674 + 61*y - 4220674 + 8*y.\nAnswer: 69*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8c09d - -3?\nAnswer: -8c09a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4225.2305 + -2.\nAnswer: -4227.2305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**5\/20 - 7*o**4\/12 - 11*o**3\/6 - 4*o**2 + 10*o. List the prime factors of p(-7).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 1 + 4 + 3*r)*(1 + 1 - 3)*(-r**3 - 3*r**3 - r**3).\nAnswer: -10*r**4 + 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63776 divided by -4.\nAnswer: 15944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*l - 5*m + 4*m, -4*l + 27 = m. Let v = l + 11. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2641860808?\nAnswer: 2, 330232601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*r - 5*r**6 + 6*r - 41*r**2 - 23*r**6 wrt r?\nAnswer: -3360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1)\/(1\/3). Suppose -5*s + o = -179, i*s + o - 6*o - 103 = 0. Calculate the greatest common divisor of 54 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -8*g**2 + 1\/12*g**4 - 4\/15*g**3 + 0*g - 1\/150*g**5 + 0. Suppose f(p) = 0. What is p?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m - 20*m + 6*m - 28*m to the form z*m + f and give z.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4afe8 - -4?\nAnswer: 4afec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -431?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022894 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031835362 rounded to the nearest 1000000?\nAnswer: -2032000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 6:28 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3. Let u = -4 - o. Which is the nearest to 2? (a) 3 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 42222, 84439, 126666, 168903?\n\"Answer: 5*h**2 + 42202*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -257 (base 10) in base 3?\nAnswer: -100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**4 - 50*d + 52*d + d**4 - d**2 - 2 to g + z*d**4 + c*d**2 + t*d**3 + w*d and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -1397*g + 1400*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26707020 rounded to the nearest 100000?\nAnswer: 26700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldfdllllfllclcf. Give prob of picking 3 l.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 k, and 1 e when three letters picked without replacement from {e: 1, k: 4, x: 2, a: 1, u: 2, j: 5}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3\/9 + 50332*g**2\/9 - 27518660*g\/9 + 409271300 = 0?\nAnswer: -13113, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 34, 79, 142, 223, 322, 439?\n\"Answer: 9*s**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -c9c75?\nAnswer: -c9c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 2:17 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63274 + -1?\nAnswer: 63273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4807 - -4806. Put 0, n, -765, -5 in increasing order.\nAnswer: -765, -5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 5*s**2 + s + 6. Let b be a(5). Suppose 7*h - 300 = 157*h. Sort h, b, 3.\nAnswer: h, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -3, 12, 35, 66, 105?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 m when four letters picked without replacement from {x: 4, o: 1, b: 10, m: 2}?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15178617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24835971 and 18.\nAnswer: 149015826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmooozcmmmmomou. Give prob of sequence mmcc.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 46\/29?\nAnswer: 46\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -356527 * 0.087\nAnswer: -31017.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165801 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 7*v + 7. Let y be o(8). Suppose 5*u - t = 111, -u + y + 3 = 4*t. Suppose u = 3*n + 1. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxvvgssr. Give prob of sequence sx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 23589 = -5*f - 23636, 0 = 5*l + f + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98588764.\nAnswer: 2, 23, 41, 59, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89546109?\nAnswer: 3, 61, 643, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 2*n + 1. Let t(p) = -5*p**2 - 6*p - 3. Let s(m) = t(m) + 3*w(m). Let y(g) be the second derivative of 5*g**3\/2 - 21*g. Determine s(y(j)).\nAnswer: -450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 82\/(-7) - (-14)\/(-49). Let h = 18 + j. Suppose -h = -n - 4*b, -3*n = 2*n - 3*b - 122. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 19. Let k = y + -3. Let g be (-4)\/k - 152\/(-20). What is the highest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -493 - -727. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**5 - 21*i**3 + 2*i**5 + 15*i**3 + 4*i**4 + i**5 - 4*i**4 + (-i**4 + 3*i**4 + 0*i**4)*(3*i + 0*i - 2*i).\nAnswer: 2*i**5 - 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2308700, 4617394, 6926088, 9234782, 11543476?\n\"Answer: 2308694*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**2 + 32*x + 188. What is g(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2312 + -2160. Solve -j + 151 = p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3385896699.\nAnswer: 3, 1433, 787601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1454 times 0.4?\nAnswer: -581.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*l - 24 + 11 + 12.\nAnswer: 431*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 418 + -408. What is the lowest common multiple of 164 and x?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 - 1 - 3*c**2 + 3 + 2 in the form z*c**2 + y + j*c and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y. Let j(c) = 9*c**2 - 22*c**2 + 21*c**2 + 6*c**2. Calculate b(j(z)).\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19944295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 37 = -62 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.065 (b) 4 (c) -432\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1160 and 3580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -7. Let r be 7\/(8169\/16366 - 1\/2). What is the smallest common multiple of x and (-1)\/(-8) - r\/392?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484570178 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52227.871 + 52227.958397466. Let p = b - 0.0874. Round p to 7 dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -4044?\nAnswer: 4051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*i**2 + 25*i - 488 wrt i?\nAnswer: -12*i + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**3 + y**2 - 2*y + 1. Suppose -4*z + 2*j + 10 = 0, -3*z - j = -0*z. Let c be o(z). Let f(a) = 0 + 2*a + 11 - a. What is f(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47.33 + 1.33. Let q = t + 36.3. Let n = q + 22.7. Which is smaller: 3 or n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a factor of 69404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47253 and 9861?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 11:09 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 + (1 - 2\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -14.077, 4\/3, -2\/11?\nAnswer: -14.077","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, -3, 1, -758?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 39528259 - 80113769 = 0. Let t(o) = -3728273*o + 2. Let d be t(-2). Let n = r + d. What is n rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41364*b**4 - 32620 wrt b?\nAnswer: 165456*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkkv when four letters picked without replacement from vvkkkkppvvppvppp.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsl when three letters picked without replacement from lllllssslsss.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (2 - 2)) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 5*c + 0*c)*(-7*c**2 + 7*c**2 - 6*c**3) - 3121*c**2 + 0*c**4 + c**4 + 3143*c**2.\nAnswer: -11*c**4 + 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = 13*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*n + 16. Let m = -16.07 - -0.07. Let u = 13 + m. Which is the smallest value? (a) n (b) u (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-168)\/(-140))\/((-4)\/10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 = 2*q + 6*b + 148, 14 = -q + b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.48 - 283224417.\nAnswer: -283224421.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664267 - 882577 = -3830*y for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*r = -468, -a + 3*r = -42 - 58. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25268 is divided by 5456.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 8*x**2 - 21*x + 173. Let d be v(8). Solve -6*i = -3*u - 8*i + 11, -d*u = 2*i - 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2 = -4*k, -4*c = c - 5. Let m be -4*(-4666)\/9 + k. Let o = -2071 + m. What is the common denominator of -1\/11 and o?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/8*1*18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 2, b: 3, l: 3, s: 3}. Give prob of picking 1 b, 2 s, and 1 l.\nAnswer: 27\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 685 and 1233?\nAnswer: 6165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 994, 4362, 10718, 20668, 34818, 53774, 78142?\nAnswer: 108528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*w, -5*d + 5*w = -2*d - 4. Does 11 divide 5 + 9 - (-6)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 74 = -5*y. Let g = 78 - y. List the prime factors of g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.9339, 2.3, 15 in descending order.\nAnswer: 15, 2.3, -3.9339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 4*i**2 - i + 5. Let q = 15 - 17. Calculate the remainder when (17\/(-2))\/1*q is divided by h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001373610304 rounded to seven dps?\nAnswer: 0.0001374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s. Let y(a) = 102*a**2 - 46*a**2 - 39*a**2 - 42*a**2. Determine y(z(b)).\nAnswer: -900*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -80. What is the lowest common multiple of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.2, 42887 in descending order.\nAnswer: 42887, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1823 divide 78179355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-104)\/(-30) - (-2)\/15)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695360.\nAnswer: 2, 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, -4, 3, -90, 161, 5 in ascending order.\nAnswer: -90, -10, -4, 2, 3, 5, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - k - 4785 = -4835, -4*n = k - 67 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*i - 52. Solve -3*w = 5*p - 10, -4*p = w - i - 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039 is divided by (5 - 2009\/(-42)) + (-10)\/12?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 + 4 = 0. Does w = 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 14826315?\nAnswer: 29652630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 991530580 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 15*z - 93. Give f(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 19 = 4*v - 14*a, 0*a - 25 = 2*v + 5*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4675, -4712, -4793, -4936, -5159, -5480, -5917?\nAnswer: -6488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 15. What is r(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*x + 2*x**3 - 883 - 18 - 88*x as o*x**3 + k*x + f*x**2 + j and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by (-164)\/(-18) + (-6 + -3)\/81.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 38 = 3*w, -5*j - 2*w = 9 - 126. Solve 3*y = i - 11, -5*y - j = 5*i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 53*a**2. Let s(u) = -87*u + 2. Determine o(s(t)).\nAnswer: 401157*t**2 - 18444*t + 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -944a?\nAnswer: -944d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14562320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppuu when four letters picked without replacement from ppuu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 3*q**2 - 2. Let g be l(3). Let o(r) = -r**3 + 2*r**2 + 3*r + 3. Is o(g) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 3, 1.\nAnswer: -9, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + c - 6. Let l be h(0). Calculate the common denominator of 34\/11 and (1034\/126 - 3) + l\/(-27).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 442 + -198. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 264611.1 millennia?\nAnswer: 26461110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -32*j + 3. Let m(k) = 127*k - 12. Let z(f) = 2*m(f) + 9*n(f). Find the first derivative of z(i) wrt i.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 34. Let x(d) = -3*d + 34. What is the smallest common multiple of x(8) and v(-24)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckopfvpk. Give prob of picking 1 v, 1 p, and 2 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 612, 2453, 5522, 9819, 15344, 22097?\nAnswer: 30078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-5)*k))\/(k*k\/k**(5\/2))*k**(-7)\/(k*k**(-1)) assuming k is positive.\nAnswer: k**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8524894 nanograms?\nAnswer: 0.0000000008524894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276719965.\nAnswer: 5, 17, 3255529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*651739\nAnswer: -195521.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 7*o + 4. Let i be s(-7). Suppose i*v = -v - 5. What is the tens digit of (-1*(-11)\/(-1))\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2\/11 + 60*x\/11 + 58\/11 = 0.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)\/(t\/((t\/(t*t\/(t\/(t**(-15)*t)*t)))\/t)))\/(t**4)**9 assuming t is positive.\nAnswer: t**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1953\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 130 in decreasing order.\nAnswer: 130, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**3*x**3 + 2*t**3 + 665*t*x**4 - 38*x**2 wrt x?\nAnswer: -18*t**3 + 15960*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 + 603\/8. Let k be ((-10)\/4 + 3)*22. Let l = k + -16. Which is the smallest value? (a) m (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9302 times 576\nAnswer: 5357952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 1, 5, -132, 0 in descending order.\nAnswer: 5, 1, 0, -28, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1683 divided by 153\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 7:32 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12*-4*-1713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + -3 + -1) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 65*a - 2726. Determine s(94).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -946 + 919. Which is smaller: -28 or z?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1256985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8018 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1126 + 1155. Let j = 16 - 5. Calculate the remainder when k is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-12)*(-2)\/(-21)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 1, d: 1, i: 1, q: 1}. What is prob of picking 1 i and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/26 + 67\/13. Solve 5 = n*r + 2*i, -3*i + 3 = 2*r - 2*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 - -132 - (1 + -3 + -23)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8 = 2*d. Suppose 13 + 1 = -7*t. Let v be (t - -2)\/(1 - (1 + -3)). Solve d = 2*b - v*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.295 - -7.105. Let x = -7.9 + n. Put 1, -5, x in decreasing order.\nAnswer: 1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.32 + 6.12. What is the nearest to 1 in n, 2\/11, -3, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 15 = -0*n + 5*q, n - 3*q - 7 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-68)\/56 - 13\/78.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 2*p + 6*p)*(10*p - 9*p - 11*p) - 8*p**2 - 24*p**2 - 12*p**2 as n*p + w*p**2 + c and give w.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 - 603 - (38 - (1 - -1))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 6)*2\/(-4). Let t(c) = c. Determine t(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 - 300*d.\nAnswer: 2*d*(d - 750)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22262998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -112 + -0.057\nAnswer: -112.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*i - 16, -5*t + 3*i + 2*i = 5. Suppose -4*n + 42 = -2*n. Solve t = 5*q - n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 264026957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 3*a**3 + 2*a**3 + (-4*a + 5*a - 2*a)*(0*a**2 + 3*a**2 - 2*a**2) + (-3*a**2 - 1 + 1)*(-a + 0*a - a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -2 - -9 - (-1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*p + 549*p - 4776 = 222*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 6. Let z be f(8). Let d be ((8 - 4) + -4)\/z. Solve -2*q + 4*m + 12 = d, 0 = -m - 2*m - 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9836457 less than 1844269?\nAnswer: 1844270.9836457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.5 - -6.5. What is the fourth biggest value in 1\/2, -1\/2, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12936 and 511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-308)\/(-98) + (-3)\/(-42)*-2. Solve -5*g + m = -6, -x*g + 4*m - 10 = -0*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 28. What is the remainder when 96 is divided by a(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1 - 8*w**3 + 5*w - 1. Let o(u) = -2*u**3 + u. Let h(z) = -130*z**2 - 1431*z - 7. Let v be h(-11). Give v*l(m) - 18*o(m).\nAnswer: 4*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -859da?\nAnswer: 859e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 0.5, 1192, -0.3, 1\/10, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2520, 2552, 2596, 2652?\nAnswer: 2720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 94 - (-13 + 113).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 21*s - 14. Let y(b) = b**2 - 25*b - 14. Let k(f) = -4*y(f) + 5*z(f). What is k(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -964 - 3*z - 965 + 1929 + 0*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -68837*s + 481785. What is q(7)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90998 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/809804 and 5\/256.\nAnswer: 51827456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -10*a**3\/3 + a**2\/2 + 16*a. Does 36 divide y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004521381 to seven dps.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27545 divided by -3935?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q - 2*i - 79, 3*q - 82 = -i. Let j(n) = 44*n - 73. Calculate the least common multiple of q and j(2).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -91086.408 and 7.2119.\nAnswer: -91079.1961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(192)\/sqrt(6) + 3) + 0)*-6.\nAnswer: 72 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 255 - 259. Let h(u) = -10*u - 40. Let g be h(s). Solve g = -5*p - 5, -4*n + 6 = -2*p - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -191, -347, -499, -647, -791, -931?\n\"Answer: 2*q**2 - 162*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/3)\/d**(-10))\/((d*d\/d**16*d)\/d**(2\/33)) assuming d is positive.\nAnswer: d**(272\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/10 + 1489*n**2\/10 - 595*n\/2 + 1487\/10 = 0.\nAnswer: 1, 1487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/5)\/(4\/(-20)). Suppose 0 = b*s - 3*s - 2. Let i(f) = -18 + 18 - 4*f**s. Let d(w) = -2*w**2. Give d(i(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50645*l**3*t**2 + 2*l**3*t - 14*l + 6*t wrt t?\nAnswer: 101290*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12 = 3. Let x = -6 + 17. Suppose 4 + x = -5*d, 0 = 4*o + 5*d - w. Let k(n) = n**3 - 7*n**2 + 8*n - 5. What is k(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, a: 1, q: 2, p: 4, u: 3, s: 1}. Give prob of picking 1 p and 1 y.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgn when three letters picked without replacement from {g: 1, s: 1, n: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100100011001 - 1?\nAnswer: 1010100100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 551757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -128 - 14?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.0282 + -1.229. Round c to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*((-5)\/1)\/(130\/520).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*v = -41 + 5, 3*v = -12. Solve -4*j = 4*o + 8, o + n*j = -o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + f - 2 = -4, -5*o + 1 = f. Let k(b) = b - 1. Let n(p) = 14. Let z(v) = o*k(v) + n(v). Is z(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -15. Let j be (6\/(-4))\/(15\/h). Let s(a) = a - 2. Let m(u) = 2*u - 1. Let i(t) = -1. Let n(f) = 4*i(f) + m(f). Give j*n(x) + 5*s(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, -3, -0.5, 0.4, -2, -695 in decreasing order.\nAnswer: 0.4, -0.11, -0.5, -2, -3, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -151?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -157*t**3 - 19*t**2 + 64*t + 8. Let g(n) = -156*n**3 - 17*n**2 + 56*n + 7. Calculate 7*f(p) - 8*g(p).\nAnswer: 149*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -11*l + 4*l + 0*l + 6*l - l - 34. Suppose 4*o - 49 = 3*v, -2*v - 23 - 21 = 3*o. Let j be q(v). Let n(f) = -f**2 + 4*f - 2. Give n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -29. Let w be 1 - 3 - ((o - -5) + 0). Let y be -2 - (-4 + 1 - w\/6). What is the nearest to y in -0.1, 4, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axxaxxaxafx. What is prob of picking 2 a and 1 f?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*z - 50*z - 3 + 20*z.\nAnswer: -172*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/5 (b) 203 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 7*d**2 - 9*d - 9. What is the remainder when 17 is divided by q(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*r**2 + 16416*k**3*r + 5*k**2*r**2 + 2*k**2*r + 6*r**2 + 7 wrt k?\nAnswer: 6*r**2 + 98496*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.4, 1.774, -2\/21, -2, -1\/27, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -22114 divided by -2\nAnswer: 11057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 8 + 12\/(-4). Let w(v) be the second derivative of -v - 1\/6*v**4 + 0 + 2\/21*v**3 + 1\/147*v**7 + 9\/70*v**5 - 1\/21*v**z + 0*v**2. Factor w(g).\nAnswer: 2*g*(g - 2)*(g - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from zvznvuvnuvuivuzivv.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55017 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-5)*373560\/924. Solve 2*w = -u - 11, -4*w - 4*u = -r + 590 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58327*d**2*n - d**2 - 2*d + 2162*n wrt d.\nAnswer: 116654*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -385671.904 rounded to the nearest 1000?\nAnswer: -386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/3, 1.456, 108\/5 in descending order.\nAnswer: 108\/5, 3, 1.456, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {u: 4, x: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 11 = -4*q, q = -5*l + 4*l - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 120180*u**2 + 902762112*u + 902641936.\nAnswer: 4*(u + 1)*(u + 15022)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**3 - 3*r**2 - 5*r + 5. Let i(l) = -3*l - 3*l**2 + l**2 + 3 + 7*l**3 - 9*l**3. Determine -5*i(x) + 3*q(x).\nAnswer: x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7)\/o)**(-24))**(1\/46) assuming o is positive.\nAnswer: o**(108\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**4 + 3*b**2 - 3*b**2 + (-2 + 2 + b**3)*(8 - 2*b - 1 + 22).\nAnswer: -8*b**4 + 29*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*p**5 + 112*p**4 - 159*p**3 - 18*p**2.\nAnswer: -p**2*(p - 3)**2*(19*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b + 7949 = 7679 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 2*m + 2. Suppose k + 2 = 3*j, -j - 4*j + 2 = -2*k. Let p(n) = -n**2 + n + 1. Let t(g) = j*f(g) - 4*p(g). Factor t(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (1 - (-3 - -3 - 2)). Determine d, given that -7*d**2 - 5*d**2 - 3*d + o*d + 18*d = 0.\nAnswer: 0, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22040*p*t + 5*p - 378495*t wrt p?\nAnswer: 22040*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 630 + 542601?\nAnswer: 543531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-3 - (-6 - -3)). Let a be (-735)\/(-84) + h\/8. Solve 5*x + 2*i = -a, 5*x + 0*x = -5*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -85*f + 1. Let z be i(1). Let n be (-4)\/22 + z\/22. Let c be (4 - 2) + n + 3. Solve c + 4 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.014 and 0.11.\nAnswer: 0.00154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {q: 2, d: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + y**2 - y + 1. Let f be d(0). Let r = 1 + f. Suppose 0 = 5*m - 4*q - 18 - 1, 0 = 5*m + r*q - 13. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7145318 + -31820?\nAnswer: -7177138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 13 = 9*s - 17, -5*l - 13 = s. Let z = -90.9 + 86. Let a = z - -0.9. What is the third biggest value in 0.3, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 3:19 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3)*f)\/((f**20*f)\/f*f))\/(((f\/f**(-16))\/f)\/f*f*f\/(f**19*f*f*f)) assuming f is positive.\nAnswer: f**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39502 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 8:42 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168134485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = -4*p, 5*f - 6*f + 5*p - 5 = 0. Let i(n) be the second derivative of f + 4\/3*n**3 - 1\/3*n**4 - 7*n + 0*n**2. Factor i(h).\nAnswer: -4*h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 8:16 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 12:14 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -1\/22*w**4 - 4\/33*w**3 + 4\/11*w + 1\/11*w**2 + 9. Let l(n) = 0. What is n?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - b - 3. Let a be c(4). Let h = -8 + a. Solve h = -2*j + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*l**2*t**3 + 9*l**2 + l*t**3 + l*t - 1817*t**3 wrt l?\nAnswer: -56*t**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 1441?\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1079 + 3359 = -182*k - 46*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*v**5 - 1904*v**4 + 3053*v + 1871*v**4 - 848*v wrt v.\nAnswer: 100*v**3 - 396*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 + 89. What is the third derivative of -z - 4 + 125*j**2 - 41*j**4 + 3 - 76*j**2 wrt j?\nAnswer: -984*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2714*j**3 - j**2 + 1985*j - 2.\nAnswer: 16284*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*q - 5. Let w(g) = -7*g + 7. Let k(i) = -3*i + 3. Suppose -5*v + 10 - 35 = 0. Let l(s) = v*k(s) + 2*w(s). What is l(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 10. Let p be g(13). Let v be 10\/(-3)*p\/(-8). Is v equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 + 9*q**4 + 51*q**3 + 27*q**2 - 48*q - 36 = 0. Calculate q.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 353 + -344. Let l be ((-76)\/8 + i)\/(2\/(-8)). Let 3\/2 + 3\/2*j - 3*j**l = 0. What is j?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(2*j**3 + 0*j**3 + 0*j**3) + (5*j - 3*j - 3*j)*(3*j**2 - 3*j**2 - 2*j**2) - 4 + j**3 + 4.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158320, -158369, -158414, -158455?\nAnswer: -158492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/4 - 2\/4. Let f(s) = -s - 18*s**3 + 19*s**3 + w - 4. Suppose 37*l = 17*l + 25*l - 10. Determine f(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z - 8. Let f be s(-2). Solve -3*m - 2*r + 7 = 0, 4*m - m - r = f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62993, 126484, 189975, 253466, 316957?\nAnswer: 380448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1093 - 5265*x + 273 - 3918 - 4217 + 535 wrt x?\nAnswer: -5265","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - (-1 - -1))*-1. Let l(v) = 2*v**2 - v + 1. Let x(c) = -12*c - 5 + 11 + 11*c**2 + 6 - 1. Let a(m) = 6*l(m) - x(m). What is a(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 86*d + 1793. What is j(-21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8778103*19.\nAnswer: -16.6783957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*m + 4, -2*g + 6 = 2*m - 4. Suppose 0 = -2*i - 4*l + m + 7, l = 4*i - 20. Solve -3*y - 3*j = 0, 0*j - 4 = -3*y - i*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*x - 469*x + 107*x - 494*x = 49848 for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 113 = -5*s, -10*p + 4*s + 204 = -7*p. What is the greatest common factor of p and 6560?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 5:21 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 9*a = 267. Let b = 169 - a. Let f = 103 + b. Solve 0 = p, 4*r + f*p - 3 = 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 25*y**2 - 47*y**2 + 8.\nAnswer: -72*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-761*z + 1955*z - 770*z)*(-13*z**4 + 0*z**4 + 0*z**4).\nAnswer: -5512*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5142*i**3*u - 871*i**3 - 5*i**2*u - 4*i*u + 62*i wrt u.\nAnswer: -5142*i**3 - 5*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665 = -4*o - 637 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 - -101100101?\nAnswer: 101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -106109 and -106110 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 13*a - 13. Let v be w(-2). Solve 2*g + 4 + 6 = -4*n, -g - v = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -21 + 7 + -15 + 10 + 1 + -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -135*(-68)\/42 + 3\/7. Suppose 0 = -4*w + 1213 + p. List the prime factors of w.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 309 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 120996617 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/3 + 76*j\/3 - 64.\nAnswer: -4*(j - 16)*(j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Let u be 15\/(-6)*(-12)\/10. Let p(i) = i**3 + 2*i**2 - 4*i - 3. Let c be p(-3). Sort c, u, w in decreasing order.\nAnswer: u, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1587301 times -25?\nAnswer: -28.9682525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 4393692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/54 - 758*t**3\/9 + 143641*t**2 + 288*t - 10. Factor n(a).\nAnswer: 2*(a - 1137)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -161736*n + 331. Is l(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 331? (a) -196\/5 (b) -3\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57\/140 - 167059\/420. Let o = 387 + j. Find the common denominator of (226\/6)\/(20\/6) and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**2 + 18*k - 16. Let v(z) be the third derivative of -z**5\/60 - z**4\/24 + 2*z**2. Let a(y) = -d(y) - 6*v(y). Calculate a(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Suppose 5 = x, -5*i - 4*x = -0*x - 148520. Let k be (40\/(-6))\/(q\/i). Round k to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -48?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8 + (-555)\/(-1740)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*-6*(-561)\/11220)\/(4\/110).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**4\/24 + 2*m**3\/3 + m**2. Let f(z) = -z**2 + 5*z + 6. Let k be f(6). Is s(k) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5890 is divided by 188.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0537 + 0.4463. Which is the closest to -2? (a) n (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*(-2)\/(-100)*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 456.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088246 to the power of 1\/2, to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -20*i + 1349. Let w be s(67). Sort 3\/8, w, -5 in decreasing order.\nAnswer: w, 3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342887 is divided by 4286.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1156*b**3 + 1972*b**2 - 960*b + 144.\nAnswer: -4*(b - 1)*(17*b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -221 + 256. Let 40*h - 30*h**2 - 100 - 5*h + t*h**2 - 24*h + 84*h = 0. Calculate h.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/1711 and -34\/313867.\nAnswer: 18518153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*v - 117, 0 = -4*c - 3*v + 118 + 89. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcydtdyddccyyytywt. What is prob of sequence yy?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/56)\/((-191)\/4011).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 14, 0.1, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 35*n**3 + 3*n**2 - 1. Let m be h(-1). Let x be 5\/3 + 22\/m. Solve 9 = -3*s - 2*p - p, s = -2*p - x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.5 (b) -210 (c) 0.17 (d) 5 (e) 137 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2. Let b(o) = -2*o + 5*o + 4*o - o. Determine h(b(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 582 and 1067?\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10 = -15. Suppose 4*s + 2*d = 2590, -b*s + 2575 = -s - 3*d. Suppose -s - 176 = -3*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4889654km?\nAnswer: 488965.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43546317 and 311187?\nAnswer: 6621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1150.257 months?\nAnswer: 0.9585475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1232310 (base 7) to base 10\nAnswer: -159306","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -87, -80, -53, 0?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwphwchwhhwypp. What is prob of picking 1 h and 1 c?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 4*c + 2*c**2 - 1\/6*c**3 + 0. Is 11 a factor of d(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 28. Let z be l(6). Let a = -43 - z. Solve -7 = -a*d + 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/242)\/((-18)\/33)*(-6)\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4*17\/2)\/(-2). Let h be 4 - (-17 + 12\/4). Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w = 400 + 356. What is the smallest value in 1, w, -4\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 + 0.145. Let j = t - 0.305. What is the biggest value in -1\/2, -3, j, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*j = -40, -2*a + 7*a + 10 = 5*j. Let k be (-12)\/3*a\/2. What is the highest common divisor of 80 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - z**2 - 2 + 2*z**2 - 4*z**2 + 0*z**2 + (z + 0*z + 0*z)*(-2*z + 0 + 0) + 2*z - z + z**2 - 3*z.\nAnswer: -4*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -807, -806, -805, -804?\n\"Answer: r - 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(-3\/11)*w*w)*w*w**10*w*(w**2\/w)**29 assuming w is positive.\nAnswer: w**(432\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9*f + 11 = 4*f, 3*f - 136 = -4*x. Let p = 33 - x. Solve 4*y = 3*r + p*r - 4, 2*y = -4*r + 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 16*c + 17. Determine d(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Suppose 15*i - 120 = 9*i. What is the least common multiple of 10 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/115169 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114 a factor of 28471352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/8770167 and 65\/1431864.\nAnswer: 70161336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, s: 6, b: 1, u: 6}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177447\/2066372 - 12\/6709. What is the common denominator of 91\/15 and n?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*(-175560)\/1463\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -21, -60, -135, -258, -441?\n\"Answer: -2*q**3 - q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 p when four letters picked without replacement from bpllblblbnf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -1 + 10. Suppose 0 = -3*b + 2*b + 1, i*s + 3*b = 3. Suppose 4*d + 3*v = 25, 2*d = d - v + 7. Solve s = 3*l - 7*l + d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2574 + 2002. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 429 and 20735?\nAnswer: 62205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -38*z**3 - 169*z**2 - 123*z - 1465. Let c(p) = 3*p**3 + 14*p**2 + 10*p + 122. Let u(n) = -2*b(n) - 25*c(n). What is u(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1968*y - 3443 - 59311 = 1979*y - 7496 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 4, 166\/3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12 - 4*u + 13 - 39 + 12 + 13. Give y(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**4\/6 + 2*p**2 + 6*p + 2. Let y(l) be the first derivative of v(l). What is the derivative of y(k) wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t - 50 = 0. Let f = -10 - t. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkuijijsk. Give prob of picking 1 u, 1 s, and 1 m.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/4*2 + 1. Suppose -6 = -2*u, -u = w*b - 130 - 83. Suppose 7*c + 0*c - b = 0. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/8))\/(c\/((c*c**9*c)\/c)))**(-1\/33) assuming c is positive.\nAnswer: c**(-79\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*t**2 - 4666*h**3 + 41*h**2 - 46*h*t + 1730*t**2 + 2 wrt t.\nAnswer: 4*h**3*t - 46*h + 3460*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from ssoszsscspssossossss.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*q = 31*q + 33*q - 117. Solve 0 = -3*f + 6, -q*m + 2*f - 3 = 28 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4464 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + (sqrt(175) - (-5 + 3 + sqrt(175))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.011 - 21.011. Let l = 0 - d. Let y = l + -23. Is y >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 17. Let u be z(11). Let q(p) = -2*p + 5. Let d be q(4). Is (d\/u)\/(1\/74) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.124*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 79 in -5, 0.09, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5733061 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 11:52 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o - 8*o - 7*o)*(-12*o + 12*o + 4*o**3).\nAnswer: -80*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -8\/7 (c) -7 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j + 0*j - 4*j + 3. Let p be 1 + 8\/(-4) + -4. Determine d(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93648.5019 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*f - 14 = 0, 16 = -0*f + 4*f. Let j be 4 - (-3)\/(d - 1). Let g = 4 - j. Which is greater: -2\/11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c - 1. Let o be -2*1\/(-2)*1. Let q be r(o). Suppose 4*a = -3*z + 23, -44 + 19 = -5*a. Sort q, -33, z.\nAnswer: -33, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -381 - -1?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 2957*l - 924065. What is o(-265)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-4)\/72)\/((-16)\/(-588)))\/1 and -93\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w - 1110 = 0. Round w to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/126 - 13\/126. What is the smallest value in -1, -0.06, -2\/9, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29924 + 5*z + 77*z**2 - 14958 - 14966 in the form q*z + b*z**2 + w and give b.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2989\nAnswer: 3\/2989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2619*c**3 - 5264*c**3 - 174*c + 2643*c**3.\nAnswer: -2*c**3 - 174*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 7.\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 1812699?\nAnswer: 1812699","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8006688*y + 10630181 with respect to y.\nAnswer: 8006688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 82. Let v be (-13)\/(-11) + 10\/q. Let t be 16\/12 - (-8)\/(-6). Sort -4, t, v in ascending order.\nAnswer: -4, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(360\/5))\/(3010\/(-760) - (-7 - -3))\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.11, 0.4, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21759 + -7652. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*2 + (0 - 0). Let i(j) be the second derivative of -j**5\/20 - 5*j**4\/12 + 5*j**3\/6 + 3*j**2 + j - 1089. Calculate i(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.12, -0.3 in decreasing order.\nAnswer: 6, 0.12, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 3906?\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:08 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**2 + 4*l**2 - 5*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 34*y - 77. Let b be o(32). Let l(h) = -h**2 - 13*h. Give l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from gcr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*x + 16, 2*f + 4*x - 4 = 26. Let g(c) = c**3 - 12*c**2 + 12*c + 19. Let w be g(f). Solve 4*v - 24 = -z, w = 4*v + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + 38. Let y = -45 + n. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3bab + 0?\nAnswer: 3bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 11*w**2 + 3*w + 11. Let j(t) = -t**3 - 21*t**2 - 5*t - 22. What is -5*f(b) - 3*j(b)?\nAnswer: -2*b**3 + 8*b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 124264201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 76. Suppose 0*c = 4*c + 3*v - s, -4*v + 6 = -c. Suppose z - c*z = -880. What is the highest common divisor of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3296, -3299, -3302, -3305?\nAnswer: -3308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/3)\/(1\/3). Let k(o) = o**3 - 5*o**2 + 4*o + 4. Determine k(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (42 - 1) + -7 + 4. Solve c = -43*v - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/19)*l)\/(l*(l*l**(-3\/11))\/l*l))\/(l*l**(-9\/8)*l\/l**(9\/4)))**(18\/13) assuming l is positive.\nAnswer: l**(8955\/10868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {p: 1, h: 3, q: 1, g: 7, v: 2, d: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2599 is divided by 237?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -7.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1202?\nAnswer: -1\/1202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -612, -4955, -16738, -39681, -77504, -133927, -212670, -317453?\nAnswer: -451996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/11 + 340\/(-18) - -15.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**3*z)\/((z**(-2)*z)\/z))\/(z**(-2\/5)*z**(-1\/16))*((z\/z**(-2\/9))\/(z*z*z**7*z))**35 assuming z is positive.\nAnswer: z**(-220147\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -139 - -170 - (0 + 18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11. Let l(t) = -9. Let p(h) = -6*l(h) - 5*v(h). Let m(i) = -12*i + 2. Let w(x) = 3*m(x) + 21*p(x). Find the first derivative of w(o) wrt o.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -33. Suppose -304 = g*o - 6*o. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -260 + 260. Factor -f**2 + f**4 + 1\/2*f**5 + c - 1\/2*f + 0*f**3.\nAnswer: f*(f - 1)*(f + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-66)\/12) + (-72)\/(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -352*u + 1. Let f(j) = -20*j. What is v(f(x))?\nAnswer: 7040*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 6*c)*(-2 + 1 + 5)*(-3 + 5 + 1).\nAnswer: 72*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14 + (-3 - 0))\/(-1). Let n(s) = 26 + 5*s - l*s + 34 - 60. Let i(o) = -7*o**2. Give i(n(h)).\nAnswer: -1008*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011111 + -111110111111011110?\nAnswer: -111111001001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + h. Let k(o) = o**2 - o. Let x be (-4 + 2 + 3)*-3. Let p(t) = x*k(t) - 4*d(t). Calculate the smallest common multiple of 11 and p(4).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 37)*10\/15. Suppose -29*b = -h*b - 1175. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**4\/8 - b**2. Let o(j) = -6*j**2 - 3*j**2 - 7*j**2 + 9*j**2. Give y(o(d)).\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10222 (base 3) to base 5\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41548, 181998, 416082, 743800, 1165152, 1680138?\n\"Answer: 46817*z**2 - z - 5268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 486176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -72 and -34028.2517.\nAnswer: -34100.2517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 0, -27, -88, -195, -360, -595, -912?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:45 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24257?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4744, -19045, -42900, -76309, -119272, -171789, -233860?\nAnswer: -305485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -157, -259, -379, -517, -673, -847?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3189 + 2275. Let c = -909.91 - g. Round c to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 - 4*q - 4. Let f = 10 - 6. Let s(y) = -4*y**2 - 3*y - 3. Let t(d) = f*s(d) - 3*l(d). Let b(h) = h**2. What is t(b(p))?\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s + 0*s - s)*(20 - 23 + 41) to t*s + o and give t.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/(1\/2*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*((sqrt(112) + sqrt(28))*-5)\/((sqrt(24)*1)\/sqrt(6)))**2 + -5.\nAnswer: 14168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 7*w**2 + 3. Let p(y) = -y + 8. Let u be p(13). Let z = -24 + 42. What is the remainder when m(u) is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (594\/55)\/9*-5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*r + 2*r. Let n(z) = r*z - 5*z + 2*z. Let p(d) be the second derivative of -d**3 + 12*d. Calculate 5*n(h) + p(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + sqrt(2299) + 5*sqrt(2299) + sqrt(2299) + 3)**2 + -1 + -3.\nAnswer: 528*sqrt(19) + 147141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 17. Let z be n(11). Let r be (9\/z)\/(((-4)\/(-1698))\/2). Suppose -3*u - r = -757. List the prime factors of u.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4891?\nAnswer: 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 16*d**2 - 5*d - 16. Suppose -10*u - 1206 = -1226. Let h(k) = 3*k**2 - k - 3. Determine u*q(b) - 11*h(b).\nAnswer: -b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310014800 to the nearest integer?\nAnswer: 17607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29\/7 or -1?\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 10:15 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2403 - 3728. Let j = u - -2557\/2. Find the common denominator of 131\/6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -19*(32\/(-3) + 104\/39). What is the greatest common divisor of y and 2508?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29336, -29340, -29346, -29354, -29364, -29376?\n\"Answer: -h**2 - h - 29334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9240 < -9240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (9 + (-6 - 10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 30*g + 2. Let s be f(2). Let l(r) = 7*r + 8. Let p be l(-6). Let k = s + p. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 22*w**2 - 212*w + 61. Give u(2).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72559 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*h**4*y - h**4 - 42*h**3*y - 221*h**3 - 53*h**2 + h*y + 2151*h + 3*y + 1 wrt h?\nAnswer: 624*h*y - 24*h - 252*y - 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4773 + 9575\/2. Calculate the common denominator of v and 15\/1883.\nAnswer: 3766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -349, 319, -74 in ascending order.\nAnswer: -349, -74, 1, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + t**2 + 0*t**2 - 2*t. Calculate d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 506 (b) 106 (c) -14 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9.326309225917 + 0.09\nAnswer: -9.236309225917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/10 - (-10)\/(-25). Solve 4*i - p*c - 3*c = -3, 5*c = i - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4566*o**4 + 313 + 1919*o**4 + 2055*o**4 wrt o?\nAnswer: -2368*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 7*f**2 + 86*f + 99. Calculate the least common multiple of o(-15) and 116.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22479 divided by -127.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1152\/17 - 98\/17*q**2 + 1248\/17*q + 2\/17*q**3.\nAnswer: 2*(q - 24)**2*(q - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 30. Let x be 3\/2 - (-1)\/2. Suppose 2*o + 3*d - 134 = 5*d, 2*d - 146 = -x*o. Calculate the highest common divisor of o and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.068 + -0.068. Let z(y) = y**3 - 14*y**2 - 16*y + 19. Let j be z(15). Which is the nearest to 0? (a) -1\/4 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/(-30)*6\/(-4). Suppose 0*g + w*g = -5*r + 70, g - 33 = -3*r. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 75134, 75102, 75070, 75038, 75006, 74974?\n\"Answer: -32*m + 75166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (396\/(-4840))\/((-5)\/(200\/24))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2\/5, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69851266?\nAnswer: 2, 17, 2054449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -16\/7, 4, 1\/3, -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-719304)\/(-12546)*(-3)\/4\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = -0*c + c + 64 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -41, -14, 51, 166, 343, 594?\n\"Answer: 2*q**3 + q**2 - 16*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 - (-80)\/30. Suppose -2*j + 526 = l*t, -578 = -3*j + 2*t + 191. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 5*q**2 + 6*q - 4. Let f be a(4). Let l be -4*(-2 - 2015\/20) + 0. Suppose s - 3*s + 5*v = -819, -s = -f*v - l. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:32 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnhhni. Give prob of picking 2 n and 2 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 - 2*j + 4. Let v be (936 - 5) + 0\/(3 - 1). Suppose -9*i + v = -2*i. What is the remainder when i is divided by u(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 1. Let w be q(2). Let v be ((-1)\/1 - -4) + w. Calculate the highest common factor of 40 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*n + 2173 = -1369 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*y - 0*p - 162, -5*y - p = -146. Let t(c) = -79*c - 8. Let k = -2 - 0. Let r be t(k). What is the highest common factor of y and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b273 - 181?\nAnswer: 1b0c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 11*c)*(-2*c**3 + 4*c**3 - c**3 + (1 - 3 - 3)*(c**3 + c**3 + 0*c**3)).\nAnswer: 99*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 526228 to the power of 1\/2, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 450020 + 0.06522?\nAnswer: 450020.06522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1488*o + 1487*o + 9. What is the lowest common multiple of 27\/4 - (-3)\/12 and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174052 divided by 3.\nAnswer: 174052\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 7*l + 1 = 8*l, -3*l - 9 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b. Suppose -c - 14 = -3*c. Calculate the remainder when r(2) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(-3\/2)\/h)\/h))\/h)\/((h\/h**10*h)\/h) assuming h is positive.\nAnswer: h**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x**5 - 51*x**4 - 3*x**3 + 573*x**2 + 261*x - 270 = 0 for x.\nAnswer: -6, -5, -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111994 is divided by 15896.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltllktklkttkkl. Give prob of sequence kl.\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -4.7. Let r = -6 - m. Let u = 1.30865 + -1.50865. Which is the third biggest value? (a) u (b) -4 (c) r (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 736.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-4) - (-4)\/(-208). Let j = 79\/52 + f. Put -0.4, j, 0, 3 in decreasing order.\nAnswer: 3, j, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*b - 330 = -59*b. Let g = -63 - b. Suppose -g*r + 0*r = 5*o - 14, -2*o + 2*r + 12 = 0. Solve a - 9 = -o*i, 0 = i - 6 + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 546.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.18 + 9.18. Which is the closest to -2? (a) -2 (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/40704 and 97\/11448?\nAnswer: 366336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -130*l**3 + 7*l**2 - 736*l + 7. Let g(z) = -64*z**3 + 4*z**2 - 367*z + 4. Let v(u) = -7*g(u) + 4*n(u). Find the second derivative of v(y) wrt y.\nAnswer: -432*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153067 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 13*f + 35 = 0, -y - 232*f + 229*f - 10 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15 = -t + 3*t, 0 = 2*t - 3*a + 21. List the prime factors of (24\/(-5))\/(t\/30).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**36\/u*u*u*u**(-1\/5)*u assuming u is positive.\nAnswer: u**(189\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39.6 + 40. What is the third smallest value in -2, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-12)*1893\/(2 - 3)?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let z(u) = -9*u + 1. Let r be z(-4). Let b = -1501 + 1530. Let d(f) = -b - r*f**2 + 29. Determine d(t(s)).\nAnswer: -37*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/2))**(-2\/19)\/((w\/((w*w**0)\/w))\/((w*w*w**6*w)\/w)) assuming w is positive.\nAnswer: w**(132\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9733, 77980, 263215, 623932, 1218625, 2105788?\n\"Answer: 9749*v**3 + 4*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - y + 6. Let z be 3\/12*4*0. Give x(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(325)*-6)**2 - (-2*sqrt(325))**2*-3) + 2 + -5 + 5.\nAnswer: 15602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -2.768\nAnswer: -13.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 4*q. Let y be h(5). Let p be ((-1)\/y)\/(-3 + 4). Let i be 18\/(-8)*1\/(-3). Which is the biggest value? (a) p (b) i (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956 is divided by 113?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/759864 and 63\/45230?\nAnswer: 3799320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 != 260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*t - 22 = 4*u - 7 - 7, -3*t + 9*u = 7*u + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s - 31. Let t be i(6). Suppose 2*o - t*o + 5*a = -4, -5*o - 4*a + 56 = 0. What are the prime factors of (-504)\/7*o\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1554 - -2947. Let j = -957 + g. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -398 + 426. Let m be 13\/((-4641)\/g)*3. Are m and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 8:33 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 14*w**2 - 5*w + 2. Let v be ((-7)\/((-7)\/2))\/(2\/3). Is 9 a factor of l(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-610)\/(30\/6)*3*(-33)\/198.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 11:49 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 + 7952.\nAnswer: 8040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amlmalpppppaalapp. Give prob of picking 1 a, 1 l, and 2 m.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -35*q**3 + 11*q. Let j(f) = 292*f**3 - 8*f**2 + 299*f**3 - 603*f**3 + 4*f + 8*f**2. Calculate 3*c(d) - 8*j(d).\nAnswer: -9*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.0802 - -0.1802. Let z = -4 + 6. What is the closest to 0.3 in 4, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times 9.38?\nAnswer: -196.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616175?\nAnswer: 5, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 16*k**3 - 15*k**3 - 5 + 7*k**2 + k + 3*k - 2*k**2. What is f(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -799087623 or -799087625?\nAnswer: -799087625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1865*a**5 + 385*a**4 + 4926*a**2 - 8*a + 1.\nAnswer: 111900*a**2 + 9240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -13 - (-4 + 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 21*m + 50. Let g be w(-19). Suppose -11466 = -g*f - f. Suppose -x + 437 = 2*t, -2*x + 4*x = -2*t + f. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031168572 to seven decimal places.\nAnswer: 0.0000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1089 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j. Let c(k) = -1263083605*k. Determine c(w(g)).\nAnswer: -1263083605*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -161, 1\/4, 2\/6749, 0, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 92 + 73)*(56*d - d**3 - 2*d**2 + 2*d**4 - 56*d).\nAnswer: 270*d**4 - 135*d**3 - 270*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2185\/9 - 243. Which is the third smallest value? (a) 2 (b) -18 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021001201211 (base 3) in base 13?\nAnswer: -613b31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1010?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 5*w**2 + 3*w - 9. Let t be z(4). Let i = 23 - 14. Let n = t - i. Calculate the greatest common factor of n and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27202127 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4765\/8 - -596. Which is the third biggest value? (a) x (b) -6 (c) 5 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/112 and -75\/728.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/21 + (21\/30 - 0)\/((-150)\/(-500)). Let 7\/6*m**b + 1 - 1\/6*m**3 - 1\/6*m**4 + 13\/6*m = 0. What is m?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3 + 36*g**2 + 24*g - 64 = 0. What is g?\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**2 - 11*z - 1. What are the prime factors of q(-3)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-2)\/3 - 1\/1. Suppose 3*z = -2*w - 5, 4*w - 9*z + 13 = -12*z. Sort 1, -1, w, b in decreasing order.\nAnswer: 1, -1, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/5, 3\/10, -0.13 in descending order.\nAnswer: 4, 3\/10, 1\/5, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkglsglggeslgsgklg. Give prob of sequence egl.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, n: 1, y: 14}. What is prob of picking 2 j?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986613597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 14*q + 24. Let c(u) = -15*u + 12. Let b(y) = -20*y + 13. Let t(x) = -4*b(x) + 5*c(x). Calculate 6*j(p) - 17*t(p).\nAnswer: -p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(112) + -2)*-1*5.\nAnswer: 10 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f**2 - 140*f - 259*f + 5*f**2 + 10*f**2 + 12*f**2.\nAnswer: 2*f**2 - 399*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-222)\/(-18) - (-4)\/6. Suppose 82 - y = 3*h. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5536154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -32, -22, 2, 40, 92?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2936471 to the power of 1\/2, to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 3*d**2 - 3*d)*(-50*d + 9*d**2 + 50*d)*(63*d + 11 - 10 - 46*d).\nAnswer: 459*d**5 + 27*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -88*b + 6. Let o(y) = -163*y + 11. Calculate -6*o(p) + 11*x(p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 26, 77, 160, 281, 446, 661?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1095 - -615?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, -166, -360, -556, -754?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/r)\/r*r**(1\/3)*r**(-2\/23)*r*r*r**1*r*((r*r**(-2\/11)*r*r)**(10\/9))**(-1\/63) assuming r is positive.\nAnswer: r**(888919\/143451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -7*d + 29 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2072385173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122211101121 - -1?\nAnswer: 11122211101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23105050, -23105051, -23105052, -23105053?\n\"Answer: -z - 23105049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 - 78. What is the nearest to 2\/9 in 5, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1431 and 21624?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 751\/8. Which is the third smallest value? (a) w (b) -1\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - 3*f**3 + 5*f**3)*(2*f + 2*f - 6*f)*(0*f + 20*f + 0*f).\nAnswer: -80*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a - 1. Calculate k(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35800 is divided by 4757?\nAnswer: 2501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-6) - (-4)\/(-2). Let u = 29 + -34. What is the closest to -0.1 in o, -3, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -3*m + 1, -2*m + 5*a + 0 = 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/6)\/r*r**2*(r*r\/(r\/(r\/r**(-2\/9))))**17 assuming r is positive.\nAnswer: r**(713\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 0*g**2 + 16 - 24*g + 108 - 151.\nAnswer: 3*(g - 9)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let i(s) be the second derivative of -s**3\/6 + s**2 - s. What is i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9159561\/16 > 572474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232 + 247. Let k = 19 - s. What is the closest to 3 in k, 2\/5, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 4*g + 2. Let u be a(-4). Suppose u*s = 7*s - 4*m - 36, 31 = 4*s - m. Suppose s = h + 11. Let r(q) = q**2 + 3*q + 3. Give r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*l**3*v**2 + 10*d*v**2 + 71*d + 30*l**3*v**2 + 12*l**2*v**2 with respect to d.\nAnswer: 2*l**3*v**2 + 10*v**2 + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -361 (base 7) to base 2\nAnswer: -10111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -10902 (b) 2\/7 (c) -4\/5 (d) -0.2 (e) 0.3 (f) -6 (g) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13 + 13 + 2*i**4 + 0 - 12*i**3.\nAnswer: 2*i**3*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tppzrztpztrtp. What is prob of sequence pz?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Express 14*o + 60 + 54 + 5*o**2 - 172 - 267*o + 56 as q*o + f*o**2 + a and give q.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8303 + -5145. Suppose -19322 = 4*n - l. Let a = -2560 - n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/12 and -67\/3916.\nAnswer: 11748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 54 - -29ab8?\nAnswer: 29b1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, r: 1}. What is prob of sequence rp?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 185\/4 - 46. Let x(h) = -3*h**2 - 70*h - 28. Let p be x(-23). Let b be p\/(-38)*((-392)\/40 - -9). What is the second smallest value in z, b, 4, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 6. Let t be s(-9). Solve 0 = t*a - 8*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 4*b + 3*b - 2*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 68 - 11 = 5*s, s + 2*y = 17. Let u(p) = -3*p + 2. Let c be u(6). Let l = s - c. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) - 2\/((-30)\/51). Suppose 2*n - 10 + 0 = -r, 4*n - o*r = 10. What is the hundreds digit of (-11 - n)*(-10 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h + 160 = -48*h - 5*b + 136, 7*h = -b - 42 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3)*(0*k + 18*k + 0*k)*(0*k - 4*k + 2*k) as q*k + l*k**2 + r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30811 + 30811. Suppose 0 + 5 = -5*f. What is the closest to b in f, -3, 42?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 10*g + 6 = 0. Suppose v = g*v - 90. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmqqqqqqqqqqqqm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i**3 - 70*i**2 - 35*i + 10 = 0. Calculate i.\nAnswer: -2, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8411.\nAnswer: 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + i = -4*i - 151, 5*v + 3*i + 273 = 0. Let t be (-23 - v)\/(2\/(-3)). Which is smaller: t or -49?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17670 and 36580?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*q**2 - 12*q**3 - 3*q**2 - 2312*q**4 + 0 + 2311*q**4 as a*q + h*q**3 + f*q**4 + o*q**2 + k and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 - 19*t**2 + 715*t + 59. What is z(-24)?\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 45. Suppose -9 = -k*b + 17. Suppose -b*l + 15*l = 8. Solve 0*y - 3*y + 3*o - 12 = 0, 0 = l*y + 4*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00182486354 to five dps.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90894 by 90894.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -0.16. Let z = -2813 + 19690\/7. Sort z, 4, i, 3 in increasing order.\nAnswer: i, z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -l - l. Suppose -5*d - 1 = 138*t - 139*t, 15 = 5*d - 5*t. What is the nearest to -1\/3 in 4\/7, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26393.\nAnswer: 26393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 639044912 to the nearest integer?\nAnswer: 25279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 3*x, -2*j + 5 = -5*x + 1. Suppose -4*p + 8 = -y, -4*y + 2*p = 3*p + 49. Let z = 10 + y. Is z greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739 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 w(f) be the third derivative of -13*f**2 + 5 - 1\/80*f**5 + 1\/16*f**4 - 1\/320*f**6 + 1\/2*f**3 + 0*f. Determine n, given that w(n) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 96507510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from qjqbbbuqjbbeebo?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from {m: 10, j: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 64 - 62 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Solve -3*f = 4*o - 1, -m*f - 2*o - 8 = 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1) + (-40)\/(-2). Calculate the highest common divisor of q and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5965 - -5959.002. Let m = 0.102 - u. Let r = m - 1.1. Sort -1, r, 0.1.\nAnswer: -1, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1270 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 64*o**2 - 68*o + 66. What is g(33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 3. Let y be z(4). Let m(c) = c**3 + 11*c**2 + 16*c + 7. What is the tens digit of m(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*w - 2, -5*w = 2*m + m - 42. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 191387833 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14200 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9794 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787426579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -9536, -0.1, -1\/8 in decreasing order.\nAnswer: -0.1, -1\/8, -9536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 2*n + 67, y = 7*n - 70 + 16 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -408 times -388\nAnswer: 158304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 9:11 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 267862 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 92\/5 in 4, -2\/7, 0.09, -1843, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and -9\/57091 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -20. Suppose 0 = 10*k - 2*k - 3912. Suppose -t*d - k = -11*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44144 - -22220?\nAnswer: -21424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.702712 rounded to 3 dps?\nAnswer: -2.703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l + 16. Suppose 4*r + 5*y - 62 = 12, 10 = -5*y. Suppose -3*n + r = -39. Let a(h) = -11 + h - 6 + n. Determine 16*a(s) - 3*m(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 428*w - 181036. Calculate k(423).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4944514 or -4944518?\nAnswer: -4944514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joiijjivkijkooiiiji. What is prob of picking 1 k and 1 i?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/2 - 23*g**3\/2 - 147*g**2\/2 - 193*g\/2 + 182 = 0. What is g?\nAnswer: -13, -7, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336387 is divided by 13455.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*3\/4 - 10613\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-2090)\/210 + (-24668)\/(-588)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 7*s - 8. Let k be v(6). Let i be 3 + (-1 - (4 + k)). Let m(n) be the third derivative of n**5\/60 - n**4\/24 - n**3\/2 - n**2. Give m(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 292 + -292. Which is the nearest to g? (a) -4\/7 (b) -2\/85 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 18*f**2 - 6*f + 11. Calculate l(18).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*b - 6, 3*n = 91*b - 89*b - 6. Put 119, b, 1, 2 in descending order.\nAnswer: 119, 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176774371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53069 bigger than 53072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -2*h**2 - 4*h + 0 - 1\/3*h**3. Let z be (-2)\/3*(0 - -6). Give j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 7*k - 6. Let n be i(8). Suppose -5*w = -n*w - 9. Suppose 5 = u - z - 0, 0 = w*u - z - 13. Calculate the greatest common divisor of u and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38727071335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 32, -1 in descending order.\nAnswer: 32, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 7*s - 54 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67336434 is divided by 158?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 2:30 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211 - 4.8.\nAnswer: 206.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f + 77 = 29*f + 3*i, -4*i - 204 = -4*f. Suppose -11*k = -f*k + 4550. Calculate the lowest common multiple of 52 and k.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 16*i - 302. Let o be k(19). Solve -8*y + 9*y - 4 = -3*d, 2*y + o*d = -4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 10:49 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 8*u + 19. Let c be h(2). Suppose -3*z + 4*z = j + 2, -2*j = 0. Is c >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 7 = -c - 14, -57 = 5*q + 4*c. Suppose o = x - 7, 0 = -2*o - o - 4*x - 7. Sort o, 1, q, 3 in increasing order.\nAnswer: q, o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -56 and -0.01408901.\nAnswer: -56.01408901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 455.43 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 c when three letters picked without replacement from {g: 3, c: 17}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/356252850 and 151\/174150.\nAnswer: 1068758550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1\/12 - 13850\/(-3324)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r - 6. Let h be d(-21). Let b = 83 - h. What is the remainder when 435\/b - 0\/(-2) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y. Let r(m) = 2*m + 14. Let c be r(-6). Let q be (-11)\/(-2) + 2\/4. Let n(p) = c - q*p - 2. Calculate u(n(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001126138 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 - 7*m + 5. Let j be k(-4). Suppose -5*s + 4*v = 228 - 258, 2*s - v = 9. Sort s, j, -9, 4 in ascending order.\nAnswer: -9, j, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, n: 6, o: 5}. Give prob of sequence ttn.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 796 and 16.\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 25732119.\nAnswer: 2\/8577373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 + 37*t**2 - t - 23. Let x be s(-11). Suppose -j - j = -x. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2297823320 rounded to the nearest 100000?\nAnswer: -2297800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*o**3 + 147*o**3 - 77*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -12*t**2 + 4*t + 5. Let g(a) = 5*a**2 - 2*a - 3. Calculate 4*f(p) + 7*g(p).\nAnswer: -13*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -12*p**2 + 2*p + 1. Let o(w) = -23*w**2 + 3*w + 2. Calculate 5*m(j) - 3*o(j).\nAnswer: 9*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*v - 0 + 1, -5*k + 3*v + 7 = 0. Let h = 33.4 - 31. Let n = 0.6 + h. Put k, 0.5, n in ascending order.\nAnswer: 0.5, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v + 62644 = -41292. Calculate the highest common divisor of v and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 7*o - 7. Let x be z(6). Let t be (4\/(-10))\/(-1)*x. What is the nearest to -1\/6 in 1, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6236.498 centuries to months.\nAnswer: 7483797.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83.971 + 84. Let p = 0.171 + g. Which is the nearest to 2? (a) -4 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k = -125*k - 180 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14*(-3)\/(30\/14). Let o = 1 - 31. Which is greater: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -2414?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 15. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*n = -49*n + 36. Let b(q) = 22*q + 145. Calculate the remainder when 101 is divided by b(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r = -13*r + 92 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110880 by 5280.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k**3 + k**2. Let q be a(1). Suppose 6*p + 2 = 5*p. Put p, q, -3 in increasing order.\nAnswer: q, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -324*z**3\/7 - 1332*z**2\/7 - 145*z\/7 - 4\/7 = 0?\nAnswer: -4, -1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 10, -3*k - 12*m = -4*m - 13*m + 68 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5033 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 1721494 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 6*u - 2*d - 388008, 3*u + 5*d + 582020 = 0. What is u rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - 6*f**2 + 5*f + 4. Let u(k) be the first derivative of k**4 - 11*k**3\/3 + 9*k**2\/2 + 7*k + 6. Calculate 11*p(s) - 6*u(s).\nAnswer: -2*s**3 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 4)*(-255)\/102?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3241794862 + 3241795048.0000183. Let i = f - 186. What is i rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 3. Let t be u(-5). Let a(w) = -23*w + 20. Let k be a(-1). Find the second derivative of 72 + 6*b**t + 15*b - k*b - 72 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**2 + 7*j + 11. Let l(z) = -3*z**2 + 6*z + 12. Let c(h) = 5*l(h) - 4*s(h). Let y = 480 + -493. What are the prime factors of c(y)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 + (-44 - -16))*(-6006)\/312.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80928092.\nAnswer: 2, 7, 17, 73, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*s**5*y**2 - 25*s**5*y - s*y + 4988*y**2 - 3*y wrt s?\nAnswer: 680*s**3*y**2 - 500*s**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (sqrt(700) + (3 + sqrt(700))*-6 + sqrt(700))) + 1 + -4)**2.\nAnswer: 1500*sqrt(7) + 17725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7165, -14377, -21583, -28777, -35953, -43105, -50227?\n\"Answer: v**3 - 3*v**2 - 7210*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**3\/2 - 4*y. Let v(k) = 6*k. Give v(w(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -7*g**4\/12 + 2*g**2 + 251*g. Let t(l) = 6*l**2 - 4. Give -4*o(a) - 5*t(a).\nAnswer: -2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-3) - 57\/(-6)*-2. Let u be (-210)\/(-175)*(-10)\/y. Let p be ((-1)\/(-5))\/((-8)\/10). Which is the biggest value? (a) p (b) 0.01 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0025 + -0.5025. Suppose 1 + 0 = v. What is the nearest to v in -1, i, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*k + 25, 2*k + 0 = -10. Suppose -5*v - 21 - 15 = 4*b, 3*b + 12 = 0. Put v, -5, w in ascending order.\nAnswer: -5, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 33*x**5\/2 - 26*x**3\/3 + 146*x - 2. Find the second derivative of m(f) wrt f.\nAnswer: 1980*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 45. Let a = 36 - m. Suppose -s - 1 = 3*u - 8, 3*u + a*s + 3 = 0. Calculate the remainder when 5 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111419267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 a when three letters picked without replacement from ahafaiafaffafaffaatg?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(6)\/sqrt(3)*2 + sqrt(98) + -2)**2.\nAnswer: -36*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -828.745 - -126.215. Round s to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -23*s + 487. Calculate d(22).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 53 = -93 + 94 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/161, -3, 23, -4\/95, -6, -4?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 744*v**2 + 2449*v?\nAnswer: 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*75\/117 + 992\/(-3224)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54808*g**2 - 1956*g - 584598419.\nAnswer: -109616*g - 1956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 258*f**5 + 10*f**2 - 3*f?\nAnswer: 15480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 6*h - 29. Give x(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of (-2)\/12 - (-66006)\/108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 3*s - 2. Let q(d) = -d**2 + 4*d + 3. Let p(z) = 3*l(z) + 2*q(z). Let t be p(4). Solve 3*m = -5*a - 11, -2*m + 6*m + 4*a + t = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -n + 15222, 23399 = n - 3*w + 8149. Is n a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (11 - 18) - (0 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 21*j. Let l be t(-21). Solve l*w - w - 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 4*p**2 + 3*p - 7. Let j be c(4). Suppose 0 = u - 4*m - 70, 0 = -0*u - j*u - 2*m + 284. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/8)\/(-3)*(-171)\/((-684)\/200)\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 3705?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51482.91 litres to millilitres.\nAnswer: 51482910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -278 or -1675\/6?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -199\/3 + 67. Is y at most as big as 6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428402, 856805, 1285208, 1713611, 2142014, 2570417?\nAnswer: 2998820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83058862 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5))**(-36)\/((x*x*x**(-2))\/(x*x**(-2\/3))) assuming x is positive.\nAnswer: x**(221\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/9, -4\/3, -231?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25666 - 1463177.\nAnswer: -1488843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9 - ((-13)\/3 + 2). Let j be z + (-7 - -1) - -9. Let b be -1 - (1\/j - (-84)\/(-20)). Solve -2*h - b*h + 18 = t, 2*t = -5*h + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93148 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o + 158 = -p, -410 = 4*p + 3*o - 420 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54751?\nAnswer: 54751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-1876.\nAnswer: -131.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 25. Suppose o*i - 15*i = 0. Let a be (-4 - -4 - i) + (2 - -1). Solve -3*q - 14 = -2*z, q + 4 = a*z - 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 0.55779.\nAnswer: -0.502011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b*b)\/(b*b*b**(4\/7)))\/((b*(b\/b**(-20))\/b)\/b**(-15)) assuming b is positive.\nAnswer: b**(-270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1166935 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -91118 and -3768.491.\nAnswer: -94886.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 599 (b) -30 (c) -4 (d) 2\/9 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 3*i**2 + 770*i + 3830. Give s(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63957726 and 22.\nAnswer: 703534986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 11, -69, -217, -445?\n\"Answer: -2*k**3 - 16*k**2 + 38*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(1100) + sqrt(1100) + sqrt(1100) + sqrt(1100)*1 + sqrt(1100)))**2.\nAnswer: 1\/1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*h - 2 = 66, 0 = 4*h + 12. Is 36*d - 20\/(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 25, 5 in descending order.\nAnswer: 25, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2015175 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r - 38. Let s be f(-6). Let m(g) = 3*g - 2*g**2 + 3*g + 0*g**2. What is m(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 9 + 17. Let b be z\/(-2) + 12\/4. Suppose 0 = 3*a - 15, 2*k - 4*a + 17 = k. Solve b*d = k*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 + 52*u**3 + 27*u**4 - u**2 + 34*u**3 - 88*u**3 + 5*u - 2*u in the form r*u**3 + l + i*u + t*u**4 + w*u**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -627*f. Let r(c) = 19*c. What is -133*r(d) - 4*u(d)?\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39*p*s*v**3 + 5635*p*s*v**2 + 844*p*v**2 + p*v - 5*p - 2*v**3 - 8*v**2 wrt s.\nAnswer: -39*p*v**3 + 5635*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asssamamsaauaaaaa. What is prob of sequence ms?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 321*y + 5371. What is the units digit of b(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2839)\/(-334))\/(1\/114). Calculate the highest common divisor of j and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 705.116 to zero dps.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*d = 705 + 2221, 3*q - d - 2200 = 0. List the prime factors of q.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 13 = -0*b - 2*x, -3*x = -4*b + 9. What are the prime factors of (-2)\/b + (-325)\/(-15)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*n + (-n - 6*n + 26*n)*(2 + 2 - 3) + (-3 - 1 + 6)*(-n - 2*n + n).\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*v**4 - 760*v**2 - 20279 wrt v?\nAnswer: 28*v**3 - 1520*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (12 - (26 + -13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + (-3 + (sqrt(704) - (sqrt(704) + 0)))**2 - ((5*(sqrt(704) + -2))**2 + sqrt(704)))*-1.\nAnswer: -800*sqrt(11) + 17691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*n + 129*n - 2*h - 6, -5*n = h - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhy when three letters picked without replacement from hcmyhyphpphhpc?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8211642, -8211645, -8211648, -8211651, -8211654, -8211657?\n\"Answer: -3*q - 8211639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**3 - 2*x**2 - 8*x + 3. Is p(-4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 q when four letters picked without replacement from {h: 3, q: 4, u: 9}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (20 - 10) + (1 - -7) + 7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -11*w**2 + 13*w - 4. Calculate q(7).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 17*p + p**2 - 9*p - 994 + 14*p.\nAnswer: p**2 + 17*p - 994","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -90, -152, -226, -306, -386, -460, -522?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 492240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94350 divided by -17.\nAnswer: 5550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.10402 + -10213922.\nAnswer: -10213921.89598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 118503 times 11?\nAnswer: 1303533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.9 + -17. What is the closest to d in 2\/5, 0.3, 4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 0.1 (b) -170 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 73. Give q(-13).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 9:45 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7216186l to millilitres.\nAnswer: 721.6186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 584329 to the nearest 1000.\nAnswer: 584000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31158152 by -106706.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-12)*(0 - -3). Let x(h) = h - 5. Let u be x(3). Which is the closest to -2? (a) u (b) -2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -381, -622, -891, -1182, -1489?\nAnswer: -1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**3 - 3135*i**2 + 561600*i - 31011500 = 0 for i.\nAnswer: 130, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1432, -6557, -19868, -38501?\nAnswer: -62456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 27 = 8 + 4. Solve -2 = 2*u, 3*z + 3*u - p = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72? (a) 1 (b) -1104 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-32 - -29 - (-1 + 2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {s: 5, z: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1042, -1228, -1418, -1612, -1810, -2012, -2218?\n\"Answer: -2*w**2 - 180*w - 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5891420?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -0.13.\nAnswer: -1.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)*(-18)\/(-3). Let o be ((-6)\/(-4))\/(h\/(-12)). Is (-142*12\/8)\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2*sqrt(5600) - sqrt(5600)) + sqrt(5600) - sqrt(448)\/(sqrt(96)\/(sqrt(192) - sqrt(12))))\/(sqrt(1152)*2 - (2*sqrt(384))\/sqrt(12)))**2.\nAnswer: 89383\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 298783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 13 = 3*z - 12*d, -5*d - 19 = z. Let g(v) be the first derivative of -v**3\/3 - v - 11. Let l(h) = 6*h**2 + 3. Determine z*l(x) + 3*g(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + (sqrt(102)*-2*6 + sqrt(102) + -5*(sqrt(102) + sqrt(102)*1))\/(sqrt(270)\/sqrt(5) + sqrt(6) - ((-2*sqrt(30))\/sqrt(5) + sqrt(6))) + 3.\nAnswer: -21*sqrt(17)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 66*g + 328. Determine c(5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*h = 11, -3*i - 2*h = 3*h + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11489 divided by 1.\nAnswer: 11489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 12) to base 7.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 2628\nAnswer: -262.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k = 2*b - 12, 5*b + 10 = 5*k. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**3 - 461*g**2 - 534*g - 71. What is b(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 75682292\nAnswer: -3\/75682292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 - 46 = 0. Suppose 13*u + 28 = v*u. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/((-1)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 46*u**3 + 944*u**2 + 46254*u - 47151.\nAnswer: -(u - 31)*(u - 1)*(u + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -6 - ((-1 - 0) + 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 1 - 1) + -487 + 503?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2 - 99*a - 1974 = 0. What is a?\nAnswer: -14, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 1. Let m be f(-2). Suppose m*x - 2*x - 5 = 5*s, 5 = -s + x. Suppose s = 2*d - 7*d - 3*v + 35, 28 = 4*d + 3*v. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*z, 4*z = 2368*f - 2372*f - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -29*h**3\/3 + 103*h**2\/2 + 49*h. Is a(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33089*s + 31327*s - 64435*s.\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2)*(-45)\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nkxxxxkxxknxnnnx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 1. Let y(l) = 2*l + 4. Let v(h) = 14*w(h) + 5*y(h). Let s = 4 + -12. What is the remainder when v(s) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:11 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33\/20 - -403\/220. Sort -4\/7, -226, l in increasing order.\nAnswer: -226, -4\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*(r*(r*r*((((r*r**6)\/r)\/r)\/r*r)\/r)\/r)\/r)\/r)*r)\/(r**(-3\/2)*r))**(-1\/83)\/(r**(-1\/10)\/(r*r**1\/r*r*r)*r**(-1\/3)*r**(5\/3)*r) assuming r is positive.\nAnswer: r**(992\/1245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(59*v + 12*v + 7*v)*(0*v - 2*v + v)*(-2 + 1 - 1).\nAnswer: -312*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 4*x - 2. Calculate v(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + (3 + -1 - -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*l - 3 - 5*l**2 - 100*l + 2*l**2.\nAnswer: -3*l**2 - 310*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 4. Let n be b(-4). Suppose -5*a + n = 15. Let c(j) = -2*j. Let x(k) be the first derivative of k**2 - 1. What is a*x(m) - 4*c(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3143 - 25286. Round y to the nearest 100.\nAnswer: -22100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304\/(-57)*9834\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19205\/1955 + 3 + (-56 + 4)\/4\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/66)\/((-6)\/8). Let h be -1*3 + (-352)\/(-110). What is the nearest to -2\/5 in s, 4, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 12)\/(2\/1). Solve z + 25 = -5*n, 2*n + 14 = -m*z + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63036*n*t**4 + 128*n*t**3 + 81294*n - 416 with respect to t.\nAnswer: -252144*n*t**3 + 384*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-4)\/(-6))*-1. Suppose -q*d + 505 = 2*d. What is the common denominator of (-5 + 6)\/(4\/d) and -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -36588336, -73176654, -109764972, -146353290?\n\"Answer: -36588318*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*p + 28 + 127, -5*v + 3*p + 211 = 0. Which is the nearest to -2? (a) -1 (b) v (c) 10\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 63. Suppose 188 = 3*q + n, q + 4 - z = n. Let f = q + 79. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1235*d - 209957. Determine t(170).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 7101.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11486904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2882863 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1487*z - 10501 - 31677 - 7797 = -512*z for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130032321100 (base 4) to base 3.\nAnswer: 111221000022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/7 (b) 27\/14 (c) 4 (d) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -5*p. Suppose 5*n = -p*f + 2*f + 29, 0 = 5*n - 4*f - 33. Solve 2*v - 5*v = -3*a, 0 = -2*v + n*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 716 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -133? (a) 0 (b) 0.1 (c) -0.4 (d) 14\/11 (e) -1\/257 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2 + 17252*i - 86360 = 0. Calculate i.\nAnswer: -4318, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) - 2629\/(-44). Calculate the highest common divisor of i and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.033 times -0.053\nAnswer: -0.001749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -435 + 443. Let i be (-4)\/(-3 - 10\/(-3)). Is (y - 2)\/3*(-534)\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -150 smaller than -421595\/2787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -5*p**7\/42 - 5*p**6\/3 - 5*p**5 + 25*p**4\/6 + 35*p**3\/2 - 69*p - 2. Solve c(t) = 0 for t.\nAnswer: -7, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -324 - -329. Suppose g*l - 4*k = -8*k + 3754, 0 = -l - 3*k + 742. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 22*q**3 + 17*q**3 + 14*q**3 - 7*q**3 + 9*q**2.\nAnswer: 46*q**3 + 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 - r**4 + r**4 + (-1 + 1 - 2*r**2)*(4*r**2 + 0*r**2 - 3*r**2) + 45*r**3 - 45*r**3 + 55*r**4.\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 129012925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -262\/1683 - 4\/153. Suppose -8 = 4*y, -3*j - 4*y - 2 = -3*y. Suppose j = x + 1 - 16. What is the closest to x in -0.2, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-20 - -34) + -3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 + v + 4 + 0*v - 20*v**2 - 27*v**2 + 44*v**2 + 2*v**3 to the form y*v + o + q*v**2 + k*v**3 + a*v**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/6 + 3328*j\/3 - 13304\/3 = 0 for j.\nAnswer: 4, 6652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76275078, 76275080, 76275084, 76275090, 76275098, 76275108, 76275120?\n\"Answer: a**2 - a + 76275078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-27)*-9*(-4)\/24. Let n = 86 - 171\/2. Which is the biggest value? (a) z (b) n (c) 3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**2*v**2*w + 2*n**2*v**2 + 21*n**2 + 105*n*v**2*w + 32*n*v*w + 2*v*w wrt v.\nAnswer: 4*n**2*w + 4*n**2 + 210*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/24)\/(-3*(-9)\/(-15))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 119.4?\nAnswer: -477.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -24.\nAnswer: -29\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -564, -1268, -2254, -3522, -5072, -6904?\nAnswer: -9018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.89 + 3. Let c = 0.110025 - u. Round c to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*b**4 + 261508*b**6 + 854*b**2 - 264461*b**6 + 0*b**4 wrt b?\nAnswer: -354360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.982421 rounded to 1 dp?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 69371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dppp when four letters picked without replacement from {p: 15, d: 3}.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/295 and 33\/8?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 616687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695610725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3\/5*-32*190\/(-38304)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 247\/(-57)*(-72)\/(-60)*5\/(-2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 612?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(-4*p + 2*p + 3*p) + 5*p + 0*p - 2*p in the form s + r*p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 79*m**2 - 75*m - 220. Calculate the remainder when 321 is divided by z(78).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/96)\/((-4)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, v: 8}. Give prob of sequence qv.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 6:50 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21590033 is divided by 289.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 56*g**2 - 111*g + 175. Calculate k(54).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 65, -694, -2737, -6700, -13219, -22930, -36469, -54472?\n\"Answer: -106*d**3 - 6*d**2 + d + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -5 - 1\/5*u**5 - 3\/2*u**2 - 7\/3*u**3 - 5\/4*u**4 + 0*u. Let v(d) = 0. What is d?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 417 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2839880036.295059669 - -2839880035. Let h = 1.38905929 + l. Let y = h - 0.094. What is y rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -85*a**4 + a**3 - 119*a**2 + 1. Let x(i) = 17*i**4 + 24*i**2. Let b(u) = -2*n(u) - 11*x(u). What is the third derivative of b(f) wrt f?\nAnswer: -408*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + -4 + 8 - (175 + -170).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2276*p*r**3 - p + 42*r**3 - 34*r**2 + 17*r - 1 wrt r.\nAnswer: 13656*p + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l*l*l\/l**(-6\/13))*l*l)\/l*l*l**(-14)\/l*(l**1\/l*l*l)\/l**(12\/11) assuming l is positive.\nAnswer: l**(-1795\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 36*q - 40. Let p(h) = h**2 - 36*h + 41. Let r(y) = 5*p(y) + 6*v(y). Factor r(l).\nAnswer: -(l - 35)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -111. Let d = r + -58. Let g be 1\/((-2)\/(-12)) + d. Solve 0*s = g*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 - -60 - (64 + 16)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16989 + 2*c + 16948 - 33957 + 0*c + 0*c.\nAnswer: 2*c - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, t: 1, n: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9270\/61 + 152. Which is the nearest to -2\/3? (a) -5 (b) y (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 4*i = -181587 + 64827. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (21\/3)\/((-13)\/2 - -2) and -65\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 77437, 0.5, 1, 2, -27?\nAnswer: 77437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201100102200212 - -1?\nAnswer: -201100102200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105361 = 15*v - 60749. Is 49 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*m, 2*m + 20 + 8 = 2*l. Let f be (14\/6 - 1)*3. Suppose -5*p + l = 0, z - f*p - 4 + 3 = 0. What is the remainder when 16 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 + -1162?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8097216 by 4.\nAnswer: -2024304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8505)\/441)\/((-96)\/(-224))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.15538 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -34*x**4\/9 + 38*x**3\/9 - 2*x**2\/3 - 3*x. Factor j(w).\nAnswer: -4*(2*w - 1)*(17*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4986344.07 to the nearest one thousand.\nAnswer: 4986000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 435.8504 milligrams?\nAnswer: 0.4358504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*m + 3166 - 44 = -253*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 0.2, 106\/23, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 3\/(6\/4). Let d = 42 - 71. Let k = -552\/19 - d. Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4227*p + 4235*p - 80 = 0. Let j be (-62)\/310*p\/(-4). Factor -5\/4*x**2 - j*x - 1\/4*x**4 + 0 - x**3.\nAnswer: -x*(x + 1)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q**2 - 34 - 99*q**2 - 26*q + 26*q.\nAnswer: -69*q**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39\/28 - 9825\/28. Let q = 350 + s. What is the second smallest value in -45, q, -3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.53308 micrograms to tonnes.\nAnswer: 0.00000000006053308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -29. Suppose -4*u - 1 - c = -4*z, 0 = -3*z + 5*u + 3. What are the prime factors of (3\/z + -13)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/16 equal to -0.1171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2 + 2)*(n - n - 2*n) + 12*n - 404 - 423 + 860)*(3 - 7*n - 1 + 0*n) to the form w + b*n**2 + k*n and give b.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*s - 16. Solve -5*a - 10 = s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -314 + 5?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/3644 and -119\/16441728.\nAnswer: 16441728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:04 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeweeweee. Give prob of sequence we.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**6\/4 + n**5\/15 + 7*n**3\/2 + 21*n**2 - 2. Find the third derivative of o(d) wrt d.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**5\/100 + f**4\/15 - f**3\/10 - 5*f - 1. Solve i(c) = 0 for c.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 - 52. Suppose -q*c + 866 = -70*c. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1548489 or -6\/5?\nAnswer: -1548489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 15 = -2*m. Let d(k) be the second derivative of k**4\/12 - 7*k**3\/6 + 7*k**2\/2 - 70*k. What is d(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgggsgggsgg. What is prob of picking 1 g and 3 s?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 1. Suppose -24 = 3*w - 0*w. Let i = -2 + -11. Let b = w - i. Determine p(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s + 3. Suppose a + 3*a = -2*l - 12, 5*l = 5*a + 30. Let p be d(l). Let w = p - -64. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k)\/k**(-5)*(k**(1\/7)*k*k)\/((k**(1\/3)*k)\/k*k)*((k*k*(k\/(k\/(k\/(k**2*k))))\/k)**(-2\/7))**20 assuming k is positive.\nAnswer: k**(179\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*m**3 - 360*m**3 - 85*m**3.\nAnswer: -353*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*t + 409 + 331, -5*t = 5*q - 1240. Suppose -74 - t = -4*k. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + 1. Let b be w(7). Let r = b + -19. Suppose -160 = 6*v - r*v. What is the least common multiple of 4 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 14*w**2 + 2*w - 25. Let g be v(14). Solve 3*b = -0*b - g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199632326 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 760.084 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.44544cm to meters.\nAnswer: 0.8844544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80852666 is divided by 40426329.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1615\/46322 + 483\/22218.\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 14*z - 9\/4*z**4 - 3 + 0*z**3 + 0*z**2. Differentiate x(j) wrt j.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113789983 to the nearest integer?\nAnswer: 10667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 461293663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((12\/9)\/(-2))\/(2\/(-21)). Let u(d) = 2*d - 3. Let y be u(6). Let n = y + f. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 2*q**3 + 0*q**2)*(3*q - 2*q - 2*q) + (-2*q - 2 + 2)*(q**3 + q**3 - 3*q**3)*(2 - 7 - 26).\nAnswer: -60*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 36 = -5*x. Let i = -5 - -9. Calculate the greatest common divisor of i and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:01 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 3661*p - 18283. Give x(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11965 is divided by 412.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6714 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 8:39 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1)\/k)**(18\/7)*(k**(1\/5)*k)**(-2\/21))**(12\/13))**(-3\/5) assuming k is positive.\nAnswer: k**(6624\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -11 - 407*n**3 + 408*n**3 - 11*n**2 - 3*n**2 - n + 3*n. Let k be x(10). Let j = -2725\/7 - k. Is j greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4627726 and 13473?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391 - 390.399. Let f = k - 0.55. Let o = f - 0.551. Which is the closest to 1\/4? (a) 3 (b) o (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3968 = 4*r - 712, 5*r + 4*i - 5853 = 0. What are the prime factors of r?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 4*r**4 - r)*(-6*r - 10*r + r) + (5*r**4 - r**4 - r**4)*(-1 - r + 1) + 0*r**2 - 2*r**5 + 0*r**2 + 2*r**5 + 3*r**4 - 3*r**4.\nAnswer: -63*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 37 - (-752 + 671)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - 21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + i)*(-i - 2 + 2 + (0*i - 9*i + 4*i)*(3 + 3 - 2)) in the form u*i + b + y*i**2 and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwdee. Give prob of picking 1 w and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 97, -15, -199, -455?\n\"Answer: -36*n**2 - 4*n + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2562*r**3 + 1282*r**3 + 1274*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 233*12\/6*(-2)\/4. Let d = 97 - o. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*4\/63 - 88\/308?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 + a. Let r(q) = 24*q**3 - 3*q**2 + 3*q. Give -r(h) + 3*u(h).\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 20. Let x be 1\/(-3) + (-6)\/9. Let g = x + 5. Calculate the lowest common multiple of s and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(4)*-1*-2).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 7 - 8172*v - 14 + 8175*v - 25.\nAnswer: 3*v - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 2*h + 7*h + h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -2 (c) 4634\/5 (d) -0.5 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:26 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163\/9 + -196\/9. Calculate the common denominator of w and ((-138)\/(-20))\/1 - 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -20. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2662 - 443 = -380*c + 695 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**4\/6 + 6*r - 111. Let l(g) = -926*g. Calculate l(z(s)).\nAnswer: -1852*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 1600*z. Let y(b) = 11*b. Give y(l(t)).\nAnswer: -22*t**2 - 17600*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -190*g**2. Let z(a) = -a**2. Give k(z(j)).\nAnswer: -190*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 18 = o. Let x = -12 - o. Let y(d) be the first derivative of -d**3\/3 - 7*d**2\/2 - 6*d - 1. What is y(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3776*y + 36. Let z(c) = 532415*c - 5070. Give -845*w(n) - 6*z(n).\nAnswer: -3770*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*r = -v - 858, 0 = v + 5*r + 207. Is (v\/2)\/((-11)\/22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -9*a**6\/40 - 10*a**3\/3 - 7*a**2. Find the first derivative of v(n) wrt n.\nAnswer: -81*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -155*h + 17. Let n(z) = -543*z + 60. What is 18*l(w) - 5*n(w)?\nAnswer: -75*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39294098 divided by -2.\nAnswer: 19647049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273723310?\nAnswer: 2, 5, 61, 1229, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224 or 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 7*b**2 + 8*b**2.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -92073731 and -0.4.\nAnswer: 36829492.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -8, 5*r - 2 = k + 4. Suppose 4*a + 4*i = 4, 0 = 3*a - 5*i + 6 - 1. Suppose -w + 3*w - 4 = a. Solve w*s = 4*s - r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, -5, 26, 4.\nAnswer: -5, -1, 4, 10, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -16253*n - 2031734. Determine y(-125).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 274725180 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*i - 143*i - 10 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**3 - 35*w**3 + 15*w**3 + 15*w - 15*w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 2*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -25. Let b(u) = u**2 + 25. Let k be b(0). Calculate the remainder when (k - 0) + 0\/1 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4067 divide 4617207887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -m + 15, -4*g - 9 = 68*m - 63*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*m**3*n**2 - m**3*n + 226*m*n**5 + 7512*m*n wrt n?\nAnswer: -136*m**3 + 4520*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 77 = -4*j. Let z(y) = -3*y - 3. Let l(k) = k**3 + k**2 - 1. Let m be l(-2). Let q be z(m). Calculate the greatest common factor of q and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 1, e: 1, v: 1, f: 4}. Give prob of sequence zh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9127054223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 22026.\nAnswer: 22026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {c: 2, m: 1, q: 1, k: 2, j: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 2*p**2 - 14*p - 21. Let j be b(-2). Suppose -j*c + 264 = 15*c. Solve 2 + c = 14*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**6\/120 - r**5\/15 - r**4\/8 - r**3\/6 - 18*r**2. Determine h(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1856711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -16. Suppose t*h = 3 - 12. Let w(u) = -u + 5. Let f be w(0). Put 0, f, h in increasing order.\nAnswer: h, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 15 = 91*k - 86*k, 5*k = -3*d + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0093769718 rounded to 4 dps?\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82736 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(0 - (-4)\/(-12))\/((27280\/60)\/22).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/((-6)\/108). Let c be -1*(0 + 3 + -3). Let j = c - l. Let v(f) = f**2 + 8*f + 8. Calculate v(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**3\/3 + 4*h. Let a(i) = -i. What is a(m(v))?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68081012 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.51075395 to one dp.\nAnswer: 127.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.173911 to 3 dps.\nAnswer: -0.174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119384549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - z + 3*z)*(3*z + 2*z - 3*z)*(-5*z**2 + 9*z - 9*z) to h*z + a + b*z**3 + y*z**4 + r*z**2 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*x = -87*x + 252 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*x + 3*x + 5*r, r + 25 = 4*x. Let t = -10 + x. Let v = t - -9. Solve -v = q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45 (b) 0.08 (c) 1 (d) 177 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -520 - -528. Is 1041 - 15\/(30\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -97, -2, -4, -5.\nAnswer: -97, -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 8:59 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2176)\/408*(-6)\/(-8)*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 64.01792mm?\nAnswer: 0.06401792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 4*w + 3*m, m = 2*w - w - 43. Suppose -4*n - w = l - 6*l, 2*l = 5*n + 30. Let p(z) = z**2 - z + 1. Let h be p(1). Sort -2, n, h in ascending order.\nAnswer: n, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7839 - 15679\/2. Which is the nearest to r? (a) -2\/7 (b) 3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30\/7 - 971\/42. Calculate the common denominator of h and -53\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -0.7827?\nAnswer: 1.2173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51140?\nAnswer: 2, 5, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Suppose 2*j = 4*v + 28, 3*j + 3*v = 2*j + 29. Suppose -4*p - j = -4. What is the nearest to x in 3, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -5. Suppose -2*x - 3*x + 170 = 0. Let f = x + -20. What is the highest common factor of f and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 218643 and -307.56.\nAnswer: 218335.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2168 divided by -7503\nAnswer: 2168\/7503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20 and 911.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 653312?\nAnswer: -653311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r - 2*r**2 - 4*r + 4*r**2. Let a(m) = 3*m. Give n(a(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k**3 - 6620*k**2 + 17740*k - 8880.\nAnswer: -5*(k - 2)*(k + 444)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 - 4*o - 3. Let q be a(-3). Let y be (q\/3 - -2)*-10. Suppose 16 = 4*r, k - 6*k + 4*r = -24. What is the greatest common divisor of y and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**7\/840 - f**6\/180 - f**3\/3 + 2. Let o(r) be the third derivative of i(r). What is the third derivative of o(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -11. Let h be w\/(-4) - (-3206)\/(-6252). Let s = h - -127003\/31260. Find the common denominator of -117\/20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-15))\/(30\/(3330\/7))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 11*s**2 - 11*s + 17. Let a be j(-12). Let b = a - 2. Suppose 5*c = -m + 43, -b*c - 23 = -m + 2*c. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:36 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.112861 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-10))\/((-339)\/(-678)))\/((-28)\/(-60)*1).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -132\/17 = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (131 - (-94 + 128))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.5391842 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136431366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 5. Let v = 367 - 4411\/12. Find the common denominator of 190\/g + (-1)\/2 and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 1. Let r be k(0). Let w = -6 + 2. Suppose -4*v - 3*p + 8 = 0, v = -0*v - p + 3. Put v, w, r in decreasing order.\nAnswer: r, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1530.775 - -1514. Let s = -0.175 - h. Let f = s - 22. What is f rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4)\/o**(1\/4))\/((o\/(o*o\/(o\/o**(-7)*o)))\/o**(-5)))\/(o**(-3\/7)*(o**3\/o)\/o)**(-6) assuming o is positive.\nAnswer: o**(-387\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 0.01, -7\/5, -109\/4, 0.3, -1\/2, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Suppose 661*l - 666*l + 37 = -3*u, -2*l = -3*u + 5. Put -1, l, x in descending order.\nAnswer: l, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 8) to base 12\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21100212 (base 3) in base 16?\nAnswer: -14f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3771512?\nAnswer: 2, 471439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 7*x. Let z be 31 + 2 + x + 2 + 0. Suppose j = 2*o - z, -3*j + j + 5 = o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d - 62. Let b be l(13). Solve 3*k = -4*w + b, 0*w + 3*k - 8 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227 - 181. Suppose 8*l + y = 78. Let r(p) = -15*p**3 - 55*p**2 - 55*p - 55. Let x(d) = d**3 + 3 + 1 + 4*d**2 + 3*d + d. What is l*r(k) + 55*x(k)?\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6873905 divided by 5.\nAnswer: -1374781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 7, k: 2}. Give prob of sequence kd.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -11, -1, -69 in descending order.\nAnswer: 0.07, -1, -11, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 12565908*d + 9 + 1259281*d.\nAnswer: 13825189*d - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 7*g**2 - 656. Let v(k) = -3*k**2 + 3*k**2 - 4*k**2. Determine v(m(z)).\nAnswer: -784*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(r**4 - 1 + 1) - 258*r**3 - 268*r**3 + 346*r**4 + 526*r**3.\nAnswer: 343*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) 5 (c) 14 (d) -0.1 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9068 and 0.06.\nAnswer: 544.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3083 or -3072?\nAnswer: -3072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from psebbebbbbbe.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -87*u**4 - 134*u**3 - 2*u + 5004 wrt u?\nAnswer: -348*u**3 - 402*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4348 + 4352. What is the closest to -30 in o, 1\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 360 - 76 = -4*m, -m - v + 114 = 0. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u)\/u)**(-2\/19) assuming u is positive.\nAnswer: u**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 g when three letters picked without replacement from gaaaaag.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/177, -484.\nAnswer: -484, 0, 2\/177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 12:14 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -3523?\nAnswer: -3524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.68 - 154.32. Let u = f + 111. Let m = u - -46.76. Round m to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((-3 + sqrt(396) - sqrt(396))*-2)**2 - (sqrt(44)\/(6*sqrt(4)*-2))**2) + -4.\nAnswer: 3877\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/592*(-650)\/1300.\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2 - q + 4. Let k(r) = 6*r**2 - 5. Let l(z) = -3*h(z) - 2*k(z). What are the prime factors of l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*m - 1009 = -2640. Sort m, 0, 2, 33, 1 in increasing order.\nAnswer: 0, 1, 2, m, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**3*g*g)*g*g))\/(g\/(g\/(g**(-2\/17)\/g)))*(g\/g**(1\/3))**(1\/13)*(g*g**(2\/7))**47*g**(1\/4)*g**2 assuming g is positive.\nAnswer: g**(1240957\/18564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2034902750 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8011, -15451, -22891, -30331, -37771, -45211?\nAnswer: -52651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/28)\/(10\/40).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10022231 + 1222?\nAnswer: -10021003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 287649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1579332 and 744?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59575387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dadduauuadatdtut. Give prob of picking 2 u, 1 a, and 1 d.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((10\/(-32))\/(530\/424))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1534956*l**3 + 535*l**2 + 198?\nAnswer: -9209736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19566814?\nAnswer: 2, 67, 146021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 50. Are a and -0.053 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 590727*f**2*h**2*r**2 + f**2*h**2*r + 2*f**2*h*r + 3*f**2*h - 3*f*h*r**2 + 1075*f*h*r + 207*r**2 wrt h.\nAnswer: 1181454*f**2*r**2 + 2*f**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -10*m**4 + 5*m**3 - 4*m**5 + 3*m**3 + 6*m**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 5. Let c(s) = 147*s. Calculate c(g(b)).\nAnswer: -294*b**2 + 735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31024 - -50?\nAnswer: -30534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 650519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2799, -11075, -24853, -44127, -68891?\nAnswer: -99139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/4, -1\/6 in decreasing order.\nAnswer: -1\/6, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*l - 0*z + z, 2*z - 6 = -2*l. Let w be (-7)\/(l - (-392)\/(-401)). Let d = w - -313. Calculate the common denominator of 145\/6 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -34. Suppose 4*o + 43 = z, 3*o = -6 + 3. Let w = d + z. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-44)\/(-3)) - (-625)\/275. Let p = -6 + 30. Let k be (-2)\/4*p\/(-3). Solve 3*g - k*g = -r - 5, f*g - 18 = 4*r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 343.18 + -0.18. Let f = p - 342.9534. Round f to 3 dps.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66756\/55630*(-38*15\/6)\/(6\/3).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4122 - 524644?\nAnswer: -520522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27 - 1)\/((-29)\/((-145)\/10)). Which is greater: -87 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d**2*f*w + 2*d**2*w**3 + 5*d*f*w**3 - 2*d*f + 2*f wrt d?\nAnswer: -14*f*w + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9031, 9014, 8997, 8980?\nAnswer: 8963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -212*v + 5. Suppose 0 = 4*r - 22 - 2. Suppose -3*u - r = 3. Is m(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(3))**2 + -4 + sqrt(63) + -2)*6.\nAnswer: 6 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 589 and 647280372.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013768597 to 5 decimal places.\nAnswer: -0.01377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 0*w + 38*w**2 - 22*w**2 + w**3 + 2 - 19*w**2 to k + y*w**2 + o*w**3 + c*w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*q = -247*q. Solve -4*f + 58 - 38 = q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 + -185. What is the smallest value in 3, 1, -1\/5, w?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20403 and 0.5.\nAnswer: 20403.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 15 = 0, n + i + 2*i = 3. Calculate the remainder when 52 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/3525 and 33\/1930.\nAnswer: 1360650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fddd when four letters picked without replacement from ffddd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-8246)\/651)*(-1)\/15*12\/(-45)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-112)\/(-24))\/7)\/((-2)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 + 2753*o**2.\nAnswer: 2753*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6050935140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 345807*n**2 - 172852*n**2 - 5*n**3 - 172955*n**2 + 3*n**3 - 2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 29. Let o = -2 + -12. What is the tens digit of d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 9 = 3*w - 12, 4*w - 5*m - 32 = 0. Let r(d) = -18 - 69137*d**2 + 7 - 15*d + w*d. Let u be r(-9). Round u to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u - 18. Let k be v(-3). Is 12226*((-56)\/16 + k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2448) - sqrt(2448)*-2) + (sqrt(2448) - -3*(-2 + sqrt(2448))).\nAnswer: -8 + 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**2 + 1 - 1 + 3 + 0.\nAnswer: 14*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**7\/1400 + t**6\/120 + t**5\/25 - 6*t**4\/5 + 9*t**3 + t**2 + 10*t. Let m(r) be the first derivative of p(r). Factor m(x).\nAnswer: -3*(x - 4)**2*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25085 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 6 + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2662.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7*x*x**(-1\/8)*x**(-2\/5)\/((x*x**0*x)\/x))**(-1\/3) assuming x is positive.\nAnswer: x**(-259\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22304)\/738 + 38 + -8.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 86.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 16) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 7*b**2 + 11*b + 13. Let d be s(7). Suppose a - 18 = -4*l + 75, -4*a - d = -5*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -111620, -223294, -334968, -446642?\n\"Answer: -111674*n + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 18*u**4 + 60*u**3 - 88*u**2 + 48*u.\nAnswer: 2*u*(u - 3)*(u - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 18 - (-114 - -103).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39510 divided by 439?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3772 - -4303. Calculate the least common multiple of 118 and q.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3*p**2 + 20*o**3*p - 5*o*p**3 + 25*p**3 - 411*p wrt p?\nAnswer: -2*o**3 - 30*o*p + 150*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. Let c be 0 + j - (1 - 8). Let u = -309 + 312. Sort -1, u, c.\nAnswer: -1, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 1789274046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20782 + 20779. Which is the fifth biggest value? (a) q (b) 1 (c) 0.077 (d) -2\/5 (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(-5*f**2 - f**3 + 5*f**2)*(3 + 0 - 1).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -4*l**6\/5 - 717*l**5\/20 - 753*l**4\/2 + 2144*l**3 - 768*l**2 - 363*l + 2. Determine j so that c(j) = 0.\nAnswer: -16, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4411.99999685 - -4412. What is l rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-540)\/54 - 104\/(-10). Which is the closest to 4\/5? (a) 4 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 3*c + 5. Let t be (-1)\/(-4) - 184\/(-32). Give p(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 + -867 - (19 + 0) - -37?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.2 (c) 1\/11 (d) 1 (e) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) -1\/2 (c) -4 (d) 5.6 (e) -146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let b be k(-2). Let o = -123 + 133. What is the smallest common multiple of (-11)\/b*(-4)\/1 and o?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3 minus 4909?\nAnswer: -4904.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(39\/2)\/u)\/u**(4\/19))\/(u**(-7)*u)**(-40) assuming u is positive.\nAnswer: u**(-8425\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220 + -224. Suppose 4*z - 5*d - 29 = 3*z, z - 3*d - 19 = 0. Which is the nearest to 2\/5? (a) x (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/3 + 41*g**4\/3 + 398*g**3\/3 - 482*g**2\/3 - 133*g + 147 = 0. What is g?\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 14 + 2. Is 5\/20*y - -663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*i + 14. Let o be (-2)\/4 + 10\/i. Find the third derivative of 0*b + b**2 + b**o - 3*b**4 + 0*b wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2253, -18133, -61233, -145161, -283525, -489933?\n\"Answer: -2268*q**3 - 2*q**2 + 2*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbj when three letters picked without replacement from {b: 2, j: 1, e: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 divided by 125?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37003541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25361370 and 24969.\nAnswer: 3567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l**2 - l - 2. Let p be 9\/(-36)*2*0. Let x be r(p). Which is the closest to x? (a) -3 (b) -4 (c) 1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1. Let w(j) = -12*j**2 + 97*j - 7. Let v be w(8). Let k(x) = 5*x + 0 + 5 + 2*x**2 - 4. Determine v*a(t) + k(t).\nAnswer: 2*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7}. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**4 - 4*f**2 + 4*f + 8. Let l(m) = -3*m**2 + 3*m + 7. Let q(k) = -3*g(k) + 4*l(k). What is the first derivative of q(a) wrt a?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/4 - 23355*c\/4 - 46758 = 0. What is c?\nAnswer: -8, 7793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 530486 and 13455054.\nAnswer: 148005594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/58140 and -137\/5814.\nAnswer: 58140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3. Let d(o) = -o**2 + 12. What are the prime factors of d(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1482\/2455 or 2?\nAnswer: 1482\/2455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56021 or 55939?\nAnswer: 56021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -6a?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1, 4196.\nAnswer: 0, 1, 5, 4196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1352, -1, 1, 5 in decreasing order.\nAnswer: 1352, 5, 1, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 26*j + 7. Suppose 18*k + 26 = 16*k. Let i be f(k). Suppose i*l - 7 + 0 = 0. Which is bigger: l or -1\/31?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120114 (base 13) in base 9?\nAnswer: 722833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 773.5 + -773. Let o = 0.8 + -5.8. Let s = -7 - -11. Which is the nearest to s? (a) p (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*b + 5, 28 - 9 = 3*w - 4*b. Suppose 4*i = w*x + 3335, 3*i - i - 3*x - 1667 = 0. List the prime factors of i.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s = -8*s + 121926. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*r - 17*r + 12*r)*(159 - 12*r - 159 + (-5*r + r + 2*r)*(-5 + 5 - 2) - 2 + 2 + 3*r) in the form v + n*r + t*r**2 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*i - 4*i - g + 7, 3*i = 5*g + 34 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*y - 23*y - 20*y - 19*y - 15*y - 24*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -297*k**3 + 1 - 69*k**3 + 3*k**2 + 2*k**2 - 80*k**3 - 3*k**2 to the form b*k + u*k**3 + c + d*k**2 and give u.\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4068 = -2*f, -5*h + 3*f - 1831 + 6938 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.314 - -12.31434077. Round r to 6 decimal places.\nAnswer: 0.000341","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -2. Let i = b + -1. Suppose 2*o - 4*d = o + 31, o + 2*d - 1 = i. Calculate 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 0.00040151444 rounded to 7 decimal places?\nAnswer: 0.0004015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21818419 is divided by 5141?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 531611976 divided by -21?\nAnswer: -25314856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4108 divided by 1141\nAnswer: -4108\/1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20705510 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4.4. Let m = 0.006 - -0.794. Let i = v - m. Put -3\/5, 2\/3, i in decreasing order.\nAnswer: 2\/3, i, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 3 + -103 - (1 - (-3 - -10))\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 3, n: 3, y: 6}. Give prob of picking 1 l and 3 y.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 2*b. Determine i(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1566\/432 + 3\/8. Suppose -4*l = 3*j - 14, -2*l - 14 = -4*j - 5*l. Solve v = -5, -j*v + 0 = k*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 7*q**2 - 3*q - 9. Suppose -3*b + 2 = 17, 0 = 5*h - 2*b - 50. Is r(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 5. Let s be i(2). Is 20 a factor of s\/(-18) - (0 + 359\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 18289. Let q(z) = -3*z. Give q(s(c)).\nAnswer: 6*c + 54867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 - -1002212213122?\nAnswer: 1002212212331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 5, -5, -1, -243 in ascending order.\nAnswer: -243, -46, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 98*d + 49*d - 239*d)*(3 - 2 + 1).\nAnswer: -184*d - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*c - 417, 0 = -7*c + 5*c - 2*g + 412. What is the remainder when c is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1907889 is divided by 912.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/5 - 25995*j**2 - 519936*j\/5 - 519948\/5.\nAnswer: 3*(j - 43329)*(j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.64543 micrograms in nanograms?\nAnswer: 70645.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2193 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 1571?\nAnswer: -1575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-36))\/(2\/(-12)). Suppose p - y = -2*p - 108001, -y + i = 0. What is p rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103287336 divided by 34429112.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -33767\/5705 at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m + 50 = 0. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228014 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y - 96. Let q be 3\/15 - y\/(-5). Sort 0, q, -4 in decreasing order.\nAnswer: q, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3727*x**3 + 2 - 10*x**2 + 3728*x**3 + 7*x - 2. Determine y(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.035 in 0.5, -7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 66 = 20*n. What is the lowest common multiple of n and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isi when three letters picked without replacement from {i: 5, s: 1, e: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:40 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + l**2 + l + 22. Let v = 12 + -12. Is a(v) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 97.7.\nAnswer: -9.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -12*f + 59. Let u be (1 - -1)\/(2 + -1). Suppose 2*r = -f*t + 5*t + 45, -r - u*t + 12 = 0. 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 (-4)\/12*1 + (0 - 0)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/96 and 65\/44.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44137070 a multiple of 477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/8*(-70)\/(-56)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -455.9609 + 3.5109. Round r to zero decimal places.\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 5, 10, -1063 in decreasing order.\nAnswer: 18, 10, 5, -1063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 190777687015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 2 - 65*v - 71\/6*v**3 + 57*v**2. What is the first derivative of c(n) wrt n?\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406.07 centuries to years.\nAnswer: 40607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003898 rounded to 6 decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 5 + 5)*(-2*p + 0*p + 4*p) - 38 + 17*p**2 - 36*p**2 + 41 to s + q*p + g*p**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkkp when four letters picked without replacement from ppkppppkpppk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7222582 to the power of 1\/2, to the nearest integer?\nAnswer: 2687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03723284776 to 5 dps.\nAnswer: -0.03723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1633 is divided by 784.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139087.\nAnswer: 13, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.7 - -39. What is the second biggest value in 2, h, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 69 - 218 - 4*f**2 + 77 + 14*f + 72. Let o(z) = 6*z**2. What is p(o(k))?\nAnswer: -144*k**4 + 84*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.8072 + -26516344?\nAnswer: -26516367.8072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - d + 2. Let h be w(0). Suppose 4*b + 22 = 5*b. What is the highest common divisor of b and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2. Let b(v) = 73767*v. Calculate b(m(j)).\nAnswer: 147534*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*s**2 - 11*s**3 + 20*s**2 + (0*s + 2*s + 0*s)*(-5 + 15 + 5)*(5 - 6*s**2 - 5) to j + a*s**2 + c*s + w*s**3 and give w.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 y when three letters picked without replacement from yytty.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804218 is divided by 47180.\nAnswer: 2158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1391 - 1388. Solve -a + 1 = 0, l*d + 3*a = 4*a + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j - 26. Calculate c(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12\/(-15) + -55*((-174)\/25 - -3) and 7.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 4:12 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 22.095\nAnswer: -154.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -99. Let n = 76.051 - r. Let x = n + -0.05259. Round x to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-22)\/(d*d*d*(d**(-14)*d)\/d) assuming d is positive.\nAnswer: d**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 115938013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37745 or -37743?\nAnswer: -37743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 694?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92.574 + -93. Let w = 0.074 - m. Sort -3, w, -5, 2\/3 in ascending order.\nAnswer: -5, -3, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21, -0.8, -61, 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from {h: 7, p: 1, r: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*k**4 + 87234*k**2 + 4*k + 42261 wrt k.\nAnswer: 336*k**2 + 174468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11985.\nAnswer: 3, 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrg when three letters picked without replacement from grzzrzf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -17. Let t = 39\/4 + -10. Which is the closest to 0.2? (a) t (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -573313631.96.\nAnswer: 573313629.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3500\/(-882) + (-168)\/5292.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74391379?\nAnswer: 149, 239, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4075 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21307164 times 0.8?\nAnswer: 0.170457312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1814.0000002847 + -1814. What is a rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56199, 112395, 168595, 224799?\nAnswer: 281007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 1\/2*s**2 + 0*s + 2. Let i(v) = -3*v**2. Calculate o(i(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from zmmcmmmczzmzlmmmmzlm.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 31. Let t = 270 + -266. Solve 3*o - 9 = 0, 0 = 5*w - o - p - t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 2:54 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -19 + 3. Suppose 3*c - 5*z = -w, 4*c - 3*z + 6*z = 28. Let o(d) = d**2 + 2*d**2 - c*d**2. Let h(n) = -10*n. Give o(h(g)).\nAnswer: -100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 2*o + 3. Let p be f(-2). Let u(h) = -2*h**2 + h + 1. Let y be u(-1). Let c be y\/12*12\/9. Sort 0.5, c, p in descending order.\nAnswer: p, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -482194*i**3 + 241098*i**3 - 5*i**2 - 113 + 2*i + 241095*i**3 to w*i**3 + r*i + t*i**2 + c and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a factor of 108072900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1 + 8*n**2 + 2247*n**3 + 2249*n**3 - 4497*n**3 + 10*n. Calculate m(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 15) to base 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.8189 times -9761\nAnswer: -7993.2829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 0.1. Let x = 11825\/8 + -1478. Which is the nearest to -27\/5? (a) 1\/4 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149189?\nAnswer: 193, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m - 110 = 100 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/10)\/(18\/(-120)). Suppose -i = r - 2. Let j = 16 + r. Solve -3*y + j = -8*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215 + -220. Which is the closest to -0.01? (a) h (b) 0.8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57245841049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**6\/165 - 35*j**5\/11 + 30625*j**4\/66 + 2642*j. Factor a(f).\nAnswer: 2*f**2*(f - 175)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260316874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -12*y**3 - 19*y**2 - 2*y - 224. Let a(i) = -17*i**3 - 26*i**2 - 3*i - 298. Calculate -8*a(u) + 11*x(u).\nAnswer: 4*u**3 - u**2 + 2*u - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(75)*2 + -3)**2.\nAnswer: -180*sqrt(3) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -658 - -645.24. Let s = 0.24 - n. Let o = 15.1 - s. Round o to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/((-1)\/4). Let p be (-4)\/(1*b\/2). What is the greatest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3057 is divided by 999.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 371*k = 379*k + 15, -9 = 3*o - 4*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 5, 5\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9aa46 (base 13) in base 4?\nAnswer: 1010202333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 4\/3, 1.8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a\/(a*a**(-1)))\/a)**(-14)*(a**2)**(-9\/5)*(a**(1\/2))**(4\/13)*(a*a**(-8)\/a)\/(a*a**(-6)*a) assuming a is positive.\nAnswer: a**(-2304\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -8679\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 1. Let k(g) = -10*g - 8. Let m(l) = -k(l) + 8*y(l). Let q(d) = -4*d - 29. Calculate m(q(o)).\nAnswer: -8*o - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 7 - 1 + (-1 + 2 - 2)*(-4 - 1 + 1))*(-5 + 4 + 2)*(-13*m + 12*m - 24*m).\nAnswer: -500*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + l**2 - 607*l + 163*l.\nAnswer: 4*l**2 - 444*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -317, -1352, -3105, -5582, -8789, -12732, -17417?\n\"Answer: -p**3 - 353*p**2 + 31*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -1\/60*k**5 + 0*k + 11\/24*k**4 - 5*k**2 - 4\/3*k**3 + 0. Let s be q(10). Solve -s*a + 1 = 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3289748.\nAnswer: 2, 7, 11, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26562662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8755 = -0*j - 5*j - 5*n, -5*n = 2*j - 3499. What is the remainder when 79 is divided by (2\/9)\/(-1) - j\/(-108)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 1:33 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -8 + 10 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.6. Let b = 1999\/4518 + 1\/502. Suppose 0 = -5*o - 12 + 32. What is the closest to 1 in o, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ggcggwmwg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 10. Let q(f) = -10*f - 14. Let l(s) = -2*s. Let i(x) = -2*l(x) + q(x). Let z be i(-3). Solve j = -z*j - o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -5. Suppose 3*t - 8 = q. Solve -8 = -i + t*f, -4*i + f - 7 - 5 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvv. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.5 and 171606201631.\nAnswer: 171606201634.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-187)\/55 - (-2 + -1). Let b = -0.126 - 3.874. What is the third biggest value in -6, t, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/175 and 69\/1540.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1012*k**2\/3 - 87*k + 2\/3.\nAnswer: (4*k - 1)*(253*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 74 = -g, -5*n + 3*g + g + 159 = 0. Let r = n + 8. What is the highest common factor of r and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -1\/12*t**4 + 0 - 17\/6*t**3 + 2*t - 29\/2*t**2. Let m be b(-15). Is m at most -6.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1502*t - 125. Is p(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**3\/7 - 2928*f**2\/7 - 186660*f\/7 - 860600\/7 = 0.\nAnswer: -662, -65, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -1\/5*s**5 + 11\/5*s**3 - 9\/5*s**4 + 0 + 9\/5*s**2 - 2*s = 0.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 11. Let m be w(11). Suppose b - s - 4*s = m, -6 = -3*s. Let y = -8 + b. Calculate the remainder when 7 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/8 + 23\/24. Let d = -20 - -6. Let o be ((-10)\/(-15))\/(d\/6). Which is the nearest to 2\/5? (a) -1 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from ezeeezzeezeeezeezee?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-1*(2 - 3)*-1). Suppose -5*z + 2*f = 1, 2*z - f - 5 = -2*f. Let d = 33 + -38. Which is the second biggest value? (a) z (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/20)\/(24\/20)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/21 and -67\/273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:35 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.39 - 0.01. Let t = -4 + 5. Let i(u) = u**3 - 8*u**2 - 8*u - 7. Let h be i(9). What is the closest to t in 2\/9, h, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 69, -116, -3, -5.\nAnswer: -116, -5, -3, 19, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -32 - (-19 - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:36 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w - 5. Let s(y) = 1. Let c(a) = j(a) + 5*s(a). Let x(k) = 5*k. Give c(x(d)).\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277049 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -2) + 6 + -13 + -9 + 12 - 83.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*f = -27. Let z(m) = -f - m + 27. Let w(g) = 11*g. Give z(w(p)).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 168*m + 2 + 10*m as n*m + r and give n.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 944.251 kilometers in micrometers?\nAnswer: 944251000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 6:35 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/14 + 9 - (-3)\/1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6270 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3356 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w - 32*w + 9*w + 2)*(-6 - 28*w + 13 - 5) - 38*w + 38*w - 3*w**2 to v + h*w + j*w**2 and give h.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 236*r + 4771. Give j(-21).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 86*v + 16. Let k(n) = -n**3 + 6*n**2 - 4*n - 9. Let g be k(4). Let y be q(g). Suppose -3459 - y = -5*b + d, b - 823 = 4*d. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((25\/15)\/(-5))\/(-5). Let y(f) be the first derivative of -2 + 1\/10*f**2 - n*f**3 + 1\/25*f**5 + 0*f - 1\/20*f**4. Find l, given that y(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opo when three letters picked without replacement from {d: 4, p: 1, o: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 8:19 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k**2 + 192*k - 33. What is b(26)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2477524 and 1729?\nAnswer: 32207812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -581099*b - 4. Let k(y) = -9*y. Give k(n(a)).\nAnswer: 5229891*a + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 4 + 4\/132. Let z = c + -26\/11. Put 3, z, 4 in ascending order.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 38 = 3*z. Suppose 4*l - 96 - z = 0. Calculate the greatest common factor of 252 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 218 - 1551*f - 5182*f - 19741*f.\nAnswer: -26474*f - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -225, -428, -713, -1080?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75160 is divided by 67.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 83*p**2 - 1. Let s be k(1). Let y = s - 46. Suppose 0 = -y*v + 40*v - 136. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003 is divided by 992.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) 5 (c) 55798\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6471, -6470, -6471, -6474?\n\"Answer: -h**2 + 4*h - 6474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/11 + 3002\/66. Let m = 602 - 559. Let h = m - a. What is the common denominator of h and 13\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1041404040 - -202?\nAnswer: -1041403434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13969 + -13980. Put 0, 7, h, -1 in ascending order.\nAnswer: h, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334 + 5*l**3 + 309 + 317 + 317 + 300 - 909.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 - 5*l**5 + 0*l**5 + (2*l + 4*l - 5*l)*(-71 - 67*l**4 + 71).\nAnswer: -69*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 + 1. Let x(b) be the second derivative of b**5\/4 - b**2\/2 + 2*b. Suppose -47*j + 50*j - 72 = 0. Let v = j + -29. Determine v*x(n) - 6*f(n).\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 456704382 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295 = -103*u - 205*u - 629 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5506 - 2621. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15618 + 15621. Which is the nearest to -0.41? (a) 0 (b) w (c) 3\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1652898 divided by -6\nAnswer: -275483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/(117\/72)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-30\/11)\/q)*q\/(q*q\/(q\/q**(1\/11))))\/(q**(-2\/13)*q)**(-39))**(-6) assuming q is positive.\nAnswer: q**(-2484\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(13)*2 + -1*sqrt(1872) + sqrt(1872) + (-5*sqrt(130)*1)\/sqrt(10).\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*1)\/sqrt(10))\/sqrt(3) + 1 + (sqrt(15)\/sqrt(3))**2 + 3 + 4.\nAnswer: sqrt(5) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 115545 divided by 38515\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2516 + 2563.19. What is b rounded to 0 dps?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 - -70. What is the second smallest value in -1\/2, 0.1, a, -6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/((p*p\/(p*p**(2\/27)*p))\/p))\/p)\/p*p**(6\/7)*(p\/p**(-39))\/p*p**33 assuming p is positive.\nAnswer: p**(13973\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 (base 13) in base 11?\nAnswer: 58a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 5*y**2 - 4 + 4*y - 2*y**2)*((-3*y + y + 3*y)*(3*y**2 - 2*y**2 - 4*y**2) - y**3 + 0*y**3 - y**3).\nAnswer: 10*y**5 - 20*y**4 + 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + s**2 + s + 4. Let g be o(0). Let a(x) = -x**3 + 5*x**2 - x - 1. Give a(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 11. Suppose -3172 = -f*w + 3*w. Suppose -157 + w = 4*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 10\/(-8))\/((-23)\/(-92)). Suppose -24 = -4*u - 4*r, 2*r = -5*u + 27 - 0. Sort u, m, 2 in descending order.\nAnswer: u, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - o. Let b(x) = -47*x**2 - 22*x. Let q(z) = -b(z) - 3*v(z). What is the second derivative of q(h) wrt h?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 98160*h - 602211600.\nAnswer: -4*(h + 12270)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*m + 2*y, 4*y - 9 = -m + 2*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 7. Let g = -3.96 + -0.04. Let z = g + 3.7. Which is the third biggest value? (a) z (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(sqrt(363)*1 + sqrt(363))*-2)**2.\nAnswer: 145200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j. Let f(t) be the second derivative of -t**4\/12 - 8*t**3\/3 + 72*t. What is f(g(m))?\nAnswer: -36*m**2 + 96*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 10 = n. Let b(u) = u**2 + 13*u + 15. Let k be b(-12). Suppose n = a + h + 3, 0 = 2*a + 3*h - k. Let r(m) = 3*m + 9. What is r(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 63*v**2 - 61*v - 175. Determine y(64).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 f when four letters picked without replacement from {v: 2, f: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1909 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.044+13150662.03\nAnswer: 13150661.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317 + 318 = 2*c - 3*c + 4*p, 0 = -3*c + 4*p + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**3 + m**2 + 407*m + 36. What is h(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 286 and 5 + (-31)\/2 - (-15)\/10 - -31?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-21) + 34\/6. Suppose -42 = 2*w - c*w. Let n be 2\/w - (-90)\/7. Calculate the greatest common divisor of n and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/45 and -2*1156\/960 - 2\/3.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 2\/4 + (-58)\/28. Let l = -47696\/3765 - -2\/1255. Let k = 12 + l. Which is the smallest value? (a) r (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2 + 20*b**3 + 10 - 4*b**4 - 4*b**5 + 6 + 3*b**2 + 2*b - 34*b = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108860642 a multiple of 5057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*k = 6*k - 8, 0 = -2*s + 4*k - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115630, -230905, -346180, -461455, -576730?\nAnswer: -692005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17) + 0 - (sqrt(1088) + (-1*sqrt(1088) - sqrt(1088)) + sqrt(1088) + sqrt(1088))) + (sqrt(102)\/(sqrt(216)*-1))**2.\nAnswer: -7*sqrt(17) + 89\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1544, -1537, -1530, -1523?\n\"Answer: 7*x - 1551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*r - l - 842, -5*l - 10 = 0. Suppose -3*v + b + r = v, -3*b = -4*v + 272. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*j - 16*j + 4*h = 29*j + 22, -2*h = -2*j - 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/(-18) - (-13 - (-1276)\/99). Sort -40, c, 7, 1.\nAnswer: -40, 1, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by (-6)\/10 + (-494)\/(-65) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0527794 rounded to three dps?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 79 = -3*s - 65, 4*s - 57 = -3*v. Let z(h) = -3*h + 74. Determine z(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.21 + 3.999. Let c = n + 0.111. Let y = 0.3 + 0.2. What is the closest to c in -4, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.5 + -281.5. Let a = j + 310.22. What is the third smallest value in 3\/4, -0.4, -2\/15, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 5*i**3 - 2*i**3)*(-2 + 4 - 3) + (-161*i - 286 + 286)*(-2*i**2 + i - i).\nAnswer: 320*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-906)*(-7 - -4). Let x = -469\/604 - j. Which is the nearest to 0.1? (a) x (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 191, 281, 371?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 47*y + 183. Give h(22).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 589876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2770 + 2495. Which is bigger: q or -276?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -777 - -782. Sort 1\/4, g, 6.4 in decreasing order.\nAnswer: 6.4, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-126)\/24)\/(-21)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*(-135 + (0 - 7))?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3097*u*z - 76*u + 142*z - 2069 wrt u?\nAnswer: 3097*z - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10))\/(-1)*(-2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 36*p**2 + 207*p - 81. Calculate the smallest common multiple of 2 and v(-28).\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*x, -12*f + 11*f = 15*x - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15050, -47, 3.92 in ascending order.\nAnswer: -47, 3.92, 15050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55650418?\nAnswer: 2, 17, 96281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 + 0.45. Let l = x - 0.04. Let n = 0 + -0.4. Which is the biggest value? (a) n (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-13 + 9) - 13 - 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.44 (b) 0.4 (c) -4 (d) 24 (e) -0.2 (f) 1 (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2. Let q be w(1). Let d = 6 + q. Is 23 - 1*(2 - d) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 5*q - 1. Suppose 0 = w - 4*g - 8, -g + 3 = w - 0. Determine k(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137327355 rounded to the nearest 10000?\nAnswer: 137330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 3*g + 25 = 0, 157*g = 5*s + 162*g + 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/713 and -11\/37858.\nAnswer: 1173598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2641.4351 to the nearest 10.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 108, 102, 94?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 6 (c) -8 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7729 = -3*p - t + 2573, 0 = 2*t - 6. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31740 = -27*z - 3*z. What is the common denominator of z\/184*(-8)\/154 and -167\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 * -0.6\nAnswer: 55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-20)\/18)*2. Let y = 1 + -0.5. Let q = -2.1 + 2. Which is the nearest to q? (a) -2\/7 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**5\/3 + 13*t**4\/6 + 13*t**3\/3 - 8*t**2\/3 = 0.\nAnswer: -2, 0, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_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: Let x(t) = -24*t**3 - 9*t**2 - 27*t - 19. What is the hundreds digit of x(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 30, 0.4, 1, -1\/4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1719018990 take away -0.2?\nAnswer: -1719018989.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from fbffhshffkufubb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46030 + 14?\nAnswer: 46044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 5:16 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 718 - 204778.2306.\nAnswer: -204060.2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b3dc + -a?\nAnswer: b3d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36.6 - -36. Let u = x + -6.2. Let y = 8.26 + u. What is y rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -2. Let w = 5 - -3. What is the least common multiple of w and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 145 and -6508.\nAnswer: -6363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = v + 4, 5*v + 88 = 3*k + 68 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -1, 19, 61, 131, 235, 379?\n\"Answer: n**3 + 2*n**2 - 9*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 5 - 10\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35324444 + 150?\nAnswer: 35325034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67871098293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -73 and -2.33?\nAnswer: 70.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -733 divided by 1?\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.46. Let m = v + -0.03997. Round m to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-2 + 10)\/(-2). Let s = -1.1 + 4. Let i = 0.1 + s. Are q and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153470, -304091, -454712, -605333, -755954, -906575?\nAnswer: -1057196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431574 is divided by 14794?\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/138)\/(2\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-39)\/(-78)*34\/4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 260, 1980, 6642, 15716, 30672, 52980, 84110?\n\"Answer: 245*r**3 + r**2 + 2*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**3 + 756*h**2 + 57420*h + 1161600 = 0?\nAnswer: -110, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 72*f + 84*f.\nAnswer: 156*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.5. Sort 5, q, -2\/5 in ascending order.\nAnswer: -2\/5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {j: 1, u: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/1249, -0.4, -90, 0, 7?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99867084 to the nearest integer?\nAnswer: 9993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/3 - 40*n\/3 - 38\/3 = 0. What is n?\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 19*q**2 - 2*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 1. Let j be x(3). Let g be 4\/j*(-2)\/(-1). Let t = -0.073 - 0.027. Which is the closest to g? (a) -5 (b) t (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*o - 41. Find the third derivative of -21*f**2 - 2*f**5 + o*f**2 - 2*f**5 wrt f.\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1842\/(-4)*60\/237. Let z = c - -1645081\/14220. Find the common denominator of z and -53\/6.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 55 = -49 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 1 - 1. Suppose -16 = -3*h + 2. Let y(r) = h*r - r + 0*r - r. Give y(l(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956.9388 decades to millennia.\nAnswer: 9.569388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 less than 0.0053446?\nAnswer: -14.9946554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502785074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -135 - 121?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 137*h**2 + 887*h - 37. Determine m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 - 287*u - 172. Let j be q(58). Let r(n) = -n + 5. Suppose 0 = -6*s + 37 + 17. Let l(c) = 5*c - 20. Calculate j*l(a) + s*r(a).\nAnswer: a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 7. Let r(i) = -2*i**2 + i - 14. Let t(l) = -5*a(l) + 2*r(l). Let v be t(-3). Solve 0 = -4*u - 2 + v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 m when four letters picked without replacement from mymmmmmymymymmmy?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 424 + -1274\/3. What is the second biggest value in g, 0.06, -4\/7, 0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142\/(-2840) - 1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 + 3*c + 1. Let m be s(-2). Suppose 3*o - m*o + 60 = 0. Let x = -10 + o. Solve 0*b = x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106315 is divided by 119.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llljzjj. Give prob of picking 3 z and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4))\/((-25)\/20)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 44*s - 38*s + 3*s**2.\nAnswer: 4*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 24996*x**2 + 325504*x - 751440.\nAnswer: -4*(x - 10)*(x - 3)*(x + 6262)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.866129 rounded to 2 dps?\nAnswer: 98.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4441, 0.3, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21668 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 38*h**2 + 18*h**2 + 18*h**2 - 20 in the form z + u*h + o*h**2 and give o.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 3*g**2 + 4*g - 8. Suppose i + i = 0. Suppose 0 = 5*u - i*u - 20. Calculate the lowest common multiple of a(3) and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -171*i + i**2 - 175*i + 337*i - 144 as y*i**2 + g + v*i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -5 (c) -0.02 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 8*c - 1. Let u be g(7). What is the highest common factor of u and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/2)\/((-4)\/10). Let x(h) = -h**2 - 6*h + 2. Let j be x(t). Suppose j = k - 15. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 greater than -65695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7799*-9.\nAnswer: 70191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132133 is divided by 6001?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52915\/3 + 17640. Factor -d - 1\/2*b + 1\/6*b**2.\nAnswer: (b - 5)*(b + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 106b + 69?\nAnswer: 10d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 15815\nAnswer: -2\/15815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2684*z**2 - 249*z**2 - 7091*z**2.\nAnswer: -10024*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 3 - 4 + 6 - 6. Suppose -2*j = 4 - 2. Let k be (-1)\/((j - -3)\/10). What is c(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -5 (c) -0.8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-12) + 360\/160\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134333 plus 2704?\nAnswer: 137037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - 11. Let n be (-2)\/4 - m\/(-40). What are the prime factors of (-2)\/(n + -1) - 152\/(-4)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35032608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 22 = h + 5*z, -2*z - 4 = 0. Suppose 0*p - 3*p = -h, 0 = -5*q + 5*p + 595. Let t be q\/238 + (-2)\/4. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 1\/20*u**5 + 3*u**2 + 5\/6*u**3 + 0*u - 7\/24*u**4 + 0 + 1\/30*u**6. Is 8 a factor of t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5774*v - 1289. Is t(-23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3459.84 + -3460. What is the fourth biggest value in 0.13, n, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 245415*p**5 + 2*p**2 + p + 671483?\nAnswer: 4908300*p**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, -160, 2, -6 in decreasing order.\nAnswer: 4, 2, 1, -4, -6, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 7*n**3\/2 + 13*n**2 + 3*n. Let c(m) = -4*m - 5. Calculate 11*c(x) + 2*y(x).\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 16 (b) -0.32 (c) -0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-65)\/(-16) + -2 + -1 and -3\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*f**2*i**5 + 15*f**2*i**3 + 32*f**2*i - 44*i wrt i.\nAnswer: 1020*f**2*i**3 + 90*f**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 8. Let x(t) = -5*t - 41. Let q(g) = -11*m(g) - 2*x(g). Let f(i) = 2*i. What is q(f(n))?\nAnswer: -2*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 11*n + 55 = 0, 4*x + 192 = 4*n + 148 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jso when three letters picked without replacement from {o: 1, j: 3, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*l + 154*l = -33*l - 214*l - 610 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6447 - -6446.93. Put c, -0.6, 0.1, 0, 1\/3 in descending order.\nAnswer: 1\/3, 0.1, 0, c, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 57*t + 43. Determine i(28).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415548663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245386519?\nAnswer: 7, 331, 105907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4924*j - 12549*j + 171446 + 212960 = 0 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108852.48 rounded to the nearest 100?\nAnswer: 108900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 8*z + 90. Suppose 4 + 1 = 5*p. Let w = p - -51. Calculate the remainder when w is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (2 - 1) - -20. Suppose 3*l - s = -b, 5*l + 3*s = -2*s - 20. Let x(z) = z**2 + 5*z + 2. What are the prime factors of x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5\/(-10)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*x = -x. Suppose x = -4*w + 15 - 31. Let y = -6\/221 - 3518\/663. Is y equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 + 56. Let x = -34 - n. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -105 - (0 - ((-27 - -20) + -9))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(140)\/(sqrt(10)\/sqrt(2)) - sqrt(168)\/sqrt(24))\/(-3*(sqrt(8)*-2)\/sqrt(2)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-10)*(1 - 1). Suppose 38 = -m*k + k. Suppose 2*a - k = a. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 5*t**2 - 2*t. Let g = 16 - 12. Suppose -u = g*w - 25, -w + 42 = 5*u + 12. Calculate v(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 equal to -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*d - 25. Suppose d = 5*o - u - 0*u, -u = 4. Let w(y) = y**3 - 5*y**2 + 3. Let s be w(5). Solve o*x - x - s = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 103, 66, 27, -8, -33, -42, -29, 12?\n\"Answer: d**3 - 7*d**2 - 23*d + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 2323628?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + h**3 - 4*h**3)*(0*h**2 + 6*h**2 - 4*h**2) + ((-1 - 3 + 5)*(2 - 1 - 2) + 3 - 5 + 4)*(-h**5 - 2*h**5 + h**5).\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -51*m - 393. Let t be x(-43). Calculate the highest common divisor of t and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Suppose c*w + w - 12 = 0. Solve -5*t + 8 = -w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f + 63 = 38*f. Suppose -q + 2759 = -2*i, -3*q + 10*i - f*i = -8274. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -7, -23, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 8. Let n(q) = q + 6. Let k(d) = 2*d + 17. Let r(i) = -2*k(i) + 7*n(i). Let w(o) = 5*l(o) + 4*r(o). Find the first derivative of w(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*s**3 - 2*s - 686*s**3 + 2*s + 835*s**3 - 1828*s**3.\nAnswer: -2292*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c. Let t = -4.9 - -0.9. Let r = 3.8 + t. What is the closest to 0.1 in r, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364 + 244 = -40*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = -22*i + 321. Calculate the greatest common divisor of i and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3796306622.0000111 + -3796306373. Let r = i - 249. Round r to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 30 = m, -2*m + 60 = -6*v + 3*v. Suppose 23*u + 4*n - 30 = 20*u, -m = -3*u + 4*n. What is the lowest common multiple of 54 and u?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (-2*sqrt(684))**2*-6) + -3.\nAnswer: 6*sqrt(19) + 16413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1200414 + 1214?\nAnswer: 1202133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, -23, -82, -167?\n\"Answer: -13*t**2 + 6*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1817 + 2851. Let s = a - 263. What are the prime factors of s?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = 3. Let z be (0\/(-3))\/((-6)\/x). Suppose 0 = -s - z*s + 36. What is the remainder when s is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -12. Is 3 + (-129)\/h*-4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9342 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.4, -34, 197?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 33.7. Let r = o - 4.2. Which is the nearest to r? (a) -5 (b) 3\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-1\/13)))**(-20)\/((h**(-2\/15)\/h)\/(h*(h**2\/h)\/h*h)) assuming h is positive.\nAnswer: h**(911\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 15*y**2 + 17*y - 7. Let i be f(14). Let d = i + -34. Let j be ((-250000)\/(-3))\/(d\/36). What is j rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -87, 5, -5, -4, -390, -1 in decreasing order.\nAnswer: 5, -1, -3, -4, -5, -87, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*x = -21, 6*k - 3*k + 19 = 4*x. Let s = k + 14. Suppose 0 = 38*i - 42*i + 16. Solve i*r = 7 + s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2338 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4125 a factor of 221685750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420*o**2 - 80*o + 276*o**2 - 899*o**2 + 35*o + 47*o - 2.\nAnswer: -1043*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*s = 769*s - 207*s - 253*s + 8296 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-24))\/(33\/(-418))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-16))\/(-2*(-6)\/(-4))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(210)\/(-4*(sqrt(6) - (sqrt(24) + sqrt(6)))))\/((sqrt(63)\/(sqrt(36)\/sqrt(4)) - sqrt(112)*3)*4).\nAnswer: -sqrt(5)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -23*a - 434. Determine l(-26).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36538, -146064, -328584, -584098?\n\"Answer: -36497*l**2 - 35*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268863 is divided by 17924?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/3 - (-21)\/(-63)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 1472.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j + 24. Let f(y) = 6*y - 20. Let l(s) = 6*f(s) + 5*m(s). Let t(q) = -115*q**2. Give t(l(g)).\nAnswer: -1840*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 18 + 21)*(3 + 3*z**2 - 3) - 4*z**2 + 2*z**2 - 5*z**2 - 12*z**2.\nAnswer: 41*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 5\/3, 21\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 - 7*l**4 - 5*l**4 + (-2*l**2 + 3*l**2 + 0*l**2)*(18*l**2 + 127 - 127) + 2*l**4 + 3*l**4 - 6*l**4 - 2*l**4 - l**4 + 5*l**4.\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**3 - c**2 + 6*c + 3. Let u(i) = 42 - 30 + 11*i - 2*i**2 - 7 + 8*i**3. What is -6*u(k) + 11*y(k)?\nAnswer: -4*k**3 + k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 10*f - 2976 + 3071 = 0, -2*l - 3*f = -11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:59 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 5*g**2 + 8*g + 3. Let a(z) = z**3 + 4*z**2 - 7*z - 2. Let u(i) = 7*a(i) + 6*w(i). Let t = 21 + -18. Calculate u(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 15*o**2. Let w(s) = -947222*s. What is w(d(u))?\nAnswer: -14208330*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5330605349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) 297 (c) 102 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87\/620 - -17\/155. What is the second smallest value in 2\/7, r, -1\/4, -0.3, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -226930 + 0.1.\nAnswer: -226929.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -0.4, 6.8, 0.2, 0.3, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12152063 and 4881.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 50 = -2*y, -4*a = -y - 0*y + 30. Let u = y + -58. What is the units digit of (3\/4)\/((-4)\/u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*q**3 - 7*q**4 + 15*q**3)*(2 + 0 - 6) - 3*q**4 - 4*q**4 + q**4 to the form j*q**3 + z*q + k + c*q**2 + b*q**4 and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-9 + 6 + -2 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1220 + -361. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*y - 82 - 119 = 207 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 4*h**6\/3 - 8*h**3\/3 + 3. What is the third derivative of r(n) wrt n?\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151056.\nAnswer: 2, 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) -2\/723 (c) 0.14 (d) -2\/9 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612)*3 - sqrt(612))*-3)**2 + ((2*sqrt(374))\/sqrt(11) - sqrt(34))\/sqrt(2).\nAnswer: sqrt(17) + 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -49\/10 (b) 5 (c) -0.1 (d) -10 (e) 16 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/12)\/((-2 - 1)\/(-30)). Suppose 0 = -7*g + 633 + f. Is g > 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (sqrt(1539) + sqrt(1539) + -3*sqrt(1539)*6)**2).\nAnswer: -1181946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 4*f + 7. Suppose -20 = 4*m - 0. Let s be u(m). Suppose 6 = 3*b + 4*y, 3 = 5*b + s*y - 7. Solve -w + 2 = -b*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + 36*a**2 + 9*a - 159. Determine t(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*j - 56*j - j**2 + 112*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 2096*b + 177*b - 2*b**2 + b**2 in the form i + d*b**2 + q*b and give q.\nAnswer: -1919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35255153, -70510304, -105765455, -141020606, -176275757, -211530908?\nAnswer: -246786059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4*q - 114562 = -114562, -20 = 5*r - 5*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 9. Let h(j) = j**3 + 2*j**2 + j + 1. Let q be h(-2). Let v = w + q. Solve 14 = 5*o + 2*k, -o - v*o = -5*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-40)*(-16)\/40\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 10 = 2*p. Let q = -112 + 151. Find t such that q*t**3 - p*t**5 - 34*t**3 + 11*t**3 - 16*t**4 - 42*t**5 = 0.\nAnswer: -2\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*(1660\/(-120))\/(-83)*(-8)\/(-7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from ppppmffxttpxpppfgxt?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2999604 and 119\/4499406.\nAnswer: 8998812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.5, -0.09148, -1?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-2\/57))\/u)\/u)\/u**(4\/15))\/(u**(-3\/13)\/u)**(1\/9) assuming u is positive.\nAnswer: u**(-12169\/11115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-8)*a)\/a*(a**(1\/7)*a)\/a*a*a**(-7)*a**(2\/3))\/((a*a*a**3)\/a**(5\/8))**(-40) assuming a is positive.\nAnswer: a**(3398\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.811515l to millilitres.\nAnswer: 6811.515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -6. Suppose 0 = g*m - 63 - 107. Solve m = -4*t + 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0 + 11*p**2 + 0*p**3 + 0*p + 1\/15*p**4 - 1\/75*p**5 - 1\/150*p**6. Let h(v) = 0. Calculate v.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j = -44*j + 88. Suppose 3*g = g + 3*w + j, 0 = -w. Solve t - 2*o = 7, -1 = g*t + 4*o + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/812 and 69\/2.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13561 (base 8) to base 6\nAnswer: 43441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 42 = 4*j. Suppose 3 = 2*m + 3*l - j, 33 = 4*m + l. What is the greatest common factor of 108 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-323)\/(-51)*(-30)\/70 and 28\/31399?\nAnswer: 219793","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 0. Suppose 114*z - 110*z = 0. Solve z = 5*l + g + 17, 5*g - q = 3*l - 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jojo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28565 - 11548. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 10:58 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 - 5*t**2 + 5*t - 5. Let h be (-4)\/14 + 60\/14. What is the remainder when f(h) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4*g + 5*g + (2 - 2 + 2*g)*(2 - 2 + 2))*(649 + 634 - 81).\nAnswer: 7212*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2690828266.\nAnswer: 2, 7, 2557, 75167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 6) in base 9?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 40831, 161472, 362541, 644038, 1005963?\n\"Answer: 40214*w**2 - w + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*f + f + 16, -8 = g + 3*f. Let u = g + -3. Is u\/1*-3 - -70 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 15*w. Let g(j) = -96 + 243 - 995*j - 95 - 52. Give g(k(o)).\nAnswer: -14925*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -31*u - 715. What is the tens digit of x(-39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*d + 3*d + 5*d)*(4*d + 57*d**2 + 7*d - 10*d - 1) to the form t + x*d**3 + n*d + h*d**2 and give x.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -351\/5 - -70. Let r = 30.13 - 33.13. What is the third smallest value in -21, w, r, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -4*l**5\/5 - 7*l**3\/3 - 41*l**2\/2 + 56. What is the second derivative of i(u) wrt u?\nAnswer: -48*u**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2285 and 108309?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -664*k*o**5 - k*o - 103652*o**5 - 227*o**2 - 30475 wrt o?\nAnswer: -39840*k*o**2 - 6219120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - t**2 + 26*t**3 + 30*t**3.\nAnswer: 56*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 (base 11) in base 3?\nAnswer: -1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -98 - 3?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 4*w**3\/3 + 5*w**2\/2 - 6*w - 31. Let a be z(25). Suppose -2703 - a = -6*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687858.\nAnswer: 2, 3, 114643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15422 + 15421.9753. What is c rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-9 - -80 - 21 - (7 - 0))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((-2)\/2600). Let k = -6457\/10 + a. Let q = -15194 - -303953\/20. What is the common denominator of k and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -936 or -935?\nAnswer: -935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*f - 6*f + 306. What is the nearest to 0 in f, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6442859?\nAnswer: 59, 109201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by (18\/(-8))\/(33\/88) - -44.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = 5*i - 18*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 572064.7nm to meters.\nAnswer: 0.0005720647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 0)\/(1 + -2). Suppose 4*l + 5 = -o. Let f be -4 - l*1 - -5. Let x(m) = m**3 - 4*m**2 + 4*m - 3. Determine x(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 510956, 510961, 510968, 510977, 510988?\nAnswer: 511001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192c (base 14) to base 13.\nAnswer: 20bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(-16)\/(-264)*3\/5. What is the closest to 0.19 in h, -0.2, 8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*b = -294*b + 35*b - 6267 - 24921 for b.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.48 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/429, 0.2, 2?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**3 - 4*l**3 + 3*l**3 + (-1 + 1 - l)*(1 - 1 - 3*l**2).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*a - 13, -5*j - 22 - 13 = 5*a. Let d(q) = q**3 + 9*q**2 - 3*q - 1. Does 10 divide d(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156 - -155) + (22 + 1 - (-7 - -9)) + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 572040 divided by -6\nAnswer: -95340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 44*u + 486. Calculate r(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(4*39\/(-52))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82415479, -164830964, -247246449, -329661934, -412077419?\nAnswer: -494492904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by -14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + k + 3. Let r be g(0). Suppose 2*q - r = q. Suppose 35 = q*w + 5. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 3. Let g(h) = -2*h - 3 + 5 - 6. Let v(u) = -u**3 - 16*u**2 - 16*u - 11. Let f be v(-15). Determine f*y(b) + 3*g(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + f. Let g(s) = -5*s**2 + 5*s - 1. Calculate 11*a(i) - 2*g(i).\nAnswer: -i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 + 153. Suppose 2*w - 20 - j = 0. Calculate the remainder when w is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10748340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 399\/(-165) - (-2)\/(-11) and 65\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65.6 + -64.6. Let q be ((-6)\/147)\/(-2 - -4). Let t = 0.06 + 0.94. Which is the closest to t? (a) f (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 26*q**2 + 4*q - 8. Let s be c(-4). Let j be 3 + 0 - s\/136. Suppose -5*a = -t - 10, -a - 2*t + 9 = -4. Put j, -5, a in descending order.\nAnswer: a, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -v. Let u be 0 - (v + -1 + 6). Suppose -5*r - 13*r = -2*r + 128. Is u >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: -26 times -50817\nAnswer: 1321242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 3*s + s)*(-2*s**2 - 2*s**2 + s**2) to the form f*s**2 + v*s**3 + a + r*s and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 97637, 195025, 292413?\n\"Answer: 97388*z + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 1669430*i - 139349826245.\nAnswer: -5*(i + 166943)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 4*d**2 - 165*d.\nAnswer: d*(d - 11)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -40. Let u = -10 + p. What is the highest common factor of 26 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*l + 68*l + 92 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 368 and 1?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 0*i**2 + 2*i**2 + 2*i**2 - 10*i**2 + 26 in the form o*i + j*i**2 + s and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (189 - 59 - 29) + -64?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2884 is divided by 224?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - r + 8 = 0, 3*r - 4 = -2*x + 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8542 divided by -8542\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5, 5*z = 2*r + 22 - 91. Calculate the common denominator of ((-12)\/r)\/(1\/(-15)) and -17\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Put h, -0.1, 2 in descending order.\nAnswer: h, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2038*h**4 - 43560*h**3 + 3*h**2 - 532797329*h?\nAnswer: -24456*h**2 - 261360*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4432 - 1206. List the prime factors of x.\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -2 (c) -4 (d) 1609.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7245)\/12726*(-2)\/(-10) and 1 - (-1)\/(8\/(-122))?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84368191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k + 4. Let t(j) = -2*j - 9 + 8*j + 5*j - 2*j. Suppose y = -2*s - 4, -s = -y + 6*y - 7. Give s*t(z) - 7*d(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162 - 272. What is the common denominator of (406\/q - -4)\/((-2)\/5) and -31\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2 - 4*n**2 + 18 + n - 18*n. Let d be w(16). Let b = d + 4. Let q(c) = c**3 - 5*c**2 - 6*c + 3. What is q(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 7. Let p(a) = a + 8. Let t(v) = 4*v + 24. Let g(o) = 7*p(o) - 2*t(o). What is 5*g(s) - 6*h(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 less than or equal to -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4\/5 + 14*z**3\/5 + 62*z**2\/5 - 494*z\/5 + 84 = 0.\nAnswer: -6, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -78*p**2 - 84*p**2 - 282*p**2 - 88*p**2. Let o(i) = -8*i. What is x(o(d))?\nAnswer: -34048*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.985 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/5 + 9616*a**4\/5 + 261206*a**3\/5 - 112172*a**2 = 0. Calculate a.\nAnswer: -29, 0, 2, 4835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -304 - 138) + -114.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + 30*r**2 - 50*r - 253. What is the tens digit of m(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.944017 years?\nAnswer: 95.328204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24755354?\nAnswer: 2, 13, 952129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80*i**2*u + 2*i**2 - i*u - 522*i + 7*u + 1809 wrt i.\nAnswer: 160*i*u + 4*i - u - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1550\/25 + -39 + 36\/(-2) + 129.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 17 = 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 (base 8) in base 5?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2c76d2 (base 15) to base 16\nAnswer: 20d3fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/15)\/(7\/(-4095)). Calculate the highest common factor of i and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 54 + 6. Solve 4*l + n = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h = -28*h + 48. Solve -9*p - h - 15 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-9)*(1 - -2). Let w = 11 - c. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -15*a - 9. Suppose -3*t + 38 = -11*v + 12*v, v + 94 = 9*t. Determine j(t).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -4 (b) -10 (c) -8 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*v + 5859. Round v to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:58 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 354 and 11?\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1235666, 1235977, 1236288, 1236599, 1236910?\n\"Answer: 311*r + 1235355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p - p**2 - 3*p - 4*p**2. Let n be u(1). Is 2 a factor of n\/6 + 14\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 13.1. Let p = g + -10.9. Let w be (-2)\/(-9) + 26\/(-36). Which is the closest to w? (a) 3 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117154972 to the nearest integer?\nAnswer: 10824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x**2 - 8*x**2 + 11528829*x**3 + 11528837*x**3 - 23057673*x**3.\nAnswer: -7*x**3 + 15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179.1 - 179.1. Let l = -2\/21 + -4\/21. What is the third smallest value in t, -2\/9, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrnr when four letters picked without replacement from {n: 9, r: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, 10, 39, 90, 169, 282?\n\"Answer: g**3 + 2*g**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, 36, 69, 102, 135?\n\"Answer: 33*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30346*h - 66 = 30349*h for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*l - 31199994, x = -2*x - 5*l + 93600015. Suppose v + 2*v = -x. What is v rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, j: 7}. What is prob of sequence jgj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1080, 1077, 1074, 1071, 1068, 1065?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -11 in ascending order.\nAnswer: -11, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 31 + 4*v - 47 - 35 + 95. Suppose 3 = a + 15. What is the tens digit of k(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m - 152. Give k(19).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 4*y + 3. Let z be r(-3). What is the tens digit of -10 + 14 + 60 + z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - n**3 - 2*n**2 + 2*n**3 + 5*n + 2. Let v be k(-2). Is 11 a factor of (v\/4)\/(6\/(-32))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 + -217. Let t be 2\/4*2 + (-24 - z). Suppose -t*c + 71*c + 6 = 0. Solve -3*m + c = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t + 11*t = 41123. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 11:02 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5 - 174*v**4 - 3588*v**3 - 9740*v**2 - 9402*v - 3078 = 0.\nAnswer: -57, -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/35 + 46\/(-20))*-2. Suppose n*i + 27 = 87. Suppose -2*z + 40 = i. What is the greatest common divisor of 56 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 e when four letters picked without replacement from egeeweewewneeeegwee.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6398 + 6400. Let d(g) be the second derivative of -w*g**3 + 14*g + 0 + 6*g**2 + 1\/4*g**4. Factor d(p).\nAnswer: 3*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53181851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345162168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*k**5 - k**3 - 861*k wrt k.\nAnswer: 4080*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(170)*5*-6)\/(sqrt(1440) + -5*-1*sqrt(1440))*5.\nAnswer: 25*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002335626 to the power of 1\/3, to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1059017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 + 4 = 0. Let u be 71 - (1 - (o - 0)). Round u to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/(-324)*48\/20.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1237*f**2 - 608*f**2 - 648*f**2.\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115262 + 57591 + 57671 + 281*n**3.\nAnswer: 281*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.892 + 0.108. Which is the third smallest value? (a) -1 (b) g (c) 1\/9 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o + 0*o - 5*o - 4*o to the form n*o + u and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:50 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*q - 3*h, 0 = -3*h + 4 + 5. Let a = 0.2 - 0.1. Let v = a - 0.1. Sort -4, q, v in descending order.\nAnswer: v, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**8\/336 - 43*f**6\/30 - f**4 - f**3\/2 + 4*f**2 + 122. Find the second derivative of o(v) wrt v.\nAnswer: 20*v**3 - 1032*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-440)*-8)\/(9*(-14)\/28035)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/15)\/(60\/(-495))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 (base 10) in base 4?\nAnswer: 22122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3 + 95*y**2 + 205*y + 105 = 0. What is y?\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -22*w - 190. Let a be p(-20). Suppose 0 = -5*g - 0*g + 25. Suppose -g*r = 6*y - y - a, -r = -y + 42. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 104*v**2 + 1294*v - 1400.\nAnswer: 2*(v - 1)*(v + 25)*(v + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 + 128.9. Let l = 4.02 - 4. Let x = l - 5.02. Which is the closest to s? (a) -3\/4 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**3 + g**3 - 2*g**3 + (3*g - 4*g + 4*g)*(0*g**2 + 3*g**2 - 5*g**2)*(-1 + 0 + 2) - 4*g**3 + 3*g**3 - g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1.9, 0.01, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30439.89mm to nanometers.\nAnswer: 30439890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 8, s: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 - 40*x - 35 = 0. What is x?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000471 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 198353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**2\/2 - 8*l - 4. What is n(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*m = -4*n + 288*m + 33009, -3*m + 3 = 0. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(-2)*(-4 + (-119)\/(-28)) + -3. Let i(b) = b**3 - 5*b**2 - b + 18. Determine i(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/46122 and -79\/18?\nAnswer: 138366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 308832.4ml?\nAnswer: 308.8324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 - 2*g**3 - g**3 + 0*g**2 - 2*g**3 + 0*g**2 + 0*g**3 + 2*g**3 - g**3 + (-3*g - 2*g + 3*g)*(g**2 - 3*g**2 + 3*g**2) - g**3 + 1 - 1.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6\/7, 31\/2, 2, -0.5, -4 in ascending order.\nAnswer: -4, -0.5, 6\/7, 2, 4, 31\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + c + (1 - 2 + 3)*(-c - 2*c + 5*c) - 17*c + 43*c + 12*c - 4*c + 4*c + c + (-3*c - 3*c + 4*c)*(2 - 3 + 3).\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 4. Let g be j(-4). Suppose 0 = -2*c + 4 + g. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 485*v**2 - 2 - 473*v**2 + 6*v + 8*v wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 66.224. Let t = k - 1.224. Let p = 0 + 0.6. Which is the closest to t? (a) -0.5 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616489 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8394657, 16789316, 25183975, 33578634, 41973293, 50367952?\nAnswer: 58762611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 0.0589.\nAnswer: -2.9411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 42*y**2 + 423*y + 30 = 0.\nAnswer: -10, -1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74\/1169 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-45)*15180\/(-644)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.047 + -15.953. Sort n, -2\/7, -1\/5, -3 in increasing order.\nAnswer: n, -3, -2\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22097.\nAnswer: 19, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/3 - 148*o**2\/3 + 1792*o\/3 - 2352.\nAnswer: 4*(o - 14)**2*(o - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5896 - 322. Suppose -14 = -6*x + u. Suppose -4*q + 312 = 4*p, p + x = 5*p - q. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11426 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60434 and 5494?\nAnswer: 60434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104041231000 - 1?\nAnswer: -104041231001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*s - 1 - 121, b - 3*s = 69. Let z = 65 - b. Solve -4 = -3*p + 5*p, z*w + 8 = p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/28282148 and 13\/84846444.\nAnswer: 84846444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - 0.7. Let d = 104 - 107. Put p, -1\/6, -0.5, d in decreasing order.\nAnswer: p, -1\/6, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/31)\/k)\/k)**(-26)\/((k\/(k\/(k\/k**(-2\/35)*k)*k)*k)\/k**(-1\/6)) assuming k is positive.\nAnswer: k**(318583\/6510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**2 + 687*g + 18346. Give f(120).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4145520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 614094?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3199991 is divided by 1626.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-25982925\nAnswer: -2598292.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.1, -5, 2\/615 in increasing order.\nAnswer: -5, -3\/4, -0.1, 2\/615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111110000 - 10000010011100?\nAnswer: -1100010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011010101101 (base 2) in base 6?\nAnswer: 42513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-12))\/(-1 - (-86)\/87). Let l = q - -32. Suppose -l*p = -0*p - 348. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -103*b - 2. Let o be p(-1). Suppose 265 = -t + 6*t. Suppose -4*w = 3*k - 18 - o, k + 4*w - t = 0. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313 a factor of 87953524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2063 - 0.6063. What is the nearest to -0.3 in -0.3, -11, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 4*w + 2. Let u = -5 - -14. Let y(g) = -16764*g**2 - 9 + 16756*g**2 - 12*g + 29*g. Determine u*h(i) + 2*y(i).\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g + 196*g**2 + 14*g - 194*g**2 + 11*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 28 - 2*c**2 + 4*c**2.\nAnswer: 2*c**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 10*l + 7*l - 235 = 0, 4*l = -5*u - 295. Let v be 204\/10 - 33\/u. Calculate the greatest common factor of v and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21210221 (base 3) to base 10.\nAnswer: 5695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4*q - 5974335*c**3*q + 1720*c**2*q - 66*c**2 + 30*c wrt c.\nAnswer: 48*c*q - 35846010*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 + 1361036\/6806 + -137?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.6 or -13044?\nAnswer: -13044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -8187\nAnswer: -16374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*u**3*z + 3*b*u**3 + 15*b*u**2 + b*u + 71995*u**3*z - u**2*z - 43*u**2 + 77*u*z - 2 wrt u?\nAnswer: 6*b*z + 18*b + 431970*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*j - 35 = 80*j. Let l be ((-12)\/(-27))\/((-20)\/(-6)). Let q = 0.027 - 0.627. What is the third smallest value in j, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1147 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 926*p**2\/5 - 913*p\/5 + 38\/5.\nAnswer: (p - 38)*(p + 1)*(25*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 783856181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -590, -0.02, -1, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 + 112*y + y**2 - 112*y + (y - y + y)*(-3*y**3 - 2*y**3 + 6*y**3) in the form c*y**4 + v + a*y**3 + j*y**2 + g*y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 6. Let o be d(-8). Suppose -5*w + 2500 = -o*m, -2*m + m = 2*w - 1009. Suppose 3*b + 4*f = w, -b + 4*f + 716 = 3*b. Does 29 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 0*g**3 - 1\/2*g**2 - 1\/4*g**4 - 6*g - 4. Calculate s(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 50143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5143\/3 - 40859\/24. What is the common denominator of p and -34\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -245*r + 2798076 - 2814491 for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483094.7 grams to nanograms.\nAnswer: 483094700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 8*d - 140. Solve q + 0*q + 4 = 2*r, -5*q + 2*r = d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -17 - -4 - 13) + 21 + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -3, 10\/13, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 17}. Give prob of sequence ns.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -106*r**3 - 530116*r**2 - 663080000*r - 725000000.\nAnswer: -2*(r + 2500)**2*(53*r + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12052, -24103, -36154, -48205?\nAnswer: -60256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*y + 927*y + 60*y + 98*y + 767*y in the form m*y + q and give m.\nAnswer: 1973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, x: 2}. Give prob of sequence px.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 4 - 18)*(20*x + 26*x + 4*x) in the form z + g*x and give g.\nAnswer: -1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -164 and -40616.\nAnswer: 6661024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2309.5291 to the nearest 10.\nAnswer: -2310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1136 divided by -8.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -0*x + 3*x. Let d(c) = -11499*c - 12. Let t be d(-1). Is t\/77 + 2\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 6*u**2 - 6*u - 5. Suppose -2*t - 7 = -3*t - 3*s, 4*t + s - 28 = 0. Let n be z(t). Suppose 9 = n*b - 7. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/21 + 347\/966. Let b = s - 133\/230. What is the closest to -1\/2 in 5, 19, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(4\/9))**(-2\/93))**(-24) assuming k is positive.\nAnswer: k**(80\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 5\/6 (c) -3\/67 (d) -6\/11 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*i - 63 = -207, -4*i = 8. Which is bigger: -134 or b?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 16) to base 4\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 3:12 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 7, h: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 54 = -2*y, -y - 90 - 3 + 9 = 18*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1490 and 124.\nAnswer: 92380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4168094, 4167965, 4167836, 4167707, 4167578?\nAnswer: 4167449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - 2 - 2*z + 5*z**2 - 5*z**2 + z**4 to the form j*z**2 + k + n*z + t*z**4 + y*z**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 + 8*t + 10. Let d(w) = 2*w**2 - 4*w - 5. What is 2*b(n) + 5*d(n)?\nAnswer: 2*n**2 - 4*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2 + 28*r\/3 - 10 = 0.\nAnswer: 5\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*y + r + 8, 6 = 3*y + 3*r. Let q = y - -86. Suppose j + 4*j = 90. Calculate the remainder when q is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -26. Let f be (z + 3 - 0) + -10. Is 17 a factor of 215*(36\/(-15))\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**3 + 19*m**2 - 22*m + 3. Let q(h) = 7*h**3 + 13*h**2 - 15*h + 2. Let l(k) = -5*j(k) + 7*q(k). Let c be l(-5). Sort c, -5, 2 in decreasing order.\nAnswer: 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0474 and -56.\nAnswer: -2.6544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -7, 0.4, -2, 5\/3, -3 in ascending order.\nAnswer: -7, -3, -2, -0.8, 0.4, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 13*f = -20. Suppose 14 = 4*n + 2*d, -3*d - f - 2 = -2*n. Solve 0 = -15*p + 12*p - n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 929752 plus 0?\nAnswer: 929752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.22046 years to millennia.\nAnswer: 0.01622046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z**2 - 1. Calculate i(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c - 2 + 6*c + 6*c + 8*c**2 + c**3. Let j be f(-7). Let p = -13 - j. Let r(i) = i**3 - 2*i**2 - 3*i - 4. Determine r(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = 10. Suppose q - j = 0, -q + p*j = j + 20. What is the remainder when 12 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 134*19\/63650\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 45*h**2 - 122*h + 612. Give d(5).\nAnswer: 1127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k + 19. Let a be v(6). What is the third biggest value in -2\/5, -0.1, 2\/21, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 29. Suppose -5*s + 2*c = -14, -s = -0*s - 3*c - k. Solve 6 = -2*m - s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d**3 + d**2 - 1. Let p be (-3)\/2*(-1)\/(18\/24). Let l(q) = q - 2. Let r be l(3). Let v be r*p\/10*5. What is b(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 262212?\nAnswer: -262203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 1, h: 1, c: 1, z: 1}. What is prob of sequence hy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w**5\/2 + 6*w**4 - 25*w**3\/2 - 25*w**2 - 6*w + 4 = 0. What is w?\nAnswer: -2, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 100 - 78. Let y(n) = n**2 + 5*n - 5. Let x be y(-7). Let m = x - w. Calculate the highest common divisor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 (base 13) in base 9?\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 8*x**2 - 2*x + 3. Let z be n(-8). Suppose 7*d - 4*d = -4*u - z, 1 = -d. Which is the nearest to -2\/3? (a) -2\/13 (b) -6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a1d57 (base 14) to base 2.\nAnswer: 1101110010111011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 - 24*u + 146. Let b be j(-30). Suppose 0 = 11*c - b - 2112. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2)*(-4 - -3). Let w be (66\/(-15))\/(q\/5). Let o = -16 + w. What is the greatest common divisor of o and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + (19 - 41)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*(11\/(-22))\/(9\/4)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*x + t - 10, 0 = -4*x + 2*t - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -82*x**2 - 170*x**2 + 249*x**2. Let g(y) = 7*y**2 - 3*y. Let v(s) = s**2 + s. Let q(z) = 2*g(z) + 6*v(z). Determine j(q(l)).\nAnswer: -1200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 8:51 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*p - 2. Let y(x) = 4*x - 1. Let j be y(1). Let u be 2*1 - (j - 4). Solve -p*a = -u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2 + 771*v - 14868 = 0. What is v?\nAnswer: 21, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*o = 90, -18*k = -14*k + 3*o - 72. Suppose 0 = -0*p - p - 4. Let w be k\/4 + (-6)\/p. Solve -c - c = w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {t: 1, q: 1, y: 6, j: 3, e: 1, c: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 48. What is q(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*g + 56 - 17 = 0, 0 = 3*g + 15. Suppose d = -4*d + 3*o + 92, 2*d - x = -2*o. Calculate the lowest common multiple of 12 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 13 = f - 4*i, -4*i + 17 = -5*f. Let y = 6 + 4. Suppose -4*k - y = -2*k. Which is the second biggest value? (a) f (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b - 30. Let z be 1*5\/(-15) + (-32)\/3. Let p be d(z). Let u be -1 - 1 - (p + -7). Solve 2*w + 5*l = 6*w + 13, -2 = u*w + 2*l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*f - 670, 0 = 4*c - 5*c - 4*f + 140. What is the highest common divisor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1894, 5 in decreasing order.\nAnswer: 5, -4, -1894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 4*l**2 + 3*l - 3. Let k be p(-3). Let i be k\/((-12)\/268) - 4. Suppose -59 + i = 4*w. Solve -4 = f - 5*z + w, -1 = f - z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 + 0*b**2 + 0*b**2 + (2*b**2 - 4*b**2 + 4*b**2)*(-3*b + 4*b + 0*b) - 501*b**3 + 178*b**3 - 204*b**3.\nAnswer: -528*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**3\/3 + 11*i**2 - 43*i + 35. Let p be w(20). Is ((-419)\/p)\/((-17)\/(-51)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*sqrt(130)*1*-6)\/(-4*sqrt(10)*1*5).\nAnswer: 54*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12554639 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 f when four letters picked without replacement from {f: 10, t: 9}.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239183531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*h - 18. Let z(k) = 11*k - 17. Let g(w) = 4*w - 6. What is h*z(t) + 17*g(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 7*a**2 - 2*a - 10. Calculate the least common multiple of 20 and s(-6).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1831724262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 9 = 21. Suppose -3*x + 42 = -3*i, 5*i + 0*x + 4*x = -25. Let w = i + 16. Solve 2*o = o + y + w, 5*o + h = -5*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.145 - 3.855. Which is the nearest to 2\/7? (a) x (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 22\/6)\/(600\/(-144))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1524.80077?\nAnswer: 1523.80077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 37, 2\/1205?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - -5. Suppose 2 = -4*o + f. Suppose 45 = j - 3*u - 22, 3*u - 238 = -o*j. What is the remainder when j is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 0)*(3*r + r - 2*r) - r + 3*r - r)*(-1 + 3 + 1 + (2 - 1 - 3)*(1 - 4 + 13)).\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/3 + (-2)\/6. Let p(y) be the third derivative of -y**5\/60 + 5*y**4\/24 + y**3\/3 + 6*y**2. Let t be p(a). Solve -7*b + t*b = -10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 7*c**2 - 10*c + 6. Let i be g(9). Is 26 a factor of (i\/2)\/((-9)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 2:15 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 460 and 880.\nAnswer: 20240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4\/5 - 2658*d**3\/5 + 1797849*d**2\/5 - 42007032*d\/5 + 249766416\/5 = 0.\nAnswer: 12, 1317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27817638.\nAnswer: 2, 3, 79, 58687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**3 - 5*o**2 - 5*o - 5. Let i(w) = -39*w**3 + 24*w**2 + 24*w + 24. Let q be -2 + 4 + 1 - (0 - -18). Let h = q - 9. Calculate h*d(t) - 5*i(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41755 is divided by 8348.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 463 and 2135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2262\/(-493))\/(-26)*7\/(-7))\/(3\/20).\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 5. Let a be p(10). What is the first derivative of t**3 + 1 + t**3 + 11 - a wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6439 or -19365?\nAnswer: -19365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 346982.4 nanograms?\nAnswer: 0.0000000003469824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83\/42 - 9\/14. Is 0 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 65. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 5*q**2 - 6*q - 6. Let n(w) = w**3 + 28*w**2 + 97*w + 18. Let a be n(-24). What is z(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2060368 micrograms to milligrams.\nAnswer: 0.0002060368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -96321.813 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*f + 4*m, 0 = 5*f - 3*m + 8*m - 35. Suppose f*l = 34 + 8. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000185262 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(4\/(-172)*2). Suppose 0 = -4*w - w + b. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-60)\/45)\/((-2)\/(-9)). Let x(s) = -s**2 + 7*s. Let b(p) = p. Calculate d*b(f) + x(f).\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3967*k = -3958*k - 12717. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, i: 13}. What is prob of sequence zizi?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 divided by -2264.\nAnswer: 47\/566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00168720624 to 5 decimal places.\nAnswer: -0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 1058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 1. Let p(u) = u. Let a be 16\/3 + 6 + (-32)\/6. Let h(j) = j**3 - 8*j**2 + 11*j + 8. Let r be h(a). Determine r*z(x) - 5*p(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -11*h + 7. Let o(s) = -5*s + 4. Let g(r) = -3*d(r) + 5*o(r). Let c be g(2). Let q = c + 2. What is the remainder when 32 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 12:10 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2027641.\nAnswer: 7, 11, 17, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/21*33\/(-44).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35044 + -35120. Is b < -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (218\/6 - (110 + -117))\/(16\/(19 - -29))\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*o + 710*o + 242 = 4*t, -3*t - 44 = 4*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360\/(-28))\/(-2) + (-7)\/1 + 0.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -505 + 507. Let c be 693\/55 - (-6)\/(-10). Solve -c = -g*a - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -8*o + 4*o. Let x be (-3)\/(-43)*220\/(-56). Let u = -1\/86 + x. Which is the second smallest value? (a) u (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 3*o**2 - 6*o**2 + 0*o**2. Let k(a) be the third derivative of 0 + 4*a**2 + 0*a - 1\/8*a**4 + 0*a**3. What is x(k(v))?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/7)\/(j\/(j\/j**3)*j)*(j**(3\/7)\/j)**(1\/9) assuming j is positive.\nAnswer: j**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 877*g**6\/120 + g**4\/24 + 847*g**3\/2 + 4918*g**2. Differentiate s(f) with respect to f.\nAnswer: 2631*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 29 - ((-2 - -1) + 2 - -8). Solve -4*f = q + 5 + s, 5*f + 20 = q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2 - 14 = 0. Solve -b*d + 20 = 0, -5*f + 3*d + 5 = -0*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 842\nAnswer: 5\/842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4) + (-180)\/(-48). Suppose -2*c + 20 = -2*o, -4*c = -q*o - 19 - 23. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -597061 + 0.18\nAnswer: -597060.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 9*a**2 - 9*a - 5. What is k(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4170494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 6.9. Let q = -1 + 3. Let a = 0.1 + -0.3. Sort q, f, a in descending order.\nAnswer: q, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Let q(o) = 2*o + 1. Let i be q(j). Let u(w) = w**2 - 6*w - 7. Let y be u(7). What is the nearest to y in 0.3, -0.5, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10030573361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*u = 231, 5*i = 4*u - u + 234. Let n be (-92)\/(-10) + (-2)\/10. What is the highest common factor of i and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 411416 + -411414. Solve 15*h**c - 9\/2*h**3 - 9 - 3\/2*h = 0.\nAnswer: -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -c + 7, 5*a + 1043*c + 20 = 1048*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/147, -0.2, 1\/4, 0.6, -0.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127 + 1145\/9. Which is the smallest value? (a) i (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1511, -3043, -4575, -6107?\n\"Answer: -1532*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1034 and 564?\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + x + 3)*(0 - 6 + 0) - 4*x + 30 - 30 as o + k*x and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, 50, 140, 266, 440, 674, 980, 1370?\n\"Answer: 2*f**3 + 52*f - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 40. Let l be n(-8). Let h(t) = -t**3 + 8*t**2 + 5. Determine h(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 - 5.06. Let w(l) = l**2 - 14*l + 20. Let f be w(13). Let c(h) = -h**3 + 8*h**2 - 6*h - 1. Let s be c(f). Sort g, s, 5, 2\/5 in descending order.\nAnswer: s, 5, 2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4*d - 22314 = -22290, 28 = 3*a + 4*d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/(1\/2). Let i = v + 2. Find the second derivative of -3*p**2 + i*p - p - 3*p wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 4) in base 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -23212?\nAnswer: 23203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minus 985917?\nAnswer: -985878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 75600 divided by 8\nAnswer: 9450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16422 - 16421.9999992209. What is c rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/19 - 29064*l\/19 + 105589512\/19.\nAnswer: 2*(l - 7266)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y**5 - 29*y**4 + 4*y**3 - 33862*y**2.\nAnswer: -240*y**2 - 696*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k*k*k*k**9)*k)\/k*k*((k\/k**4)\/k)\/k*k*k)\/(k**(2\/9))**(-3\/14)*(((k**(3\/5)\/k*k)\/k)**(-50))**18 assuming k is positive.\nAnswer: k**(7309\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142824 divided by 926?\nAnswer: 571412\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 539 and 252377734?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287 + 749.38.\nAnswer: 1036.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1068 and 11\/579924.\nAnswer: 579924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (9 + 0 - 5)) + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 34\/11?\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 426.9 in 0.1, 1, 1.11, -2\/7, -1?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6038330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddkmdddkdkdkkmk. Give prob of picking 3 k and 1 m.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**2\/11 - 164*p\/11 - 1904\/11 = 0.\nAnswer: -68, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -3 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 2*u**6\/15 - 4*u**5\/5 + 2*u**4 - 8*u**3\/3 + 2*u**2 + 18*u. Factor s(h).\nAnswer: 4*(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 6*m - 6. Let l be r(-7). Suppose -x = -0*x + 1. What is the closest to x in -1, l, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, -1, -7603, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -394 + 393.8. Put -2, 0.08, z, -0.6 in descending order.\nAnswer: 0.08, z, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)*((d*d*d*(d\/(d*d**(-3\/8)\/d))\/d*d)\/d)\/d*(d**(1\/4)*d)\/(d*d*d\/d**(2\/11)*d*d*d))\/((d**(-2\/5))**35\/(d\/(d**(2\/7)\/d))**44) assuming d is positive.\nAnswer: d**(50041\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 137128311 a multiple of 963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15033 - 841745\/56. Calculate the common denominator of 97\/40 and w.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 - 0 - (-1 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3\/5 - 1022*y**2\/5 + 17476*y - 11560 = 0.\nAnswer: 2\/3, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 28*g**2 + 49\/6*g**3 - 1\/60*g**5 + 0*g - 11\/12*g**4 + 0. Let j be u(-24). Is -4\/41 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = v - 71, -5*j - 2*v = -115 + 48. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16814 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -5. Let n = 0 - -4. Suppose -4*g - 7 - 9 = 0. Put n, g, l in increasing order.\nAnswer: g, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13030283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 - 64*u - 18. What is the smallest common multiple of 29 and b(-17)?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1260) - (sqrt(1260)*-2 - sqrt(1260)))\/(sqrt(125)*-3).\nAnswer: -8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46215\/14931 + -2 + (-40)\/(-21). Put -9, 0, -2, v, -4 in descending order.\nAnswer: v, 0, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (30 + (17 - -3))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q\/(q**(1\/3)*q)))\/((q*q\/(q**(-4)\/q))\/q))**(2\/27)*(((q\/(q*q**2))\/q)\/(q\/(q*q**(1\/7)\/q*q)))**44 assuming q is positive.\nAnswer: q**(-71392\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (160 - 73834\/402)*-3\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0 - 1\/9*m**3 + 0*m - 5\/72*m**4 + 1\/360*m**6 - 1\/60*m**5 + 1\/630*m**7 + 2*m**2. Factor f(q).\nAnswer: (q - 2)*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*c - 12 = 0, -3*c + 22 = 43*p - 48*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 2*w + 16. Let m be b(6). Let i(r) = 4*r**2 + 31*r + 9. Calculate the remainder when 81 is divided by i(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -12*s + 5. Does 2\/11 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -59, 0.3, 0.5, 223, 2 in descending order.\nAnswer: 223, 2, 1, 0.5, 0.3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 7*t**2 + 7*t + 11. Let f be z(8). Which is the second biggest value? (a) -0.5 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 38284408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**2\/p*p*p)\/p*p)\/p*p*p**(-1\/11))\/(p**(2\/23))**50 assuming p is positive.\nAnswer: p**(142\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + 16. Let f(n) = n**3 + n**2 - 4*n - 4. Let b be f(3). What is the greatest common factor of l and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/54 and 181\/482130.\nAnswer: 1446390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - g - 11. What are the prime factors of o(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**2 + 4*w - 4*w + 2 - 5*w**2 - 3*w**2 + 3*w**2 + (-5*w + w + 2*w)*(-w - 3 + 3) - 3*w**2 + 4*w**2 - 3*w**2 as v*w**2 + q + g*w and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -1308, -2944, -5234, -8178?\nAnswer: -11776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from exxxxxeexexemzeeexb?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 1332*f**2 - 2264*f**2 + f + 0*f**3.\nAnswer: -2*f**3 - 932*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 15 = 3*u + 27, 15 = -2*u - 5*i. Let a = u + 27. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -137843, -137844, -137845, -137846, -137847?\n\"Answer: -w - 137842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s*s*s*s**(1\/47))\/s*s)*s)\/(s\/s**(-2\/45))*s**36*s\/(s*s*(s\/(((s*s**(-27)\/s)\/s)\/s))\/s))**(-2\/21) assuming s is positive.\nAnswer: s**(-20872\/44415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 - 90. Let z = 0.1 - -0.2. Which is the fourth smallest value? (a) -0.06 (b) z (c) -5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 3*m + 8. Let a(i) = -i**2 - 2*i + 8. Suppose -4*w - 180 + 175 = -3*w. What is w*o(n) + 6*a(n)?\nAnswer: -n**2 + 3*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 7596?\nAnswer: -11\/3798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23400 is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:36 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/23)\/((a*a**(-20))\/a)*a**(1\/6)*a\/(a\/a**(-2\/67)) assuming a is positive.\nAnswer: a**(186587\/9246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50654331 to the nearest integer?\nAnswer: 7117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5 - 5 + 19 - 8. Let x(j) = -j**2 + 1. Suppose -2*p + 0 - 2 = 3*n, 4*n = -p - 11. Give n*x(z) + 4*g(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 792\/5 - 38883\/245. Let c = 80\/539 - u. Find the common denominator of c and -7\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-5\/7)*r*r**(-2\/3))\/((r*r**(2\/109)*r)\/r)**(-1\/21) assuming r is positive.\nAnswer: r**(1528\/2289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1170*y**3 + 2*y**2 - 5*y + 2. What is the units digit of h(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (6 + -11)) + -2 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 - 10*q. Let k(m) be the second derivative of 5*m**4\/12 + 11*m**3\/6 - 63*m. Give -5*k(n) - 6*r(n).\nAnswer: -n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -6706000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 112710582 to the power of 1\/2, to the nearest integer?\nAnswer: 10617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 165 - 157 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.5 (b) 2 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-32379)\/(-1290))\/(-251))\/((-4)\/(-5)))\/(2\/54).\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 11 = 3*j - 23, -m - 1 = 4*j. Determine l, given that 0 - 1\/6*l - 1\/6*l**4 - 1\/2*l**2 - 1\/2*l**m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 34) + -44 + (4 - 10 - -4) + 12.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, h: 5, y: 2}. Give prob of picking 1 h and 2 m.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, 4\/3, 26 in ascending order.\nAnswer: -0.3, 0, 4\/3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1500.9436514 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**4\/6 + 3*x**2. Let k(t) = 4*t. Let j(f) = 23*f. Let m(z) = 6*j(z) - 34*k(z). What is m(o(c))?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 108, -4 in descending order.\nAnswer: 108, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 13333410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-6 + -20) - 12.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 374412420 >= 374412419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffof when four letters picked without replacement from {o: 4, f: 14}?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6187660218.\nAnswer: 2, 3, 53, 127, 51071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 + 19*y**3 - 11*y**2 + 13*y**3.\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - p**2 - 3*p**2)*((0 + 5 - 3)*(0 + 4 - 2) - 3 + 1 + 0 + 1 - 3 + 4 + 1 - 3 + 4).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 323 = -23. Suppose -4*z - 110 = -3*y, -2*y + 109 = -4*z + 29. Suppose -i = -5*h + y. What is the lowest common multiple of 12 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*g**4 - 131*g**4 + 193*g**4 + (2*g + 2*g - 3*g)*(g**3 + 2 - 2) + 3*g**4 - 1 + 1.\nAnswer: 144*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 + -93. Put -4, 0.02, 1\/3, f in increasing order.\nAnswer: -4, f, 0.02, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96d7 (base 15) to base 13.\nAnswer: -116bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3\/u)\/(u\/((u\/u**(19\/2))\/u)) assuming u is positive.\nAnswer: u**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-21)*(-1)\/(3 - (13 - 11)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 117. Let j = 37 + d. Solve 0 = -j*n - p - p - 6, 0 = -4*n + 2*p - 24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 - 3*s**2 + s - 1. Calculate c(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183 - 67. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -361993, -2, 40 in descending order.\nAnswer: 40, -2, -361993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009207556548 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 = 8*s + 100*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 204 + 54. Let g = -37 - z. Let i be (-2)\/(2 + 0) + 8. Calculate the highest common factor of i and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j**3 - j**2 + 2*j - 2. Let t be b(1). Suppose 5*i - 5*m + 5 = 0, -4*m = t*i - 0*i - 13. Put i, -4\/3, -1\/3 in decreasing order.\nAnswer: i, -1\/3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) -1\/21 (b) -2\/11 (c) 314\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.285 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 755000 and 9060?\nAnswer: 2265000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 4 (b) 3\/2 (c) 5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9637 = 2*q - 3*r, 0 = 17*q - 13*q - 2*r - 19262. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13010113002 (base 4) to base 12.\nAnswer: -754316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5 = 3*g - 17, 4*v + 8 = 2*g. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*l**3 + 89691806 - 89691806.\nAnswer: -150*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186198.\nAnswer: 2, 3, 31033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 17 + (41 - 64)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -2 + 11\/(-13). Put 4\/7, -0.2, -0.5, a in increasing order.\nAnswer: -0.5, -0.2, a, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2119586 litres in millilitres?\nAnswer: 211.9586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 11 + 236\/(-12) - -9. Let m(d) be the first derivative of -16\/9*d**3 + 0*d + 26 + 1\/6*d**4 + i*d**2 + 2\/5*d**5. Suppose m(h) = 0. Calculate h.\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7429, 14864, 22303, 29746, 37193?\n\"Answer: 2*u**2 + 7429*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 6. Let c(a) = -a - 4. Let n be c(-4). Is q bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -506*a - 7 + 235*a + 269*a. Calculate n(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 + 451. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 2*z + 9. Suppose 25*h - 5 + 23 + 32 = 0. Let g(l) = 3*l**2 - 4*l + 18. Calculate h*g(x) + 5*r(x).\nAnswer: -x**2 - 2*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 858504 < 858504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2*z**3 + 7*z**2 - 1 - z**3. Let c be y(-8). Let o(h) = 2*h - 39. Let k be o(18). Is c equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171563 (base 8) in base 3?\nAnswer: -10011111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015633689?\nAnswer: 3, 7, 48363509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 328, 722, 1272, 1978?\nAnswer: 2840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*s - 5*a + 48, -8 = -4*a. Solve -19 = s*w - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)*j*j*j**(-3)*j**(1\/8)*j\/(j**2\/j)*j**(-5)\/(j*(j\/(j*j**(-3)\/j)*j)\/j*j)*(j**1)**46 assuming j is positive.\nAnswer: j**(241\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((0 + 1)\/(-1 - 1)). Let k be (-18)\/(-4)*4\/6. Suppose 6*n = k*n + 21. Solve -o = -c + 4*o - 11, -l*o = -3*c - n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(495))\/((sqrt(15)\/sqrt(27) - sqrt(5)) + (sqrt(5) - sqrt(60)\/(sqrt(12)*-2 - sqrt(12)))))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*w = 100 - 607, -5*w = 2*j - 335. Calculate the lowest common multiple of j and 21\/10 - (-2)\/(-20).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1793 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 55*c = -26*c + 240 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13436154.\nAnswer: 2, 3, 17, 19, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 28*m + 11. Is y(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjq when three letters picked without replacement from qvvvvjvvuqvvuuvv.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -23767*a + 237646. Determine z(10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-140)\/49)\/(1\/(-7)). Suppose 0 = 5*m - x. Solve -4 + 0 = p - m*h, 5*p = 3*h - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 7) + -9 - -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -20*h**3 + 18*h + 18. Let u(j) = j**3 - j - 1. Suppose -3*m - 3*m - 12 = 0. What is m*i(k) - 36*u(k)?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4 = 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79803 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: Let i be (-13 - -7) + (-54 + 6)\/(-6). Solve 2*v = i - 6, -4*v - 18 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/4 - 3)\/(((-20)\/60)\/((-1320)\/18))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4546380473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 10:44 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1332 and 1485.67.\nAnswer: -1978912.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - 1140\/(-36))*4\/(-20) - (-8)\/20?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w - 29. Let i be q(11). Does 8 divide -2 + i - 42\/3*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87839 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: What is 491 minutes after 10:17 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i + 14. Let r be w(-2). Solve 4*m = -r*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 2. Let k(a) = -5*a - 5. Let g(x) = 10*x + 11. Let u(v) = 3*g(v) + 5*k(v). What is 9*m(d) - 2*u(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6998 times -210479\nAnswer: -1472932042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1926 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 5:16 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 2*w - 2. Let x be p(-4). Suppose 2*i - 69 = -i. Let a = i + x. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0108, 13.906, -2\/33.\nAnswer: -2\/33, 0.0108, 13.906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11.1 and -111260798576.\nAnswer: -111260798564.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 5*s - 211. Calculate the lowest common multiple of (-18298)\/(-28)*6\/51 + 4\/34 and s.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59824849 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 2)*(3*t**4 + 2*t**2 - 2*t**2)*(23 + 23 - 9) + t**4 - t**4 + 3*t**4.\nAnswer: -552*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - 10)\/(38514\/(-19256) - 2*-1)?\nAnswer: 2, 7, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*q - 28*q = -56*q + 38796. Solve 306 - q = 10*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 102226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 3.1, -1\/2 in increasing order.\nAnswer: -1\/2, 2, 3, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 12*c - 3891 + 3891 + 0*c.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 61 - 55. Suppose -p - 33 = -4*p. Suppose 4*d - v = p, -5*d + 55 = a. Calculate the remainder when a is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 66. Which is the closest to -1? (a) g (b) 3\/5 (c) 3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 17. Let r = 2 + 3. Suppose z + 3*z = r*o + 26, 3*o + 6 = 0. Put -4, x, z in ascending order.\nAnswer: x, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -905909919*r**5 + 5930348*r**2 - 36*r?\nAnswer: -54354595140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1044 is divided by 624?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 6338, -38, 0.4, -1\/6?\nAnswer: 6338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18529 not equal to 18527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410527*h**3 + 821047*h**3 - 410522*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0)\/(m*m\/m**18)*((m\/(m*m\/(m\/m**7)))\/m)**(13\/2))**44 assuming m is positive.\nAnswer: m**(-1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpm when three letters picked without replacement from {m: 3, d: 9, p: 3, r: 1, e: 2, v: 2}?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12\/13, 1\/5, 0.5, 3.\nAnswer: -1, -12\/13, 1\/5, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, w: 6, h: 1, q: 1, x: 1}. What is prob of picking 1 q and 1 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 3*t - 31)*(3 - 3 + 1)*(-3 + 2 - 1).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from uuuppuuupnnupupnpp?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:23 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1008))*5 - (sqrt(1008) - ((sqrt(1008) - (sqrt(1008) + 1) - sqrt(1008)) + -4 - sqrt(1008))))**2 - (6*(2 + 1*sqrt(448)))**2.\nAnswer: -12240 - 1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6057.\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -9416, 0.4 in descending order.\nAnswer: 0.4, -0.9, -9416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12404.\nAnswer: 2, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 21*t + (2 - 2 + 1)*(-5 + 5 - 3*t) - 14*t - 8*t - 7*t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 8. Suppose -4*q - 5*b = 2, -2*q + 2*b = b + 8. Let t be l(q). Let u be 7\/t - 18\/(-4). Solve 3*w = 2*k - 6*k - 20, 5*w = -u*k - 28 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 104*b**3*i**2*y + 2*b**3*i*y + 15*i**2*y - 2*i**2 + 4*i*y with respect to b.\nAnswer: 312*b**2*i**2*y + 6*b**2*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3732, -1, 29, 43.\nAnswer: -3732, -1, 1, 29, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229128664 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 13 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 4, x: 3, m: 9}. What is prob of picking 2 p and 1 f?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2440)\/(-594) + -4 - 6\/(-81). Which is the biggest value? (a) -0.3 (b) 0.03 (c) 6\/11 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 519697686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -681*v + 514*v**3 - 216*v + 707*v**3 + 1673*v**3 wrt v?\nAnswer: 17364*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.11 and 7078?\nAnswer: 64480.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.063+-636572560\nAnswer: -636572560.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5842286*t**3 - 1294147*t.\nAnswer: -35053716*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 25 + 1 + -1 + -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 18 = -2*a - 7, 0 = -a + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {r: 9, o: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 27. What is the common denominator of (-156)\/j - 3\/1 and 2*-22*(-6)\/(-32)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 7 + 29)*(-2*q + q**4 + 2*q) to v + t*q**3 + p*q**4 + w*q**2 + a*q and give p.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 - 11)\/((-1)\/(-2)). Is 13 a factor of 499\/7 + w\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (7 + -12 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w. Let c be ((-36)\/252)\/(12\/(-14)). Let m(o) be the third derivative of -15*o**2 + c*o**4 + 0*o + 0 + 0*o**3. Determine m(b(u)).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 38735.98 millilitres?\nAnswer: 38.73598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/25*135\/(-9720).\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-13) + 363\/(-2574).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-6)\/18)\/((-28)\/6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 3)*(-7)\/(-21)*-33. Solve -10*r = -1 + f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.2, 1\/2142 in descending order.\nAnswer: 0.1, 1\/2142, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Let w be 0*(-1 - -4)\/v. Suppose w = -q - 0*p - 2*p + 18, 0 = -4*q + 5*p + 33. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*v + 22*v - 81*v. Put -3, 20, 5, -5, v in increasing order.\nAnswer: -5, -3, v, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -10. Let w(o) = 4*o**2 + 0*o + o - 4*o**k - 3*o**2. Suppose 0*x = 4*x + 4. Determine w(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Suppose -o = -g*o. Suppose -2*l + 26 + 10 = o. Solve h - 4*h = 6, 4*r - 3*h - l = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 28*s. Let g be r(1). Let f = g + -195\/7. Let j = 4 - 2. Which is the nearest to -1\/3? (a) -0.2 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2469107 is divided by 306.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121.6 + 122. Let l = -60.2 - -60. What is the second biggest value in 0.2, 5, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 != -244\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8985859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1584) + 0)*-6*3)**2.\nAnswer: 432*sqrt(11) + 513217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3588937?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15497485?\nAnswer: 5, 3099497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7847291.4 - 4.\nAnswer: 7847287.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j = 5. Let i = 225 + -222.58. Let p = i - 2.12. Which is the closest to p? (a) 0.4 (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 193, -15, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2850 is divided by 687.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:09 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 1. Let r be v(-2). Let h be -1 + 2 - (-26 - 3). Suppose -16*x - h = -21*x. Solve -x*w = -3*w - r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7037.63 to the nearest 10.\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5763*l**3 - 137*l**2 + 2?\nAnswer: 34578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/4063 + 123025\/2974116. Calculate the common denominator of q and 43\/18.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9856*a - 121. Let p(d) = 657*d - 8. Calculate 8*b(q) - 121*p(q).\nAnswer: -649*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6434*g + 3*b = -6430*g, -3*g - 6*b = 33 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 8*n - 2*n)*(4*n + 5*n - 4*n)*(-3*n + 0*n + 2*n + (n - 2 + 2)*(-3 + 0 + 2)).\nAnswer: -90*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - 6)*2\/4. Let y = 23 + i. What is the greatest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4545028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77310847.\nAnswer: 77310847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + 4*z**3 + 4*z - z**2 as i + q*z**3 + k*z + d*z**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7801105\/46 bigger than -169590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**4\/2 + 10*j**3\/3 + 118*j**2 + 224*j + 855. Factor w(n).\nAnswer: -2*(n - 14)*(n + 1)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 21*t**3 + 18*t**2 - 18*t + 18. Let f(l) be the first derivative of l**4\/4 + l**3\/3 - l**2\/2 + l + 20. Determine 18*f(c) - y(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpmp when four letters picked without replacement from {p: 2, m: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 10. Let p be z(13). Suppose 0*u + p = -r + u, -3*u = -4*r - 13. Does 18 divide (r\/8)\/((-4)\/1440*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64488?\nAnswer: 2, 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 317700870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(243))**2 + 2.\nAnswer: 18*sqrt(3) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-6)\/i)*i**(-1\/8)\/i)**(6\/35)*(i*(i*i**(1\/4)*i)\/i*i)**(-1\/28)\/(i*i**(2\/3))**(-15) assuming i is positive.\nAnswer: i**(417\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 660 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3578? (a) -3\/5 (b) 1.9 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16839 or -16837?\nAnswer: -16837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + c - 2, -5*c + 7*c + 4 = 0. Suppose 6*d - 29 = -2*h + 5*d, -w*h = -3*d - 33. Calculate the remainder when 103 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 19337*m. Let g(z) = -799*z**2. Give s(g(i)).\nAnswer: -15450263*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -21895, -1, -21 in decreasing order.\nAnswer: -1, -21, -21895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6169157573 to the nearest integer?\nAnswer: 78544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by 100.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.179416542 and 2.\nAnswer: -0.358833084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 46417378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-169)\/(-26))\/(-13))\/((-2)\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -130*h + 570. What are the prime factors of w(-19)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -887 + 905. Does k = 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 9) to base 14.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8de + -427e?\nAnswer: -3890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 24. Let x be (-3 - 0) + (12 - p). What is the nearest to 0.1 in x, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + b1b7203?\nAnswer: b1b71b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -5461.04 to the nearest one hundred.\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 482*c - 252. Let s(r) = r. Give p(s(l)).\nAnswer: 482*l - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (72\/21*35\/(-10))\/(3 + -5). Let f be 6\/9 - (-4)\/(-6). Let g be (0 + (f - -2))\/1. Solve 5*u - g = -4*k - 14, -5*u = 2*k + o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1230 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*a - 9. Suppose -2*n = c - 2, c + 6 = -2*n - a*c. What is g in -8\/3 - 6*g**n - 8*g = 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26\/7 + -24\/7. Suppose 0*v - r*v**4 + 0 - 4\/7*v**2 + 6\/7*v**3 = 0. What is v?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0, 419\/3, 0.1, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016344289 a multiple of 619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 + 1797904*a**2\/5 + 3595802*a\/5 + 359580.\nAnswer: 2*(a + 1)**2*(a + 898950)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183001991 to the nearest integer?\nAnswer: 13528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 3*s - 61, -2963*s + 63 = -r - 2959*s for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/((-210)\/8))\/(542\/(-1355)). Which is the closest to 0.55? (a) h (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3041?\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 339080837 to the power of 1\/3, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.39, -1\/3, -0.05, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from uucuucbbuuusbub.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.41 + 0.6. Let r = -0.38 + d. Round r to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.87, -2\/17, 22, -17\/35 in increasing order.\nAnswer: -1.87, -17\/35, -2\/17, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23184)\/(-10304) + 1244\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 562 - 561 - 4904*f + 871*f - 11550*f as b*f + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 989d (base 15) to base 10\nAnswer: 32323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17)*4 - (sqrt(17) + (sqrt(425)*5)**2)) + -4*(6*sqrt(17)*2 - ((sqrt(51)\/sqrt(3) - sqrt(17)) + 4)).\nAnswer: -10609 - 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40\/6 + (-14)\/21 and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -744*11\/11880*-45\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 4:31 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 2*w**2 - 5*w + 19. Calculate q(5).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 69042+1023940.1\nAnswer: 1092982.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 385a9a?\nAnswer: -385a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 1432443\/4*r - 2073\/4*r**2 + 1\/4*r**3 - 329939371\/4 = 0.\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 213*z - 99. Let v(j) = 169*j - 100. Let q(f) = 5*v(f) - 4*w(f). Calculate q(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x + 1. Let q(o) = -o**2 - 7*o - 6. Let a be q(-5). Let t(k) = -3 + 6 - a - 6*k. Calculate -5*f(g) - 6*t(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*9\/(45\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*z - 2*z. Let j = z - -8. Suppose 5 = -j*i - 3*w - 2, i - 24 = 4*w. Solve -i*k - 1 - 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18004*p**2 - 18416 with respect to p.\nAnswer: 36008*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 14*p - 101*p = 39*p - 5754 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2420\/(-165)*(-12)\/8 + -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(((-6*(sqrt(20) + sqrt(60)\/sqrt(3)))\/sqrt(10) + 2*sqrt(2)*1*-4)**2 + 4).\nAnswer: 3216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1754142016.\nAnswer: 2, 11, 19, 199, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l - 494 = 2*k, 0 = 5*k - l + 1223. Let m = -239 - k. Calculate the highest common divisor of m and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 99.86595 milligrams?\nAnswer: 99865.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 2*i + 1. Let w(u) = 2*u**2 - 17*u - 1. Let o(a) = -5*h(a) - w(a). Let r be o(-9). Is 177 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.3 + 65.3. Let h = -58.000025 + d. Round h to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2234 = -7*v + 2414. Let q be 5 + (-1 + 3)\/((-272)\/v). Which is the nearest to -1? (a) -0.2 (b) q (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/33 (b) -3 (c) 2902\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5 = k + v, -3*k + 11 = -4*v. Solve -t + 4*m + k = 0, -3*m + 9 = -2*t - 4*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2028*h**3 + 3*h**2 - 54*h - 165. Let q be t(-3). Calculate the highest common divisor of 60 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 40. Give a(14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 + ((-9)\/(-12) - 365\/(-20)) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713310.6 hours in days?\nAnswer: 29721.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 255021, 509856, 764691, 1019526, 1274361?\n\"Answer: 254835*z + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is af85 - 1?\nAnswer: af84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1295)\/175 + 6\/(-10). Let c(h) = 14*h**2 - 4*h - 8. Let t(o) = 5*o**2 - o - 3. Calculate d*t(l) + 3*c(l).\nAnswer: 2*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, -46, -75, -116, -169, -234, -311?\n\"Answer: -6*w**2 + w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 9760*h**2 - 234348*h - 1406304.\nAnswer: (h - 39064)*(h + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g*g\/g**(-3)*g)\/((g\/g**(-5))\/g**(-7)) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.698488um in nanometers?\nAnswer: 9698.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l - 12. Let j be m(12). What is the greatest common factor of 36 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -574b?\nAnswer: 5749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 35.54?\nAnswer: 7.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(7) - sqrt(14)\/sqrt(2)) + -5 + -5 + sqrt(28))**2.\nAnswer: -640 + 200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/12)\/(1\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -11, 0.4.\nAnswer: -11, 0.4, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15238.58078 rounded to the nearest one hundred?\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**3 + 6*c**2 + 9*c + 10. What is l(-3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 4. Let v be (-136)\/((-4)\/(-2) - x). Let w = v + 27. Which is the closest to 1? (a) w (b) 2\/13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55986 and 70494?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + -1 + 3 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 8:24 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45898133 rounded to 3 decimal places?\nAnswer: 0.459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 515.8 and 0.6261.\nAnswer: 516.4261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, 232, 220, 204?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/11))**13\/(l*l**(-5)*l)**(1\/14) assuming l is positive.\nAnswer: l**(1671\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11919570*m**2 - 3*m + 318223.\nAnswer: -23839140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g - 16. Let d be j(-8). Suppose 2*q + 16 - d = 0. What is the remainder when -4 + (q - -2) + (-5 - -109) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -43*y**2 + 2018*y - 1986. Calculate v(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2. Let b(h) = 3*h**2. Let a(f) = -f**2. Let u(p) = -20*a(p) - 5*b(p). What is u(t(m))?\nAnswer: 125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -23. What is l rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3\/2 (b) 4 (c) 6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 18*l + 10. What are the prime factors of j(11)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294184*d + 308*d**2 + 294184*d - 89*d**2.\nAnswer: 219*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -420*q**2 - 18*q. Let n(m) = -443*m**2 - 19*m. Determine -5*n(z) + 6*v(z).\nAnswer: -305*z**2 - 13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 108059600*y + 729804822010000.\nAnswer: 4*(y - 13507450)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.3 (c) -450 (d) 6\/25 (e) -0.1 (f) -0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3253260 is divided by 1259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 813\/(-203) - (9 + -11). Is n greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhhn when four letters picked without replacement from {l: 3, h: 2, n: 8, t: 7}.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = i + i - 45, -3*x + i - 26 = 0. Let a = 16 + x. Calculate the remainder when 35 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -207166 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -15892 smaller than -3398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 7, k: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 677724.09 and 5.\nAnswer: 677729.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11438 minus -146966292?\nAnswer: 146977730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 431093*d**2 - 207081 with respect to d.\nAnswer: 862186*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**18*v**(4\/13) assuming v is positive.\nAnswer: v**(238\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 668 divide 142987404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 2. Suppose -4*a = 3*a. Suppose a = 2*y - 4 - 4. Solve -v*w = -w - y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 661136942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*x**3 + 29*x - 2976*x**3 - 12*x - 17*x)*(20 - 11 + 11) to the form w*x**2 + v*x**3 + d + m*x and give v.\nAnswer: -58740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-12)*(-4)\/(-6). Let z = -9 + 8.7. What is the second smallest value in l, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**3 - 484*t**2 - 3195*t - 324. What is o(-114)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-17) - (1932\/(-56) + 36)*(-20)\/(-6).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**2*s)\/s)**(4\/15))**(-5\/7)*s**(-6)\/s*s*s**(-5\/6)\/s*s\/(s\/s**6)*s*(s*s**(-4\/5)\/s*s)\/s assuming s is positive.\nAnswer: s**(-141\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -32 + 1\/(-2)*-4. Find the common denominator of -47\/20 and b\/(-8)*(-54)\/90.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23\/298930 or -0.18?\nAnswer: -23\/298930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 5\/6, -39, 3 in descending order.\nAnswer: 3, 5\/6, 2\/9, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5600 and 242200.\nAnswer: 968800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0634 * 4\nAnswer: 0.2536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5820*a**2 + 46564*a - 32 = 0.\nAnswer: 1\/1455, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c - 66316 + 66316 - c**2.\nAnswer: -c**2 - 22*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 381329 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 19*c - 15. What is the least common multiple of i(-11) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(112)*1)**2 - sqrt(112).\nAnswer: -4*sqrt(7) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-1 + 11\/((-55)\/(-10)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1573))**2*4 + (-1*(sqrt(1053) + 0) - sqrt(1053)).\nAnswer: -18*sqrt(13) + 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17793 plus -0.17?\nAnswer: 17792.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uugg when four letters picked without replacement from pgupuk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4379*a - 4836 = 4580*a - 9115*a for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m**3 + 41*m**2 + 329*m + 286. Let r(q) = -37*q**3 - 162*q**2 - 1314*q - 1145. Let x(b) = 6*r(b) + 22*z(b). Factor x(w).\nAnswer: -2*(w + 1)*(w + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in 0.08, 0, 3, -3, -0.3, -58?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 10*c**3 - 125*c**2 + 125*c**2 + c + 1.\nAnswer: -10*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-6))\/((-4)\/30). Suppose k + 4 = 2*n. Calculate the remainder when 12 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 + (-37)\/(-5). Let y be 86\/m + (-2)\/7. Let c = -7 + y. Solve 0*d = c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/111 and -89\/210.\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 106 + 51 + 171)*(-2*a**3 - 2*a + 2*a).\nAnswer: -4*a**4 - 656*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10000?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 - 2*p - 4. Let s(n) = -9*n**2 + 7*n + 13. Suppose 17 - 3 = -2*d. Let c(x) = d*v(x) - 2*s(x). What is the derivative of c(h) wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o + 105 + 113 - 211 + 0*o. Suppose 4 = -3*p + 4*p. Let f(w) = w - 1. Calculate p*f(c) + a(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3) + (-19)\/3. Let s be m\/9 + 1\/(-3). Which is bigger: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -115, -221, -327?\n\"Answer: -106*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3447*l**2*q - 28702*l**2 - 2088*l*q + 178 wrt q?\nAnswer: 3447*l**2 - 2088*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 21*g**2 + 5*g**2 + 0*g**3 + 5*g + 2*g**3 - 623 - g**3 + 670. What is l(-26)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690 = -16*i + 142. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 2 (c) -2366 (d) 3 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9060174 > -9060174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 168.4977km?\nAnswer: 168497700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5 = 3*p, -2*p + 5*k = -3 + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*d**4 + 195*d**3 + 558*d**2 + 564*d + 120.\nAnswer: 3*(d + 2)**2*(d + 5)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4, 6\/11, 125.\nAnswer: -5, 6\/11, 4, 5, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpvnvpvvn. Give prob of picking 1 n and 1 p.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 892 + u**2 - 461)*(4 - 5 - 2).\nAnswer: -6*u**2 - 1293","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 86*a.\nAnswer: 2*a*(a + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3103 - 2802. Calculate the greatest common divisor of 56 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 - 194*y + 2232.\nAnswer: 2*(y - 279)*(y - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/54)\/(11180\/2580).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -374 + 377. Calculate the highest common factor of b and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53075 or -53657?\nAnswer: -53657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(84) + -1*(sqrt(84) - (sqrt(84) + (1*sqrt(84) - sqrt(84))))))\/(-4*-2*sqrt(12) - (-2*sqrt(96))\/sqrt(8)) + 0.\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 5*r + 5. Let a = 11 + -7. Suppose 0 = -a*c - 17 + 1. What is s(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -36 - (-2 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 522 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/(-3) - -3)*372\/(-8). Suppose 3*x = -z + 85. What is the remainder when x is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/1088*-17)\/((1\/5)\/(39\/(-15)))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 4)*(-1)\/2*3. Solve 1 = -5*d + s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r + 64. Determine c(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:17 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 147, 194, 249, 312, 383, 462?\n\"Answer: 4*g**2 + 35*g + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.978535 micrometers to millimeters.\nAnswer: 0.002978535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1544\/1359?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -88. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2944 * 1.12343\nAnswer: -3307.37792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -18. Suppose 0 = -q*j + 8*j - 34. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60392 and 3032.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466 (base 13) to base 6.\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 15744?\nAnswer: 15744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + 1 - (-1 - -26 - (41 - 13)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9989.3526 + 5.3474. Round r to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*h - 2*s, h - 5*s - 1 = 2. Let x be (12\/h)\/(2\/(-9)). Is -5 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(136)*1 - (sqrt(136) + (-2*sqrt(136) + sqrt(136))*-4))\/((2*sqrt(48)*-3)\/sqrt(6)).\nAnswer: 7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26.4 in 2, -0.2, 5, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/2*16\/(-16)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 708, -4, 3\/4, 0.5.\nAnswer: -15, -4, 0.5, 3\/4, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37256 + 101597110\/2727. Let k = y + 98182\/13635. Determine f so that -k*f**3 - 64\/5*f**2 - 12\/5 - 46\/5*f + 2\/5*f**5 - 4\/5*f**4 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 10376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8)*5868\/815*(20\/1)\/(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2277110750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 3 - (12 + -27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008108 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 12c39c?\nAnswer: -12c398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1 - 2*s**3 - 8*s**2 + 6 + 3*s + s**3 + 2*s**2. Let f be p(-6). Is 4 a factor of f\/(-3) - (-2)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 0. Let u = -1.2 - x. Let y = u + 0.2. Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -0.1523\nAnswer: -0.003046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 75?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s - 2. Let n(o) = -o**3 - 5*o**2 - 8*o - 12. Let t be n(-4). What is the smallest common multiple of j(3) and 88\/(t\/1) - 5?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1298471 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**7\/21 + j**5\/4 - j**3\/6 + 2*j - 7. What is the second derivative of n(u) wrt u?\nAnswer: -40*u**3 + 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.966 - -0.184. Let f = n - 6.644. What is f rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 2. Let p be (-1)\/(-2)*4 - 0. Suppose 0 = p*d + q - 20, 25 = 2*d + 5*q + 5. What is the remainder when d is divided by w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 23*d**2 - 132*d + 27. What is n(11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - j + 1)*(-2*j + 5*j - 2*j) - 2*j - j**2 + 2*j + (-24 - 15 + 15)*(2*j - 2*j - 3*j**2).\nAnswer: 70*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67 or -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*-4438774.\nAnswer: -5326528.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5 - 1*(-2)\/(-10). Let w(c) = -c**2 - 4*c - 9. Let d be w(i). Let a(h) = -h**2 + 7*h - 9. Let p be a(7). Is p > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27521 less than or equal to -1128324\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -27026 divided by 27026\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/1054*-85*(-3 + 32 + 1)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*n - 6 + 466*n - 48*n)*(-4*n**2 + 4*n**2 + 4*n**2) to the form q*n + u*n**2 + o + l*n**3 and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -54750)\/((-6)\/8 + 0). Round w to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**5\/40 + 3*y**4\/4 - 14*y**3\/3 - 1149*y. Factor u(z).\nAnswer: -z*(z - 14)*(z - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 45 = -0*d + 5*d, 5*r = -3*d - 13. Suppose -98 - 266 = -d*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(((-490)\/(-70))\/(1*-1))*(-455)\/(-13).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 10*u - 18. Determine d(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 17*p + 44. Give v(-11).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**6\/60 + 2*n**5\/5 - 3*n**4\/4 - 22*n**3\/3 + 322*n**2. Let h(d) = 0. Calculate d.\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7 = 3. What is the units digit of ((-9)\/b)\/(2\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 126 - (43 + 19).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 e when four letters picked without replacement from {o: 1, j: 1, k: 1, q: 6, e: 6}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/8)\/(-1) + (-35)\/(-70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22*((-18)\/(-45))\/(8\/10)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*c**3\/5 + 82514*c**2\/5 + 660193*c\/5 + 5054 = 0 for c.\nAnswer: -190, -133\/16, -1\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2. Let h(k) = k + 2 + 1 - 2. Let y(l) = -20*l - 30. Let t(r) = -30*h(r) - y(r). Determine q(t(o)).\nAnswer: 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 113611153 and 18139?\nAnswer: 1249722683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -146*m**3\/19 + 296*m**2\/19 - 154*m\/19 + 4\/19 = 0?\nAnswer: 2\/73, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-372) + (-1640547810)\/(-1395). Round w to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000658 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 340*j - 1086 - 2152. Solve -j = -10*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4791347348?\nAnswer: 2, 283, 523, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/(-8) - 1) + (-15)\/(-120). Suppose -630 = -35*j - q*j. What is the smallest common multiple of 54 and j?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 523012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 + 248. Let p = l - 26. Suppose 4*k = k + p. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2384612, -2384652, -2384692, -2384732?\nAnswer: -2384772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -69*f**4 - 5*f**3 + 5*f + 33. Let c(b) = 104*b**4 + 8*b**3 - 8*b - 50. Let u(a) = 5*c(a) + 8*o(a). What is the first derivative of u(l) wrt l?\nAnswer: -128*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(104) - sqrt(104))\/sqrt(2).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 39. Let r = 33\/2 + c. Let w = 1 - 2. What is the closest to w in -0.2, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b. Let o(g) = 11*g + 3. Let s(v) = -5*f(v) - o(v). Let q(r) = -3*r - 10. Let t be ((-2)\/4)\/(4\/(-32)). Determine t*q(c) - 14*s(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*p - 272, p = 5*n + 6*p + 280. Let r be n\/(-15) - (-1)\/3. Let c = -3 + r. Calculate the greatest common factor of 11 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4013 + -1946. Suppose -5*k + 2068 = -2*f, 6*f - 9*f = -5*k + l. Calculate the greatest common divisor of k and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 6. Let j(f) = 7. Let w(g) = 9. Let l(r) = -4*j(r) + 3*w(r). Let n(y) = -2*y - 8. Let i(t) = -6*l(t) + n(t). Calculate i(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (54 + -50 - (4 + 75 + -3) - -8).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/69874 + -126179\/3144330. Calculate the common denominator of q and -73\/8.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8493 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2, 0.5, 0.442, 25, 0, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3, 8157, -4, 2, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -9, -4, -17, -2 in increasing order.\nAnswer: -17, -9, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 113672997 a multiple of 1280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 + 1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**5*p*s + l**3*p + 2*l**2*s + 2*l*p*s + 2*l*p - l*s + p wrt l?\nAnswer: -60*l**3*p*s + 6*l*p + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*y*z**3 - 3916*y*z - 28*y + 3855*z**3 - z**2 wrt z.\nAnswer: 156*y*z + 23130*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 55798 times -18\nAnswer: -1004364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 + 23*t**2 - 604*t - 7090. Determine j(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -15*p - 30. Let w be (3 - -1)\/(-7 + 5). Let c be -10*(w + (-32)\/(-10)). What is the remainder when u(c) is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-18)*30\/(-25))\/(8\/40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, and 1 u when three letters picked without replacement from yugotom.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448*p + 50 = -449*p. Let j be (-3)\/(-11 + 8) + p. Sort 3, j, -5 in increasing order.\nAnswer: j, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from whuvwnq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/21 or -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 5, 2, -4259, -4, 3, -3 in descending order.\nAnswer: 48, 5, 3, 2, -3, -4, -4259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10819.6 and -3.5.\nAnswer: -37868.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 0.14177541?\nAnswer: 0.14177541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-27276.\nAnswer: -218208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/4, 6.1, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ndlttnilkttiltt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (1 - 0 - -15) - 0. What is the highest common factor of w and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 4*t - t. Suppose -5*l - 5*r = -245, 0 = 3*l - 2*r - 80 - t. Let s = -24 + l. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -1 (c) -0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 b, 1 i, and 1 z when four letters picked without replacement from {k: 7, a: 3, z: 1, b: 7, i: 2}.\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*l - 6 = -0*v, 8 = -4*v + 4*l. Suppose y + 3*y - 4 = v. Which is greater: y or 1\/21?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130984 and 112272?\nAnswer: 785904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.05, 3\/8, -3516?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, k: 2, z: 4, m: 1, n: 2}. Give prob of sequence zd.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.155 - -4.845. Let u be (-24)\/56*((-5)\/(-3) - 1). What is the third smallest value in 1\/6, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**3 + 18*v**2 + 33*v + 10 = 0?\nAnswer: -1, -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*k + 6 = 0, -2*m + k = 3*m - 15. Let q be (1 + m)\/(-4)*-3. Solve q*a + 10 = 4*o - 3*o, -5*o + 4*a = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 255 + -275. Which is greater: -21 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212642?\nAnswer: 2, 106321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -313*v - 1114*v - 540*v + 534*v - 460*v as c + m*v and give m.\nAnswer: -1893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -15*s - 3 - 11 + 14. Let c(r) = 3*r**2. Give c(d(i)).\nAnswer: 675*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + u - 2*u)*(-5*u + 3*u + 6*u) to k + j*u**2 + v*u and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -2*(-1)\/11. Let w(g) = -g**3 + 11*g**2 - 11*g - 4. Let p be w(8). Suppose -21*a - p = -a. What is the third biggest value in a, c, -1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**2 - 459*c + 7980 = 0.\nAnswer: 20, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*b - 69. Suppose -2*p - 2*o = 0, -6*p + 4*p - b = 5*o. Suppose 2*g - 9 = -g, -p*q = -4*g - 88. Solve 0*n = 5*n - q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103901150.673021 + -0.5\nAnswer: -103901151.173021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/19, 0.63, 0.1, 1, -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 14*h**2 - 15 + 17*h**2)*(-18*h + 3*h - 9 + 9*h) as n + r*h + k*h**3 + q*h**2 and give r.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**5 - 12*k**4 - 52*k**3 + 188*k**2 - 192*k + 64 = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3120 - -3?\nAnswer: -3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 - 20755261*l + 392*l**2 - 2*l**4 + 20755263*l + 360*l**2 as b*l**3 + q*l + j + i*l**2 + r*l**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3835 + 17515 + i - 4534 - 4461 - 3888.\nAnswer: i + 797","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*-5 + -2*sqrt(132)*-3)\/(-6*sqrt(48) + 1*sqrt(192))*-4.\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2898*l**2*u + 15*l**2 - 86 wrt u.\nAnswer: 2898*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**3 + 9*a**3 - 2*a**3 + (37*a - 590 + 590)*(3*a**2 + 2*a**2 - 3*a**2) as l + v*a + u*a**3 + o*a**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -5) + -9 - (-10 + (0 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104550 - 2716.\nAnswer: -107266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*s + 38 + 30 = 0, 3*o - 83 = 2*s. Solve -4*g + o = 3*d, -6 = -3*g + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*i*q**3 + 74818016*a**2*i*q - 2*a*i*q + 8*i*q**2 + 2279998*q**3 wrt a?\nAnswer: -4*i*q**3 + 149636032*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 3 + k + 39.\nAnswer: 3*k + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10468 and -225.\nAnswer: -10693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/14 + 50510\/105. Let k = -491 + o. Let c = k - -28\/3. Which is bigger: -0.2 or c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + ((-6 + 3 - -2) + -14 - (-93 + -7)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 196*d**3 + 230*d**3 - 5.\nAnswer: 34*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from qzkps.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*z - 158 + 75 + 18*z + 34*z + 83 + 7*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2235298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, f: 1}. What is prob of sequence ooof?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 + 0*z - 4*z**3 - 13 - z. Suppose -28*m - 21 = -21*m. Let x(l) = -8*l - 24. Let y be x(m). What is v(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028 take away 3?\nAnswer: -3.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*x**3 + 193*x**3 - 38*x**3 + 204*x**3 - 2 + 2 - 2*x**3 + (0 + 0 - 2*x)*(3*x**2 - 5*x**2 + 3*x**2).\nAnswer: 323*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3)*18)\/(10\/30)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 18 = 0, -21*s + 6586 = -19*s - 2*i. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16521, -66085, -148689, -264333, -413017, -594741?\n\"Answer: -16520*o**2 - 4*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - 1037\/(-51))*4\/(-14)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**4 - 181*s**2 + 4*s + 18.\nAnswer: -36*s**2 - 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.3 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-16)*d*d*d\/d**(-10)*d*d\/((d\/((d\/((d**(1\/5)\/d)\/d))\/d))\/d)*d*d\/d**(1\/2))**(2\/7) assuming d is positive.\nAnswer: d**(23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8928)\/868)\/((-3)\/(-7)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5 = t - 4, 0 = -i - 4*t - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + -89.998. Let k = -0.098 - f. Which is greater: k or -11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -25*c**3 - 2*c**2 + 4*c + 8. What is d(2)?\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-468)\/84)\/(-13)*(-5)\/(-15)*-1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-28)\/3))\/((-24384)\/(-14224))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 9*s**2 - s - 18. Let j be g(-9). Let q be j\/24 + 150\/320. Sort 5, 1, q in decreasing order.\nAnswer: 5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((34\/595)\/((-3)\/45))\/(38\/2128)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**19*u*u*u)\/u*u)\/u)\/(u*u\/((u*u**(-2\/65))\/u)) assuming u is positive.\nAnswer: u**(1233\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 43210 (base 7) to base 13\nAnswer: 4b70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 144?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*j**2 - 2*j**3 - 2252*j + 1121*j + 1133*j + 2 to b*j + a + x*j**3 + q*j**2 and give q.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-2\/77)\/k*k*k*k\/(k**(-11\/6)\/k) assuming k is positive.\nAnswer: k**(2683\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -231773 - 56?\nAnswer: -2317c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202 (base 5) in base 10?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20*(-3)\/(-48)*4. Suppose -36 = f*r - 151. Let y = 46 + r. What are the prime factors of y?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-405)\/6)\/27*6336\/120.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Let z = -3 + 5. Suppose 0 = -w*f, -2*f = 5*m - z*m + 348000. What is m rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 4 - 3 + 1 + 3*f**2. What are the prime factors of t(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107296 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -377\/34 and -10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1315, -1134, -7745, -20594, -41757, -73310, -117329, -175890?\nAnswer: -251069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.027? (a) 9\/7 (b) 164 (c) 137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 1 + (3*sqrt(21))\/sqrt(7))*5)**2.\nAnswer: 650*sqrt(3) + 12700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 3288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m**(-1\/2)\/m)\/m)\/m)\/(m*m\/(m\/m**(-5)*m)*m))\/(m**6*m\/((m\/((m*m**1*m)\/m))\/m)) assuming m is positive.\nAnswer: m**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -39 + 2\/(-4)*2. Calculate the common denominator of (-4380)\/72*6\/u and -67\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -790 - -796. Let i = -57 + 81. Calculate the highest common factor of o and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 1. Let x be h(9). Suppose 2*z + 2 = x. Suppose -7*m + 13 = -j - z*m, 0 = 4*j + 2*m - 20. Solve -3*s + 6 = 0, 4*u - 16 = -j*s + s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45259 + 45259 + 389595*p**2.\nAnswer: 389595*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 1. Let d(h) = h. Let g(k) = -2*k - 5 - 2 + 6. Let q(y) = d(y) + g(y). What is q(j) - 3*x(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*c = -19, -27 + 2 = r + 5*c. Let a(b) = 7*b**2 + b - 1. Let o be a(-1). Are r and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/18*(-2)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5375297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0*t + 15. Let g(v) = v + 20. Let l be g(t). Let y be (-4)\/(-14) - 10\/l. Solve 5*q - 5*h = -5, y = -3*q - q - 5*h - 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50.7 and -0.31.\nAnswer: 15.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a5452 (base 12) to base 16.\nAnswer: 1a163e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/17885 - -518713\/429240. What is the common denominator of y and 139\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43651, 87377, 131105, 174835?\nAnswer: 218567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -82*n + 25. Let s(y) = 16*y - 5. What is 11*s(t) + 2*x(t)?\nAnswer: 12*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3124 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 83576.85 micrometers in centimeters?\nAnswer: 8.357685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*q = -643 + 665, n - 3 = q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 8514750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*t = -79*t + 20. Let d(c) be the first derivative of 0*c - 2 - 7\/3*c**3 + 0*c**t. Let w(x) = 2*x. Determine d(w(u)).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 7. Let d be p(-7). Suppose -6*c + 9*c - 150 = d. Calculate the greatest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/20)\/(2\/(-4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13643, 33063, 58259, 89231, 125979, 168503, 216803?\n\"Answer: 2888*j**2 + 10756*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**4\/24 + i**3\/2 - 51*i**2. Determine h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1. Let h(c) = -c**3 - 2*c - 2. Let y be h(-2). Suppose -y*p + 7*p = 6. What is the third biggest value in i, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*l - 20 = -5*f, -2*f = -5*l - 20. Suppose a = -4*a + f. Solve 4*o = a*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418698011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6381.394 nanometers in millimeters?\nAnswer: 0.006381394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*p - 2864 = 0, 2148 = 2*d + d + 2*p. List the prime factors of d.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/13 or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1376 - -1499.3. Let m = -1.3 + c. Let u = -121.51 + m. Round u to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**5\/30 - 3*r**4\/4 - 5*r**3\/6 + 879*r**2. What is i(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -77*o**5\/20 + 39*o**2\/2 - o + 3. Differentiate n(m) wrt m.\nAnswer: -231*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -526.1687 less than 162.9?\nAnswer: 689.0687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/58640 and 71\/160.\nAnswer: 117280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:13 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -41. Let l(f) be the second derivative of -f**3\/6 - 2*f. Determine l(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -150 - -4?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0*r + 0*r**4 - 8\/3*r**3 + 0 + 7*r**2 - 7\/20*r**5. Differentiate s(y) with respect to y.\nAnswer: -42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (465\/12648)\/(((-105)\/(-28))\/3)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*c, 3*d = 6*d - 5*c + 292. Calculate the common denominator of (-5)\/(-80)*(d + 0) and 4\/90*395\/(-4).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1150 by 6.\nAnswer: 575\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (27\/(-12))\/(1 + 11\/(-8)). Suppose 13*u - 868 = j*u. Calculate the greatest common divisor of u and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27276.4 - 27276. Which is the fifth smallest value? (a) -3 (b) 4 (c) -3\/64 (d) j (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5275*o + 928*o + 12406*o + 1601*o in the form u*o + f and give u.\nAnswer: 20210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20342 - -20366) + (-1 - (-40 - -1))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 2*z + 34289 - 17127 - 17162 - 12*z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 414 (base 7) to base 5\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101102 (base 3) to base 5.\nAnswer: -23424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*x + 30. Let y = x - 0. What is the units digit of ((-1)\/y)\/((-1)\/(-56))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 483908?\nAnswer: 1\/120977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -344?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32699, 32486, 32273, 32060?\n\"Answer: -213*s + 32912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4560730 and 69870.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 6741.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 87. Calculate z(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdd when three letters picked without replacement from {w: 1, d: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z + 2*z)*(-71*z + 71*z - 10*z**2).\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -35*d + 120. Let g(m) be the third derivative of 0 + 0*m - 1\/6*m**d - 1\/240*m**5 - 1\/24*m**4 - 11*m**2. Suppose g(c) = 0. What is c?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5271 - 43.1271. Which is the third smallest value? (a) 1 (b) 4\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3203980419?\nAnswer: 3, 1067993473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13.9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*a + 56, -z + 3*a = 2*a + 7. Let y(m) = 2*m**2 + 2*m - 20. What is the tens digit of y(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883648849 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46361964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4373675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/27)\/(b\/b**(-2)))**(-18\/5))**(8\/7) assuming b is positive.\nAnswer: b**(1328\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 2\/9, -1\/14, 11\/7, -1\/2, -2\/9?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -754 divided by 258599\nAnswer: -754\/258599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.82 and 0.1019?\nAnswer: 0.694958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 30426.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/10*(-36)\/(-18).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141786, -283455, -425124, -566799, -708486, -850191, -991920, -1133679?\nAnswer: -1275474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1110 - -25253?\nAnswer: 24143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1058 - -1869. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 5\/13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z**2 + 5*z**2 - 2*z**2)*(205*z**2 - 460*z**2 + 1746*z**2).\nAnswer: 1491*z**4 - 1491*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -52969110 divided by -187170\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2423*l + 5154*l + 744 - 744.\nAnswer: 7577*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from ubbqbubduqqqbquu.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542844 is divided by 539132?\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50730 and 2820?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3 + 2*w**4 - 3*w**5 - 3*w**3 - 8*w**4 + 2*w**3 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -11*t**2 + 35*t + 68. Calculate m(-6).\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -k + 8240, 13432 = -3*k - 7*p + 38230. List the prime factors of k.\nAnswer: 2, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/8 and 1 + 236\/96 + 2\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -1219 + 114. Let a = -222 + z. Which is bigger: a or -2\/289?\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/22*-2 + (-1798)\/(-6138))*-2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/384 and 75\/2401616.\nAnswer: 57638784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 640\/(-256) - 4\/((-3)\/3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -2\/7, -4, 1850, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9870491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1220 + 10?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703244 is divided by 336?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - -6 - 8) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/4 in -7, 5, -28?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -57893, 1\/8, -3, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21259, -0.3, -14 in increasing order.\nAnswer: -14, -0.3, 21259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-136)\/(-14) + (-4)\/(-14). Let v(m) = m**3 - 10*m**2 + m - 11. Let l be v(u). Sort -4, 2, l.\nAnswer: -4, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6928519.\nAnswer: 13, 449, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 6*d + 16. Let f be z(-8). Is (-4 + f + 210)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2661586173.\nAnswer: 3, 2731, 108287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3890 * -0.3.\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 7:19 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 5*v - 3. Let x be p(-3). Suppose 2616 = 3*a + a + 4*h, x*h - 664 = -a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbrbburbbubbkbybbxbk. Give prob of picking 2 b.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2\/5 + 1621227*k\/5 - 1621226\/5 = 0?\nAnswer: 1, 1621226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84.42 + -84.4. What is the fourth smallest value in 0.4, -5\/4, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 4. Let q be d(6). Suppose 0 = r + r - 6. What are the prime factors of 3*(q - r)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -684 divided by -6\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*z - 10, -z + 6*z = 4*u + 17. Let g(h) = h**3 - h. What is g(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laxllllxxlalx. What is prob of picking 3 l?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**4 + 5*t**3 + 0*t**4 + 2*t**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 22\/9 of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*-39*(-3)\/27. Suppose 77 = w + q. Calculate the greatest common divisor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2559 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7689\/5 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 97 + -6c97?\nAnswer: -6c00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 - 3*i - 2. Let c(s) = -7*s**2 + 9*s + 7. Let g(p) = -8*p**2 + 9*p + 7. Let t(j) = 5*c(j) - 6*g(j). Determine -2*t(q) + 7*v(q).\nAnswer: 2*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnjj when four letters picked without replacement from rnjjnnznnwjnnznjjw.\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 c, and 2 p when four letters picked without replacement from {a: 2, p: 7, c: 9}.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/10 and -55\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - d - 1. Let s(h) = 5*h**3 - 4*h - 66. Determine s(q) - 4*x(q).\nAnswer: q**3 - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 381 - 4*q**2 - 310 + 497 + 292 + 856*q + 0*q**2 = 0.\nAnswer: -1, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 27*s = -54. Let n(p) = p**3 - 9*p**2 + 7*p + 3. Let f be n(8). Let g = f + 13. Solve g = 6*b - s*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.595663 litres?\nAnswer: 2595.663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-10)\/x**(1\/4)*(x\/(x*(x**8*x)\/x))\/(x\/(x**(-11)*x)*x) assuming x is positive.\nAnswer: x**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1247*y + 1290*y - 17356907 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9102.799ug in tonnes?\nAnswer: 0.000000009102799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35726 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13402 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -1, -5, 1, 5, -3, -133 in descending order.\nAnswer: 28, 5, 1, -1, -3, -5, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, w: 2, h: 2}. What is prob of picking 1 h and 1 k?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1867.3 + 1867.33. What is the second biggest value in -1\/4, p, 1\/2, -0.01, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyywgyyyyyyyvylg. What is prob of sequence yw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16032, -29294, -42556, -55818, -69080?\nAnswer: -82342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18764?\nAnswer: 2, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-474)\/20*(-8)\/(-216)*-15 and -19\/110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1b4?\nAnswer: -1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 150721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 404 - 400 = 2*k + 2*k, 5*k - 5 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.4333268 to 2 dps.\nAnswer: 112.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -53. Suppose -3*q + r = -r - 387, -3*q + 3*r + 387 = w. List the prime factors of q.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8036, -8021, -7990, -7937, -7856, -7741, -7586, -7385?\n\"Answer: j**3 + 2*j**2 + 2*j - 8041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11 - -10)*(-1 + 2). Let y = 1565 - 98597\/63. Is j bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, f: 2, y: 3, b: 2}. Give prob of sequence ff.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1101.8 - 1102.2. Let j = -8 + 3. Let c = j + 5.3. What is the closest to -2\/7 in n, c, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-3) - 5 - -1. Is 4 a factor of z - 1 - (-46 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5523, 11054, 16589, 22128?\n\"Answer: 2*v**2 + 5525*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 10:36 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3435\/(-6) - (-1)\/(-2). Calculate the remainder when d\/(-27) - 2\/9 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*d**4 + 570*d**3 + 1571*d**2 + 856*d + 132.\nAnswer: -(d - 66)*(d + 2)*(3*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 774 - 794.72. What is d rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19295010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -123936 divided by 5164?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 11. Let g(s) = s - 10. Calculate -6*g(z) - 5*m(z).\nAnswer: -z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5345*m + 55 + 2668*m + 2664*m to the form a*m + s and give s.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, z: 1, e: 11}. Give prob of picking 1 z and 3 e.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 2407 = -7103. Is 162 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**6\/20 + z**3\/2 - 7*z**2\/2 + 6. Let i(k) be the second derivative of r(k). What is the derivative of i(b) wrt b?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1898 + 1919. Let d be -4 + 1 - -1 - -517. Calculate the remainder when (2 + -4)\/((-10)\/d) is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 194.91 - 196. Let w = c - -3.09. Let h = 16 - 11. Is h >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 10:26 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 46 + 1. Let k = 27 - 21. What is the smallest common multiple of a and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwewwee?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-2 - -3))\/1. Is 14*(n - -3 - 0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 6*j. Let h(q) = 12*q + 89. Let f be h(-7). Calculate g(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5208.205 kilometers in centimeters?\nAnswer: 520820500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 10 = 2*o. Let i be ((-98)\/14)\/(3\/(-6)). Suppose 9*j - i*j = -40. Is j >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -8*f + 20. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) 2 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.353282km?\nAnswer: 1353282000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72737.45ug to tonnes.\nAnswer: 0.00000007273745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/(r**(-5\/7)*r))**(-13\/2)\/((((((r\/r**1)\/r)\/r)\/r)\/r)**(-1\/32)*(r*(r*(r\/(r*(r*r**(1\/4)\/r*r)\/r))\/r)\/r*r)\/(r\/(r**(-2)*r))) assuming r is positive.\nAnswer: r**(-1289\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4*s + 8 = 0, -5*s - 67 = 3*j - 33 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787994?\nAnswer: 2, 393997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/16 + (-3994361)\/79688.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -53*n - 2. Suppose 73*z - 1175 = 26*z. Let a(i) = -1 + 1 - 46*i + 19*i + z*i. Determine a(p(x)).\nAnswer: 106*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20840107 + -6540107. Round b to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13889 and -16?\nAnswer: 222224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 - 2703.\nAnswer: -2702.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Let b(g) = g**2 - 2*g - 1. Let l be b(2). Let j = 3 - l. Let k(x) = -x + 2. Let f(a) = 2*a - 5. Let u(t) = j*f(t) + 10*k(t). What is u(m(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47486 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 21*n. Let y(r) = -16*r - 18 + 50 - 19 - 13. Determine y(g(w)).\nAnswer: -336*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (1 - (-75)\/(-45))\/((-1)\/315)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/12589 or -1?\nAnswer: 8\/12589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**7\/210 + t**5\/60 - t**2\/2 + 3. Let f(g) be the second derivative of p(g). What is the third derivative of f(n) wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdxibsi. Give prob of picking 1 i and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/3 + 50*n**2\/3 + 16*n = 0 for n.\nAnswer: -24, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.55061 take away 3.4123119?\nAnswer: 3.1382981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + 2. Let l = d - 45.99. Round l to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 555 + 563 = 0. Suppose -b + 6*b + 5*s - 95 = 0, -b - x*s = -24. What is the remainder when 24 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.15 - 22. Let a = i - -1. Let r = a - 0.65. Put 0.1, -0.06, r in increasing order.\nAnswer: r, -0.06, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 317 + -4?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3834544500 to the nearest 1000000.\nAnswer: 3835000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8469469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) - -3*sqrt(68)*1 - sqrt(68)))) - sqrt(68))\/(sqrt(24)\/sqrt(54)).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 345192957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1069*w**2 - 1070*w**2 + 2139*w**2 + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 468 divided by 9\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4081\/2 - 2040. What is the closest to 59 in 1, k, -1.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 72698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o = 24*o + 5*o + 273 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4174418.999964 + 4174439. Let j = 20 - m. What is j rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000792779809 rounded to 7 decimal places?\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 77\/21 + (-2)\/(-6). Suppose r - 10 = 2*r + 5*t, 5*r + f*t = -8. Let u(z) = z**2 + z + 10. What is u(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120127461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4\/5 + 17502*i**3\/5 + 35001*i**2\/5 + 3500*i = 0.\nAnswer: -17500, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144711 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-5)*4\/((-8)\/(-30)*-5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 6*a - 12. Let c be l(-8). Suppose 0*y - 15 = 3*y + 2*v, 4*v = c*y + 20. Let m be (-4)\/(-20) + (-34)\/y. Let t(n) = n + 3. What is t(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(180) + -1 + -3)**2.\nAnswer: -48*sqrt(5) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 284507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 8*s + 19. Let u be a(5). Suppose -3*m + 5 = -k - 9, -u*k = 3*m - 4. What are the prime factors of (2\/m)\/(6\/1308) + -2?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 96.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 20*r**2 - 4 + 3 - 2*r - 6*r**2. Suppose -29 = w + 2*m + 66, 0 = -3*w + 2*m - 309. Let c = w - -100. Calculate a(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -119852899226.\nAnswer: -119852899221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*q - 8 - 18, -c - q = -1. Let j be (-1)\/(-8)*c*6. What is the second biggest value in j, -2, 2\/3, -2\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 68 + 206 = 0. Let n be (69\/u)\/(6\/(-20)). Suppose -132 = -n*g + 3*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*i - 3473427 = -3472675 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -3071, 138.\nAnswer: -3071, -1, 2, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1010111100011100100 (base 2) to base 14\nAnswer: 949a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 640 divided by -160\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -4*a + 2*y, 0 = 11*a + 4*y - y - 33 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -131 and -14027?\nAnswer: 13896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 453735\/26888 - (-4)\/((-64)\/6). Factor 1\/6*d**3 + 1089\/2*d + u*d**2 + 11979\/2.\nAnswer: (d + 33)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/6)\/(375\/50)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6685159 to the power of 1\/2, to the nearest integer?\nAnswer: 2586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5262 plus -45391?\nAnswer: -45389.4738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s + 52*s**2 - 4*s - 44*s**2 + (-3*s + 0*s + 4*s)*(s - s - s) + 3*s - s**2 - 3*s + 2*s**2 - 6*s**2 + 3*s**2 + 5*s**2 - 5*s**2 - s**2.\nAnswer: 4*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 525183019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 65 = -173. Let o(q) = -q**3 - 8*q**2 + 10*q + 4. Calculate o(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -761 or -819?\nAnswer: -819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 255413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 897.0597 seconds in microseconds?\nAnswer: 897059700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 3, 2, 0, 1, -2328 in ascending order.\nAnswer: -2328, -25, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -118 (b) 8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at least as big as -806\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-14))\/((-5)\/(-35)). Suppose o*a + 210 = 5*a. Suppose -4*w + 14 + a = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 0. Suppose 2*c - 4*y = -c + 9, -5*y + 15 = v*c. Let n be ((-8)\/2)\/1*-1. Which is bigger: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8112*n**2*s**2 - 33*n**2*s - 3*n*s**3 + 152*n*s + n + s**3 + s wrt s?\nAnswer: -16224*n**2 - 18*n*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 3*l**2 - 2*l + 6. Give z(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 16 = -1, 3*m - 3*v = -126. Let o = -25 - m. Find the second derivative of -x**4 + 9*x - o*x + 6*x - 23*x wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2566a (base 12) to base 13\nAnswer: 1a317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 2*d**2 + 3*d - 29. Let r be n(0). Let k = r - -46. What is the remainder when 50 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1974405 to 3 decimal places.\nAnswer: -1.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggr when four letters picked without replacement from {r: 3, g: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**2 - 861*l + 1644. Differentiate u(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793294 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.122 + 0.622. Which is the closest to -18? (a) t (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 3:48 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 20 = -6*v, 3*y - v - 4 = 0. Suppose y = -2*r + 5*m + 13, 0 = -5*r - 0*r + m - 2. Which is the third biggest value? (a) r (b) 2 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 131888 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -166, -149, -130, -109, -86, -61, -34?\n\"Answer: l**2 + 14*l - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 6, 17, 1\/2, 4, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 16*n**2 + 17. Let z be u(16). Let g = z + -16. Is -0.2 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 9. Let c be f(0). Suppose c*d = 16*d - 84. Let b(i) = 7*i - 2. What is the smallest common multiple of b(2) and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136132727*6.\nAnswer: -816796362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15314956217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7876 + -18502. Round w to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/(28\/(-10) + 3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4163 - 4160. Let g be ((-15)\/6)\/(4\/(-8)). Solve -g - o = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**5\/7 - 1803*y**4\/7 + 120903*y**3\/7 - 311707*y**2 + 572628*y - 1945548\/7 = 0?\nAnswer: 1, 33, 34, 1734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7565, 7496, 7411, 7292, 7121, 6880?\nAnswer: 6551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 + 53. Let b = 67.0059 + p. Round b to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 2)\/((-542520)\/(-2574) + -211).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000648891747 rounded to 5 decimal places?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 48 = 4*d, -2*d - 153*i + 155*i + 18 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 2*a**3\/3 - 9*a - 3. Let x(r) = 13*r. Give j(x(d)).\nAnswer: 52*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*d + 5*b - 116 = -36*d, -3*d - 122 = -4*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -379, -1666, -3825, -6868, -10807?\n\"Answer: -2*t**3 - 424*t**2 - t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 2*b**3\/3 + 9*b**2 + 3*b + 498. Give w(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v**2 - v - 17. Let u(o) = 14*o**2 - 2*o - 23. Give 2*i(s) - 3*u(s).\nAnswer: -26*s**2 + 4*s + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3719 divided by -925?\nAnswer: -3719\/925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8*(3 + -1). Let m = 31\/4 + -89\/12. Let z = -30 + 32. Which is the closest to m? (a) 3 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3616, -3613, -3600, -3571, -3520, -3441?\n\"Answer: k**3 - k**2 - k - 3615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360177310?\nAnswer: 2, 5, 36017731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21992543, -21992574, -21992607, -21992642, -21992679, -21992718?\n\"Answer: -r**2 - 28*r - 21992514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 20 = -7*l. What is the biggest value in 0.06, l, 0?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**2\/2 - 9*p - 4. Give z(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4749*b = 4752*b - 4, 3*n - 3*b = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i = 8. Let m = -36 + i. Let w be ((-21)\/m)\/(1\/(-2)). Which is the third smallest value? (a) w (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9060, -18911, -28760, -38607, -48452?\n\"Answer: z**2 - 9854*z + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1842 = 3*j, 4*s + 3*j = 881 + 925. What is the least common multiple of s and 456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((2 + sqrt(891) + 2)*-3 - (-3*(1 + sqrt(891)) + 3)) + -4) + 0)**2.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 7*r - 3. Calculate the remainder when 2\/3 - (-64)\/12 is divided by f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 1871886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 777 = -17*c + 54*c. Calculate the remainder when c is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(((-1)\/(-3))\/(17\/(-102)))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 289750267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 8) to base 12\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3069\/1210 - (-84)\/(-63)*(-9)\/(-5).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10111001110001?\nAnswer: 10111001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**4\/4 + 2619*k**3\/4 + 125106*k**2 - 258039*k - 1011252 = 0?\nAnswer: -163, -2, 4, 1034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308732?\nAnswer: 2, 3, 191, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -4. Let t(d) = -d**3 - 6*d**2 + 5*d + 2. Let u = -2 - -48. Calculate the remainder when u is divided by t(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*g - 142 = 0, 0 = v + g - 3*g - 76. What is the smallest common multiple of v and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38629.97384616 + 38630. Let d = 6.12611484 - r. Let k = 6.1 - d. Round k to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -db3750 (base 14) to base 11.\nAnswer: -4210807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 669*q + 74*q**5 - 1 - 343*q - 352*q wrt q?\nAnswer: 1480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13827.4t to grams.\nAnswer: 13827400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 91*n - 48*n + 26 - 47*n. Determine t(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3513*p**2 - 131*p**2 - 3104*p**2.\nAnswer: -6748*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2137008*i**3 + 2739624*i**2 - 645099*i + 42483.\nAnswer: -3*(i - 1)*(844*i - 119)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 minus 126739197483?\nAnswer: -126739197482.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -12, -47, -126, -261, -464, -747?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12*g + 324. Let k be j(27). Solve -2*u + 8 = -k*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**5\/10 - 29*l**4\/3 + 55*l**3\/3 + 114*l**2 - 644*l. Solve h(y) = 0.\nAnswer: -1, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 625371, 1250563, 1875755, 2500947, 3126139?\n\"Answer: 625192*d + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276786 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, 23, 45, 83, 143?\n\"Answer: r**3 - r**2 + 8*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3060500923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 43*o**2 + 72*o - 275. What is the hundreds digit of z(43)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43 + -36 + 285*7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 + 39*y - 66. Does 3 divide z(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*x + 26 = 344, p - 2*x = 317. What is the remainder when p is divided by 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, p: 2, z: 5}. Give prob of picking 1 o and 3 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g = -14. Suppose 55 = 5*y + 5*a, 48 = 4*y - 2*a - 14. Let b = y - g. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5365\/6 + 884. Find the common denominator of 41\/5 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t - 112. Let y be v(-16). What is the tens digit of (y - (-1578)\/(-9))*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*v = 0, 3*v + v = -5*s + 3. Suppose 821879 + 1998121 = s*y. Round y to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.466 and 229 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8914779 meters to millimeters.\nAnswer: 891.4779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 9. Let q be (-2)\/(-2) - u*11. Suppose -5*h = q - 144. What is the lowest common multiple of 8 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + (-46)\/(-6))*(-26910)\/(-276). Let u = b - -441. List the prime factors of u.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18 - -8)*(-2)\/5. Let q be m\/(-6) - (-33)\/9*1. Sort -4, q, -9, -2 in decreasing order.\nAnswer: q, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccycccccccccc?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**5\/20 - 7*t**4\/12 - 4*t**3\/3 - 3*t**2 + 26*t - 105. Let f(d) be the first derivative of a(d). Give f(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.1, 1, 5 in increasing order.\nAnswer: -0.1, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 4)*(-2 - 1 + 4) + (1 - 4 + 2)*(48 + 32 - 24))*(-46 + 3*x**3 + 46).\nAnswer: -177*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18676 and 19642?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:47 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -124 and 101.\nAnswer: -12524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6960 and 4696.\nAnswer: 4085520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*k**2 - 10*k**3 + 44*k**2 + 47*k**2 + 55*k**2.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 23*t = 94, 75*t - 77*t - 13 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 97 divided by 69\nAnswer: 97\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x. Let a be x + (35 - (-4)\/2). Suppose -3*v = -4*v + a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/380819?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 11. Calculate s(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**2 - 26*k + 26*k.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 0*h - h**3 + h + 18 - 17. Let g(n) = 53*n**4 - 2*n**3 - 17*n + 3. Let r(o) = -2*b(o) + g(o). What is the second derivative of r(q) wrt q?\nAnswer: 636*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 8. Let o be s(6). Let q = -29 - -19. Let x = q + 8. Which is the closest to x? (a) o (b) 0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -644c (base 16) to base 7\nAnswer: -134600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/4? (a) -4\/3 (b) -0.2 (c) 0.04 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12663 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7)*1 - (-3*sqrt(700) - sqrt(700)).\nAnswer: 2 + 41*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 2*r**2 + 1. Let y be o(-2). Let k = -6 + y. Let d(s) be the first derivative of s**3\/3 + 4*s**2 + 5*s - 4. Give d(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 1)*(-4*h + h + 4*h)*(7*h - 9*h - 13*h) to the form c*h + b*h**2 + z and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 11:48 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2. Let v(z) be the second derivative of z**5\/40 + 10*z**3\/3 - 16*z. Let k(f) be the second derivative of v(f). What is n(k(s))?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - a + 2 + 5)*(5*a**2 - 22*a**2 - 115*a**2).\nAnswer: 132*a**3 - 264*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1142 = -455*l - 61*l + 4018 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (34 - (-29 + 19 + 48)) + -97\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888825.6 centuries to months.\nAnswer: 1066590720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1186290 divided by -26362\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 172 - 540 = 0. Let u = -104 - d. What is the remainder when u is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55509957?\nAnswer: 3, 6167773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31820 - 0.1171125977.\nAnswer: 31819.8828874023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -545*w - 7 - 10 + 668*w - 708*w to the form v*w + l and give v.\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 12:04 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**20)\/v**(-12)*v**19*v*v**(2\/27) assuming v is positive.\nAnswer: v**(1433\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 - 22*z + 75. Let y be d(3). Let o = 544 - y. What are the prime factors of o?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 24 + k + 2*k + 52.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-5) + 252\/(-30)*6. Let n = -33 - c. What is the smallest common multiple of n and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 12*a - 7. Let q(l) = -l**2 + 23*l - 12. Calculate 5*m(z) - 3*q(z).\nAnswer: -2*z**2 - 9*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.01 - -0.01. Let b = m + 3.84. What is b rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(w**5 + 5*w**5 - 3*w**5) - 6*w**5 + 8165*w**3 - 8155*w**3 - 8*w + 2*w + 2*w**5 + w**4 - w**4.\nAnswer: -7*w**5 + 10*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 5*x**2 - 2*x + 1. Suppose 0 = 29*d - 165 - 38. Is 18 a factor of m(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 2111?\nAnswer: 2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 1 - 1 - 2)*(6*o - o + 5*o) in the form f*o + r + z*o**2 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4, 15 in decreasing order.\nAnswer: 15, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8352499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -52*o - 4. What is l(-2)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-4)*-1*(-3)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4\/4 - 3*p**2\/2 - 2. What is the second derivative of u(z) wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 0*s**2 + 0*s**3 + 0 + 2*s - 1\/48*s**4. Find d, given that m(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - -84. Find the second derivative of u*a**2 - 124*a**3 + 123*a**3 + 6*a + 32*a + 46*a wrt a.\nAnswer: -6*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 0 (b) 1 (c) 39348 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 3. Let u(s) = -2*s**2 - 5*s - 4. Let h be u(-3). Let m be n(h). Solve f - 8*y = -3*y + m, -2*f - 3*y = 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**2 - 2*k - 8. List 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 1 times 8.317774?\nAnswer: 8.317774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/10 + 6\/(-15). Let g be ((-18)\/(-8))\/(-1 + 15\/12). Let y = g + r. Put -1, y, -4 in increasing order.\nAnswer: -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 8. Let n be m(4). Suppose 3*w + 59 = n*w. Is w 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 6397259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*f - 156*f - 4*f**2 + 2*f**2 + 244*f - 44*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 12:22 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -24. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + (sqrt(68) + sqrt(68) + 1 - sqrt(68)) + -4 + 0)*-6)**2.\nAnswer: -20736*sqrt(17) + 108864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {s: 1, y: 4, x: 3, v: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3195, 3194, 3193, 3192?\n\"Answer: -c + 3196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -371473705880.\nAnswer: -371473705880.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1566 and 191400.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268829*l**2*y**3 + 211*l*y**3 + 86*y**3 wrt l.\nAnswer: 537658*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.06. Let f = 7569 - 7574. Which is the biggest value? (a) -3 (b) 0.5 (c) f (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-12))\/((-3045)\/(-10962)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 6572 + 6540 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o + 5 + 9*o + 4*o + 4 - 2 in the form h + t*o and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/12)\/((-45)\/936) - 5. Is y less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (47\/(6345\/(-1782)))\/((-9)\/15)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231030 divided by -10?\nAnswer: -23103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6543.544 millennia to years.\nAnswer: 6543544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*o = -3*o - 1922, -2*o - 2411 = -5*f. Let h be 1*2 - -8*(-120)\/f. Let v be (1 - 0)*-1*5. What is the biggest value in v, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-4)*(-6)\/5. Let j be 4\/18 - (-16)\/n. Let x(h) = 2*h - 2 - h**j + 5 + h. Give x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q**5 - 47044*q**4 + 149264*q**3 - 25584*q**2 = 0.\nAnswer: 0, 2\/11, 3, 1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d - 27*d - 4 - 35*d - 7 - 12.\nAnswer: -43*d - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4551833 and 7228.\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5578709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9605 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 7. Give k(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -1\/7 (c) 3\/5 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 10:56 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*q + 12 = 170*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/2 + -41\/18. What is the third biggest value in -2, b, -4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 16 = -15*f. Let n be (0 - -4)\/(f\/(-6)). Let k be 5 - (-4)\/(n\/25095). What is k rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*x = -80, -7*x + 103 - 167 = -4*w. Let o be (2\/12)\/(2\/8). Put 34, o, w, 5 in ascending order.\nAnswer: w, o, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10386 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4389290?\nAnswer: 2, 5, 31, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24436\/3 + 8142. Let w = 10 - 6. What is the third smallest value in w, n, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i + 45 - 45.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 211649 and -5.\nAnswer: -1058245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 357774077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-2)*(-32)\/40. Suppose -k - 13 = -p*k. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 12) in base 8?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1559 + 1562. Let f(d) = -4*d - 3 + 3*d + d**3 - 2*d. Determine f(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-49)\/14 - 882\/(-28). Solve -5*y - 3*j + t = 0, 3*j - 23 = -4*y - 0*j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -0.1 (b) -71 (c) 446\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 - 109*c**2 + 109*c**2)*(c - 2*c - 2*c)*(3 + 1 - 2).\nAnswer: 18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 3:18 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 o when three letters picked without replacement from oqueueuoueqqnq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -936.68 - -971. Let z = p + -36. What is z rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 10) + 1 + 5 + -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 343791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.062*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**3 + 792*x**2 - 4*x - 52. Calculate r(-132).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i - 17. Determine j(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**2 - 181*t - 80. Calculate the common denominator of 37\/1285 and j(-45).\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(98) + sqrt(98) + 0)*-3)**2*-3 - ((1 + sqrt(98))*3 + sqrt(98) - (sqrt(98) - (sqrt(98) + -1 + sqrt(98)))*4)**2).\nAnswer: -16859 + 112*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/37601, -0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 7*t**3 + 41*t**2 - 33*t.\nAnswer: -t*(t - 3)*(t - 1)*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:05 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l. Let r(g) be the first derivative of -1 + 0*g + 0*g**3 + g**2 - 1\/24*g**4. Let h(m) be the second derivative of r(m). Give s(h(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 16*k**2 - k - 18. Let q be f(-16). Let c be q\/3*(-45)\/6. What is the nearest to -1 in 0, -3, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 15*l**2 - l + 17. Let o be m(15). Suppose -o*c = -0*c - 0*c. Solve w - 2*q - 6 = c, -2*q = 5*w - 0*q + 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -34, -72, -126, -196?\n\"Answer: -8*o**2 + 2*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t**7)**(-2\/103) assuming t is positive.\nAnswer: t**(-12\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/4495339 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 30008.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-245)\/(-180))\/((-20)\/(-6)) and 137\/12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(25\/(-375))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q\/q**(-10))\/q*q)\/q*q)\/q**(11\/4))\/((q**15*q)\/q*q**(-1\/3)\/q) assuming q is positive.\nAnswer: q**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.702 minus 0.01?\nAnswer: 52.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10748?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 5*f**2 + f**2 + (0 + 2*f + 0)*(-4825 + 2327 + 1966)*(-2*f + 0 + 2 - 9).\nAnswer: 2127*f**2 + 7448*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1113, 1110, 1109, 1110, 1113, 1118, 1125?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 6*d = -2*d - 7, -8 = -4*a - 2*d. Suppose -5*m + m = -a*m. Suppose 36 + m = 2*s. Calculate the remainder when s is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -8409282?\nAnswer: -17\/8409282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303349104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/81*3)\/(14\/(-14)*1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 7. Solve -2*c = -4*w - r*w - 6, -w + 11 = -3*c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20451 smaller than 20450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -33. Let z = p - -58. What is the remainder when z is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 872129 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1843287, -1843286, -1843285, -1843284?\nAnswer: -1843283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2 - 4\/3*r + 0 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 12, n: 6, h: 1}. What is prob of picking 2 l?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/10*(-1)\/(-3). Let s = 1.5 + -6.5. Let h = 5.2 + s. What is the third biggest value in l, h, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -2*n**2 + 1\/24*n**4 + 0*n + 0 - 1\/6*n**3 - 1\/60*n**5. Let b(x) = -3*x**2 + 3*x - 4. Calculate 4*b(t) - 14*y(t).\nAnswer: 2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60311 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 12:12 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 - 248 = -5*o. Suppose -2*d - d + v + o = 0, -2*d + 3*v + 43 = 0. Solve -2*f + d = -4*u, 2*f = 4*f - 3*u - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -73\/15904 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 59*f + 501. What is the remainder when 523 is divided by c(-7)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*(-2)\/(-4) + 2. Let j be m\/(-4)*(8 - 10) + 3. Suppose -j*s - 4*y = -6 - 20, 2*s - y - 6 = 0. Solve -s*u = -17 - 3, 5*p + 2*u - 13 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 127229588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 4:24 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 123*p + 374. Determine x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86\/147 + 4\/49. Let j = -120 + 118. Which is the closest to g? (a) -2\/3 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 20 = 5*c, 3*c + 35 = 8*c - 5*s. Which is greater: 42\/13 or c?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17403215803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(63) + 1)*-5)**2.\nAnswer: 270*sqrt(7) + 1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6317507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.035 + -0.965. Which is the closest to l? (a) -2\/11 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11735, 11713, 11691?\nAnswer: 11669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-3561204\nAnswer: 4273444.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3237 and 3308463.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 v, and 2 z when four letters picked without replacement from {k: 2, z: 2, r: 10, s: 1, v: 3, j: 2}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Factor 2 - 6*z**3 - 6*z**2 - 2*z - 2 - h*z**4.\nAnswer: -2*z*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/10368 and -11\/2828736?\nAnswer: 16972416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.87817 centimeters in meters?\nAnswer: 0.8887817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umyaumwywmgm. Give prob of sequence gyay.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/(-6))\/(52\/(-299)). Let k be ((-2)\/18)\/(8\/1434). Let p = v - k. Which is greater: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1271*f**3 - f**2 + 192*f + 35019167.\nAnswer: 3813*f**2 - 2*f + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(252) + 5 + -4)*-5 + -5 + 0) + 1.\nAnswer: -180*sqrt(7) - 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12)\/(((-931)\/(-513))\/(-7))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/48053?\nAnswer: 1\/48053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.9 - -10. Let r = -596 + 595.7. What is the third biggest value in b, r, 3, -6\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -52, 1\/32, -0.4?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*m - 13, 4*m = 2*h - 14 - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -11 - 20. What is the remainder when a is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -54, 2, 13, -2.\nAnswer: -54, -2, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/5 - 6*m**3\/5 + 810*m**2 - 13250*m.\nAnswer: -2*m*(m - 25)**2*(m + 53)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*x - 2*x - 911 = 0, 5*x - 25 = 0. Calculate the greatest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1042 - -1048. Let l be (-2)\/(-5) - 52\/(-20). Solve m*j - l = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3290 - 3290.1. Which is the closest to -2? (a) -8\/15 (b) -2\/11 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 20*j + 13. Let s be t(4). Let i = 48 - s. Let l = i - -49. Solve 5*r + n - 28 = 0, r - l*n + 22 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1553622 + 45088.\nAnswer: 45087.8446378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/3, -235, -99, -2\/57?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017 divided by -3?\nAnswer: -2017\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6721*j - 6717*j = 50268. Does 71 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/8*(-20)\/(-5). What is the units digit of (m - 90\/(-12))\/(2\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9*c - 13. Let m be i(-2). Let w(l) = -4*l**2 + 0*l**2 + m*l - 5*l. Let y(p) = p**2. Determine w(y(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(104)*-5 + sqrt(104) + sqrt(104)*2*2)\/(3*sqrt(72) - sqrt(8) - sqrt(648)*-1).\nAnswer: 15*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684)*-4 - sqrt(190)\/((sqrt(10) - (sqrt(10) - sqrt(40)\/sqrt(4))) + sqrt(10)).\nAnswer: -49*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028414297 to six decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 4*c - 41. Let h be (-10)\/c - (-728)\/20. Suppose -4*n = -2*n - h. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*p = 81 - 29, 4*p - 8 = 0. Sort -5, 1, g, 3 in ascending order.\nAnswer: g, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1026100 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-2) - (-16 - -10). Let y = -145 + 149. What is the third derivative of -9*b**2 - 10*b**2 + 13*b**y - f*b**2 wrt b?\nAnswer: 312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/186007?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44208 is divided by 3395?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/29 - -91\/319. Put k, 4, -5, -10 in decreasing order.\nAnswer: 4, k, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44850\/1450 + -10 + -21.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -60, -154, -290, -468, -688?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 32. Let s be 4*(-1)\/2 - -53. Let v = f + s. Solve -23 = -4*t + 3*b, -b + 2*b = 2*t - v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2750, 2743, 2714, 2651, 2542?\nAnswer: 2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065 (base 16) in base 4?\nAnswer: -1001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 26 = 4*x - 8*x, 10 = 5*c. Let k(l) = l**3 + 6*l**2 - l - 1. Let q be k(x). Let h = 16 - 6. Solve -2*b - 4*j = 3*b - h, -5*b = q*j - 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.651094km to centimeters.\nAnswer: 165109.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**6\/120 - 17*z**5\/60 - 17*z**4\/24 - z**3\/6 - 37*z**2. Let n = 36 - 18. Calculate the remainder when 83 is divided by q(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 27*g - 7*g - g**2 - 52 + 1. Calculate the remainder when k(13) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p - 10*p - 18. Let k be 7 + 0 - (-13 + 8 - -9). Solve -3*b + p*q = 24, b - k*b = 4*q - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1600 divided by 10\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 47 (b) 0.5 (c) -42.6 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 125*r + 1362. What is b(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 35*b**4\/12 - 26*b**3\/3 - 8*b**2 - 2. Differentiate s(w) wrt w.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to 84743590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 2*l + 1\/3*l**3 + 0 - 319\/20*l**5 + 1\/2*l**2 + 1\/6*l**4. Let f be h(-1). Round f to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2*10))\/((-45)\/75)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - -2*sqrt(112)*-2)\/sqrt(4)*5.\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/24)\/(9\/(-16)))\/(24\/(-162))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 232\/(-288)*-14 + -3 and 181\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/(-2))\/((-1)\/2). Let t = u + 33. Find the third derivative of 3*j**2 - 4*j**6 - 10*j**6 + 5*j**t - 2*j**2 wrt j.\nAnswer: -1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = 2*m + 92, 0 = -3*l - 6. Let s = -50 - m. Which is smaller: -16 or s?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -699725397 by -2.\nAnswer: 699725397\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2)*3 - ((-2775)\/24)\/37?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 49\/6 of a day?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 173, 98?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3481 (base 10) to base 8.\nAnswer: -6631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 22*a**4 + 5*a**3 - 5*a**2 + 5*a - 2. Let v(m) = -m**4 - m**3 + m**2 - m. Let i = 10 - 5. Let x(u) = i*v(u) + s(u). Differentiate x(h) wrt h.\nAnswer: 68*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h - 103. Calculate v(-31).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20978)\/(-476) - 44) + 5\/126. Factor -20\/9*n + 100\/9 + r*n**2.\nAnswer: (n - 10)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-21)\/(-14))\/(-2*(-18)\/46896)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566.14311us to hours.\nAnswer: 0.000000157261975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1392225 and 37601?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 at least 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence off when three letters picked without replacement from oooooofoofooooooff.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h - 5. Let w(q) = 40*q + 41. Let v(m) = 10*m + 10. Let y(c) = -26*v(c) + 6*w(c). Suppose 75 = 18*k + 381. Determine k*a(s) + 6*y(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*-2 - (-5 + -1). Solve 3*l = 3*t, z*l = -t + 2*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3 = -t, a = 3*t - 3*a + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 474*s**4 + 3954*s**3 - 4626860*s**2 wrt s.\nAnswer: 11376*s + 23724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llolltltulltlotuo. Give prob of picking 2 l and 1 t.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 + 0)*(0*h**3 - 3*h**3 + 2*h**3)*(0*h - 5*h + 4*h + (0 + 0 - 4*h)*(-1 + 4 - 4)).\nAnswer: -15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2674 <= 2673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((7 - (6\/(-40))\/(24\/(-832))) + -3).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71214 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -35.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28358520 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(2*l**2 - 4*l**2 + 0*l**2) + (0 + 0 + 2*l)*(2 - 2 + 2*l) + l**2 + 4*l**2 - 4*l**2 - l**2 + l - l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284254, -1137048, -2558382, -4548256, -7106670?\nAnswer: -10233624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = 0. Solve 4*o - 6*l + l + 14 = s, 0 = 3*l - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2436582?\nAnswer: 2, 3, 59, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.1, 1969?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*y + 2252, -228*n + 229*n - 3*y - 747 = 0. Calculate the greatest common divisor of 540 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -13. Suppose 2*q - 1 = n. What is the remainder when (2\/4)\/((-3)\/(-60)) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74361, 297677, 669871, 1190943?\nAnswer: 1860893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 16, 7 in ascending order.\nAnswer: -23, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otottottoooototo. What is prob of picking 2 t and 1 o?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, -1\/2, -0.06, -8\/7, 0.\nAnswer: -8\/7, -1\/2, -0.06, 0, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/22770 and -1\/552?\nAnswer: 91080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:47 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 530*b**2 + 12074*b - 12074*b + (0*b + 4*b - 3*b)*(2*b - 4*b + 0*b).\nAnswer: 528*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3514717 is divided by 733?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + j = 2*j - 9, p + j = 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llntllltlltllcmltlm. Give prob of sequence mcl.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 4. Let k be j(3). Sort k, 4, 0 in decreasing order.\nAnswer: 4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 24*g**2 - 117*g - 9. What is i(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*s - 3*p + 45, -4*s = -5*p + 9. Which is greater: s or -13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*(-5*sqrt(13) + sqrt(13)))**2.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 591 (b) -22\/53 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-10))\/((-4)\/(-10)). Suppose 14 = -2*d - 5*q, q + 0*q + 16 = 4*d. Let n = d - 6. Is n less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 2*y + 2. Let r be p(-2). Suppose 0 = d - r*d + 4*b + 56, 0 = 5*d - 2*b - 244. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -29\/19?\nAnswer: -29\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -68 in 0.1, 3\/2, 3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from {g: 2, j: 1, x: 1, y: 1, c: 1, k: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24198 - 22108. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 16*a**2 + 900*a - 8525. Determine b(10).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by -3.\nAnswer: 124\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -417.5 rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**4\/4 + 13*s**3\/3 - 6*s**2 + 9*s - 1. What is the units digit of q(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, 0, -45\/4?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -3*b**8\/112 + b**7\/35 + b**6\/24 + b**5\/60 - 53*b**3\/6 + 5212*b**2 + 2*b. Find the third derivative of j(c) wrt c.\nAnswer: -540*c**2 + 144*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 322 + -172. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -11. Let k = -53 - -67. Let v(b) = -19*b + 18 + 20*b - k. Calculate v(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18989989 + (-1 - (-2 - 0)). Suppose 0 = -3*i + 2*v + c, -2*v = i - 5*i + 25319990. Round i to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (7 + -1) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + l**5 - 2*l**3 + (-2*l**2 + l**2 + 3*l**2)*(-4*l**3 - 3*l**3 + 6*l**3) - 2*l**5 - 2824*l**3 + 170 + 2824*l**3.\nAnswer: -3*l**5 + 170","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 43\/1895353?\nAnswer: 43\/1895353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/7478 and 27\/19432?\nAnswer: 72656248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/44 - (-1)\/4. Let l = 6 - f. Suppose -5*b - 10 = 5*z - 0*b, 0 = -3*z - 5*b - 10. Sort l, 3, z in descending order.\nAnswer: l, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 2*c + 2. Let i be (36 - 4) + 2\/c. Suppose 18 = 3*z - 3*g - 0*g, -4*z = 2*g - i. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -139*f + 3*f**5 + 6*f**2 - 4*f**4 + f**3 - 14*f**3 + 159*f + 8 = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 2*z = -68. Sort z, 3, 18.\nAnswer: 3, z, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -246406802\/13 less than or equal to -18954368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -397*d**4 - 64*d**2 - 5*d + 13. Let l(f) = -397*f**4 - 66*f**2 - 4*f + 10. Let x(c) = 5*l(c) - 4*t(c). Find the third derivative of x(y) wrt y.\nAnswer: -9528*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1888 + 1805.9. Let m = n + 82.08484. Let f = m + 0.016. Round f to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -116. Suppose -z = -3*k + 3*t, -3*k + 32 = -2*t - 24. Calculate the greatest common divisor of 120 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hllhjlhztxlx. Give prob of picking 2 h and 2 x.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 10211221?\nAnswer: -10211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-6) + 7\/21. Suppose o*j - 84 - 24 = 0. Suppose 0 = 5*p + 2 - 22. Calculate the greatest common divisor of p and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11535\/180 + (-15)\/(-3). Let q = -2389673\/24 - -99645. Let a = t - q. What is the common denominator of 69\/16 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(175) + -2)*2)**2.\nAnswer: -400*sqrt(7) + 3580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2686 + -47?\nAnswer: 2638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 2, e: 1, k: 2, y: 5, z: 5}. What is prob of picking 1 k and 1 r?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*m + 741 = 0, -735 = 4*l - 4*m - 139. Let p = l + 149. Solve p*c = 2*b + 10, -2*c + 5*b + 0*b = -1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 5 - 5)*(-3 + 5 - 3) - 39 + 0*r - r + 39.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0284 to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + -150. What is the nearest to 2\/7 in -2\/5, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 7:15 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 7*h + 28. Determine a(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:43 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/5 - 15925202*u\/5 - 63403014685201\/5 = 0. Calculate u.\nAnswer: -7962601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:08 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 375418, 374242, 373068, 371896, 370726, 369558?\n\"Answer: m**2 - 1179*m + 376596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w. Suppose -p + w*p = -4. Suppose 2*v = 4*m - 18, m - 3*m = -p*v - 24. Solve 2*d + o = -3*d + 6, 0 = 5*d - 3*o - m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9906 + 4*w**3 + 9889 - 19795.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 1*(-5 + 3). Let v(h) be the first derivative of 3*h + 5 + h**2 + g*h - 3*h. Let m(t) = 6*t**2. Give m(v(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11645932 at least 11645932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d = 6. Suppose y = 4*o + 7, o = 5*y - 2*o - 35. Suppose 4*s = -3 + y. Put d, s, -1 in increasing order.\nAnswer: d, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1285, -10318, -34845, -82612, -161365, -278850?\nAnswer: -442813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3 - 466*f**2 + 4576*f - 7296 = 0. Calculate f.\nAnswer: 2, 8, 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.5 - 42.5. Let n = -37.6 - h. Which is the second biggest value? (a) n (b) 1 (c) -6\/13 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 c, and 1 e when four letters picked without replacement from {r: 2, i: 1, e: 2, p: 1, c: 6}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 2 - 1)*(-1 + 0 + 2) + 10 + 4 - 6)*(-5*u**3 + 4*u**3 + 0*u**3) in the form v + l*u**2 + y*u**3 + h*u and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 311813 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 15 = 3*j - 5*l, 3*j + 3*l + 3 = 0. Suppose -10 = -5*v, 4*v = 2*i - 8 - j. Put 3, -1, 5, i in descending order.\nAnswer: i, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evpsxsz. Give prob of sequence xp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/41673 and -101\/40.\nAnswer: 1666920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(640)*-4)\/((sqrt(8) + 2*sqrt(800))*4).\nAnswer: 8*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1286 + -1274. Calculate the remainder when 455 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2714000 is divided by 169624?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 434219869\/3696 - 352451\/3. What is the common denominator of 47\/196 and f?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 8*t + 3. Let q be i(9). Let k be (12\/18)\/((-2)\/q). Suppose -w + 17 = -k*n, n + 25 = 6*n. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1568 and 32781.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - 2. Let y = z - -0.3. Which is the third biggest value? (a) 5 (b) 1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/5 - 182169*m**3\/5 - 3686918319*m**2\/5 - 4972668759615*m + 149312831200326\/5.\nAnswer: -3*(m - 6)*(m + 20243)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/135, 1.23, -78, 3 in ascending order.\nAnswer: -78, 2\/135, 1.23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 13 = -5*t + 144, 132 = 4*w + 4*t. What is the remainder when w is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrnn. What is prob of sequence rnr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k - 4*c = -68, 3*c + 33 = 2*k. Let f(u) = u**3 + 6*u**2 + 3*u - 7. Let n be f(-5). What is the greatest common factor of n and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28967514?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 1521604*a**2 + 578822726400*a + 2315266560000.\nAnswer: (a + 4)*(a + 760800)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/4 or -1145?\nAnswer: -1145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 4) in base 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704700 and 464.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -14*n**2. Let z(a) be the first derivative of -11*a**2 - 16*a + 3. Let d(q) = -7*q - 5. Let x(w) = -16*d(w) + 5*z(w). Calculate y(x(k)).\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -7\/60*l**5 + 0*l**3 + 0 - 27\/40*l**6 + 5\/24*l**4 - 128*l**2 + 0*l. Find the third derivative of j(p) wrt p.\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6900\/23*(-13 - 840\/(-63)) + -21\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-1\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 3*g**3\/2 + 3*g - 9. Let b(v) be the first derivative of x(v). Give b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19183 < -19161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -72 - 39\/2*o**2 - 38*o. What is the derivative of r(y) wrt y?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -16 (b) 4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -r + 3*r - 152, 0 = -5*r - 20. Let x = -2.082665 - -0.082665. What is the third biggest value in j, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**11*b)\/b)\/((b*b**2)\/b)*b\/(b*b*b**0)*b\/(b\/b**(-1\/2)))**25 assuming b is positive.\nAnswer: b**(375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 22 - 27 = -4*u, 5*u + 3*b = 15. Let z = -670 + 736. Suppose 70*l - z = 37*l. Solve -20 = u*k - l*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -37*t - 96. What is o(-8)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**4\/4 + 2*u**3 - u**2 + 3*u - 29. Calculate r(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2165, -4, -1, 1\/7, 3\/8 in descending order.\nAnswer: 2165, 4, 3\/8, 1\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/4 + 2800\/64.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3 + j + 14*j + 4 + 2. Is 14 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 0*b**5 + 0*b**4 - 2*b + 0*b**2 + 1\/42*b**7 + 0*b**6 + 1\/3*b**3 + 0. What is the second derivative of t(o) wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -12. Suppose -234 = -13*y + o*y. Suppose y + 49 = 4*j - 5*t, 0 = 3*t - 15. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u - 2*u)*(1 + 3*u**2 - 1) + (-u**2 + 33*u**2 + 11*u**2)*(u - 2*u + 2*u).\nAnswer: 46*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51520, -102215, -152910, -203605?\n\"Answer: -50695*b - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-280)\/(-720)*(-6)\/(-28). Which is smaller: t or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 163*u - 22. Is r(4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(99)*1 - sqrt(99))**2 + (-2*sqrt(11) + 4 - sqrt(11))).\nAnswer: -12 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + q**3 - q**3 + (37*q**3 - 20*q**3 + 0*q**3)*(-2*q**2 - q + q).\nAnswer: -36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 - ((0 - 11) + 15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 (base 8) in base 2?\nAnswer: 10010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(3\/6)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*k**2 + 6*k + 4*k**3 - 20*k**2 - 5 + 2 in the form y*k**3 + f*k + b + m*k**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**4\/4 - k**3\/3 - k**2\/2 + k. Let r be v(-1). Does -3 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -135 (b) -0.0011 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06906, 0.2, -3\/8 in increasing order.\nAnswer: -3\/8, -0.06906, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = -30*f - 5*f + 3660956. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c + 3*c + 3*c. Let n(d) = -3*d**2 + 13 + 8*d**2 - 13. Determine f(n(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4750659494?\nAnswer: 2, 7, 733, 462937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 550 - 512. What is the second derivative of u + g - 39 - 17*g**5 + 86*g**5 + 128 wrt g?\nAnswer: 1380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 59?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.1 - -0.1. Let c = r + 3. What is the closest to 1\/2 in c, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 h when four letters picked without replacement from {p: 12, h: 3, k: 2, d: 3}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -45 (c) 3\/5 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10 = -3*h - 3*a, 0 = -5*h - 3*a + 22. Is (-10*h + 1)*-2 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 5.68. Let x = h - -2.78. Let o be 0\/(-3) - 2\/(-8). Which is the second biggest value? (a) -29 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -46. Solve 0 = -2*p - 4*s - 18, -3*s + a = 4*p + 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7433 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.27571 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1207 = 19*k + 1150. Let j(w) be the second derivative of 16*w - 7\/6*w**4 + w**k + 0*w**2 + 0. What is the second derivative of j(v) wrt v?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllb when four letters picked without replacement from lbbblbl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 25. Let x be (-6)\/(-39) + l\/(-26). Let o(h) = h. Let m(v) be the second derivative of -5*v**3\/6 + v**2\/2 + 4*v. Calculate x*m(c) + 4*o(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 11*m - 9. Is c(-13) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/54 and -47\/2485.\nAnswer: 134190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**4*x*x))\/(x\/(x*x\/(x\/(x\/x**(4\/11)))*x*x)))\/(x\/x**(-6)*(x*x\/(x\/(((x*x*(x*x\/(x\/(x**(-4)*x)))\/x)\/x)\/x))*x)\/x))**1 assuming x is positive.\nAnswer: x**(-81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 3*i**2 - 23*i. Let t(h) = -3*h**3 - 5*h**2 - 46*h. Calculate 5*j(k) - 3*t(k).\nAnswer: -k**3 + 23*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88226510?\nAnswer: 2, 5, 83, 106297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 527 - 526.9998956. Round m to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47577 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*(20\/(-1160)*-29)\/3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 0*m + 1\/12*m**4 + 3*m**2 + 0*m**3 + 0 + 1\/60*m**6 + 1\/15*m**5. Calculate d(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcvv when four letters picked without replacement from {w: 4, v: 6, c: 2}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 7:44 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 17 + 15. Let t = -9 - -5. What is the second biggest value in t, w, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -5041.\nAnswer: -5\/5041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1673a - 8?\nAnswer: -16742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 6*d - 6 = 0. Suppose -3*k + d = -2*k. Suppose -x - 10 = 3*u, 10 = -5*u - k*x - 12. Put u, 3, 5 in increasing order.\nAnswer: u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5492 or 3?\nAnswer: 5492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1050))\/sqrt(6) + 2 - (-2*sqrt(567) + -4)*1)**2.\nAnswer: 276*sqrt(7) + 3739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7411 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5 + 104*p**3*y + 2*p**2*y - 54*p wrt p?\nAnswer: 60*p**2 + 624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -35. Suppose -w = -8*q + 4*q + 3*g, -3*g = 3*q - 24. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.013, 0.1, -5, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a\/(a\/a**10)))*a*a**27\/a)**48 assuming a is positive.\nAnswer: a**1824","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/9 (b) -3 (c) -1\/9 (d) -0.8 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 77*a - 928 = 0, 2*a + a + 0*a - 4*a - 60 = 4*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48572*l + 49092*l = 62920 for l.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4351, -17395, -39135, -69571, -108703?\nAnswer: -156531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7823317 millimeters to micrometers.\nAnswer: 782.3317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 72 - 21*f**2 + 11*f**2 + 7*f**2 + 7*f**2 to u*f**2 + n*f + k*f**3 + o and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**4\/3 - 7*c**3\/3 - 146*c**2. Let q = 16 + -5. Calculate the remainder when b(q) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 297 = 43. Let s = 180992\/9 - 20110. Which is the smallest value? (a) 3 (b) -2 (c) j (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-282)\/(-30) - (-6)\/10. Suppose 0 = j*f + 8*f - 36. Determine o, given that 2*o**f - 25*o + 15*o**3 - 12*o**2 - 23*o + 43*o = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*u - 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhuh when four letters picked without replacement from {h: 7, u: 2, k: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1096 = -886. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 8:44 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3119 is divided by 2204?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqqy when four letters picked without replacement from {q: 12, y: 7}.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a + 1 + 36*a**2 + 0 - 35*a**2 in the form o + j*a + y*a**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*p = -22*p + 33*p - 355. What is the smallest value in 6\/7, -4, -5, -2, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216\/7*c - 204\/7 - 9*c**2 + 3\/7*c**3 = 0. Calculate c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 1 = -n, -4*n + 3*d + 301 = 316 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -1\/2, 0.02, 4, 1\/4, 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2701, -2, 5, 0 in descending order.\nAnswer: 5, 4, 0, -2, -2701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 1093544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xyxxxfyyyy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 8, 7*k - 3*k - y - 120 = 0. Solve k = -4*b - 5*a, -2*b - 8 - 9 = 3*a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224203957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**4\/24 + 257*l**3\/6 + 569*l**2. Let z(c) = 2*c. Determine z(n(v)).\nAnswer: 2*v + 514","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -10*u - 96. Let d = -23 - -14. Let w be t(d). Let f(q) = q**3 + 5*q**2 - 5*q + 6. Calculate f(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.219027 weeks in hours?\nAnswer: 36.796536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 - 500*x**3 - 4445*x**2 + 4950*x.\nAnswer: -5*x*(x - 1)*(x + 11)*(x + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 12*n**2 + 3*n + 8. Is h(-2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 7*r**2 - 12*r + 11. Calculate c(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 4*w + 14, 0 = 23215*c - 23211*c - 5*w - 4 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5776\/20*4\/((-4)\/(-5)). Suppose -280 + w = 4*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 2 + 1)\/6. Let c be 1 + -3 + (-3 - -2). What is the nearest to r in c, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1515094?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 33 = -54. Suppose 0 = -4*s, -2*m + s + 4 + 6 = 0. Suppose f - 3 - g = x, m = x. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 39685 = 5*m, 150*m - 39692 = 145*m - 2*t. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*p + 10280. Let a = -1533 - p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/3 - (-4543000)\/(-84). Round v to the nearest 1000.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4014 * -5.\nAnswer: -7.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 40*i. Let v(t) = -75*t + 71*t - 15 + 15. What is a(v(w))?\nAnswer: -160*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ec77e + -12?\nAnswer: 1ec76c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -149 and 7.17.\nAnswer: -141.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) + sqrt(114)*1)*1)\/(sqrt(294)*-1) + ((1 + sqrt(19) - sqrt(19))*1 - -1*sqrt(475)))**2.\nAnswer: 66*sqrt(19)\/7 + 20740\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -37, 1 in descending order.\nAnswer: 6, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 17. Let g = 7.2 + l. What is the biggest value in g, -1, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**8\/168 - 3*m**7\/35 + m**6\/60 + 3*m**5\/10 + m**2 + 712*m. Suppose l(f) = 0. What is f?\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + 3*sqrt(2299)*5)*3)**2.\nAnswer: 320760*sqrt(19) + 167600016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 509.404 from 2.1.\nAnswer: -507.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-234)\/27*(-6)\/1. Suppose 0*x = -x + r. Let h be (13\/x)\/((-11)\/(-36)). Are 1 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174859 (base 10) to base 5\nAnswer: 21043414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6521550 divided by 5?\nAnswer: -1304310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-72) + (-80)\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 22*k + 1. Determine v(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7885, 15774, 23661, 31546?\nAnswer: 39429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g + 7*g - 12*g + 10*g**2 + 1 to k*g**2 + h*g + b and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (0 - 2))\/(-2). Suppose 0 = -w - h - 8. Calculate the common denominator of 67\/20 and w\/(-20)*(-25)\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(11\/2)\/(a*a**31))\/((a**(-10\/7)\/a)\/a*(a\/a**(-29))\/a) assuming a is positive.\nAnswer: a**(-729\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = -9*l + 42. Solve 0*y = -3*m - l*y - 2, -y = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14544300 - 1?\nAnswer: 14544255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s + 44 = 7492*z - 7490*z, -4*s - 16 = -4*z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/4 + d**3\/2 + 7*d**2\/2 - 2*d. Let b(x) = -4*x**3 - x**2 + x - 1. Let q be b(1). Is z(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -392 + 392. What is the biggest value in h, -13\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 76 and 1002 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -83)\/(0 + (-3)\/(-10)). Suppose -2*s + q = s. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - (34 + (-43 - 50))) + 2 + (2 - -69).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16089.607 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.9, 3, 0.2, -4, -5\/6, 5\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*c - 252120 = 48*c. List the prime factors of c.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7511 - 1.2489. Which is the closest to -0.047? (a) -3\/7 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, t: 5, a: 7, v: 1, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**5\/20 - 7*t**4\/12 + t**3\/2 - 8*t**2 + 30*t. Let j be y(7). Let z(i) = i**3 - 6*i**2 + 5*i + 4. Calculate z(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2252911 or -6758729\/3?\nAnswer: -6758729\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -11. Suppose q*h + 7 = -8. Let j(x) = x**2 + x + 4. What is the tens digit of j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-4)*2*(-2)\/(-24)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**2 + 1099812*k - 100798869612 = 0.\nAnswer: 183302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20127465.99601 + 20126751. Let f = q - -715. What is f rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**7\/70 - q**5\/15 - 7*q**2. Find the third derivative of g(w) wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/(-78) - (2\/(-10))\/((-2106)\/(-810)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -11, 1, -0.059 in ascending order.\nAnswer: -33, -11, -0.059, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -18*d**3 + 2*d**2 + 3*d + 2. Is a(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1875*k**2 - 924*k**2 - 131*k - 946*k**2 as l*k**2 + n*k + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 6)*1 - -4. Solve -x = -t*h, h = -0*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/(-216)*6\/70.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77.9841 - 78. What is u rounded to 4 decimal places?\nAnswer: -0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24227?\nAnswer: 7, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/4330 and 73\/1299.\nAnswer: 12990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036593 is divided by 813?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9 or -4.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i - 114. Let v be i\/9 + 4\/6. Let t(g) = 22*g**2 - 1. Let y be t(-1). What is the greatest common divisor of y and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 360713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 17*g - 36*g - 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u - 160 = 0. Let v be (u\/(-64))\/((-2)\/(-8)). Solve v*z = 2*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -0.0905.\nAnswer: -0.1086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 11*x = 4*y - 580, -5*y - 3*x = -723. Let m be y\/51 + 12\/102. Which is the third smallest value? (a) m (b) -4\/7 (c) 2 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/147741 and 94\/67155.\nAnswer: 738705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211011112 (base 5) to base 4.\nAnswer: -3111310012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 178?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5776679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*z - 187*z - 12 = 0. Let h = 35 - 34.68. Let i = -1.68 - h. Which is the fourth smallest value? (a) -3 (b) 1\/2 (c) z (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218411, 218662, 218911, 219158, 219403, 219646, 219887?\nAnswer: 220126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27dcae (base 15) to base 14.\nAnswer: 37d932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-54)\/(-11)) - (-86)\/172\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -481, -3870, -13079, -31018, -60597, -104726, -166315, -248274?\nAnswer: -353513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 277713 and 7055793?\nAnswer: 4707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4812366, -4812364, -4812362, -4812360, -4812358?\nAnswer: -4812356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**4\/4 + 10*y**3\/3 + 5*y - 7. Let c be b(10). Solve 2*r - 7*r - c = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14055597 times -2\nAnswer: 28111194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*f + 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*w - 24, 31*w - 30*w - 2*r = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10752 and 48016416.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/14 and -31\/11080722.\nAnswer: 77565054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4482370404349.1 take away 7?\nAnswer: 4482370404342.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + -3 + -947 + 1024?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f + 6*f**3 - 5*f**3 - 3*f wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 880520?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14130 (base 6) to base 9.\nAnswer: -3030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038798516 to six decimal places.\nAnswer: -0.000388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/120 + a**3\/6 - a. Let p(j) be the second derivative of l(j). Let x(q) = q**2. Give p(x(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 + -73. Calculate the remainder when (-2)\/(-8) - 297\/(-12) is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-10)\/18)\/5 + 14763\/189 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 663 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.06 - 0.06. Let i = 3 + -2.9. Let q = 0 + i. Which is greater: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/13 + 276252*c\/13 + 552512\/13.\nAnswer: -2*(c - 138128)*(c + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-42)\/(-20) - 10. What is o in v*o + 1\/2 - 1\/2*o**3 - 1\/2*o**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/9))\/((w**5\/w)\/w)*(w**1)**21 assuming w is positive.\nAnswer: w**(169\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -8 + 0 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4815 divided by -5.\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67721 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 - 5 = 0. Let k(p) = -p - 1. Let m be k(-4). What is the second derivative of h*v**2 - 5*v**3 + v + 5*v - m*v**2 wrt v?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 14*y**3 + 2*y**2 - 18*y + 1. Let z(r) = 5*r**3 + r**2 - 6*r. Let m(i) = 4*a(i) - 11*z(i). Calculate m(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.145 - -0.905. Let h = 23.65 - j. Round h to zero decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 + 4*a - 5. Let l be w(5). Let v be 2\/4 - l\/(-56). Let n = 2.8 - 3. What is the closest to -2\/13 in v, -1\/6, n?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -52\/21*z**3 + 90\/7*z**2 + 200\/7*z - 9\/7*z**4 - 4\/35*z**5 + 62. Find l, given that v(l) = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 - 48917*k**2\/5 + 1026854*k\/5 - 1858048\/5.\nAnswer: (k - 48896)*(k - 19)*(k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5704 and 217?\nAnswer: 39928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -16. Is h at most as big as -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 11*h + 25. Let b be a(-13). Find the third derivative of -b*c**2 + c**3 - 3*c**3 + 65*c**2 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1062\/6083 - -4\/553. Factor s*x**2 - 6\/11*x + 0.\nAnswer: 2*x*(x - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 748597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1415 - 1415.5. Which is the second biggest value? (a) 6\/13 (b) 0.2 (c) n (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 0, 3*a + 2*b + 2*b = -99438. List the prime factors of (-726)\/187 + 4 - a\/34.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1617 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000211 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 267*z + 1997. Let m(i) = -167*i - 1331. Let c(j) = -5*a(j) - 8*m(j). Let r(s) = 2*s**2. Calculate r(c(v)).\nAnswer: 2*v**2 + 2652*v + 879138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/120 + 4*h**5\/15 + 17*h**4\/24 + 35*h**3\/6 + 69*h**2. Is 7 a factor of t(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*s - 34*s + 1588840. What are the prime factors of s?\nAnswer: 2, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3426\nAnswer: 1\/3426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 101*z - 96*z + 15 = 0, 0 = -4*z - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2915214 is divided by 7234?\nAnswer: 7146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*f + u, -2*f + 12 = -7*f - 2*u. Does 12 divide (6\/(-9))\/(f\/114)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-68)\/4*-1 - 2. Let s be (-12)\/(-5) - 6\/w. Let i be (-3 - -17*s)\/1. Solve 5*p - 2*z = -7, 5*p + 0*p + i = -4*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3100 is divided by 144?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**19*r*r\/(r*r\/(r\/(r*r*(r*r\/(r*r**33)*r)\/r))*r)*r)\/(r*r**(-4\/13)*(r\/(r*r\/r**(4\/13))*r)\/r) assuming r is positive.\nAnswer: r**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46566 and 37858.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -8. Which is smaller: p or 11\/5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.1 - 46.072. Let a = 6 + n. What is a rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 4. Let w = -65 + 64. Let i be m(w). Sort 4, 5, i in ascending order.\nAnswer: i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihb when three letters picked without replacement from bhiibbibiiob.\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23287.\nAnswer: 11, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 10. Let x = p - 8. Let u be -2*(-2)\/x - -2. Which is bigger: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 25, 41, 59, 79, 101?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 555\/(-45) + (-1)\/(-3). Let h(f) = 2*f**2 + 16*f - 13. What are the prime factors of h(n)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2446 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 25*b**2 - 128*b + 413. What is x(15)?\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 3*a**2 - 3*a**2 - 2*a**2)*(-a + 476 - 279 + 388).\nAnswer: 2*a**3 - 1172*a**2 + 1170*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/5, 164, 0.3, 0.2, 2\/1354433, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2158569 = -190*i + i. List the prime factors of i.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n + 39. Give k(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 242 - 146 = 0. What is the greatest common factor of t and 465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5*h + 7)*(-3*h + h + h) + 9*h**2 + h**2 + 13*h**2.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 203 = 2*t - 19, 15 = -3*j. Let b = 99 + t. What is the remainder when 46 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffeehffeeehhfhffe. What is prob of sequence efe?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6d (base 14) to base 12.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 minus 1.526877?\nAnswer: 83.473123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -547*z + 15. Let y(n) = -274*n + 8. Calculate 6*v(x) - 11*y(x).\nAnswer: -268*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(19)*-3.\nAnswer: -1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2 + (7 - (-184)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) -9 (b) 0.4 (c) 6 (d) 1\/2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15879 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 17, g: 2}. What is prob of sequence ppgp?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f**2 - 4*f**3 + 32 + 35 + 4*f + 25 - f**4 - 90 in the form h*f**2 + y*f + q + b*f**4 + c*f**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 - 43*v**2 - 23*v + 21. Determine c(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*t - 16 - 104, 99 = q + 2*t. Let u be ((-38)\/23)\/((-2)\/(-127)). Let k = q + u. Which is the closest to 1\/2? (a) -0.3 (b) k (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776 divided by 102881?\nAnswer: 776\/102881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from jxssssxssssssjsssj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(-1 + sqrt(7) + -2) + (sqrt(252) + -1)*-6) + -4.\nAnswer: -7 + 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -383375 smaller than -383568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 1\/300*w**6 + 1\/1050*w**7 - 2*w**2 + 0 + 0*w**4 + 1\/300*w**5 + 0*w + 0*w**3. Factor y(o).\nAnswer: o**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3186177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 - -102. What is the least common multiple of p and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581.9821ng to micrograms.\nAnswer: 0.5819821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**4 - 67*z**2 - 36*z - 31. Let w(s) = -67*s**2 - 39*s - 32. Let y(r) = -5*v(r) + 4*w(r). Find the second derivative of y(d) wrt d.\nAnswer: -120*d**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.22 rounded to zero decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*-1*(-384)\/((-408)\/(-17))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3822123, 7644253, 11466387, 15288525, 19110667, 22932813?\n\"Answer: 2*q**2 + 3822124*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5237 divided by 4?\nAnswer: -5237\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6506377249.9 - 6506377305.662284282. Let q = g + 0.762274982. Let m = -55 - q. Round m to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/1208? (a) -0.1 (b) 9 (c) -58 (d) -0.3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 - 2*t**2 + 7*t - 5. What is the tens digit of s(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-462)*9\/(-6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -17850, 0.4, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0*v - 2*v - 5)*(4 - 3 - 2)*(-3*v**3 + 3*v**3 - v**3).\nAnswer: v**4 - 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7428860 - -5?\nAnswer: 7428865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4843?\nAnswer: 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*a - 47 + 51 - 188 = 79 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 3 - -4 - (-5 + -20 + 9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.75601 rounded to one dp?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3510*s + 3515*s - k, 0 = -s - 4*k - 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3\/148, 4, -1.6 in increasing order.\nAnswer: -1.6, -0.4, -3\/148, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z + 14. Let j(i) = -28*i + 29. Give 4*j(c) - 9*v(c).\nAnswer: 5*c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g + g**2 + (-7*g + 4*g + g)*(-4*g - g + 4*g) + 0*g**2 - g**2 + 0*g**2 - 3*g**2 + 3*g**2 - g**2 + (-9*g + 2*g + 2*g)*(124*g - 320*g - 205*g).\nAnswer: 2006*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 189 - 477. Let i = 52 + a. Suppose -p + 13 = -3. What is the highest common divisor of i and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 9:22 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 836592 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u*u*u\/((u**2*u)\/u)*u)\/u)\/u)**(-22)\/(u**(-1\/4))**6 assuming u is positive.\nAnswer: u**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 11 (b) 2.8 (c) 0.5 (d) -13 (e) 1 (f) -0.057\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255986?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33758\/202195 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k - 4*v - 36 = 0, -2*k + 797*v - 799*v = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + -22. Let l = 195 + u. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w - 8*w + w**2 + (2 - 3 + 2)*(-5*w**2 - 6 + 6) - 2*w + w**2 + 2*w - 2*w**2 + w**2 - w**2 + (w - 4*w + w)*(-w + 4*w - w) - 4*w**2 + 2*w**2 + 5*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 136 in -22, 5\/4, 0.1, 5\/6?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/m)\/((m\/m**0)\/m)*(m**(3\/2)*m)\/(m**(1\/12)*m) assuming m is positive.\nAnswer: m**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 356\/7 - 3923\/77. Is -0.003 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20814?\nAnswer: 2, 3, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24747?\nAnswer: 3, 73, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and -0.2.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**6\/180 - n**5\/24 + n**4\/12 + 8*n**3\/3 + 3. Let c(x) be the third derivative of q(x). Calculate c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -639*a**3 - 3288*a**3 + 24*a**2 + 181*a**3 - 13*a**2 - 12*a**2.\nAnswer: -3746*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 3 + -2 + -90. Let c = -64 - m. What is the remainder when c is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -129367.5\nAnswer: -1293.675","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63872359 is divided by 6154.\nAnswer: 6147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12 = -6*q. Suppose d - q = 1. Suppose -w = -d*w + 80. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y + 26. Let j(k) = k - 9. Let c(x) = -2*i(x) - 7*j(x). Let r be c(10). What is the least common multiple of (-3 + -2)\/(r\/(-8)) and 28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13\/9 + 82\/63. Suppose 85*p + 390 = 7*p. Put b, -0.1, p, -1\/11 in decreasing order.\nAnswer: -1\/11, -0.1, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, 1 o, and 1 r when four letters picked without replacement from tvorrovvtrto?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*n + 0 = 8, -14 = 5*a + 3*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b + 4*b + (-3*b + 4*b - 3*b)*(4 - 4 - 2) + 3*b - 3 + 3)*(-8*b + 12*b + 10*b).\nAnswer: 126*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-1.2.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 723956 and 464.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*j - 5*h, -h - 4 = -4*j + h. Let c(t) = t**3 + 18 - 222*t**2 + 4*t - 3*t + 221*t**2. What is the lowest common multiple of 4 and c(j)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121 and 110836.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and 3620281.\nAnswer: 4344337.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -9. Let r = 23 + -11. Let t = 5 + -5. Solve -l*z + t*z = -r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.771.\nAnswer: -0.771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -494 - -119. Which is greater: -747\/2 or s?\nAnswer: -747\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -2)\/24 + 3\/(-216)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 2*m + 2*m)*(234*m - 1944*m**2 - 547*m**2 - 233*m) in the form n*m + x*m**3 + u + t*m**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7255081028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - -1. What is the units digit of (d\/10)\/((-11)\/(-55))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69275.58 microseconds in milliseconds?\nAnswer: 69.27558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5315*g*n**2*z - 17*g*n*z - 3*g*z + 5535*n**2*z - 57863*n wrt n?\nAnswer: 10630*g*z + 11070*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -23*x - 6. Let y(n) = 22*n + 7. Suppose -3*d + c + 21 = 0, -43 + 55 = -2*c. Calculate d*y(g) + 6*i(g).\nAnswer: -28*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -361 - -243?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 i when three letters picked without replacement from {i: 1, u: 4, d: 3, t: 2, h: 4}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and -227.\nAnswer: 6356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4\/5*a**3 + 8\/5*a + 12\/5*a**2 + 0 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = 2*w - 3*c, 0 = 2*c - 4. Let k be (1 + w)\/3*3. Is k at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5436 and 6934524?\nAnswer: 20803572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -596*p**2*z**2 - 2*p*z**2 + p - 183*z**2 wrt p.\nAnswer: -1192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3778 + 5614. What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neiygnwy. Give prob of sequence ge.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2248, 4512, 6800, 9124, 11496, 13928, 16432?\nAnswer: 19020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/6 + 8\/12. Suppose 0 = -5*m + 9 + 6. Put m, z, 5 in increasing order.\nAnswer: z, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1331, 1350, 1381, 1424, 1479, 1546, 1625?\nAnswer: 1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, v: 1, a: 1, u: 1, y: 1, s: 1}. What is prob of picking 2 s, 1 v, and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {z: 7, m: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21622 divided by -2.\nAnswer: -10811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-7 - 1) - 4 - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-8)*p))\/p**(-4)*(p\/(p**(-7)\/p)*p)\/((p**(8\/7)\/p)\/p) assuming p is positive.\nAnswer: p**(153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 + 155 - 8*s - 39*s**3 - 5*s**2 - 307 + 17*s.\nAnswer: -39*s**3 - 5*s**2 + 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482 - 482 - 4645*n**3.\nAnswer: -4645*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0 + 1 + 0 - 3 + (1 - 3 + 1)*(1 - 1 + 2) + 2 + 1 - 5)*(-25*a - 11*a + 11*a) to k*a + w and give k.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -47*h + 1. Let g = 685 - 388. Let i(j) = 0 + 0 + 295*j + g*j - 594*j. Calculate i(m(d)).\nAnswer: 94*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) -0.3 (c) 23\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(136) - (-1*sqrt(136) + sqrt(136))))\/sqrt(8) + sqrt(17)*2*-4 + sqrt(17) + sqrt(2057)*-2.\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 224562 + -224559. Determine u so that 1\/5*u**4 + 12\/5*u**i + 12*u + 43\/5*u**2 + 28\/5 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1448, -0.94, -1.6?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*t - 418 + 828 - 414)*(-4 - 2*t + 4) as u*t + j + p*t**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-149 + 149 - 154*l**2)*(-47 + 173 + 213) to the form b + h*l**2 + z*l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c + 33*c = 0. List the prime factors of 1*(44 + c) - (19 - 16).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1207 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 - (-14)\/(-8). Let i = -2\/20683 + 2047657\/413660. Calculate the common denominator of o\/(-6)*177\/(-16) and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 13. Suppose 2*i - 20 = -2*c, 0 = -2*c - i + b*i. Factor q**2 + c*q**2 - 3*q**2 - 2*q**2 + q.\nAnswer: q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*i = -286*i - 528 - 2356 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/16 in -2, 0.5, 3, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 25*l - 127. Let p be z(-14). Suppose 15*c = 12271 + p. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 124?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 35*k - 177. Let r be i(5). Let a(g) = -1. Let u(o) be the second derivative of -o**3\/2 - 2*o**2 + 2*o. Give r*a(s) + u(s).\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**6\/40 + 5*d**5\/6 + 2*d**4\/3 + 7*d**3\/2 + 3*d**2 + 7*d. Let r be v(17). Solve -r*m = -2*m - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 299\/5. Put -2, v, -0.4 in decreasing order.\nAnswer: v, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/13 in 0, -21, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 118, -1, 0, 1\/6, -0.18, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-22) + 53508\/429. Solve l*n = 120*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 4. Let v be h(-3). Let j = 2 + v. Solve -j = -2*l + 5, -2*o - 3*l = -5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1641 = 7*g, -52*g - 3*l = -54*g + 476. What is the remainder when 866 is divided by g?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -62, -281, -500, -719, -938, -1157?\n\"Answer: -219*s + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14626 - -14622. Which is the nearest to t? (a) -2\/3 (b) 0 (c) -19.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -153 or -29738\/193?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 51, 102, 151, 198, 243, 286, 327?\n\"Answer: -o**2 + 54*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18900 divided by 4725\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2805704 and 2454991.\nAnswer: 19639928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32030?\nAnswer: 2, 5, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101005 + 24241333\/240. Find the common denominator of y and 11\/168.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29867917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = u + 2*m, -4*u = 2*m + 7 - 33. Let o(n) = -3*n. Determine o(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 8*x + 3. Let t be b(8). Solve t*i = q - 7, q - 16 = -4*q - 4*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153+15546\nAnswer: 15699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-5)\/20*-12*1. Which is smaller: g or 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 386*q - 37. Let l(z) = -129*z + 13. What is -17*l(f) - 6*w(f)?\nAnswer: -123*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 193 * 3.\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204 + -93. Let i = -69 + n. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-6)\/2)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*t - 606 = -616, 4*k + 5*t = -18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 194*j + 4. Let t(m) = -97*m - 2. Determine -2*k(w) - 5*t(w).\nAnswer: 97*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.38 and 3066960.\nAnswer: -1165444.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((420\/6930)\/((-10)\/6))\/(2\/(-10))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 12*h + 1353. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42912 and 792.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 2:43 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, k: 1, p: 3, c: 1, y: 1, m: 1}. Give prob of picking 1 p and 1 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38391 + -22288. Is d a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 - -0.02. Let x = -52.29 - 6.31. Let l = 59 + x. Which is the nearest to l? (a) -2\/11 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.646461ml?\nAnswer: 0.004646461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -5*p - 3*c + 5*c, 0 = -3*c. Let a(t) = -5*t**2 + p*t**3 + 14*t**3 - 47*t**3 + 15*t**3 - 2 - 3*t. Let k = -2 - 3. What is a(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 15 = -18*g. Solve q + 4*d + 1 = 0, -4*q = -0*q - g*d + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 7*n. Let d be m(7). Suppose d*b - 3*b = -6. Suppose 4*g = b*l - 3*l + 176, 5*g - l = 211. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7077 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*l - 15 + 64 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*q + 3*q - 6376 = 0, 6400 = 2*h + 4*q. What are the prime factors of h?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 189950206 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102012 - 2?\nAnswer: 102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93 + 54 - 7*d**2 + 8*d**2 - 87 to m*d + n + b*d**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/173 - -316\/865. Let y(x) be the third derivative of s*x**5 - 7*x**2 + 2\/35*x**7 + 0 + 0*x**3 + 0*x + 1\/3*x**4 + 1\/168*x**8 + 13\/60*x**6. Factor y(c).\nAnswer: 2*c*(c + 1)**2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 10*p + 23. Let r be ((-1)\/2)\/((-22)\/(-88)). Let w be v(r). Solve -6*q + 2*q + 20 = -w*m, -2*m + 4*q - 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.7 + -12.7. Which is bigger: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -2, 0.3, 3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62115 - 203?\nAnswer: -62321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-6) - -12) + 2\/((-4)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/6 + -2 + 1)\/(-9).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -7)*(-30)\/25. Sort x, 3, 0.4 in increasing order.\nAnswer: x, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -18. Let a(n) = n + 7. Let q be a(0). Let c = q + z. Solve 0 = w - 0*o + c*o + 3, 4*w = 5*o + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/23 (b) 0.2 (c) -4473 (d) -2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2806803097 to the power of 1\/2, to the nearest integer?\nAnswer: 52979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51.2 - -51.19398. What is r rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssg when three letters picked without replacement from sggs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*o**2 + 27*o**2 + 28*o**2 + 22*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24112 is divided by 52.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*l**4\/3 + 322*l**3\/3 + 2216*l**2\/3 - 152*l = 0. Calculate l.\nAnswer: -6, 0, 1\/5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 4*k**2 - 2*k - 4. Let n = 6 - 4. What is the smallest common multiple of a(-4) and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 52*p + 605. What is v(-12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 78 - (6438 + -6300).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 32. Let t be (44\/m)\/(-1 - 1). What is the highest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2022*k + 18977 = -155*k + 545*k + 299*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 + 29*j**4 - 4*j - 10*j**2 - 31*j**4 - 4*j**3 = 0. Calculate j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*w + 370055 - 593129 = -7897*w + 552344 for w.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16602, -19650, -22696, -25740, -28782, -31822, -34860?\n\"Answer: y**2 - 3051*y - 13552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2*i**7\/315 + i**6\/18 - 4*i**5\/45 - i**2 - 28. Let g(x) be the second derivative of c(x). Find f, given that g(f) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -14*p - 6. Determine a(5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 429*v - 18032. Calculate o(42).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3\/9 - 322*c**2\/9 - 13120*c\/9 - 12800\/9 = 0.\nAnswer: -80, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1810.28 * -4.2\nAnswer: -7603.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21868.965 months in millennia?\nAnswer: 1.82241375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-78)*3\/(-2). Sort 2\/7, -45, g in decreasing order.\nAnswer: 2\/7, g, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 9900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 1, k: 2, x: 1, f: 2, i: 1}. Give prob of picking 1 f and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25690 by 5.\nAnswer: -5138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**5 + 78*p**4 + 573*p**3 + 168*p**2 - 2352*p + 1536 = 0.\nAnswer: -4, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/9? (a) 3 (b) 2\/19 (c) -11891\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16038 divided by 4?\nAnswer: 8019\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.7 + 11.7000148. Round b to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4266 less than -0.3?\nAnswer: 4265.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/7, -4, -2\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5297*f - 5297*f - 324*f**2.\nAnswer: -324*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.2 + -9.2. Let h = -3 - -3. What is the closest to h in f, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 b when four letters picked without replacement from {c: 6, b: 6}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**4\/4 + 5*t**3\/3 - 7*t**2\/2 - 7*t + 8164. Give k(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h + 85. Calculate i(0).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19977487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3 - -1.9. Let f = 33.09 + -33. Let t = f + -0.29. Which is the third biggest value? (a) t (b) o (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20330.5 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 28*h**4 + 619*h - 1567. Let z(i) = -10*i**4 - 206*i + 523. Let k(m) = -4*v(m) - 11*z(m). Differentiate k(j) wrt j.\nAnswer: -8*j**3 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 60\/9*54\/45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 1, -3, 5 in descending order.\nAnswer: 19, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1314 divided by 219\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306734?\nAnswer: 2, 103, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 1. Let w(q) = -q**3 + 11*q**2 + 3*q. Let d(m) = 3*k(m) + w(m). Calculate d(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c24b4 - -1ac?\nAnswer: -c2305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 518, 1036, 1552, 2066, 2578?\n\"Answer: -a**2 + 521*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*v**2 - 58268*v - 12636 = 0 for v.\nAnswer: -13\/60, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-231)\/22*20\/(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365538 + 58494 = 96*j. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 11:13 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -211*o**3 + 105*o**3 + 107*o**3 + 4 + 2*o as j*o**3 + w + f*o**2 + q*o and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*p**2 + 66*p**2 - 3*p**3 - 137*p**2.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (3 - (-4 + 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*q - 13. Suppose 40 = -q*h - h. What is the units digit of (-30)\/(-9)*(-12)\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1522, -3041, -4560, -6079?\n\"Answer: -1519*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -11. Suppose 0 = 5*c - 21 + b. Let l be (-2)\/6 + 10\/c. Solve 2*r = -l + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -1 - 5\/2*r**2 + 0*r + 4\/3*r**3. What is the second derivative of y(f) wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -25.6, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 + (-6)\/15. Let b = -0.3896 - -0.1896. Put -0.5, l, 4, b in descending order.\nAnswer: 4, l, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 14*f - 1. Determine v(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/4? (a) 6 (b) -8.7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -55, -109, -195, -319, -487, -705?\n\"Answer: -b**3 - 7*b**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 353527907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-11 + 5)) + -19 + 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (40 + 4 - 5)\/1?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3493217589?\nAnswer: 3, 41, 193, 147151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 1111 = 5*x, -9 = -4*x + 3. Differentiate j - 166 - 6*q**3 + 107 with respect to q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20 - 19)*(-1 + 3). Which is the biggest value? (a) y (b) -0.11 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w**2 + 1. Let n(k) = -12*k**2 - 40*k - 3. Determine -n(q) - 2*r(q).\nAnswer: 28*q**2 + 40*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 18*o**2 - 12*o - 3. Let s(j) = j**2 - 5*j - 15. Let t be s(6). Is u(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 410826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/(464\/(-56)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**4 + 384275*o**3 + 3842330*o**2 + 6147600*o = 0.\nAnswer: -76845, -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 2. Let z be h(0). Find the first derivative of 0*j**z + 2 - 4 - 3*j**2 + 2*j**2 wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 10:11 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 18*g - 39. Suppose 122*c - 542 = 1776. Calculate i(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 79*p + 208 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 104 = -0*p - p, -3*p = 2*y - 104. Suppose 5*w - 35 = 30. Let s = 31 - w. Calculate the remainder when y is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1303 (base 7) to base 4.\nAnswer: 13231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10118419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z**3 - 56*z**2 - 32*z + 250. Give b(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-90)\/36)\/(2\/(-8)). Let m(g) = 0 + g**3 + 11 - c*g**2 - 10 + 11*g. What is the remainder when m(9) is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -7 (c) 268\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1860\/310*(-4)\/(-16))\/((-2)\/(-100)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6364427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3358*z**3 + 2*z + 19326 wrt z?\nAnswer: 20148*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*n**2 - 96*n**2 + 2*n**2)*(n**2 - 1 + 1 + (6 - 3 - 4)*(0*n + 0*n + 2*n**2)) to a*n**2 + y + f*n + i*n**3 + z*n**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -10.511?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1752028, 1752029, 1752030, 1752031, 1752032, 1752033?\n\"Answer: k + 1752027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 158*b + 865*b - 517*b + 457*b to the form u*b + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14631.289 - 14608. Let n = -23.343084 + h. Let z = -0.054 - n. Round z to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-51))\/((-27)\/(-18)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 5, -7.9, -16618?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 + -203. What is the third derivative of -4*n**3 + 4*n**3 + 85*n**4 - 31*n**6 - 85*n**4 - 124*n**a wrt n?\nAnswer: -3720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168) + 6*(sqrt(168) - sqrt(168)*4 - sqrt(168)))\/(sqrt(48)\/((4*sqrt(64) - sqrt(64))\/sqrt(8)))*6 + 4.\nAnswer: -828*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276*0.4.\nAnswer: -110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4}. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2725.656 less than -0.148?\nAnswer: -2725.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, h: 3, d: 3}. Give prob of picking 1 i and 2 h.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -12, -1 in ascending order.\nAnswer: -23, -12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*y**3)*(-2*y + 5*y - 2*y) - y**4 + 4*y**4 - 2*y**4 - 2*y**4 - 5*y**4 + 2*y**4 + 87*y**4 - 116*y**4 + 152*y**4.\nAnswer: 121*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 5*o**2 - 2*o. Let w be f(5). Let z be (6\/4)\/(19\/38). Suppose -3*l + 36 = -6*l + z*m, -l - 3*m = 8. Are w and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -289*p**2 + 94*p**2 + 602*p**2 + 20*p**2 in the form b*p**2 + v*p + u and give b.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 3*c - 806 + 772, h - 45 = -5*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5 + 35. Let v(k) = k**3 - 3*k**2 - 10*k + 5. Let c be v(7). Let h = c + -103. Calculate the lowest common multiple of b and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -131. Let i be (-1 - -2)\/((-2)\/o). Suppose -5*n = d - 13, -n = 5*d - i - 14. 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 50 - 138 + 44 + 44 + 137*m**2.\nAnswer: 137*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(7*(1 + 0)). Let l = -1487\/7 + 212. Which is the smallest value? (a) k (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, w: 2}. What is prob of sequence fff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 801930 and 80193?\nAnswer: 801930","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 10*z - 20. Determine d(10).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -77, -75, -93, -119, -141, -147, -125, -63?\n\"Answer: 2*k**3 - 22*k**2 + 54*k - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (23 - 27)\/(-5 - -1). Solve -3 + m = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7168 (base 9) in base 2?\nAnswer: -1010001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 9)*(0 + 2*a + 0) + (-3 + 2 - 1)*(29 - 29 + 8*a)*(1 + 2 - 4).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*c**3 + 97*c**3 + 95*c**3 + 101*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + ((-1 - -3) + -2 - -4 - 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 516257199 to the nearest integer?\nAnswer: 22721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 1. Let n be b(13). Let x = n - 10. Solve 4*f + 31 = 5*c, 27 = 5*c - x*f + f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800606791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-7 - -3)\/(-2)). Suppose o = -i + 2*t + 2*t + 2, i - 8 = 2*t. Let l = -4 - -18. Calculate the greatest common factor of i and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 12, -21 = -5*d - n + 2*n. Let s = -44 - -52. Calculate the lowest common multiple of s and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/42 and 73\/22?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 71, 55, -33, -217?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.9 + 2.9. Let r = -6.2 + 0. Let f = -1.2 - r. Sort f, 1\/3, w in decreasing order.\nAnswer: f, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-975)\/143 - 68\/(-11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522965785 to the nearest integer?\nAnswer: 22868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 153213260 to the nearest one million.\nAnswer: 153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = 0, -4*x - 59 = o - 208. Let n = 74 + o. Suppose b = 5*s + n, s = -3*b - 4*s + 661. Is b a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 31.9832. Let s = w + -0.01. Round s to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**4\/18 + 2*m**3\/27 - 2*m**2\/3 + 143. Factor o(a).\nAnswer: 2*a*(a - 2)*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/30 + l**4\/8 - l**3\/2 + 5*l**2. Let t = 19 - 26. Let a(k) = 6 - 5*k + 1 - 5*k**2 - 2*k. Give t*n(i) - 3*a(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -450413 - 4031?\nAnswer: -454444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 163*t**2\/2 - 134*t - 153. List the prime factors of g(9).\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oosoooomsdoodyld. Give prob of picking 1 s and 1 d.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -119 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 10*v**2 + 2*v - 14. Let u be y(-11). Suppose 6*m = u - 7. Let n(d) = d**2 - 16*d - 9. Let t be n(m). What is t rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -302*f + 343. Let r(b) = -149*b + 172. Let t(u) = -3*i(u) + 7*r(u). Find the first derivative of t(x) wrt x.\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - d**2 + 1)*(-231 - 29*d + 231) + (-12 - 11*d + 12)*(4*d + d**2 - 4*d) to the form p*d + x*d**2 + r + z*d**3 and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/22 and -85\/17082.\nAnswer: 187902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 7*q**2 + 4*q + 8. Let g be 8\/(-12)*(1 - 25). Let v(l) = -12*l**2 + l - 4*l**2 + l**3 + 17 - 27. Let x be v(g). Give f(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86018635 greater than or equal to 86018634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -242*z**2 - 332 wrt z?\nAnswer: -484*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2555553 by -5291.\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2845272 is divided by 914?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/1531818 and 29\/241866?\nAnswer: 4595454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*r - 8 = 0, -13*p + 11*p + 3*r = -10. Solve 0 = -p*a + 8*a - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 49 (b) -6753 (c) 1\/21 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, -5, -2.26?\nAnswer: -2.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0 + 20 = 2*s, -v = -2. What are the prime factors of (-10 + s)\/(6\/(-1080))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6156645 to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 + 34*n - 20. Let i be a(22). Let p = 319 + i. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001635338 rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22*(-10)\/(-275))\/((-1)\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:30 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51797\/12 + 4319. Find the common denominator of 127\/24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*p - 6, -4*i - 72*p + 70*p = 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -1\/6*u**3 + 0 + 1\/4*u**4 - 17*u - 1\/10*u**5 + 1\/2*u**2. What are the prime factors of h(-3)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3983.\nAnswer: 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(54) - sqrt(6)) - sqrt(18))\/(4*sqrt(27)\/sqrt(3)) - (-2 + -1 + sqrt(128) + sqrt(128) + -1 + sqrt(128)).\nAnswer: -193*sqrt(2)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -41*n + 8*n**2 + n**3 - 4*n**2 + 40*n. What is z(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + -1*(sqrt(432) + (sqrt(432) + sqrt(432) + 0 - sqrt(432)) + 0 - ((sqrt(432) - ((sqrt(432) + -2 - sqrt(432)) + -5)) + sqrt(432))))**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 4:27 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.08 (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -1369\/3 + 74\/3*n - 1\/3*n**2 = 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7344 and 1728?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 - 5*v + 4. What is the least common multiple of 30 and t(4)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434052511?\nAnswer: 19, 22844869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 + 202*t**2 - 3016*t\/5 + 2008\/5.\nAnswer: -2*(t - 502)*(t - 2)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*r - 2853, -2*a - a = 2*r - 8593. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 - 4*p - 1. Let w be c(3). Let o = -4 + w. Let f be o\/(-25) + 24\/10. Solve -g - 7 = -4*m, -9 = -g - 2*m + f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - s = 4, 5*s - 3*s + 8 = 0. Put -1, 5, 3, j in descending order.\nAnswer: 5, 3, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9894489165 and -2092.\nAnswer: 9894487073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 14*g = -3. Let m(a) = -a**2 - a + 1. Let y(h) = -39*h**2 + 5*h - 6. Let t(z) = -6*m(z) - y(z). What is the remainder when t(g) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*b - 164*b = 460. Suppose -5*q - 5*z - 345 = 0, 3*q + q + 5*z = -281. Let s = q + b. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 14 at least 426\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*u + 15 = 0, 3*u + 26 - 5 = 2*g. Is (g + -3)\/(3\/631) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560736 a multiple of 472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6030, 12059, 18088, 24117?\n\"Answer: 6029*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n**2*v*w**3 - n**2*v*w**2 - n**2*v + 3*n**2 + 6*v**2*w**3 - 14*v**2*w**2 wrt w.\nAnswer: 30*n**2*v + 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 413471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - 2) + -4 - (-88 - -153 - 41)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11200 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55481*l - 17 = -55498*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 + (-8)\/5. Let z be (-3 - (-487)\/111)\/(-2). Let d = z - -1\/37. What is the third smallest value in d, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(-4 + sqrt(2)).\nAnswer: -6*sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 112, 125, 142, 163, 188?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/20 + 7*m**4\/6 - 7*m**3\/3 + 17*m**2\/2 + 2*m + 43. Let k be w(13). Solve -b = k*b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1394629 centuries in decades?\nAnswer: 1.394629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/192*-12)\/(4\/(-96))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.35 - 3.25. Which is smaller: -78 or o?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1)\/(170\/340)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 84.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*o - 5718 = 0, 7*z - 4*z + 2*o - 4290 = 0. What is the greatest common factor of 136 and z?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*((-12)\/(-2) + 4). Let n be 1\/((-5)\/(x\/8)). Let g = -0.219 + 0.519. What is the closest to n in -7, -1\/2, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*r + 44*r + 708 = -19*r. Let d = 4 - 2. Suppose -5*z + 34 = -3*m, 2*m - 4 = -d*z - 0*z. Put r, 4, 1, m in descending order.\nAnswer: 4, 1, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/3 + (-2 - 0). Suppose -5*s - 2*c + 61 = 0, x*s - 4*c - 25 = 22. Suppose 2*h - s - 1 = 0. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8387, -34295, -77559, -138185, -216179, -311547?\nAnswer: -424295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 0 - 1\/12*o**4 - 4*o + 0*o**2 + 1\/12*o**3. Find t such that z(t) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*z + 11616 = -138*z + 31*z for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1281805 by 118.\nAnswer: 1281805\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 3*o - 4*o - 3*o + 5. Let x(t) = -2*t + 4. Let b(s) = 4*c(s) - 5*x(s). Let y(k) = -3*k. Give y(b(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -2\/5 (c) -5 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-1 + 5 + sqrt(605) + 5 + -1*sqrt(605) - (1 + sqrt(605) + 2 + sqrt(605) + -2*sqrt(605)*1 + sqrt(605)))**2.\nAnswer: -308*sqrt(5) + 2469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9001633 or -9001620?\nAnswer: -9001620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/24, 3\/2, -97156 in ascending order.\nAnswer: -97156, -13\/24, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -126?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4734*q + 229*q + 90953 - 293678 = 0 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3194 and -134604.\nAnswer: 42992.5176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*i = -19, 2*n - 6*i + 4*i = 16. Solve 2*w + 3*w + d = n, 0 = -5*w + 2*d - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1509546015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2408 + -1238. Is 30 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 8162?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 8 + (-10 + 2 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {x: 10, b: 4, m: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/((-2)\/(-1))*(-10)\/(-25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -193178, -192886, -192594?\n\"Answer: 292*j - 193470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3234*f**2 - 90*f - 2091. Let b(s) = -294*s**2 - 8*s - 190. Let r(w) = -45*b(w) + 4*d(w). Differentiate r(p) wrt p.\nAnswer: 588*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 7 (b) -1 (c) -9\/8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 156 + 257 = 4*h, -2*o = 2*h - 210. Let l(p) = 27*p**2 - 1. Let j be l(1). What is the highest common divisor of j and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142.5 - -157. Round d to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**4\/9 + 169*y**3\/9 - 127*y**2\/18 - 6218. Factor i(x).\nAnswer: x*(x + 127)*(4*x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 68. Let l be i(33). What is the greatest common divisor of 35 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -720495.834 to the nearest 10.\nAnswer: -720500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - a**2 + a)*(-3 + 2 - 1 + (22 + 25 - 2)*(-2 + 0 + 4)).\nAnswer: -88*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 13*r - 6 + 6 in the form z*r + m and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66374 - -2467.\nAnswer: -63907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x\/(x\/x**(-7)))\/x))**3*(x*x**(-24))\/(x*x*x**6) assuming x is positive.\nAnswer: 1\/x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*f*h**2 + 66*f + 7*h + 3 with respect to h.\nAnswer: 18*f*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -2.7381691.\nAnswer: -8.2145073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/20)\/((-6)\/(-285)). Suppose 4*a = 14 + s. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.9 and 5067983.51?\nAnswer: 5067975.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67.2 + -55. Let b = u - 12.351. Let a = b - -0.16. Round a to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(11 - (17 + -8)). Which is smaller: c or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.0659223 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1945319318?\nAnswer: 2, 317, 1483, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 2*d - 51 - 2*d**3 - 3*d**2 + 20 as x*d**3 + f*d + a + y*d**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*30\/2625*(-42 - -27)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 105.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 17*u + 20, -93*o + 197*o + u - 20 = 100*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36948, 36910, 36852, 36774?\n\"Answer: -10*l**2 - 8*l + 36966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 1141 = -10205. What is the remainder when z is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*x - 5. Let k = x + 3. Let p(b) = 0*b - b**3 + 6*b - 1 - 4*b - 4*b**k - 4*b. Calculate p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-12)*-2*2. Let b = 9 + -5. Sort 3, b, o in increasing order.\nAnswer: o, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/(12\/27)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 13*d = 0. Solve 3*l + 26 = 5*z - d*z, 2*z = -4*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:11 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 + 0.36. What is p rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.098 + 0.568. Let j = c - 0.4. Round j to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14092\/257 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - b + 4. Suppose -5*z + 3*z = 4. Let w = z - -2. What is the units digit of p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*s - 44*s - 27 + 11 + 83*s + 13.\nAnswer: -7*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152 - 158 - 5*k**3 - 3*k**3 + 307)*(-3*k**2 - k**2 + 2*k**2)*(4 - 42 - 12).\nAnswer: -800*k**5 - 300*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 1. Let m(r) = -8*r + 3 - 1 + 4 + 1. Let a(t) = 14*d(t) - 2*m(t). Let u(s) = 3*s**2. Give u(a(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 4809672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/(-12) + 3)\/(13\/468). Let i = 378 + -273. What is the greatest common divisor of g and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1024*h. Let o(i) = -9*i**2 - 151. Determine t(o(b)).\nAnswer: 9216*b**2 + 154624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiaiiikii. What is prob of picking 1 k and 1 i?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 12:49 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-18))\/((-2)\/9). Suppose 0 = -2*h + q. Is 2\/9 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 - h**3 - 2*h + 6*h - 3*h**2 - 2. Let n be x(4). Suppose -5*w = -2*p - 19, 5*w - 11 = -5*p + 3*p. Sort n, -4, w.\nAnswer: -4, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*n**4 + 6038432*n**3\/3 - 12660780371*n**2 + 1688009560*n + 1107794800\/3 = 0.\nAnswer: -7\/60, 1\/4, 12580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 289, 595, 897, 1189, 1465?\n\"Answer: -l**3 + 4*l**2 + 301*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*3\/(-60))\/(154\/280).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11041250, -22082513, -33123776, -44165039?\n\"Answer: -11041263*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.354 rounded to 0 decimal places?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**5 + 3300*c**4 - 1781820*c**3 + 264894030*c**2 - 14578077465*c + 205160586750 = 0. Calculate c.\nAnswer: -1050, 21, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*y + 2*y - 8*y + 35*y in the form a + x*y and give x.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and -0.2141.\nAnswer: -5.5666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*h**4 - 21*h**4 + 2*h**4 - 32*h + 5*h wrt h?\nAnswer: -336*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3584 and 767872?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518645463.\nAnswer: 3, 7, 24697403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1334 - 9342\/7. Suppose 4*x - 6*x = 0. What is the nearest to x in -12, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + 7*z)*(-z**2 + 0 + 0) + (2 + 1 - 2)*(2*z - 4*z + 0*z)*(0*z**2 - 2*z**2 - z**2).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(2*o - 1066*o**2 + 1066*o**2 + 5*o**3) to r*o**3 + n + l*o**2 + t*o and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403750001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11 = j, 8*k - j = 5*k + 13. Suppose -3*h + 535 = k. What are the prime factors of h?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 24*v - 103. Let m be q(-6). Let l = m - -248. Put 0, 3, l in descending order.\nAnswer: 3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 7*z. Suppose z = -5*m - 20 + 30. Find n, given that 0 - 1\/3*n + 1\/3*n**m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**4\/4 + m**3 + m**2\/2 - m + 2. Let r be t(3). Solve -r*u + 0 + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15934810 to the power of 1\/2, to the nearest integer?\nAnswer: 3992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -429*m**2 - 149*m + 58. Give b(-2).\nAnswer: -1360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 8 - -3) + 14 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2455, 123, -4, 5, -1 in decreasing order.\nAnswer: 2455, 123, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 593, 1140, 1687, 2234, 2781, 3328?\n\"Answer: 547*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 = 13. Let c(v) = v**2 + 3*v + 4. Calculate the smallest common multiple of w and c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 199\/3 - 65. What is the second smallest value in -3, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**26*m**(8\/9)*m)\/((m*m*m*m*m\/(m\/(m\/(m\/m**(-3\/13))))*m)\/m**(-5\/7)) assuming m is positive.\nAnswer: m**(19988\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 3*o - 51. Let m(n) = -67*n**3 - 1. Let c be m(-1). Suppose 3*g = g + c. What is the remainder when g is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744209 is divided by 164.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 48970\/(-7055) - 3\/51\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3161 and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256503 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*q**3 + 1661303*q**2 - 309234*q - 152.\nAnswer: 288*q + 3322606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-6)*(-1 - -13)\/1. Suppose 3*s = 5*r - f, 0 = -7*s + 5*s. Is (r\/2 - 5)\/((-1)\/58) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.50337km to nanometers.\nAnswer: 27503370000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = q + 2*q - 15, 0 = -q + r - 5. Suppose 5*w - w - 92 = q. Suppose m - w = 4*p, 2*m + 2*p + 76 = 4*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 - 4*d - 158. What is u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**4 + 4000*p**3 - 134875*p**2 - 5031450*p + 10570320 = 0.\nAnswer: -831, -24, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0405 + -14.319.\nAnswer: -14.2785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.74. Let u = o - -0.44000079. Round u to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(204)*-6)\/sqrt(12)*-1.\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times 15.697?\nAnswer: 847.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12260312276891 + -0.02.\nAnswer: -12260312276891.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let y(k) = -63*k + 78. Give y(s(c)).\nAnswer: 63*c + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = 8 + 52 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 3818\/(-26) + (-31)\/31. Let p = c - -148. Factor 2\/13*r**4 + 2\/13*r - p*r**3 + 0 - 2\/13*r**2.\nAnswer: 2*r*(r - 1)**2*(r + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3614659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/18 + 214\/9 + 1143\/127?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370931691 not equal to 370931691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15437443?\nAnswer: 7, 19, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -19. Suppose -5*b + v + 452 = 0, -b + 2*v + 76 = -p*v. Suppose -b = -3*a - 25. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*v**3 - 1104*v**2 + 4236*v - 4176.\nAnswer: 3*(v - 2)**2*(5*v - 348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 + (1 - (4 + -1)) + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178992279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 41, 1 in ascending order.\nAnswer: -68, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1485 = 5*o + 5*t, 337 = o - 2*t + 25. Calculate the remainder when o is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.07*-0.16599\nAnswer: 0.0116193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6763550783444 and 0?\nAnswer: 6763550783444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49.3 + 69.02. Let s = 19.649984 - a. Let g = -0.07 - s. Round g to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 9971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3. Let x(b) = -2*b**3 + 2*b**2 + b - 1. Let c(t) = 3*f(t) + x(t). Suppose 3*r - 9 = 3*z, -3*r - 5 = -4*z - 19. Determine c(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -13358901 and 0.9.\nAnswer: -13358900.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -13, -30 in increasing order.\nAnswer: -30, -13, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -427425\nAnswer: 8\/142475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 676 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.1 + -0.1. Let j = s + -9. Let n = -1.8 + 1.6. Which is the closest to 2? (a) j (b) 1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266 (base 13) to base 16.\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -876 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5713 is divided by 135.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 10988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 177920903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -3\/4, -1\/5, 3\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.6, -94, 0, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 6*h - 1. Let y be q(-5). Solve -g - 16 = 3*b - 4, y*g + 4*b = -16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 4*z**2 - 4*z + 17. Let o be w(5). Let k = 0 + 3. Suppose v - 8 = k. What is the highest common divisor of v and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4\/15 (b) -3 (c) 6 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46.4 + 46. Let u = 4 - 13. Let z = -50 - -46. Which is the second biggest value? (a) z (b) l (c) u (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.6171 to 1 dp.\nAnswer: -41.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69 and 43169.8.\nAnswer: 2978716.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71857120 and 8.\nAnswer: 71857120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28658 divided by 85?\nAnswer: 28658\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 188, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 2668679?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 80 = 10*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**3 + 4*c**2 + 6*c - 1. Let a(n) = 13*n**3 + 9*n**2 + 11*n - 2. Let m(l) = -4*a(l) + 7*u(l). What is the smallest common multiple of 9 and m(-3)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 25. Let f = -13.3 + 3.3. Let b = f - g. What is the nearest to 0 in -5, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -4, -19, -3, -525 in increasing order.\nAnswer: -525, -19, -4, -3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**3 + g**2 - 1. Let z be f(1). Suppose z + 5 = -y + 2*n, 0 = y - 3*n + 14. What is the third biggest value in y, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 m, and 1 q when three letters picked without replacement from {q: 1, m: 4, v: 1, l: 5, h: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0*s - 1036. Let w = s - 2587\/10. Let q = -40 + 41. Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*j + 91*j + 51*j**2 - 174*j.\nAnswer: 51*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/145386 and 37\/394.\nAnswer: 145386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.085 in -1\/6, -1, 8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = -v, 4*c + v + 3*v + 20 = 0. Let j = 2 - c. Is j > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/132 and -67\/59070.\nAnswer: 118140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(6)\/(sqrt(18) - sqrt(2))))**2 + (sqrt(19) + -1 + 5)**2 + sqrt(76) + 4.\nAnswer: 10*sqrt(19) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 731, 1624, 2871, 4472, 6427?\nAnswer: 8736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 1, z: 3, o: 2}. Give prob of sequence io.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6456*z + 2*v - v = -6430*z - 281, 0 = -3*z + 3*v + 18 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 310125.0059 to the nearest 10.\nAnswer: 310130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 438 divide 27501224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvx when three letters picked without replacement from hlhlvvhxxhhxxl.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 24048.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + m + m**4 + 3*m**4 - 2 + 3143*m**2 - 5*m**4 - 3668*m**2 to the form t*m**2 + g*m**4 + v*m**3 + x + j*m and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-1*(-23)\/(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -607, -0.5, 2, -4, -0.3, 0.4.\nAnswer: -607, -4, -0.5, -0.3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 1 - 12 = -l, 17 = 5*l + f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2348000 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1311 - 9*s**2 + 630 + 660 - 6*s**2. Let r(o) = -2*o**2. Give g(r(l)).\nAnswer: -60*l**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*q - 14 = 0, -5*x = 5*q - 155 + 105 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18223449 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - k + 4*k)*(-3 - 4 - 5)*(1 - 3 + 0)*(212*k**3 - 388*k**3 + 250*k**3).\nAnswer: -1776*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j**(-48)\/j))\/j**(6\/17))**(-31) assuming j is positive.\nAnswer: j**(-27218\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 31 = -x, 5*x + 140*a - 148*a = 164 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - -11 - (62 + -29).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + 15*g - 19. Let z(w) = -4*w**2 - 16*w + 18. Let c(n) = 5*o(n) + 4*z(n). Let b be c(8). Is 0.4 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25740 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 259*j + 269*j - 797*j + 265*j. Let q(p) = -3*p**2 + 43. Give q(g(z)).\nAnswer: -48*z**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(243) + -2) + -1)*-1.\nAnswer: -9*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.198 + 149.802. Let z = f - 149.534. What is z rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768622157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12*o**3 + 2*o**2 + 7*o - 6. Let t(r) = -r**3 - r + 1. Let p(b) = -2*b**2 - 36*b + 1. Let j be p(-18). Give j*l(i) + 6*t(i).\nAnswer: 6*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 671*w**2 - 496*w**2 - 1278*w**2 - 834*w**2 to the form j*w**2 + s + r*w and give j.\nAnswer: -1937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/28)\/((-51)\/(-72)). Let i = -27\/68 + b. Sort -4\/59, -1\/4, i in ascending order.\nAnswer: i, -1\/4, -4\/59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1744 divided by 1.\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q\/(q**18*q*q))\/q*q*q*q**38\/q)**27 assuming q is positive.\nAnswer: q**567","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 38976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*q + 119 + 137 - 40 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 - 2*q + 3. Let r be y(2). Suppose 0*p = -j - 4*p + r, -3*p - 41 = -2*j. Calculate the remainder when 56 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/3 + 0 - -5. Suppose 4*i = g*i. Suppose i = 5*p - 13 - 22. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161\/171 - 20\/19. Let m be (2\/(-5))\/(456\/950). Let d = 3.1 + -3. Which is the nearest to d? (a) 3\/5 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/5 + 6\/(-10) + 3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96538 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 50, 6\/11 in increasing order.\nAnswer: -2, 6\/11, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*l - 5, 5*n + 6 = -l. What is the remainder when 4 + 3 + -4 - (-25 - -8) is divided by (n\/6)\/((-2)\/66)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1014)\/33 + (-900)\/3300?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.0859862 to 2 dps.\nAnswer: 46.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:38 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186380 to the power of 1\/2, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, u: 6}. Give prob of picking 3 h and 1 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 16081*b - 86757*b - 18838*b.\nAnswer: -b**2 - 89514*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464448*c**2 + 8589*c**3 - 464448*c**2.\nAnswer: 8589*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 37*b + 9. Is t(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v - 8*v = 95 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 776546682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 769 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-31)\/(-3968)*352)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -805838, -805845, -805864, -805901, -805962?\n\"Answer: -m**3 - 805837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816023 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -212230 (base 4) to base 7\nAnswer: -10135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4545431 and 90277.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*r + 41*r - 20. Suppose 7*q = -r*c + 4*q + 252, -4*q = 3*c - 196. Calculate the greatest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 884*y**4 - 216*y + 1?\nAnswer: 10608*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 75*g + 27166 = 0. Let b = g - 248. Suppose 78 = 2*p + 5*c - 99, -5*c = -2*p + 147. What is the remainder when p is divided by b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.794879097672 - -1788.794879994672. Let t = o - 1785. Round t to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -23343*p**2 - 70032*p - 9. Give w(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 1801?\nAnswer: -1806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51304 and 273944?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - w)*(-w**2 + 2 + 4*w**2 - 2*w**2).\nAnswer: -w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -631, -630, -627, -622?\n\"Answer: o**2 - 2*o - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/12? (a) -17 (b) 5\/2 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13777, -55371, -124783, -222013, -347061, -499927?\n\"Answer: -13909*f**2 + 133*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s**6))\/s*s\/(s\/(s**5*s*s))*(s**5\/s*s)\/s*s**4)\/((s*s**(1\/3))**39*s*(s*s**5*s)\/s*s**8*s) assuming s is positive.\nAnswer: s**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2. Let j(o) = 3*o - 85. Give i(j(r)).\nAnswer: 27*r**2 - 1530*r + 21675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 69\/(-92) + (-11)\/(9504\/(-12680)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.9973 + -0.8387. Let j = 137.964 + -138. Let f = k - j. Round f to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, 7, 0, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34510544.\nAnswer: 2, 17, 71, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.085 in 1, 3\/5, -8, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*h**2 + 20 + 198*h**2 - 20.\nAnswer: 135*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 105763706 divided by 20347\nAnswer: 5198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10429*r**6 + 45396*r**2 wrt r.\nAnswer: 1251480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94160160 and 2016.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/115379 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**5\/6 - 7*d**3\/6 - d**2 - 969. Let w(k) = -k**2 + 1. Determine q(j) + 5*w(j).\nAnswer: -15*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100001 + 0?\nAnswer: 1111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + sqrt(550))*3)\/sqrt(11) + 3.\nAnswer: 3 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2456804 greater than -2456799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2095 = -0*c. Let l = -1108 - -1958. Let w = l - c. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 1. Let n be i(1). Let k be (n + (-20)\/(-8))*0. Let z be 4\/(2 - (k + 0)). Solve 2*p = 2*v + 10, -5*v - 8 = -z*p + 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:25 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108360642 by -6.\nAnswer: 18060107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67897859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 22. Let t be x(-11). Sort 0.3, t, -0.5, -1.\nAnswer: -1, -0.5, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 256 and 3072.\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18760\/(-695) + 34 + -25 - -18?\nAnswer: 1\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-872)\/(-3) + (-44)\/(-33) + 0. Let z = q - 243. Calculate the highest common divisor of z and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 871 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(32\/(-140))\/(-8)*27950\/1075.\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**2\/2 + 412994165*r - 34112836064809445\/2 = 0. What is r?\nAnswer: 82598833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 102583022 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 16*f - 2. Suppose 12 + 78 = -18*w. Let x(s) = s**2 + 17*s + 1. Let p(v) = w*x(v) - 6*c(v). Determine p(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 60. What is the remainder when i is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*m + 2*m - 40332, -i + 8046 = 3*m. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5 + 1 = 0. Does 14 divide w\/(3 + (-1880)\/625)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*t - 7*t. Let g be 3\/t*32\/24. Let b(i) = -33*i - 2. What is the remainder when b(g) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 5*c + 11 + 36 + 3 = 0, -x + 5*c + 23 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 17, 17, 1, -37, -103, -203, -343?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 3\/2*v**2 + 2 + 5*v. Find the first derivative of o(k) wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75198*g**3 + 31884*g**3 + 100601*g**3.\nAnswer: 207683*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1440, 2886, 4332?\nAnswer: 5778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(567).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 10 = 3*u, -5*u - 3*k - 15 = -9*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 - 628\/5. Which is the closest to r? (a) -5 (b) 0.7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 11*o**2 - 1. Let m be q(11). What is the nearest to m in 2\/9, 3\/4, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 175.517117?\nAnswer: 176.517117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 17, m: 1}. Give prob of sequence sss.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(1\/24*8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 - 2908*f - 20195. Let m be g(-7). Let u(a) = -1. Let v(q) = 3 - 1 + q + 8. Give m*u(h) + 2*v(h).\nAnswer: 2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13bbe (base 16) in base 7?\nAnswer: -454441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 2*y - 2. Let h(i) = -i**2 - i + 1. Let u(a) = -2*h(a) - l(a). Let o(f) be the second derivative of -f**3\/3 + 2*f. What is o(u(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/(-58))\/((-1)\/(-30))*(-11)\/66?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/(d\/d**(-5\/9)))\/d)\/d**(-15) assuming d is positive.\nAnswer: d**(130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/3690 and 43\/337020.\nAnswer: 1011060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/4? (a) -0.1 (b) 407 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 2, x: 1, e: 2, l: 1}. What is prob of sequence lep?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -80*v**2 - 14*v + 17. Let g(q) = -27*q**2 - 5*q + 6. What is -17*g(c) + 6*m(c)?\nAnswer: -21*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21633.\nAnswer: 3, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + 89. Let w = v + -139. What is the greatest common divisor of w and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -80*g**2 - 11. Let r(k) = 85*k. Calculate r(d(p)).\nAnswer: -6800*p**2 - 935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3306 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 416513, 416389, 416265, 416141, 416017?\n\"Answer: -124*m + 416637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 16) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 12004*a**2. Let f(g) be the second derivative of g**3\/6 + 10349*g. Determine f(q(u)).\nAnswer: 12004*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (25 - 4 - 3 - 8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-33))\/(6090\/(-770385))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Let q = 0.6 + -1. Let p = -0.09 + 0.19. Which is the nearest to p? (a) 0.2 (b) w (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoiiffifoviiuuffvfof. Give prob of picking 1 u and 2 o.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -9. Suppose -4 = -0*b - x*b. Let n = 1 + b. Are 3 and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u + 108 = 39*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxsnsnxcssfbfn. Give prob of picking 3 n and 1 b.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - 43 + 43)*(4 + 3 - 5) + 89*n**3 + n**2 - 191*n**3 + 46*n**3.\nAnswer: -54*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 380169934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 - 10\/(-6)*-3 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 57533.056 rounded to the nearest one hundred?\nAnswer: 57500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, 2, 33, -2, -3, 8, -4 in decreasing order.\nAnswer: 99, 33, 8, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2))**8*c\/(c\/c**(-7))*c*c*c*c\/(c\/(c**(-5)*c*c*c*c)) assuming c is positive.\nAnswer: c**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42712, -85426, -128140, -170854, -213568, -256282?\n\"Answer: -42714*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7*-30352\nAnswer: 212464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 238655025 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10819328.\nAnswer: 2, 13, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -30 (b) -26 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 5*j**2 - 2*j - 6. Let q be b(-5). Suppose -q*x = -8*x. Let a be 0 - (-2 + 1 + x). What is the closest to a in 2\/15, -0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**4\/24 + 8*y**2. Let x(h) = h + 4*h + 7*h**2 - 5*h. Determine p(x(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-27) - (-3542)\/(-2277)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/3 + 653*j\/3 + 12220 = 0.\nAnswer: -52, 705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -446, -5 in ascending order.\nAnswer: -446, -7, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.6 + -19.6. What is the nearest to 19 in -0.2, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -705 divided by -73877?\nAnswer: 705\/73877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1126 + -1120.67. Let z = f + -7.7. Let b = -1.37 - z. Are -19 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -801 + 23227\/29. Which is greater: n or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 491.7 - 492. What is the nearest to -3\/2 in -1\/9, -1, -0.25, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1989.012 - -1999. Let u = h + -10. What is u rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, e: 5}. Give prob of picking 3 q.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 3*c + 206. Let z be (-312)\/c - (-1)\/(-4). Solve -z*n - 2*n + 5 = -3*a, 3*n + 3*a = -21 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(3\/11))\/k)*k)\/(k\/(k*k*k**14\/k*k*k))*(k**(1\/5)*k)**(5\/4) assuming k is positive.\nAnswer: k**(435\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 21536842?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, v: 3}. Give prob of picking 3 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:34 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**6\/3 + 22*a**5\/5 - 31*a**4\/2 + 14*a**3 - 394. Let h(b) = 0. What is b?\nAnswer: 0, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208969 divided by 208969.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015850183 rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**3\/6 - 5*r. Let v(x) = 1. Suppose -6*m + 3*m = -4*y + 16, 2*y = -4*m - 14. Calculate y*v(h) - d(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -541*s**3 + 429364*s + 201595692?\nAnswer: -1623*s**2 + 429364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5025487176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 38*o + 3. Let x(f) = 39*f + 4. Let m(l) = 4*b(l) - 3*x(l). Let v(g) = 2*g. Calculate m(v(j)).\nAnswer: 70*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, -7\/87, -3 in ascending order.\nAnswer: -147, -3, -7\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2. Let p(v) = 489*v**2. What is k(p(z))?\nAnswer: -478242*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 3:35 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/3591)\/((-2)\/6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/2, -26, 56?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32176 - 32173. Suppose -2 = -2*r + 6. Let s = 2.1 + -2. Which is the fourth biggest value? (a) o (b) s (c) r (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3\/5 + 82426*b**2\/5 + 741688*b\/5 + 659264\/5 = 0.\nAnswer: -41204, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 1. Suppose 0 = i + 4*h - 25, 0 = -r*h + 20 + 5. Solve 3*p - i = 3*x + 2*p, -4*x = -3*p + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31110233102 - -23?\nAnswer: -31110233013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:50 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 146 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-203)\/3*(-66)\/30. Let w = m - 149. Which is the biggest value? (a) -1\/2 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*q**2 - 211*q wrt q?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 4620?\nAnswer: 4634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*w + 11, 6*w = w - 15. Solve -4 + 0 = z + i*r, 0 = -3*z - 5*r - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 14) in base 12?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 192\/(-128) + 745793\/(-135598) + 7. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + sqrt(304) + (2*sqrt(304))**2*-3.\nAnswer: -3649 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3575107121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150*c + 10144*c + 443020 = -201217 - 214107 for c.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*k - 229*k + 79*k - 70*k**2 + 2 + 79*k in the form j*k + z*k**2 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 451756*g**2 - 7*g - 10317028?\nAnswer: 903512*g - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o + 4. Let z = 250 + -9251\/37. Is z bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 12*f - 9. Let n be m(11). Suppose n*r + 2*a - 2381 = -a, a = 4*r - 4783. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5112 and 216337.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1)*(-5)\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.4 + 7.4. Let t = 657758291.00000052 + -657758325. Let c = t - g. Round c to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -94. Suppose 15 = -3*s, -2*c + 7*c = 4*s + h. What is the second derivative of -3*a - c + 3*a**5 + 5 wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-1 - 5)\/(-6). Solve -q - k*m = q + 2, 4*q + 2*m = 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 9 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -24280 less than or equal to -24285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1397000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2 + 1617386*b + 4852176 = 0?\nAnswer: -3, 808696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -7.51\nAnswer: 45.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8119 + -5028. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6339382 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(468) + (-1 + sqrt(468) - sqrt(468)) + 4 + sqrt(468) + 1 + -6*((4 + sqrt(468))*-3 + sqrt(468))*6)**2.\nAnswer: 389832*sqrt(13) + 2755489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + 3.1. Let z = v - 3.6. What is the nearest to 0.1 in z, -2, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1008)*1 + -2 - (sqrt(1008) + -1 + 2 + sqrt(1008) + sqrt(1008))*1)**2 + 2.\nAnswer: 96*sqrt(7) + 4038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3242 (base 6) to base 11\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from vvbdbvvdavdbvbb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56\/81 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 9. What is the highest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.0269, -8, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-354)\/(-295) - 608\/140) + 1*3\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425306 divided by 4.\nAnswer: -212653\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35594 by -28.\nAnswer: 17797\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45899628 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 6*s - 40. Let r be m(13). What is the greatest common factor of r and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -5*k**8\/84 - k**5\/4 + 415*k**4\/12 + 641*k**2. Find the second derivative of f(m) wrt m.\nAnswer: -400*m**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/940448 and 5\/705336.\nAnswer: 2821344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 8:10 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -139255\/3 < -46419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 2*f**2 + 6*f**2)*(-126*f + 557*f + 219*f).\nAnswer: 2600*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.06 or -4\/37?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -38. Differentiate -11*n**2 - 5 + 2 + b - 3 wrt n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/42*-1)\/((-54)\/(-315))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 317\/6340 + 61799\/20 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5572763533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 26*t**2 + 17*t + 24. Let g be y(-12). Suppose 0 = -2*r + 8, -4*r = 4*s - 2*r - g. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(168)\/(sqrt(3) - sqrt(27)*5))\/(2*1*sqrt(288))*-6.\nAnswer: sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (780\/(-240) - 405\/(-20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4 + 3)*(-16)\/(-20). Suppose -w*o = -22 + 24. Sort 2, 0, -27, o in ascending order.\nAnswer: -27, o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 988425882.932454283 + 0.067545717. Let d = -988425918.00000063 + t. Let f = d + 35. What is f rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 15 = -3*f - 6, 102*f = -85*f - 3*l + l - 1124 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 2*z + 2*z + 5*h = 17, 2*h - 17 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4422857 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1751 - 824.3249. Let n = -825 - u. Which is the nearest to 0.1? (a) n (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*d + 2*v, 0 = 2*d + 5*v + 3 + 15. Let f be (-52 - -53)\/(d\/(-6)). Which is the nearest to -6? (a) -0.2 (b) 0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*o + 505*o + 2200*o to p*o + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*j - 49 - 41 = 9, -17*f - 2*j + 62 = -16*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*(511\/42 - 12) + 6\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = o + 5*z + 1, -2*o + z + 2 = 0. Let b(l) be the first derivative of -1\/3*l**3 + 1 + 0*l**2 + o*l. Let f(p) = 8*p**2. What is f(b(d))?\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 90219 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -10.3883, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 0 - ((-14 - -28) + -10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -123*d**2 - 6269*d + 206. Calculate s(-51).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 604944, 604887, 604830, 604773, 604716, 604659?\nAnswer: 604602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xde when three letters picked without replacement from xuexuxexdudede.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2747 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4353662?\nAnswer: 2, 2176831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f + 11. Let b be n(-3). Suppose -o + x = 2*o + 230, -5*x - 390 = 5*o. What is the smallest value in o, b, 2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*f + 9 - 1, -16 = -4*a + 3*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + y**2 + 5*y**2)*(-3*y**3 + 5*y**3 - y**3) + (-46*y**4 - 13*y**4 + 27*y**4)*(-11 + 7*y + 11).\nAnswer: -221*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwfmw. What is prob of picking 1 f, 1 w, and 1 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 4*k + 3. Let v be b(5). Calculate the common denominator of -49\/27 and 561\/20*(v\/(-36) + 0).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 14 - 14)*(1 - 7 + 13)*(1 + 2*p - 1)*(-p - p + p) as f*p**2 + u + d*p and give f.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25373737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 34*g. Let n(l) be the third derivative of -l**6\/90 + 6*l**3 + 2*l**2 + 34. Let x(d) be the first derivative of n(d). What is x(v(r))?\nAnswer: -4624*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2.6, 0, -4, -2\/9 in increasing order.\nAnswer: -4, -2\/9, 0, 2.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -2*o**5\/5 - 43*o**4 + 855*o + 2185. What is the derivative of v(n) wrt n?\nAnswer: -8*n**3 - 516*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -55540425?\nAnswer: -55540432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*r + 3*r. Suppose -r*w + 2*w + 88 = 0. Let b(s) = 73*s - 62. Let k be b(1). What is the greatest common factor of w and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 4, 7, 822 in descending order.\nAnswer: 822, 7, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/5, -6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5515984 by -5515984.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 >= 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13059417*k - 13059417*k - 35*k**2.\nAnswer: -35*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - ((2 - 100) + -2). Suppose 5*z = 3*z + n. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -326*u**4 - 1880*u + 10534840 wrt u.\nAnswer: -1304*u**3 - 1880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614762 divided by 8?\nAnswer: 807381\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -240 + 342. Let j = u + 10. What is the least common multiple of 10 and j?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1. Let u(j) = -13*j**2 - j + 6. What is 5*s(k) + u(k)?\nAnswer: -13*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1.5 (b) 0.2537 (c) 4 (d) 5\/6 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 13*d - 32. Let o(g) = -g**2 + 6*g - 16. Let x be o(7). Let s = x + 38. Let r be y(s). What is the second biggest value in 0, -8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1277 divide 62903578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8876*i - 90310*i - 86573*i - 160303*i + 57031*i.\nAnswer: -271279*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 1, m: 2}. What is prob of sequence qmm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**2 - 17*x + 7. Give r(5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 - 234. Let f be (-70)\/o + (1 - 2). Are f and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3010, -3, 172945 in descending order.\nAnswer: 172945, -3, -3010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -34248 + 28*m**3 + 34275 + m**2 + 17*m**3 + 0*m**2 in the form q*m**2 + s*m**3 + t*m + v and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 4*c + 3. Let i be 2\/((-3)\/(60\/8)). Give v(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 234, 10, 11, 3.\nAnswer: 3, 10, 11, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -83414905 divided by 5\nAnswer: -16682981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*1\/26 - 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1057, -1058, -1059, -1060, -1061, -1062?\n\"Answer: -w - 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33875 is divided by 80?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -177089291, -177089293, -177089295, -177089297, -177089299, -177089301?\n\"Answer: -2*a - 177089289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 + 10 = 0. Let y(c) = 18*c - 4. Is 25 a factor of y(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 4*g**2 - 3*g - 1. Let i(t) = 930*t**2 - 7*t - 931*t**2 + 2 + 10. Let l = 84 - 92. Let c be i(l). What is z(c)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8*i = -95. Solve -2*f - 2*q = -6*f + 2, 2*f - 5*q + i = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 q when four letters picked without replacement from rrrrqqsrqqrqqrrqrqr?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y + 21*y - 10*y + 13*y. Let o = -16 + 37. Let q(v) = -3*v + o - 21. Give d(q(a)).\nAnswer: -51*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 6 - -8 - (4 - 19 - -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6419, -6587, -6761, -6941?\nAnswer: -7127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6764725 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12331315 - 0.12341. What is n rounded to six decimal places?\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/22 and -61\/660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110 + -1110100000111111?\nAnswer: -1110011111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2258 and 1038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -74.954. Which is bigger: -0.76 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -s + 3, 4*s + o - 19 - 61 = 0. Let q(z) = z**2 + 11 + s + 4*z - 28. Let h(t) = t - 6. Let a be h(3). Calculate q(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z**2 + 5*z**3 - 1 - 27 - 10 + 8 - 5*z**4 - 5*z = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l + 2 + 1 - 3*l - 21.\nAnswer: 18*l - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 less than 15\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2.6. What is the nearest to 1 in -0.3, v, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15654917 and 9138.\nAnswer: 93929502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73965 - -73963. Let d = 41038\/45 + -912. Which is the third smallest value? (a) 4 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(231)\/sqrt(112))\/(3*sqrt(15)\/sqrt(5)).\nAnswer: -1 + sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q - 3. Determine u(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 92, -80060 in decreasing order.\nAnswer: 92, -2, -80060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/22594869 and -28\/286011?\nAnswer: 22594869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 5105?\nAnswer: 5110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -4 - (1 + -11) - (-3 + 23 + -59).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -2*f + 0*f**3 + 0*f**2 + 23 - 1\/4*f**4. Let a be t(-3). Solve -6*s + s + a = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 39 + 294. Let a = -1098 - -1553. Suppose 7*q - 63 = a. What is the highest common divisor of k and q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2124752 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 6*h + 26, -4*o - 1742 = -2*h - 1762 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200202122212 (base 3) to base 14.\nAnswer: 98868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*p + 20630 + 232 = 0 for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 3*i**2 + 0*i**3 + 0 + 1\/420*i**7 + 0*i - 1\/240*i**6 + 0*i**5 + 0*i**4. Factor f(g).\nAnswer: g**3*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1095311532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -233 - -226. Let c(i) = 3*i + 2. Let w(g) = -6*g - 5. Calculate x*c(q) - 3*w(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l**5 + 252702*l**4 + 555910*l**3 + 353754*l**2 + 50536*l = 0.\nAnswer: -25268, -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 113234\/(-33)*21\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-1))\/2*(-34)\/1. Suppose -19*c + o*c - 8 = 0. Let d(s) = -s**3 - 2*s + 3. What are the prime factors of d(c)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 3, t: 3, w: 5, k: 2, l: 1}. Give prob of sequence kbb.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 5\/829 (c) -0.4 (d) 0.8 (e) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-6))\/((-2)\/(-6)). Let h(z) = z - 3. Let t be h(o). Let c be 5\/(-6)*2\/(-5). Which is greater: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -418 - -422. What is the nearest to 1\/3 in -0.3, -3, 2\/7, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/2016 and 11\/168.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 565889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14\/11, -31, -0.041, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3571 plus -9120244703?\nAnswer: -9120248274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 5 - 5 = 0. Solve p = 3*q - 3*o + 20 - 2, 2*o + 13 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1662734 = -51*g + 7848881. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/6 + 2*p**3 + 7*p**2\/2 + 5*p\/3 = 0. What is p?\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v. Let w(j) = 89*j**2. Calculate b(w(m)).\nAnswer: -178*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 16*u - 60. Let t = -2 + 21. Suppose r - u - t = 0. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141*t**2 + 17*t - 141*t**2 + 421214*t**3 - 420884*t**3)*(1 - 2*t - 1).\nAnswer: -660*t**4 - 34*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooksh. What is prob of sequence osok?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 11. Let p be m(10). Let z = -72.079 - -72. Let i = -0.421 + z. What is the third biggest value in i, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5985, -5986, -5987?\n\"Answer: -x - 5984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bd873d - -3?\nAnswer: bd8741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -11, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 273*k**4 - 239*k**4 - 691*k**4 - k**4 - 3*k**4 + 2*k**4 + (-2*k**2 + 2 - 2)*(0*k**2 - 3*k**2 - k**2) - 2*k**3 + 2*k**3 - k**4.\nAnswer: -652*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -25?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzz. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 7*q - 9. Let p(l) = -2*l**2 + 5*l - 4. Let n be p(3). Calculate s(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 (base 15) in base 5?\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*f + 15 = 0, 0 = -0*f + f + 1. Put s, 0.4, 19\/4 in decreasing order.\nAnswer: 19\/4, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 k when four letters picked without replacement from kvvwvvwvkkkwkvvkbv?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18464748.\nAnswer: 2, 3, 863, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 126*u - 598. What is s(7)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.12 (b) 2\/7 (c) 2\/3 (d) 0.034 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.84 and 458.\nAnswer: 453.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2098, -4198, -6298, -8398, -10498?\nAnswer: -12598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940824012.\nAnswer: 2, 3, 37, 2118973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brrbbosb. What is prob of sequence rsb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 * 0.01.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4675061266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4572 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: Sort 0.2, 5008, -3\/8, -0.1 in increasing order.\nAnswer: -3\/8, -0.1, 0.2, 5008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 6. Let d be x(-6). Suppose -m - m + 4 = d. Suppose 2 + m = 2*a. Solve -7 = -a*l - 3*y, 15 = -5*l - 2*y + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 0.037, -1\/4?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 60 = 4*k, -3*k = -k. Suppose -11*n + 36 = 7*n. Solve 0 = p - 5, -6*u - g = -n*u - 2*p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 11. Let m be g(-7). Which is the third smallest value? (a) m (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-1)\/(-4 - (-225)\/57)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 348 = -4*h + 120, -5*x + 3*h = -545. Let z be (-4)\/(-5)*(-30)\/(-12). Suppose -z*i = -1550 + x. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**5 + 45*j**4 - 222*j**3 + 396*j**2 - 216*j = 0. What is j?\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*q**2 - 879*q**2 - 738*q**2 + 5*q**3 - 341*q**2 - 177*q**2.\nAnswer: 5*q**3 - 2308*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + k - 7. Let r be l(0). Let y(f) = -34*f - 14. Does 16 divide y(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eec when three letters picked without replacement from mccemmmemeemmcecm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-203064)\/(-16))\/(-10 + 1). Let k = 1401 + f. Calculate the common denominator of 53\/4 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3)*(-12)\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 683 - 3411\/5. Let s be (-2)\/5 + (-34)\/(-10). Let h = 30 + -16. What is the second smallest value in l, h, 0, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*s - 140*s + 2321 = 0. Which is smaller: 2322 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 99*w**2 + 1450*w + 146. What is z(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/17 bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106691616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 9 + -9 - (-16 - (4 + -2))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 827120 divided by 413560?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 690*x**2 + 4*x. Let f(d) = 4*d. Give f(h(z)).\nAnswer: 2760*z**2 + 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 + 2*f**2 + 135*f**3 - 8 + 67*f**3 - 4*f + 1386*f**3. Is v(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2\/15*g**4 + 0 + 2\/15*g**2 - 4\/15*g**3 + 4\/15*g = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s + 2 = -a, 3*s - 5*a - 8 = 0. Let h(m) = 1 - m - 1 + 4 + s. Suppose 13*n = 7 - 98. Calculate h(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 1. Let g = -125 - -127. What is the closest to g in -4, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -314 - -467. Calculate the remainder when o is divided by 81.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126923350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**4\/24 + 68000*m**3\/3 - 2*m**2. Let h be q(0). Suppose 0*l + 2*l - h = 0. What is l rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(204\/8)*-1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 11) + (5 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2072 at least -2078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2 + 340*j + 335 = 0. What is j?\nAnswer: -67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvnn when four letters picked without replacement from {u: 1, n: 2, t: 2, v: 2, l: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38916 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y**3 - 2*y**2 + 2. Let p be c(1). Suppose -p - 2 = -3*w. What is the units digit of 1*w*6\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 0. Let x(g) = -3*g**2 + 9*g - 2. Let m(t) = t**2 - 1. Let h(o) = y*x(o) + 2*m(o). What are the prime factors of h(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5361137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1054.1*-3\nAnswer: -3162.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0*10\/(-90))\/2. Factor 2\/3*d**3 - 4\/3*d + l + 2\/3*d**2.\nAnswer: 2*d*(d - 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 9, f: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5 = -17. Let h be b\/(-2) + (-5 - -8). Let a(u) = 5*u - 4. Let x(o) = -4*o + 3. Give h*a(j) + 6*x(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24*1)\/(3\/(-2)). Suppose l = 4*p - t + 3*t, -4*t = -2*p - 12. What is the least common multiple of p and (3 - 6) + (3 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9805169, -19610233, -29415307, -39220397, -49025509, -58830649, -68635823?\n\"Answer: -z**3 + z**2 - 9805060*z - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47947, -47949, -47951, -47953, -47955, -47957?\nAnswer: -47959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49827, 49823, 49819, 49815, 49811?\n\"Answer: -4*i + 49831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -84. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 9 = 5*u, -y + 3*u = 10. Suppose -b - 44 = -y*b. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m - 13. Let g be y(-3). Let o be 1*(-1 + 3)\/g. Suppose 0 = -3*x + a - 19, x - 3*a + 5*a = 3. Put -1, o, x in descending order.\nAnswer: o, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -66, -63?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -148 + 0*r**2 - 1\/5*r**5 + 119\/3*r**3 - 3*r**4 + 0*r. Find the third derivative of i(d) wrt d.\nAnswer: -24*d - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17534 - -37783. What is the ten thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.01024?\nAnswer: 0.01024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5*p + 3*p + 51 = 13*p, 5*t + 5*p = -195 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154938 a multiple of 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(162)*3*-6)**2.\nAnswer: 52493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 - a?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**5\/7 + 29325*k**4\/7 - 71853231*k**3\/7 + 929435067*k**2\/7 - 102003138*k - 1715339592\/7 = 0?\nAnswer: -1, 2, 12, 4881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*25\/(-10)*(-88)\/1320\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 43, 45, 49, 55?\n\"Answer: i**2 - i + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 22 + 47 - 21 = 0, 0 = -10*o + 14*o - 4*t - 6 - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1142963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 17*q - 7. Let b be v(9). Suppose 0 = -b*z - 26 + 24. Is -2*(z - 494\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1914 = -p - 1928 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/35*(361\/(-38) - -13).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172901?\nAnswer: 37, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1177 + 1173. Sort 46, 0.04, w in decreasing order.\nAnswer: 46, 0.04, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/1039 + 1059\/5195. Let n be 3\/2 + 3\/10. Determine y so that -4\/5*y**4 + 0 - 6\/5*y**2 + x*y + n*y**3 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -y + 6858, 3*m - 3006 = 3*y + 1098. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5184, -5189, -5194?\nAnswer: -5199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 7*t - 2*t + 25, d = -4*t - 20. Suppose 0 = q - d*q. Solve 0 = -q*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-224))\/(24\/42)*(-44)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49880*j**2 + 97*j - 191 wrt j?\nAnswer: -99760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 837, 31, 6, -1\/6, -2\/3, 1, -2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*t + 14243 = 0, t = 52*o - 51*o - 4736. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7500*x + 23356*x + 41964*x.\nAnswer: 57820*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -24428353 <= -24428354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8544\/656 - 13)*1*-3. Let o be (0\/2)\/((-4)\/2). Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 12. Let g be 92\/10 + ((-104)\/20 - -5). Let r be j(g). Solve 4*w + 10 = -f + r*f, -5*w = -2*f + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 > -734\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*f - f - 9 = 0, 5*f = -x + 11. Let w(b) = -10 - x + 2 - 167*b + 127*b. Let o be w(2). Round o to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*k + 3*k**4 + 9*k + 5*k**4 wrt k?\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10445*j = 1140*j - 6075*j - 569060 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9944019?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -714*p + 378. Let b(n) = -55*n + 29. Let l(d) = -77*b(d) + 6*s(d). Find the first derivative of l(v) wrt v.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3176.96 + -16477097?\nAnswer: -16480273.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12349 = 2*r + 41*b + 312*b, -3*r + b = 44 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32.1 - -3.9. Let p = -815 - -779.16. Let z = c + p. What is the second smallest value in 0, -5, z, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 1, -l = -3*r + 2*l + 102. Suppose 18 + 122 = 4*t. Find the second derivative of -i**4 - t*i - 20*i + r*i wrt i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i = -13*i - 36. Solve i*v = 11 - 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 11 = -5*d, -75*u = -70*u + 5*d - 15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -5 (b) 2 (c) 6\/37 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -53. Let h = -9 - -11. Suppose q + g*l - 64 = 151, -h*q - l = -442. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 14\/16)*(-7)\/(-42). Let m(z) be the first derivative of g*z**4 + 21\/8*z**2 - 7 + 9\/4*z + 5\/4*z**3. Determine p, given that m(p) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 17. Suppose 4*s + 3*j - 11 = 0, 2*s - o*j - 1 = -j. Solve 15 = n + s*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.5 + -26.48. Let x = p + -0.02. Let l = 234 - 236. Sort 3\/2, l, x.\nAnswer: l, 3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgzzkmygyyykgyskygyy. Give prob of sequence sz.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11060932 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: Find the common denominator of -41\/219 and 41\/15.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33772 is divided by 16881.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpnlnffg. What is prob of picking 1 f, 1 g, 1 p, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 12. Calculate the remainder when 15 is divided by (s\/(-4) - -2)*-12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = 22*u - 880. Suppose -9*w - u = -5*s - 4*w, 5*w = -3*s + 20. Solve 7*q - s*q = -2*n + 10, 2*q - 3*n = -10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*l + 7*m - 3*m, -2*l = 4*m - 16. Let q = l + -16. Let r = 3 - q. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1329617 or -102.4?\nAnswer: 1329617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 23. Let w = 44 - 53. Let n be d(w). Is (2\/(-6))\/(n\/21516) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**4 + 2*b - 11. Let t(g) = g - 1. Let n(z) = 2*t(z) - y(z). Find the first derivative of n(o) wrt o.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 62*v - 95 - 83. Which is the second biggest value? (a) 0.298 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*y - 3*y + 18, 0 = 4*d - 4*y + 8. Suppose 10 = d*c - 2*c. Let b = -6 + c. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*a + 1217 = 12409 + 2778 for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000268291 rounded to seven decimal places?\nAnswer: 0.0000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**4\/12 - 11*r - 7. Let k(x) = 182*x**2 + 4. What is o(k(h))?\nAnswer: -33124*h**4 - 1456*h**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**4 + 135*a**3 - 995*a**2 - 10486362*a.\nAnswer: 48*a**2 + 810*a - 1990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4023.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -665982.9599999 + 665983. Let s = k + -0.04. What is s rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -5*m**4\/12 - 44*m - 173. Let h(s) be the first derivative of j(s). Let l(z) = 4*z - 13. Give h(l(d)).\nAnswer: -80*d**2 + 520*d - 845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 854 or 12370?\nAnswer: 12370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*b**2 - 593*b + 24*b**2 + 589*b to c + s*b**2 + t*b and give s.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -8) + -8 - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(-6*l + 4*l + 3*l) + (-14 + 6 - 57)*(-7 + 2 + 5 - 57*l - l) to b + w*l and give w.\nAnswer: 3769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/14 and 73\/2052.\nAnswer: 14364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7972777*r**2*z + 12046*r**2 + 47*r wrt z?\nAnswer: -7972777*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*f + 32*f - 11*f + 43*f.\nAnswer: 298*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -46244 (base 14) to base 16\nAnswer: -29a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5661 is divided by 186.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 124 - 23*g**2 - 10*g + 2*g + 18*g**2. Let m(x) = -2*x**2 - 3*x + 42. Let j(q) = -8*m(q) + 3*t(q). What is the first derivative of j(d) wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33e2f - 4?\nAnswer: -33e33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1154, -1032, -928, -848, -798?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8*z**2 + z + z**3 + 8*z**2)*(-9*z + 72 - 72).\nAnswer: -9*z**4 - 9*z**2 - 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5 = 5*b, 0*b - 3 = q + 3*b. Let w(d) be the third derivative of q + 1\/8*d**4 + 2*d**2 - 1\/24*d**3 - 1\/5*d**5 + 2\/15*d**6 + 0*d. Factor w(h).\nAnswer: (4*h - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) - (-95090)\/90*-122. What is i rounded to the nearest one thousand?\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 193973 - 193977.99982. Let r = l + 5. Round r to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*k + 6393 = -1123, -k = 9. What is the remainder when y is divided by 233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-3\/2)\/(s**(-2\/3)\/s))\/((s*s**(2\/3)*s)\/s*s*s*s\/(s\/(s**(-1\/3)\/s))))**(-11))**(-4) assuming s is positive.\nAnswer: s**(-286\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008909 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - -1*(-1 - -2). Suppose 3*o - j = -o. Suppose 0 = -n + 2*s - 105, -o*n + 0*n - 234 = 4*s. What is n rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 731484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 23902*f + 333. Let a(z) = 288*z + 4. Determine 333*a(v) - 4*b(v).\nAnswer: 296*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000102302 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(20)\/sqrt(4) + sqrt(80)*2.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -159*z + 487. Let j be c(3). Solve 8*b - j*b - 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6612 a factor of 4455681336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - t. Let g be k(1). What is the derivative of -3*f**2 + 2*f**g + f**2 - 2 + 2*f**2 wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 10:50 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**3 - 1. Let l be n(-1). Let f(y) = -2*y + 2. Let c(v) = 2*v - 3. Let m(p) = 7*c(p) + 6*f(p). What is the units digit of m(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/(12\/112). Let a(b) = b + 16. Let h be a(x). Suppose 2900 = h*y - 5900. Round y to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f**4 + 123*f**2 - 15*f - 26827.\nAnswer: -16*f**3 + 246*f - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 times -2?\nAnswer: 1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 786651.7 days?\nAnswer: 67966706880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from xdddtcdckdtctdwdxkdd?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*j + 11 - 13*j + 4*j wrt j?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 - 3*w. Let q(l) = -l**3 - l**2 - l. Let v be ((-12)\/(-18))\/((-2)\/(-33)). Suppose 5*s = g + g + 19, -g - v = -3*s. What is s*q(r) - k(r)?\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvmmmpvmvmvavp. What is prob of picking 1 p and 1 a?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-78)\/(-18) - 4\/(-6). Suppose 0*n = s*n. Suppose n*l - k = 4*l, 2*k - 7 = -l. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2441401, 2, -20 in descending order.\nAnswer: 2441401, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 10:33 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604*h = 650*h - 230. Put 26, 2, 0, 93, h in ascending order.\nAnswer: 0, 2, h, 26, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 2*m**2 - 2*m\/7 - 2.\nAnswer: 2*(m - 1)*(m + 1)*(m + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -8, -1\/4, 61?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/11 - 2*m**4 + 186*m**3\/11 + 310*m**2\/11 - 1816*m\/11 - 1920\/11 = 0. What is m?\nAnswer: -16, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -799, -0.2, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -2, 68, -1 in descending order.\nAnswer: 68, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 1. Let g(p) = l*p**2 + 7*p**2 - 2*p - 3*p**2. Let q be g(1). What is the highest common divisor of q and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178992 - 15*b**2 + 178992.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 707176 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 10*a - 8. Give p(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -5*u**4\/4 + 35*u**2\/2 - 13*u - 2. Differentiate v(d) wrt d.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 5\/3*a**3 + 8*a**2 + 0 - 1\/60*a**5 - 5\/24*a**4 + 0*a. Give j(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25099459*o - 20947827 wrt o.\nAnswer: -25099459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + u - 3*u)*(0 + 0 + 2*u**4) - u**4 + u**4 - 2*u**5)*(12 - 10 + 16).\nAnswer: -72*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25391 and 1.\nAnswer: -25391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-1*-1)\/(sqrt(12) + 1*sqrt(588) + sqrt(588)) + (sqrt(567) + sqrt(567) + sqrt(567) + -2)**2 + (sqrt(7) + -5 + 0 + sqrt(7) + sqrt(7))**2.\nAnswer: -2069*sqrt(7)\/15 + 5195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264207943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-10)\/(-75)) + 14. Let y = -37 - -21. Sort y, q, 2 in decreasing order.\nAnswer: 2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1624497.13 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/35 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21174 = 2*h + 21150. Let u(r) be the first derivative of 0*r**3 - 7*r + h + 11\/4*r**4 + 0*r**2. Differentiate u(a) with respect to a.\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 37. What is c(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 833938969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52993643?\nAnswer: 29, 1827367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -1)\/(6725\/1614)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 5 + 4\/(-2). Suppose -4*p = -f*p + 400000. Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/3 - 59720*g**2\/3 - 1373053*g\/3 - 437778 = 0. Calculate g.\nAnswer: -59697, -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6930, -13701, -20472, -27243?\nAnswer: -34014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(100)\/(sqrt(10)*-1)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -548931\/4 - -131440. Let i = l + 416995\/72. Calculate the common denominator of 48\/5 and i.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/20)\/((264\/(-80))\/(-11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/5 - 36*f**3\/5 + 166*f**2\/5 - 132*f\/5 = 0. What is f?\nAnswer: 0, 1, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 5*b - 6. Let y be d(-6). Suppose -3*a - y = -6*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120384*q**5 + 2*q**3 - 27828*q - 4 wrt q.\nAnswer: 2407680*q**3 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + 2*a)*(-63 + 31 - 18).\nAnswer: -100*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 4, 33 in ascending order.\nAnswer: -76, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 15 = -4*o - 112, -4*o + 8 = 0. Suppose -2*j + 30 = 3*j. Suppose -g = -j*g + z. Solve 12 = 4*b + 2*p, b + 5*p + g + 8 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(238)\/(sqrt(21)\/sqrt(3)))\/(sqrt(2) + sqrt(2) + (sqrt(162) - 2*sqrt(162)) + sqrt(2)).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0. Let z = 0.09 + -0.09. Let g = z - o. Put g, 2, -5 in descending order.\nAnswer: 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 31. Suppose 0 = 5*t + 5*k + 9 + 1, -q*t + 4*k = -2. Let w be -3*1\/3 + t. Sort 4, 2, w in ascending order.\nAnswer: w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*a - 21 + 3, 0 = -4*a + t + 4. Let i = 25 - 19. Let l(v) = -i*v + 13*v - a*v**2 - 7*v. Let c(b) = 3*b. Give l(c(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2264 or 2262?\nAnswer: 2264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l - 235*l + 7766230 = -142. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by (1 + 20\/4)\/(15\/35).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, l: 3, e: 2, x: 4, i: 3}. Give prob of sequence lix.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3240.89 - 3254. Let l = 13 + j. Let g = l + 5.11. What is the smallest value in -2\/13, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001100010101 + 1000101000?\nAnswer: 10001010100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -97977294 divided by -3\nAnswer: 32659098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k**2 + 31*k - 436. Let x(a) = 39*a**2 - 154*a + 2182. Let w(j) = 11*r(j) + 2*x(j). Calculate w(-43).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 9111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -30 (c) 0.4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*f = 14, 3*s + 3 = 3*f + 6. What is the least common multiple of s and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 + -85. Suppose 0 = 3*d + 2*p - 5, 3*d = -5*p + 7 + 1. Calculate the smallest common multiple of 3 and (d + 0)\/(b\/114).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168819 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: Convert -a37 (base 16) to base 14.\nAnswer: -d4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642004171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 34, 45, 52, 55, 54?\n\"Answer: -2*h**2 + 21*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-361)\/2 + 5)*(15 - 41). What is the greatest common factor of 27 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 5:46 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 786615799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180481 and 4130.\nAnswer: 1804810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(114) - -1*sqrt(114) - sqrt(114))*-4 + sqrt(114) + (1*sqrt(114) + sqrt(114))*-5)\/(sqrt(72)\/(sqrt(96)\/(sqrt(56)\/sqrt(7)))).\nAnswer: -13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1871839 + -2964992809\/1584. Let b = 1\/176 + q. Solve 2\/9*o + 1\/9*o**2 + b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203950 by 48.\nAnswer: 101975\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2097294.1 to the nearest 10000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 2 - 1)\/(5\/(-730)). Suppose -r + 223 = a. Calculate the smallest common multiple of r and 4.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, o: 1, f: 3, w: 2, j: 4, d: 1}. What is prob of sequence owfw?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 11.\nAnswer: -27\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7)\/(-2)*(5 + 2 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 23*t**3 + 64*t**2 - 40*t**2 + 2 wrt t?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25606508071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/81 and -53\/738.\nAnswer: 6642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1392\/116)\/((1\/(-1))\/((-6)\/(-12)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*((-678)\/1017)\/((-19)\/2)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/55, -2\/7, 4.2?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 5)*(-1 - 1 - 2)*(-1 - 2*h + 1) + h - 2*h + 2*h to the form d + k*h and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.204 + -0.196. What is the closest to 96 in f, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4334 = 2*r, r + 3250 = -0*k + 3*k. Suppose -k = -14*a + 1703. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -252, -363, -458, -531, -576, -587?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16))\/(((-45)\/(-27))\/((-575)\/138))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b. Let w(y) = -3*y + 2. Let n be w(b). Find k such that -20*k**2 - 29*k**n + 52*k**2 - 15 + 12*k = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3300 and 14760.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31883719 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13855.5 less than -56?\nAnswer: -13911.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiiy when four letters picked without replacement from yyyyiiyyiyiyiy?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -19, -12, -1, 14?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 2*l + 3*l)*(0*l + 9*l + 23*l)*(6 - 4 - 1).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 15 = -7*q. Let w(i) = -i**2 + 1. Let b be w(q). Let x = b + 45. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31424a7 + 14?\nAnswer: -3142493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 105840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36, 105, 172, 237, 300, 361?\n\"Answer: -x**2 + 72*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 31*j - 9. Determine p(-3).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23 - 22)*71\/1. Let s = l + 8. Suppose 5*w - s = 56. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613769?\nAnswer: 13, 31, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 2, 145, 0.2, -3\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2128*x + 2099*x - 841. Sort 4, x, -1, -7 in decreasing order.\nAnswer: 4, -1, -7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 373*z**3 - 48*z**4 - 2*z**5 - 373*z**3 + (-3*z**2 + 2*z**2 - 5*z**2)*(-2*z**2 + 2*z**2 - 2*z**3).\nAnswer: 10*z**5 - 48*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 1552.\nAnswer: 3104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f. Let g(l) = 544659*l. Determine g(j(i)).\nAnswer: 544659*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**3 - 354 + 2*k**3 + 0*k + 0*k + 2*k**2.\nAnswer: -26*k**3 + 2*k**2 - 354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/116833213 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1235544, 1235543, 1235542?\n\"Answer: -h + 1235545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, k: 12, w: 3}. What is prob of picking 1 w and 3 k?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 84374014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Suppose 4*m + r = 5 + 9, z = 4*m + 2*r - 12. Suppose 0*x + m*x - 52 = 0. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n - 5*n - 2*n + 0*n. Let c(a) = -39*a**2 - 33*a**2 + 73*a**2. What is t(c(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*(-2)\/(-14)*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/3 + f**2 + 4*f\/3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*a - 7, -4*t + 19 = -3*a. Let v = t - -15. What is the greatest common divisor of v and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v**4 + 47*v**3 - 13*v**2 - 123*v - 94. Let w(l) = -14*l**4 + 72*l**3 - 20*l**2 - 184*l - 142. Let x(n) = 8*k(n) - 5*w(n). Factor x(r).\nAnswer: -2*(r - 7)*(r - 3)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 394 divided by 967\nAnswer: 394\/967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - q + (2*q + q - q)*(8 + 2 + 0) - 2*q - q + 4*q.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/6, 0.2, -32205, 4\/7, 0, -0.055?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011120012 (base 3) to base 14.\nAnswer: 6a669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19796622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 12*o - 32 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3562*n**2\/11 - 7348394*n\/11 + 24756\/11 = 0. What is n?\nAnswer: -2063, 6\/1781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(5\/3)*z)\/z)\/z)\/z**(3\/5)*((z**(-2\/5)\/z)\/z)**17 assuming z is positive.\nAnswer: z**(-611\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1+13554393\nAnswer: 13554392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:47 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + -3.94. Let g = -0.14 - -1.14. Suppose 0 = 7*d - 21 + 35. What is the nearest to d in 3, x, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (3 - -17)) + (11 - 3) + 59.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10958 + 10963 - 130*c**3 - 21*c**3)*(c - 2 + 2 + (3 - 6 - 1)*(3 - 3*c - 3))*(1 - 2 + 2).\nAnswer: -1963*c**4 + 65*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.112 (b) -1\/12 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 30\/1201?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(190))\/(sqrt(360) + (sqrt(360)*-2 - sqrt(360)) - sqrt(360)) - (sqrt(95)\/(sqrt(25)\/sqrt(5)*-1)*1)**2.\nAnswer: -19 - 2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*j + 195*j - 846*j + 254*j - 7296 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 557 - -888. List the prime factors of o.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1196473.\nAnswer: -2\/1196473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33521 + -33512. Solve t = -t - u + 5, -m = -3*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4333 is divided by 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1465895?\nAnswer: 5, 293179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/4 - 2*x**3 + 8*x - 1. Suppose -29*i = -53*i. Suppose -3*z + 30 = -i*k + 4*k, 5*k - 24 = 3*z. What is w(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 + 0*z**2 + z**3 + (3*z - 3*z + 4*z**2)*(-9*z - 2 + 8*z + 5*z) as h*z**3 + f + c*z + g*z**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11507 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 54, 0, -3.\nAnswer: -3, 0, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 73, -0.065, -1, 0.3, -5, 3\/173?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*v**5 - 12*v**3 + 12*v**3)*(0 + 4 - 1 + (1 - 1 - 1)*(3 - 3 - 2) + 1 + 1 - 3 - 23 - 9 + 14).\nAnswer: 182*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*(4 + 2 + sqrt(1008)*-1))**2 - (1 + (-4*-1*(sqrt(1008)*1 - sqrt(1008)))**2))*3.\nAnswer: -10368*sqrt(7) + 75150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94249, 188587, 282925, 377263, 471601, 565939?\nAnswer: 660277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 960 and 4320.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/22 and -143\/25416?\nAnswer: 279576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, u: 2, g: 1, a: 2, x: 2}. Give prob of picking 2 u, 1 q, and 1 g.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/33, -5, 1, -0.2 in descending order.\nAnswer: 1, 2\/33, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -39*a + 154. Suppose -a*m = -2*m - 5*g - 9180, 5*m - 9183 = 2*g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12978007253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.49 - -1864.2\nAnswer: 1865.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -58bbb (base 15) in base 3?\nAnswer: -112100220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 401?\nAnswer: 3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - 0.6. Let j = d + -1.1. Which is the nearest to j? (a) 3\/2 (b) -4\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -12. Let b = x - 6. Suppose -i - 595 = -b*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {g: 11, v: 2, d: 7}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102*5.\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q + 6*q + 5949. Suppose 4*v - 4 = 8*v, 0 = -4*r - 3*v + q. Calculate the remainder when r is divided by 59.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2. Let i = 774 - 772. Let s(u) = 89 - 33 + 83 + 48*u**i - 46*u**2. Calculate r(s(t)).\nAnswer: -4*t**4 - 556*t**2 - 19321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 at most as big as -126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1503090 - -16505476\/11. Let t = -2594 - b. Let x = -2672\/55 - -651\/11. Calculate the common denominator of x and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -3, 0.5, -375, 0.04?\nAnswer: -375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(6\/3))\/(-24 - 94\/(-4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -r - 0*r. Let p(x) = 2*x + 9. Let s be p(r). Differentiate -3 - 1 + 0*q**3 - 2*q**s with respect to q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(112\/32*8\/(-14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-1568)*-4)\/(-3*(-2)\/(-24))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -508*c**4*n**3 - 6*c**3*k*n - 2*c*k*n**3 - 12*c*k + c*n**3 + 125*k wrt c.\nAnswer: -6096*c**2*n**3 - 36*c*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d**(2\/15)*d)\/d))**(8\/7) assuming d is positive.\nAnswer: d**(104\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*f = -74*f - 94*f + 516 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from {p: 1, l: 2, n: 3, q: 4, j: 3, b: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/6)\/((-6)\/1116). Let b = -148 - d. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z, -3 = -b + 3*z - 15. Suppose 2*g - 5*t = 23, b = -3*t - t - 12. Let j be 130\/39 - g\/(-6). Calculate the highest common factor of j and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3888))**2*-5 - (0 + (0 + sqrt(3888))**2).\nAnswer: -23333 - 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 5, 4, -27, -5, 17 in decreasing order.\nAnswer: 17, 5, 4, -5, -13, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194 and 82353?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -51. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:22 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1466, 1626, 1832, 2084, 2382, 2726, 3116?\n\"Answer: 23*u**2 + 91*u + 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:20 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 2*q. Let h be z(2). Let c = 2.3 + -2. What is the smallest value in 0, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 326182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.175715 rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, 2, -13.\nAnswer: -132, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 11*t**2 - 12. What is the smallest common multiple of 4 and o(-10)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3816878, 3816880, 3816882, 3816884, 3816886?\nAnswer: 3816888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from eddedhdh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**8\/112 - 4*t**7\/175 - 9*t**6\/200 + 2*t**5\/25 + t**4\/10 - 12*t**2. Solve b(v) = 0 for v.\nAnswer: -1, -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, -2, 0, -414, 9, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27622039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1))**14*(k\/(k**(3\/2)\/k))\/k**(2\/17))\/((k*k\/k**(-1\/4))**42\/((k\/(k*k\/(k\/(((k\/((k\/(k**(2\/3)*k))\/k))\/k)\/k)*k)))\/k)**(-16)) assuming k is positive.\nAnswer: k**(-2828\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 2, p: 2, h: 7, j: 5, l: 3}. Give prob of sequence jtr.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128 * -153.\nAnswer: 19584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13102*q**2 - 13102*q**2 + 3*q**3 - 4*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/(-6) + (-3)\/(-9). Suppose -h = -2*h + t. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3947 - -6560. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*q**2 - 77618\/15 + 788\/15*q.\nAnswer: -2*(q - 197)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1624 in -1378, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -53, 18, 0.05, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 6. Let c be g(4). Suppose 12 = -c*l - 4*n, 5*l + 6*n = n - 5. What is the first derivative of -l*q**3 + 5 - q**3 + 0*q**3 wrt q?\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 319.11 - 360.11. What is the second biggest value in b, -0.6, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*2\/(-10*13\/130).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/15*-3 - (-1 + -11). Suppose b*c = 4*c + 306. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 1, b: 1, i: 10}. What is prob of picking 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -59. Let g = 9 - 71. Let c = s - g. Solve 0 = 7*q - 6*q + c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687 a factor of 3159050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 84900 = -4*j + 25204, -4*j + 5*y = 59724. Let k = j - -10626. Round k to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = -2*c. Suppose 0*s + s + 5 = -c*u, -14 = 4*u - 2*s. Let r be (18\/(-20))\/((-12)\/(-5)). What is the closest to u in r, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 at most 403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1178 + 3120. Calculate the lowest common multiple of a and 4.\nAnswer: 8596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o - 94. Let f be q(22). Let m(a) = 56*a + 1. Let w(c) = 37*c + 1. Let t(y) = -5*m(y) + 7*w(y). What are the prime factors of t(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*p - 600*p + 302*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000574408891 rounded to 6 dps?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*k**2*x**2 + 75*k**2*x - 2*k**2 + 2473171*k*x**3 - 193*k + 8*x + 5 wrt x.\nAnswer: -94*k**2 + 14839026*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.6 + -1.4. Let g = 1312.733 + -1305.73219. Let y = g + f. What is y rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 420\/36*(56 + 41900\/(-750))\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-2\/25)*d)*d*d*d**(-1\/2)\/d)**(-37)\/((d**(3\/7)*d)\/d**2*(d**(-1))**(14\/3)) assuming d is positive.\nAnswer: d**(21817\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -373 != -373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1076*j - 1067*j - 8658 = 0. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 2400?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 1 - 0)*12\/27.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 70 = -4*h, -8*p + 11*p - 135 = 3*h. Calculate the smallest common multiple of 18 and p.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3689 + -3707 + (1 + -2 - -12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**31*g**(-27) assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3051 - 3051.5. Let q = 0.04 + -2.04. Let z = -1.9 - q. What is the second smallest value in -5, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 15*h**2 - 2*h + 35. Let g be f(15). Let t = -1864 + 1861. Which is the biggest value? (a) 0.4 (b) 0.05 (c) t (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -63*t**2 - 12*t + 38. Determine x(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 403.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d**2*d)\/d))**40*d**(-3)\/(d\/d**(-6)))**47 assuming d is positive.\nAnswer: d**(-470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5377 + -5371. Solve -5*o - k = -t*o + 3, 0 = -5*o - 5*k - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = 28. Let z be n*(24\/(-15) + 2). Solve -h + z = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5457462 is divided by 2183?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Let s = -1025 - -1041. Let y = s - d. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(459) - (2*sqrt(459) - sqrt(459)))\/((sqrt(33) + sqrt(132)*-3 + sqrt(33))\/sqrt(11)) + 1.\nAnswer: 1 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 23905505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5116571 + 5114291 = -152*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -bede (base 15) to base 6\nAnswer: -511232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-12) - (-14)\/56 - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9}. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 28*z. Let a be d(14). Suppose 2*u + a*u - 6 = 0. Suppose 3*v + 8*t - 77 = u*t, v = -3*t + 19. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 269101860*m**4 - 511802970*m wrt m?\nAnswer: 3229222320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1528169232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppoppccpcpcpp. Give prob of picking 1 o and 1 c.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwwvzvzvccvvz. What is prob of sequence ww?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22002233203 (base 4) in base 11?\nAnswer: 1538a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 6*y**2 - 7*y + 11. What is the remainder when p(-7) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -430.85 + 444. Let i = 12 - z. Round i to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 - (-2 - -4) - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 1 - k**2 + 4 - 22*k**2 - 44*k**2 + 81*k**2 + (-5*k - 2*k**2 + 5*k)*(-1 + 1 + 10) + 0*k**2 + k**2 - 2*k**2.\nAnswer: -5*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 4:36 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 + 13 + -10) - (8 - 46).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**4\/12 + 5*q**3\/6 + 2*q**2 - 5*q + 3. Let m(k) be the first derivative of w(k). Give m(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.4, 6, -25, 18?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1*4)\/(169\/(-230516)*-124)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 21*r**2 + 5*r - 56. What is the remainder when 242 is divided by j(21)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:49 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29*(110\/550)\/((-8)\/10))\/((-11)\/(-88))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**2 + 3*d - 5. Let z(w) = -w**2 + w - 2. Let p(g) = -2*k(g) + 7*z(g). Let x(i) = i - 3*i - i**2 + 4*i + 5. Let t be x(4). Calculate p(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -55*u + 664. Determine q(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*y + 2 + 6649*y**3 - 2*y**4 - 6*y**2 + 8*y**2 - 6648*y**3 in the form k*y + q*y**3 + g*y**4 + s*y**2 + z and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:31 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 23*c**2 - 3035*c - 5997. Give z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31159493 divided by 1?\nAnswer: -31159493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.84815 millennia in decades?\nAnswer: 2684.815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -22*s**2. Let n(l) = 19*l + 14*l - 31*l. Give c(n(u)).\nAnswer: -88*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000367623412 rounded to six dps?\nAnswer: -0.000368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50594\/12887 - 192\/49. Let c = -781\/1052 - b. Do -0.1 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b + 2 = 0. Suppose -4*f - 2 = -14. Calculate the greatest common factor of b and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197 (base 14) to base 2.\nAnswer: 101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12944128181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -22. What is the common denominator of ((-1)\/(-28))\/((-2)\/356) and (-657)\/(-24)*2*f\/(-18)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7)**(-19)*k**(-30)\/(k**30*k) assuming k is positive.\nAnswer: k**(-194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.113.\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*u + 68 = 0, -2*u + 4 = -0*u. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182152928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21773.979558 - 21774. What is r rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -p - 22, -4*d + 6630 = p + 6648 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50856098 is divided by 70.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.42 in -1, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**3 - 173*a**2 - 192*a + 138. Determine s(-42).\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*c*k**3 - 20*c + 14*k**3 - 7 wrt c?\nAnswer: 10*k**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*i - 0*i. Let a = i + 21. Let q(o) = -o**3 - 10*o**2 - 13*o + 2. What is the remainder when q(-9) is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwzff. Give prob of sequence zr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.11 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 15 = 13*m. Let y(d) = -d**3 - 4*d**2 - 7. What is y(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.2. Let u = -0.2 + n. Let d = -6 - -1. Which is the third smallest value? (a) u (b) 1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 3*p - 3. Let s(v) = -v - 2. Let y be s(-5). Let r be (6\/y)\/((-1)\/1). Let q(o) = -o**3 + o - 1. Let i be q(r). What is d(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5029192 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1216) + (sqrt(1216) - (0 + sqrt(1216)) - sqrt(1216)) + -4)**2 + 0 + -6*((sqrt(152) - (sqrt(152) - sqrt(152)*-2))\/sqrt(8) - sqrt(19)).\nAnswer: 18*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*s - 1 = -105*s. Is ((-41)\/2*226)\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -13*u**2. Let j(s) = 2*s + 69. Give j(d(o)).\nAnswer: -26*o**2 + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -828 divided by 2.\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670243.1 days to nanoseconds.\nAnswer: 57909003840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1)\/((-8)\/(-16) + -1). List the prime factors of (-10070)\/(-57) + q\/3.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -29*v + 380. What is the remainder when g(9) is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*d**4*y**2 + 3*d**2*y + d*y**2 + 228*y**2 wrt d.\nAnswer: 28*d**3*y**2 + 6*d*y + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**4 + 94*w**3 + 350*w**2 + 258*w = 0.\nAnswer: -43, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*u + 4 = -1, -3*q + 39 = u. Let f be 7*(5 + 0 + 0). What is the highest common divisor of f and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-152)\/570 - (-8828)\/30. Let f = 181 + -118. Calculate the greatest common divisor of a and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 0 - 1 + 3*x**2 + 2*x + 2. Suppose -5*j + 2 + 18 = 0. Is v(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11815?\nAnswer: 5, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 14*i - 5*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 7*l**2 - 4*l + 21. Let b be 408\/(-168) - 4\/7. Let i be (4 + b)*20\/(-4). List the prime factors of d(i).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (833\/(-539)*(-12)\/34)\/(64\/44)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f + 9 - 38*f - 176*f.\nAnswer: -201*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1723604526.\nAnswer: 2, 3, 7, 31, 241, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1560\/(-150)*175\/(-2). Suppose -3*j + v = -5*m, 4*j - m = 1288 - 103. Is j a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 299*h - 295*h + 5*q - 453, -14*h - 5*q = -1523 for h.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 51726 - 51440 = 0 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (-9 - -21) - 50?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2428142 nanograms in milligrams?\nAnswer: 0.0000002428142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -10*i**2 + i + 1. Determine x(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a1a - 2?\nAnswer: -2a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 41 + 90)*(-v - v + 8*v) + v - 6*v + 4*v.\nAnswer: 59*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(637) + 0)*-6)**2 - ((1 + sqrt(637))*4*-5)**2.\nAnswer: -232268 - 5600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 1074*q - 1090*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/660856185 and -91\/440570790.\nAnswer: 1321712370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 68354?\nAnswer: 68355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y. Let r be (y - 1)*(1 - 8). Let l = r + 2. Solve 2*s - 3*j + 10 = s, 3*j - l = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -1)\/(10\/(-20)). Suppose -z*l + 3*l = 12. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64574 and -1.\nAnswer: 64574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1867 + -1945.3. Let i = -78 - n. Let u = i - 0.356. Round u to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2*u**2 + 17993*n**2 + 7996283*n*u**4 - 3*n + 141 wrt u.\nAnswer: -2*n**2*u + 31985132*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*m + 430*m + 9*m = -111*m - 37536 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/6*l**2 - 7\/6*l + 1\/6 + 23\/6*l**3 - 4\/3*l**4 - 8\/3*l**5 = 0. Calculate l.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.7 and 155 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -37*g**5\/20 - 19*g**3\/3 - 12*g. What is the second derivative of u(t) wrt t?\nAnswer: -222*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1107960092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 7*i + 4*b + 239, 1085 = 5*i + 2*b. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 705 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -74?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4448)\/(-7784))\/(2\/(-49)*-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(1 + 1) - -4. Let h(k) = -k + r - 3 - 2. What is h(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38079 is divided by 604?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 9 + 1. Calculate the lowest common multiple of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + p + 2768 = 0, -3*j + 2*p + 1665 = -0*p. Suppose -j = v + 4*w, -3*v - 1090 = -v + 4*w. Let x = v - -908. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -2*m**2 - 6*m + 34. Determine w(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 8*a = -6*a - 5, -2*z - 5*a = -2. Let x be ((-13)\/26)\/(z\/6). Sort x, 0, 8 in descending order.\nAnswer: 8, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**4 - 3*s**4 + 3*s + 0*s + (-2364 - 2395 + 4793)*(-s**3 + s**3 + 2*s**4) to f*s**4 + y*s + k*s**2 + w*s**3 + n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 + 97. What is the third biggest value in -5, 0, l, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 15 = 0, -3*t - 2*o + 33 = o. Suppose 3*s - t + 1 = 0. Suppose -s*c + 5 = -j, -2*c + 2*j - 4 = 2. Solve -c*m = 4*d + 6, 3*m = 3*d - 2*m + 37 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-910)\/615940*-46)\/((-7)\/2)\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 998990 to the nearest ten thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (125\/100)\/((-1)\/(-16)). What is the tens digit of (z\/(-12) - 4)*-45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1674 divided by -166\nAnswer: 837\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2151628899*i - 2151628899*i - 69*i**2.\nAnswer: -69*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 77 - x + 5*x - 3*x + 27.\nAnswer: x - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10766 + 10810. Calculate the remainder when x is divided by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, 1\/34, -3?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-872)\/(-40)*4\/(-223). Let p = -2\/223 + n. Which is the fourth biggest value? (a) p (b) 0.4 (c) 18\/29 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*y + 6 = -21, 3*y = i + 2. Let g(f) = f + 5. Let j be g(0). Which is smaller: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 27*c - 108. Let j be t(-5). Calculate the greatest common divisor of 199 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + r**2 + r + 1. Let u be o(-2). Let t = -4 - 0. Sort t, u, -6 in ascending order.\nAnswer: -6, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/163 in 10, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1274.6.\nAnswer: -127.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2. Let z(t) = 56127639*t. Calculate i(z(s)).\nAnswer: -6300623719428642*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k + 2*k + 4*k + (-3*k + 3*k - k)*(4 - 4 + 1) + (0 + 0 + 2)*(-2*k + k - k) + 3*k + 2*k - 4*k - 2 - 4*k + 2.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eefg when four letters picked without replacement from {f: 1, n: 1, e: 2, g: 4, b: 9}.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/92 - -6\/23. What is the nearest to f in -2, -0.3, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1796510 to the nearest ten thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**5\/5 - 447*q**4\/5 + 15489*q**3\/5 - 116073*q**2\/5 + 325296*q\/5 - 313956\/5 = 0.\nAnswer: 3, 38, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-13)*o)**9)**(6\/5) assuming o is positive.\nAnswer: o**(-648\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 489, 998, 2031, 3738, 6269?\nAnswer: 9774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 232. Let m = -9 - 19. Does 7 divide 4\/14 + y\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*g + 12, -2*g - g - 3 = -o. Suppose 3*k - 818 = f + o*f, -k = 3*f - 264. Is 27 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/696 and -43\/319.\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 191.443?\nAnswer: -191.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240130 is divided by 1149.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -64763, -64764, -64765, -64766, -64767?\n\"Answer: -g - 64762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102))\/sqrt(6) - 2*sqrt(2057)) + -4*sqrt(2057) + -4.\nAnswer: -65*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 2*d - 2*d - 4*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -682332 (base 9) in base 15?\nAnswer: -81092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 817298244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*4\/(-60))\/(11\/110)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*u**2 + 4801*n**3*u - 753*n*u**4 - u**2 wrt u.\nAnswer: -2*n**3 - 9036*n*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -67*o**2 - 151*o**2 - 2592 + 4*o**3 + 3*o**3 - 6*o**3 + 4032*o + 2*o**3.\nAnswer: (o - 36)**2*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 184*h - 63. Is f(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 11*h + 9. Let c be p(10). Is c\/(-3) + (-6660)\/(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 1, -0.3, -1.8.\nAnswer: -1.8, -0.3, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60762 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**6\/120 + 11*h**5\/30 - 3*h**4\/4 - 41*h**3\/3 - 880*h**2 + 4*h. What is s(21)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -102, -206, -310, -414, -518?\n\"Answer: -104*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssyeemesyhyshhssssh. Give prob of picking 1 s and 1 e.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 322, 24\/5, 0.3 in decreasing order.\nAnswer: 322, 24\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*((2 + 0 - 3)*(-6*u + u + 3*u)*(6 - 2 + 2) - 2*u - 2 + 2 - u - 2*u + 5*u + (-u - u + 3*u)*(1 - 4 + 2)) to c*u + r and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4414 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79 * -33.431.\nAnswer: -2641.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -375 from 10.\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, c: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -70 - 530. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*o + 17 + 14 - 25.\nAnswer: -104*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, r: 7}. What is prob of picking 1 r and 2 g?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -63, -175, -393, -753, -1291, -2043?\n\"Answer: -6*f**3 + f**2 - 3*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2, -5 = k - 3*o - 29. Let j = k + -6. Calculate the remainder when 79 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -31352, -6\/7, 0, -8?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 2.68689398\nAnswer: -1.34344699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168 + -173. What is the nearest to 0.1 in p, -17, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 0 - 4\/3. Suppose 3*c = -0*c. Suppose 0 = -5*v - c*v. Which is greater: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + 0*o)*(-1144 + 1144 + 218*o).\nAnswer: 218*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31664 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-30) - 6\/9. Let q(r) be the first derivative of 2 + 2\/27*r**3 + 0*r**2 + 0*r**4 - 2\/45*r**5 + h*r. Solve q(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*b + 4114 - 5720 = 0 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31278 and -44.13?\nAnswer: -1380298.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -392735, -392459, -392183, -391907, -391631, -391355?\n\"Answer: 276*s - 393011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 80878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 3*o - 32 = 0, -120*c + 5*o = -121*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h - 3. Let q be d(5). Suppose -2*z + 18 + q = 0. Let j(k) = k**2 - 4*k - 7. Let s be j(-2). What is the greatest common factor of z and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 462 and 660?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 773077 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 + 3. Let w = 0.1 - r. Let z be ((-1)\/(7 - 9))\/(-4). Which is the third smallest value? (a) z (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1\/3270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132.3 - 138.13. Round z to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194130 (base 11) in base 15?\nAnswer: 5d5b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -222 <= -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z**3 - 10*z**2. Let p = 5 - 0. Let k(n) = -7*n**2 + 9*n**3 + 11*n - 3*n - 8*n. What is p*w(d) - 7*k(d)?\nAnswer: 2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3459247 (base 10) to base 8\nAnswer: 15144257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1078010*b - 1078002*b + 80 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (99\/44)\/(1\/(-4)). Let p be ((-6)\/d)\/(3\/(-6)). Which is the closest to 0.1? (a) 1 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-3)\/114) + (726 - 724)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48.6*-0.3.\nAnswer: -14.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 117749183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29629879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 11*l**3 + 202*l**2 + 31*l - 4. Calculate u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*2 + 4.\nAnswer: 4 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 178, 346, 546, 784, 1066, 1398?\n\"Answer: b**3 + 10*b**2 + 131*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3. Let m(t) = 4*t**3. Let s(z) = 4*z**2 + 16. Let f(c) = 3*c**2 + 11. Let o(x) = 7*f(x) - 5*s(x). Let u be o(0). Give u*g(d) - m(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5) - (-17)\/5. Suppose 0*v + 16 = t*v. Suppose 0 = -a - v*n + 27, 49 - 16 = 4*a + n. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-11))**16\/((b**(7\/6)\/b)\/(b**(-5\/7)*b)) assuming b is positive.\nAnswer: b**(8741\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6460140 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 501 + -226615?\nAnswer: -226114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/5 - 2*l**3 - 16*l**2\/5 - 8*l\/5.\nAnswer: -2*l*(l + 1)*(l + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 5*j - 2. Let z be d(-4). Suppose c - 4*c + 3 = 5*f, f - z*c = 11. Solve 3*n - 3 = f*h, 2 = 5*h - 0*n + 2*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*z - 3914460 - 3588522, -z - 2500987 = -b. Let t be (1 - (-9 + z)) + 0. What is t rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39 - 2*a**2 - 39)*(3*a - 36*a - 20*a) + (2*a - 3*a + 2*a)*(-a**2 - 3*a**2 + 3*a**2) to w*a**2 + k + g*a + s*a**3 and give s.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - m**2 - 9*m + 5. What is t(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2. Let x(h) = 49415725*h**2. Determine x(c(k)).\nAnswer: 444741525*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 347949 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**3 + 2*d + 2. Calculate q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-36)*(2 - (-7)\/(-2))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 + 11*m**2 - 12*m - 60. Let u be q(0). Let p = -6 + 8. Which is the biggest value? (a) p (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/61 in -4\/3, -56, 6, -0.1, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12201, 24338, 36425, 48462, 60449, 72386?\n\"Answer: -25*p**2 + 12212*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1663366716 - 0.5.\nAnswer: -1663366716.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6569 + -0.6365. Which is the second smallest value? (a) 3\/2 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, o: 7, n: 2}. Give prob of picking 1 n and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/20)\/(1\/5). Suppose 0 = 3*z - a - 9. Suppose 0 = r - z*d - 92025, r + 2*d = 2*r - 92010. Round r to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42303*h**3 - 45536?\nAnswer: 126909*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 20 = 16*x. Let g = -20 + 46. Let d = -30 + g. Put -3, d, 2, x in decreasing order.\nAnswer: x, 2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - 11*b**2 - b + 14. Give w(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-3)\/(30\/2)). Suppose -d + f*d = 128. What is the remainder when d is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 6*b + 7. Let r be t(-7). Let j be (256 - -12) + (r - 0)\/(-1). Suppose 3*z + j = 5*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127388?\nAnswer: 2, 31847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 4 - (28 - 49)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21176425*r**6 - 50*r**2 - 9*r - 6339 wrt r?\nAnswer: 2541171000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 13 = -8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27\/(-55))\/((-2043)\/6810). Factor z*q + 0 + 6\/11*q**2.\nAnswer: 6*q*(q + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - -1) + 2800 + -2758?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81722 at most -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/12*q**2 - 13\/12*q + 10\/3 = 0. What is q?\nAnswer: 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32172 and 37979046.\nAnswer: 75958092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*z**2 + 19*z**2 + 2*z**3 + 24*z**2)*(-21*z - 14*z + 12*z).\nAnswer: -46*z**4 - 92*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/7600 and 35\/1328062.\nAnswer: 265612400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(((q\/(q**24\/q))\/q)\/q)))**(-20)\/(q**(3\/7))**(-31) assuming q is positive.\nAnswer: q**(3453\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = 22. Let w = 72 - j. Calculate the remainder when w is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.4 (b) -2\/13 (c) 4\/5 (d) -1\/7 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/70763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3. Let v(m) be the second derivative of 1\/60*m**6 + 0*m**5 - 1\/24*m**4 + 0*m**2 + 0*m**3 + l + 2*m. Factor v(o).\nAnswer: o**2*(o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(396) - sqrt(396)) + 4.\nAnswer: -60*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 1774836 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-6)*q*q*q))\/q**(-1))**11 assuming q is positive.\nAnswer: q**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414369 is divided by 1391?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*v + 3, -3 + 9 = 2*i - 2*v. Solve -3*u - 2*u + i*a - 20 = 0, a + 4 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25452266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*a - 6 - 1, -5*b = 5*a - 15. What is the remainder when 7 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 255*i + 265. Let n(j) = j. Determine l(n(m)).\nAnswer: 255*m + 265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2187\/7*t + 48\/7*t**3 + 810\/7 + 216*t**2 = 0.\nAnswer: -30, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68806030*2.\nAnswer: 137612060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5811.9944974 less than -0.3?\nAnswer: 5811.6944974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 23, 43, 73, 119, 187?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 + 0*v**2 + 726147*v**3 + 7*v**2.\nAnswer: 726147*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6754, 13476, 20168, 26830, 33462?\n\"Answer: -15*i**2 + 6767*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 1. Factor -j**2 - 10*j**4 + 0*j**2 - j**2 + 4*j**5 + 8*j**h.\nAnswer: 2*j**2*(j - 1)**2*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20080035 at least as big as -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llxl when four letters picked without replacement from {x: 3, l: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*-1 - (-3 + 100). Let v = s + 172. What is the greatest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l + 3*l + u - 424, -19*u + 452 = -5*l - 42*u + 31*u for l.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*k - 4*m + 90, m = 5*k - 158. Let g = k + -28. Suppose g*f = 2*f + 2. Solve -v - 6 = -f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 377270663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 28. What is r(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.67 - -0.67. What is the biggest value in -2\/69, c, -0.5?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1241\/(-102)*(0 - 2\/(-78)) and 85\/54.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-30) + 2\/(-8). Let x = 5\/3 - m. Find the common denominator of 2 + 4 + (-434)\/44 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0 + 9\/2*a**2 + 1\/2*a**4 + 0*a + 3*a**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k**2 - 6*k**2 - 9*k - 6*k**2 + 3*k in the form c + o*k**2 + i*k and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Suppose -v + 6 = 4*x, 2*v = 3*x + j*v - 4. Suppose x*t = 48 + 40. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 494 - 1981\/4. Let t = 0.2 + 0.8. What is the third biggest value in 5, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.48 - 6.4. Let w = y + -0.08. What is the nearest to w in -2, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1728, 1723, 1718?\nAnswer: 1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + 0.1. Let q = 12.12 - 9.2. Let s = r + q. Which is the third biggest value? (a) s (b) 0.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3 + 6*v - 3*v - v + 0. Let j be k(3). Suppose -5*n + 48 = j*c, 3*c - 24 = -2*n - n. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12.9899 and 97.\nAnswer: 84.0101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -73.17 + -0.008579\nAnswer: -73.178579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 5:33 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6152, 48527, 163550, 387545, 756836, 1307747?\n\"Answer: 6054*h**3 - 3*h + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 12*y - 12. Let r be c(-6). Is r\/(-21) - -1 - 22158\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14710, 52, -2, -9 in increasing order.\nAnswer: -9, -2, 52, 14710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437*k + 3514 = 1219*k + 101*k. Factor 2\/3*o**4 - 2\/3*o + 4\/3 + 2\/3*o**3 - k*o**2.\nAnswer: 2*(o - 1)**2*(o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + -1 + -131 + 19 - -19?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29858370 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 916209 divided by 63\nAnswer: 14543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.1, 0.56, -0.11812?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304000 divided by -38000?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 21 = -3*r - 3, -q - 2*r = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 269258 and 83358.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 8*k**2 - 5*k - 7. Give h(-6).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(704) + (sqrt(704) + -2*sqrt(704) - sqrt(704) - sqrt(704)) + sqrt(704))*2.\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 + 1 = 2*y, 5*k = -4*y + 29. Let f(b) = -2 + 6*b**2 - 11 - 3*b + 0 - k*b**2. Let a be f(6). Is a at most as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33886506?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2228840735?\nAnswer: 5, 11, 40524377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 29f8 (base 16) to base 3\nAnswer: 112201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0.4 (c) -1\/6 (d) -3 (e) -1.971248\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-21 + 8 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = -x + 4, 3*x - 12 = 4*l. What is the third derivative of -2*b**2 - 2*b**2 + b**2 - b**x wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/49 - (8 - -1)*261\/(-189).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 925.8983 grams?\nAnswer: 0.0009258983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -131*f**3 - 11*f**2 + 35*f + 6. Let a(k) = k**3 + 2*k**2 - 1. Let o(i) = 6*a(i) + g(i). What is the third derivative of o(z) wrt z?\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(234) + sqrt(234) + -1*sqrt(234))\/sqrt(9))\/(sqrt(2) + (1*sqrt(6))\/sqrt(3)))**2 + (1*(1 + sqrt(13))**2 - 1*sqrt(325)).\nAnswer: -3*sqrt(13) + 69\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**6\/15 - 13*a**5\/5 - 55*a**4\/4 + 11*a. What is the third derivative of o(w) wrt w?\nAnswer: -48*w - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + 28*j**2 + 28*j + 1. Let a be n(-13). Let d be a + 29 + -1 + 0. Solve -v - d = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 25 = 13*t - 22. Solve t*m + 13 = -4*o + 3*m, -3*o + 2*m + 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2502808 and 1870?\nAnswer: 12514040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 17*j + 2. Let m(b) be the first derivative of 0*b + 0*b**2 + 5\/3*b**3 + j. Let w(t) = -3*t. What is w(m(c))?\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105022004 (base 6) to base 12.\nAnswer: -784904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-21)*t*t**(2\/45)*t**(-9)\/(t*t**(9\/4)) assuming t is positive.\nAnswer: t**(-5797\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -792800 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 272131*z - 10613114. Determine x(39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 3*d**2 - 78*d - 41. Let t be s(11). Solve 18*w = t - 159 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 975 * 0.2\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u + 176 = 0. Let b = u - 30. Calculate the greatest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 43 - (-1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 15*x + 36 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0 - -8) + (33 - (18 - 42 - -44))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -16*f + 16. Let k(d) be the third derivative of 5*d**4\/24 - 5*d**3\/6 - 2*d**2. Let t(u) = 3*a(u) + 10*k(u). What is the units digit of t(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11*i - 50. Let k(a) = 20*a - 49. Let r(t) = -4*k(t) + 5*s(t). Determine r(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d\/(d**(-1\/2)\/d*d))\/d*d)\/(d**(-2\/3)*d)*d**(1\/8)*(d\/((d\/(d\/(d\/(d*d\/((d**(-7\/5)*d)\/d)*d*d))*d)*d)\/d))\/d assuming d is positive.\nAnswer: d**(1043\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2 + (2 + 1 - 1)*(-1 + 1 - 2) + (-3 + 3 - 1)*(2 - 4 + 4))*(2*j**2 + 5 - 5).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -5831?\nAnswer: 17493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (12 - -3 - (10 - (3 + 7)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-924)*-7*2\/8.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-1\/2)*z)**(1\/3)*z\/((z\/z**(1\/4))\/z)*z*z*z*z*z*z**(-2\/13) assuming z is positive.\nAnswer: z**(1081\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1650038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3290 + 3290.003. Which is the nearest to 0.1? (a) -2\/15 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (96\/8)\/(4 + -2). Suppose -3*a - 2*m = -12 - y, -a - 3*m = -13. Suppose -n + 8 = -a. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 203155\/29 + -7007. Find the common denominator of x and ((-315)\/9)\/(4 - 0).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 106*z**2 + 184*z + 2496.\nAnswer: (z - 104)*(z - 6)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1160, -2356, -3544, -4724, -5896, -7060, -8216?\n\"Answer: 4*z**2 - 1208*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from {v: 5, t: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39460000 rounded to the nearest 1000000?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -96.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9*r + 20, 0 = 5*p - 3*r - 48. What is the greatest common divisor of p and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**3 + 960*i**2 + 28732*i + 27768 = 0.\nAnswer: -26, -1, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29734)\/12 - (-1 + 0). Let p = 2453 + z. Let g = 1\/600 + 478\/75. What is the common denominator of p and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*s + 4 = 0, -31 = -0*u + 2*u - 3*s. Let v be 17\/3 + u\/12. Suppose -v*w = -4*w - 11. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:16 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4678791694.\nAnswer: 2, 271, 8632457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w + 5*w - w)*(-3*w**4 - w**4 + 2*w**4) - w**5 + 3*w**5 + 3*w**5.\nAnswer: -21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -416 (b) 2 (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*s + 39 = 0, -q - s = -0*q - 13. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -10. Let v(d) = -30*d - 44*d + 69*d - 54*d. Let i(h) = 58*h. Let j(f) = k*v(f) + 6*i(f). Let x(t) = -2*t**2. Calculate x(j(y)).\nAnswer: -5618*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2995356*u**3 - 742*u**2 + 807?\nAnswer: -17972136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 1, z: 4, r: 1, v: 2}. Give prob of sequence jv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1477 = -2*g, -180 = g + 3*q - 905. Suppose 730*a - 48 = g*a. Let n(k) = k**3 + 11*k**2 - 11*k + 8. Determine n(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3345408 and 652032.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 14*y. Let i be z(7). Let h be i + (-880)\/175 + (-2)\/5. Let b be (4\/(-2) + 3)*-5. Which is bigger: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 149 - 132. Suppose 16*f - b*f = 2, 2*v = -4*f + 48. Calculate the remainder when 502 is divided by v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -0.3 (c) -1\/6 (d) -3 (e) 24\/7 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 20*y**2 - 2*y + 4. Is l(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 478.\nAnswer: -2, -1, 478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 25 = 18*q + 5*d, 7*q = 4*d + 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.79 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, u: 2, e: 2}. Give prob of sequence ouoe.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**21*g**(-5)*g**1*g assuming g is positive.\nAnswer: g**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 2:04 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -5. Let p be ((-6)\/(-12))\/(q\/10). Let u = p - -8. Solve 0 = c + 2*c + u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 - -6) + 2*176 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7536\/110528 + (-149)\/3476?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287892, 287887, 287872, 287841, 287788?\nAnswer: 287707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 17\/(170\/130).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/10 <= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/285, 0.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3679 divided by -283.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*(sqrt(27) + sqrt(108)))\/(sqrt(45)\/sqrt(45) + sqrt(216)\/sqrt(6)).\nAnswer: -108*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4115585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -11. Let n = 57\/26 + -516\/13. Calculate the common denominator of n and (-890)\/200 - a\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11195 = 5*w + 3*c - 6471, 0 = 2*w - 3*c - 7058. Suppose -1886 = -21*o + w. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -3\/7*a**7 + 0*a + 0*a**4 + 4\/3*a**3 + 0*a**5 + 0*a**2 - 4 + 0*a**6. What is the third derivative of i(z) wrt z?\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**3 + 2390*m**2 + 19380*m + 29160 = 0?\nAnswer: -6, -2, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.819 - -0.019. Let u = -18 - w. What is the nearest to 2\/3 in -0.3, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*w*w*w)**(16\/5) assuming w is positive.\nAnswer: w**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - (55 - 106)) + -23\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjdd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-35)*(-4)\/(-12)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 524.864 centuries?\nAnswer: 5248.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5 - (-52)\/8) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*h - 18412, 2*h + 5*q - 7362 = q. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11314400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 4.118.\nAnswer: -3.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 774\/(-473) + (-1 - -3*1). Factor -y*h + 6\/11*h**2 - 2\/11.\nAnswer: 2*(h - 1)*(3*h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s**3 + 4*s**2 + 7. Let y(o) = 8*o**3 + 4*o**2 + 6. Determine -6*m(u) + 7*y(u).\nAnswer: 2*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-44)*d**(-1\/5)*d**(-31)\/d*(((d*d**0)\/d*d)\/d)\/d assuming d is positive.\nAnswer: d**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/6)\/(n\/(n\/n**(-15))*n*n*n))\/((n**5\/n)\/n)**(-2\/21) assuming n is positive.\nAnswer: n**(523\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3280*t**3 + 41*t**2 + 41*t + 82. Let b(v) = 328*v**3 - 4*v**2 - 4*v - 8. What is 41*b(m) + 4*z(m)?\nAnswer: 328*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, m: 4, z: 3}. What is prob of picking 2 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-7)*((s*s**6\/s*s)\/s)\/s)**(-2\/11))**46 assuming s is positive.\nAnswer: s**(-1196\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936 = -2*n + 942 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14441 - -0.1436647. 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: Solve -62*x + 148 + 162 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - p = -4, 5*j + 3*p = -2*p + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -91*x - 1811. Let i be p(-20). Solve -333 = i*j - 279 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -18*y. Let j(p) = 638*p - 2. What is j(t(g))?\nAnswer: -11484*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2435777 - 1985*x**2 - 2435777 + 2131*x**3 wrt x?\nAnswer: 12786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5024 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 - -334. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6113 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 134837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030301251 (base 6) to base 12.\nAnswer: 37b7827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4806640 by -8.\nAnswer: -600830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*k - 10. Let m(j) = -4 - j**3 - 6*j + 2*j**3 - 6*j**k - j. Let o be m(7). Put 1, 5, o in ascending order.\nAnswer: o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c**2 + 3*c**2 - 4*c**2)*(-14*c - 71*c - 29*c) + 0*c**3 - c**3 + 0*c**3 to the form v*c + s + k*c**2 + y*c**3 and give y.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (289\/(-289))\/((-3)\/330)*4\/(240\/66)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**2 - 8515*t - 397335. Calculate c(-45).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 851569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/9 and 64\/55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**2. Let p(y) = 1349 - 1349 + 49*y. Calculate a(p(q)).\nAnswer: -12005*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 3*j - 5)*(46 - 46 - 22*j) as o*j**2 + n*j + f and give o.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 - 30\/(-6)) + 12. Suppose -3*v = -p*i + 1, -4*v = -i - 9 - 7. Calculate the highest common factor of 45 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.040695 litres in millilitres?\nAnswer: 7040.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1022 - 1019. Solve 0 = -a*u - 1 + 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, 45, 239, 541, 969, 1541, 2275, 3189?\nAnswer: 4301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*c**3 - 77 + 27 + 26 - 328*c**3 + 22 + 509*c**3.\nAnswer: 712*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 + 3*c**4 + c**2 + 0*c**2 + 2*c**3 + 1 - 4*c**4 - 2*c as g*c**2 + v + i*c**3 + w*c**4 + j*c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s**4 + 3*s**3 + 5*s + 19 wrt s?\nAnswer: 60*s**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Suppose 0 = -t*y - 0*k + 4*k + 58, -4*y + 5*k + 107 = 0. Let a = y + -19. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35562086017*u - 2 + 2 - 35562086030*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1211024 and 0.5.\nAnswer: 1211024.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 274*v - 182*v - 535*v - 14. List the prime factors of h(-1).\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -14*l + 12. Let m be 0 - -1 - 18\/3. Let q(g) = 8 - 2*g + 3 - 11*g. Let d(h) = m*i(h) + 6*q(h). Let y(r) = -r + 1. Calculate d(j) - 6*y(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94 + 48 - -47) + -36?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*s - 891, s = -2*r + 226 + 137. Is r not equal to 179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - -1344141100?\nAnswer: 1344141133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + p**2 + 8*p - 2. Let z be n(3). Solve 0 = g, z - 3 = -j - 2*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1811*t + 27160. Calculate y(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 1)*(1 - 2 + 0) + 19 + 16 - 7)*(r**4 + r**4 - 5*r + 9*r).\nAnswer: 60*r**4 + 120*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 + 0 + 0 + (-i + 3*i - 4*i)*(-3 - 5*i**3 + 3) + 3852*i**3 - 39*i**4 - 3852*i**3.\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000428 to seven dps.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 5*a)*(11*a**2 - 26 + 26) + 8*a**3 + 15*a - 15*a.\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 502564872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*k - 5, 2*w - 4*w - 3*k = 3. Let b = w - -6. What is the highest common factor of b and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 + f + 856. Let q(z) = 12*z**2 + 3*z + 1714. Let t(w) = 5*l(w) - 2*q(w). List the prime factors of t(0).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38355*k**2 - 39869*k**2 + 78416*k**2 - 1 + 1.\nAnswer: 192*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 = 7. Let i be 6\/4*8\/t. Let v be -2 - (i + 2)\/2. Solve v*u - 5*u = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4402, -4532, -4658, -4780, -4898, -5012, -5122?\n\"Answer: 2*z**2 - 136*z - 4268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*-1 + 7)\/3. Suppose -4*b - 326 = -262. Let o = 19 + b. Is o greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -1187, 7 in increasing order.\nAnswer: -1187, -5, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 2*c + 28 - 14.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*v = v + 495200, 5*w + 619027 = 4*v. Let x = w - -313803. What is x rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 215*j**5 - 120*j**5 - 115*j**5 + (2*j**2 + 0*j**2 - 4*j**2)*(13*j - 13*j + 14*j**3) + (-3*j**2 + 3*j**2 + j**4)*(0 + 0 + 3*j) - 2*j**5 + j**5 + 0*j**5.\nAnswer: -46*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3506607 + 1306607. What is l rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**5\/60 + s**4\/24 - 5*s**3\/6 - 3*s**2. Let f be o(0). What is the remainder when (6\/f)\/((-2)\/5) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -5) + (0 - -1 - (4 + 1)). What is the closest to c in -9, 3, 1.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*q**4 - 4040*q**3 + 77844*q**2 + 24336*q.\nAnswer: 4*q*(q - 39)**2*(13*q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 57 + 18. Let r be (23 - j) + (-10)\/2. Find d, given that -6*d**2 + 3*d**r - 12*d - 18*d + 21*d = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1843 (b) 0.65 (c) -0.3 (d) -3\/4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 2*p**2 - 2*p**2 + (-9579*p - 18601069 + 18601069)*(2*p + 4*p - 5*p).\nAnswer: -9581*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/10 and -33\/280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*q - 3 = 0. Suppose 4*a = -q*p + 5, -a + 1 = -2*a. Solve -8 = p*b - f, -8 = f - 5*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19621.01 + -19527. Let t = 0.99 + b. Let c = -95.0000139 + t. What is c rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/5)*w*w)\/(w*w*w\/(w**(1\/14)\/w)) assuming w is positive.\nAnswer: w**(-79\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 9*h - 10. Let l be v(-9). Suppose -l = 5*i + 5*b - 546, 5*b - 205 = -2*i. Let x = 113 - i. Calculate the remainder when 66 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43403, -43404, -43405, -43406?\nAnswer: -43407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 12:33 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*3*(-1 - (-264)\/36)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 0.068.\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 7*t**2 - 4*t + 3. Let v(b) = -7*b**2 + b. Let g be v(-1). Let m = g - -14. Is p(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*0.043882\nAnswer: -0.0789876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2944?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 12622389*y**2 + 25244766*y.\nAnswer: 3*y*(y - 4207461)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ltlt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q + 22. What is the remainder when 79 is divided by f(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9}. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -178*a - 18. Let b be 2\/18*6*-3*1. List the prime factors of q(b).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 - (-1 - -2) - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 16*v - 24. Let o be f(-14). Let n(q) = -q + 4. Let s be n(o). Solve s = 4*t - t - 6, 0 = -2*w - t + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + t = 28, 5*t = -3*y + 16 + 28. Let f = y - 4. Suppose m - f*m = -9. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182486 is divided by 60574?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -16 - 4 - 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(16\/(-6)*(202\/(-101))\/(-156)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = 4*s - 59, -3*r + 33 = 3*s. Suppose 2*n + 3*n + 2*a = 60, 5*n - 2*a - 40 = 0. What are the prime factors of 8\/n*200\/s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 9 = 2*w + 17, 2*u = -5*w - 8. Let t be u*(-1 - -3) + -4 + 3. Let g(p) = 11*p. Give g(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878510 is divided by 987?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/2339 or -0.1209?\nAnswer: -2\/2339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of (-3 - (-18)\/4)*860\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -650, -1238, -1860, -2534, -3278, -4110, -5048, -6110?\nAnswer: -7314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -182334.52 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s*s*s*s**(-6)\/s*s*s))\/s**(3\/2)*(s**1\/s)**(-17)*((s\/(s**(-1\/2)\/s))**4)**(-33) assuming s is positive.\nAnswer: s**(-661\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50726 and 894946.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-23)*228850\/2985.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 88325 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 12*f**2 + 12*f - 5. Let s be b(11). Let x = 2 + 4. Is s != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7190 + 1618. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z**2 + 4*z - 2. Let o(f) = 10*f**2 + 4*f - 1. Let x(v) = 6*i(v) - 4*o(v). Let w(k) = 5*k**2 + 3*k - 3. What is 8*w(r) - 3*x(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*i + 28, i - 25 = 4*r + 6. Let z be (32\/3)\/(-4)*r\/6. Suppose -z*s - 15 = -7*s. Calculate the highest common divisor of 25 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 11*z**7\/140 + 25*z**4\/24 - 16*z**3 + 58. Let t(w) be the third derivative of y(w). Find the first derivative of t(x) wrt x.\nAnswer: 198*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7049752390 rounded to the nearest one million?\nAnswer: -7050000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 10010320310002?\nAnswer: -10010320303332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*l + 136309 = -211116 - 45275. Calculate the remainder when l is divided by 446.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -12. Let d = -4 + 2. Let c = 18 - 14. Sort n, d, c.\nAnswer: n, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Suppose 9 + 3 = -2*k + 4*q, -5*q = -3*k - 16. Let l = d + k. Is l smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 10182*s**2 + 2 + 12153*s**2 as o + v*s**2 + t*s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f + 16. Let j(h) = -2*h**3 - 25*h**2 - 42*h - 98. Let x be j(-11). Let a(m) = m + 1. What is x*y(o) + 6*a(o)?\nAnswer: o + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -47, -80, -163, -314, -551, -892, -1355?\nAnswer: -1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 - 3*u**3 - 17 + 15 + 2*u - u**2 + 2*u**2 - 8*u**4 to the form z + i*u**2 + y*u + l*u**4 + g*u**3 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104460 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzzzjzzzzjjj. What is prob of sequence jzz?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5729 - -9644. Suppose 9511 - c = 4*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 39, 58, 45, -18, -149?\n\"Answer: -3*u**3 + 2*u**2 + 34*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - m - 5*m + 0*m + 8*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n + 6. Suppose -4*s + 2*f = -36, 3*s = -5*f + 114 - 126. Let p(h) = h. Determine s*p(w) - u(w).\nAnswer: -w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 0 - 1309*x**2 + 9 + 661*x**2 + 654*x**2.\nAnswer: 6*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -61*l**2 + 30*l + 7. Let p(r) = -123*r**2 + 60*r + 13. Let f(q) = 5*g(q) - 2*p(q). Let n be f(11). What is n rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 44\/18637 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7, -3, -7, -25, -63, -127?\n\"Answer: -s**3 + 2*s**2 + 5*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 18912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 13*i + 14. Let c be u(-11). Let j(k) = k**2 + 8*k + 2. Let g be j(c). Let w(z) = 3*z - 3. Let n be w(2). Put 0, g, n in ascending order.\nAnswer: 0, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 12127 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 11:26 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c04 - -41d2?\nAnswer: 4dd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 2. Let g = 2 + 5. Let d(u) = 9*u + 7. Give g*r(k) - 2*d(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46761 divided by -109.\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26578607?\nAnswer: 11, 139, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/16)*r\/(r\/(r*r*r**(-4))))**30)**(-8) assuming r is positive.\nAnswer: r**495","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, j: 2, i: 10, t: 1, r: 1}. What is prob of sequence jjil?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 0*c + 0*c**3 - 1\/2*c**4 + c**2 - 6. Factor m(v).\nAnswer: -2*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 5*o - 5 + 5*o)*(-10 - 52 + 23)*(-2 + 2*o + 2)*(-2 + 2 - 2).\nAnswer: -312*o**2 - 780*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/((-9)\/(72\/(-8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-15))\/((50\/(-18750)*-25)\/((-4)\/(-6)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1460934*v**2 - 899281*v wrt v?\nAnswer: -2921868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-17)*(1\/39)\/(8696\/84786)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-120)\/(-42))\/(6\/21 + 0). Solve 2*a = 4*k + v, -5*a + 0 + 3 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 5*h**2 - 4*h - 5. Let p be v(6). Let b = 8 - p. Suppose 13*c - 7*c = -6. Put c, -2, b in descending order.\nAnswer: b, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 = 2*s, c - 6*s + 2*s + 11 = 0. Let w(k) = 271*k**2 - 1. Let z be w(c). Suppose f = 6*f - z. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13*48\/104)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - -0.2. Let n = 0.65 - 1.18. Let j = -0.03 - n. Which is the closest to -0.2? (a) 1 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*g + 37*g = -123*g + 31490 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 981*p**3*v - p**3 - 57*p with respect to v.\nAnswer: 981*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-690)\/(-35) - 12\/(-42).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o. Let h(l) be the second derivative of -l**3\/6 + 14*l. Determine g(h(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 428730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/25 - (3 + 44\/10). Let x be (1 - (-8 - i))*205\/(-2). Is x equal to -204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/89, 2\/11, 5, 0, -2?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*a + 21, -5*d - 6*a + 2*a + 30 = 0. What is the units digit of (d\/(-3))\/(6\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -5274\/115747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -697\/2 - -16783\/48. Find the common denominator of -81\/200 and p.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3 + m - 3*m + 5*m**2 + 18 - 11 - 6*m**3. Is u(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.2 and 5.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from bbibiiqii.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(4\/(-1)*1)*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2. Let h(w) = -80*w + 9. Let b be (1\/(-2))\/(11*11\/2178). Let u(c) = -20*c + 2. Let x(r) = b*u(r) + 2*h(r). Determine x(f(v)).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 89 - d384?\nAnswer: -d2d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/((-8)\/(-2)))\/(-1*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*b**3 - 497*b**3 - 5*b**2 - 1276*b**3 + 5*b**2.\nAnswer: -2026*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23564489 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: Calculate prob of sequence syuu when four letters picked without replacement from uusyuuusyyy.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -14*k**3 + k**2 + k + 1. Let w(h) = 14*h**3 - h**2 - h - 1. Let y(d) = 3*p(d) + 2*w(d). Let q be 8\/(-4) - (-1 - 0). Is y(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-16)*7\/(2 + -23). Let z be ((-31)\/4)\/((-2)\/2). Let n = 8 - z. Which is the closest to n? (a) -2\/7 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -48*s + 4\/3*s**2 + 2\/9*s**3 + 0 = 0.\nAnswer: -18, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57321836 is divided by 8188832.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*z + 50*z - 6*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/5 + 191*w**3\/5 - 934*w**2\/5 + 744*w\/5.\nAnswer: -w*(w - 186)*(w - 4)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.5 or 1081403?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*n - 5*w, 5*w - 3 = -n + 7. Suppose -n*l - b = -40, -l + 2 = 2*b + 3. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -375e30 (base 15) to base 8.\nAnswer: -12074632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.5 - -6. Let a be 0 - (4\/(-16) - 0). What is the nearest to 3 in 1, a, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83982919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*s + 520*s - 6060 = -290*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r. Let y(i) be the second derivative of -i**4\/6 + 7*i. Calculate y(w(t)).\nAnswer: -450*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -8067276 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72 take away 3.56?\nAnswer: -4.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 55560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.7 + 3. Let m = -445 + 447.57. Let h = 4.57 - m. What is the biggest value in -1\/5, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2. Let t(o) = 175*o**2 + 1. Give t(q(i)).\nAnswer: 175*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3)\/(u\/u**(1\/8))*((u*u**(-1)\/u)\/u)\/(u**(-2)\/u))\/((u**5\/u**(-4))\/((u*(u*u*u**4*u*u*u)\/u)\/u*(u\/(u**(4\/9)*u))\/u)) assuming u is positive.\nAnswer: u**(-215\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3946 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5822 from 0.\nAnswer: 5822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96580 and 128194.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9\/4 + -11\/4. Sort 3, 0, 4\/13, l.\nAnswer: l, 0, 4\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 49. Suppose 0 = 3*q + 9, 0 = 6*p - a*p + 4*q + 817. Suppose 0 = -z - 2*r + p, 5*z + 13*r - 4055 = 18*r. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**4 + 845035*b**3 - 6760905*b**2 - 51549835*b - 43943900 = 0?\nAnswer: -169015, -4, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from ejylf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 530.7 (b) 45 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, 6, 39, 94, 177, 294, 451, 654?\n\"Answer: a**3 + 2*a**2 + 4*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3904*o**5 - 7882*o**5 + 3778*o**5 - 6*o**2 - 89*o wrt o.\nAnswer: -12000*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 527, -20, -4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bibiibbiiibbbibiibbb. Give prob of picking 2 b and 1 i.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 32, -36, -3.\nAnswer: -36, -3, -2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1688, -3367, -5042, -6713, -8380, -10043?\n\"Answer: 2*k**2 - 1685*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*s + 259*s = 1 - 28. 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: Let w = -15 - -20. Let q(s) = s - 5. Let d be q(w). Let o(j) = -j**2 + 3. What are the prime factors of o(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2450951 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 9*z**2 + 5*z + 15. Let f = 1 - -7. Let i be a(f). Let d be 4 - (-38)\/i - (-58)\/18. Solve 5*y - d*r + 25 = -6*r, -2*y - 10 = r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*l - 24854 - 21266 - 12173 = -3*l for l.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 2025723921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -38. Suppose 5*i - 6*i = -s. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 12*z**2 - 16*z + 14. Let m(g) = g**2 + g. Let y(h) = i(h) + 2*m(h). Let a be y(13). Solve -a = -2*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11222220220 (base 3) to base 4\nAnswer: -120000312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + p + 3. Let o be w(0). What is the smallest common multiple of (o\/(-2))\/(1\/(-8)) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92544 divided by -241\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 19 = 2*y, 5*w - 2*w - 2*y = 21. Suppose 5*t = -w*h + 259 + 2756, 5*h - 3015 = 2*t. List the prime factors of h.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1131 and 457707?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1433, 3350, 5267, 7184, 9101, 11018?\nAnswer: 12935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -361\/6 - 1\/6*x**2 - 19\/3*x.\nAnswer: -(x + 19)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Let p(y) = 11*y - 231. Calculate z(p(u)).\nAnswer: -121*u**2 + 5082*u - 53361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7871.\nAnswer: 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1614, -1619, -1628, -1641, -1658, -1679, -1704?\n\"Answer: -2*i**2 + i - 1613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*d = -0*d + 12, 0 = -2*c - 2*d + 16. Suppose q - 25 = 5*z, 4 = -z + c. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*z = -32*z - 150 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3971 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1541\/480 + 16\/5. Let u = r + -21\/32. Let t(i) = -i**3 + 11*i**2 - 11*i + 5. Let n be t(10). Is n at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 24 + 18 = 0. What is the closest to -0.1 in j, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 19*o**3 + 6*o**3.\nAnswer: 29*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 120*a - 11. Let b be f(2). Let d = b - 226. Solve 2 = -5*u - 3*z, -u - d*z - 10 = -0*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (141806\/14)\/(8\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4086 + 4082. Which is the nearest to -2\/7? (a) p (b) 4 (c) -344\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/6 and -109\/1540.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 67106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 7 - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 57945 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 649013375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 60715 + 5439 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30985702?\nAnswer: 2, 11, 107, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 89 = -4*y + 7, 2*y + 3*k - 28 = 0. Suppose 2*d = 6*d + y, -2*n = -2*d + 262. Is (-2)\/(-5) + n\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -25*w**2 + 40*w - 40. Suppose 0 = 8*s - 6*s + 80. Let p(x) = -2*x**2 + 3*x - 3. What is s*p(r) + 3*i(r)?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-530)\/65 - 4\/(-26). Let q be -690 + -6*(-4)\/u. Let l = q - -2141\/3. What is the common denominator of l and 24\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*a + 3 = -14, -a = -5. Suppose l + 8 = 5*u. Factor 2\/3*h**3 + 2\/3 + u*h + 2*h**2.\nAnswer: 2*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1249, 1957, 2665, 3373, 4081?\n\"Answer: 708*u + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 164 = -5*s. What is the third derivative of -r**5 + 6*r**2 - 41*r**3 + s*r**3 wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12701 + -12680. What is the fifth smallest value in 2, 9, -2, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + l + 2. Let z = -1 - -3. Let y(j) = 3*j - 1. Let h be y(z). Suppose v - m = 0, -h*v + 2*v + m - 4 = 0. What is a(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -359 - -1292. Let s = -302 + a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8895, -17816, -26737, -35658, -44579, -53500?\n\"Answer: -8921*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32949 is divided by 52.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/(-55) - -7)*11 + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 33. Let l = f + -11. Suppose -2*t - 69 = -n, n - 300 = -3*n + 2*t. Calculate the greatest common factor of n and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 14*j**2 + 24*j - 12. Is 22 a factor of b(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = -69*n + 149*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) 461 (c) -5 (d) 11 (e) 6\/17 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z - 28. Let p be m(-7). Suppose 4*x = -4*w + 16, p = -2*x + 2*w - 3 + 11. Solve -c - x*c + 15 = 0, 4*i = -2*c + 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/9))\/g**(9\/4) assuming g is positive.\nAnswer: g**(-49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/((sqrt(24) + sqrt(6) + sqrt(6))*1).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 17*a - 555 - 17*a.\nAnswer: 2*a**2 - 555","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 378.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 237 + -97. Let a be (t\/(-49))\/((-4)\/14). Let j(s) = -s**2 + 9*s + 13. Calculate the remainder when 10 is divided by j(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4632, -139, 7350, 17835?\nAnswer: 31316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 408606839?\nAnswer: 1\/408606839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/23, 1\/3, -0.16?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 210102110?\nAnswer: -210102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 8*y**2 - 9*y + 1. Let x be j(9). Solve m - x = -2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 6*c**3 + 4*c**3 - 4*c**2 - c**3 + 4*c**2 + (-2 + 1 + 0)*(c**3 + 3*c**3 - 2*c**3) + (-2*c + c**2 + 2*c)*(-3*c + 3*c - c) + 2*c**3 + 3*c**3 - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3086 is divided by 280?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-627522)\/(-231) - 24\/44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -31*b**5\/60 + 2473*b**2. Let v(j) = 100*j. Let d(y) = -9*y. Let o(p) = 45*d(p) + 4*v(p). Calculate o(x(u)).\nAnswer: 155*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -128*m - 1 + 126*m + 1. Let l(p) = -7*p. Give y(l(w)).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1\/6, -8.\nAnswer: -8, 1\/6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 5. Let b(u) = -u**3 - u**2 + 2*u + 220. Let f be b(0). Suppose 0 = 8*i + 12*i + f. What is j(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3118, 0.1, 1, -0.1, 4?\nAnswer: -3118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4720, -4704, -4676, -4636?\n\"Answer: 6*i**2 - 2*i - 4724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 8. Let g be k(-14). Let y(c) = -11*c**2 + 13. Let a(h) be the first derivative of 5*h**3\/3 - 6*h + 1. Calculate g*y(d) - 13*a(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -385, 4, 76\/7 in decreasing order.\nAnswer: 76\/7, 4, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = -3*o. Let w be 0\/(-3*1\/o). Suppose w = 3*y + 28 - 85. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393*j - 392*j - 3*h - 4452 = 0, 0 = j - 5*h - 4448. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23234 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3144, -5, -1 in increasing order.\nAnswer: -3144, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 51 = 5*y + 4*q, -2*y + 8 = q. What is the nearest to y in -3, 5, -39?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/3, -1\/11, 2, 3\/17, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 7*f + 17. What is m(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 11157760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: 43928 divided by -1292\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 21*l. Let z(o) = -473301*o. Determine g(z(s)).\nAnswer: -9939321*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - f = 0, -31*m - 2*f = -32*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -618 - -637. Solve -6*h + 4*h + 2*s + 10 = 0, 2*s = 5*h - r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/12 and -47\/202362?\nAnswer: 404724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20201 is divided by 297.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*i**3 + 126*i**3 - 24*i**2 - 218*i**3 + 20*i**2.\nAnswer: 2*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 2 - (-4 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 - 130. Solve -4*b - 5 = d*u, 0 = 4*u + 5 - 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1723 and 2960703213.\nAnswer: 2960703212.8277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.99 - 15.01. Is x at least as big as 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2156)*-1 - sqrt(2156)))\/(sqrt(24)\/(sqrt(18)\/sqrt(3)) - 1*sqrt(4)*-1).\nAnswer: 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 10*b - 21. Let h be f(-6). Solve 2*j - 5 = -h*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-78))\/(1\/(-8))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - 2471448435662.\nAnswer: -2471448435629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1471640 and 4560?\nAnswer: 167766960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102229*n**3 + 1059*n**2 + 2 wrt n.\nAnswer: 613374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-172)\/602 - (-954)\/7. Suppose 0 = d - 3*v + 27 + 32, l = -2*d - 3*v. Is -63 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-22))\/(116\/319).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 8*z + 7. Suppose 0 = -4*j - 16, 3*n + 116 = z*n - 2*j. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 4)*(-33)\/55. Suppose x*n + 2*n - 495 = 0. Suppose 0*v = -3*v + n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*h - 80401 + 80401 - 503*h + 981*h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/(27\/(5616\/(-8)))\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 4. Suppose -a + 1 = -3. Let w = 5 + -19. Let n = w - -15. Let l(u) = -1. Calculate a*l(f) + n*t(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7090969 = -146*i - 2171207. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6050) + sqrt(6050) + -1 + 2.\nAnswer: 1 + 110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3010202 + -11?\nAnswer: 3010131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 234187572 minus 4?\nAnswer: 234187568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1741, 4212, 8331, 14098, 21513?\nAnswer: 30576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 1:41 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 68*x**2 - 222*x.\nAnswer: 2*x*(x - 37)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 5, 2, -199478 in descending order.\nAnswer: 5, 2, -4, -5, -199478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -o + 2386, -5*h - o = -2477 - 505. What are the prime factors of h?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24 - ((-12)\/(-2) - 2). Let r = k + 40. Suppose 3*d + 5*x - 39 = 0, 5*d + 2*x - 24 = r. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**4\/9 + 5552*a**3\/9 + 1875928*a**2\/9 - 3903056*a + 17791524 = 0?\nAnswer: -703, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25546636.\nAnswer: 2, 53, 120503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(243))*5 + -4)**2 + ((sqrt(3) - 5*sqrt(3)*-1) + -1)**2 + -4.\nAnswer: -822*sqrt(3) + 6261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4383 or -762?\nAnswer: -762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 4:30 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 661*n + 660.\nAnswer: (n - 660)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 763842.5 micrometers in nanometers?\nAnswer: 763842500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1.3, 1\/10, 1\/7, -2\/19?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 5:20 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -2*d**5\/5 + 133*d**4\/2 + d**3\/3 + 405*d - 1415. What is the third derivative of q(f) wrt f?\nAnswer: -48*f + 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 563.7 - 575. Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-9 - (-3 + 14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18.1928 + 501404\nAnswer: 501422.1928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.792 times -0.3?\nAnswer: -286.1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.7 (b) -0.69 (c) 0.3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -534852, -534889, -534926, -534963, -535000?\n\"Answer: -37*u - 534815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 7362 = -10*d. Let b = 583 - d. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 118. Let o(z) = 2*z + 358. Determine -7*d(n) + 2*o(n).\nAnswer: -3*n - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*n + 2940 + 1524 = -123*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5562, -5684, -5806, -5928, -6050, -6172?\nAnswer: -6294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 c when four letters picked without replacement from jjjccjjjjcjjcj?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 + 0*v**2 + 0*v**2 + 0*v**2 + 0*v**2 - 2*v**2 + (3 - 3 + 2*v**2)*(-2 + 1 + 0) - v**2 + 2*v - 2*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 z, and 1 p when three letters picked without replacement from {e: 7, p: 3, z: 2, d: 5}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3949, 4154, 4495, 4972?\n\"Answer: 68*f**2 + f + 3880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 4) to base 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 162617 and 16894.93.\nAnswer: 179511.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-4) + 2)*-8. Suppose -r*z = 4*b - 10, 3*b + 5 = 4*z - 15. What is the first derivative of -3*p**2 + b*p**2 + 4 + 2 - 4 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*k + 21*k**2 - 188*k as s*k + h + x*k**2 and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -22*p + 18. Determine r(7).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1766279 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -831 - 5417. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*a**2 - 8*a**5 - 94*a**2 + a**5 wrt a?\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -46. Suppose -210 = -m*a + 546. Let r be a\/24*(-8)\/(-78). What is the biggest value in -4, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46489 is divided by 139.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 + 1)*(2 + 0 + 3)*(-3 + n + 3).\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/208100802 and -56\/4329.\nAnswer: 624302406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(1 - 4)*(-4)\/28. Which is the third smallest value? (a) -3 (b) k (c) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910 = -187*q + 117*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924*n - 176*n - 13991 - 5457 = 0 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, -165699, 0, -5, -4.\nAnswer: -165699, -5, -4, -2, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*p + 7873 - 1878, 0 = -3*p + 12. What are the prime factors of a?\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11306.73nm to micrometers.\nAnswer: 11.30673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000094281859 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 8*o**2 + 14*o - 2. Let v be m(6). Let a(f) = 3*f**2 - 18*f + 6. Does 17 divide a(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*a = 47*a. Suppose a = 2*b - 6*b + 128. What is the remainder when 94 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176.84737+0.88239\nAnswer: 177.72976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/212679 and -18\/86647.\nAnswer: 2339469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -12*r + 52. Let l be y(4). What is the remainder when (-80 - -3 - -7)*l\/(-5) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 325756 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.091 + -0.09. Let g = j + -0.049. Put g, 4, -4, 3 in descending order.\nAnswer: 4, 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*m - 31*m + 17*g + 26 + 23, 20*m = 16*m + 4*g + 36 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 17*v - 11*v + 5*v**2 - 16*v**2 - 19*v - 16 + v**3. Find the common denominator of 11*1\/(1*-10) and p(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*p, 0 = 5*x - 6*x + 5*p + 53. Let o be (-270)\/25 - -11 - (-133)\/285. Sort x, -1, o in ascending order.\nAnswer: -1, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2251041122 and -4.\nAnswer: -2251041126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15217301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1655, -1660, -1669, -1682, -1699?\nAnswer: -1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2330*w + 2662 + w**3 + 3038 - 4*w**3 + 248*w**2 - w**3 + 2*w**3 = 0. What is w?\nAnswer: 5, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1239451 + 0.0207541.\nAnswer: 1.1446992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2505782927 + 0.292\nAnswer: -2505782926.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -22*r**2 - 16*r + 10. Let l be 5292\/(-315)*(-5)\/1. Suppose l = -6*z + 24. Let f(k) = 7*k**2 + 5*k - 3. Determine z*f(c) - 3*a(c).\nAnswer: -4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.889 - 2.896. Let r = q + 0.007. Which is the second smallest value? (a) -2\/5 (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -951, -98, -3 in decreasing order.\nAnswer: -3, -8, -98, -951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66 and -130.\nAnswer: -8580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 1, s: 1, o: 1, b: 1}. Give prob of sequence go.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 h when three letters picked without replacement from {a: 2, h: 1, z: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 4:59 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 604106259 and 1107.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q - 3. Let f be j(-2). Suppose 0 = r - 4*r + 48. Calculate the remainder when ((-124)\/16)\/(f\/(-4)) is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375 and 6555875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 592 (base 13) to base 16.\nAnswer: 3c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 6*s + 15*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.2 (c) 0.027 (d) -83 (e) 3 (f) -2 (g) 561\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1621\/77 + 749\/11. Suppose 33 + 56 = y. Let c = d - y. Does c = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, p: 6}. Give prob of sequence fp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 927b1?\nAnswer: 927b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -7, -0.19 in increasing order.\nAnswer: -18, -7, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35581 and 1274?\nAnswer: 498134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + 213?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 814.9256 decades?\nAnswer: 8149.256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 346601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 divided by 2?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 176 = 30*k. Solve 0 = -g - 3*p - k, -g - 12 = -4*g + 3*p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1323*x**4 + 2611350*x**3 + 1288328151*x**2 - 245466900*x + 11690028 = 0. Calculate x.\nAnswer: -987, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)\/(t*t\/(t*t\/t**(-8))))\/((t**(-18)*t)\/t*t\/(t**(-8)*t)) assuming t is positive.\nAnswer: t**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15c58 (base 13) in base 7?\nAnswer: -232264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2)\/42)\/(56*(-3)\/144)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:55 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2 + 47*n - 130. Calculate l(7).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*t + 18999, 98*t - 3*j - 23795 = 93*t. Calculate the highest common divisor of 232 and t.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 585, 580, 575?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -28464 and -28468 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107*q**2*y**2 - q**2*y + 9*q**2 - 8718*q*y**2 + q*y - 6*q + 12 wrt y.\nAnswer: -214*q**2 - 17436*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 357745584 divided by 1064719\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*v + 24, 4*v - w - 60 = 3*w. Suppose -4 = -k + 7. Calculate the highest common divisor of k and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -266, -234, -86, 172, 534?\nAnswer: 994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 n, and 1 j when three letters picked without replacement from jjanjaaganaanyj.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 7*x**4\/120 - 9*x**3\/4 + 19*x**2\/10 + 90*x - 2. Suppose q(w) = 0. What is w?\nAnswer: 2\/7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/615, 7\/5, -0.3, -170?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19297063543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:21 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -18*g + 15*g. Suppose 0 = q + 3*c - g, 0 = -0*q + 2*q - 3*c - 133. Calculate the greatest common divisor of 155 and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2645.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1453, 2920, 4355, 5734, 7033?\nAnswer: 8228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + t - 25 - 18)*(7*t**2 + 6*t**2 + 5*t**2).\nAnswer: 18*t**3 - 396*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 13160 (c) 1 (d) -5 (e) 5 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**3\/6 - 2987*i. Let s(d) = 7473*d. Determine s(r(q)).\nAnswer: 7473*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - h**2 + h + 1. Let n(m) = -3*m**3 - 2*m**2 + 2*m + 8. Give 2*k(c) - n(c).\nAnswer: c**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5762 - 5*v + 4*v - 6112 as c*v + b and give b.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 4*r + g - 29, 2*g = 6*r + 52 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-5 + 10)) + 7 + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 7. Let v = 4 + -2. Let t = -2 + v. Which is the biggest value? (a) u (b) 1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/5 - 25)\/(-1). Let h(a) = 1 - d + 8 - 2*a. Determine h(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**7\/525 + r**6\/75 - 2*r**5\/75 - 2*r**2 + 2. Let h(y) be the second derivative of c(y). Factor h(b).\nAnswer: -2*b**2*(b - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2. Let x(u) be the first derivative of 2*u**3 - 5*u**2\/2 - u + 467. What is -4*b(w) - x(w)?\nAnswer: -2*w**2 + 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522, -1115, -1722, -2349, -3002, -3687, -4410?\nAnswer: -5177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 13*c - 12. Let z be y(9). Let i = z - 32. Let b(v) = v - 9. Let t be b(0). Which is smaller: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/2 + 0)\/(-526 + 525)*1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = 2, 0 = 3*i - 2*g - 80. Let v = 51 - i. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 342 + 228. Round f to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8809*u**4 + 5*u**3 - 2*u**2 - 469*u - 516.\nAnswer: 105708*u**2 + 30*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -843462 divided by -6\nAnswer: 140577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 745292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4447829, 8895449, 13343069, 17790689, 22238309, 26685929?\n\"Answer: 4447620*v + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/7 (b) -1\/4 (c) -0.09 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -610*u**3 + 24*u**2 + 251100*u wrt u?\nAnswer: -3660*u + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1846268*d**2 + 4960202 wrt d?\nAnswer: -3692536*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 24261.7427 to the nearest 10.\nAnswer: 24260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23026 and 190472?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l. Let g(n) = 3*n - 3. Let b(i) = -12*i + 12. Let o(a) = 2*b(a) + 9*g(a). Let x(v) = -o(v) - p(v). Calculate x(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojvvvjpvjjjjjojp. Give prob of picking 1 o, 1 j, 1 v, and 1 p.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -193051000 to the nearest one million.\nAnswer: -193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -15, 4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7677108 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 take away 1037.2?\nAnswer: -1037.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-4)\/5)*(-90)\/18. Let a = 572 + -269. Suppose -4*c = -z*k - a + 63, -2*k - 4 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-372)\/(-4092))\/(1\/(-176)) - (5646\/(-118))\/3?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6754.\nAnswer: 2, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 269, 391, 497, 581, 637, 659, 641?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**2 + 41550*z - 4267120 = 0. Calculate z.\nAnswer: 104, 8206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-2*12\/(-8). Suppose 62 = -j + y*j. Calculate the remainder when j is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-3\/4)*u)**(8\/7) assuming u is positive.\nAnswer: u**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560*c**2 - 35*c**2 - 28*c**2.\nAnswer: -623*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -17*t**3\/6 + 3*t**2 - 4*t. Let m be i(-5). Calculate the highest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 + 16*q - 6. Let l = -7 - -13. Let x be w(l). Let p = x - -22. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02677 and -0.5.\nAnswer: -0.47323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 + -102. Suppose 4*t + 5*b - 654 = d, -5*t + 809 = -b + 3*b. What are the prime factors of t?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a2 (base 11) to base 12\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63.2 - 63.1. What is the closest to i in -4, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.1. Let v = -0.4 - -0.35. Let u = 1.95 - v. Which is the closest to l? (a) 0 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78\/2753351 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 1\/397 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34078 and -5.38.\nAnswer: -183339.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 155 divided by 10973\nAnswer: 155\/10973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m - f + 7 = 0, -3 = 3*m + 3*f. Suppose 5*c = -3*r - 8, -r + 3*c - 5*c - m = 0. Let k(w) = w**2 + 7*w - 2. Determine k(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*s - 2*x, -2*s - 3*x = -s - 12. Suppose -v = -3*p + 52, v + s = 2. What is the remainder when 49 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.2 + -23. Let p = -1.2 + z. Let h = 11.125 - p. What is h rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a**2 - 14. Let f(y) = 2*y**2 - 3. Suppose -4*c = 16, -57 = 2*b + 5*c - 9. Let t(q) = b*f(q) + 3*z(q). Let l(k) = k. Give t(l(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n - 12. Let g(s) be the third derivative of s**4\/12 - 2*s**2 - 21. What is g(r(u))?\nAnswer: 26*u - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, -31, -86, -163, -262, -383?\n\"Answer: -11*s**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43\/6975 - 8840201\/13950. Let p be (2\/(-10) - (-15420)\/(-25)) + (-30)\/6. Let i = u - p. Calculate the common denominator of -77\/20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77607, 77608, 77609?\nAnswer: 77610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 0 - 2*s - 3*s**2 - 1\/3*s**3. Suppose 19*m + 43 = -71. Calculate d(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptfrwru. Give prob of picking 1 w, 1 r, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and 108?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 815 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*m + 4 + 1, 0 = -5*i - m + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*j + 49 = 0, 3*y - 5*j = 7*y - 196. Let n = -44 + y. What is the third derivative of 13*u**2 - 2*u**n - 9*u**2 + 10*u**2 wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + (sqrt(153) + sqrt(153)*-3)\/sqrt(3))\/sqrt(3) + (sqrt(102) - 2*2*sqrt(102) - sqrt(102))\/sqrt(6) + -1.\nAnswer: -5*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 204538369 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*k + 298*k + 110175 = 1776*k for k.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 5, 0 in increasing order.\nAnswer: -23, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, l: 4, j: 4, i: 2, t: 1}. What is prob of picking 1 i, 2 q, and 1 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krkyrkyr. Give prob of picking 2 k.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 5 - l + 2*l. Is a(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-116*s + 65*s + 65*s - 3)*(-s - 4*s + 2*s) to p*s + a*s**2 + c and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 77*h**4\/12 + h**3\/3 + 3*h**2\/2 + 4*h. Is z(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188 - 184. Calculate the common denominator of (1428\/(-882))\/(f\/(-18)) and ((-2)\/(-6))\/((-3)\/(-31)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 69, 180, 335, 534?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 44518864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f - 20 = 0. Let z be -2 + 1 - 4\/f. Find the common denominator of 87\/16 and z\/(144\/(-244)) + 0.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (0 + -1)*-8. Suppose 104 = 2*s + 2*j, 2*j - 288 + 76 = -4*s. What is the greatest common factor of s and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44985963 to the nearest one hundred thousand.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -24*y - 6. Let a(d) = -24*d - 5. Let n = -24 - -32. Let p = n - 14. Let i(f) = p*a(f) + 5*b(f). Let w(m) = -m**2. Calculate w(i(j)).\nAnswer: -576*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/2259 and -29\/21110.\nAnswer: 47687490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = 2*j. Suppose 40 = j*y - 5. Suppose y*d = 19*d. Solve d*m + m = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 - -34. Let u = d - -98. Let f = -16 - -12. What is the fourth smallest value in -3, u, -1\/4, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i + i**2 + 2*i**2 - 11*i.\nAnswer: 3*i**2 + 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28026 is divided by 86.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (-4 - (-3 - 29)). Suppose -70 = -2*j + n. List the prime factors of j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30*((-8)\/10)\/(-2). Let h = 5 - f. Let v = 21 + h. What is the remainder when 40 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -220010322?\nAnswer: -220010332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:32 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2239 + 619. Calculate the greatest common divisor of m and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7777 is divided by 90?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3688 - -0.374. Round n to four decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8736 and 108.\nAnswer: 78624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 615520*z - 1846513. Give w(3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 11*b + 1. Calculate the remainder when u(7) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*m + 5*f - 43, 0 = m - f - 16. Suppose 0 = 2*l + x - 33, -2*l + 5*x + 0 + m = 0. List the prime factors of 10*(144\/l + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508968*s**3 - 2*s + 2*s - 508992*s**3.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14715 - 14715 - m - 106*m**2 + (0*m + m - 2*m)*(0*m - 4*m + 5*m).\nAnswer: -107*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -1, 3, -62, 3262?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 28. Let k be b(-9). Let s be 0 + 6\/(-27) + (-69290)\/(-117). What is the highest common factor of s and k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f. Let y be 3\/(-1047)*2092 - -4*60\/40. Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3607 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) + (-110)\/120. Let n be (3\/7)\/(3\/(-2)). Let d = -4.4 + 4. Which is the biggest value? (a) o (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -164. Suppose -5*s + z = -4*k, -8*s = -4*s + 4*k - 52. What is the smallest common multiple of s and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -218 + 138. Let m = -198 - -118. Let u = p - m. Let y(x) = -x + 7. Determine y(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, l: 1, k: 1, p: 1, c: 1, a: 2}. What is prob of picking 1 c, 1 d, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -604 by -151.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 71*r - 258. Calculate y(32).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-9)*(-243)\/9639?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*y - b, -4*y + 2*b + 20 = -2*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18023*l**2*x**4 - 148942*l**2*x**2 + 7*x**5 wrt x.\nAnswer: 432552*l**2*x + 420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -269.8, -0.4, 3\/29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-534)\/12 - 70\/(-10))\/(-2 + -1)?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Find the third derivative of 3*m**2 - o*m**2 - 2*m**6 + m**6 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 166, 173?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.159575604549 + -23471446.841294395451. Let b = t + 23471570. Let y = b - 122. What is y rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 6*r**2 - 7*r - 1. Is f(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229288\/14 - (1032\/(-84) + 13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tug when three letters picked without replacement from uctcucuusucgssuts?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 q, and 1 a when four letters picked without replacement from {a: 5, i: 1, s: 4, x: 2, q: 2, b: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1284 = 7*m + 318. What is the remainder when m is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**5 + 154071*s**4 + 2772417*s**3 + 5697441*s**2 - 60989280*s + 74544228 = 0.\nAnswer: -51339, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*1*1)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eecucyuybekuby. Give prob of sequence ku.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3358868 - 3358864.820761. Let h = o + -3.18. Round h to five decimal places.\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/11740509 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 - -2.8. Let c = b - -0.1. Is 2 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**2\/5 + 191144*p\/5 - 382272\/5 = 0.\nAnswer: 2, 47784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 71 = n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*t = 15, -101*c + 99*c = 2*t - 8. Solve -g - 6*m - c = -8*m, -4*g = 5*m - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + c + 7*c**3 - 2*c**3 + 2 + 2*c**4 - 8*c**3 to y*c**4 + a*c**2 + t + j*c**3 + l*c and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -36. Let i = x + 11. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418168687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 975*u**2. Let r(a) = 4*a + 4171. Calculate r(l(x)).\nAnswer: 3900*x**2 + 4171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 203 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.78356km to millimeters.\nAnswer: 32783560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.551306*-708.\nAnswer: -390.324648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 58128.\nAnswer: 116256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113265 and 64931049?\nAnswer: 7551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46707101 is divided by 15569016.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*d**3 + 1504*d**2 - 2 wrt d?\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 16) in base 4?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 6*h + 18. Let b be f(5). Let x be b\/13 - (1 - (-908)\/13). Is -71 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13540101?\nAnswer: 3, 107, 42181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*((-1)\/1)\/(-2). Let c(g) = 15*g - 15*g + j*g**2. Let h(m) = -2*m**2. Give c(h(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 527 - 103. Let g = 272 - b. What are the prime factors of 25*((-6)\/(-4))\/((-30)\/g)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + (-539)\/(-42))*-4. Let f = p + 36. Factor 8\/9*q**3 + 0 + f*q**2 + 0*q + 2\/9*q**4.\nAnswer: 2*q**2*(q + 1)*(q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19302 divided by -6\nAnswer: -3217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1832318676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvfqffqavqqfvvvfff. Give prob of picking 1 v and 1 a.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/20*(-4 + 154\/21). Solve -n + 5*o = 23, -4*o + 23 = -5*n - b*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -499.6 - -442. Let l = o + 58. Let b = l + -0.399942. What is b rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 7087.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215630, 215628, 215626, 215624, 215622?\nAnswer: 215620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27991\/4928 - -159\/28. Is m smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 216 = 60. Let o(l) = -168*l + 7564. Let h be o(45). What is the greatest common factor of h and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9428029, -18856058, -28284087, -37712116?\nAnswer: -47140145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, a: 1, h: 6}. Give prob of sequence hii.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3 and 58\/756833.\nAnswer: 2270499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8457381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12499240 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -717 = -4*g + 167. Suppose l + 447 = 2*k, -k + 2*l - 4*l = -g. Suppose -k + 787 = 4*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -614 (base 12) to base 2\nAnswer: -1101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*t + 15 = 187*t + 5*p, 3*t + 3*p = 33. Solve -3*n = -t*g + 2*n - 10, 5*n = 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 635690, 1271377, 1907064, 2542751, 3178438?\n\"Answer: 635687*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -868 + 912. Calculate the lowest common multiple of h and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33911286 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 60936.\nAnswer: 182808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -7) + 5 + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + sqrt(51)\/sqrt(3))**2 + -2*sqrt(119)\/sqrt(7) + -4.\nAnswer: -4*sqrt(17) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6621*f + 5174*f = -36175 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 297712\/(-3036)) + 8\/(-132)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/8 of a day?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 504 = 4*n. Let m = 114 - n. Let f(o) = -o**3 + 6*o**2 + 7*o - 3. Calculate f(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = h + 3*t, -61*h - 5*t = -59*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6520727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 - 472*k**2\/7 + 15770*k\/7 - 142956\/7.\nAnswer: 2*(k - 198)*(k - 19)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + -4 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -944.4 (b) 0.2 (c) 1\/6 (d) 0.5 (e) 1 (f) -4 (g) -18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 - 65. Suppose 3 = v*b - 1. Is 14 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7920*n + 7920*n + 7915*n - 47480*n + 7911*n + 7910*n + 7908*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/3 - 15736*k**2\/3 - 220892*k\/3 - 257936.\nAnswer: 4*(k - 3948)*(k + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*u + 31473 = 30*u. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1132)\/54 - 9\/243?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072000 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 3. Suppose 1 = f - 0. Suppose 3*m = f + 8. Let r(g) = g**2 - 2*g - 4. Suppose 0 = -18*n - 38*n + 112. What is m*x(y) + n*r(y)?\nAnswer: 2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 4*p**2 - 26*p + 5. Give y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*b**4 + 111*b**4 + 64*b**4 + (1447*b + 65*b**4 - 1447*b)*(1 + 1 - 1) as a*b**4 + h*b + y*b**2 + q*b**3 + z and give a.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 34 = -7*r, 3*i + 6934*r - 6939*r + 25 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 11*g**2. Let r(s) be the third derivative of s**5\/60 - 3*s**2 - 25*s. What is v(r(i))?\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 483375045 to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 2778*b**2 - 33120*b - 99144.\nAnswer: -2*(b + 6)**2*(b + 1377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5576 less than or equal to -5285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = 2*j. Let c(a) = -a + 7. Let m be c(j). What is the highest common divisor of 7 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j + 0*j + (-3 - 4 + 5)*(-3*j + 3*j + 2*j) + 31*j + 33*j - 69*j)*(-206 - 111 + 72).\nAnswer: 2450*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 17, -0.2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5 - 276*u**4\/5 - 1548*u**3\/5 + 4864*u**2\/5 - 786*u + 180 = 0.\nAnswer: -15, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38388, -38658, -38930, -39204, -39480, -39758?\nAnswer: -40038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46856333 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/6 + 416*o**3\/3 - 1673*o**2\/2 + 3769*o\/3 - 1676\/3 = 0. Calculate o.\nAnswer: -838, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:42 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 55. Let k be r(29). Let m(u) = -u**2 + 43*u + 44. Does 11 divide m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n = -2. Let x be 239420\/32 - (n - 0). Let l = -7492 + x. What is the common denominator of -3\/4 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 4. Let t(o) = 5*o. Let h(c) = 6*c - 1. Let p(v) = -3*h(v) + 4*t(v). What is 4*d(l) + 5*p(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342)\/sqrt(6))\/sqrt(3) + 4)**2.\nAnswer: 8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -687.8 + 60.8. Let k = -628 - j. Is 1\/2 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 2*n + 4*b - 161, 5*n - 3*b = 306. Suppose -24*y = -26*y + 150. What is the greatest common divisor of n and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 565925.9ml?\nAnswer: 565.9259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1490 - 0.3213\nAnswer: -1490.3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*c = -539*c + 3*t, -5*c + 3*t = 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 7:08 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193 - -1541\/8. Let l = -38853 - -38849. What is the nearest to l in -2, y, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/8*0 - 9. Let l = c + 11. Find the third derivative of l*i**3 + 46*i**2 - 12*i**2 - 23*i**5 - 2*i**3 wrt i.\nAnswer: -1380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170.54 + 0.54. Let y = n - -170.5. Which is the third biggest value? (a) y (b) -7 (c) 1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96.873*33\nAnswer: 3196.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -46*y**2 - 2*y. What is b(-1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q + 17. Give g(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/((-14175)\/(-42))*-15.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963 divided by -104?\nAnswer: -151\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3084 - -3089. Let t be 2\/(-24) - 1\/4. Which is the closest to t? (a) 0 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3920 is divided by 55.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*q + 19 = -6, 5*y + q = -5. Let l be (y + -7)\/(7 - 30\/4). Suppose -19 + l = -w. What is the smallest common multiple of w and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 - 903\/(-224))*(-2 - -3) + 6. What is the biggest value in -1, z, -4.6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 814159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -84.45953 and 3?\nAnswer: 87.45953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-2*t**2 + t**2 + 0*t**2) - 2409369 + 2409369 - 5584*t**2 + t**2 - 6*t**2 + t**2.\nAnswer: -5587*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 - 13*u - 4*u**3 + 5*u + 8*u - 13*u**2. Let h(t) = -t**3 - 2*t**2. What is -39*h(i) + 6*o(i)?\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + p - 4*p + 62, 5*p = -4*u + 66. Solve -h = -y - u + 6, 0 = 4*y + 4*h - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 33. Let u be 15 - (m - 3 - -1). Let s be (-6)\/u - (-27)\/5. Solve 5 = -s*j + 4*k, -5*j = k + 3 + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-0.285.\nAnswer: -5.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 617*u + 101. Let p(w) = -617*w - 152. Let r(z) = 2*p(z) + 3*s(z). Let n(o) = o**2. What is n(r(q))?\nAnswer: 380689*q**2 - 1234*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27909, -112242, -252997, -450174?\n\"Answer: -28211*t**2 + 300*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 22*q + 101. Let c be b(3). Let p be 90\/8 + 1\/(-4). Let a = p + c. Is 36 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 13\/5)\/((-4)\/20). What is the second smallest value in 5, f, 154\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = o + 2, 3*o + 32 = -5*j + 27. What is the second smallest value in -5, 0.5, -5\/12, o?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqgzqzzqqqzgggqg. What is prob of picking 1 z and 2 q?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**3 + 3*m**2 + 3*m + 1. Let j be f(-1). Let u(w) = w**2 - 6*w + 5. Let s be u(5). Which is the second biggest value? (a) j (b) s (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 155*w**4\/3 - 2005*w**3\/3 + 1765*w**2 + 7945*w\/3 + 490\/3 = 0.\nAnswer: -1, -2\/31, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 75 - 78 - 39*k + 3*k**2. Let f be z(8). Let l = 1 - -2. Put -3, f, l, -6 in decreasing order.\nAnswer: f, l, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2170 and 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 5 - (-3 + (-236)\/(-18)). Which is greater: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*p - 99*p + 188*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 21*z**2 - 21*z + 15. Let c be w(-20). Let n = 67 - c. Let u(h) = -9*h + 1. What is the least common multiple of u(-1) and n?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (13548\/48*-268)\/(-2 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14244.\nAnswer: 2, 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -3*a**4 + 58*a**3\/3 - 67*a + 1. What is the second derivative of k(r) wrt r?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 37. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 242 - 20. Let f = q + 96. Solve 5*g = -0*l - l + 27, f = 4*g + l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2413 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 46 = -5*i + 89, -65*i - 54*i - 109 = -8*a - 122*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 39*z**2 - 66*z - 33. Let o(r) = -r**2 + 2*r + 1. Let m(n) = -66*o(n) - 2*w(n). Let l(v) be the first derivative of v**3\/3 + 1. What is l(m(h))?\nAnswer: 144*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -481*j + 1036. Is 97 a factor of z(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*s - 426 = -5*t, t + 2*s = 146. Calculate the remainder when t is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -103*b + 33. Suppose -3*s = 4*i + 19, 0 = -5*s + 2*i - 50 - 25. What is the units digit of v(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 91 + 83 = 3*o, 188 = 4*l - 4*o. What is the remainder when l is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179 + 178.99353. Round o to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*x**3 - 1 - 2 + 2 - x**3 + (5*x - 5*x - x)*(0 + 0 - 2*x**2) + (2*x**2 - 3 + 3)*(-3*x - 17 + 18 + 57*x).\nAnswer: 112*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 1. Let t(o) = -2*o**3 - 3*o + 11. Suppose 132*f + 12 = 126*f. Let x(s) = f*t(s) + 22*u(s). Factor x(v).\nAnswer: 4*v*(v - 2)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11080 - 3182. Let o = x - 4798. Round o to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by 18588.\nAnswer: -119\/18588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*u**2 - 681*u**2 + 129*u**2 + 130*u**2 + 127*u**2 + 137*u**2.\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 60056*r**2. Let s(w) = 4*w**2. Give m(s(k)).\nAnswer: 960896*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.359259ml to litres.\nAnswer: 0.008359259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272 = -4*t + 2*i, 10*i - 5*i = -5*t - 73*t + 3*i + 5140 for t.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + 17 = -13*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0)*5 + 2*sqrt(19)*-1 + -3*(sqrt(1216) + 2)**2.\nAnswer: -3660 - 93*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -1636?\nAnswer: -1633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138417 - -415247\/3. Let z = 0 - 0.2. Let h = 8 + -13. What is the closest to z in h, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*d - 259, -r = -4*d + 178 + 180. Suppose -5*j = -a - j - d, -a + j - 83 = 0. Is (2\/3)\/((-6)\/a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5027*n + 383*n - 485070 = 462*n for n.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -81560393 - 3?\nAnswer: -81560396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6402189174 to the nearest one hundred thousand.\nAnswer: -6402200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 11.1. Let l = -3 + 3.8. Let m = 2.8 - l. What is the smallest value in -1\/6, t, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30244140 (base 5) to base 2\nAnswer: 111011011111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -297222*f**4*n**3 + f**2*n**3 - 393856*n**3 wrt f.\nAnswer: -1188888*f**3*n**3 + 2*f*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 211*f. Let a be w(3). Is 20\/50 + a\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/17)\/x)**(4\/13) assuming x is positive.\nAnswer: x**(-60\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 7*x + 2. Let w be r(7). Let j be w\/7 + (-26)\/(-7). Solve -o = b + b - 6, 4*b - j*o = -12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 51\/(-36)*-2. Which is the smallest value? (a) -2 (b) n (c) -6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 7159\/48 (c) -0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000000000110011 (base 2) in base 8?\nAnswer: -300063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -26, -38, -52, -68, -86?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 45. Does 18 divide 5 + -6 + b + 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:09 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 13*h**2 - 12*h - 15. Let y be t(12). Let d be y\/(-3)*5\/((-50)\/(-6)). Let -4*k**d + 13*k**5 + k**5 - 6*k**4 - 4*k**5 = 0. Calculate k.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 4*i**2 + 7*i**2 - 11*i**2 + 167.\nAnswer: -2*i**3 + 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 272660.5381 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u. Let s(o) = -1235666*o. Determine x(s(f)).\nAnswer: 9885328*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/270 and -137\/18396930?\nAnswer: 165572370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -83*q**2 + 24*q. Let k(g) = 165*g**2 - 48*g - 1. Let f(m) = 5*c(m) + 2*k(m). Find the second derivative of f(b) wrt b.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*g + 103*g = 63*g + 2898. What is the second smallest value in 0.5, -2\/5, 1, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166073 (base 8) to base 10.\nAnswer: -60475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 x, and 1 r when three letters picked without replacement from {r: 10, f: 3, x: 4, y: 1}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79644, 159321, 238998, 318675?\nAnswer: 398352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 46 - 45)*(0 + 2 - 4)*(3*h + 2*h - 6*h).\nAnswer: -104*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsjcssssjccs. What is prob of sequence ssj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k. Let v(s) = 4*s - 7. Let i(b) = 5*d(b) - v(b). Let j be -30*(2 + (-24)\/10). Let n = -19 + j. Determine i(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171.8 - -187. Let m = -15.20000203 + x. Round m to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttvttrtvtuttrlu. What is prob of sequence uvr?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72812 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479*-1.\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -19. Suppose n = 5*g - 10, 5*p - 35 = -2*g. Let l = 170 + -166. Solve p*z = -19 + l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 21 - 7*t**2 + (t - t - 2*t)*(4*t - 4*t + t) to the form c*t + p*t**2 + z and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + 0.17. Let y = 29.45 + -31.3. Let z = y - w. What is the smallest value in z, -2\/23, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 4 = -2*i. Suppose -11*p + i*p = -16. Suppose 7*s - 75 = p*s. What is the remainder when 72 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4332 - 4281. What is the remainder when 77 is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: a67 (base 12) to base 3\nAnswer: 2002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188)\/141*1\/7*-3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20741955*b**2*y**2 + 2*b**2*y + b**2 + 893*b*y**2 + 2*b*y - 52924 wrt b.\nAnswer: -41483910*y**2 + 4*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 5, l: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*h**2 - 2*h**4 + 20*h**2)*(-8*h + 3*h - 4*h)*(2 - 2 + 1)*(2 + 0 + 2).\nAnswer: 72*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125031, 124935, 124777, 124557?\nAnswer: 124275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 380976 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -106. Let l = n + -13. Is -1 + 1797 + l + 1 + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/60)\/(2\/3). Suppose -j - 24 = -4*j. Let p be 12\/j*4\/42. What is the closest to -0.2 in p, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1641 + -844. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/2 + (-9)\/18. Is d\/(15\/(-138)) + 3 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017598 to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*l + 1280 = 6658 + 1097 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 9:02 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013846 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71, -40, -11, 16, 41?\n\"Answer: -c**2 + 34*c - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 38. Let z = -4417.077 - -4419. Let b = h + z. Round b to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60751928?\nAnswer: 2, 37, 167, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*v - 3*v - 5*a, 5*a + 13 = -3*v. Suppose -2*n = -5*n - 3*p + 30, 0 = -v*n - 2*p + 34. Let k(i) = i - 13*i - 6 + i**2 + n*i. Give k(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 173.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-3 - (5 - 10 - 3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -627*f - 6051. Does 3 divide d(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**5)\/(x\/((x\/(x*x**3))\/x*x)))**(-2\/27)\/(((x*x**(1\/2))\/x)**38\/((x*x**(-3)*x)\/(x*x**(6\/5)\/x))) assuming x is positive.\nAnswer: x**(-2882\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -11*t - 15. Let v(n) = 15 + 14 + 4*n - 24. Let k(f) = -3*b(f) - 8*v(f). Determine k(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - s - 8 = -3*s, -s = 4*u - 67. Suppose 3*z = -3*r + 5*z - 22, 3*z = -3*r - 27. Let n = u + r. 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 -891729600 rounded to the nearest one million?\nAnswer: -892000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -1 + -40 + 44.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59 and 10432037.\nAnswer: 615490183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 11*z**2 + 64*z - 53. Let o be s(15). Let j(d) = -2*d**2 - 2*d + 2. Let h(l) = -l**2 - l + 1. Give o*h(x) - 3*j(x).\nAnswer: -x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, 4, -15, -34?\n\"Answer: -19*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 38*k**2 - k. Let d(v) = -3696*v + 7395*v - 3697*v. Give d(u(a)).\nAnswer: 76*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 239 + -154. Let v be m\/(4\/1760*5). Round v to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/((i**(3\/7)*i)\/i*i)*i*i*i))\/i)\/i*i*i\/(i*i\/(i*i*(i*i**4*i)\/i))*i\/(i\/(i*i*i\/((i**(1\/8)\/i)\/i)))*i**(2\/9))**(9\/11) assuming i is positive.\nAnswer: i**(4297\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 37*i + 110. Let x be j(-3). Let b be (1\/(-3))\/(1\/(-9)). What is the lowest common multiple of 30 and 1*(x + b) + 16?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/1 + 44 + -1. Suppose g - b = -4*g. Let k(l) = 2*l**3 - 10*l**2 - 6*l - 1. Is k(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.68, 0.1, 2.21, 1\/4, 0.2, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 - 12*m - 4. Let b(i) = 3*i**2 + 11*i + 5. Let g(x) = -3*b(x) - 2*c(x). Let l(d) = -2*d**2 - 10*d - 8. Let z(k) = -3*g(k) + 2*l(k). Give z(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -3 + -6 - 16 - (-3 + 20 + -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37866733*p**3*q**5 + 185*p**3 + p**2*q + 6*p**2 + 8*p*q + q**5 - 7 wrt q.\nAnswer: -757334660*p**3*q**3 + 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, n: 2, l: 2, q: 12, x: 1}. What is prob of sequence ccln?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhdhdddd. Give prob of sequence ddhd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/52820 and -123\/2090?\nAnswer: 581020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuxujssssjtxjusjjx. What is prob of picking 1 x, 2 s, and 1 u?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 499*l - 495*l - 8116. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3) - 2\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 - 6 = 0. Let u(i) = -2*i - 6. Let f be u(z). Let k be (f - 9\/2)*-24. Solve 5*l = -2 + k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -708.\nAnswer: -283.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58768, -58490, -58026, -57376, -56540?\nAnswer: -55518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**3 - 10*q**2 - 9*q - 1. Let z(k) = -k**3 + k**2 + k + 1. Let h(d) = o(d) + 5*z(d). Let i be h(-4). Solve -t - 4*n = 10, 2*t - 2 = i*n + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**5\/20 - a**3\/6 - a**2 - 5*a. Let f be v(0). Sort 0, f, 2 in descending order.\nAnswer: 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13003, -13007, -13013, -13021, -13031, -13043, -13057?\n\"Answer: -o**2 - o - 13001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -553*r - 2978. Calculate c(-5).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81154248?\nAnswer: 2, 3, 7, 483061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5938, -5874, -5810, -5746, -5682, -5618?\nAnswer: -5554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4769 (base 11) in base 6?\nAnswer: -44530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 43 = 6*c. Let u(h) = h. Let v be u(2). Suppose -2*i = v*i - 44. What is the lowest common multiple of c and i?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Let p = 97 + -93. Let g be 1\/((-2)\/p) - 77\/(-11). Solve 0 = o - h*o + g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 592846*d**3 + 824063*d.\nAnswer: 3557076*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l**2 - 11*l + 4. Is r(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**3 - 64*c - 5*c**2 + 0*c + 3 + 57*c. Let i(w) = 8*w**3 + 6*w**2 + 8*w - 3. Give 5*i(d) + 6*u(d).\nAnswer: -2*d**3 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*m + 14, 0 = 3*j - 0*j + 9. Let p be (-9)\/(-6)*m*(-102)\/(-9). Suppose -21*x = -p*x - 144. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 404\/145 (b) 0.26 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*r + 2*t, -10*t + 14 - 34 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*p + 49. Let s(t) = t**2 - 4*t - 5. Let b be s(p). Solve r - b = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -805*i + 265*i + 273*i + 267*i - 2729*i**2 - 3872*i**2.\nAnswer: -6601*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 + 64*i**2 - 44*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6*r = 2*n - 52234, -3*r + 130596 = 5*n. List the prime factors of n.\nAnswer: 2, 3, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45740 to the nearest one thousand.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 10 + (26 - 14) - (1 + 51)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*(-3 - -2)*(-77)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (7 - 1) + -10 - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 32 - -14) + 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**3 - 3 + 3)*(-15 - 387*m + 510*m + 13 + (-1 + m + 1)*(1 + 0 - 3)) + 3*m**4 + m**4 - 2*m**4 to w*m**2 + g*m**4 + l + n*m**3 + c*m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 1. Let d = -0.1 + o. Let q be 10\/4*(-32)\/(-100). Which is the third biggest value? (a) d (b) -1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 4292.\nAnswer: -4288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38071, 76146, 114221, 152296, 190371?\nAnswer: 228446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 3, -5 in ascending order.\nAnswer: -53, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1506904 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 20 = -8*c, 5*c = -5*g - 145192 + 145222 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from naiiqisiisssnsiiaaqa. Give prob of sequence qina.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m + 24. Let s be y(0). Suppose 2*k + 70 = -3*k. Let p = s + k. Calculate the highest common factor of p and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -718, -1649, -2954, -4633?\nAnswer: -6686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1038 = 18*x + 894 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 0 + (140 - 104).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 422722519 to the power of 1\/3, to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i**2 - i - 4. Let q(g) = -g. Let t(w) = -k(w) + 6*q(w). Let o(r) = 7*r**2 + 6*r - 4. Let m be (-42)\/8 + (-14)\/8 + 2. Give m*o(z) - 6*t(z).\nAnswer: z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -843, 0.01, 0.04, 5\/8, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 128, 130?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 669 + 671 - 2006 + 663 + 1031*w to the form v*w + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1552, 3, -0.3, 0, 4 in descending order.\nAnswer: 1552, 17, 4, 3, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*n = 9455, 12*b + n + 5673 = 15*b. List the prime factors of b.\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ddbdpdppppbpd?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 6 - 18 + p + 0*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/14 - (-30)\/(-7). Let m(v) = v - 8. Let d be m(8). Which is the closest to d? (a) g (b) 1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-10\/11)*m*(m**(-1\/77)\/m)\/m)**(1\/9) assuming m is positive.\nAnswer: m**(-71\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8219 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77112 and 6923?\nAnswer: 76263768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 57 = 9. Suppose 0*b = 2*b + 16. Is b <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*q + 7*p + 40 = 243*q, -5*q = 4*p + 25 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 8*v + 12. Let u be m(-9). Let w = -4 + -2. Let r = w - -11. Which is the second biggest value? (a) u (b) r (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -40*g + 7. Let k(b) = 29*b - 5. Let q(r) = -7*k(r) - 5*w(r). Let h(j) be the second derivative of -23*j**3\/3 - 9*j. What is h(q(d))?\nAnswer: 138*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20689, -41426, -62211, -83044, -103925, -124854?\nAnswer: -145831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127648 and 1085008?\nAnswer: 2170016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) 3 (b) 3\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2. Suppose 4*y = l + 9, 1 = -3*l + 2*l. Let o(f) = -67*f**2 + 222*f**2 - 68*f**y - 70*f**2. Give k(o(v)).\nAnswer: -1156*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a61 (base 13) to base 7.\nAnswer: -163555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -233*g**2 - 12*g + 11. Give u(1).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + r - 138 = -669, 5*r = 3*a - 394. Suppose 2*t = -a + 1215. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -64*s + 68*s**3 + 27*s**2 + 55 + 19 - 67*s**3 - 25. What are the prime factors of f(-28)?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-70)\/(-5)))\/(2\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 185314530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.179, 5\/4, 1\/2, -0.2, -35\/6, -4, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-247)\/(-117)*(-117)\/13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (12 + -18 - -32)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -13*f - 5. Let a(m) = -4*m**2 - 6*m - 4. Let g be a(-2). Let b be v(g). Let x = b + -9. Is x a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -535 - -553. Solve -p = -3*j - 5*c, -j - 2*c = j - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - k - 3, 3*h + 6*k - k = 3. Let r be h + -5 + 3 - 33. Let s = -31 - r. Calculate the remainder when 6 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89759?\nAnswer: 89759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-2))\/(48\/(-6) + 3). Suppose w = -175*m + 168*m + 56. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257097 is divided by 128545?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 24*h = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/6736 and 85\/48?\nAnswer: 20208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-18)\/4))\/(-54*112\/(-13608))*39?\nAnswer: 117\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/819 and 14\/27?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:29 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 4655.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 159, 5, -3, -2, 15.\nAnswer: -3, -2, -1, 5, 15, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/2*-4)\/(84\/(-42))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16722 - 16685.026. Let b = -37 + r. Let j = b + 0.026000156. Round j to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069073 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-11 - -15 - 21)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 53 = v - 4*v, 0 = -4*v + 20. Suppose 4*c - w = 4, 3*w = -c + f - 5. Let -12 + 21*t - 6 - 5*t**3 + c*t**3 = 0. Calculate t.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/9)*z\/z**(-1\/14)*(z**(2\/9))**(-29) assuming z is positive.\nAnswer: z**(-235\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 10*f - 10795. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 smaller than 162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -15*x - 48. Let u be z(-7). Let k(d) = u*d + 2 - 32*d - 27*d. Let q(v) = v - 1. What is -4*k(f) - 6*q(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.39, -3, -0.5 in decreasing order.\nAnswer: -0.39, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a second in milliseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13807.59052 + 0.5.\nAnswer: 13808.09052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 15*m - 18. Let v be n(5). Let p be v\/(-51) - -4 - 3. Let k = -34 - -31. Which is the nearest to -1? (a) -0.4 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35, 26, 13, -4, -25, -50, -79?\n\"Answer: -2*d**2 - 3*d + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000120202021 - 212?\nAnswer: -1000120210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3242412360644245 + 3242412264136382.48999731. Let t = -96507867 - i. Let j = t - -4.49. Round j to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z - 6. Let f be 99\/21 + (-2)\/(-7). What is the units digit of a(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 4*a**2 + 86*a - 397. Let b be k(5). Suppose 0 = w - 2*v + 2, 5*w - 3*v = 25. Calculate the highest common factor of b and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 1159, 3, 10, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.4 - 11. Let o = x + -1.8. What is o rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8 + 3*x + 2 - 9. Suppose 60 = -3*f + 7*f. Let t(q) = 1. Give f*t(u) + y(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 69*k**2 - 34*k + 9. Give x(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t = 27*t + 25. Let w be (-2)\/3*2 + 34\/(-51). Put t, -4, -12, w in ascending order.\nAnswer: -12, t, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + (-2 - -21) + (-6 - 2)\/2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 6007971834430*u**3 + 6007971834428*u**3 - 17 + 5.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22499472?\nAnswer: 2, 3, 468739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*26 + 319 + -292 - (-19)\/(-9).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162644 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67, 205, 411, 685, 1027?\n\"Answer: 34*x**2 + 36*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(343))*-5 + 3 + 0 + sqrt(343) + 0 + 5 + sqrt(343)*2)**2.\nAnswer: -364*sqrt(7) + 1541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 - (12 + -22)) + -7. Solve 0 = -44*y + 33*y - x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.3 (b) -3 (c) 4\/3 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179929.\nAnswer: 23, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -4\/4065 (c) 377\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-30))\/(30\/(-100)). Let h = -9\/41 - -163\/369. Suppose d*n - 8\/9 - h*n**2 = 0. What is n?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -68*w**2 - 65. Let r(h) = -342*h**2 - 326. Let c(k) = -14*p(k) + 3*r(k). Differentiate c(n) wrt n.\nAnswer: -148*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -8cb963?\nAnswer: -8cb95d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n = -n. Suppose n = -3*h - 3*g + 79 + 41, -188 = -5*h + g. What is the remainder when h is divided by (20\/3)\/((-2)\/(-6))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2402, 4813, 7224, 9635, 12046?\n\"Answer: 2411*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from gxuvmmt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*u**3 - 176*u**3 - 2*u**2 + 2 - 2 - 22*u**3 to the form v*u**3 + q*u**2 + k*u + w and give v.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*x + 73*x + 73*x - 11*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 8:02 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 1067215742405 - 2*q - 1067215742344.\nAnswer: -2*q + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus 743.3724?\nAnswer: 743.3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -61. Let n be 51\/(-15) - l\/10. Let t(a) = 6*a + 5. Let q(z) = 5*z + 4. What is n*t(c) + 5*q(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 3:14 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03 and 1875.38.\nAnswer: 1875.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(125)*2*2)**2 - (5*(sqrt(125) - (sqrt(125) + -1)) - (1 + sqrt(125))*-5).\nAnswer: -25*sqrt(5) + 31990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-810)\/2430 - (40\/78 + -1) - 2307\/39.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 81548*u - 326256.\nAnswer: 4*(u - 4)*(u + 20391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -570 and 2705.\nAnswer: -1541850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 17 + (2 - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8291357216189\/58230 + -142389792. Let w = y + -3\/3235. Let f = 26459\/16 - 6595\/4. Find the common denominator of w and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/69 - 62\/1311. Let y = -0.3 - 0.7. What is the third smallest value in 5, y, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 636 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -25758338.526.\nAnswer: 25758338.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.76 - 0.74. Let d = 18 + l. Let n be 12 - (-2 + (-8)\/(-4)). Which is the second smallest value? (a) -2 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-3))\/(2\/3). Let n(i) = 1 + 5*i - 3 + 4 + i**2. Calculate the remainder when n(d) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.096 in -3.8, -10, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 112506212?\nAnswer: 1\/56253106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2415440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/11? (a) -0.5 (b) -2 (c) 0.85 (d) -1\/32 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -12. Let k(a) = 1. Let f(t) = 5 + 0*t - 3 - 1 - t. Determine q*f(j) + k(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z + 97. Let j be a(-14). Which is bigger: 4\/195 or j?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 3*y - h - 7, -5*y + 19 = -h. Let d be y\/14 - 10\/(-14). Does 15 divide -1*(d + 59)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 401438 + -17089. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/((0 - 4) + 6)*(-4)\/(-12). Let x(j) = 5*j**3 - j**2 + 4*j - 4. Let k(c) = c**3 + c - 1. What is d*x(z) - 4*k(z)?\nAnswer: z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*x - 114642 = -255*x - 14*x. Is x < 158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 2\/65*j**5 - 5\/13*j**2 + 1\/26*j**4 - 6 - 2\/13*j**3 - 4\/13*j. Solve l(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42577 is divided by 649.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5))**(-3)\/(u*(u\/(u*u**(2\/3)))\/u*u*u**(2\/11)))**(5\/8) assuming u is positive.\nAnswer: u**(-283\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 equal to 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**6\/360 + p**5\/12 - 13*p**4\/24 + 9*p**3 - p - 6. Let h(w) be the second derivative of n(w). What is h(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2108 - -2107.999997691. What is z rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**4\/4 + 2*m**3 + 6*m**2 - 38*m + 861. Give c(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.209 - 0.009. Let w = 19.2 - d. Which is the nearest to 0.1? (a) w (b) 3 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*x - 95*x - 87*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79458 is divided by 439?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 l when four letters picked without replacement from llhkktkkklq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gggbbbgggbgbbbggggg?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*a = 6, -2*p + 3*p + 5*a - 29 = 0. Calculate the smallest common multiple of p and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 1, 25, 61, 109?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -3, -28, -87, -192, -355?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -589552 - -936279. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6241 times 0.19937?\nAnswer: -1244.26817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 12*g - 14. Let l(v) be the third derivative of v**5\/60 - v**4\/6 - 5*v**3\/6 - 3*v**2. Let r(s) = 3*f(s) - 8*l(s). Is r(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675376997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**5\/5 + 12*t**4 + 46*t**3\/3 - 24*t**2 - 47*t - 2556. What is p in u(p) = 0?\nAnswer: -47, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4754400 divided by 49525?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-33)\/x)\/x**(-2\/7)*x**(-18\/7)*(x*((x*x**33*x*x)\/x*x)\/x)\/x)**14 assuming x is positive.\nAnswer: x**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**4 - q**2 - 1. Let t(a) = -25*a**4 - a**2 + 13*a + 2. Suppose 7 = 24*s - 17*s. Let l(c) = s*d(c) - t(c). Find the second derivative of l(b) wrt b.\nAnswer: 312*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9809 divided by -7?\nAnswer: -9809\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.18495l to millilitres.\nAnswer: 60184.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + -5. Let q = r - -21. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a - 86. Calculate the remainder when p(18) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5981 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (17 - -7) + (-1 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3.1 (b) 0.01 (c) 2\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*h + 1, -k = -5*k - 3*h + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25146 + 4682 = 2558*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 27820 (base 9) to base 6\nAnswer: 223243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0666156 + 0.5640688. Let c = 3.4025458 + l. Let m = -3.9 + c. What is m rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 2387616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 22*p - 12. Let n be t(-5). Suppose -n = -5*r + 152. Calculate the highest common divisor of 50 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2. Let p(q) = 36*q - 4. Let t(i) = -2*g(i) + p(i). Let b(m) = -m**3 - 3*m**2 - m - 1. Let r be b(-3). Is t(r) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2317759*p**4 + 6*p + 279457?\nAnswer: -27813108*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m - 20. Let g be d(-6). Suppose 0 = 4*k - 5*z + 48, 0 = 2*k - z + 38 - 8. Sort g, -4, k in descending order.\nAnswer: g, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030523988 minus -12?\nAnswer: 1030524000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113 + 1312*w - 1645*w - 1101 - 952*w with respect to w.\nAnswer: -1285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/21 and ((-4)\/(-18))\/((-15)\/(-285)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a69 (base 11) to base 15.\nAnswer: -7142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 90 (b) 0.2413 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -74\/7 (b) 2\/7 (c) 3 (d) 0 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7.359 times 829\nAnswer: -6100.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 202900051.5182782 + -17.5182782. Let u = 202899995.0000028 - t. Let n = u + 39. What is n rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, -54, -140, -260?\n\"Answer: -17*p**2 - p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73928 - 5*k**3 - 73927 + 147855.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8014486, 16028966, 24043428, 32057866, 40072274, 48086646?\n\"Answer: -s**3 - 3*s**2 + 8014496*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nle when three letters picked without replacement from {l: 2, m: 2, s: 6, e: 3, n: 3}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*o - 9736 + 121732, 3*k - 84012 = -3*o. What is o rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1764 + 759 = 0. Let l = p + 533. What is the common denominator of 1926\/l + 2\/11 and 109\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3*h - 10 = 0, 429866*o - 429862*o + 2*h + 10 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -229793404*o + 853166180 wrt o?\nAnswer: -229793404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*n = 10, 0 = -f - 2*n + 5 + 3. Let k(h) = h**2 - 5*h + 2. Let x be k(4). Sort f, -3, 3\/8, x in increasing order.\nAnswer: -3, x, 3\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 7*u**3\/3 - 13. Let l(r) = 2*r. Give l(s(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 5*d + 8 = 0. Suppose -d*n = -n + 315. List the prime factors of ((-8)\/(-10))\/((-6)\/n).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*f = -19, 0 = -5*m - 5*f + 22 + 13. Suppose 10*v - m*v = 13300000. What is v rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 12*j + 13. Let m be y(14). Calculate the highest common factor of 41 and m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 s when four letters picked without replacement from vsmmmmmvmsssmmvvm?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 2\/9, 4, 38, -1136, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 224 = 4*f + 3*q, 0 = -f - 3*q + 43. Let r(p) = p + 2. Let u be r(3). What is the greatest common factor of f and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0*m**11)**(2\/23))**1 assuming m is positive.\nAnswer: m**(22\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -460 + 1525052?\nAnswer: 1524372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*q - 15, -2*q = q - 6. Suppose 12 = y + d*y. What is the second derivative of -a + 0*a + 0*a - y*a**3 wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-6)\/32*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281442912?\nAnswer: 2, 3, 29, 43, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.4 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1317298*j**2 - 1564342*j wrt j.\nAnswer: 2634596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 - 178\/(-14). Let f = 18 - z. Suppose b + 3*c - 12 = -2, -f*c + 4 = b. What is the remainder when 56 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/35 - -16\/35. Which is the nearest to 0.1? (a) f (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6716 and 25185.\nAnswer: 100740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*d - 4*d + 0*d)*(0 + 3 - 5) - 4*d + 0*d + 8*d)*((4*d - 2*d**2 - 4*d)*(-2*d + 2*d - 2*d) + 32*d**3 - 3*d**3 + 24*d**3).\nAnswer: 342*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-8)*(42\/(-56) - (-284)\/80)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6814, 5363, 2898, -587, -5098, -10641, -17222?\n\"Answer: -j**3 - 501*j**2 + 59*j + 7257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*v = 147*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2068387887014\/2799 + 738973898. Let z = 4\/2799 + r. Let w = 803\/18 - z. What is the common denominator of w and 93\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.805+5\nAnswer: 5.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b**3*u**4 + 2*b**3 - 3900764*b*u**2 - 26361*u**4 wrt u?\nAnswer: -192*b**3*u - 632664*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.4 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -372a9 + 16981?\nAnswer: -20428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i + 32. Give f(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 335313 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1951056.\nAnswer: 2, 3, 17, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = r + f, 5*r - 229 = -f - 0*f. Suppose 2*z + z - r = 0. Let u be 165\/4 - z\/(-20). What is the highest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201.96 litres in millilitres?\nAnswer: 2201960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 3*z**3 - z + 4*z**3 + (3 - 1 - 1)*(-z**3 + 4*z**3 - z**3).\nAnswer: 9*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 16*y**2 + y + 6. Suppose 0 = 5*f - 5, 5*v - 32 = 3*f + 10. Suppose 5*m + t = m - v, 0 = 4*m + 2*t + 10. What is the tens digit of z(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.2 take away -23697134824.97?\nAnswer: 23697134811.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - 48694?\nAnswer: -48677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, e: 5, n: 2}. What is prob of sequence fene?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**6\/r)\/r))\/(r\/(r\/(r*r*(r\/(r**(1\/15)\/r))\/r)))*(((((((r\/(r\/(r\/r**28)))\/r)\/r)\/r)\/r*r)\/r)\/r*r)**(-4\/3) assuming r is positive.\nAnswer: r**(177\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - w = -11, 2*q + 0 = w + 7. Differentiate -3*s**3 - 2 - 4 + q + 1 with respect to s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 3:49 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**5 + 4*j**5 + 2*j**5 + (-2*j**4 + 22*j**4 + 13*j**3 - 8*j**3)*(6*j + 0*j + 3*j).\nAnswer: 183*j**5 + 45*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7379539 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/4 - 15\/7. Sort c, 2\/25, -5.\nAnswer: -5, c, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 9. Let u be n(7). Suppose u*f + 3 = 5*f. Suppose 0 = -r + x + f, -4*r = 4*x + 6 - 42. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261767 to the power of 1\/2, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 6:03 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2.8, 0, -0.4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 195267 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f - 29 + 64 + 8*f. Let i be s(-14). Suppose h + 2*n - i = -2*n, -3*h - 3*n = -12. What is the nearest to h in 3\/8, 0, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9d8473 (base 15) in base 12?\nAnswer: 2628190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - 2\/5. Suppose 36 - 8 = 14*z. Suppose c = l - z*l - 2. Sort -3, l, 5, 0 in descending order.\nAnswer: 5, 0, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27870 = 659*q + 11670 for q.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1214453 (base 7) to base 13\nAnswer: 5589b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15110933143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.809158 rounded to 2 dps?\nAnswer: 63.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -841*i + 144. List the prime factors of z(-8).\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**5 - 6*m**5 + 5*m**5 + (-3*m**3 + 4*m**3 + 0*m**3)*(-m**2 + 4*m**2 - 2*m**2) + 36*m**4 + 23*m**5 - 36*m**4.\nAnswer: 18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 557\/7 + -79. Let i = 27 + -24. Suppose 0 = -i*w + 2*x + x - 12, -8 = 5*w - 2*x. Is w at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g + 6. Which is smaller: -6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 2 + 2*f**3 - 2*f**2 + (11*f - 5*f + 2*f)*(-4 + 2*f**2 + 4) - f**3 + 0*f**3 + 2*f**3 to s*f**2 + j + o*f**3 + n*f and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/2 - 1043281*d\/2 = 0.\nAnswer: 0, 1043281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3630, -2\/2117, 1 in ascending order.\nAnswer: -3630, -2\/2117, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3 + 11*t**2 - 11*t - 2*t**3 + t - 1 + 11. Let a be b(7). Round a to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1395.56 - -201.46. Let d = k - -1188.161. Let r = d + 5.9. What is r rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 41*h**2 + 81*h - 95. Let l be i(39). Let s = -2 - -27. Let o = l - s. Let v(f) = -f**2 - 5*f. What is v(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44848 and 11909947.\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 103, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11451014 to the power of 1\/2, to the nearest integer?\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3097*u - 520239. Calculate i(168).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/4))**39\/(c**(1\/3)*c**(-20)) assuming c is positive.\nAnswer: c**(-115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17214185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-7))\/1*(-3)\/150*-25\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78214.\nAnswer: 2, 39107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 6, 5*n - 6*z - 16 = -7*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.138 - -13.137977092. Round t to seven dps.\nAnswer: -0.0000229","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490997.97 microseconds in days?\nAnswer: 0.000005682846875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23031 + 23000 - (1 + -1 + 0 + 2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, y: 1, k: 2, g: 2}. Give prob of sequence gugy.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 18*u + 21. Let j be f(-1). Solve -g = -q - 4, 5*g = j*q + g + 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -121 - -85. Suppose 0*i - 4*i - 200 = 0. Let t = d - i. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - y - 19 = 0, -j - 5*y = 16 + 1. Suppose 2*s - j*s = -1. Let x = -2 - -2. Which is the second biggest value? (a) x (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.7, -3, -316?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 21 = 91. Suppose -m - i = -6*m + 5*s, m = -2*s + 13. Solve b + 5*g = -27, -2*g - 1 = m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -62, -0.55, -0.5 in decreasing order.\nAnswer: -0.5, -0.55, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001349273998 to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3637 + 2755 - 5702 = 1426*j + 220*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**3*i**4 - 50*h**3*i**2 - 2*h**2*i + 5*h*i**3 + 2*h*i**2 wrt i.\nAnswer: 96*h**3*i + 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -11. Suppose -6*o = -2*o - 64. Let y be 4\/3*s\/o. Which is the smallest value? (a) y (b) 2\/15 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33512 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 10b4488?\nAnswer: 10b448a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltw when three letters picked without replacement from {t: 11, l: 8, w: 1}?\nAnswer: 11\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**2 + 8449*m + 75447. Determine s(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -703? (a) 3\/5 (b) -1.3 (c) -2\/15 (d) 1 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1519 + -1139?\nAnswer: -2658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 987 and 42.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 2*w + 6. Let z be u(3). Let l be 2\/6 + 210\/z + 1. Calculate the highest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 240 + -236. Solve z*g = 5*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrddkdtuikiiru. Give prob of sequence ikr.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1216, 5364, 12294, 22018, 34548, 49896, 68074, 89094?\nAnswer: 112968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/(-63))\/(-11) + 1\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -351.8 and -999.\nAnswer: 351448.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1283 - -1283.000609. Round x to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 475.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4\/8 + 87351*q**3\/4.\nAnswer: -3*q**3*(q - 58234)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/12*(-12)\/10. What is the remainder when 41 is divided by ((-14)\/s)\/((-5)\/30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 20*y**2 - 39*y - 52. Let c be j(-18). Let n(f) be the second derivative of -5*f + 0*f**c + 1\/4*f**4 + 0 + 3\/20*f**5 + 0*f**3. Factor n(z).\nAnswer: 3*z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 45*o + 489. Is r(64) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 6:59 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -883, -877, -847, -787, -691, -553, -367?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101003320331 (base 4) in base 3?\nAnswer: 22102012221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6500 and -29\/212?\nAnswer: 344500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -3371 + 595. Suppose 9*c - 5746 = x. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 174 in descending order.\nAnswer: 174, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (0 + -11 + 22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 8:44 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*k - 2*d - 12, -5*k + 22 = -d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22.3 * -0.750163\nAnswer: -16.7286349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15967563?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -67, 52, 357, 908?\nAnswer: 1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from qcwzi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = -5*z, 17 = 4*p + 5. Let v be 1\/z*15\/3. Suppose -5*b + 5 = -v. Solve -3*f - 3*k = -b*f - 1, 5*f - 3*k = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, b: 1, h: 2, i: 2}. What is prob of picking 1 i and 1 h?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) -0.5 (c) -4 (d) 631\/17 (e) 214\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -543 + 576. What is the smallest common multiple of b and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2225)\/1780)\/(10\/4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, d: 1, p: 2}. What is prob of picking 1 d, 2 p, and 1 w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584)*3 + sqrt(539) + 1 + (-1*sqrt(99) + -1 - (sqrt(99) + sqrt(99)*-1 + sqrt(99))**2*6).\nAnswer: -594 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-10))\/(15\/(59 - -16)). Solve 7*r + x - 18 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z**(-2\/5)*(z*z**(-2\/3)\/z*z)\/(z*z\/(z**(1\/3)\/z)*z*z*z))\/((z**(1\/3))**(-3)*z\/z**(-7\/5)*z**(-1\/7)) assuming z is positive.\nAnswer: z**(-104\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10419*j**3*u**2 + 4*j**3*u - 43*j**3 - 10*j**2*u - 14*j**2 + 2*u**2 wrt u.\nAnswer: -20838*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-11))\/((-66)\/242)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -120021211?\nAnswer: -120021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 812 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2 - 4*w - 4 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 13*s**2 + 1 - 3*s + 12*s**2)*(-10*s**2 - 63*s**2 + 16*s**2).\nAnswer: 57*s**4 + 171*s**3 - 57*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15925\/210)\/91)\/((3\/(-21))\/((-12)\/7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*w = 35, -6*w = 3*r - 4*w - 21. Calculate the remainder when 12 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12896 and 426684.\nAnswer: 44375136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 465\/4544 or 1?\nAnswer: 465\/4544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 101\/405?\nAnswer: 101\/405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 + -8.4. Let h = 7.76 - 0.66. Let l = h + w. Which is the nearest to l? (a) 1\/4 (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + v + 10*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 351225 and 245.\nAnswer: 2458575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 40 = 2*a. Let u be 39\/12 - (-2)\/a. Suppose 2*s - u*s - 5 = 0, 5*m + 2175 = -5*s. What is m rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*j + 359*j + 257*j - 30744 = -6444 for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (23 + 1)*(42\/9 - 4). Suppose 2 - k = -t - 5*u, -2 = u. Calculate the least common multiple of t and 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/129 and 77\/72634.\nAnswer: 9369786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 103?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143428 is divided by 154?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1441 + -3?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -23*v. Let x be 8\/40 - 24\/(-5). Let a(b) = 2*b - 5*b - x*b + 0*b. Let q(o) = -17*a(o) + 6*m(o). Let t(l) = -l**2. Calculate t(q(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/14)\/((-2)\/(-4)) - (13 - 579). Is 563 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 11*m**5\/30 - m**3\/6 + 3*m**2. Let j be r(1). Calculate the greatest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3453.082 + -3456. Let n = g - -3.38. Round n to 2 dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*h + 7*h + 188, -4*z - 5*h - 782 = 0. Let s be 2\/7 + z\/(-42). Suppose -4*o = -s*o + 16. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 79.3103822513 and 0.17.\nAnswer: 79.4803822513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3888*c**3 + 11623608*c**2 - 8693325795*c + 8681706075 = 0.\nAnswer: 1, 53795\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 9*i + 24. Give n(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4148491, 8296980, 12445469?\nAnswer: 16593958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 4. Let x(h) = h - 1. Let g(w) = -3*x(w) - z(w). Let j(s) = 2*s - 1. Let i(b) = 3*g(b) - 2*j(b). Find the first derivative of i(t) wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1158, 1157, 1156, 1155, 1154, 1153?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 f, and 1 x when three letters picked without replacement from {f: 3, x: 2, i: 1, p: 3, t: 5, r: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 33*c - 2754. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-2))\/(4\/400). Suppose 2*g - 4*n - u = -2*n, g + 4*n - 55 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3\/5 + 11436*i**2\/5 - 4368207*i + 21829598\/5 = 0. Calculate i.\nAnswer: -13103, 1, 1666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p - 8. Let h(n) = n - 1. Let c(y) = -51*h(y) + 6*v(y). Suppose -6*z = -z. Suppose 2 + z = -j. Calculate c(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 77 = 4*a - a, b - 3*a = 43. Let x = -31 + b. Determine m, given that -2*m**4 + 5*m**4 - 6*m - 4*m**3 + 0*m**4 - x*m**2 + 10*m**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4495656?\nAnswer: 2, 3, 11, 17029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 43 = 5*q, 4*v - 5 = q - 1. Suppose -m - q*m = -45. Calculate the remainder when 7 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (-26 + 46 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 - 312*o**3 - 2667*o**2 - 2352*o.\nAnswer: 3*o*(o - 112)*(o + 1)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 15*p - 2. Let m be l(16). Let k be ((-24)\/m)\/(2\/6). Suppose 3*z - 2 = 2*r, -22 = -4*z - 14. Solve r*d - 2 = k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**25*i*(i*i*i**(2\/15)\/i*i)\/i*i*i**23*i**(-1\/18))**(-2\/9) assuming i is positive.\nAnswer: i**(-4597\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2, 31\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 178016 = -3*u - 4*m, 2*m = -2*u + 177992. What is u rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*w = 2, 4*f + 4*w - 3 = 5. Solve 8*g + f*g = 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/((-60)\/1170). Solve 12 = j*m - 10*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -7)\/(3\/2397). Let k = s + -87811\/22. Find the common denominator of -107\/6 and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let z(f) = -5*f**2 + 240. What is v(z(a))?\nAnswer: 5*a**2 - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001133289 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 - 66*t + 13*t + 26*t - 7*t**2 + 26*t + 2*t**4 + 1 + 13*t**3 to c*t**3 + q*t + w*t**2 + h*t**4 + s and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -250*f**2 + f. Let g(j) = 249*j**2 - j. What is 4*g(q) + 3*i(q)?\nAnswer: 246*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 45585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 3*d**2 + 4*d - 7. Let u be h(5). Let g = u - 18. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*-8*(-3)\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 321007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s = -16*s + 80 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131045770, -262091539, -393137308, -524183077, -655228846?\nAnswer: -786274615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 - r - 20. Let t be j(-5). What is the greatest common factor of 34 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 - 23?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s**3 - 70*s**2 + 42*s**2 - 66719 + 2*s + 66719 to the form f + c*s**2 + g*s**3 + d*s and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30\/7*w**2 + 3\/7*w**5 - 18\/7*w**4 + 36\/7*w**3 + 0 + 9\/7*w.\nAnswer: 3*w*(w - 3)*(w - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 8:07 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 25, -1.\nAnswer: -1, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 1. Let f be h(3). Let o be (-2)\/f + 52\/20. Which is the smallest value? (a) -0.4 (b) -3\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 1. Let r be q(3). Let t(g) = -3*g - 1. Let h(d) = -3*d. Let p(n) = 3*h(n) - 2*t(n). Is p(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, e: 1, a: 5, l: 1}. What is prob of picking 1 m, 1 l, 1 a, and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -233 in -3, -1\/6, 0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -1\/36*s**5 + 0 - 1\/90*s**6 + 2*s**2 - 1\/630*s**7 + 0*s**3 + 0*s - 1\/36*s**4. Factor h(j).\nAnswer: -j*(j + 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 21620?\nAnswer: 194580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20014 to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = i + f, -93*i - 2*f = -275 + 99 - 459 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -14664 - 3728. Is 38 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6739006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/15)\/a**(1\/4) assuming a is positive.\nAnswer: a**(-31\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3\/11 - 2252*d**2\/11 - 633938*d\/11 = 0.\nAnswer: -563, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 17 - 8) + 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/11)*q*q)\/(q*q\/q**(2\/7))*(q**(-2\/11))**(1\/44) assuming q is positive.\nAnswer: q**(1093\/1694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -15 + 9*k**2 + 2*k + 15 - 5*k**3. Let g(t) = 22*t**3 - 4*t**2 - t + 4. Let n(c) = 5*c**3 + 1. Let p(m) = -g(m) + 4*n(m). What is -4*j(u) + 9*p(u)?\nAnswer: 2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 1, p: 2, w: 1, u: 2, l: 1}. Give prob of picking 1 t and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (134\/(-6))\/(17\/(-408))?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 296, 0.1341, -0.5 in decreasing order.\nAnswer: 296, 0.1341, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5253*z - 2872*z = 2978*z - 57312 for z.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 227605828 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9124*n**3 - 6*n**2 + 369097*n.\nAnswer: -54744*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 95*x. Let q(z) = -8*z. Give q(b(p)).\nAnswer: -16*p**2 - 760*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 15*u**5 - 43*u**3\/3 + 27*u**2\/2 - 7*u + 2262. Find the second derivative of m(s) wrt s.\nAnswer: 900*s**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/3 - (-6 + 9). Let f(s) = 2*s**2 + 18*s + 48. Let h be f(k). What is the highest common divisor of 32 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011110011111 + 110010000001?\nAnswer: -110101100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5565146 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 81360 = -81294 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8231651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.9 to the nearest integer.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(68)*2)*-6.\nAnswer: -24*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157*a**2*g**3*r + 3*a**2*g**2 - 2*a**2*r - 9*g*r - 2 wrt g.\nAnswer: -942*a**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 533, -17, 2\/17 in descending order.\nAnswer: 533, 2\/17, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.2 and -8.3.\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12696, 84452, 274346, 641448, 1244828, 2143556, 3396702?\nAnswer: 5063336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 bigger than 52457299\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 2*u - 19, 16601 = 4*d + 4*u + 16613 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 407567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4395985 and -6\/8995.\nAnswer: 30771895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*x**3 - 35*x**3 + 11*x**3 + 3*x**3 - 29*x**3 - 33*x**3 - 37*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 10:41 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 74. Give g(-21).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1300679 is divided by 433550.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1*2198\/(-28). Suppose 5*a - 1 = -3*l, -2*l + 3 = l + 3*a. Suppose b = l*o - 21. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 61.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93140263.\nAnswer: 17, 5478839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00168686 to 5 decimal places.\nAnswer: -0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) -4 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*d + 11*d + 15*d - 151*d - 272*d - 123*d)*(11*d + 2 - 2).\nAnswer: -5346*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341125 is divided by 382?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**2 + k**2 - 275*k**3 + 622*k**3 - 20*k**2 - 345*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4476\/(-16) + 3*(-3)\/36. List the prime factors of (-36)\/14*s\/30.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/(h**(-1\/26)\/h))\/h)\/h)\/(h**(-8)\/h))\/(h**4\/(h*h**(1\/4))) assuming h is positive.\nAnswer: h**(379\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 594.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -4 - -20) + -27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1037*v - 133*v + 34095 - 233811 = 788*v for v.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 8*t + 12. Let b be l(5). Let j(z) be the second derivative of -z - 1\/20*z**5 + 0 - 2*z**2 - 1\/6*z**3 - 1\/6*z**4. Give j(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1119456, 1119457, 1119458?\nAnswer: 1119459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79*r**2 - 481645*r - 219521336.\nAnswer: 158*r - 481645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7281755 and 130?\nAnswer: 14563510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 2328*m**4 + m**3 - 3*m**2 + 37*m + 4058. What is the third derivative of i(d) wrt d?\nAnswer: 55872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d**2 + d + 4. Let a(k) = 10*k**2 + 6. Calculate 2*a(y) - 3*b(y).\nAnswer: -13*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1968537 is divided by 82016?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**10\/90720 + i**8\/20160 - i**4\/6 + 2*i. Let b(t) be the third derivative of r(t). Factor b(y).\nAnswer: -y**3*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1.122.\nAnswer: -0.1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/19))**(-2\/39)*(s**(-4\/3))**47 assuming s is positive.\nAnswer: s**(-15480\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117838 and 175294?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 168*p**4 + 15*p**2 - 82*p**4 + 3 + 7 - 87*p**4 in the form t + j*p + k*p**3 + a*p**2 + b*p**4 and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/640*(-2)\/(-1)*6\/1.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/5 (b) 18 (c) -22\/5 (d) 2\/11 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 2:54 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -9. Suppose -h = 2*h - 9. Put q, -6, h in decreasing order.\nAnswer: h, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 149 + 7. Suppose 0*c + c = h. What is the remainder when c is divided by 8 + (-5)\/(10\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-4\/7))\/(o*o*o**(-10)))\/(o**7*o**(-1\/3)) assuming o is positive.\nAnswer: o**(37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -83*b**3 + 2*b**2 + b. Suppose -2*z - 2*r - 40 = -6*r, z = -r - 23. Let k = -23 - z. List the prime factors of n(k).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from {c: 3, r: 3, u: 2, a: 1, z: 2, m: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 12 - 13 - 4*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6586400269 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11200312233 (base 4) to base 8\nAnswer: 5406657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from utwauaiuaaaytuuaiu?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) - 22\/(-6). Suppose 23 = 5*i - 0*i - 2*l, -s*i - 3*l = -23. Solve i = -0*j - j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 3:23 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 - 210. Let k be (5\/(-75))\/(5\/r). Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8816 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11ac (base 13) to base 12\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (18 - (-25 - -45)) - 68\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f - 2*f)*(-20*f - 2 + 7 - 3).\nAnswer: 40*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 5*u**2 - 5*u + 11. Suppose -7*a + 3*b - 13 = -6*a, 4*a + 5*b = 33. Suppose -4*m = c + 6, 5*c + a*m + 30 = -m. Calculate h(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/24 + (-14)\/21. What is the smallest value in w, 0.2, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q, 5*k - 120 = -2*q + q. Let n = 23 - 130. Let x = 203 + n. What is the greatest common divisor of x and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1900238.\nAnswer: 5700714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 0 - 5 - 5 + 10*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**3 - 9*v**2 + 4*v + 4. Suppose 589 + 824 = -130*d + 243. Let y(x) = -10*x**3 + 19*x**2 - 9*x - 9. Determine d*u(q) - 4*y(q).\nAnswer: -5*q**3 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/72 + (-4)\/(-18). Let n be (-3)\/(g\/(6\/(-9))). Suppose -j + 5*j = 8. Is n > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 = -2*j, 2*m - 5*j = 14 + 15. Solve 0 = -4*y - x - 6, -m*y = 4*x - 2*x + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 5*f + 867 - 877, 20*x - 2*f = -108 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 95?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:19 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 22. Let h be 5 + (-9 - -2) - (-5 + -2). Solve -t = t + 5*m + g, -24 = h*t + 3*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -140, -1\/6, 2, -3, 0.4, 0.2.\nAnswer: -140, -3, -1\/6, 0.2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.055 and 0.03.\nAnswer: 0.00165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/24 and 105\/232.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*j - 14, 2*w - 5*j + 26 = 4*w. Suppose -42 = -w*i + 30. Is 33 a factor of 135\/3*i\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 + 123. Let p be (-4)\/(-6) + ((-3)\/(-3))\/(-3). What is the closest to v in -7, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 8.43?\nAnswer: -0.4215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4515 + 4594. Solve 2*o - 83 = -q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*n + 59890 = 1532*n for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -131565 (c) -0.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 5:47 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -416011 divided by 4\nAnswer: -416011\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - 2. Calculate d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qssqqsg. Give prob of sequence qqg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2061 - 5052 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 1\/2*i**3 + 0 - 2*i + 0*i**2. Let w(h) be the first derivative of -h**2 - 1. Determine w(u(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-4) - 2)*4\/2. Suppose -d + 2*a = 9, -2*d + 2 = -a + 11. Put -0.05, d, c, 5 in decreasing order.\nAnswer: 5, c, -0.05, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104400 divided by -34800\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.90524 + -20380.39.\nAnswer: -20372.48476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 150.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -28 (c) 2\/3 (d) 0.3 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2127360 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 57. What is the remainder when c is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -3403.\nAnswer: -7\/3403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 66. Determine f(-21).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(9 + -2 - 15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*v, w - v = -2*v + 1. Let t(z) = 12*z**2 + z + 4. Let j be t(w). Let a = j + 158. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t. Let o(v) = 11*v**2. What is o(j(b))?\nAnswer: 176*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, -3, -3.97, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1735385.\nAnswer: 347077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 10. Let n(w) = -10*w**3 - 3*w**2 - 17*w - 60. What is -n(z) - 6*v(z)?\nAnswer: 10*z**3 - 3*z**2 + 17*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8722 by 623.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*i - 167333 + 21437, -72948 = 2*v - 5*i. Let m = 124474 + v. What is m rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010011110110110111 (base 2) in base 6?\nAnswer: 30333235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (7 + -1 - (-2 - -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-15) - -5 - 49\/21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -16*f - 9. Let k(g) = 5*g + 3. Let o(u) = -7*k(u) - 2*v(u). Let s(r) = r**3 + 7*r**2 + 7*r + 2. Let h be s(-6). Does 5 divide o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 9247 = -2*x, -4*v - x + 3268 + 4129 = 0. Calculate the greatest common factor of v and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 159 - 158. Let f(o) = 2*o**3 + 2. Let p(r) = r**3 + 1. Calculate q*f(g) - 4*p(g).\nAnswer: -2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let x be a(-6). Let y be x\/(-27) - 904\/(-18). What is the greatest common divisor of 30 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 65 = 4*k, -k + 35 = 4*r + 4*k. Let i(v) = 2*v**2 + 3*v + 4. Let q be i(-2). Let l be q\/r*15\/(-6). Let w(z) = -13*z + 1. What is w(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179 - -15389\nAnswer: 15210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10947707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*k - 109926106 = 68587768. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -2. Let n be (4 - 2)*(-3 - o). Let v(a) = 76*a + 9496. Let k be v(-125). Sort 2, n, k, -1 in descending order.\nAnswer: 2, -1, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 1. Let s be v(4). Suppose -99 = -4*b + 3*f, 0*b - s*f = -4*b + 101. Let m = -15 + b. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 309024 and 927072.\nAnswer: 927072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17557 times -1.8\nAnswer: -31602.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 140, 138, 136, 134?\n\"Answer: -2*j + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b + 49. Calculate n(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185251593.\nAnswer: 3, 61750531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.87518 * -0.041.\nAnswer: 0.11788238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 - 66 - 30*q to the form j*q + s and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52203484 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = 25*y + 56 - 429 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*-21*(-54)\/(-2772).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 5*r**3\/3 - 11*r**2 - 14*r - 85. Let g be t(5). Which is the closest to g? (a) -0.8 (b) 2 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 at most as big as -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5 + 1478*v**4 + 10387*v**3 + 11896*v**2 - 23760*v = 0.\nAnswer: -4, 0, 1, 1485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 497\/(-7)*((-12)\/(-26) + (-2052)\/1404)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**3 + 40*m**2 - 121*m. Determine s(4).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2672814074 to the nearest integer?\nAnswer: 51699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 57036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*x - 592 - 329 + 195 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 19*l + 12 + 220*l)*(11 - 3*l - 11).\nAnswer: -603*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 + 5*s**2 + 3*s**2 + (5*s - 3*s - 4*s)*(-4*s + 4 - 4) - s**2 + 23 - 23 + 2*s**2 - 3*s**2 - s**2 to v*s + w + b*s**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1750*x = -1043*x + 2046*x - 214734 for x.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 463 + 199 = 0. Suppose s = 6*b - 60. Solve -c = 3*i + 17, -3*i + 8*i + b = 2*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*(m\/(m*m*m\/m**6))\/m)\/(m\/(m\/(m*m**(2\/9)))))**(-2\/15))**(3\/11))**(-13) assuming m is positive.\nAnswer: m**(130\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 6 + 210\/2. What is the greatest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 - 8066900156.\nAnswer: -8066900157.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 962*d**5 + d**2 - 113*d wrt d.\nAnswer: 57720*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -54103296 + 218803296. Round a to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002968451 to 5 dps.\nAnswer: 0.00297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 10 - 57*l + 28 as v + c*l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -90*r**2 - r**3 - 3*r - 93*r**2 - 37 + 164*r**2. Calculate the lowest common multiple of s(-19) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -14. Suppose -53 = -5*l + 3*c, -5*c + 1 = 2*l - 14. Solve l = -5*v, m*w = -4*v + 2*v + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 + -11)\/24*(-1 + 5\/10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and -3990894203.\nAnswer: -3990894203.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 - 69 - ((-10 - -44) + -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.087 - 71970.\nAnswer: -71970.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14384*o + 14382*o - 3*k - 4, -o + 9 = -4*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 4*p + 14. Let r be c(6). Let b = 28 - r. Suppose -3*f + b*a + 142 = -f, 5*f - 347 = -3*a. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3895019 plus 0.1?\nAnswer: 3895019.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (69\/(-4600)*-20)\/((-2)\/(-5)). What is the nearest to 0.1 in -6, 2, k, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.238 - -0.762. What is the third biggest value in -4, l, 75?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -12258?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144*2.426.\nAnswer: 349.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -31 (b) 0.3 (c) -2\/5 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 2) to base 13\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 766214 (base 14) to base 4\nAnswer: 33103201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62816 is divided by 6236.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5450 = 3*t, 4*x = -2*t - 2919 - 715. Let w = t + 4096. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1 - -0.1. Let h = 49\/3 - 17. Which is the third smallest value? (a) h (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 3 - (101 - 107)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-3)\/1) + 0\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3479538 times -0.1\nAnswer: 347953.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5310, 5399, 5488?\n\"Answer: 89*n + 5221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t + 7. Let q(f) = -23*f - 27. Let j(a) = -6*q(a) - 22*w(a). Let i be j(-6). Let v = -3 - i. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -4. Let g(v) = -v. Let r be g(k). Calculate the greatest common divisor of r and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Suppose 2*a = -0 + 4. Let o(w) = -3*w - 5. Let b(s) be the second derivative of s**3\/6 + s**2 - 2*s. Let x(i) = a*o(i) + 5*b(i). Give u(x(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**6\/72 - 7*f**5\/60 - 19*f**4\/72 - f**3\/6 - 169*f**2. Determine k so that z(k) = 0.\nAnswer: -3, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 826, 4\/3, 0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 71570724 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -131 - 43. Suppose 5*f = -2*i + l, 2 = -f - 2*i + 5*i. Solve f = 5*t - 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**2 - 40*m - 455. Let a(l) = -3*l**2 + 20*l + 227. Let p(x) = 5*a(x) + 2*w(x). Let p(s) = 0. Calculate s.\nAnswer: -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 957, 2985, 6893, 13305, 22845, 36137?\nAnswer: 53805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77170.41 micrometers in nanometers?\nAnswer: 77170410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4614550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + 112. Suppose 4*o - c - 218 = 139, 5*o + 4*c - 420 = 0. What is the greatest common divisor of d and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1390*m**3 - 670*m + 373*m**3 + 670*m.\nAnswer: 1763*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 58 = -5*f + 2*a, 5*f = 3*a + 56. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10260505 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -16*c**3 + 21*c**2 - 9*c + 1. Let x = 6 + -5. Let u(f) = -f**2. Let g(j) = x*b(j) - 3*u(j). Solve g(t) = 0 for t.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1149 and 0.5.\nAnswer: -574.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v - 1. Suppose 5*d - 2*d - 25 = -f, -4*d + 4*f = -44. Let c(n) = 9 - 2*n - 24 + 4*n. Let z be c(d). Let p(h) = -7*h + 2. What is z*p(y) + 4*i(y)?\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 19 = 2*x. Suppose -v - 12 = -6. Let c be 3 + 21*v\/x. Which is greater: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 298*a**2. Let y(q) = q. Calculate f(y(u)).\nAnswer: 298*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 2*n + 19, 2*a - 4*n - 2 = -0*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8014542 hours to days.\nAnswer: 0.033393925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -953*l - 80*l + 50856 = -55*l for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 50, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 11) to base 7\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 33 = -9. Suppose -6*k = -9*k + v. Let j = -17\/2 + k. Which is the second smallest value? (a) -0.4 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 4. Give r(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/2)*89\/178?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 2. Let c be b(0). Suppose 2*u = -c*p + 4*u + 18, -p = u - 9. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.09 or 0?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/(-18))\/(62\/4). Is -1 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2383724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -26*g**2 + 8*g + 8*g**2 - 4 + 17*g**2. Let u(c) = c + 1. Let l be u(6). Let p be t(l). Solve p*m + 4*b = -21, 2 = -b - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2. Let v(c) = -9*c + 33*c + c. What is v(n(q))?\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -21. Which is the second biggest value? (a) r (b) -14 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 5*d**3 + 7 + (-3*d + 2*d - d)*(-3*d**2 + 4 - 4) - 2*d**3 + 3*d**3 + 6*d**3 + d - d + 2*d**3.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvveexvvevcex. Give prob of sequence vx.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1529115201, -1529115200, -1529115199, -1529115198?\n\"Answer: a - 1529115202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/16*2\/(-39)*52. Factor -3\/4*j**3 - 39\/4*j - t - 6*j**2.\nAnswer: -3*(j + 1)**2*(j + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*y - 0*y - 11665, -4*f + 6999 = 3*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.687747 - -8.12765. Let y = 0.44 - o. What is y rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284103.31 take away -165.4?\nAnswer: -283937.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 64*h**2 - 3873*h - 390. What is f(102)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -24195818 less than -193566541\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54570671 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7426 is divided by 126.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 3. Let d be x(0). Suppose 2*l + 76 = -3*c + 27, -2*l + d*c - 79 = 0. Calculate the common denominator of 139\/6 and (-24)\/l - 1\/(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 35. What is the remainder when (-42)\/4*4\/t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016717565 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-2))\/4 + 3150\/36. Suppose -3*n - 34*a + 2132 = -39*a, 3*a = -2*n + 1396. Calculate the highest common factor of n and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 0.2585779302893.\nAnswer: -2.7414220697107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3080 and 770?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1172 or -1177?\nAnswer: -1177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-935)\/(-20) + 9\/(-12).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i + 7*i - 6*i)*(-4 - 3 + 5 + 84 + 97 - 121 - 1 - 2 + 5 + (-2 + 3 + 0)*(3 - 1 + 0) + 3 + 1 - 3 - 4 + 0 + 5 + 2 - 3 + 2 - 3 - 3 + 5).\nAnswer: 512*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/7 - 1956*m**4\/7 + 635688*m**3\/7 - 68006844*m**2\/7 - 209794698*m\/7.\nAnswer: 2*m*(m - 327)**3*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -890542 > -890537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + -83. Suppose -k = -z + 8. Suppose 0 = -6*g + z + 542. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z**3 + 4*z**2 - 2*z**2 + 0*z**2 + (-3*z**2 - z**2 + 5*z**2)*(z - z + z) - 3 - 2*z**3 + 3.\nAnswer: -7*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 2. Suppose -4*r = 2*r - 102. Suppose -2*z = -7 - r. Which is greater: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = r + v + 3*v, -11 = 3*r + v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - ((24 - 12) + -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 515*l + 363. Give b(-2).\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 592.8832 - -0.1168. Let k = q + -593.00319. What is k rounded to 4 dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:11 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -193, -291?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -201520 to the nearest one thousand.\nAnswer: -202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 101072 divided by -1\nAnswer: -101072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*k + 29. Let d = 6 - k. Sort d, -3, 5\/4 in decreasing order.\nAnswer: 5\/4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 2 = 9*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -25*h**2 + 6*h + 10. Let a be c(7). Let k = 163 + a. What is k rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 + 3 - 3. Let o(s) = 163 - 330 + 6*s + 167. Determine u(o(m)).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 832, 828, 822, 814, 804, 792, 778?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 1 - 1)*(-3 + 1 - 3)*(-148*c - 1108 + 1108) to q*c**2 + v + o*c and give q.\nAnswer: 1480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -11. Let l be (2 - -2)*i + -3. Suppose l = -m + 3. Sort m, 5, 4 in decreasing order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/60 + l**4\/8 - 3*l**3\/2 + 3*l**2. Is f(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (8 + -19 - -19 - (6 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0*c**2 + c**2 + c**2. Let k(v) be the second derivative of -v**4\/2 - 8*v. Determine y(k(h)).\nAnswer: 72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*(0 - 0))\/4. Let n(v) be the first derivative of -5\/4*v**4 - 4 + 5*v + p*v**2 + 0*v**3. Differentiate n(j) with respect to j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 9*h - 797, 5*h + 3*j - 316 = 139. Calculate the remainder when 2099 is divided by h.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u**3 + 4*u + 1. Determine x(2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2924, 2929, 2944, 2975, 3028, 3109, 3224?\nAnswer: 3379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 853*g - 74202. Calculate p(87).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4019.133 centimeters?\nAnswer: 0.04019133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:43 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/7 or -1?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 7*q**2 - 123*q + 2. What is the tens digit of r(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -564, -1746, -3970, -7566?\nAnswer: -12864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 2. Suppose 2*v = -v + 18. Does 4 divide g(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.947 and 2.\nAnswer: 1.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - x**2 - 2 + 0 + 0. Let q(w) = -7*w**2 + 24*w + 50. Let m(u) = -4*u**2 + 13*u + 27. Let j(g) = -11*m(g) + 6*q(g). What is 6*i(h) + 4*j(h)?\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 743?\nAnswer: 2\/743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -11. Let y = l + -4. Suppose -h = -y*h + 4. What is the lowest common multiple of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -7*o - 675. Let z = -145 - o. Let l = -55 + z. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s + 40. Let i = 11 + -11. Suppose -4*x + 10 - 2 = i. Solve -3*h + s = -x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 12*h**2 - 31*h - 338. What is m(-9)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 8. Let c be b(4). Suppose 0 = -5*n - 4*d, 5*d = n + 2*n. Let r = c - n. Let h(m) = -m**2 + 5*m + 2. What is h(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 3604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 18 = -0*w. Let j be (2 - (2 - 1))*w. What is the greatest common divisor of 63 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56615550 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 4:59 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 294, 84, 1, -2 in decreasing order.\nAnswer: 294, 84, 1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**7\/1890 + 7*g**6\/135 - 13*g**4\/6 + g**3\/6 - 65*g. Let b(k) be the third derivative of i(k). Factor b(q).\nAnswer: -4*q*(q - 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1403074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (44\/12)\/(-11)*-1. Which is the smallest value? (a) x (b) 0.003 (c) -2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 36 = 3*w + u, -6*u = 3*w - w - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 11711.\nAnswer: -6\/11711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1079, 4235, 9495, 16859, 26327, 37899?\nAnswer: 51575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1536*k - 1528. What is c(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2)\/((-4)\/(-8)). Suppose 3*t = 2*t + f. What are the prime factors of 1\/((-4)\/(-256)*t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*j + 15 = -134*j. List the prime factors of (2 + j)\/((-55)\/(-9) - 6).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 11 = -o, -w - 23 = 4*w + 4*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 4 (c) -725\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 15. Let t(v) = 13*v - 1. Give t(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2487180518.\nAnswer: 2, 59, 73, 173, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -262*p - 265*p + 526*p - 310 + (3 - 1 - 4)*(-2 - p + 2).\nAnswer: p - 310","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*a + 2 + 5 - 14*a - 2 wrt a?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -302, -600, -896, -1190, -1482?\n\"Answer: y**2 - 301*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 10*o**2 + 1008*o - 71. Let r be n(27). What is the highest common divisor of 124 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17828619 to the nearest integer?\nAnswer: 4222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2\/9 + 414674*a\/9 - 21843140 = 0.\nAnswer: -207810, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -108*m - 636. Let q be p(-6). Solve -q*s - 3*s - 75 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 + 115. What is the smallest common multiple of u and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 + 4 - 27) + 1 + 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.172031kg in tonnes?\nAnswer: 0.004172031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1479 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**5\/10 + k**4\/3 - k**3\/2 - 2*k**2 + 2*k. Let l(b) = 3*b**3 - b**2 + 1. Let q be l(1). Is v(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149*v**4 - 7*v**2 - 141*v - 2?\nAnswer: 1788*v**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 400318 to the power of 1\/2, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 367615366.69999738 - 367615376. Let n = l + 9.3. What is n rounded to 7 dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88115 less than or equal to 1674170\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -215 - -371. Let c(x) = 78*x**2 + 2416*x - 29. What is the remainder when n is divided by c(-31)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/16*-8)\/(8\/78)*12\/(-6)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -30*y + 120. Let d be h(4). Sort d, 4, -2, -1 in ascending order.\nAnswer: -2, -1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.19 + -4.19. Sort m, -4, -8 in descending order.\nAnswer: m, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/(-20) + (105\/25)\/7. Let i(z) = 3*z**3 + 3*z + 5. Let k(x) = x + 1. Calculate a*i(m) + 5*k(m).\nAnswer: -3*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*v + 12 = -5*a, 3*a + 5*v - 14 = 0. Let n = 0 + a. Solve 0 = -0*c - 2*c + k - n, -k - 12 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 253309920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(180\/105))\/((-2)\/(-4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9548, 4258, -4558, -16900, -32768, -52162?\nAnswer: -75082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 5:10 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 349 - 7327\/21. Let m = -31411\/73325 - 2\/10475. What is the second smallest value in -6\/11, 2\/3, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 230*g**2 + 191*g**2 + 1.\nAnswer: -39*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 345 and 147085.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -235.8884773 rounded to 0 dps?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.80471 centuries in years?\nAnswer: 5080.471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 14*g - 10. Let c(k) = k + 1. Let u(a) = 5*c(a) + y(a). Let l be u(5). Suppose -p - p + 1486 = l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1231, -2362, -3467, -4534, -5551?\n\"Answer: 2*b**3 + b**2 - 1148*b - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 1:29 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggqqggq. What is prob of sequence gq?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1666*n - 5662*n + 238691 = -100969 for n.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8222586.\nAnswer: 2, 3, 1370431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 45. Let y = p + 35. Which is smaller: -8 or y?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 4:56 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Suppose -3*b - b + 8 = 0. Let i(c) = -6*c**2 - b*c**2 + 7*c**2. Calculate p(i(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0*p**2 + 0 + p + 1\/3*p**3. Let r(l) = -33*l + 23*l + 12*l. What is r(b(m))?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**4 - p**2 + p - 1. Let q(g) = 4*g**4 + 2*g**2 - 3*g + 3. Let k(y) = -6*h(y) - 2*q(y). Suppose k(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 14*l**2 + 16*l + 12. Let r be o(-8). Suppose -2*u + 1042 = -r. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 4*b - 10. Let i be o(8). Suppose -2*v + 25 = 3*v. Let x = v + -3. Calculate the highest common factor of i and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38428 = 3*i - 3*g - 43487, -2*g - 109210 = -4*i. What is i rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -31. Suppose 4*a - 20 - 76 = u. Suppose -p = -3*j + a, -j + 4*p = 2*j - 33. Solve -m + 5*f + j = 0, -2*m = -3*m - 3*f - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -9*(27692\/(-126) - 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 71*n**2 + 133*n - 347. Let m be y(-69). Put 1, m, -4, -5 in descending order.\nAnswer: 1, m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 6055*s**2 + 36485*s - 30425.\nAnswer: -5*(s - 5)*(s - 1)*(s + 1217)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2150\/4747?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*t - 5. Let n be (1 + 0)\/(t\/30). Suppose -913 - 361 = -73*s - 106. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.758803 millilitres?\nAnswer: 0.008758803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + g - 1. Let a(h) be the second derivative of h**3\/6 - h**2\/2 + 35*h. Let u(j) = a(j) - v(j). Let t(r) = 3*r - 4. Determine t(u(c)).\nAnswer: 6*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 663081905 to the power of 1\/2, to the nearest integer?\nAnswer: 25750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -5889349 - 1094651. What is p rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 - 129. Which is the nearest to 2? (a) -2 (b) 1\/6 (c) r (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 49*v. Let s(r) be the second derivative of r**4\/6 - 395*r. Give f(s(t)).\nAnswer: 8*t**4 + 98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1318)\/(-720) - ((-520)\/450)\/26?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 408 - 404. What is the nearest to 3 in -8, s, 0.2, -1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + d**2 + 8*d - 9. Let k be z(4). Let w = k - -13. Is (w + 1)*-2*(-2 + 3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - 62 - (-8 + 0)) + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*(0 + sqrt(1584)) - sqrt(1584)) + -1)**2.\nAnswer: 336*sqrt(11) + 310465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 448.8 - 547. Let q = -97 - f. Which is bigger: 0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 + -4.95. Suppose -4 = 44*w - 136. Which is the nearest to 0.1? (a) w (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152.11 + -0.2.\nAnswer: 151.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2323*a + 62732. Give f(27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 324 + 0?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s + 4 = 0, 4 = -4*i - 4*s. Solve 0 = x + 2*x + i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -4*s + 4*p, -5*s + 4*p + 26 + 102 = 0. Suppose 3*o + s = 5*o. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 299, 1056, 2235, 3788, 5667, 7824, 10211, 12780?\n\"Answer: -8*c**3 + 259*c**2 + 36*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -42*w + 1284. What is n(33)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-17)\/(-5)) + 27\/45.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29001 = 21*v - 1428. Let x = -7793\/6 - v. Find the common denominator of (-1)\/(446\/(-158) + 3) and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -3\/7 (c) 9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**2 - 36*k**2 + 70755 - 70753 - 35*k**2.\nAnswer: -83*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/6)\/((-16)\/(-74592)*294)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(300) + 3 - 3*(1 + sqrt(300))**2) + -2.\nAnswer: -902 - 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2557209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 713 + 336*n - 351 - 362 - 18*n to f*n + u and give f.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105192 and 2435000.\nAnswer: 3896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1545, -891, 195, 1713, 3663?\nAnswer: 6045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563 + 1*(-2 - 8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpppplhxplphpxpxx. What is prob of picking 1 l, 1 h, and 2 p?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 - 3*u**2 + 3*u**2 - u - u**2 + u + (-2*u + 0 + 0)*(-7*u + 2*u + 13*u) in the form m*u + h + q*u**2 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-7)*(-77)\/(77\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*h + 3*d - 268663 = -268886, 29 = 4*h - d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41790, 41287, 40782, 40275, 39766, 39255?\nAnswer: 38742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5*n - 11 = 0, 7*n + 16 = d + 2*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 11 + 13. Is 18 a factor of (-8)\/t - 320\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5332909)\/(-408) + (300\/45 - 6). Let o = b - 13072. Find the common denominator of o and -14\/17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37853491699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32341 is divided by 55?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 10623?\nAnswer: -10620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14611*c**3 + 316*c**2 - 9?\nAnswer: -87666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 5, -5, 29, -4, 4 in descending order.\nAnswer: 29, 5, 4, -4, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359605 is divided by 362.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n - 32 = 2*w, -5*n + 7*n - 4*n + 4*w - 10 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2, -0.2.\nAnswer: -3, -0.2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/2, 13, 1\/17, -74, 0.3, 5 in descending order.\nAnswer: 13, 5, 3, 1\/2, 0.3, 1\/17, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639341999.\nAnswer: 461, 1019, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -274, 0 in decreasing order.\nAnswer: 1, 0, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w + 702 + 594 = 0. Suppose 0 = -3*b + 3, 0 = w*r - 22*r - 2*b - 408. What is the remainder when r is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 1. Which is the closest to 2\/7? (a) x (b) 5 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*1)\/sqrt(2) + sqrt(7) + sqrt(7) + (sqrt(7) + 1 + -5)**2.\nAnswer: -5*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - ((-440)\/2)\/(-5). Let j = -157 - -167. Let r = j - b. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002080452143 rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10882775609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + g + 4. Let r be m(0). Suppose r*p = -0*p. Suppose 153 = 16*c + c. Solve 2*z + c - 1 = p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7583410 divided by -1516682?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(80) + sqrt(168)*2 + sqrt(168) + sqrt(168))\/(sqrt(24)*1*2).\nAnswer: 33*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 2976 = 7*b. Suppose 246 = -t + b. Solve 2 = 4*g - t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1347 divide 3560368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*x = -205, -47 = -l - 0*x - 5*x. What is the highest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-1 - -1 - 1). Suppose -2*s - f = -7 - 133, -2*f + 144 = z*s. Suppose s = 5*u - 72. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*b - 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -6, -4.5, -0.1 in increasing order.\nAnswer: -6, -4.5, -0.1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*w + 8*w - 240 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l + 14. Let k be q(8). Let t(i) = -i - 19. Determine t(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0.4, 0.5, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 119, 165, 211, 257?\n\"Answer: 46*u + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phj when three letters picked without replacement from {h: 3, j: 5, p: 8}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.3632855.\nAnswer: -1.8164275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 24 - 7*l + 14*l - 8*l. Let o be w(0). What is the tens digit of (-8*1)\/(-2) + o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4365700385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19394 - 438029 = -3101*s for s.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1915708?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5*q, -2*q - 2*q = 2*t + 24. Sort -3, t, 5.\nAnswer: t, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 10*g**2 - g + 7. Let n be a(10). What is the second biggest value in -3\/2, -0.263, n?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.485?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161522815 and 3265.\nAnswer: 3265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 6, q: 5}. Give prob of sequence hs.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 0.1.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 244435445.8 rounded to the nearest 10000?\nAnswer: 244440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 767073286 to the power of 1\/3, to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = 18. Let y(o) = o**2 + 12*o - 4. Let t be y(-13). Is d equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/350166 and -73\/408.\nAnswer: 1400664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n = 65*n - 4. Let f(b) = 270000*b**3 + b**2 - 3*b + 2. Let r be f(n). Round r to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2511*c = -2026*c + 12125 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, i: 3}. What is prob of sequence nin?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {z: 1, h: 1, y: 2, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3591395*a - 3591408*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 11 = -2*t, -5*a - 81 + 21 = -5*t. Calculate the remainder when t is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 446368364, 892736727, 1339105088, 1785473447, 2231841804, 2678210159, 3124578512?\n\"Answer: -m**2 + 446368366*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2634 divided by -6\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n - 4260 = -53*n. What is the remainder when n is divided by 96?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 10) to base 9\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - 10*c**2 + 12*c - 19*c**2 - 14*c in the form n*c**2 + d*c + f and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 337 + -111. Let o = x - 82. Calculate the highest common factor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*g*m**4 + 7*g*m - m**4 - 667*m**3 - 495*m**2 + m + 1 wrt m?\nAnswer: -528*g*m - 24*m - 4002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q - 1. Let s be w(-2). Let f(j) = -j - 6. Let a be f(s). Solve a*c = -3*k - 12 + 4, -5*c - 9 = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260536838?\nAnswer: 2, 130268419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1968396.3 rounded to the nearest 100?\nAnswer: -1968400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 15*o**2 - 18*o - 18. Let n be v(-16). Let d(p) = -4 + n*p - 38*p - 4. Let w be d(-6). Calculate the highest common divisor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/2 of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 400 - 277. Calculate the remainder when i is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (632\/(-1264))\/((-14)\/4 + -1)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18860 is divided by 233?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3 - 2 + g - 7. Let b be h(5). Let k = 9\/7 - 113\/77. Which is bigger: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m**2 + 69 - 69)*(2*m - 2*m + 2*m**2).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -437044, -1748178, -3933400, -6992710, -10926108?\n\"Answer: -437044*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3864143 to the nearest integer?\nAnswer: 1966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/11172 and -145\/62244?\nAnswer: 435708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 22*s - 2. Let r be l(-22). Let t be ((-20)\/30 + r)*-1*3. Let k(y) = -y**2 + 4*y + 11. Determine k(t).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(6\/10)*118\/(-590). Sort 17, 2, 19, a.\nAnswer: a, 2, 17, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004520824 to 6 decimal places.\nAnswer: 0.000452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1164, -1170, -1180, -1194, -1212, -1234, -1260?\nAnswer: -1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*1*-6 - ((sqrt(5) - (1*sqrt(30))\/sqrt(6) - sqrt(5))*3)**2 - ((2*sqrt(80) + -3 - -6*-2*sqrt(80))*4)**2.\nAnswer: -128189 - 3894*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2 - 24852848*j - 154416013427776 = 0. What is j?\nAnswer: -12426424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5884598*j**2*k**4 + 2*j**2*k**2 - 683*j**2 - 69197*j - 8*k**5 wrt k?\nAnswer: 141230352*j**2*k - 480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0157 and -32828?\nAnswer: 32827.9843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/90 + 1 + 0 and ((71\/284)\/((-126)\/160))\/(48\/(-280)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30116 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhegz. What is prob of sequence zhz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and 931956.\nAnswer: -48461712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-1)\/(-224)*-2.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0 + 0*d - 5\/24*d**4 - 3*d**2 + 0*d**3. Let o(a) = -2*a. Determine g(o(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/16 - (-28)\/16)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.006 + 0.494. What is the biggest value in m, 1, 2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 941*q**5 - 626*q**4 + 674888*q**2 wrt q.\nAnswer: 56460*q**2 - 15024*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6186*x**2 - 2 + 3098*x**2 + 3090*x**2 - 3 - 67*x.\nAnswer: 2*x**2 - 67*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107364, 214791, 322206, 429603, 536976, 644319?\nAnswer: 751626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-936)\/(-2106)*(-6)\/(-20). Determine t so that x*t**3 - 4\/15*t - 2\/5*t**4 + 2\/5*t**2 + 0 + 2\/15*t**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 444*r**2 + 29404*r - 196. Determine b(81).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8694620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - 9\/(-2))*742 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 3*i**2\/2 + 30*i - 3. Let q be j(0). Suppose 0*c + q = 6*c. Solve -4*h - c*v = -1 - 6, -4*h = 4*v - 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5338, 5349, 5350, 5335, 5298, 5233?\nAnswer: 5134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*k**3 + 176*k + 264304 wrt k.\nAnswer: 150*k**2 + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + (-5 - -1))*15. What is the smallest common multiple of (z\/4)\/((-15)\/80) and 15\/3*(-6)\/(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2731.1145 months?\nAnswer: 0.227592875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 707\/19748 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**3\/6 - 5*l**2\/2 - 22*l. Let i be y(14). Solve o = -4 + i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22, 11, 1, 29, 203 in ascending order.\nAnswer: -3, 1, 11, 22, 29, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1518910 divided by -5.\nAnswer: 303782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -897.\nAnswer: -896.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6940831378.\nAnswer: 2, 13, 266955053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -5. Suppose -s = -2*z + 11, -5*z + 26 = t*s - 4*s. What is the remainder when ((-1)\/(-2))\/(1\/18) is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25988, -103908, -233756, -415538, -649260, -934928?\n\"Answer: -v**3 - 25958*v**2 - 39*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n - 55*n + 4*l - 25 = 0, 0 = 3*n - 3*l + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 3*l - 1. Let o be n(4). Suppose 130*i - 132*i = 2. Put i, -2, -4, o in ascending order.\nAnswer: -4, -2, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 22*w - 17. What is k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350946 and 20502.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 112 = 181. Suppose -3*n + 5*p + b = -506, 5*n = 5*p + 1335. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185 - 180. Solve k + w = 0, -3*w + 1 + 3 = n*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -393824 or -393885?\nAnswer: -393824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 436 - 184. Suppose 0 = -0*r - 6*r + n. What is the highest common factor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 9639?\nAnswer: 4819.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/81 or 1?\nAnswer: 20\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114360 is divided by 67?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470147115 is divided by 7799.\nAnswer: 7797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:33 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12600)\/(-40320))\/(((-1)\/(-12))\/((-1)\/(-10)))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 58. Suppose -h - h = -4*i + 392, -2*i + p*h + 212 = 0. Which is smaller: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205*r*t**2 - 5544*r*t + 2*r wrt t?\nAnswer: -410*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177198 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -1217, -2747, -4889, -7643, -11009, -14987?\nAnswer: -19577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(77) - (sqrt(77) + (sqrt(77) - sqrt(77)*-1 - sqrt(77) - sqrt(77)))))\/(sqrt(704)*-3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 16. Calculate the greatest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 185 * 7.4208.\nAnswer: 1372.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 + 70. Let t(k) = 115*k**2 + 5*k - 3. List the prime factors of t(h).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91436.\nAnswer: 2, 22859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*t + 23 = 0, 2*t = -64992*k + 64990*k - 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 2. Let a(u) = 2*u**2 - 1. Let o be a(1). Suppose -9 = -4*m + t, 4*t - t = -2*m + o. What are the prime factors of g(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-425)\/119)\/(4\/(-28))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.7, -28.7621, -24?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3105)\/8775 + (-2)\/(-10) + (-318)\/468.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.0899 rounded to the nearest integer?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4128 divided by 1032?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*x + 189*x - 15108 = 0. List the prime factors of x.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/4*(-6)\/(-5). Suppose 5*u - 10 = -4*k + 7, -15 = -o*u. Let x(f) = -3*f**2 - 2*f - 2. Let i(w) = -7*w**2 - 4*w - 5. Give k*i(r) + 5*x(r).\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.05437 years to centuries.\nAnswer: 0.1805437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 37. Let y = -27 + r. Let g be 24\/36 - 4\/y. Is -5\/8 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -5 + (18 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q - 2 + 38*q - 27*q. Suppose 5*g - 15 = 5*h, 4*h + h - 3 = -g. Let k(o) = o - 2. Give g*k(c) - 4*s(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -271, -515, -921, -1489, -2219, -3111?\n\"Answer: -81*g**2 - g - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176, -7903, 2 in descending order.\nAnswer: 176, 2, -7903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/4, 0.055511, 0.2, 2\/5 in decreasing order.\nAnswer: 1, 2\/5, 1\/4, 0.2, 0.055511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 15*w**2 + 1\/504*w**8 - w - 1\/36*w**6 + 16\/9*w**3 + 5\/18*w**5 - 1\/63*w**7 + 10\/9*w**4 + 0. Factor o(q).\nAnswer: 2*(q - 4)**2*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 19. Suppose 3*y - r - 10 = x, -y + 0 = -3*r + 2. What is the remainder when 5 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/14 - 19\/2. Suppose -4*d + 12 = -2*d. Let t = d - c. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 5*p**3 - 10*p + 5*p**3 - 7*p**2 + 3*p**3 - 14. Let b be l(8). Round b to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -2*y - 2*y, 2*y - 2*w + 6 = 0. Suppose y*m = -4*m. Suppose 2*q + 2706 = 424*q + 29*q. Solve m = -u - u - q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and (-108)\/180 + 4\/(20\/103).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 5*n - 9. Let h be p(-3). Is 4 a factor of 36\/(-45)*(h - (-79)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576) - (sqrt(576) + -4*-2*sqrt(576)))\/(2*sqrt(12)*-2))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -24. Let o = -22 - -16. Let w = -9 - o. Which is the closest to v? (a) 1 (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 64, 145, -2, -3, 1, 27.\nAnswer: -12, -3, -2, 1, 27, 64, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*17388\nAnswer: -34776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 236*m - 240*m + 80941, -2*u = -2*m - 32362. Is u a multiple of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 486*m**5 - 12*m**4 - 5*m**3 - 765562*m**2?\nAnswer: 29160*m**2 - 288*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1376 divide 3233938496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2552576502.\nAnswer: 2, 3, 7, 1240319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 249\/15 - (-9)\/(-15). What is the greatest common divisor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466.72 - 1?\nAnswer: 1465.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50796*t**5*z - 2*t**3*z**2 - 68445*t - z**2 wrt t?\nAnswer: -1015920*t**3*z - 12*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1. Let u(m) be the second derivative of m**4\/4 + m**2\/2 - 14*m. Calculate u(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 7 - (-1 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 + q**2 + 6*q + 6. Let w = 8 - 14. Let g(n) = 96 - 89 + 2*n**2 + 6*n + 8*n**3 - 3*n**3. Let k(a) = w*i(a) + 5*g(a). Calculate k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8)*-4 + 8 - -10. Let n(p) = -p**3 + 18*p**2 - 19*p + 23. Calculate n(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*(-18)\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 5*i + 17*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 - 110463963*f + 1 - 3 + 110463965*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29408.9 nanograms in kilograms?\nAnswer: 0.0000000294089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 10. Let t(s) = -r*s + s**3 + 5*s - 3*s - 2*s**2 + 4. Calculate t(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -207 - -206.8. Let i = 10 + -32\/3. Let l(m) = m**2 - 4*m - 8. Let u be l(6). Which is the second biggest value? (a) i (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/30)\/(14 - 360\/25).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r = -820. Let s = 552 - r. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1014 - -704. Let v = 441 + w. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -w + 14, 0*w + 3*r - 33 = -2*w. Let x be (4\/w)\/2 + 858\/990. Suppose 5*b + x + 1 = -u, 0 = -4*u - 8. Solve b*q - q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10109 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:49 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74021 = 4017*d + 142897 for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161722255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154109168.\nAnswer: 2, 857, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 2f4ae?\nAnswer: -2f4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 3*b**3 - 4*b**3 + (0*b + 2 - 2 + 6*b)*(-7*b**2 - 3*b**2 + b**2) to y*b**2 + a + k*b**3 + l*b and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3600\/468 - -11 - (-8)\/26.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.2, 0, -12.5, 411\/7 in increasing order.\nAnswer: -12.5, -0.4, 0, 0.2, 411\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*i, i + 4*s = 2*i. Solve 4*p + i*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1110?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -10247?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 173 + -174.37. Let h = -1.6 - z. Let g = 0.23000321 + h. What is g rounded to 7 decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -35, -20, 7?\n\"Answer: 6*q**2 - 15*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**3\/6 + 107*b**2\/2 + 2*b - 3. What is the lowest common multiple of i(-15) and 22?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 102501?\nAnswer: -102516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448)*1 - sqrt(2448))*-4 - (sqrt(2448) - (1 + sqrt(2448)))*-5 - ((1 + sqrt(2448))*-3 + sqrt(2448) + (sqrt(2448) - (-5 + -1 + sqrt(2448)))))**2.\nAnswer: -384*sqrt(17) + 9856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1117303\/1170 + 8300\/117. Let y = -1025 + j. What is the common denominator of 158\/(-4)*2\/(32\/2) and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 0, -3, -371, -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 192881561 to the power of 1\/3, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 6*y = -94 + 83, -56 = -2*a - 10*y - 4*y for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6200)\/(-341) + 4 + -22 - 1117266\/(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -56*r + 1. Let u(y) = -56*y + 1. Give 4*b(a) - 3*u(a).\nAnswer: -56*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2)\/(c\/c**(-4\/7))*c**4*c\/(c\/(((c\/c**(4\/7))\/c)\/c))*c assuming c is positive.\nAnswer: c**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdi when three letters picked without replacement from tittjgitjbigdgiiig?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*a - 2 = 0, -17*t - 2*a + 2 = -19*t. Sort -6, 15, t, 1, -1.\nAnswer: -6, -1, 1, t, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by 2?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -727, -2888, -6475, -11476, -17879, -25672, -34843, -45380?\nAnswer: -57271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o - 0*o. Let n be o\/(-3)*3\/(-2). What is the common denominator of 286\/28 + (n - 3) and -3\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1927 * 2113.\nAnswer: 407.1751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2418 - -7098. Round z to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2.1, -2, -1\/2, -2\/103?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 470022 a multiple of 1767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b - 31 = -3*d, -b + 29 = 5*d. Let c(j) = 5*j + 2 + 14*j**2 - 15*j**2 - 2. Determine c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l + l**2 - 87 + l**3 + 3*l**3 + 89 as r*l**2 + s*l**3 + o + m*l and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 338*y**2\/9 - 728*y\/9 + 392\/9 = 0. What is y?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-10))\/(472\/(-80) + 6). Let n(q) = q**3 - 7*q**2 + 5*q + 4. Let z be n(6). Which is the smallest value? (a) z (b) 1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45.7 + -2.3. Let v = o + 47.989. What is v rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + 1881\/(-135))\/(3\/5)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (620\/154 + -4)*50\/(6750\/(-567)).\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 - 18*w**2 + 0*w**2 + 5*w**2 + 10*w**2. Let q(c) = 8*c**2 + 29. Calculate q(n(g)).\nAnswer: 32*g**4 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, u: 1, m: 1, n: 1, p: 2, h: 1}. Give prob of sequence pahu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10286 - 0?\nAnswer: 10286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3044*f**4 + 7*f**3 + 644265 wrt f?\nAnswer: 12176*f**3 + 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3555?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.187 (b) -1 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(3\/180*4). Suppose 12*v - a = 7*v. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412756306.\nAnswer: 2, 271, 761543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 615495*g**5 - 5085*g + 213 wrt g?\nAnswer: 12309900*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3880 and 6?\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/7 + 806356*x - 5644488\/7.\nAnswer: -4*(x - 1411122)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 666*s + 11038. Let q be d(-17). Let 8\/3*u - 5\/3*u**q - 49\/3*u**4 - 23\/3*u**2 + 0 - 25*u**3 = 0. What is u?\nAnswer: -8, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 234 and 34?\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {o: 2, m: 2, t: 1, n: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*a - 65*a + 30*a)*(-4*a + 2*a - a).\nAnswer: 270*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 (base 14) in base 8?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -26*f - 5. What is q(2)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1*6\/24 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 779*x**4\/12 + x**3\/3 - 496*x**2 + 8*x + 9. What is the second derivative of q(w) wrt w?\nAnswer: 1558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -21*n + 2123. Is c(66) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**7\/420 - w**4\/4 - w**3\/2 - 3*w. Let b(a) be the second derivative of r(a). Differentiate b(i) wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 8:57 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l - 49. Let f be (-5)\/1 - (-1)\/(-4 + 5). Let b be y(f). Which is greater: -32 or b?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3029 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 9 = m, 31*m + 4*u = 33*m - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -16*l**3 + 26*l + 6. Let u(y) = -15*y**3 + 27*y + 4. Give 2*j(z) - 3*u(z).\nAnswer: 13*z**3 - 29*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 182327 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: What is -9920000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 85290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 397130.\nAnswer: 3\/397130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22682 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 117 and 114 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/112 and 25\/2296.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 186.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u. Let i be 2 - 5 - (1 - 9). Suppose 0*f = -f + 3. Let h(d) = -3*d - 4*d + f*d + i*d. Calculate h(v(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/19646 and 5\/10846?\nAnswer: 9685478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1864*l - 743*l - 619*l - 757*l.\nAnswer: -255*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**5\/5 - 12*w**3 + 516*w - 55. Differentiate x(u) with respect to u.\nAnswer: -4*u**3 - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/8 - (-114)\/304\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:21 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.525 to 1 dp.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26732258*r**3 + 16962*r**2 + 9*r + 15 wrt r?\nAnswer: 160393548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 426 + 2370. Is (-2)\/(2 - (t\/(-2804) - -3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119.2 - -119. Let t be 27\/9 - (4 + (-2)\/(-1)). Which is the fourth smallest value? (a) w (b) -9 (c) t (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 1408 (c) 2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 934.6413 centuries?\nAnswer: 93464.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 1152?\nAnswer: 1152.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.04 or 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.49323 millilitres to litres.\nAnswer: 0.05949323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raa when three letters picked without replacement from araaarrraaaara?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 26. Solve 0 = m + m - 5*i - 3, 5*m + r*i = 25 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 19*p - 10. What is b(-19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67432 < -794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5 - 28496*u**4 - 1989887*u**3 - 1904404*u**2 + 3922788*u = 0.\nAnswer: -28426, -69, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 507 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:43 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*m + 56*m + 90*m - 131*m to g*m + i and give g.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/114)\/(6\/9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132 - -130.95. Let l = 5.05 + r. Which is the fourth smallest value? (a) l (b) -1 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 m when four letters picked without replacement from tmmmmmtmmmmmmmmtmmmm.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1\/(-1)*-5. Suppose -9 + 1 = -w + 2*c, 0 = -5*c - 25. Sort h, 1, w in descending order.\nAnswer: 1, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((0 + 2)*-1)\/(-1). Suppose -r - w*r + 39 = 0. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 7 + 7 + (11 - -2 - 19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**4\/4 + 8*i**3\/3 + 3*i**2 + 8*i - 101. What are the prime factors of o(-3)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9873 + 9860. Which is smaller: u or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96386745*y + 2*y**3 + 96386745*y.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-300)\/180)\/((-10)\/12). Solve -3*a + 1 = -s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*b + 1068 = -420 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*j**2*p**3*r**3 - 2*j**2*p**3*r**2 - 15*j*p**2*r**3 + 70*j*p**2*r**2 + p wrt r.\nAnswer: -42*j**2*p**3 - 90*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-131 - -133)\/((-20)\/(-6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5) + -40 + 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 986\/12 - (-9)\/(-54). Let v = -23 + k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-185)\/(-222) + (-1 + -2)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1609916 and 1064?\nAnswer: 61176808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 20, -18*q + 5*q + 16 = -3*q - i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 13 - (-5 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**6\/10 - w**2\/2 - 5*w - 1. Let v(r) be the first derivative of a(r). Differentiate v(p) with respect to p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -284 - -1664. Let i = q + -2651. Let r = i + 2142. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 5*i + 14. Let u be f(7). Suppose 0*l - 4*l + 3*x = -144, 2*l + 5*x = u. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 195539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221102110 (base 3) to base 10.\nAnswer: -38217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 4*v**2 + 1. Let n be l(-4). Let q = n + -3\/2. Which is the third smallest value? (a) q (b) 0.5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 180\/(-2)*1536\/(-240). Suppose 5*y - 224 = h. Calculate the highest common divisor of y and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 15 = 0, 0*v + 9 = 5*v + 2*s. Let a(c) = -c**2 + 0*c + c**v - 4 + c + 3. Let j = 10 + -8. Calculate a(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -3\/4 (c) -7 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4801105 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1925388.13 rounded to the nearest 10000?\nAnswer: -1930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 16*v**2 - 47*v - 7. Let x be b(12). Suppose 20*o - 1370 = 17*o + x*t, -5*o + 2271 = 4*t. What are the prime factors of o?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 2*l**2 - 2*l + 3. Let i(g) = 7*g**3 + 5*g**2 - 4*g + 7. Let z(m) = -m - 14. Let q be z(6). Let t = q - -15. Give t*p(s) + 2*i(s).\nAnswer: -s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010100010101101 (base 2) to base 14.\nAnswer: c2d9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhhhhwhhhh. What is prob of sequence wf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 + 51*o**3 - 261*o**2 + 285*o + 600.\nAnswer: -3*(o - 8)*(o - 5)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13.317147 months?\nAnswer: 0.110976225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978235224878*f**4\/15 - 78260307877624*f**3\/15 - 39730582368*f**2\/5 - 60510848*f\/15 - 2048\/3 = 0 for f.\nAnswer: -80, -4\/7879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.288 - 1.41. Round n to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3000\/510 + (-4)\/(-34)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/294*-98*-3*2\/(-20).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -23, 992, 1 in decreasing order.\nAnswer: 992, 1, -23, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 2 = 14*c. Let y be c\/2*2 - (-10 + 1160009). What is y rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a microsecond in nanoseconds?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9841 - -9841.0020176. What is s rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -17.2. Let i = -5388.8 - -5389. Which is the smallest value? (a) -2 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-132)*(6 - 4)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 258 = -4*r + r, 0 = 4*r - l + 356. Is r greater than or equal to -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 3*l**2 + 2*l**2 + 2*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 - 22 = 35*a - 4*z, 3*a = 3*z + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 + 582*s**2 - 2481*s - 108395. Calculate x(286).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-3\/13))\/p)\/p*p**(-2\/21))\/(p**(1\/43))**(-18) assuming p is positive.\nAnswer: p**(-10652\/11739)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*n + 268*n = 3*x + 404, 4*x + 2*n + 546 = 0. Do -136 and x have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1.3, 4\/3, 4, -2\/7, -5 in increasing order.\nAnswer: -5, -1.3, -2\/7, 4\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 7. Let t(s) = -s + 4. Let v(u) = 4*g(u) + 7*t(u). Let r(z) = -2*z**2 - 4*z. Let l = -13 - -7. Let a be (-1)\/(-6)*4*l. Calculate a*v(w) - r(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 5*f**4\/6 + 19*f**2 - 3*f. Differentiate s(z) with respect to z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 7. Let x = -19 - g. Does 14 divide (0 + -21)\/(x\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6*l - 4306. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6283156 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4311*d**4 - 42*d**2*s + 2*d*s + 2*d + s - 46890 wrt d?\nAnswer: 51732*d**2 - 84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -12.3. Suppose -4*r = -3*r. What is the closest to -2\/7 in u, -1, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41957197 - 2.2564.\nAnswer: 41957194.7436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 156, 218, 264, 288, 284, 246, 168?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -36214*b - 5323436. What is p(-147)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1112410, 4449625, 10011650, 17798485?\nAnswer: 27810130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 1:10 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {r: 2, e: 1, y: 2, j: 1, f: 1, w: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.5, -0.5, 26\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193684315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/3*(-2 - 1). Let i be (-2)\/(((-15)\/5)\/3)*1. Solve i - c = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 3*t**2 + 3*t - 4. Let g be w(-4). Let x = 10 + -7. Let i be (1 + (x - 6))\/(-8). Which is the biggest value? (a) 1 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 0*k + q - 14, -5 = -5*k + 5*q. Suppose -5*z - 10 = -5*d, 5*z - 1 = d - k. Let o be (4\/6)\/((-4)\/(-6)). Is d greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*f = 21, -2*q - 414*f + 417*f = 21 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4457222110 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 796 + -303. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 16) to base 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-63*(-16)\/(-72).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.9 and -163.28?\nAnswer: -800.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -500578*o**2 + 423320*o.\nAnswer: -1001156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9362 plus 4370?\nAnswer: -4992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37\/21 + 4\/3. Suppose -57*j - 57 = -60*j + 3*v, -2*v + 16 = j. Which is the second biggest value? (a) j (b) 0.1 (c) -5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 8. Let w(v) = v - 5. Let g be w(h). What is the remainder when 8 is divided by ((-1)\/((-3)\/g))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -42*f**2 - 6263*f - 66. What are the prime factors of n(-149)?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75776.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18773 (base 14) in base 9?\nAnswer: -103742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**3*h*q*w - 8*g**3*h*q - 18*g**3*h*w - 2*g**2*h*q + 15*g**2*h + 4*g**2*q - g*h*q*w + 7*g*h*q + 3*g*h wrt g.\nAnswer: -24*h*q*w - 48*h*q - 108*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -1 - (41 - 24 - 17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - v**3 + 2*v**3)*(6*v + 3*v - 3*v).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00037516 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 278*a**2 - 9734*a + 143. What is v(35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*(z*z\/(z\/(z\/(z*z**(2\/9)\/z*z*z)*z)))\/z)\/z*z)\/(z*z\/((z**1*z)\/z)))**16 assuming z is positive.\nAnswer: z**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 15, 5*v + 2 = 5*j - 38 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 1 + -2)\/(-3). Let l(o) be the second derivative of -o**2 + 0 + b*o**3 + o. Differentiate l(d) with respect to d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-10) - (-2)\/(-10). Suppose -q*r + 36 = -r. 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 the remainder when 247 is divided by 209?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1259.11784 rounded to the nearest integer?\nAnswer: -1259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12294 + 12299. Which is the nearest to 1? (a) -102 (b) 0.06 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 59*u - 635. Let p be s(-14). Sort 0.4, -25, p, 2, 4.\nAnswer: -25, p, 0.4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a meter in centimeters?\nAnswer: 1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -51*(-4)\/12 + 0. Suppose 0 = -3*a + 5*j + 37, 2*j + u = 3*a + j. Solve a*q + 0*q = 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-132)\/(-30) - 2\/5. Let k(o) = 6*o + 4. What is k(p)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, v: 1, j: 2, m: 1, z: 1}. What is prob of sequence yz?\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143 - -13. Let v = x + -289. What is v rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 76\/(-266) - (-46)\/14. Let z(a) = 14*a**3 + 5*a**2 + 5*a - 23. Let s(r) = 5*r**3 + 2*r**2 + 2*r - 8. Let y(m) = 11*s(m) - 4*z(m). Determine y(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = 10170*j - 10173*j + 4, 0 = -2*j - 2*b + 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-51))\/((-21)\/126).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0753 or 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**5 + 915*q**4 - 74255*q**3 + 1523745*q**2 - 12215610*q + 34350480 = 0?\nAnswer: -248, 9, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245 - 142. Let m = -71 + d. Calculate the greatest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(500) - ((sqrt(500) + -3 - sqrt(500)) + sqrt(500))**2 - sqrt(5)*1*3 - (-1*sqrt(80) + (sqrt(50)\/sqrt(2))\/sqrt(5))).\nAnswer: -210*sqrt(5) + 1527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.14 + 0.14. Let s = -1.9 - -1.78. Let k = 2.12 + s. What is the nearest to k in o, 4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149662 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(28 - 6 + q + 78).\nAnswer: q + 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.2 (b) -5 (c) 183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -597 or -5.8?\nAnswer: -597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 12 + 7 - 39 + 2987*p**2 to the form i*p + c*p**2 + l and give c.\nAnswer: 2987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10063614?\nAnswer: 2, 3, 11, 41, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 11. Let q(n) = -n**3 - 5*n**2 + 8*n + 8. Let y be q(-6). Let z = v + y. Solve -z*b = b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/7 - ((-24)\/56 - -1). Let w(j) = -12 - 3 + 5 + 2*j + d - 2. Calculate w(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842 a factor of 35569959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14476 and 1421?\nAnswer: 2938628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7563662, 15127312, 22690962, 30254612?\nAnswer: 37818262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24225 divided by -180\nAnswer: -1615\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3628258.292 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13905372589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-two fifths of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 7*y - 1. Let l be z(8). Let c = -14 + l. Let q = 13 + c. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = w. Solve o + 11 = -3*c, o + 4*c + 6 = w*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 15*w**2 + 2. Let z be t(-15). Suppose -z*n + 22 = 70. Let u be n\/(-11) - (4 - 2). Sort 1, -0.4, u in increasing order.\nAnswer: -0.4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 74.67469 millennia?\nAnswer: 7467.469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 548?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*d - 32. Let c(o) = o**3 - 12*o**2 - 250*o - 60. What is the least common multiple of d and c(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 582 + -580. Is o - (-260 + (4 - -1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5) + (-155)\/(-25). Let z(r) = -r. Let u be z(-3). Suppose u*p = -0*w - 3*w + m, 2*w = 0. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45568787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36 - 0.14. Let p be (9\/(-3))\/3 - (-4)\/7. Which is the third biggest value? (a) p (b) -0.06 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7\/408 + 325\/16728. Calculate the common denominator of 97\/30 and g.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - 3 + 3)*(-10*t**3 - 269*t**3 - 396*t**3 - 317*t**3) in the form k*t**3 + h*t + r*t**4 + i*t**2 + n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 857378*r + 2572152.\nAnswer: -2*(r - 428692)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, -0.7, 1\/28, -2?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 12 = 4*x, -2*x + k = -3*k - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19488730 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 18*q**2 + 17*q - 10. What is y(-17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1252670 - 2?\nAnswer: -1252672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 take away -43?\nAnswer: 42.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105732.\nAnswer: 2, 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 9*g**2 - 2*g - 13. Calculate the remainder when (38\/4)\/((-3)\/(-6)) is divided by k(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 249*b**2 + 249*b**2 - 5*b)*(-2*b - b + b).\nAnswer: 4*b**4 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 5*d**2 + 5*d - 3. Let r be t(-6). Suppose 29*g + 56*g - 6902 = -153*g. Differentiate 4 + 0 + 5 - 3 - g*w**r wrt w.\nAnswer: -87*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/63*(-1)\/(-1)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100 (base 2) to base 14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**8\/1680 + h**7\/315 - h**6\/180 + h**4\/6 - 4*h**2. Let b(i) be the second derivative of y(i). Find k, given that b(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 4.9. Let o = 5 + -5.27. Let z = o - -0.27. Which is the nearest to 1? (a) i (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r + r + (-6 + 1 + 4)*(0*r + r + 0*r))*(41511*r - 41511*r - 1213*r**4).\nAnswer: -1213*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 51588*v**3 - 51585*v**3 + 27 - 38 + 18.\nAnswer: 3*v**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 11450 = -g, -4*g + 1853 = 4*q - 7323. What is the highest common divisor of 6 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*h - r + 5 = -103*h, -12*r = 4*h - 104 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39592518.\nAnswer: 2, 3, 7, 31, 47, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286 - 1138*f**3 + 619 - 333 - 2*f - 1513*f**3.\nAnswer: -2651*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -3, 190, 615, 1350, 2473, 4062?\nAnswer: 6195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -26, -75, -174, -341, -594, -951?\nAnswer: -1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1623*h - 5370 with respect to h.\nAnswer: 1623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 1\/105*m**7 + 2 - 15*m**2 + 0*m - 1\/10*m**6 + 2\/15*m**5 + 0*m**3 + 0*m**4. Find the third derivative of o(q) wrt q.\nAnswer: 48*q - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 - 0.1. Suppose 2*r - 59*q + 63*q + 744 = 0, 0 = -4*r - q - 1495. Let o be (-5)\/2 - r\/176. What is the third biggest value in o, u, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 158, 66, -102, -352, -690, -1122, -1654?\n\"Answer: -z**3 - 32*z**2 + 11*z + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**5\/15 - 1464*x**4\/5 - 36134*x**3\/3 + 190928*x**2\/5 - 25848*x = 0.\nAnswer: -2154, -45, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0.05, 0.3, 610?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 20 = -z + 7, 2*h + 0*h + z = -9 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014360244 to 6 dps.\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 77*d**2 - 10*d + 754. Determine l(77).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 716\/2775?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -466511, -466496, -466471, -466436, -466391, -466336, -466271?\n\"Answer: 5*t**2 - 466516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1185.6 + 1186. Put -2\/3, x, 0.02, 2\/45 in decreasing order.\nAnswer: x, 2\/45, 0.02, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/162*189\/14.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -839.\nAnswer: 66\/839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4115 divided by -221.\nAnswer: 4115\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 6240 - 19619 = -9*v. Calculate the remainder when v is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 54*a + 272. Let u be b(-5). Let f be (-2 + -1)\/6*0. Suppose -5*o + f*s = -2*s - 18, -4*s - 16 = 0. Solve o*k = -u*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 5*a + 6 = m, 3*a - 3*m - 18 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -35\/6 (c) -2\/7 (d) 2\/5 (e) 2\/11 (f) 867\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4 and ((10\/12)\/5)\/((-1521904)\/876)?\nAnswer: 10424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1305416 and 2464?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13884 - -14719. What is the least common multiple of 10 and n?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*a - 0 + 1, 20 = -4*d. Find the third derivative of -53*x**3 + 41*x**a + 3 - 32*x**2 - 3 wrt x.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 34. Suppose -5*c + 198 = 2*y, i = c + 2*y - 9 - 29. Find the first derivative of 40*v - 3*v**4 - c*v + 10 wrt v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1286 - 1045 = -17*x - 359. Solve x*c - 103*c = -39 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 48685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 1:38 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -34. Let k = 4 + -3. Do k and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1956725306.\nAnswer: 2, 167, 5858459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 12:51 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert c483b (base 15) to base 12.\nAnswer: 260548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/35)\/(-3 + 3 + 58\/203)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 427797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 1.8. Let v = -11265 - -11265.18. Let l be 12\/7 + 0 + -2. Sort x, v, l in increasing order.\nAnswer: l, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 + 31456*s + 157380 = 0.\nAnswer: -5, 7869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1\/2, 1.4, -2\/5, 47, -2\/7 in increasing order.\nAnswer: -9, -2\/5, -2\/7, 1\/2, 1.4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-4))\/((-6)\/(-20)). Let p(x) = x**3 - 5*x**2 + 4*x + 5. Let l be p(n). Suppose -l = -5*b + a, 2*b + 4*a - 10 = a. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7158320 minus 0.064?\nAnswer: 7158319.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*z - 4 + 16, 4*z - 2*f + 20 = 0. Let r(o) = 2*o**2 + 4*o. What are the prime factors of r(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 43*s**4\/12 - 83*s**3\/6 + 3*s**2 + 3*s. What is the derivative of v(t) wrt t?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(1\/(-3))*101*(-12489)\/(-73124)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 3. Let l(y) = -y**2 - 3*y + 4. Let h be l(c). Suppose -4*s = 5*f - 53, 3*f + f + 8 = h*s. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51577700 to the nearest 1000000.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 1:26 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - 8*o - 25. Give p(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 9) in base 13?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*x + 9*x - 8, 0 = x - 5. Let s be (y\/(-5))\/(2*6\/30). Solve z = -s + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19830*q + 5650 + 5671 - 11321 to the form m*q + i and give m.\nAnswer: -19830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 141*s - 138*s = -547, 4*s - 1356 = -5*k. What is the remainder when k is divided by 99?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 159, 309, 443, 549, 615, 629, 579, 453?\n\"Answer: -2*a**3 + 4*a**2 + 152*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -852 - -1549. Does 28 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(324))\/sqrt(3).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 2*q**2 - 1 - 7*q**2)*(-2*q**2 - q**3 + 2*q**2).\nAnswer: 3*q**5 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:41 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 2457?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 0 - (0 - -2). Suppose -12 = -3*s, 0*s - 3*s = -o*m + 16. Suppose m = 5*l + 4. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*q - 4*x + 1, -2*x = 2*q - 12. Solve -l + 12 = -5*c, 5*l - 5 - q = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*m - 15, -2*m + 6*m + 39 = -z. Let l(g) = -g**3 - 11*g**2 - 9*g + 5. What is l(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -17576.56.\nAnswer: 17576.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -259, -5, 5 in increasing order.\nAnswer: -259, -5, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 24\/9)*6. Suppose -n*r = 3*r + 10. Let k be ((-9)\/(-18))\/(r\/4). Is 1\/4 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22.21 (b) 1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s. Let w(v) = -v**3 + 3*v**2 + 5*v. Let o be w(4). Suppose 11*q - 60 = -9*q. Let l(n) = -5*n. What is o*y(c) + q*l(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 45*q)*(-128 + 128 + 28*q) to x*q + k*q**2 + f and give k.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3964 + 435. What are the prime factors of i?\nAnswer: 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42348 is divided by 255?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -62, 31, 266, 643, 1162, 1823?\n\"Answer: 71*d**2 - 120*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 14 = 5*h. Let a = h - -29. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63811.2 micrometers in millimeters?\nAnswer: 63.8112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 8149?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/91 - (-9)\/(-35).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5. Let v = -23.7 + 24. Which is the second smallest value? (a) i (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a hour in minutes?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f**3 + 3*f**2 + 9*f - 13. Let s(m) = -m**3 - m**2 + m - 1. Let k(z) = r(z) - 5*s(z). Let k(t) = 0. Calculate t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*i - 166*i = -18 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(77) + sqrt(77))\/(sqrt(7)*2*-5) - (-1 + sqrt(539) + 3)*-3.\nAnswer: 6 + 107*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 15, b: 3}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229 + -229. Suppose x = s - 4*z - 527 + 39, -4*z = 5*s - 2440. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028754 rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 185516*a. Let x(y) = -4*y - 48. Calculate x(l(c)).\nAnswer: -742064*c - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 - 2*f**2 + 2*f + 1. Is g(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-28)*c)\/(c**(-14\/11)*c) assuming c is positive.\nAnswer: c**(-294\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 11 in increasing order.\nAnswer: -4, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*6\/9*-1. Suppose -l*p = 3*p - 15. Solve 4*v = -5 - p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5200 and 1300?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -196, 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -999*t**4 - 6*t**3 - 12*t**2 + 12*t + 4. Let g(q) = -q**4 - q**3 - 2*q**2 - q. Let d(f) = b(f) - 6*g(f). Find the second derivative of d(z) wrt z.\nAnswer: -11916*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 - -115. Let x(d) = 43*d + 16. Let b be x(w). Let i = b + 124. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 171969 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(2 + 0 - 1)*(-3 + 1 + 1)*(-437*x + 88*x - 57*x) as r*x + g and give r.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t - 9 + 27 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 2100110202002?\nAnswer: 2100110201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -240 + 420. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 - 2*t**2 + 2*t**3 - 4*t + t**3 - t**3 - 4*t**4 as k*t + a*t**3 + o*t**4 + i*t**2 + f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3124 - 185229.7.\nAnswer: -188353.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -503 times 2229\nAnswer: -1121187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 362673 and 15.\nAnswer: 1813365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 316 - 324. Let d be ((-2 - n) + 1)*(-20)\/(-7). Which is smaller: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 41*k**2 + 157*k + 4. Is t(38) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 107 = -92. List the prime factors of b.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 97, 4, -3, -1 in increasing order.\nAnswer: -3, -1, 0, 4, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 586418090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from lppxuluujpp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + 147. Let w = 82 - 58. Let p = f - w. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 142 - 32)*(-18*g - 9*g + 0*g)*(-2*g + 0*g + 3*g)*(-3 + 4 - 3)*(1 + 5 - 2).\nAnswer: 23760*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 8*z**2 + 7*z + 7. Let a be f(7). Suppose -3*l - 3*u - a = -1, 2*l = -u + 1. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29250.0039484 - 29250. Round r to 5 dps.\nAnswer: 0.00395","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10691 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 0*g**2 + 0*g**5 + 1\/15*g**6 + 2*g - 1\/6*g**3 + 0*g**4 + 0. Find the second derivative of d(m) wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 305945 and 15480.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 12*o**2 - o - 9. Let u be s(12). Let q = u - -21. Suppose -5*i + 8 + 2 = q. Let j(h) = -h**3 - 2*h**2 + 2. Give j(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-40 + 70 - 79)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15364 and 26588.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 2*z + 0*z + (1 + 4 - 3)*(-z + 4*z - 5*z) - 4*z - 2*z + 7*z - 2*z - 1 + 1 + z - 3*z + 4*z + 0 + 0 + 2*z + 0 + 0 - 2*z - 141 - 18*z + 141.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2279445 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103395 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 7 = 5*a, -9 = 17*r - 12*r - 2*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4 + 8. Suppose -2*n = -4*g - 2 - 4, v*n - 4*g = 0. Let h be (-5 + 150)*(-1)\/(n\/6). What is h rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/20 and 38\/(-176) + 3 + 76\/(-19).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1, -2\/7, -2\/97?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.979383 meters?\nAnswer: 0.006979383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0 + 0*w**2 + 1\/54*w**3 + 1\/108*w**4 + 14*w. Solve c(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.016 from -10627364.\nAnswer: -10627363.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.190578 times 32.2?\nAnswer: -6.1366116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0419 - 35.6581. What is l rounded to zero decimal places?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2573 - 2600. Is i <= -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 7. Let h = 4 - m. Suppose 0*c + h*b + 108 = 5*c, 107 = 5*c - 2*b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 0 - 21\/28*-8. Solve 4*m = -5*f - u, -4*m - 4 = 4*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + -0.87. Suppose 0 = w + 2*w - 2*q + 20, 5*w = q - 24. Let r be 0*-4*w\/(-64). Which is the second biggest value? (a) r (b) x (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 185*r**3 - 43*r**2 + 2*r + 69. Is 11 a factor of z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79787.\nAnswer: 23, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 31*j**2 - 2*j - 49. Determine v(-5).\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2 + 159*s - 1062 = 0. What is s?\nAnswer: -59, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 926 - 812. Calculate the remainder when 680 is divided by s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12577914 is divided by 252?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 13*p - 8. Let a be x(12). Let c be 4\/(-8) + (-12)\/(-40). What is the third smallest value in c, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w - 2*n - 348, -11*n = 4*w - 12*n + 170 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -19. Suppose -3*b - 6 = -3*q, b - 5*b = -5*q + i. Suppose b*x + 8*x = 55. Solve 5 = -3*s + 4*w - 14, s - x*w + 21 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 2*b**2 + 0*b**5 - 77\/6*b**3 - 1\/60*b**6 - 7\/24*b**4 - 37 + 0*b. Differentiate s(k) wrt k.\nAnswer: -6*k**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -13.1. Which is the nearest to n? (a) -1 (b) 1\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfffffmmp. What is prob of sequence fp?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.165961ug in kilograms?\nAnswer: 0.000000000165961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10309 and 432640?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 3*i**2\/2 - 15743. Let s(w) = -w - 2. Let b be s(2). Let j(z) = z + z**2 - 2*z - 3*z. Determine b*l(q) - 3*j(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*y + 265*y = 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 31. Let u be v(13). Calculate the remainder when (0 + (-56)\/12)\/(4\/u) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 5:03 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-43605)\/1292*(-12)\/(-1)*8*(-12)\/(-288)\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3389 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -220, -2, 0.2, 1\/370?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(4\/(-90) + 1 + -1). Which is the closest to 0.2? (a) 0 (b) h (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 75 = -175. What is the highest common factor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 - v**3 + 5*v**3)*(39 + 70 - 81)*(-2 + 2 + v).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 12:56 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.682202km?\nAnswer: 1682202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 45 - 9. Let h = 5 - -23. Calculate the lowest common multiple of 3\/(3\/8) - (h + -28) and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1, 0.1, -28, -3 in decreasing order.\nAnswer: 2\/5, 0.1, -1, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5 + 2*o**2 + 5. Let n(a) = -19*a**2. Let q(u) be the third derivative of -u**5\/20 - u**2. Let d(c) = -6*n(c) + 39*q(c). What is d(i(p))?\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450711803?\nAnswer: 17, 3527, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/(d**8\/d))\/(d\/((d*d*d*d**(-1))\/d*d))**42)**25 assuming d is positive.\nAnswer: d**900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 4*z + 4. Let o(d) = -2*d**3 - 11*d - 11. Let q = 0 - 11. Determine q*n(v) - 4*o(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62971? (a) -0.14 (b) -1\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**4 + 8*n**4 - 12*n**4 + (-5*n**4 + 4*n**4 + 7*n**4)*(-3 + 1 - 1) to the form u*n**4 + w*n + t + h*n**3 + b*n**2 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 - 0.2. Let n be -5 + 5 + -5 - 4\/(-1). Let v be 1*3 + n\/(6\/15). What is the closest to v in 3\/5, y, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 42, 5, -4\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0.2 (c) -5 (d) 4 (e) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2375*p - 2291*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69415847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*n**2*o - 34*n**2 wrt o?\nAnswer: 41*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04008 rounded to three decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26292 and 262920?\nAnswer: 262920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-10 - 13) - 70?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let p(g) = -388*g. Determine p(q(o)).\nAnswer: 388*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Let h = 6 + -6.1. Which is the nearest to h? (a) -0.1 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*m. Suppose 2*h + 4*q - 48 = -2*h, m = -h + 3*q + 16. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**5\/5 + 2*m**3\/3 - m + 24. Factor z(x).\nAnswer: -(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/19218546 and 49\/216.\nAnswer: 76874184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25636 times 0.1001?\nAnswer: -2566.1636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 255 + 4*k**2 + 128 + 127.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/369 and -62\/81.\nAnswer: 3321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 2*m**2 - m**2. Let g(s) be the first derivative of -s**2\/2 + 17. What is h(g(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and 289497205.\nAnswer: 289497192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 6 - 3*c + c)*(-64 + 534 + 7 + (4 + 2 - 4)*(4 - 4 + 1)) in the form j + o*c and give o.\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.87299 litres in millilitres?\nAnswer: 21872.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b - 5*t - 3, -5*t - 39 = -4*b. Suppose 0 = -b*v - 0 + 18. Suppose j - 316 = -v*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3053274648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 312*a - 316*a. Suppose -a*c = 659 - 10753. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1984 + -1984.4. Sort 1, -18\/11, c in decreasing order.\nAnswer: 1, c, -18\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2 - 7 = w, -4*x = 8*w - 28 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 4)\/(2\/(-4)). Suppose 2*s + d = 16. Suppose u = -u + s*q + 40, 4*q - 10 = -3*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5*m + 4)*(-2*m**2 - m**3 + m**3 - 4*m**4).\nAnswer: 20*m**5 + 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 z, and 1 c when four letters picked without replacement from {c: 2, i: 2, e: 1, z: 6}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/7)\/y**(-8)*(y\/(y*y**(-13\/4))*y)\/(y**6*y) assuming y is positive.\nAnswer: y**(135\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-44) - -491*8\/30360 and -11\/12.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 - -4) + (-4056)\/(-403) + 6\/(-93). Find r, given that -29\/6*r - 1\/6*r**q + 3 + 2*r**2 = 0.\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c - 16. Let m be w(-5). Suppose -2*d + 4*s = 2*d, 0 = -5*d + 3*s + m. Solve 0 = -5*t - d*j + 13, 2*t - 3 = -j + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in 4, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let k(g) = -232*g. Determine k(b(y)).\nAnswer: 464*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -276*v**2*x - 3*v**2 - 31*v wrt x?\nAnswer: -276*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a factor of 1506526632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.029 - 0.6298. Round t to 2 decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 439 = 217. Calculate the remainder when 149 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(832))**2 + -1 + sqrt(832) + sqrt(832) + -4.\nAnswer: 16*sqrt(13) + 3323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 + i**2 + 4*i + 10. Let s(g) = 5*g**3 + 2*g**2 + 9*g + 19. Let q(n) = -4*s(n) + 7*t(n). What are the prime factors of q(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -35\/4, -0.0855, 5 in decreasing order.\nAnswer: 5, -0.0855, -0.4, -35\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212233031120 + -10?\nAnswer: -212233031130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*f**2*x + 31821*a**2*f*x + 2*a*f**2 + 2*a*f - a*x + 45*f*x - 121*f wrt a.\nAnswer: -2*f**2*x + 63642*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 460 and 22.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22565 * 0.3\nAnswer: -6769.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/13 (b) -454 (c) 601\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 - -226. Let z = -171.9 + l. What is z rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 7 = 15. Suppose -5*p - 5*g = -210, h*p - 2 = 3*g + 72. Calculate the greatest common divisor of 740 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**3 - f**2 + 8*f - 13. What is h(2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - (sqrt(68) + sqrt(68)*1))*-4)\/((sqrt(240)\/sqrt(10))\/sqrt(6) + sqrt(4)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1043 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 7:45 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, -2305\/2, 4 in decreasing order.\nAnswer: 4, 0.4, -5, -2305\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*2*sqrt(110) - sqrt(110))\/(sqrt(10) + -2*-1*sqrt(10)))**2.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 - -0.94. Let p = -0.62 + g. Which is the biggest value? (a) 1\/4 (b) p (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2. Let s = p + 1.0000005. What is s rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c - 11. Give i(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -948 - -974. Let j = -7 - -37. Suppose -i = -8*h + j. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**3\/5 - 192948*k**2\/5 + 385884*k\/5 - 38588 = 0.\nAnswer: 1, 48235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117.6 + -22.4. Let r = d - -209. Sort 3, r, -1 in decreasing order.\nAnswer: r, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + ((-3)\/6)\/((-3)\/48). Let j = m - -2. Solve -2*q + 5*i = j, 2*i = 2*q + 6*i - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4\/3 + 580*x**3\/3 + 43168*x**2\/3 + 783104*x\/3 - 3110912 = 0.\nAnswer: -186, -56, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**2 - r**2 + 2*r**2)*(43*r - 211*r - 46*r) to the form d*r**2 + p*r + v + m*r**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x + 7 - 5*x + 2*x. Let g be p(-5). What are the prime factors of g\/6 - (-16)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.002 + 7.002. Sort -7, 15\/4, -0.5, 0.4, t in descending order.\nAnswer: 15\/4, 0.4, -0.5, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 17 = 5. Suppose -5*f - 25 = 0, -4*t = -4*f + 2*f - 42. Let u(x) = -x**3 + 8*x**2 + 5. Let r be u(t). Solve -q - 4 = -r*g, d*g = 3*g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 w when three letters picked without replacement from wwjwzwwwwwfw.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 636.9071 + 0.0929. Let i = -518.1 + o. Let z = i + -130. What is z rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5\/4 - 68*f**4 - 20041*f**3\/4 - 104081*f**2\/2 - 82355*f + 414050 = 0 for f.\nAnswer: -130, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 - 6*t**5 - 2 + 2*t**5 - 2*t**5 - t**3 + t**3 + (t - t + t)*(0*t**4 + 3*t**4 - t**4) - t**5 - 2 + 2.\nAnswer: -4*t**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95046 and 30076?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*o**3 + 2\/15*o**2 - 2\/15 - 2\/15*o.\nAnswer: 2*(o - 1)*(o + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32366663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253492, 506991, 760502, 1014031, 1267584?\nAnswer: 1521167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 107 - (2882 + -2818)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z - 21. Let t(i) be the third derivative of -i**4\/12 + 2*i**3\/3 - 49*i**2 + 2. Let r(w) = 4*o(w) + 21*t(w). Let c(h) = 2*h. Calculate r(c(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 114\/(-81)*3 + (-2)\/(-9). Let u(t) = t + 5. Let o(k) = 2*k + 9. Let v(j) = -4*o(j) + 7*u(j). Give v(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 34*v - 4680. Determine n(-54).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6\/11, -0.3, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154638.\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 353 - 353. What is the closest to x in 2, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1982 - 1927. What is the remainder when 125 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 981*d - 17 = -3*b + 976*d - 58, 141 = -12*b + 3*d for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1011100100100001?\nAnswer: -1011100100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15)*(30\/9)\/(15*(-10)\/1350)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37335 and 11491713?\nAnswer: 57458565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 12.5, -0.1, -2, -3, -32?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 1, -1272682 in ascending order.\nAnswer: -1272682, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -25. Let d = -10.1 - -2.1. Let n = d - -10. What is the third smallest value in c, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11670*u + 187. Let n(a) = 3890*a - 70. Determine -3*c(l) - 8*n(l).\nAnswer: 3890*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 8*b - 173. Let k be o(10). Solve 3*w = -2*l + k*l + 29, 4*w = 4*l + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/9, 5, -140, -0.1, -2\/11, -404?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 4222119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 2\/99 (b) 117 (c) 1\/3 (d) -3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1886 = -2414. Let h = v - -15037\/14. Let i = -18665\/8 - -2324. What is the common denominator of i and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 741, 1701, 3017?\nAnswer: 4689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + 7*j)*(j**3 - 3*j**2 + 3*j**2).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + c = -30, 5*v - 15 = -3*c + 111. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-27) - (-22)\/63. Let o be 1349\/437 - -1*-3*1. What is the biggest value in o, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 19 = -2*p - 5*u, 2*p + 2 = 4*u. Let w be ((-9)\/2)\/(p\/1248). Let t = w + 3302. Round t to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-336)*8)\/(7\/(-12)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 212*r**2 + r - 413*r**2 - 2 + 204*r**2 with respect to r.\nAnswer: 6*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1)*34\/1. Let q = h - -21. Let t = q - -13. What is the second biggest value in 0.2, 0.5, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 12. Let q be h(5). Let c be ((-75)\/15)\/((-1)\/(-1) - q). What is the fourth biggest value in c, 3, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (95 + 10)\/(-15) - -27. Solve 22*x = 26*x + n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.852907 micrometers?\nAnswer: 852.907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-79)\/(-4) + (-9)\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 10*f + 11. Let j be s(8). Let c = j - 28. What are the prime factors of ((-2 - -3) + -567)*c\/2?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/2)\/(2\/4). Let s(n) = -n**2 + 29*n + 87. Let x be s(23). What is the greatest common divisor of h and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6383.\nAnswer: 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -199*u**3 + u**2 - u - 1. Suppose 0 = -4*b - 20, 2*y + 0*b - 4*b - 18 = 0. Let o be q(y). Let t = o + -67. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 3*z - z)*(-2*z**2 + 1 + z**2 - 3 + (21 - 16 - 178)*(-5*z - z**2 + 5*z)) in the form a*z + w*z**3 + h*z**2 + i and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8898713 (base 10) in base 14?\nAnswer: 1278d85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 5*h - 545. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 29100001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*h + 5*o - 1, -2*o = 3*h - 10. Suppose 5*n = 4*p + 34 + 11, -h*p = -2*n + 16. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -494, -2, 1 in descending order.\nAnswer: 3, 1, -2, -3, -494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001100111000 + 1011111101?\nAnswer: 111011000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -1.8. Suppose -1 + 10 = 3*y. What is the closest to m in 0, 4, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -406, -1, 0.2, -2, -0.1, 2\/5 in decreasing order.\nAnswer: 2\/5, 0.2, -0.1, -1, -2, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2373 - -11863\/5. Suppose 0 = 4*a + 10 - 30. Sort a, k, -4, 4.\nAnswer: -4, k, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - 77*v - 31. What is y(-38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l. Let i(u) = 5*u - 11. Let h(j) = 7 - 3*j - 1 + 0. Let w = 16 + -5. Let g(s) = w*h(s) + 6*i(s). Give g(x(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*h - 41*h - 262 - 146 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -240 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1662, 1661, 1660, 1659?\nAnswer: 1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - 4*z - z)*(-43 - 1 - 8 - z) + 5*z + 3*z**2 - 5*z to p + i*z**2 + t*z and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*h - 45*h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 235482340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 31.2, 9, 0, 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/89)\/r)\/r**(-5))\/(r**(-3)*r*r*r*r**(1\/2)\/r*r*r))**(-2\/5) assuming r is positive.\nAnswer: r**(-449\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 4*r**2 - 4*r**3 - 2 - 4*r + r + r. Suppose 40*o - 47*o = -14. What is n(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -2*p**6\/3 + 2*p**3 - 6. What is the third derivative of u(i) wrt i?\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -21. Which is the second biggest value? (a) f (b) 0.5 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 2, b: 1, l: 5, j: 1}. Give prob of picking 1 l and 1 b.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/3 - (-4)\/(-6). Let g(s) be the first derivative of 7*s**4\/4 + 2*s**3 + 5*s**2\/2 + s + 144770. Let d(t) = -t**3 - t**2 - t. What is p*g(v) + 6*d(v)?\nAnswer: v**3 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312563.\nAnswer: 3, 7, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2151?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, x: 5}. Give prob of sequence xee.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 5:54 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/2)\/((w*w**(-15))\/w*w) assuming w is positive.\nAnswer: w**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 14*k**2 + 1 - 14*k**2 - 4*k**3 - k + 3*k**3. Let i be j(0). Is i equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w - 6. Calculate r(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**3\/3 + 5*k**2 - 27*k + 5. Let t be b(5). Let q(z) = -2*z**3 - 3*z**2 - 3*z - 3. What is q(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - g)*(-5*g + 4*g + 3*g) + 7 + 5*g**2 - 7 - 5*g**2 + 2*g**2 + 2*g**2 + 4*g**2 - 3*g**2 + 0*g**2 + (-4*g + 4*g + g**2)*(2 + 8 - 1).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1056223 or 1056231?\nAnswer: 1056231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002720403 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: f (base 16) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 44, 96, 152, 212?\n\"Answer: 2*h**2 + 46*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/147 and -65\/189.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258614.\nAnswer: 2, 3, 7, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 220 = 78 - 208 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4\/13 - 7520*r**3\/13 + 7524*r**2\/13 + 7520*r\/13 - 7522\/13 = 0.\nAnswer: -3761, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 2*n - 2*n)*(-2 + 3 - 2) + 6*n**2 - 5*n**2 + 5*n**2 - 1.\nAnswer: 4*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 14. What is the remainder when d is divided by (6 - 4) + (-1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - (-2 + 12))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 57. Let c(n) = 4*n - 9. Let s(i) = -8*i + 18. Let l(j) = -11*c(j) - 6*s(j). Calculate the remainder when k is divided by l(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 1. Let o be 100\/125*10\/(-4)*2. Determine r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 - -4. Let l = -109 - a. Solve 2 - l = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-14 + 10)) + 0 + 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -10\/7 (b) -1 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a**4 - 6*a**3 + 6*a**2 + 6*a - 16. Let m(i) = 24*i**4 - 17*i**3 + 17*i**2 + 17*i - 47. Let w(d) = -6*m(d) + 17*p(d). Differentiate w(o) wrt o.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, -0.3, 3233, 1\/6 in decreasing order.\nAnswer: 3233, 0.4, 1\/6, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (5 + 0 + -7) - -15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - 2*(sqrt(19) + sqrt(475))) + sqrt(19) - (sqrt(19) - (sqrt(684)*-3 + sqrt(684))).\nAnswer: -23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**7\/2520 - j**6\/720 + j**5\/120 + 5*j**4\/24 - 104*j**2. Let o(i) be the second derivative of b(i). Calculate o(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g = -5*t - 324, 3*g + 324*t = 326*t - 81 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 = -70*r + 609 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*b - 87 - 747, 3*v + 489 = 5*b. Let u = v - -298. List the prime factors of u.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 0*z**3 + 0*z**2 + 7*z**2 - 3*z**2 + 2*z**3 + 4*z - 4. Let a(h) = -h**2 - h + 1. Let w(o) = -o**2 - o + 4. Let c be w(0). Calculate c*a(k) + x(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 - 120110130?\nAnswer: -120110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 3:46 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 7 = 3*p - 0, -5*c - 4*p + 6 = 0. Suppose 2*i - 9 = s, 3*i + 6*s = c*s + 19. Suppose 2*t - i*t = 9. Put 4, 0, t in ascending order.\nAnswer: t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112220 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-4)\/2 - 6 - 288\/(-28). Factor 2*j**2 - 2 - 2\/7*j**3 + l*j.\nAnswer: -2*(j - 7)*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaruppparuppi. Give prob of picking 2 u.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - d + 2. Let t be u(0). Solve -t = -0*l + l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1975 divided by 73.\nAnswer: 1975\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2 - 10. Let x(g) be the second derivative of 1 - 93*g + 2*g**2 - 1\/6*g**3 + 1\/12*g**4. Determine x(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -a - 1, n - 11 = -5*a. Let v be -1*1*(1 + 4). Let p(j) = 2*j + 5. Let o(w) = w + 1. Determine n*p(q) + v*o(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1. Let y = 33.4 - 33.5. What is the biggest value in y, q, -66?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10 = 2. Factor 20*p**2 + 11*p - 148*p**4 - 5*p**3 + 143*p**f + 9*p.\nAnswer: -5*p*(p - 2)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -710 (b) 1 (c) 2\/5 (d) 0.036 (e) 3\/5 (f) -0.3 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26, 88, 194, 350, 562, 836?\n\"Answer: x**3 + 16*x**2 + 7*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/18 and 31\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6435836951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-4)*16\/(-40)*5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/4 (b) 832749 (c) 4 (d) 0.4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 - 4452*l - 419846. What is k(-86)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(425) + sqrt(425))*2)**2 + (6*3*sqrt(425) - sqrt(425))**2 + (6*(sqrt(17)*2 + 4))**2 + -1 + (0 + sqrt(833))**2.\nAnswer: 496*sqrt(17) + 133485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 1496.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -e?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15604763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/13)\/z)\/z**7 assuming z is positive.\nAnswer: z**(-100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 127, 300, 479, 670, 879?\n\"Answer: p**3 - 3*p**2 + 175*p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-2)\/((-4)\/(-2)). Let o = -10 - -11. What is the units digit of 5 + (s + o - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, g: 2, l: 3, o: 4}. Give prob of picking 1 b, 1 g, 1 l, and 1 o.\nAnswer: 48\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 12, -3*j = -7*x + 3*x - 25 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20311.136 rounded to 0 dps?\nAnswer: 20311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q - 5. Let l be 0 - ((-5)\/2)\/(6\/(-24)). Let t(o) = 22*o + 16. What is l*u(n) - 3*t(n)?\nAnswer: 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.264 and -5?\nAnswer: 86.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 g when four letters picked without replacement from {r: 4, g: 2, b: 1, n: 6}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 22 + -177 + 133?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2 - 7 + 5*q + 7. Let s(p) = -4*p + 2. Suppose -g + 0 + 3 = 0. Suppose -c + 5 = 2*v - 3, g*v - 5*c + 14 = 0. What is v*i(o) + 3*s(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111141 and 1165?\nAnswer: 555705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from gospovuoggooovv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4807\/4 - 1202. What is the smallest value in -60, z, 1\/2?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 8 + 3. Let d(x) = x**3 - x**2 - 1. Let l(z) be the second derivative of z**5\/5 - 5*z**4\/12 - 3*z**2\/2 + 12*z. Determine j*l(i) + 5*d(i).\nAnswer: i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23017519717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -254365 (base 9) in base 5?\nAnswer: -14412441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4769591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2650 and 19345.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*z = -29, 9*b - 31 = 24*b - 10*b + 9*z for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*a, 0*i = 2*i + 3*a + 1. Solve -18 = -9*k + i*k - 4*b, k - 5*b = -8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11457328 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbrbmmarbm. Give prob of picking 1 a and 1 m.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 166374067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 20, 65, 140, 251, 404?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 + 169*z**2 + 47*z - 428. Calculate q(-56).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -2 (b) -0.39 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 3*g**3 + 3*g**3)*(0*g + 3*g - 5*g) - 41*g**4 + 135*g**4 + 40*g**4 - 6*g**4 + 0*g**4 + 0*g**4.\nAnswer: 124*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 890233.8 tonnes?\nAnswer: 890233800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q**3 - 2*q**2 - 7*q + 8. Let v(m) = -19*m**3 + 4*m**2 + 15*m - 19. What is -7*a(i) - 3*v(i)?\nAnswer: i**3 + 2*i**2 + 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 50*s**2 - 100*s - 339. Calculate b(52).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b - 30. Suppose 4*o + 22 = b. Let x(s) = -21*s + 5. Is x(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62015.7 - 65586.789. Let o = 3391.36 + p. Let n = 180 + o. Round n to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/526 - -541\/2630. Let o = -22.9 - -20. Let i = o - -1.9. What is the closest to i in 0.06, s, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/45088 and -53\/67632.\nAnswer: 135264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3080449208?\nAnswer: 2, 37, 587, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*4*1\/16. Factor 0 - 4\/11*k**4 + 0*k + a*k**2 - 2\/11*k**3 - 2\/11*k**5.\nAnswer: -2*k**3*(k + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q - 12. Calculate c(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2610 + 5315\/2. Let b = -298 - -902\/3. What is the common denominator of b and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -399 + 411. What is the remainder when 260 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/9 - 5*z**2\/9 - 8*z\/9 + 16\/3 = 0. Calculate z.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 - 129. Suppose 2*m - 3*w - 42 = 2*w, p = -4*m - w + 62. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-33) - (-4998)\/22. Let i be (-8)\/(-16) - n\/(-2). Suppose 3*w - i = w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/136, -0.5, 2\/21, 0.01, -4, 3.\nAnswer: -4, -0.5, 0.01, 3\/136, 2\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*n = 90, 0*n = 2*n. Suppose -s - 5*b + 4 = 0, -1 = s - b - 5. Suppose -10*w + s*w + z = 0. Solve -t + 4 - w = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -495 * 0.314\nAnswer: -155.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - r**2 + 3*r - 2. Let t(y) = -y**2 - 4*y**2 - y**3 + 3*y**2 + 3*y - 2. Let l(v) = 4*t(v) - 5*x(v). What is l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, r: 7}. Give prob of picking 1 r and 1 x.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8467341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 13\/3*d**3 + 0*d + 0*d**2 - 195. Let k(x) = 14*x. Determine o(k(y)).\nAnswer: 2548*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 10. Suppose l*a**2 - 10*a**2 + 6*a**2 + 15 + 20*a = 0. Calculate a.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbt when three letters picked without replacement from iibtigiiiigbbhbb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*s = -4, s - 5 = -3*f + 1. Let v(b) = -2 + 4*b + 2 + 1 - f. Let r(o) = -o. Calculate -6*r(m) - v(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 2*f**2 - 2*f. Let m(a) = -2546*a**4 + 8*a**3 - 8*a**2 + 2772*a. Let c(l) = m(l) + 4*s(l). What is the second derivative of c(b) wrt b?\nAnswer: -30552*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 16, 1 = 3*n + 4*x - 18. Let h be -2 - -1*(-27)\/(-12). Is h at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.73623 kilometers to nanometers.\nAnswer: 24736230000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 785 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b - 1. Let m(n) = -65*n + 15. Let z(w) = 40*i(w) + 3*m(w). Let o be z(2). Let y(d) = -d**3 + 16*d**2 - 15*d + 8. What is the units digit of y(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (sqrt(112) - -6*(sqrt(112) + 2)))*1.\nAnswer: 30 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 - 6945886*a\/3.\nAnswer: -2*a*(a + 3472943)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u - 32*u = -7020. What is the highest common divisor of 240 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 23.67. Which is the second smallest value? (a) d (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.398545 litres to millilitres.\nAnswer: 7398.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((3 - -9) + -1 + 4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/(-12276)*-62)\/((-24)\/33)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10419*h*i*j - 18*h*j**2 - 30*h*j + 2*i*j**2 + 741186*i*j + 2*i - 6*j**2 wrt h.\nAnswer: 10419*i*j - 18*j**2 - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29337 + -645305\/22. What is the common denominator of x and 73\/138?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m + m**2 + 2 + m**2 + 3 - 3*m**2. Let b = -19 + 37. What is the remainder when b is divided by f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 q, and 1 h when three letters picked without replacement from {h: 2, z: 1, q: 1, x: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 28*l + 31. Let g be z(5). Let t = 86 + g. What are the prime factors of t?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 5*g + 120. Suppose -5*k = -4*v - 92, 5*v - 2*k + 65 = -33. Calculate the lowest common multiple of t(8) and v*2\/(-4) - 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*w - 64*w + 9 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*p - 500, 182 = -2*o + 4*o + 2*p. What is the remainder when o is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 0*b**3 + 10*b**3 + 4*b**3 - 15*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287398953 is divided by 1622?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17 and -0.134?\nAnswer: 0.02278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*m - 10 - 21, 0 = 3*x - m - 78. Suppose 2*b = 4*u + 546, -u + 0*u + 1101 = 4*b. What is the highest common factor of b and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106 - -106.5. What is the nearest to 0.1 in -10\/19, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 378 by 24149.\nAnswer: 378\/24149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - b + 9 = 5*x, -b + 3 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 7017, 3.\nAnswer: 5\/3, 3, 7017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110\/13, 3\/4, -2, -2\/9, 1, -0.9 in increasing order.\nAnswer: -2, -0.9, -2\/9, 3\/4, 1, 110\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/69 + 43680\/313950.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-518)\/(-37)*((-24)\/(-21))\/2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 88 - -17 - 90.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2174108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/121 - -373\/605. Suppose -1 - 1 = k. What is the third biggest value in k, 37, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.26, 2\/21, -428, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92048 < 2117124\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2015 + -1993. Solve -w - 10 = -8*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.05 - 11. Let w = o - 0.101. Let u = 0.061 + w. Round u to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 119*b**2 - 96*b - 2. Is d(-2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*i**3 + 16*i + 1271 wrt i.\nAnswer: -327*i**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/286*0*1. Let t = 5 + -2. Suppose 0 = 2*n + t*u + 8, -4*n - u = 2*u + 4. Solve -5*f - 21 - 5 = 4*q, -f + q + n = j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g + 23. Calculate the remainder when (-79)\/(-9) - (-4)\/18 is divided by q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2972\/(-1716) - -8*(-10)\/(-240). Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 30 - 0. Let s be (-1 + 0)*6\/(-2). Suppose -48 = -h - s*h. What is the smallest common multiple of h and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-265)\/106*(-4)\/(-8))\/((-25)\/(-10))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*21\/60*16\/(-28).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -217295 divided by 29\nAnswer: -217295\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = c + 4*z - 8, -c - 2*z = -14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 17*y + 8. Let r = -5 + -2. Let d be f(r). Let s = 308\/5 + d. Which is the second biggest value? (a) s (b) 1\/6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqh when three letters picked without replacement from qqhqqgqhhqhqhgh.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -46d3?\nAnswer: 46ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 21*f. Let a(d) be the second derivative of 0 + 0*d**2 - 1\/12*d**4 - 7*d + 0*d**3. Determine a(o(n)).\nAnswer: -441*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28051.52538 rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -10*f - 78 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5650*a + 9. Let m be d(0). Suppose -2*n - 135 = -7*n. What is the highest common factor of m and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/50 + 16534\/(-50). Let v = 331 + m. Is v greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12058, -12056, -12052, -12046, -12038, -12028, -12016?\n\"Answer: x**2 - x - 12058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/11 + -32\/55. Let o = -608 + 613.1. Let w = o + -10.1. Which is the closest to n? (a) w (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -23408?\nAnswer: -23412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*k + 48, 5*k + 4*m = 4*k - 8. Let r = k - 6. Suppose -r*y + 0*y + 48 = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b**3 + 14*b**3 - 29*b**3 - 14 as n*b**2 + x + w*b**3 + j*b and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 8\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 0.3, 0, -0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (6 + -6 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50649?\nAnswer: 3, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 121\/22 + 1 + (-1)\/2. Suppose -5*r + 16 = u. Suppose l = 5*i + 6, 7*l - r*l - 5*i - 30 = 0. What is the remainder when l is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -957793 - -1?\nAnswer: -957792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 14*f**2 - 234505*f. Let h(x) = 67*x**2. Calculate o(h(w)).\nAnswer: 62846*w**4 - 15711835*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65416 is divided by 146.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**3 - 524*k**2 - 3036*k - 4500 = 0.\nAnswer: -125, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.701 to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003338975 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 16, -76 + 50 = 5*j + 4*g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k + 4. Suppose -d = -5 + k. Let q = 19 - 7. Calculate the greatest common divisor of d and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305662, -611220, -916780, -1222342, -1527906?\nAnswer: -1833472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let r = 133.1 - 132.1. Which is the biggest value? (a) j (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -13. Sort 5, -1, g.\nAnswer: g, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 25, 48, 79, 118, 165?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -147.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3607969 nanometers to millimeters.\nAnswer: 0.0000003607969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**2*o*z**2 + g**2*z**3 + g**2*z**2 - 2*g*o*z**2 + 59*g*o*z - 22*o*z**3 wrt z.\nAnswer: 6*g**2 - 132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**3\/3 - b. Let j(r) = 188*r - 298*r + 148*r. Calculate j(n(k)).\nAnswer: 76*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 6*d**5\/11 - 51268*d**4\/11 + 55944732*d**3\/11 - 148941048*d**2\/11 + 130252942*d\/11 - 37205364\/11 = 0.\nAnswer: 2\/3, 1, 1281, 7261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -110, -161, -210, -257, -302?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237469813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*y - 8371 + 755663. Is 73 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2 = -8. Let i be (7 + -1)*10\/(-20). Let z = c - i. Is z at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1062, -68, 4, -4, -249 in descending order.\nAnswer: 1062, 4, -4, -68, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 738584 divided by 16786.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3\/20, 28, -4 in ascending order.\nAnswer: -4, -2, -3\/20, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3233044 (base 5) in base 7?\nAnswer: -320341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/35 + 1 + 15441\/21?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i = 23*i + 29. Let u = 41 - i. Solve 6*h - 3*h = -u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**6\/3 + 8*t**5\/5 - 3*t**4 + 8*t**3\/3 - t**2 + 507. Suppose h(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*s - 418 = 0, 1051 = 5*r - 8*s + 10*s. What is the remainder when r is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(4*-2*sqrt(12)))**2.\nAnswer: 13\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 823.7 + -840. Let k = -26.7 + 12.4. Let f = k - n. What is the closest to f in -2, -1\/20, -2\/11?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -297 (c) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 4 (c) 277187 (d) 1\/4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 3:00 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**12*p)\/p)\/(p**3\/p) assuming p is positive.\nAnswer: p**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35774 + -71549\/2. Let l = 0.03 - -0.37. Which is the closest to -2? (a) d (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*f**2*r**2 + 2*f**2*r - f**2 - 30*f + 5507*r**2 - 1223 wrt r?\nAnswer: 32*f**2*r + 2*f**2 + 11014*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205701 - 205701 + 5431*n**2.\nAnswer: 5431*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 28. Suppose -3*h + a*p - 9 = 0, -3*h = -7*h - 2*p - 12. What is the common denominator of 2\/h*29\/(-12) and 67\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28260 and 22305?\nAnswer: 42022620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 10*c**3 + c**2 - 8. Let s be b(2). Suppose 24*y = s - 28. Solve -2*u - t - 1 = 0, y*u + u - 2*t + 12 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -11*n**5\/20 - n**3\/3 + 4*n**2 + 18*n + 43. Let u = 4 + -2. Let a(f) = u*f + f - 2*f. Give a(q(r)).\nAnswer: -33*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (4 - 10 - 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -245*p**2 - 3674*p + 17. Determine w(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y - 10. Let h be 6 - y\/((-5)\/(-2)). Solve -h = 5*u - u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -8. Suppose j + r*j - 105 = 5*v, -3*j + 105 = 3*v. What is the common denominator of -64\/3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, s: 2, u: 2}. Give prob of picking 3 g and 1 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + (12 - -19) - 19?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.31 - -16.69. Let y = v + -17.7. Let s = y + 0.70000003. What is s rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-7) - (-300)\/(-14). Is (-557)\/(-3) + 14\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (19 + -1 + -7) - 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -8, 0.3.\nAnswer: -8, -5, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111063 plus -0.3?\nAnswer: 1111062.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567, -2456, -5605, -10014, -15683, -22612, -30801?\nAnswer: -40250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -163*n**6\/120 + 148*n**5\/5 + 3325*n**2. Find the third derivative of i(l) wrt l.\nAnswer: -978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41\/4 - -10. What is the nearest to x in 2\/3, 5, 8\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080572?\nAnswer: 2, 270143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*d - 17*d - 17*d)*(-3*d**3 + 4*d**3 - 5*d**3) as p*d**4 + q*d**2 + a + b*d**3 + s*d and give p.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 6*g**2 - 2*g + 7. Let z be f(-6). Let i = z - 13. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -25*q**3 + q**2. Give u(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(-5 + (sqrt(847) - -1*sqrt(847))) + (0 + sqrt(847) + 4)*3 + 1)**2.\nAnswer: 484*sqrt(7) + 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1620550 + 3?\nAnswer: -1620545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -3. Let n(i) be the first derivative of -8*i**3\/3 - 7*i**2\/2 + 2*i + 13304. Let w(m) = 7*m**2 + 6*m - 1. Calculate u*n(k) - 7*w(k).\nAnswer: -k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.43? (a) -2\/19 (b) 9 (c) -2.2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -436, -865, -1288, -1699, -2092?\n\"Answer: z**3 - 3*z**2 - 427*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*n + 4*c + 33, -50 = -5*n + 5*c. Let m(i) = i**3 - 6*i**2 - 6*i + 2. Let s be m(n). Solve -5*u - s = -0*t - 3*t, -t + 3 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 24 = 5*i. Suppose -4*g + 3 = -13. Suppose i = g*q - 18. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 12:55 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 310, 621, 962, 1279, 1518, 1625?\nAnswer: 1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 336 + -239. Let p = -51 + o. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 20 = -5*z, -4*d + 4*z - 16 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 3*s**2 + 2*s - 6. Let v be q(2). What is the closest to -2 in 0.3, -7, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -44*l**3 - 6*l**2 - 47. Let d(i) = -i**2. Let c be (12\/(-8) + 3 - 1)*-2. Let v(a) = c*w(a) + 6*d(a). What is the first derivative of v(m) wrt m?\nAnswer: 132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -523081.63 to the nearest one hundred.\nAnswer: -523100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = -j - 2, -3*j = 5*b - 17. Let x(p) = -2*p**2 + p - p + b*p**2. Let c(k) be the second derivative of -7*k**3\/6 + 3*k. Calculate c(x(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -18*x - 149. Let q be j(-8). Let d(p) = p**3 + 4*p**2 - 4*p + 13. Let m be d(q). Solve 3*l + 2 = m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -107858, -108588, -109318, -110048, -110778?\n\"Answer: -730*k - 107128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.41 + -4. Let t = 0.59 + q. Which is bigger: t or -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 792991*m**2 - 792992*m**2 + 2*m. Let y(h) = 2595*h**2. What is y(u(a))?\nAnswer: 2595*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93440 is divided by 48.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-516)\/(-20425) - 5\/(250\/(-4)). What is the nearest to -2\/5 in -0.8, -3, u, 7?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2\/5, 2\/3, 862073, 4 in descending order.\nAnswer: 862073, 4, 2\/3, 2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**4\/4 - 2*q**3 - q**2 - 10*q - 1. Let l be m(7). Suppose -6*i + l = -i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 plus -37?\nAnswer: -36.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 - 26*x + 22. What is the remainder when 46 is divided by i(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -2*c**4\/3 + 3*c**3\/2 + c - 8. Let y(b) be the first derivative of m(b). What is the second derivative of y(d) wrt d?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3930 - 685 - 3*l - 139 + 2*l.\nAnswer: -l + 3106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1208, 1213, 1228, 1259, 1312?\n\"Answer: i**3 - i**2 + i + 1207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-1\/32) assuming g is positive.\nAnswer: g**(-1\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) -51 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 4*o - 2*o)*(-2 + 3*o + 2) - o**2 + 4*o - 4*o - 3*o**2 + 4 - 4 to the form v*o**2 + h*o + d and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:34 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 813189683 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w**2 - 6*w + 7. Suppose -4 = 2*t, -2*j + 7*j + 5*t = -5. Let o(u) = u**2 + u - 1. Calculate j*g(p) + 6*o(p).\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8428 and 0.5.\nAnswer: -0.4214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*t = 19, 5*h - t = 3*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192787 is divided by 6883.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316 divided by 4.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y + 214 + 141 = -61 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + -7 - (3 - 150). Let l = a + -140. Let z be (-3)\/((-2)\/((-16)\/(-6))). Solve 6 = l*q - z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -4 - 3780\/340) + 34454\/391\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*f - 474*f**2 - 119*f + 135*f**2 - 2423*f**2 to the form g*f + k*f**2 + n and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 12 - 16) + 7 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13949 is divided by 819?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69 and 193905?\nAnswer: 4459815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34808 and 304?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 7. Find s such that -3*s**2 - 2 + 2*s + 2*s**c - 5*s = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40906 or -40907?\nAnswer: -40907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.08, 3497, 0.21, 5?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvz when three letters picked without replacement from zmqlvms.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 38*p + 183 = 33*p, 0 = 2*p - 10. Solve c - 28 = 8*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1627137 is divided by 188?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 + 0 = -3*v. Is 4364\/10*v\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1066\/1560 + 1*(-3)\/4.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + ((sqrt(180)*-2 - sqrt(180))*-3 + sqrt(180) + -5 + -1*sqrt(180) + 3)*-1 + 0)**2.\nAnswer: 432*sqrt(5) + 14596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**3 - 7*w**2 + 7*w - 8. Let d be (-18)\/(-3) - 12\/4. Suppose o + d = 10. Let c(r) = 5*r**3 - 6*r**2 + 6*r - 7. What is o*c(x) - 6*l(x)?\nAnswer: -x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -5)*5\/(-2 + -3). Suppose -p = g - 20, -3*g + 28 = -t*p + 94. What is the remainder when 311 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 286895785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlcl when four letters picked without replacement from jcjjccjljcljc?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 59 = 46. Calculate the greatest common divisor of 147 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*y + 20, 4*y = -1466 + 1490 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 + -15. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 105*y**2 + 588*y + 594. Determine l(99).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5427665273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433575 is divided by 108393.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30689*(1\/(-2) - (-72)\/48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8 = 10. Let k be i\/(-5) - (-1 - 92\/(-20)). Let t be (1 - (-10)\/k)*-4. Solve t*j = 3*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -4 (c) -5\/4 (d) -1\/3 (e) 15\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-7)\/s)*s*s\/(s**(-11)*s))**(-4\/3) assuming s is positive.\nAnswer: s**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 - 2*v. Let w be c(-1). Let m(f) = 3*f - 2. Give m(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 79888028 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12815770?\nAnswer: 2, 5, 11, 116507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g - 18. Let r(b) = 36*b + 160. Let h(t) = -28*l(t) - 3*r(t). Calculate h(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -318 bigger than 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddpdddpdpddddddpdddp. Give prob of picking 2 p.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13401200.\nAnswer: 2, 5, 33503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -2\/3*c**3 + 0*c - 1\/2*c**2 + 1. Determine m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v - 205 + 709 = 29*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/21)\/(14\/21). Which is the third biggest value? (a) 3 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 1:33 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*p - 11 = 0, -5*w + p - 16 + 7 = 0. Sort 5, 2, w in descending order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 223?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21286949 rounded to four decimal places?\nAnswer: -0.2129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, k: 4, s: 4, n: 9}. What is prob of sequence ss?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 456213267368.\nAnswer: 456213267387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ae - 51?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a factor of 163768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18666 greater than or equal to 18664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*i - 0*i + 593 + 271. Calculate the remainder when 395 is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-1 + -1 + -3). Suppose -9*r = -2*r - 21. Solve 5*x = -j, -r*x - 4 = i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536 = -101*k + 13*k + 520 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 34. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d = 74. List the prime factors of d - (1\/(-4) + (-21)\/12).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 41, 59, 73, 83, 89?\n\"Answer: -2*r**2 + 28*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 2. Let a = -20 + 21. Let n be d(a). What are the prime factors of n + (-4)\/1 - -52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1499)\/(-3) + (-28)\/(-84)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-33)*1\/(15\/54).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129.9984 + -130. What is j rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 6 = 6*w - 14, -2*w - 3*g = 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(204)*6 - (sqrt(204) + sqrt(204) + (sqrt(204)*1*6 - sqrt(204))))\/(sqrt(12) + (sqrt(588)*2 - sqrt(588)) - sqrt(36)\/(sqrt(9)\/sqrt(3))).\nAnswer: 25*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 2*x + 2. Let z(y) = 9*y**2 + 11*y - 11. Let g(w) = -5*d(w) - z(w). Let c(t) = t**2 + t + 1. Give -2*c(l) - g(l).\nAnswer: 2*l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytituittyi. Give prob of sequence yiui.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 100706199 divided by -3\nAnswer: -33568733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 18\/11, 2, 0.34?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*s + 9*s. What is the remainder when 42 is divided by (s\/2)\/((-27)\/(-270))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = v + 19, 0 = 3*v + t + 2*t + 21. Let m(d) = d. Let c(o) = -2*o**3 + 2*o**2 + o + 2. Let r be c(2). Let h be m(r). Are h and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**3\/3 - 1073900*k**2\/3 - 3221686*k\/3 - 2147788\/3 = 0.\nAnswer: -536947, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(847) + (sqrt(847) - (2 + sqrt(847) + -1 - sqrt(847)))**2 - sqrt(847)) + 0 + 6*(-1 + sqrt(847)).\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(2\/(-10))\/(76\/(-76)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 48\/10*(-3025)\/19239*-53?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42101 by -42101.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 769\/23 - 17237\/552. Let w = -1272 + 10161\/8. Let f = w + t. What is the closest to f in -4, -1\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 + 133*q**2 + 105*q - 909. Give i(-66).\nAnswer: -3483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1403539753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -22?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -6 + (-1 - 14) + 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1632 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 66\/((150\/215)\/(-6))*60\/(-24). What is the highest common factor of a and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30912)\/(-588) - 52)*(-315)\/(-95)?\nAnswer: 36\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52631*t**5 + 4*t**4 + 283801*t - 3.\nAnswer: -1052620*t**3 + 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19886*m**3 + 4*m**2 + 27709230*m wrt m?\nAnswer: -119316*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 20. Let a be f(15). Suppose y = -2*y - 5*g - 398, 5*y + 2*g + 676 = 0. What are the prime factors of 16\/a - y\/10?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/102*144\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 136\/45 + 27\/(-9). Let r(l) be the second derivative of l - 1\/60*l**5 + 1\/18*l**3 + g*l**6 + 1\/6*l**2 - 1\/12*l**4 + 0. Solve r(j) = 0 for j.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((342\/(-19))\/(-18))\/(0 - -4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 12*t + 18. Does 9 divide w(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, b: 1, r: 2, g: 4, n: 1, i: 1}. What is prob of sequence ngv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1266048582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 234, 946, 2138, 3810?\n\"Answer: 240*t**2 - 8*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (898\/7633)\/((-24)\/(-85))\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29446441 by 1.\nAnswer: -29446441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1979*4.\nAnswer: -7916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25 - 16*m - 5*m + 7 - 5 wrt m?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1377) - sqrt(1377)*1) + sqrt(1377)))**2.\nAnswer: 12393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 7 - (-2 + (-13 - -21)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.50261 plus 0.1649?\nAnswer: -51.33771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 19*j + 171 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -16. Suppose 0 = -k*g + 46 + 374. Let a = g + -2. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*q = 3*u - 144*q - 9966, -3*q = 6*u - 19953. Is u 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 -495, -476, -445, -402, -347?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 3:34 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67609262 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 ten thousands digit of 684699?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -3 + (-10 + 9 + -15 - (-21 - 1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1611517 * 9\nAnswer: 14503653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 304700 - -4?\nAnswer: 304704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 27*f - 25. Let j(v) = 53*v - 44. Let w(l) = 3*j(l) - 5*m(l). Let k(s) = -s - 6. Let a be k(-8). Does 6 divide w(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12315 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 130350097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -63750 to the nearest one thousand.\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 29*l + 12. Let p be m(6). Suppose 12 = -3*f + p. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (736\/(-1380))\/(68\/(-2550))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*v = -55, 0*j = -j + 3*v - 47. Let a = -18 - j. Let c = 84 - 38. What is the remainder when c is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 541 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:45 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4 + 0*v**2 - 3*v**2 + 2*v**2. Let t be c(0). Let z(d) = -3*d + t*d - 1 + 3. Give z(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/(-6*(-1)\/(-2)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2*i**2 + 7)*(3 + 28*i**2 - 3).\nAnswer: 56*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1818e0 (base 16) to base 6\nAnswer: 53503132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.53302024 to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-1)\/(-2))*(-7290)\/8748.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {z: 1, g: 1, c: 11, q: 5, s: 2}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(240)*-1 - sqrt(240))*-2)\/(-1*sqrt(1728)))\/((-4*sqrt(60))\/sqrt(6) + 2*sqrt(90) + sqrt(90)))**2.\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80867131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*l = 5*j - 2, l = 4*j - 14. Solve -j*u - 13 = -4*t + 11, 3 = -u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4930907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19, 77, -3, 1.\nAnswer: -3, 1, 5, 19, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gff when three letters picked without replacement from ffgf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r - 26902 = 5880. Calculate the remainder when r is divided by 322.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57648496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20241 is divided by 2014.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*o**2 - 4*o**4 + 0*o**4 - 96*o**3 + 8*o**4 + 34*o**5 - 16*o - 12 - 18*o**5 = 0.\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165924?\nAnswer: 2, 3, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*o + 2360 - 29 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -72568, -67431, -62294, -57157?\n\"Answer: 5137*r - 77705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6529\/606620 - 11\/980. Is 0 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -1 (c) -6\/31 (d) -0.2 (e) 0.03 (f) -100\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 2*o - 6, 53*m - 49*m = -5*o - 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/28421 and 20\/1804587.\nAnswer: 175044939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -792 less than 0.1445601?\nAnswer: 792.1445601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-4)\/(-16))\/(3\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 - 5*q**2 + 4*q**2 + 1 - q**2 to the form o*q**2 + l*q + h and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhlhslsnllhlnlbnh. What is prob of picking 1 l and 1 h?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*q - 580 + 1353 = -1635 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 - 5*q + 4. Let w(y) = -y**2 + y - 1. Let i = -65 - -68. Suppose 0 = 7*v - i*v - 4. Calculate v*k(h) + 3*w(h).\nAnswer: 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*m + 20 + 148. Let d(n) be the first derivative of -m - 12\/5*n - 1\/5*n**3 + 6\/5*n**2. Suppose d(y) = 0. Calculate y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**(-15\/4)*a*a*a**24*a assuming a is positive.\nAnswer: a**(101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*i + 170*i + 18665 = 469*i - 6360 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2\/17, 5\/106?\nAnswer: 5\/106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 190, 112, -22, -212?\n\"Answer: -28*w**2 + 6*w + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + sqrt(180) + -2 + sqrt(180) + -5 + sqrt(180) + sqrt(180))**2.\nAnswer: -420*sqrt(5) + 4549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 49 = 4*o + 116 + 49 - 22, -17*a + 984 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 0*r**4 - 58 - 6*r**6 - 77\/2*r**2 - 1\/5*r**5 + 0*r**3 + 0*r. Find the second derivative of g(o) wrt o.\nAnswer: -720*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 114, -54, -458, -1176, -2286, -3866?\nAnswer: -5994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:34 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-3))\/((19\/684)\/(17\/136))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 2850.593\nAnswer: 285.0593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 2) + 7 - 58.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53331 is divided by 17613?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + z**3 + 0 + (73*z**3 + 946*z**3 + 718*z**3)*(-1 + 1 - 2).\nAnswer: -3473*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.58 rounded to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - z)*(-z + 1 - 1) + (-2 + 18 + 13)*(16 + 17 - 40 + z)*(4*z + z - 4*z).\nAnswer: 30*z**2 - 203*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93909 is divided by 9388?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8027.\nAnswer: 23, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 17*g**3 - 10*g**2 + 9*g. Let p be i(1). Solve -p = -12*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -31 + 1. Suppose -h*q = -5*q + k + 40, 3*q - 60 = k. What is the least common multiple of q and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {g: 1, q: 2, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 686*x + 6130. Let i be k(-9). Solve -45*l + i*l = -16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669.816us in nanoseconds?\nAnswer: 669816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 54. Is (-19730)\/l - ((-8)\/28)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - 53. Let a = 136 + k. Let l = a + -71.0000118. Round l to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let z(r) = -r - 4. Determine z(j(n)).\nAnswer: n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.910366 years to centuries.\nAnswer: 0.00910366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142637 = 264*s - 2791*s - 54469 for s.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.345040592 and -0.079.\nAnswer: -0.424040592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 199, 204, 213?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + 9 + -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13168\/6)\/(5\/315). Suppose 447832 - h = 4*r. Suppose l = -r + 437392. Round l to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 20*p + 4. Determine m(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 629 - 1489 = 0. List the prime factors of v.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -2*p**2 - 2. Let x(z) = 3*z**2. What is x(c(y))?\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j + 265. Let h be c(49). Suppose 3*n - 5*z = 120, 3*z - 108 - 92 = -5*n. What is the highest common factor of h and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 4*s + 4. Calculate the smallest common multiple of -3 + 6\/2 + (13 - 3) and y(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2082 and 72502.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(644\/24)*7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 270951 - -27 - (10 - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 greater than 302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(70)*1)\/sqrt(10))**2 + -1 - (sqrt(756)\/(2*sqrt(48)))**2.\nAnswer: 97\/16 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -64*d**3 + 2*d**2 + 13*d + 10. What is o(-1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, e: 6}. What is prob of sequence cc?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2. Let q(b) = 14461*b + 186. Calculate q(a(s)).\nAnswer: -14461*s**2 + 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a. Let p(h) = -24*h**2. What is j(p(n))?\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 109.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, v: 1, e: 5}. What is prob of sequence jjvj?\nAnswer: 33\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 816270474?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 344\/(-43)*2\/12?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2954, 0.4, 5\/4, 6 in ascending order.\nAnswer: -2\/5, 0.4, 5\/4, 6, 2954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28350 (b) 124 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/7 (b) -14 (c) -2\/13 (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3 (b) -2\/19 (c) 2 (d) 14323 (e) 0.2 (f) -1 (g) 2\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s + 25*s + 25*s - 63*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -73 and -0.99.\nAnswer: -73.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 36*a**2 + 3*a**3 + 100*a**2 - 64*a**2.\nAnswer: 3*a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (67 - (6 + -7 + 1 - -15)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.69 + -1.64. What is the closest to -1 in y, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 + -0.05?\nAnswer: 84.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(170)\/sqrt(90))**2) + sqrt(2448)*-1.\nAnswer: -11*sqrt(17) - 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1552 + 13804 = -192*i + 956 for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) 1 (b) 5 (c) 74.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21324656 (base 7) to base 15.\nAnswer: -25eb45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 - 4640319933856?\nAnswer: -4640319933856.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.6 + 0.4. Let v = 90049\/18855 - -4\/2095. Let n = -5 + v. Sort 0.4, c, n in descending order.\nAnswer: c, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*u - 37 = -372 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31\/14 + 12\/7. Sort 5, -3\/7, w in decreasing order.\nAnswer: 5, -3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 314 + 6\/(2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/252 and 65\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -125053 divided by -6?\nAnswer: 125053\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - 477*t + 954. Let y be r(2). Calculate the greatest common factor of y and 2500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 600\/88) + (-4)\/22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155520 and 4265136.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irioriiioaliaii. What is prob of picking 1 a, 1 o, and 2 i?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/89, 2, -2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 92.54038 weeks?\nAnswer: 15546.78384","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2277320941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4962438.\nAnswer: 2, 3, 13, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 12. Suppose -38*u + 4930 = -2176. Let l = u + -179. Give j(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - -113857a1?\nAnswer: 11385794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from mgeeemmame?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 8*s = 10*s - 2, -4*k - 4*s = -4. Suppose k = 3*g - 691 - 50. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74\/245 or 0?\nAnswer: -74\/245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17368 by 104.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(396)*3 + -2)**2.\nAnswer: -180*sqrt(11) + 3589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3717, -3492, -3267, -3042?\n\"Answer: 225*c - 3942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*z = 55*z + 48*g + 256, 3*z = -2*z + 3*g - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a - 1. What is m(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -2, 96, 0.193, 3579?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 2*r**4 - 2*r + r - 2*r**2 to the form u*r**3 + y*r**2 + v*r**4 + p + b*r and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 12:39 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045522 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1 (c) -2\/185 (d) -1\/4 (e) -2\/17 (f) -2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l + 5. Let d(s) be the third derivative of -s**4\/24 + s**3\/6 + 3*s**2. Give -6*d(z) + p(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 + 2*v + 3. Let i be d(4). Does 8 divide (-6)\/(-9) - i\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -3) + -1 + 3. Let a(l) = 11*l - 11. Let k be a(1). Differentiate o - 3 + k*s**4 - 6*s**4 + s**4 wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 2*h + 8, 27450*i - 27452*i - 4 = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24712?\nAnswer: 2, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365759?\nAnswer: 365759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.52 and 59.95621.\nAnswer: -31.1772292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 67*a + 176. Let u(w) = 25*w + 59. What is 3*c(q) - 8*u(q)?\nAnswer: q + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q + 27. Suppose q = -4*h + 1. Let u = 0 + -3. Put 2, u, h in decreasing order.\nAnswer: 2, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6363 (base 8) to base 16.\nAnswer: -cf3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 + 15804*w**3 + 376308*w**2 - 2684988*w + 4241160 = 0. What is w?\nAnswer: -3927, -30, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x - 171. Let t be m(35). Solve -6 = v - t*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kimkmmimimi. Give prob of sequence km.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.71? (a) -1\/3 (b) -1204 (c) 2\/17 (d) -2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 196167851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*m + 22. Let z(k) be the first derivative of 1\/2*k**m + 1\/16*k**4 + 1\/3*k**3 + 0*k + 5. Solve z(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**5 - 122040*i**4 - 771044912*i**3 + 2438140691168*i**2 - 1593865201778688*i - 3197489132728832 = 0.\nAnswer: -16468, -2, 1214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -139.3 and -4.8.\nAnswer: -144.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*i**2 + 156*i - 40.\nAnswer: 4*(i + 10)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 - 10*b - 5. Let l(p) = -9*p**2 + 21*p + 10. Let g = -5 + 12. Let i(u) = g*k(u) + 3*l(u). Suppose 565*a - 703*a + 1104 = 0. Calculate i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (71\/(-3))\/((-23)\/1311)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/5 - 0) + -7. Let h = z - 1. Let m(x) = -x - 9. Let w be m(h). Let j(s) = 2*s - 4. Determine j(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74899 and 847.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11 + (6 - 4 - 4). Let g be (s - 160\/(-10))*-81360. What is g rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + ((-1)\/(-2))\/(-1). Let d = 15847\/3 + -5282. Which is the second biggest value? (a) 12 (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 12) to base 7.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*h + 8*w - 5*w, 3*w + 4 = 2*h. Let y = -19 + 20. Let m = 17 + -22. Which is the nearest to y? (a) m (b) 2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29\/10 + 5\/2. Let h be 2*(6 - 1575\/261). Which is the closest to f? (a) 2 (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4) + (71 - 70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80244894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 4. Let x be y(6). Let c = x + -8. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2983326 times 4?\nAnswer: -1.1933304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2)\/v)**(2\/93)*(v**4)**(-3\/10) assuming v is positive.\nAnswer: v**(-563\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7101 - -7125. Let l(q) = -8*q + 13. Calculate the remainder when l(-9) is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 5 - (1 + sqrt(252)) - (sqrt(63)\/(sqrt(9)*-2) - ((sqrt(7) - sqrt(21)\/sqrt(3)) + -2)).\nAnswer: -sqrt(7)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 128 = -134 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885266311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141.91 rounded to 0 dps?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2213 (base 13) in base 12?\nAnswer: -28b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -48\/65, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 65 = 8. Let h = 21 + i. Solve -4*n - 24 = -g, -8 - 2 = -h*n - 5*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 6*g**3 - 2*g**3 + (-3*g**2 - 2 + 2)*(0 + 2*g + 0) + 0*g**3 - 4*g**3 + 3*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 0)*(-3*h**3 - 109*h + 111*h + 6*h**2 + 2 - 2*h**2).\nAnswer: -9*h**3 + 12*h**2 + 6*h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 13381.46478 to the nearest 10.\nAnswer: 13380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -93376, -186829, -280292, -373771, -467272, -560801, -654364, -747967?\n\"Answer: -y**3 + y**2 - 93449*y + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 19 = z + m, 3*z - 3*m = -39. Suppose 5*a = y - 37, 0 = 3*y + 5*a - 5 - 6. Let g = z + y. Solve 2*t - g*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 6*u - 3*b, -3*u + 6*b = 7*b + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 11*z - 1. Let d be s(-6). Solve 0 = y + 4*a + 15, 4*y = d*y - 5*a - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1796887 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 11*j - 14*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -488711, -977427, -1466143, -1954859, -2443575?\n\"Answer: -488716*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1768 divided by 136.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1530 divided by 51\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.142 - -317.142. Let u = -322.46 + d. Let a = u + 5.4600313. Round a to six dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49309, 197266, 443869, 789118, 1233013, 1775554, 2416741?\nAnswer: 3156574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b - 66 = -46*b + 4*v, v + 174 = 5*b. Calculate the remainder when 64 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*(sqrt(120)*3 - sqrt(120)) - sqrt(120))\/(-1*sqrt(6)*2) + -5)*-6.\nAnswer: 30 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1120322, 1120324, 1120326, 1120328, 1120330?\n\"Answer: 2*a + 1120320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22, -17, -10, -1, 10?\n\"Answer: y**2 + 2*y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 309527?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -187319400 to the nearest one million.\nAnswer: -187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-495)\/(-180) - (-28047)\/12 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6 and -85\/202.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 divided by -4138?\nAnswer: 37\/2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 + -2 + -5 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364313385 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 46\/5 of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 712917356 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-13) + (-1015)\/(-91). Suppose b*z - 34 = -1. Find the second derivative of 18*g**2 + 29*g - 8*g**z - 18*g**2 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, q: 10}. What is prob of sequence qd?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/10 + 68\/10 + -7.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - 0. Let z(a) = -148*a - 1407. Let n(t) = -16*t - 151. Let v(x) = 28*n(x) - 3*z(x). Calculate v(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 7*r**2 - r + 6. Give n(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 7*l - 5. Let t be s(-1). Let r(q) = q**2 + q + 1. Let y(a) = -4*a**2 - 5*a - 3. Determine t*y(k) + 5*r(k).\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/107595 and -17\/1028130.\nAnswer: 9253170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 2:41 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 11*r + 4*r**3 + 11*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3012 - 222130?\nAnswer: -231202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 301558 smaller than 301568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-3))\/(5\/15))\/(474\/79)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5818636 by 76561.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1523 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 30 = -5*x - 3*v, -x - 3*v + 11 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 7 - 7)*(5*z - 4*z - 3*z)*(187*z - 594 + 594).\nAnswer: 748*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*b + s - 101 = 0, 2*b + s - 51 = 0. What is the second derivative of b*u + 30*u**2 - 66*u + 10*u**2 wrt u?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132033?\nAnswer: 3, 11, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 + -116. Suppose 0 = 3*w + 2*r, w + 3*r = -y*w - 1. Suppose -w*v - 3*t = -7670, 3*t = 18 - 6. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z + 23*z + 3*z + 12*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-6)*(-287)\/1148.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482403537?\nAnswer: 3, 7, 11, 696109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*f**2*p**2*q*s + 69*f**2*p*s + f**2 - f*p**2*s - f*p**2 - 4*f*p*s - 2*p**2*q*s - 2*p*s - 37*s wrt f?\nAnswer: 50*p**2*q*s + 138*p*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65.7 + -73. Let d = -1 + 2.8. Let o = c + d. What is o rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1944)\/(-2268))\/(6\/70) - 16\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21333 (base 5) to base 12.\nAnswer: a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -23. Let a = -4 + 9. Suppose b = -a + 8. Solve b*i + 0*i - w = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -27*n + 751. Let x be b(28). Let l(j) = 4*j + 4. Let f(m) = 4*m + 3. What is x*f(w) + 4*l(w)?\nAnswer: -4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:39 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q - 16422 = -52*q. Does 51 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 10:32 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-4) + (-3)\/(-2). Suppose 3*j - p*d - 3138 = 0, 5233 = j + 4*j - 4*d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -574771?\nAnswer: -574771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*d + 2*k, 2*d + 2*k = 3*d - 15. Let w = d + -31. Let n = 10 + w. Solve 7*q - 36 = -5*v + 3*q, n = -5*v + 5*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence php when three letters picked without replacement from puphppppppuh.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8141.\nAnswer: 7, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 370874 to the power of 1\/2, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*j - 50. Suppose -j = -5*c - l + 4*l, -c = l - 13. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -422934 (base 10) to base 14.\nAnswer: -b01b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -4 (c) -9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/5, -5, 333, 0.3, -3\/713 in decreasing order.\nAnswer: 333, 2, 0.3, -3\/713, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 8*a = -14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 8 = 24. Suppose -6*a - i*a - 80 = 0. Let z(y) = -y**3 - 9*y**2 - 10*y - 12. Let m be z(a). What is the greatest common factor of m and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 95 = 3*k + 5*f, -f - 83 = 2*k. Let g = -29 - k. What is the units digit of ((1 - -2)*-1)\/(g\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*j - 13 = 0, -u = -3*j - 10 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.5 - -12. Let c = -0.5 - g. Let d = 3.006 + c. What is d rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + (21 - 3))*1\/4 - (-178)\/(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 13 + 0*n - 1\/8*n**2 + 1\/16*n**4 + 0*n**3. Factor y(d).\nAnswer: d*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0 (c) -1.6 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 1440040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 3 (c) -3 (d) 7.5 (e) -1\/3 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.247903 rounded to three dps?\nAnswer: -0.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - ((-3 + sqrt(75))*1)**2) + 5.\nAnswer: -79 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**7\/63 - o**6\/45 + o**5\/30 + o**4\/18 - 4*o. Factor v(b).\nAnswer: -2*b**2*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56065 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59, -81, -105, -131, -159?\n\"Answer: -a**2 - 19*a - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + y - 14 = -21, 3*y - 3 = -r. Let w(j) be the first derivative of 10*j**3\/3 + 3*j + 17. Let f(g) = -50*g**2 - 14. Calculate r*f(k) - 14*w(k).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 30, 983*g - 2*p = 986*g - 31 - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.42 in -0.3, 48\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 70*b**2 + 7. Let h(j) = -4*j + 11. What is h(v(z))?\nAnswer: -280*z**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 3*u**2 + 6*u + 4. Let j be (2\/3)\/(5\/(-30)). Let n be k(j). Suppose -5*y + 2*y = -n. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1000?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqqggk. What is prob of sequence qo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*i + 2*t, 2*i = -0*t + 3*t. Let g = -187 - -192. Suppose 0*u = -2*u - i*y + 82, -g*y + 164 = 4*u. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 3*d**2 - 17*d - 43. Let x be b(-2). Let m be ((-18)\/4)\/((-15)\/6). What is the nearest to 2\/3 in m, x, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.8 + -44. Let h = -2.8 + j. Let u = 8 - 13. Which is the nearest to 0? (a) h (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/19 or -3\/121?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(1\/6))\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(1089)*-1).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4870 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -196, -395, -594?\n\"Answer: -199*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:00 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 549 a factor of 1483072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*y**4 + 92301*y**3 - 215790197 wrt y.\nAnswer: 200*y**3 + 276903*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-36))\/(24\/416*13).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/10)\/(-1))\/((475\/1375)\/19)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 + 2*g**4 + 3*g**4)*(0 + 0 + g) + 1502*g + 90*g**5 - 1502*g.\nAnswer: 91*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, g: 2, d: 1, r: 1}. Give prob of sequence jj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -6*h - 18, 0 = 4752*x - 4756*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*x - 18*x - 31*x)*(4 - 4 + 1)*(0*x**2 + 3*x**2 - 4*x**2).\nAnswer: 86*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/7 - 15000\/1050\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-10))\/(6\/(-10)). Put a, 3\/2, 5 in decreasing order.\nAnswer: 5, 3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f - 1. Let g(v) = -229*v - 4. Give -5*d(b) + g(b).\nAnswer: -184*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2074836 - -2074836.7399868. Let y = -0.74 + c. What is y rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 210*p + 36. List the prime factors of a(3).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {x: 4, g: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389039 is divided by 1940.\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -2, -129, -6, 6.\nAnswer: -129, -6, -2, -1, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1020)\/(-7140) - (-46)\/(-126)) + 3 + -2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + b + 15. Let l be c(0). Let w(g) = -g**2 - 9*g - 1. What is the remainder when (-5)\/(l\/(-198)) - 1 is divided by w(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 8*s**2 - 7*s + 3. Calculate h(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*r**2 + 263 - 3*r - 302 - 304 + 2*r - 326 wrt r?\nAnswer: -106*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 8:17 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 546\/(-351)*36\/2. Suppose 2*u = 5*u + 12. Sort a, -5, u in descending order.\nAnswer: u, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 9*t**2 - 12*t - 10. Let o be d(-10). Suppose l - 3*l = -o. Which is smaller: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2))\/(2\/(-4)). Let f(m) = -m**2 + 6*m - 7. Let o be f(5). Let r = -221 + 224. Put r, o, 0, q in descending order.\nAnswer: r, 0, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0555 - 796\nAnswer: -795.9445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 599 by 532.\nAnswer: 599\/532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6*(-6)\/(-8)*-1997. Let d = p - 6998\/7. Calculate the common denominator of d and 97\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111100000 rounded to the nearest 1000000?\nAnswer: 111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2429)\/(-17)*1 - (-120)\/1020. Calculate the highest common factor of 26 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 76\/18 + (-10)\/45. Is ((-14)\/(-49) - (-6403)\/7) + p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -142, -131, -124, -133, -170, -247?\n\"Answer: -2*g**3 + 10*g**2 - 5*g - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2379303238?\nAnswer: 2, 13, 17, 5383039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**2 - 1 - 3*d**2 + 0*d**3 + d**3 + 0*d**2 as f*d**2 + u*d**3 + q + c*d and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7793*u - 8587*u - 39700 = 0 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:42 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -53*j**2 - 3 + 1 + 3 + 52*j**2.\nAnswer: -(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3635, 7263, 10893, 14525?\n\"Answer: g**2 + 3625*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 325 = -5*o, -2*o + 260 = 2*o + 2*t. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -495e - -1b52?\nAnswer: -2d0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 2022*p**3 - 31305*p**2 + 206700*p.\nAnswer: 3*p*(p - 689)*(p - 5)*(p + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in 5, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2263 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(350) - sqrt(350))*5)\/(-6*-1*sqrt(7))*5 + 2.\nAnswer: 2 + 125*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112 + 143 - (11 - -63).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4*m = -2*j + 28, 5*m = -2*j + 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/36, 6, 3, 57\/1277?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {o: 2, k: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1564.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 2*w**2 + w + 2. Let y be u(-3). Let q = y + -11. Solve -5*f - q = -4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 22*b**2 + 65*b - 9. What is w(-18)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8071 is divided by 1981?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 9:04 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 38 = -3*p, -14*y - 133*p + 129*p + 58 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jba when three letters picked without replacement from {b: 3, c: 2, e: 7, j: 5, a: 1}?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.83795 to two dps.\nAnswer: -25.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 2583.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 > 15907.44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 16*p**2 - 4 + 3*p**3 + 4*p**3 - 15. Let i(n) = 13*n**3 + 31*n**2 - n - 37. Let o(s) = 6*i(s) - 11*q(s). What is the units digit of o(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - (-4 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 239*q**2 + 32*q + 176. Is b(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6544 and 14160?\nAnswer: 5791440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20637, 20845, 21405, 22491, 24277, 26937?\nAnswer: 30645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**4 - 109236*j**3 - 23728184*j**2 + 71949264*j - 48111840 = 0. What is j?\nAnswer: -27090, -222, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99168.\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 - 0 - (-7 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8330 times 0.3?\nAnswer: -2499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.12, -2\/13, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -727, -1600, -2835, -4438?\nAnswer: -6415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -27 (c) -3 (d) -1.6 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289 + 304 - 4*v**2 - 593 + 7*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {z: 3, w: 3, p: 1, b: 3, d: 5}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 7. Let t = 3.22 + -0.22. Let p be -3*24\/(-270)*(-6)\/4. What is the biggest value in t, k, 13, p?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28686?\nAnswer: 2, 3, 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1641 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -30 (b) 0.02 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12689000 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8520 and 55?\nAnswer: 93720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12212322221 (base 4) to base 2\nAnswer: -110100110111010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -1300133241?\nAnswer: -1300133300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -402.3 (b) -21 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 372967257 a multiple of 4404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 308674, 308673, 308672, 308671?\n\"Answer: -s + 308675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - 6*v + (-92 - 3 + 4)*(v + 3*v - 8*v - 1).\nAnswer: 358*v + 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3816 is divided by 161?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h*h**(5\/3)))\/h*h)*h*(h**1*h)\/h*h*h)**(-2\/47) assuming h is positive.\nAnswer: h**(-40\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/5))\/s*s\/(s**1\/s)*((s\/(s*s\/(s*s*s\/(s*s**(2\/5)*s*s*s))*s))\/s)\/s**4)**8 assuming s is positive.\nAnswer: s**(-312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**5 - 1812*h**4 - 3591*h**3 + 12666*h**2 + 14412*h - 21672 = 0.\nAnswer: -602, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*r - 0*n - 5, -r + 2*n - 8 = 0. Suppose -3 = -r*b + 1. Suppose -k + 0*k + b = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6 - 2) + (-8320)\/(-78). Let a = g - -166. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102221 (base 4) in base 7?\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6159, 12351, 18577, 24837, 31131?\nAnswer: 37459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58.4 - -402.4. Put x, 0.2, 0.1 in increasing order.\nAnswer: 0.1, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -m, 2*i = -i + m - 2. Let x be 0 + (13 - 7) + i. Solve -4*h - 3 = x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 7*q**2 - 8*q - 9. Let k be i(-7). Suppose 0 = g + 14 - k. Suppose g - 12 = 3*d. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1012101001 (base 3) to base 6\nAnswer: -301131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**10\/50400 - q**9\/25200 - q**8\/11200 + q**7\/4200 + q**4\/12 + q**2. Let s(p) be the second derivative of h(p). Factor s(w).\nAnswer: 3*w**2*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 81*w**3 - 279*w**2 + 112*w - 12 = 0?\nAnswer: 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737701 is divided by 13660?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 29?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 325542 and 325760 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 120913154 + 5?\nAnswer: 120913159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -46b338 + 1c?\nAnswer: -46b31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 944322, 944267, 944116, 943821, 943334, 942607, 941592?\nAnswer: 940241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2988 (base 14) in base 13?\nAnswer: -3481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -22*u + 1. Let f be i(-7). Suppose -b - 169 = -5*g + 232, -2*g - 5*b + f = 0. Suppose 5*v - g = 265. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = -56*i - 322 + 41 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609070771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 39*x - 22. Let y = -794 - -862. What is the remainder when y is divided by z(38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 42 + -17 + (13 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 15, -252, 32?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/13*1079\/1743.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q**2 - 33*q + 36. Let c(f) = 16*f**2 - 65*f + 71. Let t(r) = 6*c(r) - 11*m(r). Suppose t(v) = 0. What is v?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {e: 1, x: 1, i: 1, w: 1, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from vooooodooddovdd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -114170 to the nearest one thousand.\nAnswer: -114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7*4\/(-4)). What is the closest to 0.1 in -8, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*n + 116, -n + 320 = 3*y - 2*n. Let o = 109 - y. Put 5, o, -4 in increasing order.\nAnswer: -4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4682824970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29898576 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 165\/(-3) - (2 + 2). Let a = 47 + d. Let t(c) = c**2 + 10*c - 22. What is the units digit of t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/15*6)\/(2\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4680731 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412 = -1442*j + 1444*j + 4*r, 0 = -4*j - 2*r + 200 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 t when four letters picked without replacement from tetteeeeeeeeet.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10325619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -36)\/((-9)\/(-2 + 1)). Let f = -279 + 275. Which is greater: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36165080 and 5936.\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5434 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: Suppose 0 = g + 3*v - 78, 5*g + v = -4*v + 370. Suppose -23 = -2*x + c + 14, -3*x - 4*c = -g. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -295404 + 8?\nAnswer: -295396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + (-37 - (6 - 62)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 273233721.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*c + 68*c = -3*h + 121769, 4*h + 2*c = 162342. What is the thousands digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -377*v**4\/4 + 2523*v - 1856. Differentiate t(h) with respect to h.\nAnswer: -1131*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 - 8*n**3 - 6*n + 5*n**3 + 2*n to the form y + u*n + t*n**2 + s*n**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/2 - o**3\/6 + 9*o**2\/2 + 11*o. Let l be j(3). Suppose -921 = -63*n + l*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j + 3*j)*(1 - 1 - j**2) + 3*j**3 - 4*j**3 - j**3 + 2*j**3 - 3*j**3 + 8*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**2 - 6*w + 15 - 14*w**2 + 7*w**2 - 3*w**2 + 49.\nAnswer: -20*w**2 - 6*w + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 6*n**2 - 3*n + 7. Let d be z(5). Suppose 2*p = d + 5. Let t = 32 + p. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 2:23 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -1927031619?\nAnswer: -1927031610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 189*y = -187*y - 2, s + 3*y = -17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 9*o**2 - 11*o - 25. Calculate m(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15718*w**2 - 204447*w + 1477. What is n(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {l: 7, e: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 80885264.\nAnswer: -80885271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(156))\/sqrt(12) - (sqrt(1573)*-1*1 - sqrt(1573))**2.\nAnswer: -6292 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*x**3\/21 + 830710*x**2\/21 - 441864*x\/7 - 31944 = 0.\nAnswer: -21\/52, 2, 7986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3791034356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x**2 + 11*x**2 - 10*x**2)*(-2*x + 4*x - x) + (2*x - 2*x - 2*x**2)*(-165 + 165 - 44*x).\nAnswer: 98*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15401 - -39402. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/568 and 13\/284?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5*20.32\nAnswer: -101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*y + 391*y**4 - 8*y - 58 - 365*y**4 - 2*y**3 wrt y?\nAnswer: 312*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*t + 486*t + 817*t - 151*t + 528*t in the form i*t + o and give i.\nAnswer: 1645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {y: 1, s: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2016, 4942, 7868, 10794?\nAnswer: 13720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/10 - 5*a**4\/12 + a**3\/3 + 5*a**2\/2 - 65*a - 1. Let h(m) = 4*m**3 - 11*m**2 + 5*m + 10. Calculate -2*h(z) + 5*l(z).\nAnswer: 2*z**3 - 3*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -1\/30*y**5 - 3\/80*y**6 + 0 + 0*y**3 + 0*y - 1\/96*y**4 + 0*y**7 + 9\/448*y**8 - 4*y**2. Factor d(h).\nAnswer: h*(h - 1)*(3*h + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 4. Let c(g) = 11 - 4*g - 3*g + 0*g - 2*g. Suppose -27 - 28 = 5*z. Calculate z*l(i) + 4*c(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3706.13 - 3761. Let p = g - -98.88. Let m = 44 - p. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328 (base 12) to base 7.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1311, -1579, -1807, -1995, -2143, -2251?\nAnswer: -2319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 2. Suppose 309*b = 305*b - 16. Give l(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*o + 45, -5*o + 3*b = 7*b - 51. Suppose o*p - 15 = 29. Solve -p*c - 5 + 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3576 - 3223.9. Let y = 352 - o. Let j be (-4)\/(-8) - 1*-2. What is the biggest value in 5\/4, y, -3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -180\/11 - 7219\/22. Let p = 4769\/14 + s. Let l(v) = v**2 - 10*v + 11. Let u be l(8). Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 707*u**2 + 223*u - 46330. Determine l(-354).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u. Let d(c) = 75*c**2 - 19*c + 38. Let k be d(-18). Let t(h) = -5*h - k + 24680. Determine g(t(b)).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35145483 divided by 126879.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, -2, 2, -343 in ascending order.\nAnswer: -343, -2, 2, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16158 is divided by 143.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 109*a**8\/336 - a**5\/30 - a**4\/6 + 18*a**2 + 2*a. What is the third derivative of f(q) wrt q?\nAnswer: 6540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-2)\/(-15) + (-5844)\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/48 and 73\/213.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128207410*w**3 + 128207412*w**3 - 9*w + 9*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlxx when four letters picked without replacement from {x: 3, l: 11}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -44*t**2 + 5*t + 465. Let n(x) = -7*x**2 + x + 1. Determine -6*n(c) + v(c).\nAnswer: -2*c**2 - c + 459","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 31. Suppose -4*w + 22 = -l. Is 5 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*h + 3 + 31 = 0, -38 = -4*w - 2*h. Let k be (w\/4)\/((-1)\/2). Let r(f) = f**2 + 6*f + 5. What is r(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6211 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208272*a**5 - 570*a**2 + 59.\nAnswer: 12496320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.427405ng to micrograms.\nAnswer: 0.003427405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - (0 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-2)\/(-2)*-3 + -3. Let f be (0 + 1 + s)*2 + -34. Let r be ((-2)\/f)\/((-10)\/180). Which is greater: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*w, b + w = 20 - 7. Suppose 0 = -7*p + b*p - 286. Suppose 0 = 2*o + 2*o - 24. Solve n = -3*l + o*n - p, 0 = -4*l - 5*n + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - 27447528?\nAnswer: -27447537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9273302 microseconds to days.\nAnswer: 0.0000000000223070625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 195 + -158. What is the remainder when s is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360 divided by -6.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5915, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -i - p, -4*i + 30 = -5*p. Solve 5*y = i*c - 3 - 12, 3*y + 5*c = 31 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1580\/948)\/(1*(-10)\/84).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6032503?\nAnswer: 6032503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 27*c**2 - 11*c**3 - 13*c**2 + 9*c**3 - 7*c**2 - 3*c**4 - 12 - 6*c**2 to the form r*c**3 + b + m*c**2 + g*c + f*c**4 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/78912 and -109\/192384?\nAnswer: 26356608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkkekkkxexoxekkkk. What is prob of sequence kx?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 3125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4428*1220.\nAnswer: 5402160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -383\/134178 + -7\/627. Is v greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*23699535\nAnswer: -9479814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l + 1. Let y be t(2). Suppose h = -2*h + y. Suppose 5*u - 5 - 5 = -h*d, -18 = -5*u + 3*d. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -674, -682, -706, -752, -826?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 706857755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -4 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*t**3 - 3*t**3 - 80*t + 3*t**4 + 69*t wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153251 is divided by 178?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*r**2 + 38*r**2 + 30*r**2.\nAnswer: 141*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722*n = -117*n - 1137267505. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 - (5 + 10 - -23).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -6.75. Let k = q - 0.6. Let a = k - 0.15000112. What is a rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l - 10. Let d be a(-10). Suppose -d = -9*m + 3*m. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-915)\/488*(-16)\/(-100)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (4 - -4) + -4. Suppose -5*i - 5*r - 1055 = v, 0 = -2*i - 0*i + r - 422. Let k = -136 - i. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 - (140 - 125).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*n = 6*k - 3580, 5*k - 4*n - 5988 = 0. What is the greatest common divisor of k and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 - 1. Let b(f) be the third derivative of 1\/2*f**3 + 1\/20*f**6 + 0 + 0*f - 7*f**2 + 0*f**4 + 0*f**5. Determine 2*b(n) + 7*i(n).\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 3150.\nAnswer: -1\/1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2\/7 - 73980*i\/7 + 2369408\/7 = 0.\nAnswer: -37022, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x. Suppose 2*p - 12 = -0*p. Let f = p - 0. Let i(d) = 2*d + d**2 + 4*d - f*d. Determine w(i(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 2*z - 392. Let i = z - 146. Let d = -44 - -64. What is the highest common divisor of i and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6918998.4ns?\nAnswer: 0.000001921944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3520.797 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/(r\/(r**(-5\/6)*r)))\/r)\/r*r)\/r**(-1)*(r**(-1\/3))**(-5\/12) assuming r is positive.\nAnswer: r**(47\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.7. Let m = o + 0.1. Let a = 51051 - 51062. Sort a, 4, m in ascending order.\nAnswer: a, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u*u**(1\/2)*u*u)\/u)\/u**(-4))\/(((u*u**(2\/9))\/u)\/(u*u*u**(3\/4))))**(-36) assuming u is positive.\nAnswer: u**(-397)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*4\/(-40)*2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-920)\/(-15) + 6 - (-4)\/(-10)) + 8\/120.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999936 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507 = -86*p + 125*p. What is the greatest common divisor of 4147 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 721 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 12793 - 5046 = 5*t, -4*t - 2*m + 6182 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.63189996 to 2 dps.\nAnswer: -31.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - 28. Let l = -33 - i. Let v = -1.3 + 0.3. Which is the second biggest value? (a) l (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213420 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132507720 - 76507720. Round v to the nearest 1000000.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13276641*l*t + 2750*l + 2021 wrt t.\nAnswer: 13276641*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2289045.\nAnswer: 3, 5, 11, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-27\/4)*a*a**(-37) assuming a is positive.\nAnswer: a**(-113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.5099ml in litres?\nAnswer: 0.0715099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6306.009 to the nearest 10.\nAnswer: 6310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69471 is divided by 208.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 3, -16.5, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 8. Suppose 2*l - 114 = -3*p + d*l, -3*p + 4*l = -108. Suppose -s = -3*v + 3 + 16, 0 = -4*s - 16. What is the highest common factor of v and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = 2*a. Let v(u) = u**2 + 5*u + 3. Let g be v(a). Suppose -g*c + 13 = -2. Solve 5*n = 3*z - 9, 5*z = 4*n - c*n + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1750\/112 + 14 + -30?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + (2 - -1) - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101101001000010101 - -11000?\nAnswer: -100101101000111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4991*v + 3020. Let m(g) = 4991*g - 2921. Let q(k) = 5*d(k) + 6*m(k). What is the first derivative of q(l) wrt l?\nAnswer: 4991","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 28*l**2 - 688*l - 2070. Determine t(-3).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/(-6) + -78 + 61.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*w - 3981 + 1077, 3*d + w = -2900. Let o be d\/27 + 2\/(-9). Find the common denominator of 14\/11 and 3\/12 + (-831)\/o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 4. Let d be f(-2). Let q(a) = 1 - d*a**2 + 8*a**2 + 0*a**2 + 2*a**2 + 2*a. Let m = 107 - 108. Determine q(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 62362, 62361, 62360, 62359, 62358, 62357?\n\"Answer: -v + 62363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4 + 297*d**3 + 7200*d**2 - 7500*d = 0. Calculate d.\nAnswer: -50, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*a - 1383 + 33 = -37*a. Solve -3*o + a = v, -5*v + 13 = -o + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 19. Let h(w) = w**3 + 6*w. Let i(l) = l. Let z(y) = a*h(y) + 2*i(y). Let u(x) be the second derivative of z(x). Determine u(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 8 - 6)*(6 - 1 - 3)*(l + 0 + 0) to the form c*l + r and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 13. Let d be z(-4). Let p be d*(1 + 887\/(-5)). List the prime factors of p\/(-27) + 4\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*b - 195*b = 3*v + 2*v - 78, -v = 3*b - 38 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-3)\/(-39)*1. What is the third biggest value in n, -0.4, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 40. Let b(n) = -n**3 + 3*n + 22*n**2 - 38*n**2 + 18*n**2 - o. Calculate b(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5196 is divided by 200.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870090 is divided by 869153?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1753008 to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 9702 = 2188. Let a(m) = -1189*m + g*m + m**2. Let s(l) = -5*l**2 + 24*l. Determine s(a(c)).\nAnswer: -5*c**4 + 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 906 = 2970. Let v = -130 + i. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 21 + 21. Let k be (-1)\/2 + a\/4. Suppose k - 22 = -x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 4*d = 3*o, 20 = 4*o. Suppose 5*m - 2*r + 10 = 0, d*m - 20 = r - 5*r. What is the third derivative of 8*q**3 + m*q**2 - 24*q**2 - 3*q**2 wrt q?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 - 1. Suppose -21 = -3*j + 2*j + 5*t, -4*j + 4*t + 20 = 0. Give l(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -6*d + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**(1\/4)))\/s**(2\/7)*(s\/s**(-2\/9))\/(s*s**(2\/17)))**(38\/7) assuming s is positive.\nAnswer: s**(-75791\/14994)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2983*j - 4 + 1 + 5 + 2978*j - 2.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6*-1*2*5. Suppose -w*a + 0*a - 100 = 0. Is (-1272)\/a + ((-3)\/(-5))\/(-1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2670 = -3*v - 3*c, 2*v = -5*c + 127 + 1668. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-six fifths of a decade?\nAnswer: 1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405546497?\nAnswer: 1877, 216061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 149118 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.169331 + 0.16243. Round l to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 10*q**2 + 5*q - 10. List the prime factors of h(-9).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 2156 + 2152 + 8*n - 934*n**2 + 928*n**2. Let x(k) = 7*k**2 - 8*k + 5. Give 6*i(g) + 5*x(g).\nAnswer: -g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1204)\/112 + (-6)\/24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 9*t + 4*j + 25 = 0, 4*t = 4*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -423905.00005 + 423892. Let h = 4 + 9. Let v = h + i. Round v to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -1\/15*f**5 + 0*f + 0 + 4*f**2 + 0*f**4 - 1\/3*f**3. What is the first derivative of j(w) wrt w?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2144.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510750 (base 8) to base 11.\nAnswer: -1055a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/((-1)\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 324 (base 7) to base 12\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 83\/20. Let b = -24091\/24 + 1004. Find the common denominator of b and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z**2 + 7. Let d(m) = 4 + 4 - 10 - 3*m**2. Let l(c) = 7*d(c) + 2*p(c). Let g(k) = -2*k**2. What is l(g(r))?\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -78*f - 698. What is p(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2258 - 15850\/7. Let z = -25 - 58. Calculate the common denominator of d and 0 + (76\/40 + -2)*z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1 - 1) + (-52 - -47)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**9\/30240 + c**8\/1680 - c**7\/280 + 29*c**5\/60 + 18*c**2. Let x(k) be the third derivative of w(k). Factor x(u).\nAnswer: -2*u*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(72) + sqrt(72)*1*6 - sqrt(72)) - ((1*sqrt(72) - sqrt(72)) + 0 - -1*sqrt(72)*6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -160 - -800. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 11:13 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/9)\/((-6)\/9). Let h be (12\/10)\/((-2)\/(-10)). Suppose h*p - s*p - 8 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 3) in base 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.101 + -5.101. What is the closest to 1 in u, 0.2, -0.4, -2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2 = 4*t, -183*p - 17 = -5*t - 187*p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 23280 = 23*v. What is v rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.40999983 - 0.41. Round v to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1797546 and -1.6.\nAnswer: 0.28760736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4\/4 + l**3\/2 - 37*l**2\/4 - 43*l\/2 + 30 = 0.\nAnswer: -5, -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 20 - 26 + 2*c**3 + 45 in the form o*c**2 + r*c**3 + u + i*c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1179 is divided by 123.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2890, 2528, 1904, 1042, -34, -1300, -2732, -4306?\nAnswer: -5998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 384 in -1\/57, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x. Let j(c) = c**2 - 242. Give j(m(q)).\nAnswer: 4*q**2 - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 13*p - 1. Let l be u(-13). Which is the nearest to l? (a) 4 (b) 2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**2 + 11*u - 12. Let a(r) = -2*r**2 - 4*r + 4. Let p(d) = -17*a(d) - 6*h(d). Factor p(b).\nAnswer: -2*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -14*t - 139. Give j(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -718*h + 733*h. What is d in h - 1\/3*d**2 - d = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(0 - (-132)\/9). Let w = 2\/265 + -536\/795. Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*w**4 + 7*w + 644.\nAnswer: -120*w**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 898 + 912 + 21844*g - 1810 to the form d + m*g and give m.\nAnswer: 21844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1093, -1095, -1097, -1099, -1101?\n\"Answer: -2*z - 1091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43164974, -86329964, -129494954?\nAnswer: -172659944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*m + 4128 = -437 + 1055 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 3*v**3 + 2*v - 5*v. Let n(u) = -u**3 + u**2 - u. Let l(c) = -3*c**3 + 4*c**2 - 3*c. Let t(i) = -l(i) + 4*n(i). Calculate k(g) - 2*t(g).\nAnswer: -g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10270.7673 - -4.\nAnswer: -10266.7673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8)**(2\/11) assuming w is positive.\nAnswer: w**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32801719?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rss when three letters picked without replacement from {b: 1, s: 2, f: 11, r: 5}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 989 and 1909?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -207, -689, -1629, -3177?\n\"Answer: -25*z**3 - 4*z**2 + 13*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f*f**0\/f*f)))\/f*(f\/(f**(-2\/7)*f))\/f)**(-27) assuming f is positive.\nAnswer: f**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0 + 0*m**5 + 9*m + 11\/42*m**7 + 0*m**4 + 0*m**2 + 0*m**6 - 4\/3*m**3. What is the second derivative of w(q) wrt q?\nAnswer: 220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57284 + 40605. Let k = h - -30079. Round k to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6460, 4418, 1010, -3764, -9904, -17410?\n\"Answer: -683*s**2 + 7*s + 7136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s - 11. Let p be d(4). What is the remainder when 25 is divided by 27\/p - (0 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-12)\/54 - (-112)\/12. Solve -a*t = t + 44 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -3*t**6\/10 - t**5 - 7*t**4\/6 - 2*t**3\/3 - 5*t**2. Factor p(i).\nAnswer: -4*(i + 1)*(3*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227 - -73. What is the units digit of (b\/(-36))\/(1\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*k - 53*k - 2*g + 7, 6*k + 2*g - 52 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 8*d**2 - 3. Let n(t) = t**2 - 6*t + 8. Let i be n(6). Let b be g(i). Let x be (-1)\/(b*(3 - 2)). What is the biggest value in 0, 1\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let m be (73*(0 - 1))\/((-80)\/80). Let x(p) = 28*p - m*p + 39*p - 2. Determine 8*a(g) - x(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 4. What is z(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4671079 by 4.\nAnswer: 4671079\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/49738 and 19\/6.\nAnswer: 149214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.038234 - 0.071326285.\nAnswer: -0.109560285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2662, 12458, 28784, 51640?\nAnswer: 81026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 2, -0.09, 2\/27, 3, -0.12, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 - 111. Let c(q) = 2*q**3 - 14*q**2 - 2*q + 17. Let w be c(7). Suppose 5*x + 4 + 0 = -b, -w*x = -2*b + k. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8492*u - 152*u**2 + 8492*u - 343*u**2 + 491*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*a + 12 = 174*a - 357*a + 13*w - 19, -2 = 2*a + 2*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 767*n**6\/120 - 97*n**5\/60 - n**4\/12 + 100*n**2 + 5. What is the third derivative of c(r) wrt r?\nAnswer: 4602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dc834 + 4?\nAnswer: dc838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((6 - 15) + 19 + -48).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/(-76)*(-1)\/110*(-70)\/1\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s - 30. Let r be i(-5). Let q = 5 - 0. Sort 2, r, q in increasing order.\nAnswer: r, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216\/5*a**2 - 21\/5*a**3 - 117*a + 30 = 0. Calculate a.\nAnswer: 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112422 (base 5) in base 4?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/8, 0.1, 77, 0.015?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 26. Let m(s) = -29*s**2 - 1. What is m(k(x))?\nAnswer: -29*x**2 - 1508*x - 19605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, w: 7}. Give prob of picking 2 w and 1 g.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1147700 and 200?\nAnswer: 2295400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiimimwwmiwimiw. Give prob of picking 4 m.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 + 3*x**2 - 6*x**2)*((-1 - 2 + 6)*(548 + 50 - 3013) + (2 - 4 + 1)*(1 + 0 + 0)) in the form n*x + a + k*x**2 and give k.\nAnswer: 14492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 90 = 4*u. Let l(m) = m**3 + 6*m**2 - m. Determine l(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 485609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005220272897 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 6:44 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 3, y: 1, u: 2, v: 4}. What is prob of picking 1 u and 2 v?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 34 (b) 21 (c) -0.2 (d) -1.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632*d = 1760*d - 98072 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 159611 > 159611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320416 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -40*g + 90. Is j(-3) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z + 0*z + 15*z)*(3*z**2 - 5*z**2 + 4*z**2).\nAnswer: 46*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-12) + (-82)\/8. Let i = 3 - t. Let m = 3 + 22. Calculate the remainder when m is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnnl when four letters picked without replacement from nllllllln.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 51, 145, 4, -3, 6.\nAnswer: -3, 3, 4, 6, 51, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**5\/100 + 207*c**4\/40 + 104*c**3\/5 + c**2 + 994. Factor f(k).\nAnswer: -3*(k - 208)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -47*s**2\/2 - 800. Let o(m) = -24*m**2. Give y(o(w)).\nAnswer: 1128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*4*(-50)\/(-40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024174 to 7 decimal places.\nAnswer: -0.0000242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*f**3*p - 2*f**3 - 40*f*p + 3*f - 2*p wrt f.\nAnswer: -330*f*p - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*p - 1251003, -21*i + 18*i = 3*p - 750597. What is p rounded to the nearest 1000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3449027157?\nAnswer: 3, 97, 11852327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 556224?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 975*g - 86201. Determine q(-564).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-5296)\/(-34755)*27\/(-72)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 + 87. Solve -m*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1876706 - 12511507 = -b. Let x = 24 + -19. Suppose x*s = 865199 + b. What is s rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -515749*a*n**2 + 3*a + 16*n**2 - 416384 wrt n.\nAnswer: -1031498*a*n + 32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -15, -2 in ascending order.\nAnswer: -15, -7, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - -5)*(-633)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2119881 less than -3?\nAnswer: -3.2119881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a = 64. Let m(o) = 8*o + 45. Let b be m(12). Let g = b + -79. What is the lowest common multiple of a and g?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -28*l + 86. Give y(-1).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -9)*1\/(-2). Suppose 156 = -5*z + 441. Suppose h*l - z + 1 = 0. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 20 - (29 + -36).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371179795*k + 3*k**2 - 371179795*k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**2 - 8*i**2 + 75 - 82 to b*i + f*i**2 + o and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l - 61 = d, 5*l - 280 = 5*d. Let m = d + 44. Let y(t) = -4*t**2 - 3. Let v(p) = -5*p**2 - 3. Calculate m*y(q) + 6*v(q).\nAnswer: -2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44649 and 88.\nAnswer: 357192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83473379?\nAnswer: 11, 239, 31751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4414 - 4414 - m. Let d(n) = 26*n**2. Give d(a(l)).\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -103145 (base 6) to base 5\nAnswer: -232424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6145.\nAnswer: 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -46885289.84 rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and -3.6.\nAnswer: -86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*p + 1 + 24, 0 = 3*m + 15. Suppose 2*j + 4*u = 5*j + 1187, p = -3*j + 2*u - 1189. Let c = -176 - j. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 3 + 2*s**3 - 5 + 6*s + (7 - 27*s**2 - 7)*(0*s + 2*s + 0*s) in the form i + z*s**3 + u*s + r*s**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5 + 221*v**4 + 10677*v**3 - 168305*v**2 - 367762*v - 189000 = 0.\nAnswer: -125, -108, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 291, 1173, 2645, 4707, 7359?\n\"Answer: 295*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181424.9 micrograms to kilograms.\nAnswer: 0.0001814249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16515.\nAnswer: 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from yyyyyyylyyyryyyyyy?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -23*p. Let q(r) = -151*r. Determine f(q(i)).\nAnswer: 3473*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(14\/4 + -2). Let n(a) = a + 4*a + a**p + a + 1. Let y be n(-6). Solve 4*t + 1 = q, y = -q - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 2*g. Suppose 0*a = -g*a + 285. Round a to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*(-7)\/21)\/(4\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25711, -273, 3, 2 in descending order.\nAnswer: 25711, 3, 2, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4) - -2)*-10. Suppose 16 = -11*f + 13*f. Let z(h) = -4 + 8*h + f*h - 15*h. What is z(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b55 + -15?\nAnswer: -2b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29336 and 912.\nAnswer: 176016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149\/2160 + 1\/432. Which is bigger: -1\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g + 19*g**2 + 40*g**2 + 205*g**2 + 21*g - 13*g**2 - 39*g - 6.\nAnswer: 251*g**2 - 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 53 - 32 = 0. Suppose u = 5*g - 15, 5*g - b - 8 = 2*u. Suppose u = 3*t + 2*t - 110. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19\/7 - -71\/21. Solve -r*x**2 + 2\/3*x + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 + x**4 + 2*x**4 + (0*x + x + 0*x)*(452*x - 1905*x + 634*x)*(-2*x + 2*x - 2*x**2) as j*x**2 + c*x**4 + o + y*x + u*x**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 4*v**2 + 2*v - 7. Let t be y(-5). Suppose 5*l + 12 = s, -s + 0*l = 5*l + t. Is (5 - s)\/((-3)\/(-33)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 2 = 24*u - g, 6*u = 5*g - 24. Is 13\/196 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3 - 3*u + 0*u + 0*u + u**2. Suppose 10*r = 4 + 36. Calculate the least common multiple of m(r) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3693*h = -2681*h + 23326 + 50550 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1132320*s - 1132434*s = 5358 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 take away 31?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fllwiiuh. What is prob of picking 1 f and 1 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(((-189)\/(-12) + -12)\/(10\/12)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.3? (a) -0.4 (b) 5 (c) -0.3 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 - 2*a - 1. Let c be 4\/(-20)*0 + -2. Calculate t(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n - 7*n = 189 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/5 + 2\/5*o**2 + 8\/5*o = 0 for o.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 17*c + 43. Let o be f(-19). Solve 0 = x - o + 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12) - (98\/2107 - 1658\/516)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*d = 35*d, 0 = -3*k + 5*d + 48 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**5\/120 + y**4\/8 - y**3\/3 - 2. Let v(w) be the third derivative of u(w). What is the units digit of v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -381*p - 79*p + 65*p**2 - 8*p - 87*p - 304*p wrt p.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1445 and 17?\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -175412465?\nAnswer: -175412465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttkttmygmmmgegy. What is prob of picking 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -981835 - -979823.995. Let n = -2011.33500068 - v. Let y = -0.33 - n. What is y rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*b + 135*b - 437*b + 136*b - 5.\nAnswer: 3*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0, 206, -2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/8 (b) -16\/7 (c) 2\/9 (d) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7826*o + 7670*o = 6084 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 85, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 218195757 to the power of 1\/3, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -444*c**2 + 19*c + 45. Let h be m(-2). Which is bigger: h or -1770?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 4 + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -813 by -5.\nAnswer: 813\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*-2 - (sqrt(3) + 1*(sqrt(3) - (sqrt(3) - (-1 + sqrt(3))) - sqrt(3))).\nAnswer: -7*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 - 5*f - 2*f**3 + f**4 + 33 + 37 + 2*f**2 as a*f**2 + n*f**4 + i*f + z + o*f**3 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 785281.7 kilometers in centimeters?\nAnswer: 78528170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, s: 3, i: 2, f: 1, n: 1}. Give prob of picking 1 s and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 1. Let n be k(1). Let g(u) = 25*u**n + 27*u**2 - 63*u**2. Let b(j) = 2*j. Calculate b(g(t)).\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 394*f + 24. Let j(t) = -t - 3. Calculate i(h) + 8*j(h).\nAnswer: 386*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6481 + -6477. Solve -2*o = t*s - 2, 5*s + 27*o - 10 = 22*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/((2*sqrt(96))\/sqrt(12)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.155 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -51*k**3 + 4*k**2 + 56*k - 3. Let w(b) = -104*b**3 + 7*b**2 + 111*b - 5. Let x(s) = -3*w(s) + 5*z(s). What is the second derivative of x(f) wrt f?\nAnswer: 342*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 - 2*f**4 + 6*f**4)*(4 - 5 - 17) - 7*f**4 + 3*f**4 + 2*f**4.\nAnswer: -38*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 58849, 58852, 58859, 58870, 58885?\n\"Answer: 2*s**2 - 3*s + 58850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 299 + -302. Suppose -3*h + 18 = 2*j + 4, -4*h = -4*j + 8. What is the third smallest value in 0, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69538.56*-0.3.\nAnswer: 20861.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6057, 5 in descending order.\nAnswer: 5, 1, -6057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.095261 times -34?\nAnswer: -3.238874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1396 - -1403. Solve 2*c = -o + w, -3*c + o = 5*o - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -2 + 9 + 0. Let q = 0 - j. Let b be 3 + q\/((-32)\/(-104412)). What is b rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/7 + 30*q**2\/7 + 51*q\/7 + 24\/7.\nAnswer: 3*(q + 1)**2*(q + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 995.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2, 0 in ascending order.\nAnswer: -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 1\/60*u**5 - 7\/6*u**3 + 17*u**2 + 0*u**4 + 0*u + 0. What is the tens digit of b(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let w(s) = -940*s**2. What is v(w(y))?\nAnswer: -1880*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*i**3 - 216*i**2 + 876*i\/11 - 80\/11.\nAnswer: -(i + 20)*(11*i - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i = 354 - 4578. What is the remainder when i is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*c - 705 + 108, -2*n + 399 = c. Is 40 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6.8. Let b = f + -3.2. Is 0 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/3 (b) -2\/5 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1623, -3162, -4699, -6234, -7767, -9298, -10827?\nAnswer: -12354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -83 (base 13) to base 14\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/683 and -41\/214.\nAnswer: 146162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 36*s**2. Let m(j) = -30*j**2. What is m(g(i))?\nAnswer: -38880*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 430*4\/(-16)*6040\/15100?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4946333 is divided by 1648769.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, c: 1, q: 1, w: 7}. What is prob of picking 3 w and 1 c?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 76, 167, 294?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 12. Let c be d(8). Let g = c - -7. Suppose 3*p = -5*t + 17, 0 = -3*p - 3*t + 17 - 2. Calculate the remainder when p is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64503?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61781 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -952, -1724, -2368, -2890, -3296, -3592, -3784?\nAnswer: -3878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 490887.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 500, 2018, 4506, 7928, 12248, 17430, 23438, 30236?\nAnswer: 37788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2880*i**4 + 1360*i**3 - 205*i**2 + 10*i = 0 for i.\nAnswer: 0, 1\/8, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 23*a**2 - 26*a - 11. Let r(b) = -8*b**2 + 9*b + 4. What is 4*l(k) + 11*r(k)?\nAnswer: 4*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 257540570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585 and 54765?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1) - (0 - 0). Let o(q) be the first derivative of 1\/2*q**2 - 4 - 6*q - 1\/3*q**3 - 1\/4*q**4. What is o(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - -4*sqrt(119)*3)\/((sqrt(28) - (sqrt(28)*-1 + sqrt(28)))\/sqrt(4)).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 61.42. Let a = -0.26 - u. Round a to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1834\/13167*-24) + (-1 + 6)\/(-15)?\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 8. Let n = 111 - 91.2. Let r = n + j. Which is smaller: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a factor of 1501398824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3903*i + 19507. Calculate g(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b**3 + 3*b**2 - 5*b + 4. Let u(i) = -7*i**2 - 84*i - 10*i**3 + 90*i - 5 + 2*i**2 - i**2 + 2*i**2. Determine -4*p(v) - 3*u(v).\nAnswer: -6*v**3 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5906*d**2 - 8059*d**2 + 3229*d**2)*(-2*d - d + 5*d).\nAnswer: -21472*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(567) + 2 + (4*(-1 + sqrt(567)) - sqrt(567)) + sqrt(567))*-3)**2 + -2)*-6.\nAnswer: -766302 + 19440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h + 6*h - 8*h + (4 - 4 + 1)*(-h + 0*h + 0*h) + h - 2 + 2 - 2*h + 3*h + 2*h to the form g + y*h and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0123577007 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 58 (b) 0.4 (c) 3\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52722174.4 rounded to the nearest 1000?\nAnswer: 52722000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 8. Let o be j(-6). Solve -3 = 2*c - 5*g + o, 0 = g - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 640.017 + -0.017. Let m = c - 848. Is 0.1 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -40. Let a be z\/(-10)*(-3)\/18. Which is smaller: a or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 7*n - 7. Let c(l) = l - 4. Let a be c(9). Let w be v(a). Solve 1 = w*t + 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46330 is divided by 231.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 + 2*m**2 + m**2 + (48*m + 3*m + 14*m)*(-8*m + 22*m + 82*m) to p*m**2 + r*m + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -191 and -0.0635.\nAnswer: 12.1285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 675 + -7376\/11. Let q = -26893\/6 - -4457. Calculate the common denominator of s and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2729870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by -2\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3*w**4 - 9116*k**3*w - 545*k**3 + 24*k**2 wrt w.\nAnswer: -4*k**3*w**3 - 9116*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12932514171\/1150 - 11245666. Let c = f - -2\/575. What is the closest to -6 in -0.02, c, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m - 211 = 62*m - 641 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 81028, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + r - 36 = 0, -4*l + r + 116 = -l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1260006?\nAnswer: 2, 3, 11, 17, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 + p + 2. Let x be j(4). Let w = 52 + x. What is the first derivative of -w - 83*z + 2 + 64*z wrt z?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -9. Let j(v) = 0*v**2 - v - 2*v**2 + a*v**2. What is the units digit of j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (5*-1 - 47\/(89 - 42)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 14786?\nAnswer: 59144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -0.011\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, k: 5, o: 5, t: 1, g: 4}. Give prob of picking 1 k and 1 j.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -26*d - 53. Let a(m) = 22*m + 51. Give 6*a(y) + 5*w(y).\nAnswer: 2*y + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45970 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 6, 0*c - z + 17 = 3*c. Let f = -915 - -930. Suppose 7*b - 2*b = 3*g + f, g = -3*b + 9. Solve -2*r = c*y - 1 - 7, -b = 5*r + y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2365 or 2357?\nAnswer: 2365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 161 (b) -1\/10 (c) 1.803\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 214141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13251 + -7803. Is s a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45862 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j\/(j\/(j*j*j\/(j\/j**(2\/9))*j*j)))))*j*j**7)\/(((j*j**(-1\/5))\/j)\/j**(-3\/5)) assuming j is positive.\nAnswer: j**(197\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -5136.\nAnswer: -5134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*m + 37 = 0, 2270*r = 2266*r + 4*m - 40 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2\/9 - 356*l\/9 - 10736\/3 = 0.\nAnswer: -66, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -192, -377, -568, -765, -968, -1177?\n\"Answer: -3*x**2 - 176*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/36*(-8)\/(-5))\/((-2060)\/30)*-2.\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Let p be (2 - 3)*(-2 + -1). Suppose -y*f = -8, p*q = -f + 1 + 18. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 10:33 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 51\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2791 to the nearest ten.\nAnswer: -2790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 5. Let p = -4 + y. What is the units digit of 3\/(-2)*p\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13829, -27599, -41367, -55133, -68897?\nAnswer: -82659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1540 - 1003. What is the smallest common multiple of i and 1074?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**5\/24 - 4*v**3\/3 - 1. Let r(p) be the third derivative of y(p). Calculate the remainder when r(-1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44878 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 = -v - 4*v. Let d = 133 - v. Let y(a) = -191*a + 4. What is the hundreds digit of y(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/267 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (100181 - 100181 + 343*u**2)*(-2 + 1 - 1)*(2 - 2 + 6)*(5 - 1 - 3) as l*u**2 + f + w*u and give l.\nAnswer: -4116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 418627 by -165.\nAnswer: -38057\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*d + 140, -351 = d + 3*i - 386. Solve -d*b - 12*b = -235 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/8743 or 1?\nAnswer: 20\/8743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:47 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/5320 and 107\/184072.\nAnswer: 920360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12563 - -12562.88703. What is x rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -879 + 1603. Let d = -426 + c. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.636 + -0.6. Round v to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-2 + -7)\/1. Let g be (-30 + 27)\/(2\/(-6))*1. Suppose -6*b = -g*b + t. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -66. List the prime factors of (-28)\/r*-4*9.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.30518 microseconds in nanoseconds?\nAnswer: 68305.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9, -3\/7, -2\/9, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + -3 - (-1 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.09453 times 317?\nAnswer: -3516.96601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4527*p**3 + 5466*p**2 - 42. Let m(d) = -1509*d**3 - 1822*d**2 + 12. Let x(o) = -7*m(o) - 2*s(o). Find the third derivative of x(j) wrt j.\nAnswer: 9054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 31*m**2 + 7*m**2 + 16*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 5*f + g + 100, -2*f - 5*g = -78. Suppose -z = -0*z - f. Let x = -23 + z. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/144)\/((-5)\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4 + 4 + 0*q + q. Suppose w + 2 = 3*h + 1, -5*w = h - 27. Calculate the remainder when h is divided by i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -21, -0.05, 2, 5\/8, 0.16?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 14*u + 84. Let s be q(-10). Let m be (-2)\/(-8) - 1*(-30)\/s. Which is the third smallest value? (a) m (b) 0.6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d + d)*(-2 + 5 - 1) + (2 - 11 - 28)*(-5*d + 0*d + 2*d).\nAnswer: 107*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 696 = -c, d + 5*c - 690 = -0*d. Suppose 5*x - g + 5 = d, 4*x - 552 = -5*g. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 3 + 0*n**2 + 10\/3*n**3 - 6*n. Differentiate x(q) with respect to q.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -133, -253, -421?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 91.587 - 18486\nAnswer: -18394.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 minutes before 7:44 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 8 - 7 = -c, -4*k = 4*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t - 680. Let u be t\/70 - 2\/(-14). Let o = u - -77\/40. Find the common denominator of -57\/8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 18*u = 5*d + 302, -5*u - d - 755 = 0. Let f = u - -154. Let v(h) be the third derivative of h**4\/8 - 2*h**3\/3 - h**2. Calculate v(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (2 + (-5 - 11))) + (9 - (-118 + 10))?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/59150 and 23\/3660.\nAnswer: 21648900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {i: 13, n: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25424 is divided by 625?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0 + 0*z**4 + 0*z + 1\/600*z**5 + 1\/6*z**3 + 3*z**2 - 1\/1800*z**6. Let k(y) be the first derivative of i(y). Factor k(x).\nAnswer: -x*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606 = 3*c - 4*u + 630, 5*c + 2*u + 40 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ac01 (base 16) in base 3?\nAnswer: -110020002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27655\/22 or -1258?\nAnswer: -27655\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 - 10\/(-4). Suppose 20 = -r + j*r. What is the remainder when 2 + (-196)\/(-12) - 12\/(-18) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 2:34 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 13*r**2 + 28*r + 26. Suppose -q = 1, 39*q - 37*q = -2*d - 20. Does 14 divide v(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 233104886?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*339\nAnswer: -33.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -96*m**2 + 75*m + 15. Let q(a) = 25*a**2 - 20*a - 4. Let r(y) = -15*q(y) - 4*s(y). Let o(u) = -30*u**2. Determine r(o(w)).\nAnswer: 8100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 16*w**2 + 16*w + 21. Let d be n(-15). Suppose 87 + 81 = d*a. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -39, -5, -3, 822.\nAnswer: -39, -5, -3, 1, 2, 822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 555*a + 1118. Let h be z(2). Solve -5*q - 39 = -3*o, 28 = -h*q + o + o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 2*r - 5, 9824*b + r - 5 = 9827*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20727, 20816, 20905, 20994, 21083?\nAnswer: 21172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 10:48 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 29 = 23. Let q be (-8)\/(-3) + 2\/(-3). Suppose -i + 100 = -4*c, -516 = -5*i + q*c + 2*c. Calculate the greatest common factor of i and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**2 + 7170*w + 2570445 = 0.\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -315 + 318. Solve 4*u = -m*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r*s*x**3 + 6*r*x**3 - 2*r*x**2 + 17451*s*x**3 + 10*s*x**2 + 67*x**3 + x**2 - 14*x wrt s.\nAnswer: -r*x**3 + 17451*x**3 + 10*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 7\/115?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*q + q - 11*q)*(5*q + 7*q - 4*q + (-1 + 2*q - 2*q - 2*q)*(-2 + 4 - 4)).\nAnswer: -240*q**2 - 40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.58, 1, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 3. Let q be p(0). Let d(g) = -g - 3. Let m be d(q). Suppose 4*y - 60 = -m*y. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1, 2, -2\/1155?\nAnswer: -2\/1155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-10)*(-3)\/(42\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -791302 to the nearest one thousand.\nAnswer: -791000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28431188 a multiple of 834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 78. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/13)\/((b\/b**(-1))\/b)*(b*b**0*b*b)**(-23))**(-4\/25))**(-2\/19) assuming b is positive.\nAnswer: b**(-7264\/6175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.24 - 0.06. Sort w, 1\/7, 30, -1 in ascending order.\nAnswer: -1, w, 1\/7, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57834*a*m**4 + 5*a*m - 129*a + m**2 wrt m.\nAnswer: 1388016*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -659, -457, -59, 631, 1709, 3271, 5413?\nAnswer: 8231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 - 11.78. Let k = m + 14. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/14 - (-26030)\/4. Let j = i - 169125\/26. Calculate the common denominator of j and 55\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2271.886 + -2277. Let y = -1.114 - r. Suppose 0 = 5*g + m + 1 + 3, -g - 3*m + 2 = 0. Sort y, g, -0.07, 0 in decreasing order.\nAnswer: y, 0, -0.07, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2056 and 20303?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/166, -2\/25, 19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -234156 > -234296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/12285305 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9959847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -6.2. Let m = v - 2.5. Put m, -0.1, 2\/15 in ascending order.\nAnswer: -0.1, 2\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139629 - 139642. Suppose 4*i = 18 - 6. Let q(d) = -d**2 + 3*d + 3. Let t be q(i). Put -1\/4, t, z in ascending order.\nAnswer: z, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 32*n + 27. What is h(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/3588 and -9\/152?\nAnswer: 136344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -15*z**2 + 2*z - 166. Let l(g) = 29*g**2 - 3*g + 166. Give 2*l(u) + 3*v(u).\nAnswer: 13*u**2 - 166","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -76843*b - 76841. Give n(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 99) + (-42 - -114)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203101 - 302?\nAnswer: -210003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*l - 18857, 2*p = 9*l - 45922 + 11979. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1113*v + 8*v**2 - 1404*v - 5*v**2 + (-2*v + 5 - 5)*(2*v + 2 - 2))*(6 - 3*v - 4 + 2*v) in the form r*v + m + d*v**3 + c*v**2 and give r.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1139*m**2 - 1121*m**2 + 1333*m**2 as j*m**2 + i*m + y and give j.\nAnswer: -927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1302 - 1905. Let d = 286 - p. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 173676.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -9?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 4)*(5 - 5 + 2)*(-5 + 3 + 4)*(-3*u + u + 3*u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15.115 and -3534.\nAnswer: -3518.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(6 + 2*s - 6) to u + h*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6949946.\nAnswer: 2, 79, 43987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, l: 4, q: 2, e: 1}. What is prob of picking 1 l and 1 s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/12 - 169*z. Let n = 5 + -4. Let r(p) = -27*p**2. Let j(d) = n*r(d) - 6*v(d). Let l(q) = q. Determine l(j(x)).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2331055685 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 5*b - 2*g + 6*g, -4*b + 49 = 5*g. Suppose 0 = -3*m - b - 7. Let k be 18\/1*m\/(-9). Calculate the highest common divisor of 18 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10667*c**3 - 87*c**2 - 4485808 wrt c.\nAnswer: -32001*c**2 - 174*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:50 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1153 - 15?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6694*b**3 + 7*b**2 + 45*b - 112. What are the prime factors of k(2)?\nAnswer: 2, 61, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12 = -4*l, -x = x + 5*l + 29. Let y be 139\/(-17) + (23 - 320\/20). Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 1. Let y be (((-3)\/(-2))\/(-3))\/(297\/7722). Give c(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 6\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 535558873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 7*b**2 - 5*b - 4. Let i be k(6). Suppose -5*c - v + 59 = 0, 0 = -5*c + 6*v - i*v + 64. Solve -c = -4*m, p - 2*m + 15 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, 0.2, 3\/2, -13?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141950*h - 68*h**2 + 154*h**2 - 87*h**2 + 141950*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + -100. What is the tens digit of (10\/(-4))\/(g\/540)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**3*q**5 + d**3*q**4 + 6*d**3 - 8*q**2 wrt q?\nAnswer: -420*d**3*q**2 + 24*d**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001430121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2 + 763812*f = 0. Calculate f.\nAnswer: 0, 190953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802599777.\nAnswer: 3, 7, 47, 271057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118225?\nAnswer: 5, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265666639.\nAnswer: 7, 373, 101749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104 - (21 + 33) - (-8 + 1 + 4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 1\/3, 56, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420*t - 417*t - 27 = 0. What is the remainder when 9 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(2\/13*161\/38640*780)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 32 - 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1380213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {f: 1, n: 16, l: 1}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u - 4219 = -3702. Put u, -2, -5, 5 in decreasing order.\nAnswer: u, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -405 - -408. Which is the biggest value? (a) 124 (b) 6\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524908 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-81)\/18*4\/(-6). Suppose -106 + 304 = n*a. What is the tens digit of (-11)\/11 + 1 + a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 7*b + (0 + 6 - 2)*(90*b + 43*b - 41*b) to z*b + q and give z.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + 2*c**2 + 4*c**2 + (-2*c**2 + 2*c**2 - 3*c**2)*(2 - 7 + 4) + c**2 + 0*c**2 + c**2 + (c**2 + 0*c**2 + c**2)*(46 + 28 - 96).\nAnswer: -37*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 31 + 23)*(2 - 1 - 3)*(-3 + 3 + 2)*(-3*h + 2*h + 0*h) in the form k*h + r and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -436730 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2459*p + 2461*p = 3*d + 7, -4*p = 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9.14, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 4:27 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7260*r**3*t**2 + 43*r**3*t + 81*r**2*t**2 + 2*r**2 - 15*r*t**2 - r wrt r?\nAnswer: 43560*t**2 + 258*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.4817913 to 2 decimal places.\nAnswer: -113.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1048*z**2 - 964 wrt z?\nAnswer: -2096*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*v + 246 = 0, 8*q - 357 = 3*q - 2*v. What is the remainder when 136 is divided by q?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-192)\/80)\/((-1)\/(-5)*-1). Solve 0 = 4*o - 5*w + 3, 0 = 5*w - w - r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -5*d - 4*q, -31*q = -4*d - 35*q + 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**6\/2 + 7*o**5\/20 + o**4\/8 - 14*o**2 + 6. Find the third derivative of t(p) wrt p.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 383 and 7.\nAnswer: 2681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1216)*-1 + sqrt(1216) - (1 + -1*sqrt(1216) - sqrt(1216)) - (-3 + -4*(1 + sqrt(1216)*-1)))**2.\nAnswer: -192*sqrt(19) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4 - 272*p**3 - 228*p**2 + 2648*p - 2144 = 0.\nAnswer: -67, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 11527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2\/6 - 125*d\/3 - 15625\/6 = 0.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -114*j**2 - 2*j + 4. Let s(r) = -114*r**2 - 2*r + 2. Calculate 3*f(k) - 2*s(k).\nAnswer: -114*k**2 - 2*k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5 - 200*s**4 + 1380*s**3 + 50360*s**2 + 95770*s + 46992 = 0.\nAnswer: -11, -1, 24, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(9\/4)*t*t\/(t**(-1\/2)\/t))**(-43))**(-1\/19) assuming t is positive.\nAnswer: t**(989\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = u - 5*w - 19, 2*u - 2 = w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(-10)*150\/20. Suppose 14*c + 15 = 85. Find the second derivative of k*b + 256*b**c - 221*b**5 - 2*b wrt b.\nAnswer: 700*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 574072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 309\/172 - (-5140)\/(-110510). Factor 5\/4*r**2 + 13\/4*r + i - 1\/4*r**3.\nAnswer: -(r - 7)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**6\/60 - z**4\/8 + 2*z**2. Let r(v) = 5*v**3 + 8*v. Let h(w) = w**2 - 6. Let k be h(3). Determine k*r(x) + 8*m(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1814 = 2*j, 786 = 4*k + 4*j - 682. Let z = k - 349. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/257 - -261\/1028. What is the smallest value in 1\/11, c, 2\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by 187.\nAnswer: 49\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 103119.15 months?\nAnswer: 8.5932625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 less than 2392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 8*r + 5. Suppose 0 = -6*b - 4*b + 50. Calculate a(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 12 = -4*m. Let t = -2 + 3. What is the nearest to -2 in -0.4, t, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g - 6. Let f be (-20)\/g*(-24)\/20. Suppose f = -3*d + 38. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4*(6 + -5) + 5). Put x, -3, -570 in ascending order.\nAnswer: -570, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 173, 166, 159, 152?\n\"Answer: -7*j + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 780 or 778?\nAnswer: 778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:49 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 63*c**2 + 74*c - 481. Calculate a(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -2*f**6\/15 - 5*f**3\/6 + 2*f. Find the second derivative of k(z) wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {s: 19, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12051 rounded to 3 dps?\nAnswer: -0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12963, 24591, 36219, 47847?\n\"Answer: 11628*d + 1335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 z, and 1 n when four letters picked without replacement from {k: 2, e: 2, y: 1, z: 4, n: 3, g: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.1 - 26.08. What is the third smallest value in 3, g, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/236 and -19\/14396.\nAnswer: 14396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p. Let c be (-2 - -4) + 0 - p. Let 2*r**2 + 4*r**3 - 8*r**c - 2 + 1 + 4*r - r**4 = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308293959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + p + 62. Let q(s) = -121*s - 107*s + 227*s. Calculate q(o(u)).\nAnswer: -2*u**2 - u - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 8*w**2 + 2*w + 9. Let r be i(-8). Let o be (-2)\/9 + 20\/9. Suppose 0 = -o*k - 14. Do r and k have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 10944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/4*(14 - 0)*1. Let w = -102 + v. Let k = -1 + 60. What is the remainder when k is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24*(3 + (-9)\/4). Let g be (-405)\/10*2\/(-3). Let p = g - o. What is the remainder when 44 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/968 and 101\/15972.\nAnswer: 31944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 147894658*s**2 - 295789310*s + 147894654.\nAnswer: -2*(s - 73947327)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 208*v**3 - 22*v**2 - 35*v - 5. Let r(s) = 70*s**3 - s**2 - s - 1. Let j(g) = -3*r(g) + u(g). What is j(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = 10*x + 45. Solve -19 = -3*a - 4*u, 3*a - x = 4*u - 22 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (605\/121)\/(5\/(-14))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 20*l**2 - 19*l - 38. Let m be g(21). What is the second derivative of -10*o**3 - 11414*o**4 - o**5 + 11414*o**m - 12*o wrt o?\nAnswer: -20*o**3 - 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 138*i + 430189 - 6497560 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j + 11*j = 14*j + 2132. Solve 0 = 19*v - 50 + j for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 825 and 17475?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-89 - -66) + (-2 - (-61 - 1))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3616 divided by -3616\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 11) to base 4\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/2 (b) 1\/5 (c) 0.5 (d) 9 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249231583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1002 - -998. Sort j, -2.7, 2\/13 in increasing order.\nAnswer: j, -2.7, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a - 3*a)*(2*a - 2*a + 3*a)*(3787 + 38*a - 3787) - a + a - 2*a**3 + (-2*a**2 - a + a)*(a + 3 - 3).\nAnswer: -232*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*y - 2 = 0, 0*y - 2 = -p - y. Let l = 6 + -6. Suppose m - p = -l*m. Solve 0 = 4*d + m - 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/63 at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z - 8. Let n be u(-6). What is the lowest common multiple of (12\/(-4))\/(6\/n) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645981787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 8 + 22. Suppose 0 = -h + v - 3. Suppose 12 = -h*m + 123. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -5, 65\/9, 4\/7 in descending order.\nAnswer: 65\/9, 2, 4\/7, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {o: 14, j: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {a: 2, b: 6, j: 1, v: 1, r: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = 4*w - 4*l, 4*l - 4 = 4*w. Suppose -6*o + 1826 - 518 = 0. Suppose 10 = -5*f, w*h - 4*f = 4*h - o. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 19. Let m be j(-8). Determine u, given that 3\/7*u**m + 0 - 6\/7*u**2 + 3\/7*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 224 - 209. Let l be 5\/((3 - -3) + -5) + w. What is the greatest common factor of 490 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79178 less than 1.89?\nAnswer: -79176.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 30. Let m = -66 - -94. Suppose -4*b + 20 = -m. Solve 0 = -3*q + b, -t + 3*q = t + o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from yanfnaynnfwnnayaa?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 996\/(-240) - (-3)\/(-12) - -4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14106 - 9415. List the prime factors of x.\nAnswer: 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -43, -38, 1, 86, 229, 442?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(175) + 1 - (0 + sqrt(175))*3) + 2 - (sqrt(63)\/((-1*sqrt(45))\/sqrt(5) - sqrt(9)) + 3*4*2*sqrt(7)))**2.\nAnswer: 67*sqrt(7) + 31427\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i = 0. Suppose i - 12 = -3*c. Solve 2*l - 5*r - 6 = 0, -3*r = -c*l - r + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47974 and 93790.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19932 and 5508480.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvsqqfb. Give prob of sequence bs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90959 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293*t = 270*t. Solve 0 = 2*u - u, -5*l + 3*u - 20 = t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 39272 divided by 1?\nAnswer: 39272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6 + 0 - 2 - n**2 + 5 + 17*n. Let r be w(16). Let s = r + 8. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*s + 3*s. Let i(n) = -3*n**2 + s*n**2 - 4*n**2 + 4*n**2. Let x(p) = 2*p. Give i(x(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-5\/4)))\/(p**(1\/7)\/p)*p**(-9\/7)*p*p\/((p**(4\/13)\/p)\/p) assuming p is positive.\nAnswer: p**(1643\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 + -67. Suppose i = 8*q - 18 + 2. Suppose -q*b - x - 3 + 26 = 0, 3*b = 2*x + 38. Solve -2*f = 3*f + s - 20, 0 = -f + 3*s - b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8993.502 millennia to months.\nAnswer: 107922024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bc + 6a2d6?\nAnswer: 6a3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*v - 330*v = 7740 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -1 + -2 - (sqrt(539)*1 + 4))**2*-4.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 254487070.04 - -4975997.96. Let t = -259463054.5999869 + i. Let p = t - 13.4. What is p rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((162\/837)\/2)\/((483\/(-28))\/23)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 17*q**2 + 4*q**3 - 6*q**2.\nAnswer: 7*q**3 + 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -449, -555, -733, -983, -1305?\n\"Answer: -36*y**2 + 2*y - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 o when three letters picked without replacement from {o: 1, w: 1, u: 2, q: 4, t: 2, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgggggjjgtjgjg. Give prob of sequence jtgj.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70391026 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 131959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 0*a**6 + 0*a**5 - 30\/7*a**7 + 0*a**4 + 29\/3*a**3 - 12 + 0*a**2 + 0*a. What is the third derivative of o(q) wrt q?\nAnswer: -3600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-46)\/(-8) - (-1)\/4. Suppose -62 = -q + 10. Suppose 0 = 3*t + t - q. What is the highest common factor of f and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-94)\/(-141))\/(2\/(-9)*-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246281 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 921536516 to the power of 1\/2, to the nearest integer?\nAnswer: 30357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*k + 13077 - 13076 + 4*k**3 + k**2 + k**2 to the form l*k + v*k**3 + w*k**2 + r and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**5\/50 + k**3\/5 + 2*k**2\/5 - 4*k + 11. Find s such that w(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - -2. Suppose 4*v - 6*h - n = -4*h, 2*v + 3*h = 22. Suppose -v*i + 22 = 2. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6245.542 - 6245.58990483. Let a = 1114.6 - 1114.6479. Let o = a - j. Round o to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80936739 and 936.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:32 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -45223 - 4*o**2 + 22612 + 3*o**2 + 22611. Let v(j) = 594*j. Give v(t(s)).\nAnswer: -594*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 93*v + 55. Let c be n(46). Solve -34*o - 100 = -c*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15335 is divided by 945.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < -144148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 10*16\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-six fifths of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56029972 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/(-621))\/(7\/28)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/((-9)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 1, -6764?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 89243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10288782577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6014 - -1?\nAnswer: 6015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -420360 + 420354.999928. Let i = m + 5. Round i to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 26\/39 + 28\/3 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6627 and 1262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 6*m**2 - 6*m - 5. Let a be p(7). Suppose -2*x - 144010 = -2*l, -2*x - 5*l + a*l - 143985 = 0. Round x to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 532\/24 - (-2)\/(-12). Suppose -2 - u = -6*n. Solve -4*t - 4*i = n, 2*t - 5*i = -3*i - 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -3*n + 3984. Let o = -10976\/11 - n. Calculate the common denominator of 34\/11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3000 by 50.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 234121 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: What are the prime factors of 463979702?\nAnswer: 2, 53, 4377167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19317*u + 19312*u - 38630*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3619343 less than or equal to 3619340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 2*z**3\/3 - 10*z**2 + 5*z. Differentiate j(v) with respect to v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 11*x - 195. Let i = x - 59. Let 32*p**2 + 7*p**3 - i*p**3 + 64*p + 3*p**3 = 0. What is p?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 19, -4, 5 in decreasing order.\nAnswer: 19, 5, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1 - 9 + 0 - t + 1. Determine c(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2278126 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**2 + 10*s**2 - 1 - 1 + 7 wrt s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000129642 rounded to 7 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48944 by 6118.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 138.84312 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 883297840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-16))\/((-2)\/16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234114534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98\/3 + -94\/3. What is the fourth smallest value in 5, 3, -1\/5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + 3*x**3 + 5*x**3)*(1 - 4 + 0)*(0 - 2 + 3).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2*8\/(-2). Let w = t + -10. What is the least common multiple of 10 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 3\/30368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788858?\nAnswer: 2, 7, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1950 and 260975?\nAnswer: 1565850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 220281*i**5 - 25*i**4*n**3 - 69*i*n**3 - 120305*n**3 wrt i.\nAnswer: 4405620*i**3 - 300*i**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1131831731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2125 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 3)*(-4*a - a**5 - a**5 - 4*a).\nAnswer: 18*a**5 + 72*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2278?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/452832 and 1\/55585128.\nAnswer: 222340512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*n**3 + 76*n**3 - 38*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -49 + 56 - (-49 - -6)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((2 + 5 - (-4 + 11)) + 14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 14*n**2 + 1317*n - 19681. Give g(15).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4)*x)\/x**(-6\/5)*x**(-5\/4)\/((x\/(x*x*x**7\/x))\/x) assuming x is positive.\nAnswer: x**(87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/85)\/((-8)\/10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-26)\/(-16) - 2) + (-49740592)\/6164352. Let m = 2\/5351 - r. Which is greater: m or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9472056*d**3 - 3*d**2 - 9472060*d**3 + 3*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -17*b + 1. Let a(j) be the third derivative of -17*j**4\/8 + j**3\/2 - 10013*j**2. Determine 4*a(c) - 11*i(c).\nAnswer: -17*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-2)*(-14)\/((-2268)\/306)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*a + 4*t + 47, -5*a + 133 = -2*t. Solve -a*g + 65 - 173 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i - 32. Suppose -2*p + i = -0*p. Solve -5*s + 3*s - 5*l - 24 = 0, -2*s + p = -2*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/15)\/w)**(2\/5)\/(w*w\/w**(-7))**(-48) assuming w is positive.\nAnswer: w**(32398\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1104872*i**2 + 9*i**3 - 368283*i**2 - 368295*i**2 - 368294*i**2.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 389578923 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**4 - 24601*d**3 - 6*d**2 + 65601064*d?\nAnswer: -36*d**2 - 147606*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -574.0685803201 - 0.1416193199. Let d = c - -574.0202. Let a = d - -0.19. Round a to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58820 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -5*a + 21, 12*a = 14*a + y - 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/15*-1 + 171\/190*-2. Put -2, m, 1216 in descending order.\nAnswer: 1216, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005575883 rounded to 4 dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6)*218\/((-2)\/1)*111. Which is smaller: -4032 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + (5 + (3 + sqrt(2) + 0 + 4*(sqrt(2) + 0))*-4)*6.\nAnswer: -120*sqrt(2) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/52402595 and -67\/2193597?\nAnswer: 471623355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208031948 by 25516.\nAnswer: 8153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10103 (base 4) in base 11?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f - 1. Let k(r) = -7*r**3 - 4*r**2 - 9*r + 6. Give -6*i(s) - k(s).\nAnswer: 7*s**3 - 2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*q = 1502*q - 13708 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7741 is divided by 516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -6*x + 3400. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -16, 13, 54, 107, 172, 249?\n\"Answer: 6*n**2 - n - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = g - 7, 3*f + 3*g + 8 = -7. Let s(u) = u**3 + 5*u**2 - 5*u - 2. What is s(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(147) + sqrt(147) + -2))**2 - (sqrt(21)\/(sqrt(21)\/sqrt(3)*-6))**2.\nAnswer: -224*sqrt(3) + 28415\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 54*n - 53. Let t be x(1). Let d be (-1 - 0) + 5 + -1. Suppose -10*m - 14\/3*m**t - 6 - 2\/3*m**d = 0. What is m?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4250 is divided by 11\/(18183\/38133) + 2\/(-29)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*j - 61*j + 169 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z + z)*(1 + z**2 - 1)*(51*z + 117 - 117).\nAnswer: 102*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13440 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.37 and 16325221.815?\nAnswer: 16325218.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k - 1. Give r(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*t - 20 = 0, 5*l - 16 = l - 4*t. What is the greatest common factor of l and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeeeijji. Give prob of picking 2 j and 1 e.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10034514 by -17983.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 4. Let d be -3 + 1*(-4)\/4. Determine k(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + 3 + 0)\/((-7)\/(-49))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 3*k**2 - 2. Let r be v(3). Suppose 0 = -6*c - 156 - 1572. Let g = c + 2013\/7. What is the smallest value in 2, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 - g**4 - 2*g**4 + (3*g**3 + 0*g**3 + 2*g**3)*(g - 3 + 3) as l + q*g**3 + t*g + z*g**4 + m*g**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1473 and 2026357?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1 - 42) + (-14 - -26) + -9\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -25. Let n(s) = 7*s**3 + 12*s**2 + 4*s - 1. Let d(i) = 6*i**3 + 11*i**2 + 4*i - 2. Let g(x) = 6*d(x) - 5*n(x). Calculate g(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y + 61*y = -240 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 28\/11 and -68708\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.3, -1.21148 in ascending order.\nAnswer: -5, -1.21148, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6*(-66)\/22. Let -375*i**3 + 66*i**s - 236*i**2 + 24 - 40*i**2 + 13*i - i - 42*i**5 - 219*i**4 = 0. Calculate i.\nAnswer: -2, -1, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 14*j**2 - 2*j + 32. Let z be d(-14). Let n = z - 60. Solve 2*m - 5*m + 6 = n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1959 (b) -3\/8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t - 8*t + 12556*t**2 - 617*t**2 + (0*t + 2*t + 0*t)*(-t + 2*t - 2*t) - 2*t**2 + 0*t + 0*t.\nAnswer: 11935*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15999, -63295, -142097, -252405, -394219?\n\"Answer: -15753*t**2 - 37*t - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/45*(-2835)\/(-42).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from fmcmfffgmgmmmumm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.2 - -9. Let v = 2 + 6. Let i = -6 + v. What is the second smallest value in p, -3, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2265 - -2268. Let x = 0.3 - 0.28. What is the third smallest value in u, -0.5, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14023, 13548, 12765, 11680, 10299?\nAnswer: 8628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/((-1035)\/30))\/((-1)\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 55 = -147. Suppose l = g + g. Let v = 66 + -53. Calculate the remainder when g is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f*h*v + 314*f*h + 3*f*v - 145*h*v**2 - 148*h*v - 4049*h wrt v.\nAnswer: 4*f*h + 3*f - 290*h*v - 148*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(18)\/sqrt(6) - ((sqrt(48)\/sqrt(4))**2 - sqrt(3)) - (5*(sqrt(147) + 3 + -1))**2.\nAnswer: -3783 - 698*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 61*l - 59*l = -18616, 0 = -5*x + l + 23264. List the prime factors of x.\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -17*m + 13*m. Sort -2, -4, m.\nAnswer: -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(16*s**3 + 14*s**3 - 2*s**3).\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/36803550 and 17\/560816?\nAnswer: 294428400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t + 28. Let i(w) = -20*w + 40. What is the least common multiple of i(t) and 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -43812779.8.\nAnswer: -4381277.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**4 + 15*c**3 - 35*c**2 + 160*c + 115. Let d(h) = 3*h**4 - 17*h**2 + 80*h + 58. Let t(b) = -5*d(b) + 2*g(b). Factor t(v).\nAnswer: -5*(v - 6)*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 151*4\/3*1 - (-1320)\/(-990). What is the greatest common divisor of a and 272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**2 + 319 + j**4 - 70383051*j + 70383051*j to d*j + b*j**4 + t*j**2 + z + v*j**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 7139?\nAnswer: -49973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*j + 19*j + 5*g - 18, -5*j - 3*g = 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 9. Let x be l\/3*(4 - 7). Suppose w + 12 = x*w. Calculate the remainder when 7 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from hhiiih?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)\/n*n**(-1\/3))**(-1\/8)*(n**(-1))**50\/(n**4*n**(-1)*n) assuming n is positive.\nAnswer: n**(-1277\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l**2 + 5*l**2 - 5*l**3 - 18*l**3 in the form j*l**3 + n*l + p + b*l**2 and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441360 and 2640.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5586826 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 67, 7, -2, 38, -5 in decreasing order.\nAnswer: 67, 38, 7, 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381465051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 44.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let i(j) = 2 + 3*j + 9 - 2*j. Let h(y) = i(y) - 3*x(y). Let r(k) = 6 - 30 + 9 - k + 12. Give -6*h(f) - 22*r(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5 + 8, -5*y = -3*f + 213. Let l(b) = b**3 + 43*b**2 + 43*b + 49. What is the remainder when 22 is divided by l(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 30. Let k be n(-33). Let x be k + 0 - (-5 - -5) - 3. Solve x = -5*a - 3*w - 1, 0 = 2*a - 3*a + w + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**5\/20 - 37*z**4\/8 + 105*z**3 + 4*z**2 - 206*z. What is o in u(o) = 0?\nAnswer: 7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.3528 + 0.2798. Let o = m + 0.073. What is the closest to o in -0.1, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 7*p**2 - 7*p - 10. What are the prime factors of m(-7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 5*v - v + (2*v - 3*v + 3*v)*(4 + 0 - 3) + (-4*v - v - 4*v)*(60 - 92 + 60).\nAnswer: -248*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50514982697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 561\/66 - (-45)\/(-6). Calculate the highest common factor of 3833 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*g - 34*g + 240 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267444567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -447 (base 12) to base 16.\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -308*m**3*z + m**2*z**3 - 7*m*z**3 - m*z - 2 wrt m?\nAnswer: -1848*m*z + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41153\/8 - 5137. What is the common denominator of (1\/((-84)\/(-15)))\/(42\/35) and w?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19093.9359 - 19095. Let h = -1.07 - g. What is h rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198\/5 + 937\/20. Let k = 16633\/300 - 2268878\/40425. Let n = k - -1\/2156. Calculate the common denominator of q and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 68*g - 149. Let v(u) be the second derivative of 7\/6*u**3 + 1\/20*u**5 - 1\/2*u**2 + 0 - 7\/12*u**g - u. Calculate v(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-14 - 0) - (-6985 - -6867).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -1\/2*r**2 + 36 + 71\/2*r = 0?\nAnswer: -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65045, 65033, 65013, 64985, 64949, 64905, 64853?\nAnswer: 64793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25542201 + 13?\nAnswer: -25542144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/3)*q\/(q**(2\/9)\/q)*q*q*q*q*q\/q**(-5\/3)*q*q\/(q*q**(-5)*q)*(q\/(q*q*q**5)*(q\/(((q**(-3)\/q)\/q*q)\/q))\/q)**(-2\/5) assuming q is positive.\nAnswer: q**(608\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/19*s**3 + 260\/19*s + 400\/19 + 26\/19*s**2.\nAnswer: -2*(s - 20)*(s + 2)*(s + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -191*c**2 - 35*c + 6. Let w = 27 + -25. Let f(n) = 38*n**2 + 7*n - 1. Let m(x) = w*d(x) + 11*f(x). What is the second derivative of m(a) wrt a?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 709416744 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 423.7317 kilograms?\nAnswer: 423731700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 5 + -12 + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-10)\/12))\/(292\/730)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -14*o**2. Let s(p) = 5*p**2 + 7*p**2 - 24*p**2 + 13*p**2. Calculate s(n(y)).\nAnswer: 196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82126?\nAnswer: 2, 11, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1)*q)\/q)\/q)**(-21)*(q**(-6)\/q)\/(q\/(q\/q**(-6))) assuming q is positive.\nAnswer: q**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -2\/9 (b) 2\/5 (c) -3 (d) -0.15 (e) 6564 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by 6.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 (base 16) in base 9?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3126 + 5?\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 294198 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: In base 16, what is 4 + 1a194?\nAnswer: 1a198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5033, -9972, -14911, -19850?\n\"Answer: -4939*d - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 5*s**2 + 6*s + 2. Let d(o) = o - 7. Calculate the least common multiple of h(6) and d(21).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**8\/336 + u**7\/105 - 3*u**6\/20 + 8*u**5\/15 - 23*u**4\/24 + u**3 + 20*u**2. Let r(c) = 0. Calculate c.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((7 + -3)\/(-8)). Let l(k) = -4*k**c - 3*k**2 + 3*k**2. Let m = -1 - -5. Let z(i) = -i**3 + 3*i**2. Determine m*z(y) + 3*l(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10380 - 10384. Put -0.1, 1, 0.7, 5, j in decreasing order.\nAnswer: 5, 1, 0.7, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. Suppose 4*f - 32 = -3*u, -2*f = -2*u - 0 - 2. What is the second biggest value in o, u, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**5\/20 + 11*x**4\/4 - 121*x**3\/2 + x**2 - 7. Factor n(c).\nAnswer: -3*(c - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3448425 divided by -137937\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 54 = 3*t, -t - 5*g + 2654 - 1353 = 1340 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-75)\/(-108))\/5)\/(1901\/(-7604)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*r + 658. Let z be r\/4 - 6\/4. What is the units digit of z*((-44)\/20 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 10*g. Let a be i(7). Let h(v) = v**2 - 3*v - 14. Let l be h(-4). What is the greatest common divisor of l and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15853, -31708, -47567, -63430, -79297, -95168, -111043?\nAnswer: -126922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -s - 59 - 72, 3*l - 99 = s. Suppose -l - 4 = -u. Suppose -y + 34 = -u. What are the prime factors of y?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 351*m**2 - 299 + 300*m**2 - 269 + 568 in the form z*m + v*m**2 + a and give v.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*s - 12 = -4*z - 76*s, -31 = -3*z + 4*s. Calculate the smallest common multiple of 1085 and z.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -462*u**2 + u. Let l(w) = -6*w - 9*w + w + 11*w + w. What is d(l(g))?\nAnswer: -1848*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4200 and -187\/89700.\nAnswer: 1255800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61 and 1.334.\nAnswer: -81.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -11181611.\nAnswer: 1\/11181611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -13. Let y = t - 10. Let f be 54\/(-4)*4\/y. Solve -17 = -5*s + 2*b + 4, f = 5*s - 4*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 3*f - 10, 324*z + 291*z = 617*z + 8*f + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3\/2 - 177535*j**2 + 6303735245*j\/2.\nAnswer: 5*j*(j - 35507)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1454.4 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1940 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -5 + (4 - 13)*-6402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*x + 29*x - 12*x to j*x + z and give j.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 3. Suppose 0 = i*o - 13 - 2. Solve -o*f = -3*h, -6*h - 3 = -2*h - f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) 0 (c) -0.035\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3486 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhhrppphhrhrhpr. Give prob of sequence hprp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2768921 = 4*c - 3*h - 1803876, 3*c + 2*h - 3429602 = 0. What is c rounded to the nearest ten thousand?\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(18\/5))**41*c*c**(-19)*c*c*c**(-6\/7) assuming c is positive.\nAnswer: c**(6011\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m**2 + 0*m**2 + m**2)*(-3 + 5 - 3)*(1 - 2 - 1 + (-2 + 2 + 2)*(-3 + 3 - 2)) to the form r*m + h*m**2 + g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from snssnqnsff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 683, -10\/9, -10245\/4 in descending order.\nAnswer: 683, -10\/9, -10245\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 6*i**2 - 6*i + 7. Let f be -6 + (-7)\/(-21) + (-8)\/6. Give u(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2369 + -11843\/5. Factor 0 + 1\/5*o**3 + 0*o + u*o**2.\nAnswer: o**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2445755600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -646875 divided by 25875\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 8:07 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365675*-0.0794.\nAnswer: 29034.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (-4*(sqrt(77)*4 - sqrt(77)) - sqrt(77)) + sqrt(77))*-3)\/((-6*sqrt(110)*-1 + sqrt(110))\/sqrt(10)).\nAnswer: 33*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 382*p - 17. Give k(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 8*c + 27. Let s be a(12). Let h = s + -73. Suppose 2*t - t = 3*u + 6, 0 = 3*t + h*u - 7. Solve 5 + 11 = 4*m - t*p, -p + 4 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4037*m - 4032*m + 4*x, -5*x - 11 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170)*-1*-5 - sqrt(170)))\/((sqrt(40)*-2 + sqrt(40))\/sqrt(4)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 7. Let a be (-326)\/30 - s\/(-3). Let y = 673\/65 + a. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**3 + 7 + 3*n - 5 - n - 27*n**3. Let s be o(-1). What is the greatest common factor of s and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63638?\nAnswer: 2, 47, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-1)\/(-8) - (-1530)\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 849*j**3 + j + 5*j**4 + 1683*j**3 - 836*j**3 as l*j**2 + c + v*j**3 + t*j + h*j**4 and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199185 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:35 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -14239 (b) -0.081 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 1. What is the second derivative of -2*v**5 + v**5 - c*v - 7*v**5 + v**5 wrt v?\nAnswer: -140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 22*v - 50. Let p be m(-18). What is the greatest common divisor of p and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i**3 + 1348*i**2 + 5356*i + 252 = 0 for i.\nAnswer: -9, -7, -1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 4816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 20*t - 1016. Determine q(51).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34916 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 2442531?\nAnswer: 2442531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36510698593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 1.93, -0.2, -1, 0.24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 9 = 17 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -106. What is the remainder when i is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5747 + -5746.66. What is the biggest value in -7, m, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21016494 + 12?\nAnswer: 21016506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -0.21, -1, 0.6, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -66, 0, 4 in increasing order.\nAnswer: -66, 0, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(2*sqrt(7)) + 0.\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172.3 - -246. Let u = 54.7 - j. Sort -4, 0.5, u in decreasing order.\nAnswer: 0.5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r. Suppose -g - 2*g + 60 = r. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 5*o = 11, -7*d + 15 = -29*o + 26*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 4 + (sqrt(684) - (sqrt(684) + 0)) + sqrt(684) + sqrt(684) + 1 + sqrt(684)*2 + -3)**2 - (((sqrt(684) + -1)*-1*-1)**2 + 0).\nAnswer: 132*sqrt(19) + 16419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {j: 11, z: 3, p: 2, k: 3}.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2. Let l(o) = -23*o**2 - 20*o. Let b(u) = -l(u) - 3*n(u). What is the second derivative of b(y) wrt y?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*m + 18 = 0, -24 = -3*x + m - 0*m. Let i = x + -7. Is 30 + (3 - 4\/i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) -4.9 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztztzzzztztzztgtg. Give prob of picking 1 g and 3 z.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t**2 + 11*t - 1. Let o(q) = 6*q**2 - 6*q + 1. Let h(y) = -11*o(y) - 6*v(y). Let z(n) = n**2 - 1. Give -4*h(d) + 20*z(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -23*g**2 + 42*g - 1. Calculate the least common multiple of 11\/2 - 1\/(-2) and o(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12212.08 and -0.23.\nAnswer: 2808.7784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-86)\/(-2) + (-1 - 2). Suppose h - 46 = -2*s. Solve m = s*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -440.1 + 440. Which is bigger: -418 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-14\/9)\/f)**30*f*f**(15\/8)*f**(-1\/26))**(-7\/3) assuming f is positive.\nAnswer: f**(161245\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**4 + 924082*l**3 - 405*l**2 + 877*l - 1.\nAnswer: -24*l + 5544492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5035, 5025, 5017, 5011, 5007?\n\"Answer: b**2 - 13*b + 5047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3597 divided by -58194?\nAnswer: -1199\/19398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*l - 25*l + 88*l - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -166 and 67.\nAnswer: -11122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 - 1 + 1)*(-2 + u - 1 + 0).\nAnswer: -6*u**3 + 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.7 and 1596.\nAnswer: -12289.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 4*g**2 - g + 1. Let b be w(-3). Let a = b + 25. Let x = a + -27. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/361228 and -11\/192836.\nAnswer: 25647188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*j - 783 = 0, 3*j = -3*s - 1104 + 3501. Calculate the highest common factor of 30 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 26908, 85, 1?\nAnswer: 26908","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 7*v**2 + 5*v + 6. Let p be l(6). Solve p = -n - 4*t - 5, n + 3 + 2 = -2*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71.4 - 72.8144. Let u = -1.4 - n. What is u rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7215 - 7219. Sort 494, 8, h in ascending order.\nAnswer: h, 8, 494","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-1.3\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72635760?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12434 + -186172\/15. Let g = -12\/2857 - 631277\/28570. Let l = c + g. Find the common denominator of l and -91\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -51*a + 1. Let k(z) = 5*z**2 + 3*z. Let s(c) = 8*c**2 + 5*c. Let o(y) = -5*k(y) + 3*s(y). Give w(o(r)).\nAnswer: 51*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 132776 divided by 4\nAnswer: 33194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**8\/336 - y**7\/210 - y**5\/6 - 59*y**2. Find the third derivative of d(h) wrt h.\nAnswer: -60*h**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157 - -1725\/11. Which is the second biggest value? (a) 4 (b) z (c) 2\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1233273, -2466543, -3699813, -4933083, -6166353, -7399623?\n\"Answer: -1233270*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3*21\/(-33705))\/(((-128)\/40)\/(-16))\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a + 2*a - a**3 + 8 + 6*a**2 - 3. Let k(w) = w**2 - w. Let u be k(3). Give f(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 1.5 (c) 0.5284 (d) 0.4 (e) 2 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044888 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 2*a + 11241. Let p be g(0). Suppose 4*n - p = -5*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/19661 - -19631\/98305. Let p = -4.6 + 4. Is p at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/1007114 and -17\/246091268.\nAnswer: 4183551556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11849?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127099046 + 127099046 - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 + (8354\/72 - -3). Let v = -120 + x. Is v > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14762229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19\/(-76) - 2\/(-8). Suppose m*s = -2*s + n - 68, -5*s - 167 = -n. Let u = s + 178. Is u a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29303\/3 > -9769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*j - 8 = 0, -3*g + 4*j - 7208 + 7200 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091241029.3 rounded to the nearest 1000000?\nAnswer: 1091000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 3. Let m be 8*(-9 + 70\/8). What is the biggest value in w, 1\/5, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9349 + 28069\/3. Let x(r) be the first derivative of 0*r - 15 + d*r**3 + 0*r**2. Let k(y) = -y. Give x(k(m)).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 0*y + 0*y + 2*y. Let q(c) = c + 6. Let w(n) = 1. Let x(p) = q(p) - 6*w(p). What is d(x(r))?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1804291 and 19923.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*z + 100*z + 4*d + 8 = 0, -4*z - 4*d - 8 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117\/23 + -361\/184. Let p = 5\/8 - a. What is the second smallest value in p, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17712, -19441, -21170, -22899, -24628?\nAnswer: -26357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15048.68 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17245573.\nAnswer: 17245573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**2 + 2661. Let y(j) = -24*j - 3. Calculate v(y(g)).\nAnswer: -3456*g**2 - 864*g + 2607","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -3*w - 2063. Let p be (-4)\/(-12) + 17125\/(-30). Let f = w - p. Find the common denominator of -45\/11 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*123\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76120 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*k + 93*k - 123*k + 630 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-51)\/((-4131)\/18)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 1769*v - 287416. What is u(-181)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 97372*j**3 + 592435564*j**2 + 1778183148*j.\nAnswer: 4*j*(j - 12173)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 2*a + 3*a)*(32*a**3 + 0*a**2 - 33*a**3 + 191*a + 2*a**2 - 2) to the form b*a**3 + p*a**4 + f*a**2 + v + j*a and give f.\nAnswer: 1337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1072, -5, -4, 40 in ascending order.\nAnswer: -5, -4, 40, 1072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452.2976 centuries to years.\nAnswer: 45229.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1572.535 and -6?\nAnswer: -9435.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*s - 1620 = -159*s. Which is the nearest to s? (a) 1 (b) -1 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103? (a) 2\/7 (b) -4 (c) 84\/13 (d) -0.5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217363.6 litres to millilitres.\nAnswer: 217363600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqbqxhxhbxh. Give prob of picking 1 h and 2 x.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 + -1340029?\nAnswer: -1340028.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 26 + 11. Let 306*h**5 - 75*h**q - 8*h + 28*h - 281*h**5 + 10*h**4 + 20*h**2 = 0. Calculate h.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 9*s**2 + 15*s - 6. What is n(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*(2 + q - 2) + (-2 - 5 + 3)*(-2*q + 0*q - q) + q + 9*q - 4*q to g*q + i and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-18))\/((-2148)\/(-4296)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5954 + 5968. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123681, 0.5, -0.4.\nAnswer: -0.4, 0.5, 123681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 16 = -11*y. Calculate the least common multiple of (-300)\/(-135)*9\/y and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uududduudduuuuuduuu. Give prob of sequence duud.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h**2 - 11*h - 14. Let p(r) = -4*r**2 + 4*r + 5. Calculate -3*k(m) - 8*p(m).\nAnswer: -m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -340433 + -24424?\nAnswer: -420412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -12*h**3 - h**2. Let q be i(-1). Let m = -1 + 2. What is the greatest common divisor of q and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}